messages
listlengths 3
3
| continue_final_message
bool 2
classes |
|---|---|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [90, 11, 37, 95] using the four basic arithmetic operations (+, -, *, /) to reach 55.",
"role": "user"
},
{
"content": "Current State: 55:[90, 11, 37, 95], Operations: []\nExploring Operation: 95-90=5, Resulting Numbers: [11, 37, 5]\nGenerated Node #0,0: 55:[11, 37, 5] Operation: 95-90=5\nMoving to Node #0,0\nCurrent State: 55:[11, 37, 5], Operations: ['95-90=5']\nExploring Operation: 11+37=48, Resulting Numbers: [5, 48]\nGenerated Node #0,0,0: 55:[5, 48] Operation: 11+37=48\nMoving to Node #0,0,0\nCurrent State: 55:[5, 48], Operations: ['95-90=5', '11+37=48']\nExploring Operation: 5+48=53, Resulting Numbers: [53]\n53,55 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 55:[5, 48], Operations: ['95-90=5', '11+37=48']\nExploring Operation: 48-5=43, Resulting Numbers: [43]\n43,55 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 55:[11, 37, 5], Operations: ['95-90=5']\nExploring Operation: 37+5=42, Resulting Numbers: [11, 42]\nGenerated Node #0,0,1: 55:[11, 42] Operation: 37+5=42\nMoving to Node #0,0,1\nCurrent State: 55:[11, 42], Operations: ['95-90=5', '37+5=42']\nExploring Operation: 11+42=53, Resulting Numbers: [53]\n53,55 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 55:[11, 42], Operations: ['95-90=5', '37+5=42']\nExploring Operation: 42-11=31, Resulting Numbers: [31]\n31,55 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 55:[11, 37, 5], Operations: ['95-90=5']\nExploring Operation: 37-11=26, Resulting Numbers: [5, 26]\nGenerated Node #0,0,2: 55:[5, 26] Operation: 37-11=26\nMoving to Node #0,0,2\nCurrent State: 55:[5, 26], Operations: ['95-90=5', '37-11=26']\nExploring Operation: 26-5=21, Resulting Numbers: [21]\n21,55 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 55:[5, 26], Operations: ['95-90=5', '37-11=26']\nExploring Operation: 5+26=31, Resulting Numbers: [31]\n31,55 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 55:[11, 37, 5], Operations: ['95-90=5']\nExploring Operation: 11*5=55, Resulting Numbers: [37, 55]\nGenerated Node #0,0,3: 55:[37, 55] Operation: 11*5=55\nMoving to Node #0,0,3\nCurrent State: 55:[37, 55], Operations: ['95-90=5', '11*5=55']\nExploring Operation: 55-37=18, Resulting Numbers: [18]\n18,55 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 55:[37, 55], Operations: ['95-90=5', '11*5=55']\nExploring Operation: 37+55=92, Resulting Numbers: [92]\n92,55 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 55:[11, 37, 5], Operations: ['95-90=5']\nExploring Operation: 11-5=6, Resulting Numbers: [37, 6]\nGenerated Node #0,0,4: 55:[37, 6] Operation: 11-5=6\nMoving to Node #0,0,4\nCurrent State: 55:[37, 6], Operations: ['95-90=5', '11-5=6']\nExploring Operation: 37+6=43, Resulting Numbers: [43]\n43,55 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 55:[37, 6], Operations: ['95-90=5', '11-5=6']\nExploring Operation: 37-6=31, Resulting Numbers: [31]\n31,55 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 55:[11, 37, 5], Operations: ['95-90=5']\nExploring Operation: 37-5=32, Resulting Numbers: [11, 32]\nGenerated Node #0,0,5: 55:[11, 32] Operation: 37-5=32\nMoving to Node #0,0,5\nCurrent State: 55:[11, 32], Operations: ['95-90=5', '37-5=32']\nExploring Operation: 32-11=21, Resulting Numbers: [21]\n21,55 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 55:[11, 32], Operations: ['95-90=5', '37-5=32']\nExploring Operation: 11+32=43, Resulting Numbers: [43]\n43,55 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 55:[11, 37, 5], Operations: ['95-90=5']\nExploring Operation: 11+5=16, Resulting Numbers: [37, 16]\nGenerated Node #0,0,6: 55:[37, 16] Operation: 11+5=16\nMoving to Node #0,0,6\nCurrent State: 55:[37, 16], Operations: ['95-90=5', '11+5=16']\nExploring Operation: 37+16=53, Resulting Numbers: [53]\n53,55 unequal: No Solution\nMoving to Node #0,0,6\nCurrent State: 55:[37, 16], Operations: ['95-90=5', '11+5=16']\nExploring Operation: 37-16=21, Resulting Numbers: [21]\n21,55 unequal: No Solution\nMoving to Node #0\nCurrent State: 55:[90, 11, 37, 95], Operations: []\nExploring Operation: 95-37=58, Resulting Numbers: [90, 11, 58]\nGenerated Node #0,1: 55:[90, 11, 58] Operation: 95-37=58\nMoving to Node #0,1\nCurrent State: 55:[90, 11, 58], Operations: ['95-37=58']\nExploring Operation: 90-58=32, Resulting Numbers: [11, 32]\nGenerated Node #0,1,0: 55:[11, 32] Operation: 90-58=32\nMoving to Node #0,1,0\nCurrent State: 55:[11, 32], Operations: ['95-37=58', '90-58=32']\nExploring Operation: 32-11=21, Resulting Numbers: [21]\n21,55 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 55:[11, 32], Operations: ['95-37=58', '90-58=32']\nExploring Operation: 11+32=43, Resulting Numbers: [43]\n43,55 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 55:[90, 11, 58], Operations: ['95-37=58']\nExploring Operation: 90-11=79, Resulting Numbers: [58, 79]\nGenerated Node #0,1,1: 55:[58, 79] Operation: 90-11=79\nMoving to Node #0,1,1\nCurrent State: 55:[58, 79], Operations: ['95-37=58', '90-11=79']\nExploring Operation: 79-58=21, Resulting Numbers: [21]\n21,55 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 55:[90, 11, 58], Operations: ['95-37=58']\nExploring Operation: 58-11=47, Resulting Numbers: [90, 47]\nGenerated Node #0,1,2: 55:[90, 47] Operation: 58-11=47\nMoving to Node #0,1,2\nCurrent State: 55:[90, 47], Operations: ['95-37=58', '58-11=47']\nExploring Operation: 90-47=43, Resulting Numbers: [43]\n43,55 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 55:[90, 11, 58], Operations: ['95-37=58']\nExploring Operation: 90+11=101, Resulting Numbers: [58, 101]\nGenerated Node #0,1,3: 55:[58, 101] Operation: 90+11=101\nMoving to Node #0,1,3\nCurrent State: 55:[58, 101], Operations: ['95-37=58', '90+11=101']\nExploring Operation: 101-58=43, Resulting Numbers: [43]\n43,55 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 55:[90, 11, 58], Operations: ['95-37=58']\nExploring Operation: 11+58=69, Resulting Numbers: [90, 69]\nGenerated Node #0,1,4: 55:[90, 69] Operation: 11+58=69\nMoving to Node #0,1,4\nCurrent State: 55:[90, 69], Operations: ['95-37=58', '11+58=69']\nExploring Operation: 90-69=21, Resulting Numbers: [21]\n21,55 unequal: No Solution\nMoving to Node #0\nCurrent State: 55:[90, 11, 37, 95], Operations: []\nExploring Operation: 90-37=53, Resulting Numbers: [11, 95, 53]\nGenerated Node #0,2: 55:[11, 95, 53] Operation: 90-37=53\nMoving to Node #0,2\nCurrent State: 55:[11, 95, 53], Operations: ['90-37=53']\nExploring Operation: 95-53=42, Resulting Numbers: [11, 42]\nGenerated Node #0,2,0: 55:[11, 42] Operation: 95-53=42\nMoving to Node #0,2,0\nCurrent State: 55:[11, 42], Operations: ['90-37=53', '95-53=42']\nExploring Operation: 11+42=53, Resulting Numbers: [53]\n53,55 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 55:[11, 42], Operations: ['90-37=53', '95-53=42']\nExploring Operation: 42-11=31, Resulting Numbers: [31]\n31,55 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 55:[11, 95, 53], Operations: ['90-37=53']\nExploring Operation: 95-11=84, Resulting Numbers: [53, 84]\nGenerated Node #0,2,1: 55:[53, 84] Operation: 95-11=84\nMoving to Node #0,2,1\nCurrent State: 55:[53, 84], Operations: ['90-37=53', '95-11=84']\nExploring Operation: 84-53=31, Resulting Numbers: [31]\n31,55 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 55:[11, 95, 53], Operations: ['90-37=53']\nExploring Operation: 11+53=64, Resulting Numbers: [95, 64]\nGenerated Node #0,2,2: 55:[95, 64] Operation: 11+53=64\nMoving to Node #0,2,2\nCurrent State: 55:[95, 64], Operations: ['90-37=53', '11+53=64']\nExploring Operation: 95-64=31, Resulting Numbers: [31]\n31,55 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 55:[11, 95, 53], Operations: ['90-37=53']\nExploring Operation: 11+95=106, Resulting Numbers: [53, 106]\nGenerated Node #0,2,3: 55:[53, 106] Operation: 11+95=106\nMoving to Node #0,2,3\nCurrent State: 55:[53, 106], Operations: ['90-37=53', '11+95=106']\nExploring Operation: 106-53=53, Resulting Numbers: [53]\n53,55 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 55:[53, 106], Operations: ['90-37=53', '11+95=106']\nExploring Operation: 106/53=2, Resulting Numbers: [2]\n2,55 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 55:[11, 95, 53], Operations: ['90-37=53']\nExploring Operation: 53-11=42, Resulting Numbers: [95, 42]\nGenerated Node #0,2,4: 55:[95, 42] Operation: 53-11=42\nMoving to Node #0,2,4\nCurrent State: 55:[95, 42], Operations: ['90-37=53', '53-11=42']\nExploring Operation: 95-42=53, Resulting Numbers: [53]\n53,55 unequal: No Solution\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [70, 63, 75, 32] using the four basic arithmetic operations (+, -, *, /) to reach 100.",
"role": "user"
},
{
"content": "Current State: 100:[70, 63, 75, 32], Operations: []\nExploring Operation: 75-70=5, Resulting Numbers: [63, 32, 5]\nGenerated Node #0,0: 100:[63, 32, 5] Operation: 75-70=5\nMoving to Node #0,0\nCurrent State: 100:[63, 32, 5], Operations: ['75-70=5']\nExploring Operation: 63+32=95, Resulting Numbers: [5, 95]\nGenerated Node #0,0,0: 100:[5, 95] Operation: 63+32=95\nMoving to Node #0,0,0\nCurrent State: 100:[5, 95], Operations: ['75-70=5', '63+32=95']\nExploring Operation: 5+95=100, Resulting Numbers: [100]\n100,100 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [5, 5, 33, 33] using the four basic arithmetic operations (+, -, *, /) to reach 76.",
"role": "user"
},
{
"content": "Current State: 76:[5, 5, 33, 33], Operations: []\nExploring Operation: 5*5=25, Resulting Numbers: [33, 33, 25]\nGenerated Node #0,0: 76:[33, 33, 25] Operation: 5*5=25\nMoving to Node #0,0\nCurrent State: 76:[33, 33, 25], Operations: ['5*5=25']\nExploring Operation: 33+33=66, Resulting Numbers: [25, 66]\nGenerated Node #0,0,0: 76:[25, 66] Operation: 33+33=66\nMoving to Node #0,0,0\nCurrent State: 76:[25, 66], Operations: ['5*5=25', '33+33=66']\nExploring Operation: 25+66=91, Resulting Numbers: [91]\n91,76 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 76:[25, 66], Operations: ['5*5=25', '33+33=66']\nExploring Operation: 66-25=41, Resulting Numbers: [41]\n41,76 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 76:[33, 33, 25], Operations: ['5*5=25']\nExploring Operation: 33+25=58, Resulting Numbers: [33, 58]\nGenerated Node #0,0,1: 76:[33, 58] Operation: 33+25=58\nMoving to Node #0,0,1\nCurrent State: 76:[33, 58], Operations: ['5*5=25', '33+25=58']\nExploring Operation: 33+58=91, Resulting Numbers: [91]\n91,76 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 76:[33, 58], Operations: ['5*5=25', '33+25=58']\nExploring Operation: 58-33=25, Resulting Numbers: [25]\n25,76 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 76:[33, 33, 25], Operations: ['5*5=25']\nExploring Operation: 33+25=58, Resulting Numbers: [33, 58]\nGenerated Node #0,0,2: 76:[33, 58] Operation: 33+25=58\nMoving to Node #0,0,2\nCurrent State: 76:[33, 58], Operations: ['5*5=25', '33+25=58']\nExploring Operation: 33+58=91, Resulting Numbers: [91]\n91,76 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 76:[33, 58], Operations: ['5*5=25', '33+25=58']\nExploring Operation: 58-33=25, Resulting Numbers: [25]\n25,76 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 76:[33, 33, 25], Operations: ['5*5=25']\nExploring Operation: 33-25=8, Resulting Numbers: [33, 8]\nGenerated Node #0,0,3: 76:[33, 8] Operation: 33-25=8\nMoving to Node #0,0,3\nCurrent State: 76:[33, 8], Operations: ['5*5=25', '33-25=8']\nExploring Operation: 33+8=41, Resulting Numbers: [41]\n41,76 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 76:[33, 8], Operations: ['5*5=25', '33-25=8']\nExploring Operation: 33-8=25, Resulting Numbers: [25]\n25,76 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 76:[33, 33, 25], Operations: ['5*5=25']\nExploring Operation: 33-25=8, Resulting Numbers: [33, 8]\nGenerated Node #0,0,4: 76:[33, 8] Operation: 33-25=8\nMoving to Node #0,0,4\nCurrent State: 76:[33, 8], Operations: ['5*5=25', '33-25=8']\nExploring Operation: 33+8=41, Resulting Numbers: [41]\n41,76 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 76:[33, 8], Operations: ['5*5=25', '33-25=8']\nExploring Operation: 33-8=25, Resulting Numbers: [25]\n25,76 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 76:[33, 33, 25], Operations: ['5*5=25']\nExploring Operation: 33/33=1, Resulting Numbers: [25, 1]\nGenerated Node #0,0,5: 76:[25, 1] Operation: 33/33=1\nMoving to Node #0,0,5\nCurrent State: 76:[25, 1], Operations: ['5*5=25', '33/33=1']\nExploring Operation: 25+1=26, Resulting Numbers: [26]\n26,76 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 76:[25, 1], Operations: ['5*5=25', '33/33=1']\nExploring Operation: 25*1=25, Resulting Numbers: [25]\n25,76 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 76:[25, 1], Operations: ['5*5=25', '33/33=1']\nExploring Operation: 25/1=25, Resulting Numbers: [25]\n25,76 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 76:[25, 1], Operations: ['5*5=25', '33/33=1']\nExploring Operation: 25-1=24, Resulting Numbers: [24]\n24,76 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 76:[33, 33, 25], Operations: ['5*5=25']\nExploring Operation: 33-33=0, Resulting Numbers: [25, 0]\nGenerated Node #0,0,6: 76:[25, 0] Operation: 33-33=0\nMoving to Node #0,0,6\nCurrent State: 76:[25, 0], Operations: ['5*5=25', '33-33=0']\nExploring Operation: 25+0=25, Resulting Numbers: [25]\n25,76 unequal: No Solution\nMoving to Node #0,0,6\nCurrent State: 76:[25, 0], Operations: ['5*5=25', '33-33=0']\nExploring Operation: 25-0=25, Resulting Numbers: [25]\n25,76 unequal: No Solution\nMoving to Node #0,0,6\nCurrent State: 76:[25, 0], Operations: ['5*5=25', '33-33=0']\nExploring Operation: 25*0=0, Resulting Numbers: [0]\n0,76 unequal: No Solution\nMoving to Node #0\nCurrent State: 76:[5, 5, 33, 33], Operations: []\nExploring Operation: 5+5=10, Resulting Numbers: [33, 33, 10]\nGenerated Node #0,1: 76:[33, 33, 10] Operation: 5+5=10\nMoving to Node #0,1\nCurrent State: 76:[33, 33, 10], Operations: ['5+5=10']\nExploring Operation: 33+33=66, Resulting Numbers: [10, 66]\nGenerated Node #0,1,0: 76:[10, 66] Operation: 33+33=66\nMoving to Node #0,1,0\nCurrent State: 76:[10, 66], Operations: ['5+5=10', '33+33=66']\nExploring Operation: 10+66=76, Resulting Numbers: [76]\n76,76 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [34, 19, 42, 7] using the four basic arithmetic operations (+, -, *, /) to reach 28.",
"role": "user"
},
{
"content": "Current State: 28:[34, 19, 42, 7], Operations: []\nExploring Operation: 42-34=8, Resulting Numbers: [19, 7, 8]\nGenerated Node #0,0: 28:[19, 7, 8] Operation: 42-34=8\nMoving to Node #0,0\nCurrent State: 28:[19, 7, 8], Operations: ['42-34=8']\nExploring Operation: 19+8=27, Resulting Numbers: [7, 27]\nGenerated Node #0,0,0: 28:[7, 27] Operation: 19+8=27\nMoving to Node #0,0,0\nCurrent State: 28:[7, 27], Operations: ['42-34=8', '19+8=27']\nExploring Operation: 7+27=34, Resulting Numbers: [34]\n34,28 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 28:[7, 27], Operations: ['42-34=8', '19+8=27']\nExploring Operation: 27-7=20, Resulting Numbers: [20]\n20,28 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 28:[19, 7, 8], Operations: ['42-34=8']\nExploring Operation: 19+7=26, Resulting Numbers: [8, 26]\nGenerated Node #0,0,1: 28:[8, 26] Operation: 19+7=26\nMoving to Node #0,0,1\nCurrent State: 28:[8, 26], Operations: ['42-34=8', '19+7=26']\nExploring Operation: 26-8=18, Resulting Numbers: [18]\n18,28 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 28:[8, 26], Operations: ['42-34=8', '19+7=26']\nExploring Operation: 8+26=34, Resulting Numbers: [34]\n34,28 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 28:[19, 7, 8], Operations: ['42-34=8']\nExploring Operation: 19-7=12, Resulting Numbers: [8, 12]\nGenerated Node #0,0,2: 28:[8, 12] Operation: 19-7=12\nMoving to Node #0,0,2\nCurrent State: 28:[8, 12], Operations: ['42-34=8', '19-7=12']\nExploring Operation: 12-8=4, Resulting Numbers: [4]\n4,28 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 28:[8, 12], Operations: ['42-34=8', '19-7=12']\nExploring Operation: 8+12=20, Resulting Numbers: [20]\n20,28 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 28:[19, 7, 8], Operations: ['42-34=8']\nExploring Operation: 19-8=11, Resulting Numbers: [7, 11]\nGenerated Node #0,0,3: 28:[7, 11] Operation: 19-8=11\nMoving to Node #0,0,3\nCurrent State: 28:[7, 11], Operations: ['42-34=8', '19-8=11']\nExploring Operation: 11-7=4, Resulting Numbers: [4]\n4,28 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 28:[7, 11], Operations: ['42-34=8', '19-8=11']\nExploring Operation: 7+11=18, Resulting Numbers: [18]\n18,28 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 28:[19, 7, 8], Operations: ['42-34=8']\nExploring Operation: 7+8=15, Resulting Numbers: [19, 15]\nGenerated Node #0,0,4: 28:[19, 15] Operation: 7+8=15\nMoving to Node #0,0,4\nCurrent State: 28:[19, 15], Operations: ['42-34=8', '7+8=15']\nExploring Operation: 19-15=4, Resulting Numbers: [4]\n4,28 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 28:[19, 15], Operations: ['42-34=8', '7+8=15']\nExploring Operation: 19+15=34, Resulting Numbers: [34]\n34,28 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 28:[19, 7, 8], Operations: ['42-34=8']\nExploring Operation: 8-7=1, Resulting Numbers: [19, 1]\nGenerated Node #0,0,5: 28:[19, 1] Operation: 8-7=1\nMoving to Node #0,0,5\nCurrent State: 28:[19, 1], Operations: ['42-34=8', '8-7=1']\nExploring Operation: 19-1=18, Resulting Numbers: [18]\n18,28 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 28:[19, 1], Operations: ['42-34=8', '8-7=1']\nExploring Operation: 19*1=19, Resulting Numbers: [19]\n19,28 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 28:[19, 1], Operations: ['42-34=8', '8-7=1']\nExploring Operation: 19/1=19, Resulting Numbers: [19]\n19,28 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 28:[19, 1], Operations: ['42-34=8', '8-7=1']\nExploring Operation: 19+1=20, Resulting Numbers: [20]\n20,28 unequal: No Solution\nMoving to Node #0\nCurrent State: 28:[34, 19, 42, 7], Operations: []\nExploring Operation: 42-19=23, Resulting Numbers: [34, 7, 23]\nGenerated Node #0,1: 28:[34, 7, 23] Operation: 42-19=23\nMoving to Node #0,1\nCurrent State: 28:[34, 7, 23], Operations: ['42-19=23']\nExploring Operation: 34-23=11, Resulting Numbers: [7, 11]\nGenerated Node #0,1,0: 28:[7, 11] Operation: 34-23=11\nMoving to Node #0,1,0\nCurrent State: 28:[7, 11], Operations: ['42-19=23', '34-23=11']\nExploring Operation: 11-7=4, Resulting Numbers: [4]\n4,28 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 28:[7, 11], Operations: ['42-19=23', '34-23=11']\nExploring Operation: 7+11=18, Resulting Numbers: [18]\n18,28 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 28:[34, 7, 23], Operations: ['42-19=23']\nExploring Operation: 34-7=27, Resulting Numbers: [23, 27]\nGenerated Node #0,1,1: 28:[23, 27] Operation: 34-7=27\nMoving to Node #0,1,1\nCurrent State: 28:[23, 27], Operations: ['42-19=23', '34-7=27']\nExploring Operation: 27-23=4, Resulting Numbers: [4]\n4,28 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 28:[23, 27], Operations: ['42-19=23', '34-7=27']\nExploring Operation: 23+27=50, Resulting Numbers: [50]\n50,28 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 28:[34, 7, 23], Operations: ['42-19=23']\nExploring Operation: 7+23=30, Resulting Numbers: [34, 30]\nGenerated Node #0,1,2: 28:[34, 30] Operation: 7+23=30\nMoving to Node #0,1,2\nCurrent State: 28:[34, 30], Operations: ['42-19=23', '7+23=30']\nExploring Operation: 34-30=4, Resulting Numbers: [4]\n4,28 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 28:[34, 7, 23], Operations: ['42-19=23']\nExploring Operation: 23-7=16, Resulting Numbers: [34, 16]\nGenerated Node #0,1,3: 28:[34, 16] Operation: 23-7=16\nMoving to Node #0,1,3\nCurrent State: 28:[34, 16], Operations: ['42-19=23', '23-7=16']\nExploring Operation: 34-16=18, Resulting Numbers: [18]\n18,28 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 28:[34, 16], Operations: ['42-19=23', '23-7=16']\nExploring Operation: 34+16=50, Resulting Numbers: [50]\n50,28 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 28:[34, 7, 23], Operations: ['42-19=23']\nExploring Operation: 34+7=41, Resulting Numbers: [23, 41]\nGenerated Node #0,1,4: 28:[23, 41] Operation: 34+7=41\nMoving to Node #0,1,4\nCurrent State: 28:[23, 41], Operations: ['42-19=23', '34+7=41']\nExploring Operation: 41-23=18, Resulting Numbers: [18]\n18,28 unequal: No Solution\nMoving to Node #0\nCurrent State: 28:[34, 19, 42, 7], Operations: []\nExploring Operation: 42/7=6, Resulting Numbers: [34, 19, 6]\nGenerated Node #0,2: 28:[34, 19, 6] Operation: 42/7=6\nMoving to Node #0,2\nCurrent State: 28:[34, 19, 6], Operations: ['42/7=6']\nExploring Operation: 34-19=15, Resulting Numbers: [6, 15]\nGenerated Node #0,2,0: 28:[6, 15] Operation: 34-19=15\nMoving to Node #0,2,0\nCurrent State: 28:[6, 15], Operations: ['42/7=6', '34-19=15']\nExploring Operation: 15-6=9, Resulting Numbers: [9]\n9,28 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 28:[6, 15], Operations: ['42/7=6', '34-19=15']\nExploring Operation: 6+15=21, Resulting Numbers: [21]\n21,28 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 28:[34, 19, 6], Operations: ['42/7=6']\nExploring Operation: 34-6=28, Resulting Numbers: [19, 28]\nGenerated Node #0,2,1: 28:[19, 28] Operation: 34-6=28\nMoving to Node #0,2,1\nCurrent State: 28:[19, 28], Operations: ['42/7=6', '34-6=28']\nExploring Operation: 28-19=9, Resulting Numbers: [9]\n9,28 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 28:[19, 28], Operations: ['42/7=6', '34-6=28']\nExploring Operation: 19+28=47, Resulting Numbers: [47]\n47,28 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 28:[34, 19, 6], Operations: ['42/7=6']\nExploring Operation: 19-6=13, Resulting Numbers: [34, 13]\nGenerated Node #0,2,2: 28:[34, 13] Operation: 19-6=13\nMoving to Node #0,2,2\nCurrent State: 28:[34, 13], Operations: ['42/7=6', '19-6=13']\nExploring Operation: 34-13=21, Resulting Numbers: [21]\n21,28 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 28:[34, 13], Operations: ['42/7=6', '19-6=13']\nExploring Operation: 34+13=47, Resulting Numbers: [47]\n47,28 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 28:[34, 19, 6], Operations: ['42/7=6']\nExploring Operation: 19+6=25, Resulting Numbers: [34, 25]\nGenerated Node #0,2,3: 28:[34, 25] Operation: 19+6=25\nMoving to Node #0,2,3\nCurrent State: 28:[34, 25], Operations: ['42/7=6', '19+6=25']\nExploring Operation: 34-25=9, Resulting Numbers: [9]\n9,28 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 28:[34, 19, 6], Operations: ['42/7=6']\nExploring Operation: 34+6=40, Resulting Numbers: [19, 40]\nGenerated Node #0,2,4: 28:[19, 40] Operation: 34+6=40\nMoving to Node #0,2,4\nCurrent State: 28:[19, 40], Operations: ['42/7=6', '34+6=40']\nExploring Operation: 40-19=21, Resulting Numbers: [21]\n21,28 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 28:[34, 19, 6], Operations: ['42/7=6']\nExploring Operation: 34+19=53, Resulting Numbers: [6, 53]\nGenerated Node #0,2,5: 28:[6, 53] Operation: 34+19=53\nMoving to Node #0,2,5\nCurrent State: 28:[6, 53], Operations: ['42/7=6', '34+19=53']\nExploring Operation: 53-6=47, Resulting Numbers: [47]\n47,28 unequal: No Solution\nMoving to Node #0\nCurrent State: 28:[34, 19, 42, 7], Operations: []\nExploring Operation: 34-19=15, Resulting Numbers: [42, 7, 15]\nGenerated Node #0,3: 28:[42, 7, 15] Operation: 34-19=15\nMoving to Node #0,3\nCurrent State: 28:[42, 7, 15], Operations: ['34-19=15']\nExploring Operation: 42-15=27, Resulting Numbers: [7, 27]\nGenerated Node #0,3,0: 28:[7, 27] Operation: 42-15=27\nMoving to Node #0,3,0\nCurrent State: 28:[7, 27], Operations: ['34-19=15', '42-15=27']\nExploring Operation: 7+27=34, Resulting Numbers: [34]\n34,28 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 28:[7, 27], Operations: ['34-19=15', '42-15=27']\nExploring Operation: 27-7=20, Resulting Numbers: [20]\n20,28 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 28:[42, 7, 15], Operations: ['34-19=15']\nExploring Operation: 42/7=6, Resulting Numbers: [15, 6]\nGenerated Node #0,3,1: 28:[15, 6] Operation: 42/7=6\nMoving to Node #0,3,1\nCurrent State: 28:[15, 6], Operations: ['34-19=15', '42/7=6']\nExploring Operation: 15-6=9, Resulting Numbers: [9]\n9,28 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 28:[15, 6], Operations: ['34-19=15', '42/7=6']\nExploring Operation: 15+6=21, Resulting Numbers: [21]\n21,28 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 28:[42, 7, 15], Operations: ['34-19=15']\nExploring Operation: 42-7=35, Resulting Numbers: [15, 35]\nGenerated Node #0,3,2: 28:[15, 35] Operation: 42-7=35\nMoving to Node #0,3,2\nCurrent State: 28:[15, 35], Operations: ['34-19=15', '42-7=35']\nExploring Operation: 35-15=20, Resulting Numbers: [20]\n20,28 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 28:[15, 35], Operations: ['34-19=15', '42-7=35']\nExploring Operation: 15+35=50, Resulting Numbers: [50]\n50,28 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 28:[42, 7, 15], Operations: ['34-19=15']\nExploring Operation: 15-7=8, Resulting Numbers: [42, 8]\nGenerated Node #0,3,3: 28:[42, 8] Operation: 15-7=8\nMoving to Node #0,3,3\nCurrent State: 28:[42, 8], Operations: ['34-19=15', '15-7=8']\nExploring Operation: 42-8=34, Resulting Numbers: [34]\n34,28 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 28:[42, 8], Operations: ['34-19=15', '15-7=8']\nExploring Operation: 42+8=50, Resulting Numbers: [50]\n50,28 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 28:[42, 7, 15], Operations: ['34-19=15']\nExploring Operation: 7+15=22, Resulting Numbers: [42, 22]\nGenerated Node #0,3,4: 28:[42, 22] Operation: 7+15=22\nMoving to Node #0,3,4\nCurrent State: 28:[42, 22], Operations: ['34-19=15', '7+15=22']\nExploring Operation: 42-22=20, Resulting Numbers: [20]\n20,28 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 28:[42, 7, 15], Operations: ['34-19=15']\nExploring Operation: 42+7=49, Resulting Numbers: [15, 49]\nGenerated Node #0,3,5: 28:[15, 49] Operation: 42+7=49\nMoving to Node #0,3,5\nCurrent State: 28:[15, 49], Operations: ['34-19=15', '42+7=49']\nExploring Operation: 49-15=34, Resulting Numbers: [34]\n34,28 unequal: No Solution\nMoving to Node #0\nCurrent State: 28:[34, 19, 42, 7], Operations: []\nExploring Operation: 42-7=35, Resulting Numbers: [34, 19, 35]\nGenerated Node #0,4: 28:[34, 19, 35] Operation: 42-7=35\nMoving to Node #0,4\nCurrent State: 28:[34, 19, 35], Operations: ['42-7=35']\nExploring Operation: 35-34=1, Resulting Numbers: [19, 1]\nGenerated Node #0,4,0: 28:[19, 1] Operation: 35-34=1\nMoving to Node #0,4,0\nCurrent State: 28:[19, 1], Operations: ['42-7=35', '35-34=1']\nExploring Operation: 19-1=18, Resulting Numbers: [18]\n18,28 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 28:[19, 1], Operations: ['42-7=35', '35-34=1']\nExploring Operation: 19*1=19, Resulting Numbers: [19]\n19,28 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 28:[19, 1], Operations: ['42-7=35', '35-34=1']\nExploring Operation: 19/1=19, Resulting Numbers: [19]\n19,28 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 28:[19, 1], Operations: ['42-7=35', '35-34=1']\nExploring Operation: 19+1=20, Resulting Numbers: [20]\n20,28 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 28:[34, 19, 35], Operations: ['42-7=35']\nExploring Operation: 34-19=15, Resulting Numbers: [35, 15]\nGenerated Node #0,4,1: 28:[35, 15] Operation: 34-19=15\nMoving to Node #0,4,1\nCurrent State: 28:[35, 15], Operations: ['42-7=35', '34-19=15']\nExploring Operation: 35-15=20, Resulting Numbers: [20]\n20,28 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 28:[35, 15], Operations: ['42-7=35', '34-19=15']\nExploring Operation: 35+15=50, Resulting Numbers: [50]\n50,28 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 28:[34, 19, 35], Operations: ['42-7=35']\nExploring Operation: 35-19=16, Resulting Numbers: [34, 16]\nGenerated Node #0,4,2: 28:[34, 16] Operation: 35-19=16\nMoving to Node #0,4,2\nCurrent State: 28:[34, 16], Operations: ['42-7=35', '35-19=16']\nExploring Operation: 34-16=18, Resulting Numbers: [18]\n18,28 unequal: No Solution\nMoving to Node #0,4,2\nCurrent State: 28:[34, 16], Operations: ['42-7=35', '35-19=16']\nExploring Operation: 34+16=50, Resulting Numbers: [50]\n50,28 unequal: No Solution\nMoving to Node #0\nCurrent State: 28:[34, 19, 42, 7], Operations: []\nExploring Operation: 34-7=27, Resulting Numbers: [19, 42, 27]\nGenerated Node #0,5: 28:[19, 42, 27] Operation: 34-7=27\nMoving to Node #0,5\nCurrent State: 28:[19, 42, 27], Operations: ['34-7=27']\nExploring Operation: 42-19=23, Resulting Numbers: [27, 23]\nGenerated Node #0,5,0: 28:[27, 23] Operation: 42-19=23\nMoving to Node #0,5,0\nCurrent State: 28:[27, 23], Operations: ['34-7=27', '42-19=23']\nExploring Operation: 27-23=4, Resulting Numbers: [4]\n4,28 unequal: No Solution\nMoving to Node #0,5,0\nCurrent State: 28:[27, 23], Operations: ['34-7=27', '42-19=23']\nExploring Operation: 27+23=50, Resulting Numbers: [50]\n50,28 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 28:[19, 42, 27], Operations: ['34-7=27']\nExploring Operation: 42-27=15, Resulting Numbers: [19, 15]\nGenerated Node #0,5,1: 28:[19, 15] Operation: 42-27=15\nMoving to Node #0,5,1\nCurrent State: 28:[19, 15], Operations: ['34-7=27', '42-27=15']\nExploring Operation: 19-15=4, Resulting Numbers: [4]\n4,28 unequal: No Solution\nMoving to Node #0,5,1\nCurrent State: 28:[19, 15], Operations: ['34-7=27', '42-27=15']\nExploring Operation: 19+15=34, Resulting Numbers: [34]\n34,28 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 28:[19, 42, 27], Operations: ['34-7=27']\nExploring Operation: 27-19=8, Resulting Numbers: [42, 8]\nGenerated Node #0,5,2: 28:[42, 8] Operation: 27-19=8\nMoving to Node #0,5,2\nCurrent State: 28:[42, 8], Operations: ['34-7=27', '27-19=8']\nExploring Operation: 42-8=34, Resulting Numbers: [34]\n34,28 unequal: No Solution\nMoving to Node #0,5,2\nCurrent State: 28:[42, 8], Operations: ['34-7=27', '27-19=8']\nExploring Operation: 42+8=50, Resulting Numbers: [50]\n50,28 unequal: No Solution\nMoving to Node #0\nCurrent State: 28:[34, 19, 42, 7], Operations: []\nExploring Operation: 19+7=26, Resulting Numbers: [34, 42, 26]\nGenerated Node #0,6: 28:[34, 42, 26] Operation: 19+7=26\nMoving to Node #0,6\nCurrent State: 28:[34, 42, 26], Operations: ['19+7=26']\nExploring Operation: 42-34=8, Resulting Numbers: [26, 8]\nGenerated Node #0,6,0: 28:[26, 8] Operation: 42-34=8\nMoving to Node #0,6,0\nCurrent State: 28:[26, 8], Operations: ['19+7=26', '42-34=8']\nExploring Operation: 26-8=18, Resulting Numbers: [18]\n18,28 unequal: No Solution\nMoving to Node #0,6,0\nCurrent State: 28:[26, 8], Operations: ['19+7=26', '42-34=8']\nExploring Operation: 26+8=34, Resulting Numbers: [34]\n34,28 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 28:[34, 42, 26], Operations: ['19+7=26']\nExploring Operation: 42-26=16, Resulting Numbers: [34, 16]\nGenerated Node #0,6,1: 28:[34, 16] Operation: 42-26=16\nMoving to Node #0,6,1\nCurrent State: 28:[34, 16], Operations: ['19+7=26', '42-26=16']\nExploring Operation: 34-16=18, Resulting Numbers: [18]\n18,28 unequal: No Solution\nMoving to Node #0,6,1\nCurrent State: 28:[34, 16], Operations: ['19+7=26', '42-26=16']\nExploring Operation: 34+16=50, Resulting Numbers: [50]\n50,28 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 28:[34, 42, 26], Operations: ['19+7=26']\nExploring Operation: 34-26=8, Resulting Numbers: [42, 8]\nGenerated Node #0,6,2: 28:[42, 8] Operation: 34-26=8\nMoving to Node #0,6,2\nCurrent State: 28:[42, 8], Operations: ['19+7=26', '34-26=8']\nExploring Operation: 42-8=34, Resulting Numbers: [34]\n34,28 unequal: No Solution\nMoving to Node #0,6,2\nCurrent State: 28:[42, 8], Operations: ['19+7=26', '34-26=8']\nExploring Operation: 42+8=50, Resulting Numbers: [50]\n50,28 unequal: No Solution\nMoving to Node #0\nCurrent State: 28:[34, 19, 42, 7], Operations: []\nExploring Operation: 19-7=12, Resulting Numbers: [34, 42, 12]\nGenerated Node #0,7: 28:[34, 42, 12] Operation: 19-7=12\nMoving to Node #0,7\nCurrent State: 28:[34, 42, 12], Operations: ['19-7=12']\nExploring Operation: 42-34=8, Resulting Numbers: [12, 8]\nGenerated Node #0,7,0: 28:[12, 8] Operation: 42-34=8\nMoving to Node #0,7,0\nCurrent State: 28:[12, 8], Operations: ['19-7=12', '42-34=8']\nExploring Operation: 12-8=4, Resulting Numbers: [4]\n4,28 unequal: No Solution\nMoving to Node #0,7,0\nCurrent State: 28:[12, 8], Operations: ['19-7=12', '42-34=8']\nExploring Operation: 12+8=20, Resulting Numbers: [20]\n20,28 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 28:[34, 42, 12], Operations: ['19-7=12']\nExploring Operation: 42-12=30, Resulting Numbers: [34, 30]\nGenerated Node #0,7,1: 28:[34, 30] Operation: 42-12=30\nMoving to Node #0,7,1\nCurrent State: 28:[34, 30], Operations: ['19-7=12', '42-12=30']\nExploring Operation: 34-30=4, Resulting Numbers: [4]\n4,28 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 28:[34, 42, 12], Operations: ['19-7=12']\nExploring Operation: 34-12=22, Resulting Numbers: [42, 22]\nGenerated Node #0,7,2: 28:[42, 22] Operation: 34-12=22\nMoving to Node #0,7,2\nCurrent State: 28:[42, 22], Operations: ['19-7=12', '34-12=22']\nExploring Operation: 42-22=20, Resulting Numbers: [20]\n20,28 unequal: No Solution\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [64, 50, 12, 56] using the four basic arithmetic operations (+, -, *, /) to reach 70.",
"role": "user"
},
{
"content": "Current State: 70:[64, 50, 12, 56], Operations: []\nExploring Operation: 50+12=62, Resulting Numbers: [64, 56, 62]\nGenerated Node #0,0: 70:[64, 56, 62] Operation: 50+12=62\nMoving to Node #0,0\nCurrent State: 70:[64, 56, 62], Operations: ['50+12=62']\nExploring Operation: 56+62=118, Resulting Numbers: [64, 118]\nGenerated Node #0,0,0: 70:[64, 118] Operation: 56+62=118\nMoving to Node #0,0,0\nCurrent State: 70:[64, 118], Operations: ['50+12=62', '56+62=118']\nExploring Operation: 118-64=54, Resulting Numbers: [54]\n54,70 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 70:[64, 56, 62], Operations: ['50+12=62']\nExploring Operation: 64+56=120, Resulting Numbers: [62, 120]\nGenerated Node #0,0,1: 70:[62, 120] Operation: 64+56=120\nMoving to Node #0,0,1\nCurrent State: 70:[62, 120], Operations: ['50+12=62', '64+56=120']\nExploring Operation: 120-62=58, Resulting Numbers: [58]\n58,70 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 70:[64, 56, 62], Operations: ['50+12=62']\nExploring Operation: 64-56=8, Resulting Numbers: [62, 8]\nGenerated Node #0,0,2: 70:[62, 8] Operation: 64-56=8\nMoving to Node #0,0,2\nCurrent State: 70:[62, 8], Operations: ['50+12=62', '64-56=8']\nExploring Operation: 62+8=70, Resulting Numbers: [70]\n70,70 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [86, 8, 22, 89] using the four basic arithmetic operations (+, -, *, /) to reach 58.",
"role": "user"
},
{
"content": "Current State: 58:[86, 8, 22, 89], Operations: []\nExploring Operation: 86-22=64, Resulting Numbers: [8, 89, 64]\nGenerated Node #0,0: 58:[8, 89, 64] Operation: 86-22=64\nExploring Operation: 89-22=67, Resulting Numbers: [86, 8, 67]\nGenerated Node #0,1: 58:[86, 8, 67] Operation: 89-22=67\nExploring Operation: 89-86=3, Resulting Numbers: [8, 22, 3]\nGenerated Node #0,2: 58:[8, 22, 3] Operation: 89-86=3\nExploring Operation: 86-8=78, Resulting Numbers: [22, 89, 78]\nGenerated Node #0,3: 58:[22, 89, 78] Operation: 86-8=78\nMoving to Node #0,2\nCurrent State: 58:[8, 22, 3], Operations: ['89-86=3']\nExploring Operation: 8*3=24, Resulting Numbers: [22, 24]\nGenerated Node #0,2,0: 58:[22, 24] Operation: 8*3=24\nExploring Operation: 22+3=25, Resulting Numbers: [8, 25]\nGenerated Node #0,2,1: 58:[8, 25] Operation: 22+3=25\nExploring Operation: 8+22=30, Resulting Numbers: [3, 30]\nGenerated Node #0,2,2: 58:[3, 30] Operation: 8+22=30\nExploring Operation: 8-3=5, Resulting Numbers: [22, 5]\nGenerated Node #0,2,3: 58:[22, 5] Operation: 8-3=5\nMoving to Node #0,1\nCurrent State: 58:[86, 8, 67], Operations: ['89-22=67']\nExploring Operation: 86+8=94, Resulting Numbers: [67, 94]\nGenerated Node #0,1,0: 58:[67, 94] Operation: 86+8=94\nExploring Operation: 86-8=78, Resulting Numbers: [67, 78]\nGenerated Node #0,1,1: 58:[67, 78] Operation: 86-8=78\nExploring Operation: 86-67=19, Resulting Numbers: [8, 19]\nGenerated Node #0,1,2: 58:[8, 19] Operation: 86-67=19\nExploring Operation: 67-8=59, Resulting Numbers: [86, 59]\nGenerated Node #0,1,3: 58:[86, 59] Operation: 67-8=59\nMoving to Node #0,0\nCurrent State: 58:[8, 89, 64], Operations: ['86-22=64']\nExploring Operation: 89-8=81, Resulting Numbers: [64, 81]\nGenerated Node #0,0,0: 58:[64, 81] Operation: 89-8=81\nExploring Operation: 64-8=56, Resulting Numbers: [89, 56]\nGenerated Node #0,0,1: 58:[89, 56] Operation: 64-8=56\nExploring Operation: 89-64=25, Resulting Numbers: [8, 25]\nGenerated Node #0,0,2: 58:[8, 25] Operation: 89-64=25\nExploring Operation: 64/8=8, Resulting Numbers: [89, 8]\nGenerated Node #0,0,3: 58:[89, 8] Operation: 64/8=8\nMoving to Node #0,3\nCurrent State: 58:[22, 89, 78], Operations: ['86-8=78']\nExploring Operation: 78-22=56, Resulting Numbers: [89, 56]\nGenerated Node #0,3,0: 58:[89, 56] Operation: 78-22=56\nExploring Operation: 22+89=111, Resulting Numbers: [78, 111]\nGenerated Node #0,3,1: 58:[78, 111] Operation: 22+89=111\nExploring Operation: 89-78=11, Resulting Numbers: [22, 11]\nGenerated Node #0,3,2: 58:[22, 11] Operation: 89-78=11\nExploring Operation: 89-22=67, Resulting Numbers: [78, 67]\nGenerated Node #0,3,3: 58:[78, 67] Operation: 89-22=67\nMoving to Node #0,2,2\nCurrent State: 58:[3, 30], Operations: ['89-86=3', '8+22=30']\nExploring Operation: 30-3=27, Resulting Numbers: [27]\n27,58 unequal: No Solution\nExploring Operation: 3+30=33, Resulting Numbers: [33]\n33,58 unequal: No Solution\nExploring Operation: 30/3=10, Resulting Numbers: [10]\n10,58 unequal: No Solution\nExploring Operation: 3*30=90, Resulting Numbers: [90]\n90,58 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 58:[22, 5], Operations: ['89-86=3', '8-3=5']\nExploring Operation: 22-5=17, Resulting Numbers: [17]\n17,58 unequal: No Solution\nExploring Operation: 22*5=110, Resulting Numbers: [110]\n110,58 unequal: No Solution\nExploring Operation: 22+5=27, Resulting Numbers: [27]\n27,58 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 58:[8, 25], Operations: ['89-86=3', '22+3=25']\nExploring Operation: 25-8=17, Resulting Numbers: [17]\n17,58 unequal: No Solution\nExploring Operation: 8*25=200, Resulting Numbers: [200]\n200,58 unequal: No Solution\nExploring Operation: 8+25=33, Resulting Numbers: [33]\n33,58 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 58:[8, 25], Operations: ['86-22=64', '89-64=25']\nExploring Operation: 8+25=33, Resulting Numbers: [33]\n33,58 unequal: No Solution\nExploring Operation: 8*25=200, Resulting Numbers: [200]\n200,58 unequal: No Solution\nExploring Operation: 25-8=17, Resulting Numbers: [17]\n17,58 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 58:[22, 24], Operations: ['89-86=3', '8*3=24']\nExploring Operation: 22+24=46, Resulting Numbers: [46]\n46,58 unequal: No Solution\nExploring Operation: 24-22=2, Resulting Numbers: [2]\n2,58 unequal: No Solution\nExploring Operation: 22*24=528, Resulting Numbers: [528]\n528,58 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 58:[22, 11], Operations: ['86-8=78', '89-78=11']\nExploring Operation: 22-11=11, Resulting Numbers: [11]\n11,58 unequal: No Solution\nExploring Operation: 22*11=242, Resulting Numbers: [242]\n242,58 unequal: No Solution\nExploring Operation: 22+11=33, Resulting Numbers: [33]\n33,58 unequal: No Solution\nExploring Operation: 22/11=2, Resulting Numbers: [2]\n2,58 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 58:[8, 19], Operations: ['89-22=67', '86-67=19']\nExploring Operation: 19-8=11, Resulting Numbers: [11]\n11,58 unequal: No Solution\nExploring Operation: 8+19=27, Resulting Numbers: [27]\n27,58 unequal: No Solution\nExploring Operation: 8*19=152, Resulting Numbers: [152]\n152,58 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 58:[86, 59], Operations: ['89-22=67', '67-8=59']\nExploring Operation: 86-59=27, Resulting Numbers: [27]\n27,58 unequal: No Solution\nExploring Operation: 86*59=5074, Resulting Numbers: [5074]\n5074,58 unequal: No Solution\nExploring Operation: 86+59=145, Resulting Numbers: [145]\n145,58 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 58:[67, 78], Operations: ['89-22=67', '86-8=78']\nExploring Operation: 67+78=145, Resulting Numbers: [145]\n145,58 unequal: No Solution\nExploring Operation: 67*78=5226, Resulting Numbers: [5226]\n5226,58 unequal: No Solution\nExploring Operation: 78-67=11, Resulting Numbers: [11]\n11,58 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 58:[64, 81], Operations: ['86-22=64', '89-8=81']\nExploring Operation: 81-64=17, Resulting Numbers: [17]\n17,58 unequal: No Solution\nExploring Operation: 64+81=145, Resulting Numbers: [145]\n145,58 unequal: No Solution\nExploring Operation: 64*81=5184, Resulting Numbers: [5184]\n5184,58 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 58:[78, 67], Operations: ['86-8=78', '89-22=67']\nExploring Operation: 78*67=5226, Resulting Numbers: [5226]\n5226,58 unequal: No Solution\nExploring Operation: 78-67=11, Resulting Numbers: [11]\n11,58 unequal: No Solution\nExploring Operation: 78+67=145, Resulting Numbers: [145]\n145,58 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 58:[89, 56], Operations: ['86-8=78', '78-22=56']\nExploring Operation: 89-56=33, Resulting Numbers: [33]\n33,58 unequal: No Solution\nExploring Operation: 89*56=4984, Resulting Numbers: [4984]\n4984,58 unequal: No Solution\nExploring Operation: 89+56=145, Resulting Numbers: [145]\n145,58 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 58:[89, 56], Operations: ['86-22=64', '64-8=56']\nExploring Operation: 89*56=4984, Resulting Numbers: [4984]\n4984,58 unequal: No Solution\nExploring Operation: 89+56=145, Resulting Numbers: [145]\n145,58 unequal: No Solution\nExploring Operation: 89-56=33, Resulting Numbers: [33]\n33,58 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 58:[89, 8], Operations: ['86-22=64', '64/8=8']\nExploring Operation: 89*8=712, Resulting Numbers: [712]\n712,58 unequal: No Solution\nExploring Operation: 89-8=81, Resulting Numbers: [81]\n81,58 unequal: No Solution\nExploring Operation: 89+8=97, Resulting Numbers: [97]\n97,58 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 58:[67, 94], Operations: ['89-22=67', '86+8=94']\nExploring Operation: 67+94=161, Resulting Numbers: [161]\n161,58 unequal: No Solution\nExploring Operation: 67*94=6298, Resulting Numbers: [6298]\n6298,58 unequal: No Solution\nExploring Operation: 94-67=27, Resulting Numbers: [27]\n27,58 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 58:[78, 111], Operations: ['86-8=78', '22+89=111']\nExploring Operation: 111-78=33, Resulting Numbers: [33]\n33,58 unequal: No Solution\nExploring Operation: 78+111=189, Resulting Numbers: [189]\n189,58 unequal: No Solution\nExploring Operation: 78*111=8658, Resulting Numbers: [8658]\n8658,58 unequal: No Solution\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [10, 67, 32, 53] using the four basic arithmetic operations (+, -, *, /) to reach 28.",
"role": "user"
},
{
"content": "Current State: 28:[10, 67, 32, 53], Operations: []\nExploring Operation: 67-32=35, Resulting Numbers: [10, 53, 35]\nGenerated Node #0,0: 28:[10, 53, 35] Operation: 67-32=35\nExploring Operation: 67-53=14, Resulting Numbers: [10, 32, 14]\nGenerated Node #0,1: 28:[10, 32, 14] Operation: 67-53=14\nMoving to Node #0,1\nCurrent State: 28:[10, 32, 14], Operations: ['67-53=14']\nExploring Operation: 32-10=22, Resulting Numbers: [14, 22]\nGenerated Node #0,1,0: 28:[14, 22] Operation: 32-10=22\nExploring Operation: 14-10=4, Resulting Numbers: [32, 4]\nGenerated Node #0,1,1: 28:[32, 4] Operation: 14-10=4\nMoving to Node #0,0\nCurrent State: 28:[10, 53, 35], Operations: ['67-32=35']\nExploring Operation: 53-10=43, Resulting Numbers: [35, 43]\nGenerated Node #0,0,0: 28:[35, 43] Operation: 53-10=43\nExploring Operation: 53-35=18, Resulting Numbers: [10, 18]\nGenerated Node #0,0,1: 28:[10, 18] Operation: 53-35=18\nMoving to Node #0,1,1\nCurrent State: 28:[32, 4], Operations: ['67-53=14', '14-10=4']\nExploring Operation: 32-4=28, Resulting Numbers: [28]\n28,28 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [45, 78, 40, 12] using the four basic arithmetic operations (+, -, *, /) to reach 61.",
"role": "user"
},
{
"content": "Current State: 61:[45, 78, 40, 12], Operations: []\nExploring Operation: 45+12=57, Resulting Numbers: [78, 40, 57]\nGenerated Node #0,0: 61:[78, 40, 57] Operation: 45+12=57\nExploring Operation: 78-12=66, Resulting Numbers: [45, 40, 66]\nGenerated Node #0,1: 61:[45, 40, 66] Operation: 78-12=66\nMoving to Node #0,0\nCurrent State: 61:[78, 40, 57], Operations: ['45+12=57']\nExploring Operation: 40+57=97, Resulting Numbers: [78, 97]\nGenerated Node #0,0,0: 61:[78, 97] Operation: 40+57=97\nExploring Operation: 78-40=38, Resulting Numbers: [57, 38]\nGenerated Node #0,0,1: 61:[57, 38] Operation: 78-40=38\nMoving to Node #0,1\nCurrent State: 61:[45, 40, 66], Operations: ['78-12=66']\nExploring Operation: 66-40=26, Resulting Numbers: [45, 26]\nGenerated Node #0,1,0: 61:[45, 26] Operation: 66-40=26\nExploring Operation: 45+40=85, Resulting Numbers: [66, 85]\nGenerated Node #0,1,1: 61:[66, 85] Operation: 45+40=85\nMoving to Node #0,0,1\nCurrent State: 61:[57, 38], Operations: ['45+12=57', '78-40=38']\nExploring Operation: 57-38=19, Resulting Numbers: [19]\n19,61 unequal: No Solution\nExploring Operation: 57+38=95, Resulting Numbers: [95]\n95,61 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 61:[66, 85], Operations: ['78-12=66', '45+40=85']\nExploring Operation: 66+85=151, Resulting Numbers: [151]\n151,61 unequal: No Solution\nExploring Operation: 85-66=19, Resulting Numbers: [19]\n19,61 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 61:[45, 26], Operations: ['78-12=66', '66-40=26']\nExploring Operation: 45+26=71, Resulting Numbers: [71]\n71,61 unequal: No Solution\nExploring Operation: 45-26=19, Resulting Numbers: [19]\n19,61 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 61:[78, 97], Operations: ['45+12=57', '40+57=97']\nExploring Operation: 78+97=175, Resulting Numbers: [175]\n175,61 unequal: No Solution\nExploring Operation: 97-78=19, Resulting Numbers: [19]\n19,61 unequal: No Solution\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [20, 28, 39, 62] using the four basic arithmetic operations (+, -, *, /) to reach 53.",
"role": "user"
},
{
"content": "Current State: 53:[20, 28, 39, 62], Operations: []\nExploring Operation: 20+39=59, Resulting Numbers: [28, 62, 59]\nGenerated Node #0,0: 53:[28, 62, 59] Operation: 20+39=59\nExploring Operation: 20+28=48, Resulting Numbers: [39, 62, 48]\nGenerated Node #0,1: 53:[39, 62, 48] Operation: 20+28=48\nMoving to Node #0,1\nCurrent State: 53:[39, 62, 48], Operations: ['20+28=48']\nExploring Operation: 62-39=23, Resulting Numbers: [48, 23]\nGenerated Node #0,1,0: 53:[48, 23] Operation: 62-39=23\nExploring Operation: 39+48=87, Resulting Numbers: [62, 87]\nGenerated Node #0,1,1: 53:[62, 87] Operation: 39+48=87\nMoving to Node #0,0\nCurrent State: 53:[28, 62, 59], Operations: ['20+39=59']\nExploring Operation: 62-28=34, Resulting Numbers: [59, 34]\nGenerated Node #0,0,0: 53:[59, 34] Operation: 62-28=34\nExploring Operation: 59-28=31, Resulting Numbers: [62, 31]\nGenerated Node #0,0,1: 53:[62, 31] Operation: 59-28=31\nMoving to Node #0,0,0\nCurrent State: 53:[59, 34], Operations: ['20+39=59', '62-28=34']\nExploring Operation: 59-34=25, Resulting Numbers: [25]\n25,53 unequal: No Solution\nExploring Operation: 59+34=93, Resulting Numbers: [93]\n93,53 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 53:[62, 31], Operations: ['20+39=59', '59-28=31']\nExploring Operation: 62-31=31, Resulting Numbers: [31]\n31,53 unequal: No Solution\nExploring Operation: 62+31=93, Resulting Numbers: [93]\n93,53 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 53:[48, 23], Operations: ['20+28=48', '62-39=23']\nExploring Operation: 48+23=71, Resulting Numbers: [71]\n71,53 unequal: No Solution\nExploring Operation: 48-23=25, Resulting Numbers: [25]\n25,53 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 53:[62, 87], Operations: ['20+28=48', '39+48=87']\nExploring Operation: 62+87=149, Resulting Numbers: [149]\n149,53 unequal: No Solution\nExploring Operation: 87-62=25, Resulting Numbers: [25]\n25,53 unequal: No Solution\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [21, 15, 78, 2] using the four basic arithmetic operations (+, -, *, /) to reach 69.",
"role": "user"
},
{
"content": "Current State: 69:[21, 15, 78, 2], Operations: []\nExploring Operation: 21*2=42, Resulting Numbers: [15, 78, 42]\nGenerated Node #0,0: 69:[15, 78, 42] Operation: 21*2=42\nMoving to Node #0,0\nCurrent State: 69:[15, 78, 42], Operations: ['21*2=42']\nExploring Operation: 15+42=57, Resulting Numbers: [78, 57]\nGenerated Node #0,0,0: 69:[78, 57] Operation: 15+42=57\nMoving to Node #0,0,0\nCurrent State: 69:[78, 57], Operations: ['21*2=42', '15+42=57']\nExploring Operation: 78-57=21, Resulting Numbers: [21]\n21,69 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 69:[78, 57], Operations: ['21*2=42', '15+42=57']\nExploring Operation: 78+57=135, Resulting Numbers: [135]\n135,69 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 69:[15, 78, 42], Operations: ['21*2=42']\nExploring Operation: 78-15=63, Resulting Numbers: [42, 63]\nGenerated Node #0,0,1: 69:[42, 63] Operation: 78-15=63\nMoving to Node #0,0,1\nCurrent State: 69:[42, 63], Operations: ['21*2=42', '78-15=63']\nExploring Operation: 42+63=105, Resulting Numbers: [105]\n105,69 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 69:[42, 63], Operations: ['21*2=42', '78-15=63']\nExploring Operation: 63-42=21, Resulting Numbers: [21]\n21,69 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 69:[15, 78, 42], Operations: ['21*2=42']\nExploring Operation: 15+78=93, Resulting Numbers: [42, 93]\nGenerated Node #0,0,2: 69:[42, 93] Operation: 15+78=93\nMoving to Node #0,0,2\nCurrent State: 69:[42, 93], Operations: ['21*2=42', '15+78=93']\nExploring Operation: 93-42=51, Resulting Numbers: [51]\n51,69 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 69:[42, 93], Operations: ['21*2=42', '15+78=93']\nExploring Operation: 42+93=135, Resulting Numbers: [135]\n135,69 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 69:[15, 78, 42], Operations: ['21*2=42']\nExploring Operation: 42-15=27, Resulting Numbers: [78, 27]\nGenerated Node #0,0,3: 69:[78, 27] Operation: 42-15=27\nMoving to Node #0,0,3\nCurrent State: 69:[78, 27], Operations: ['21*2=42', '42-15=27']\nExploring Operation: 78-27=51, Resulting Numbers: [51]\n51,69 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 69:[78, 27], Operations: ['21*2=42', '42-15=27']\nExploring Operation: 78+27=105, Resulting Numbers: [105]\n105,69 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 69:[15, 78, 42], Operations: ['21*2=42']\nExploring Operation: 78-42=36, Resulting Numbers: [15, 36]\nGenerated Node #0,0,4: 69:[15, 36] Operation: 78-42=36\nMoving to Node #0,0,4\nCurrent State: 69:[15, 36], Operations: ['21*2=42', '78-42=36']\nExploring Operation: 15+36=51, Resulting Numbers: [51]\n51,69 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 69:[15, 36], Operations: ['21*2=42', '78-42=36']\nExploring Operation: 36-15=21, Resulting Numbers: [21]\n21,69 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 69:[15, 78, 42], Operations: ['21*2=42']\nExploring Operation: 78+42=120, Resulting Numbers: [15, 120]\nGenerated Node #0,0,5: 69:[15, 120] Operation: 78+42=120\nMoving to Node #0,0,5\nCurrent State: 69:[15, 120], Operations: ['21*2=42', '78+42=120']\nExploring Operation: 120-15=105, Resulting Numbers: [105]\n105,69 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 69:[15, 120], Operations: ['21*2=42', '78+42=120']\nExploring Operation: 120/15=8, Resulting Numbers: [8]\n8,69 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 69:[15, 120], Operations: ['21*2=42', '78+42=120']\nExploring Operation: 15+120=135, Resulting Numbers: [135]\n135,69 unequal: No Solution\nMoving to Node #0\nCurrent State: 69:[21, 15, 78, 2], Operations: []\nExploring Operation: 15*2=30, Resulting Numbers: [21, 78, 30]\nGenerated Node #0,1: 69:[21, 78, 30] Operation: 15*2=30\nMoving to Node #0,1\nCurrent State: 69:[21, 78, 30], Operations: ['15*2=30']\nExploring Operation: 21+30=51, Resulting Numbers: [78, 51]\nGenerated Node #0,1,0: 69:[78, 51] Operation: 21+30=51\nMoving to Node #0,1,0\nCurrent State: 69:[78, 51], Operations: ['15*2=30', '21+30=51']\nExploring Operation: 78-51=27, Resulting Numbers: [27]\n27,69 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 69:[78, 51], Operations: ['15*2=30', '21+30=51']\nExploring Operation: 78+51=129, Resulting Numbers: [129]\n129,69 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 69:[21, 78, 30], Operations: ['15*2=30']\nExploring Operation: 78-21=57, Resulting Numbers: [30, 57]\nGenerated Node #0,1,1: 69:[30, 57] Operation: 78-21=57\nMoving to Node #0,1,1\nCurrent State: 69:[30, 57], Operations: ['15*2=30', '78-21=57']\nExploring Operation: 30+57=87, Resulting Numbers: [87]\n87,69 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 69:[30, 57], Operations: ['15*2=30', '78-21=57']\nExploring Operation: 57-30=27, Resulting Numbers: [27]\n27,69 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 69:[21, 78, 30], Operations: ['15*2=30']\nExploring Operation: 21+78=99, Resulting Numbers: [30, 99]\nGenerated Node #0,1,2: 69:[30, 99] Operation: 21+78=99\nMoving to Node #0,1,2\nCurrent State: 69:[30, 99], Operations: ['15*2=30', '21+78=99']\nExploring Operation: 99-30=69, Resulting Numbers: [69]\n69,69 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [53, 77, 95, 5] using the four basic arithmetic operations (+, -, *, /) to reach 43.",
"role": "user"
},
{
"content": "Current State: 43:[53, 77, 95, 5], Operations: []\nExploring Operation: 95/5=19, Resulting Numbers: [53, 77, 19]\nGenerated Node #0,0: 43:[53, 77, 19] Operation: 95/5=19\nExploring Operation: 53-5=48, Resulting Numbers: [77, 95, 48]\nGenerated Node #0,1: 43:[77, 95, 48] Operation: 53-5=48\nExploring Operation: 95-53=42, Resulting Numbers: [77, 5, 42]\nGenerated Node #0,2: 43:[77, 5, 42] Operation: 95-53=42\nExploring Operation: 95-77=18, Resulting Numbers: [53, 5, 18]\nGenerated Node #0,3: 43:[53, 5, 18] Operation: 95-77=18\nExploring Operation: 77-5=72, Resulting Numbers: [53, 95, 72]\nGenerated Node #0,4: 43:[53, 95, 72] Operation: 77-5=72\nMoving to Node #0,0\nCurrent State: 43:[53, 77, 19], Operations: ['95/5=19']\nExploring Operation: 53-19=34, Resulting Numbers: [77, 34]\nGenerated Node #0,0,0: 43:[77, 34] Operation: 53-19=34\nExploring Operation: 77+19=96, Resulting Numbers: [53, 96]\nGenerated Node #0,0,1: 43:[53, 96] Operation: 77+19=96\nExploring Operation: 53+19=72, Resulting Numbers: [77, 72]\nGenerated Node #0,0,2: 43:[77, 72] Operation: 53+19=72\nExploring Operation: 77-53=24, Resulting Numbers: [19, 24]\nGenerated Node #0,0,3: 43:[19, 24] Operation: 77-53=24\nExploring Operation: 77-19=58, Resulting Numbers: [53, 58]\nGenerated Node #0,0,4: 43:[53, 58] Operation: 77-19=58\nMoving to Node #0,3\nCurrent State: 43:[53, 5, 18], Operations: ['95-77=18']\nExploring Operation: 53-18=35, Resulting Numbers: [5, 35]\nGenerated Node #0,3,0: 43:[5, 35] Operation: 53-18=35\nExploring Operation: 5+18=23, Resulting Numbers: [53, 23]\nGenerated Node #0,3,1: 43:[53, 23] Operation: 5+18=23\nExploring Operation: 18-5=13, Resulting Numbers: [53, 13]\nGenerated Node #0,3,2: 43:[53, 13] Operation: 18-5=13\nExploring Operation: 53+5=58, Resulting Numbers: [18, 58]\nGenerated Node #0,3,3: 43:[18, 58] Operation: 53+5=58\nExploring Operation: 53-5=48, Resulting Numbers: [18, 48]\nGenerated Node #0,3,4: 43:[18, 48] Operation: 53-5=48\nMoving to Node #0,2\nCurrent State: 43:[77, 5, 42], Operations: ['95-53=42']\nExploring Operation: 5+42=47, Resulting Numbers: [77, 47]\nGenerated Node #0,2,0: 43:[77, 47] Operation: 5+42=47\nExploring Operation: 77-42=35, Resulting Numbers: [5, 35]\nGenerated Node #0,2,1: 43:[5, 35] Operation: 77-42=35\nExploring Operation: 42-5=37, Resulting Numbers: [77, 37]\nGenerated Node #0,2,2: 43:[77, 37] Operation: 42-5=37\nExploring Operation: 77-5=72, Resulting Numbers: [42, 72]\nGenerated Node #0,2,3: 43:[42, 72] Operation: 77-5=72\nExploring Operation: 77+5=82, Resulting Numbers: [42, 82]\nGenerated Node #0,2,4: 43:[42, 82] Operation: 77+5=82\nMoving to Node #0,1\nCurrent State: 43:[77, 95, 48], Operations: ['53-5=48']\nExploring Operation: 77+48=125, Resulting Numbers: [95, 125]\nGenerated Node #0,1,0: 43:[95, 125] Operation: 77+48=125\nExploring Operation: 77-48=29, Resulting Numbers: [95, 29]\nGenerated Node #0,1,1: 43:[95, 29] Operation: 77-48=29\nExploring Operation: 95-77=18, Resulting Numbers: [48, 18]\nGenerated Node #0,1,2: 43:[48, 18] Operation: 95-77=18\nExploring Operation: 95-48=47, Resulting Numbers: [77, 47]\nGenerated Node #0,1,3: 43:[77, 47] Operation: 95-48=47\nExploring Operation: 77+95=172, Resulting Numbers: [48, 172]\nGenerated Node #0,1,4: 43:[48, 172] Operation: 77+95=172\nMoving to Node #0,4\nCurrent State: 43:[53, 95, 72], Operations: ['77-5=72']\nExploring Operation: 95-72=23, Resulting Numbers: [53, 23]\nGenerated Node #0,4,0: 43:[53, 23] Operation: 95-72=23\nExploring Operation: 53+72=125, Resulting Numbers: [95, 125]\nGenerated Node #0,4,1: 43:[95, 125] Operation: 53+72=125\nExploring Operation: 53+95=148, Resulting Numbers: [72, 148]\nGenerated Node #0,4,2: 43:[72, 148] Operation: 53+95=148\nExploring Operation: 72-53=19, Resulting Numbers: [95, 19]\nGenerated Node #0,4,3: 43:[95, 19] Operation: 72-53=19\nExploring Operation: 95-53=42, Resulting Numbers: [72, 42]\nGenerated Node #0,4,4: 43:[72, 42] Operation: 95-53=42\nMoving to Node #0,0,4\nCurrent State: 43:[53, 58], Operations: ['95/5=19', '77-19=58']\nExploring Operation: 58-53=5, Resulting Numbers: [5]\n5,43 unequal: No Solution\nExploring Operation: 53+58=111, Resulting Numbers: [111]\n111,43 unequal: No Solution\nExploring Operation: 53*58=3074, Resulting Numbers: [3074]\n3074,43 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 43:[53, 23], Operations: ['95-77=18', '5+18=23']\nExploring Operation: 53+23=76, Resulting Numbers: [76]\n76,43 unequal: No Solution\nExploring Operation: 53*23=1219, Resulting Numbers: [1219]\n1219,43 unequal: No Solution\nExploring Operation: 53-23=30, Resulting Numbers: [30]\n30,43 unequal: No Solution\nMoving to Node #0,3,4\nCurrent State: 43:[18, 48], Operations: ['95-77=18', '53-5=48']\nExploring Operation: 18+48=66, Resulting Numbers: [66]\n66,43 unequal: No Solution\nExploring Operation: 18*48=864, Resulting Numbers: [864]\n864,43 unequal: No Solution\nExploring Operation: 48-18=30, Resulting Numbers: [30]\n30,43 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 43:[42, 72], Operations: ['95-53=42', '77-5=72']\nExploring Operation: 72-42=30, Resulting Numbers: [30]\n30,43 unequal: No Solution\nExploring Operation: 42+72=114, Resulting Numbers: [114]\n114,43 unequal: No Solution\nExploring Operation: 42*72=3024, Resulting Numbers: [3024]\n3024,43 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 43:[53, 23], Operations: ['77-5=72', '95-72=23']\nExploring Operation: 53+23=76, Resulting Numbers: [76]\n76,43 unequal: No Solution\nExploring Operation: 53-23=30, Resulting Numbers: [30]\n30,43 unequal: No Solution\nExploring Operation: 53*23=1219, Resulting Numbers: [1219]\n1219,43 unequal: No Solution\nMoving to Node #0,4,4\nCurrent State: 43:[72, 42], Operations: ['77-5=72', '95-53=42']\nExploring Operation: 72+42=114, Resulting Numbers: [114]\n114,43 unequal: No Solution\nExploring Operation: 72-42=30, Resulting Numbers: [30]\n30,43 unequal: No Solution\nExploring Operation: 72*42=3024, Resulting Numbers: [3024]\n3024,43 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 43:[48, 18], Operations: ['53-5=48', '95-77=18']\nExploring Operation: 48*18=864, Resulting Numbers: [864]\n864,43 unequal: No Solution\nExploring Operation: 48+18=66, Resulting Numbers: [66]\n66,43 unequal: No Solution\nExploring Operation: 48-18=30, Resulting Numbers: [30]\n30,43 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 43:[77, 47], Operations: ['95-53=42', '5+42=47']\nExploring Operation: 77+47=124, Resulting Numbers: [124]\n124,43 unequal: No Solution\nExploring Operation: 77-47=30, Resulting Numbers: [30]\n30,43 unequal: No Solution\nExploring Operation: 77*47=3619, Resulting Numbers: [3619]\n3619,43 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 43:[77, 47], Operations: ['53-5=48', '95-48=47']\nExploring Operation: 77*47=3619, Resulting Numbers: [3619]\n3619,43 unequal: No Solution\nExploring Operation: 77+47=124, Resulting Numbers: [124]\n124,43 unequal: No Solution\nExploring Operation: 77-47=30, Resulting Numbers: [30]\n30,43 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 43:[42, 82], Operations: ['95-53=42', '77+5=82']\nExploring Operation: 42*82=3444, Resulting Numbers: [3444]\n3444,43 unequal: No Solution\nExploring Operation: 42+82=124, Resulting Numbers: [124]\n124,43 unequal: No Solution\nExploring Operation: 82-42=40, Resulting Numbers: [40]\n40,43 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 43:[77, 37], Operations: ['95-53=42', '42-5=37']\nExploring Operation: 77-37=40, Resulting Numbers: [40]\n40,43 unequal: No Solution\nExploring Operation: 77*37=2849, Resulting Numbers: [2849]\n2849,43 unequal: No Solution\nExploring Operation: 77+37=114, Resulting Numbers: [114]\n114,43 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 43:[53, 13], Operations: ['95-77=18', '18-5=13']\nExploring Operation: 53-13=40, Resulting Numbers: [40]\n40,43 unequal: No Solution\nExploring Operation: 53+13=66, Resulting Numbers: [66]\n66,43 unequal: No Solution\nExploring Operation: 53*13=689, Resulting Numbers: [689]\n689,43 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 43:[18, 58], Operations: ['95-77=18', '53+5=58']\nExploring Operation: 18+58=76, Resulting Numbers: [76]\n76,43 unequal: No Solution\nExploring Operation: 18*58=1044, Resulting Numbers: [1044]\n1044,43 unequal: No Solution\nExploring Operation: 58-18=40, Resulting Numbers: [40]\n40,43 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 43:[19, 24], Operations: ['95/5=19', '77-53=24']\nExploring Operation: 19+24=43, Resulting Numbers: [43]\n43,43 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [66, 39, 72, 89] using the four basic arithmetic operations (+, -, *, /) to reach 56.",
"role": "user"
},
{
"content": "Current State: 56:[66, 39, 72, 89], Operations: []\nExploring Operation: 89-72=17, Resulting Numbers: [66, 39, 17]\nGenerated Node #0,0: 56:[66, 39, 17] Operation: 89-72=17\nMoving to Node #0,0\nCurrent State: 56:[66, 39, 17], Operations: ['89-72=17']\nExploring Operation: 66-39=27, Resulting Numbers: [17, 27]\nGenerated Node #0,0,0: 56:[17, 27] Operation: 66-39=27\nMoving to Node #0,0,0\nCurrent State: 56:[17, 27], Operations: ['89-72=17', '66-39=27']\nExploring Operation: 27-17=10, Resulting Numbers: [10]\n10,56 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 56:[17, 27], Operations: ['89-72=17', '66-39=27']\nExploring Operation: 17+27=44, Resulting Numbers: [44]\n44,56 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 56:[66, 39, 17], Operations: ['89-72=17']\nExploring Operation: 39+17=56, Resulting Numbers: [66, 56]\nGenerated Node #0,0,1: 56:[66, 56] Operation: 39+17=56\nMoving to Node #0,0,1\nCurrent State: 56:[66, 56], Operations: ['89-72=17', '39+17=56']\nExploring Operation: 66-56=10, Resulting Numbers: [10]\n10,56 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 56:[66, 39, 17], Operations: ['89-72=17']\nExploring Operation: 39-17=22, Resulting Numbers: [66, 22]\nGenerated Node #0,0,2: 56:[66, 22] Operation: 39-17=22\nMoving to Node #0,0,2\nCurrent State: 56:[66, 22], Operations: ['89-72=17', '39-17=22']\nExploring Operation: 66/22=3, Resulting Numbers: [3]\n3,56 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 56:[66, 22], Operations: ['89-72=17', '39-17=22']\nExploring Operation: 66-22=44, Resulting Numbers: [44]\n44,56 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 56:[66, 22], Operations: ['89-72=17', '39-17=22']\nExploring Operation: 66+22=88, Resulting Numbers: [88]\n88,56 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 56:[66, 39, 17], Operations: ['89-72=17']\nExploring Operation: 66-17=49, Resulting Numbers: [39, 49]\nGenerated Node #0,0,3: 56:[39, 49] Operation: 66-17=49\nMoving to Node #0,0,3\nCurrent State: 56:[39, 49], Operations: ['89-72=17', '66-17=49']\nExploring Operation: 49-39=10, Resulting Numbers: [10]\n10,56 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 56:[39, 49], Operations: ['89-72=17', '66-17=49']\nExploring Operation: 39+49=88, Resulting Numbers: [88]\n88,56 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 56:[66, 39, 17], Operations: ['89-72=17']\nExploring Operation: 66+17=83, Resulting Numbers: [39, 83]\nGenerated Node #0,0,4: 56:[39, 83] Operation: 66+17=83\nMoving to Node #0,0,4\nCurrent State: 56:[39, 83], Operations: ['89-72=17', '66+17=83']\nExploring Operation: 83-39=44, Resulting Numbers: [44]\n44,56 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 56:[66, 39, 17], Operations: ['89-72=17']\nExploring Operation: 66+39=105, Resulting Numbers: [17, 105]\nGenerated Node #0,0,5: 56:[17, 105] Operation: 66+39=105\nMoving to Node #0,0,5\nCurrent State: 56:[17, 105], Operations: ['89-72=17', '66+39=105']\nExploring Operation: 105-17=88, Resulting Numbers: [88]\n88,56 unequal: No Solution\nMoving to Node #0\nCurrent State: 56:[66, 39, 72, 89], Operations: []\nExploring Operation: 89-66=23, Resulting Numbers: [39, 72, 23]\nGenerated Node #0,1: 56:[39, 72, 23] Operation: 89-66=23\nMoving to Node #0,1\nCurrent State: 56:[39, 72, 23], Operations: ['89-66=23']\nExploring Operation: 72-39=33, Resulting Numbers: [23, 33]\nGenerated Node #0,1,0: 56:[23, 33] Operation: 72-39=33\nMoving to Node #0,1,0\nCurrent State: 56:[23, 33], Operations: ['89-66=23', '72-39=33']\nExploring Operation: 23+33=56, Resulting Numbers: [56]\n56,56 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [97, 99, 24, 87] using the four basic arithmetic operations (+, -, *, /) to reach 75.",
"role": "user"
},
{
"content": "Current State: 75:[97, 99, 24, 87], Operations: []\nExploring Operation: 99-24=75, Resulting Numbers: [97, 87, 75]\nGenerated Node #0,0: 75:[97, 87, 75] Operation: 99-24=75\nMoving to Node #0,0\nCurrent State: 75:[97, 87, 75], Operations: ['99-24=75']\nExploring Operation: 97-87=10, Resulting Numbers: [75, 10]\nGenerated Node #0,0,0: 75:[75, 10] Operation: 97-87=10\nMoving to Node #0,0,0\nCurrent State: 75:[75, 10], Operations: ['99-24=75', '97-87=10']\nExploring Operation: 75+10=85, Resulting Numbers: [85]\n85,75 unequal: No Solution\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [28, 7, 7, 21] using the four basic arithmetic operations (+, -, *, /) to reach 48.",
"role": "user"
},
{
"content": "Current State: 48:[28, 7, 7, 21], Operations: []\nExploring Operation: 28+7=35, Resulting Numbers: [7, 21, 35]\nGenerated Node #0,0: 48:[7, 21, 35] Operation: 28+7=35\nExploring Operation: 28+7=35, Resulting Numbers: [7, 21, 35]\nGenerated Node #0,1: 48:[7, 21, 35] Operation: 28+7=35\nExploring Operation: 7+7=14, Resulting Numbers: [28, 21, 14]\nGenerated Node #0,2: 48:[28, 21, 14] Operation: 7+7=14\nExploring Operation: 7*7=49, Resulting Numbers: [28, 21, 49]\nGenerated Node #0,3: 48:[28, 21, 49] Operation: 7*7=49\nMoving to Node #0,3\nCurrent State: 48:[28, 21, 49], Operations: ['7*7=49']\nExploring Operation: 28+21=49, Resulting Numbers: [49, 49]\nGenerated Node #0,3,0: 48:[49, 49] Operation: 28+21=49\nExploring Operation: 28-21=7, Resulting Numbers: [49, 7]\nGenerated Node #0,3,1: 48:[49, 7] Operation: 28-21=7\nExploring Operation: 49-21=28, Resulting Numbers: [28, 28]\nGenerated Node #0,3,2: 48:[28, 28] Operation: 49-21=28\nExploring Operation: 21+49=70, Resulting Numbers: [28, 70]\nGenerated Node #0,3,3: 48:[28, 70] Operation: 21+49=70\nMoving to Node #0,1\nCurrent State: 48:[7, 21, 35], Operations: ['28+7=35']\nExploring Operation: 7+21=28, Resulting Numbers: [35, 28]\nGenerated Node #0,1,0: 48:[35, 28] Operation: 7+21=28\nExploring Operation: 35-7=28, Resulting Numbers: [21, 28]\nGenerated Node #0,1,1: 48:[21, 28] Operation: 35-7=28\nExploring Operation: 7+35=42, Resulting Numbers: [21, 42]\nGenerated Node #0,1,2: 48:[21, 42] Operation: 7+35=42\nExploring Operation: 21-7=14, Resulting Numbers: [35, 14]\nGenerated Node #0,1,3: 48:[35, 14] Operation: 21-7=14\nMoving to Node #0,0\nCurrent State: 48:[7, 21, 35], Operations: ['28+7=35']\nExploring Operation: 7+35=42, Resulting Numbers: [21, 42]\nGenerated Node #0,0,0: 48:[21, 42] Operation: 7+35=42\nExploring Operation: 21-7=14, Resulting Numbers: [35, 14]\nGenerated Node #0,0,1: 48:[35, 14] Operation: 21-7=14\nExploring Operation: 7+21=28, Resulting Numbers: [35, 28]\nGenerated Node #0,0,2: 48:[35, 28] Operation: 7+21=28\nExploring Operation: 35-7=28, Resulting Numbers: [21, 28]\nGenerated Node #0,0,3: 48:[21, 28] Operation: 35-7=28\nMoving to Node #0,2\nCurrent State: 48:[28, 21, 14], Operations: ['7+7=14']\nExploring Operation: 28+21=49, Resulting Numbers: [14, 49]\nGenerated Node #0,2,0: 48:[14, 49] Operation: 28+21=49\nExploring Operation: 28-14=14, Resulting Numbers: [21, 14]\nGenerated Node #0,2,1: 48:[21, 14] Operation: 28-14=14\nExploring Operation: 28+14=42, Resulting Numbers: [21, 42]\nGenerated Node #0,2,2: 48:[21, 42] Operation: 28+14=42\nExploring Operation: 21+14=35, Resulting Numbers: [28, 35]\nGenerated Node #0,2,3: 48:[28, 35] Operation: 21+14=35\nMoving to Node #0,3,0\nCurrent State: 48:[49, 49], Operations: ['7*7=49', '28+21=49']\nExploring Operation: 49+49=98, Resulting Numbers: [98]\n98,48 unequal: No Solution\nExploring Operation: 49/49=1, Resulting Numbers: [1]\n1,48 unequal: No Solution\nExploring Operation: 49*49=2401, Resulting Numbers: [2401]\n2401,48 unequal: No Solution\nExploring Operation: 49-49=0, Resulting Numbers: [0]\n0,48 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 48:[21, 42], Operations: ['28+7=35', '7+35=42']\nExploring Operation: 42-21=21, Resulting Numbers: [21]\n21,48 unequal: No Solution\nExploring Operation: 21+42=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nExploring Operation: 21*42=882, Resulting Numbers: [882]\n882,48 unequal: No Solution\nExploring Operation: 42/21=2, Resulting Numbers: [2]\n2,48 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 48:[28, 35], Operations: ['7+7=14', '21+14=35']\nExploring Operation: 28+35=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nExploring Operation: 35-28=7, Resulting Numbers: [7]\n7,48 unequal: No Solution\nExploring Operation: 28*35=980, Resulting Numbers: [980]\n980,48 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 48:[21, 42], Operations: ['7+7=14', '28+14=42']\nExploring Operation: 42/21=2, Resulting Numbers: [2]\n2,48 unequal: No Solution\nExploring Operation: 21+42=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nExploring Operation: 42-21=21, Resulting Numbers: [21]\n21,48 unequal: No Solution\nExploring Operation: 21*42=882, Resulting Numbers: [882]\n882,48 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 48:[35, 28], Operations: ['28+7=35', '7+21=28']\nExploring Operation: 35-28=7, Resulting Numbers: [7]\n7,48 unequal: No Solution\nExploring Operation: 35*28=980, Resulting Numbers: [980]\n980,48 unequal: No Solution\nExploring Operation: 35+28=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 48:[35, 28], Operations: ['28+7=35', '7+21=28']\nExploring Operation: 35*28=980, Resulting Numbers: [980]\n980,48 unequal: No Solution\nExploring Operation: 35+28=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nExploring Operation: 35-28=7, Resulting Numbers: [7]\n7,48 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 48:[21, 42], Operations: ['28+7=35', '7+35=42']\nExploring Operation: 21*42=882, Resulting Numbers: [882]\n882,48 unequal: No Solution\nExploring Operation: 42/21=2, Resulting Numbers: [2]\n2,48 unequal: No Solution\nExploring Operation: 21+42=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nExploring Operation: 42-21=21, Resulting Numbers: [21]\n21,48 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 48:[14, 49], Operations: ['7+7=14', '28+21=49']\nExploring Operation: 14+49=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nExploring Operation: 14*49=686, Resulting Numbers: [686]\n686,48 unequal: No Solution\nExploring Operation: 49-14=35, Resulting Numbers: [35]\n35,48 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 48:[28, 28], Operations: ['7*7=49', '49-21=28']\nExploring Operation: 28+28=56, Resulting Numbers: [56]\n56,48 unequal: No Solution\nExploring Operation: 28/28=1, Resulting Numbers: [1]\n1,48 unequal: No Solution\nExploring Operation: 28*28=784, Resulting Numbers: [784]\n784,48 unequal: No Solution\nExploring Operation: 28-28=0, Resulting Numbers: [0]\n0,48 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 48:[49, 7], Operations: ['7*7=49', '28-21=7']\nExploring Operation: 49/7=7, Resulting Numbers: [7]\n7,48 unequal: No Solution\nExploring Operation: 49+7=56, Resulting Numbers: [56]\n56,48 unequal: No Solution\nExploring Operation: 49-7=42, Resulting Numbers: [42]\n42,48 unequal: No Solution\nExploring Operation: 49*7=343, Resulting Numbers: [343]\n343,48 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 48:[28, 70], Operations: ['7*7=49', '21+49=70']\nExploring Operation: 70-28=42, Resulting Numbers: [42]\n42,48 unequal: No Solution\nExploring Operation: 28+70=98, Resulting Numbers: [98]\n98,48 unequal: No Solution\nExploring Operation: 28*70=1960, Resulting Numbers: [1960]\n1960,48 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 48:[21, 28], Operations: ['28+7=35', '35-7=28']\nExploring Operation: 28-21=7, Resulting Numbers: [7]\n7,48 unequal: No Solution\nExploring Operation: 21*28=588, Resulting Numbers: [588]\n588,48 unequal: No Solution\nExploring Operation: 21+28=49, Resulting Numbers: [49]\n49,48 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 48:[35, 14], Operations: ['28+7=35', '21-7=14']\nExploring Operation: 35+14=49, Resulting Numbers: [49]\n49,48 unequal: No Solution\nExploring Operation: 35*14=490, Resulting Numbers: [490]\n490,48 unequal: No Solution\nExploring Operation: 35-14=21, Resulting Numbers: [21]\n21,48 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 48:[35, 14], Operations: ['28+7=35', '21-7=14']\nExploring Operation: 35+14=49, Resulting Numbers: [49]\n49,48 unequal: No Solution\nExploring Operation: 35*14=490, Resulting Numbers: [490]\n490,48 unequal: No Solution\nExploring Operation: 35-14=21, Resulting Numbers: [21]\n21,48 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 48:[21, 28], Operations: ['28+7=35', '35-7=28']\nExploring Operation: 21*28=588, Resulting Numbers: [588]\n588,48 unequal: No Solution\nExploring Operation: 28-21=7, Resulting Numbers: [7]\n7,48 unequal: No Solution\nExploring Operation: 21+28=49, Resulting Numbers: [49]\n49,48 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 48:[21, 14], Operations: ['7+7=14', '28-14=14']\nExploring Operation: 21-14=7, Resulting Numbers: [7]\n7,48 unequal: No Solution\nExploring Operation: 21+14=35, Resulting Numbers: [35]\n35,48 unequal: No Solution\nExploring Operation: 21*14=294, Resulting Numbers: [294]\n294,48 unequal: No Solution\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [91, 7, 78, 20] using the four basic arithmetic operations (+, -, *, /) to reach 85.",
"role": "user"
},
{
"content": "Current State: 85:[91, 7, 78, 20], Operations: []\nExploring Operation: 91+7=98, Resulting Numbers: [78, 20, 98]\nGenerated Node #0,0: 85:[78, 20, 98] Operation: 91+7=98\nExploring Operation: 91-7=84, Resulting Numbers: [78, 20, 84]\nGenerated Node #0,1: 85:[78, 20, 84] Operation: 91-7=84\nExploring Operation: 7+78=85, Resulting Numbers: [91, 20, 85]\nGenerated Node #0,2: 85:[91, 20, 85] Operation: 7+78=85\nExploring Operation: 7+20=27, Resulting Numbers: [91, 78, 27]\nGenerated Node #0,3: 85:[91, 78, 27] Operation: 7+20=27\nExploring Operation: 7*20=140, Resulting Numbers: [91, 78, 140]\nGenerated Node #0,4: 85:[91, 78, 140] Operation: 7*20=140\nMoving to Node #0,4\nCurrent State: 85:[91, 78, 140], Operations: ['7*20=140']\nExploring Operation: 91-78=13, Resulting Numbers: [140, 13]\nGenerated Node #0,4,0: 85:[140, 13] Operation: 91-78=13\nExploring Operation: 140-78=62, Resulting Numbers: [91, 62]\nGenerated Node #0,4,1: 85:[91, 62] Operation: 140-78=62\nExploring Operation: 78+140=218, Resulting Numbers: [91, 218]\nGenerated Node #0,4,2: 85:[91, 218] Operation: 78+140=218\nExploring Operation: 91+78=169, Resulting Numbers: [140, 169]\nGenerated Node #0,4,3: 85:[140, 169] Operation: 91+78=169\nExploring Operation: 140-91=49, Resulting Numbers: [78, 49]\nGenerated Node #0,4,4: 85:[78, 49] Operation: 140-91=49\nMoving to Node #0,3\nCurrent State: 85:[91, 78, 27], Operations: ['7+20=27']\nExploring Operation: 78-27=51, Resulting Numbers: [91, 51]\nGenerated Node #0,3,0: 85:[91, 51] Operation: 78-27=51\nExploring Operation: 78+27=105, Resulting Numbers: [91, 105]\nGenerated Node #0,3,1: 85:[91, 105] Operation: 78+27=105\nExploring Operation: 91-78=13, Resulting Numbers: [27, 13]\nGenerated Node #0,3,2: 85:[27, 13] Operation: 91-78=13\nExploring Operation: 91+27=118, Resulting Numbers: [78, 118]\nGenerated Node #0,3,3: 85:[78, 118] Operation: 91+27=118\nExploring Operation: 91-27=64, Resulting Numbers: [78, 64]\nGenerated Node #0,3,4: 85:[78, 64] Operation: 91-27=64\nMoving to Node #0,2\nCurrent State: 85:[91, 20, 85], Operations: ['7+78=85']\nExploring Operation: 91-85=6, Resulting Numbers: [20, 6]\nGenerated Node #0,2,0: 85:[20, 6] Operation: 91-85=6\nExploring Operation: 91+20=111, Resulting Numbers: [85, 111]\nGenerated Node #0,2,1: 85:[85, 111] Operation: 91+20=111\nExploring Operation: 85-20=65, Resulting Numbers: [91, 65]\nGenerated Node #0,2,2: 85:[91, 65] Operation: 85-20=65\nExploring Operation: 20+85=105, Resulting Numbers: [91, 105]\nGenerated Node #0,2,3: 85:[91, 105] Operation: 20+85=105\nExploring Operation: 91-20=71, Resulting Numbers: [85, 71]\nGenerated Node #0,2,4: 85:[85, 71] Operation: 91-20=71\nMoving to Node #0,1\nCurrent State: 85:[78, 20, 84], Operations: ['91-7=84']\nExploring Operation: 78-20=58, Resulting Numbers: [84, 58]\nGenerated Node #0,1,0: 85:[84, 58] Operation: 78-20=58\nExploring Operation: 78+84=162, Resulting Numbers: [20, 162]\nGenerated Node #0,1,1: 85:[20, 162] Operation: 78+84=162\nExploring Operation: 84-20=64, Resulting Numbers: [78, 64]\nGenerated Node #0,1,2: 85:[78, 64] Operation: 84-20=64\nExploring Operation: 20+84=104, Resulting Numbers: [78, 104]\nGenerated Node #0,1,3: 85:[78, 104] Operation: 20+84=104\nExploring Operation: 78+20=98, Resulting Numbers: [84, 98]\nGenerated Node #0,1,4: 85:[84, 98] Operation: 78+20=98\nMoving to Node #0,0\nCurrent State: 85:[78, 20, 98], Operations: ['91+7=98']\nExploring Operation: 78-20=58, Resulting Numbers: [98, 58]\nGenerated Node #0,0,0: 85:[98, 58] Operation: 78-20=58\nExploring Operation: 98-78=20, Resulting Numbers: [20, 20]\nGenerated Node #0,0,1: 85:[20, 20] Operation: 98-78=20\nExploring Operation: 78+20=98, Resulting Numbers: [98, 98]\nGenerated Node #0,0,2: 85:[98, 98] Operation: 78+20=98\nExploring Operation: 98-20=78, Resulting Numbers: [78, 78]\nGenerated Node #0,0,3: 85:[78, 78] Operation: 98-20=78\nExploring Operation: 20+98=118, Resulting Numbers: [78, 118]\nGenerated Node #0,0,4: 85:[78, 118] Operation: 20+98=118\nMoving to Node #0,2,4\nCurrent State: 85:[85, 71], Operations: ['7+78=85', '91-20=71']\nExploring Operation: 85-71=14, Resulting Numbers: [14]\n14,85 unequal: No Solution\nExploring Operation: 85+71=156, Resulting Numbers: [156]\n156,85 unequal: No Solution\nExploring Operation: 85*71=6035, Resulting Numbers: [6035]\n6035,85 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 85:[84, 98], Operations: ['91-7=84', '78+20=98']\nExploring Operation: 84+98=182, Resulting Numbers: [182]\n182,85 unequal: No Solution\nExploring Operation: 84*98=8232, Resulting Numbers: [8232]\n8232,85 unequal: No Solution\nExploring Operation: 98-84=14, Resulting Numbers: [14]\n14,85 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 85:[78, 78], Operations: ['91+7=98', '98-20=78']\nExploring Operation: 78/78=1, Resulting Numbers: [1]\n1,85 unequal: No Solution\nExploring Operation: 78-78=0, Resulting Numbers: [0]\n0,85 unequal: No Solution\nExploring Operation: 78*78=6084, Resulting Numbers: [6084]\n6084,85 unequal: No Solution\nExploring Operation: 78+78=156, Resulting Numbers: [156]\n156,85 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 85:[85, 111], Operations: ['7+78=85', '91+20=111']\nExploring Operation: 85*111=9435, Resulting Numbers: [9435]\n9435,85 unequal: No Solution\nExploring Operation: 85+111=196, Resulting Numbers: [196]\n196,85 unequal: No Solution\nExploring Operation: 111-85=26, Resulting Numbers: [26]\n26,85 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 85:[91, 105], Operations: ['7+78=85', '20+85=105']\nExploring Operation: 105-91=14, Resulting Numbers: [14]\n14,85 unequal: No Solution\nExploring Operation: 91+105=196, Resulting Numbers: [196]\n196,85 unequal: No Solution\nExploring Operation: 91*105=9555, Resulting Numbers: [9555]\n9555,85 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 85:[91, 65], Operations: ['7+78=85', '85-20=65']\nExploring Operation: 91+65=156, Resulting Numbers: [156]\n156,85 unequal: No Solution\nExploring Operation: 91*65=5915, Resulting Numbers: [5915]\n5915,85 unequal: No Solution\nExploring Operation: 91-65=26, Resulting Numbers: [26]\n26,85 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 85:[98, 98], Operations: ['91+7=98', '78+20=98']\nExploring Operation: 98-98=0, Resulting Numbers: [0]\n0,85 unequal: No Solution\nExploring Operation: 98/98=1, Resulting Numbers: [1]\n1,85 unequal: No Solution\nExploring Operation: 98*98=9604, Resulting Numbers: [9604]\n9604,85 unequal: No Solution\nExploring Operation: 98+98=196, Resulting Numbers: [196]\n196,85 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 85:[91, 105], Operations: ['7+20=27', '78+27=105']\nExploring Operation: 91+105=196, Resulting Numbers: [196]\n196,85 unequal: No Solution\nExploring Operation: 105-91=14, Resulting Numbers: [14]\n14,85 unequal: No Solution\nExploring Operation: 91*105=9555, Resulting Numbers: [9555]\n9555,85 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 85:[78, 104], Operations: ['91-7=84', '20+84=104']\nExploring Operation: 78+104=182, Resulting Numbers: [182]\n182,85 unequal: No Solution\nExploring Operation: 104-78=26, Resulting Numbers: [26]\n26,85 unequal: No Solution\nExploring Operation: 78*104=8112, Resulting Numbers: [8112]\n8112,85 unequal: No Solution\nMoving to Node #0,3,4\nCurrent State: 85:[78, 64], Operations: ['7+20=27', '91-27=64']\nExploring Operation: 78-64=14, Resulting Numbers: [14]\n14,85 unequal: No Solution\nExploring Operation: 78+64=142, Resulting Numbers: [142]\n142,85 unequal: No Solution\nExploring Operation: 78*64=4992, Resulting Numbers: [4992]\n4992,85 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 85:[84, 58], Operations: ['91-7=84', '78-20=58']\nExploring Operation: 84-58=26, Resulting Numbers: [26]\n26,85 unequal: No Solution\nExploring Operation: 84*58=4872, Resulting Numbers: [4872]\n4872,85 unequal: No Solution\nExploring Operation: 84+58=142, Resulting Numbers: [142]\n142,85 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 85:[78, 64], Operations: ['91-7=84', '84-20=64']\nExploring Operation: 78*64=4992, Resulting Numbers: [4992]\n4992,85 unequal: No Solution\nExploring Operation: 78+64=142, Resulting Numbers: [142]\n142,85 unequal: No Solution\nExploring Operation: 78-64=14, Resulting Numbers: [14]\n14,85 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 85:[91, 62], Operations: ['7*20=140', '140-78=62']\nExploring Operation: 91*62=5642, Resulting Numbers: [5642]\n5642,85 unequal: No Solution\nExploring Operation: 91+62=153, Resulting Numbers: [153]\n153,85 unequal: No Solution\nExploring Operation: 91-62=29, Resulting Numbers: [29]\n29,85 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 85:[78, 118], Operations: ['91+7=98', '20+98=118']\nExploring Operation: 118-78=40, Resulting Numbers: [40]\n40,85 unequal: No Solution\nExploring Operation: 78+118=196, Resulting Numbers: [196]\n196,85 unequal: No Solution\nExploring Operation: 78*118=9204, Resulting Numbers: [9204]\n9204,85 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 85:[98, 58], Operations: ['91+7=98', '78-20=58']\nExploring Operation: 98-58=40, Resulting Numbers: [40]\n40,85 unequal: No Solution\nExploring Operation: 98+58=156, Resulting Numbers: [156]\n156,85 unequal: No Solution\nExploring Operation: 98*58=5684, Resulting Numbers: [5684]\n5684,85 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 85:[91, 51], Operations: ['7+20=27', '78-27=51']\nExploring Operation: 91+51=142, Resulting Numbers: [142]\n142,85 unequal: No Solution\nExploring Operation: 91*51=4641, Resulting Numbers: [4641]\n4641,85 unequal: No Solution\nExploring Operation: 91-51=40, Resulting Numbers: [40]\n40,85 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 85:[78, 118], Operations: ['7+20=27', '91+27=118']\nExploring Operation: 78+118=196, Resulting Numbers: [196]\n196,85 unequal: No Solution\nExploring Operation: 118-78=40, Resulting Numbers: [40]\n40,85 unequal: No Solution\nExploring Operation: 78*118=9204, Resulting Numbers: [9204]\n9204,85 unequal: No Solution\nMoving to Node #0,4,4\nCurrent State: 85:[78, 49], Operations: ['7*20=140', '140-91=49']\nExploring Operation: 78-49=29, Resulting Numbers: [29]\n29,85 unequal: No Solution\nExploring Operation: 78+49=127, Resulting Numbers: [127]\n127,85 unequal: No Solution\nExploring Operation: 78*49=3822, Resulting Numbers: [3822]\n3822,85 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 85:[140, 13], Operations: ['7*20=140', '91-78=13']\nExploring Operation: 140+13=153, Resulting Numbers: [153]\n153,85 unequal: No Solution\nExploring Operation: 140*13=1820, Resulting Numbers: [1820]\n1820,85 unequal: No Solution\nExploring Operation: 140-13=127, Resulting Numbers: [127]\n127,85 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 85:[20, 20], Operations: ['91+7=98', '98-78=20']\nExploring Operation: 20+20=40, Resulting Numbers: [40]\n40,85 unequal: No Solution\nExploring Operation: 20/20=1, Resulting Numbers: [1]\n1,85 unequal: No Solution\nExploring Operation: 20*20=400, Resulting Numbers: [400]\n400,85 unequal: No Solution\nExploring Operation: 20-20=0, Resulting Numbers: [0]\n0,85 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 85:[27, 13], Operations: ['7+20=27', '91-78=13']\nExploring Operation: 27+13=40, Resulting Numbers: [40]\n40,85 unequal: No Solution\nExploring Operation: 27*13=351, Resulting Numbers: [351]\n351,85 unequal: No Solution\nExploring Operation: 27-13=14, Resulting Numbers: [14]\n14,85 unequal: No Solution\nMoving to Node #0,4,3\nCurrent State: 85:[140, 169], Operations: ['7*20=140', '91+78=169']\nExploring Operation: 140*169=23660, Resulting Numbers: [23660]\n23660,85 unequal: No Solution\nExploring Operation: 140+169=309, Resulting Numbers: [309]\n309,85 unequal: No Solution\nExploring Operation: 169-140=29, Resulting Numbers: [29]\n29,85 unequal: No Solution\nMoving to Node #0,4,2\nCurrent State: 85:[91, 218], Operations: ['7*20=140', '78+140=218']\nExploring Operation: 218-91=127, Resulting Numbers: [127]\n127,85 unequal: No Solution\nExploring Operation: 91+218=309, Resulting Numbers: [309]\n309,85 unequal: No Solution\nExploring Operation: 91*218=19838, Resulting Numbers: [19838]\n19838,85 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 85:[20, 162], Operations: ['91-7=84', '78+84=162']\nExploring Operation: 20*162=3240, Resulting Numbers: [3240]\n3240,85 unequal: No Solution\nExploring Operation: 20+162=182, Resulting Numbers: [182]\n182,85 unequal: No Solution\nExploring Operation: 162-20=142, Resulting Numbers: [142]\n142,85 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 85:[20, 6], Operations: ['7+78=85', '91-85=6']\nExploring Operation: 20-6=14, Resulting Numbers: [14]\n14,85 unequal: No Solution\nExploring Operation: 20+6=26, Resulting Numbers: [26]\n26,85 unequal: No Solution\nExploring Operation: 20*6=120, Resulting Numbers: [120]\n120,85 unequal: No Solution\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [12, 44, 6, 13] using the four basic arithmetic operations (+, -, *, /) to reach 18.",
"role": "user"
},
{
"content": "Current State: 18:[12, 44, 6, 13], Operations: []\nExploring Operation: 44-12=32, Resulting Numbers: [6, 13, 32]\nGenerated Node #0,0: 18:[6, 13, 32] Operation: 44-12=32\nMoving to Node #0,0\nCurrent State: 18:[6, 13, 32], Operations: ['44-12=32']\nExploring Operation: 32-6=26, Resulting Numbers: [13, 26]\nGenerated Node #0,0,0: 18:[13, 26] Operation: 32-6=26\nMoving to Node #0,0,0\nCurrent State: 18:[13, 26], Operations: ['44-12=32', '32-6=26']\nExploring Operation: 26-13=13, Resulting Numbers: [13]\n13,18 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 18:[13, 26], Operations: ['44-12=32', '32-6=26']\nExploring Operation: 26/13=2, Resulting Numbers: [2]\n2,18 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 18:[6, 13, 32], Operations: ['44-12=32']\nExploring Operation: 32-13=19, Resulting Numbers: [6, 19]\nGenerated Node #0,0,1: 18:[6, 19] Operation: 32-13=19\nMoving to Node #0,0,1\nCurrent State: 18:[6, 19], Operations: ['44-12=32', '32-13=19']\nExploring Operation: 19-6=13, Resulting Numbers: [13]\n13,18 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 18:[6, 19], Operations: ['44-12=32', '32-13=19']\nExploring Operation: 6+19=25, Resulting Numbers: [25]\n25,18 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 18:[6, 13, 32], Operations: ['44-12=32']\nExploring Operation: 6+13=19, Resulting Numbers: [32, 19]\nGenerated Node #0,0,2: 18:[32, 19] Operation: 6+13=19\nMoving to Node #0,0,2\nCurrent State: 18:[32, 19], Operations: ['44-12=32', '6+13=19']\nExploring Operation: 32-19=13, Resulting Numbers: [13]\n13,18 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 18:[6, 13, 32], Operations: ['44-12=32']\nExploring Operation: 13-6=7, Resulting Numbers: [32, 7]\nGenerated Node #0,0,3: 18:[32, 7] Operation: 13-6=7\nMoving to Node #0,0,3\nCurrent State: 18:[32, 7], Operations: ['44-12=32', '13-6=7']\nExploring Operation: 32-7=25, Resulting Numbers: [25]\n25,18 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 18:[6, 13, 32], Operations: ['44-12=32']\nExploring Operation: 6+32=38, Resulting Numbers: [13, 38]\nGenerated Node #0,0,4: 18:[13, 38] Operation: 6+32=38\nMoving to Node #0,0,4\nCurrent State: 18:[13, 38], Operations: ['44-12=32', '6+32=38']\nExploring Operation: 38-13=25, Resulting Numbers: [25]\n25,18 unequal: No Solution\nMoving to Node #0\nCurrent State: 18:[12, 44, 6, 13], Operations: []\nExploring Operation: 12+6=18, Resulting Numbers: [44, 13, 18]\nGenerated Node #0,1: 18:[44, 13, 18] Operation: 12+6=18\nMoving to Node #0,1\nCurrent State: 18:[44, 13, 18], Operations: ['12+6=18']\nExploring Operation: 44-13=31, Resulting Numbers: [18, 31]\nGenerated Node #0,1,0: 18:[18, 31] Operation: 44-13=31\nMoving to Node #0,1,0\nCurrent State: 18:[18, 31], Operations: ['12+6=18', '44-13=31']\nExploring Operation: 31-18=13, Resulting Numbers: [13]\n13,18 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 18:[44, 13, 18], Operations: ['12+6=18']\nExploring Operation: 44-18=26, Resulting Numbers: [13, 26]\nGenerated Node #0,1,1: 18:[13, 26] Operation: 44-18=26\nMoving to Node #0,1,1\nCurrent State: 18:[13, 26], Operations: ['12+6=18', '44-18=26']\nExploring Operation: 26-13=13, Resulting Numbers: [13]\n13,18 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 18:[13, 26], Operations: ['12+6=18', '44-18=26']\nExploring Operation: 26/13=2, Resulting Numbers: [2]\n2,18 unequal: No Solution\nMoving to Node #0\nCurrent State: 18:[12, 44, 6, 13], Operations: []\nExploring Operation: 44-6=38, Resulting Numbers: [12, 13, 38]\nGenerated Node #0,2: 18:[12, 13, 38] Operation: 44-6=38\nMoving to Node #0,2\nCurrent State: 18:[12, 13, 38], Operations: ['44-6=38']\nExploring Operation: 38-12=26, Resulting Numbers: [13, 26]\nGenerated Node #0,2,0: 18:[13, 26] Operation: 38-12=26\nMoving to Node #0,2,0\nCurrent State: 18:[13, 26], Operations: ['44-6=38', '38-12=26']\nExploring Operation: 26-13=13, Resulting Numbers: [13]\n13,18 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 18:[13, 26], Operations: ['44-6=38', '38-12=26']\nExploring Operation: 26/13=2, Resulting Numbers: [2]\n2,18 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 18:[12, 13, 38], Operations: ['44-6=38']\nExploring Operation: 38-13=25, Resulting Numbers: [12, 25]\nGenerated Node #0,2,1: 18:[12, 25] Operation: 38-13=25\nMoving to Node #0,2,1\nCurrent State: 18:[12, 25], Operations: ['44-6=38', '38-13=25']\nExploring Operation: 25-12=13, Resulting Numbers: [13]\n13,18 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 18:[12, 13, 38], Operations: ['44-6=38']\nExploring Operation: 12+13=25, Resulting Numbers: [38, 25]\nGenerated Node #0,2,2: 18:[38, 25] Operation: 12+13=25\nMoving to Node #0,2,2\nCurrent State: 18:[38, 25], Operations: ['44-6=38', '12+13=25']\nExploring Operation: 38-25=13, Resulting Numbers: [13]\n13,18 unequal: No Solution\nMoving to Node #0\nCurrent State: 18:[12, 44, 6, 13], Operations: []\nExploring Operation: 44-13=31, Resulting Numbers: [12, 6, 31]\nGenerated Node #0,3: 18:[12, 6, 31] Operation: 44-13=31\nMoving to Node #0,3\nCurrent State: 18:[12, 6, 31], Operations: ['44-13=31']\nExploring Operation: 12+6=18, Resulting Numbers: [31, 18]\nGenerated Node #0,3,0: 18:[31, 18] Operation: 12+6=18\nMoving to Node #0,3,0\nCurrent State: 18:[31, 18], Operations: ['44-13=31', '12+6=18']\nExploring Operation: 31-18=13, Resulting Numbers: [13]\n13,18 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 18:[12, 6, 31], Operations: ['44-13=31']\nExploring Operation: 31-12=19, Resulting Numbers: [6, 19]\nGenerated Node #0,3,1: 18:[6, 19] Operation: 31-12=19\nMoving to Node #0,3,1\nCurrent State: 18:[6, 19], Operations: ['44-13=31', '31-12=19']\nExploring Operation: 19-6=13, Resulting Numbers: [13]\n13,18 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 18:[6, 19], Operations: ['44-13=31', '31-12=19']\nExploring Operation: 6+19=25, Resulting Numbers: [25]\n25,18 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 18:[12, 6, 31], Operations: ['44-13=31']\nExploring Operation: 31-6=25, Resulting Numbers: [12, 25]\nGenerated Node #0,3,2: 18:[12, 25] Operation: 31-6=25\nMoving to Node #0,3,2\nCurrent State: 18:[12, 25], Operations: ['44-13=31', '31-6=25']\nExploring Operation: 25-12=13, Resulting Numbers: [13]\n13,18 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 18:[12, 6, 31], Operations: ['44-13=31']\nExploring Operation: 12-6=6, Resulting Numbers: [31, 6]\nGenerated Node #0,3,3: 18:[31, 6] Operation: 12-6=6\nMoving to Node #0,3,3\nCurrent State: 18:[31, 6], Operations: ['44-13=31', '12-6=6']\nExploring Operation: 31-6=25, Resulting Numbers: [25]\n25,18 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 18:[12, 6, 31], Operations: ['44-13=31']\nExploring Operation: 6+31=37, Resulting Numbers: [12, 37]\nGenerated Node #0,3,4: 18:[12, 37] Operation: 6+31=37\nMoving to Node #0,3,4\nCurrent State: 18:[12, 37], Operations: ['44-13=31', '6+31=37']\nExploring Operation: 37-12=25, Resulting Numbers: [25]\n25,18 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 18:[12, 6, 31], Operations: ['44-13=31']\nExploring Operation: 12/6=2, Resulting Numbers: [31, 2]\nGenerated Node #0,3,5: 18:[31, 2] Operation: 12/6=2\nMoving to Node #0,3,5\nCurrent State: 18:[31, 2], Operations: ['44-13=31', '12/6=2']\nExploring Operation: 31-2=29, Resulting Numbers: [29]\n29,18 unequal: No Solution\nMoving to Node #0,3,5\nCurrent State: 18:[31, 2], Operations: ['44-13=31', '12/6=2']\nExploring Operation: 31+2=33, Resulting Numbers: [33]\n33,18 unequal: No Solution\nMoving to Node #0\nCurrent State: 18:[12, 44, 6, 13], Operations: []\nExploring Operation: 6+13=19, Resulting Numbers: [12, 44, 19]\nGenerated Node #0,4: 18:[12, 44, 19] Operation: 6+13=19\nMoving to Node #0,4\nCurrent State: 18:[12, 44, 19], Operations: ['6+13=19']\nExploring Operation: 44-19=25, Resulting Numbers: [12, 25]\nGenerated Node #0,4,0: 18:[12, 25] Operation: 44-19=25\nMoving to Node #0,4,0\nCurrent State: 18:[12, 25], Operations: ['6+13=19', '44-19=25']\nExploring Operation: 25-12=13, Resulting Numbers: [13]\n13,18 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 18:[12, 44, 19], Operations: ['6+13=19']\nExploring Operation: 44-12=32, Resulting Numbers: [19, 32]\nGenerated Node #0,4,1: 18:[19, 32] Operation: 44-12=32\nMoving to Node #0,4,1\nCurrent State: 18:[19, 32], Operations: ['6+13=19', '44-12=32']\nExploring Operation: 32-19=13, Resulting Numbers: [13]\n13,18 unequal: No Solution\nMoving to Node #0\nCurrent State: 18:[12, 44, 6, 13], Operations: []\nExploring Operation: 12-6=6, Resulting Numbers: [44, 13, 6]\nGenerated Node #0,5: 18:[44, 13, 6] Operation: 12-6=6\nMoving to Node #0,5\nCurrent State: 18:[44, 13, 6], Operations: ['12-6=6']\nExploring Operation: 44-13=31, Resulting Numbers: [6, 31]\nGenerated Node #0,5,0: 18:[6, 31] Operation: 44-13=31\nMoving to Node #0,5,0\nCurrent State: 18:[6, 31], Operations: ['12-6=6', '44-13=31']\nExploring Operation: 31-6=25, Resulting Numbers: [25]\n25,18 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 18:[44, 13, 6], Operations: ['12-6=6']\nExploring Operation: 44-6=38, Resulting Numbers: [13, 38]\nGenerated Node #0,5,1: 18:[13, 38] Operation: 44-6=38\nMoving to Node #0,5,1\nCurrent State: 18:[13, 38], Operations: ['12-6=6', '44-6=38']\nExploring Operation: 38-13=25, Resulting Numbers: [25]\n25,18 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 18:[44, 13, 6], Operations: ['12-6=6']\nExploring Operation: 13+6=19, Resulting Numbers: [44, 19]\nGenerated Node #0,5,2: 18:[44, 19] Operation: 13+6=19\nMoving to Node #0,5,2\nCurrent State: 18:[44, 19], Operations: ['12-6=6', '13+6=19']\nExploring Operation: 44-19=25, Resulting Numbers: [25]\n25,18 unequal: No Solution\nMoving to Node #0\nCurrent State: 18:[12, 44, 6, 13], Operations: []\nExploring Operation: 44+6=50, Resulting Numbers: [12, 13, 50]\nGenerated Node #0,6: 18:[12, 13, 50] Operation: 44+6=50\nMoving to Node #0,6\nCurrent State: 18:[12, 13, 50], Operations: ['44+6=50']\nExploring Operation: 50-12=38, Resulting Numbers: [13, 38]\nGenerated Node #0,6,0: 18:[13, 38] Operation: 50-12=38\nMoving to Node #0,6,0\nCurrent State: 18:[13, 38], Operations: ['44+6=50', '50-12=38']\nExploring Operation: 38-13=25, Resulting Numbers: [25]\n25,18 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 18:[12, 13, 50], Operations: ['44+6=50']\nExploring Operation: 50-13=37, Resulting Numbers: [12, 37]\nGenerated Node #0,6,1: 18:[12, 37] Operation: 50-13=37\nMoving to Node #0,6,1\nCurrent State: 18:[12, 37], Operations: ['44+6=50', '50-13=37']\nExploring Operation: 37-12=25, Resulting Numbers: [25]\n25,18 unequal: No Solution\nMoving to Node #0\nCurrent State: 18:[12, 44, 6, 13], Operations: []\nExploring Operation: 13-6=7, Resulting Numbers: [12, 44, 7]\nGenerated Node #0,7: 18:[12, 44, 7] Operation: 13-6=7\nMoving to Node #0,7\nCurrent State: 18:[12, 44, 7], Operations: ['13-6=7']\nExploring Operation: 44-12=32, Resulting Numbers: [7, 32]\nGenerated Node #0,7,0: 18:[7, 32] Operation: 44-12=32\nMoving to Node #0,7,0\nCurrent State: 18:[7, 32], Operations: ['13-6=7', '44-12=32']\nExploring Operation: 32-7=25, Resulting Numbers: [25]\n25,18 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 18:[12, 44, 7], Operations: ['13-6=7']\nExploring Operation: 44-7=37, Resulting Numbers: [12, 37]\nGenerated Node #0,7,1: 18:[12, 37] Operation: 44-7=37\nMoving to Node #0,7,1\nCurrent State: 18:[12, 37], Operations: ['13-6=7', '44-7=37']\nExploring Operation: 37-12=25, Resulting Numbers: [25]\n25,18 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 18:[12, 44, 7], Operations: ['13-6=7']\nExploring Operation: 12+7=19, Resulting Numbers: [44, 19]\nGenerated Node #0,7,2: 18:[44, 19] Operation: 12+7=19\nMoving to Node #0,7,2\nCurrent State: 18:[44, 19], Operations: ['13-6=7', '12+7=19']\nExploring Operation: 44-19=25, Resulting Numbers: [25]\n25,18 unequal: No Solution\nMoving to Node #0\nCurrent State: 18:[12, 44, 6, 13], Operations: []\nExploring Operation: 12+13=25, Resulting Numbers: [44, 6, 25]\nGenerated Node #0,8: 18:[44, 6, 25] Operation: 12+13=25\nMoving to Node #0,8\nCurrent State: 18:[44, 6, 25], Operations: ['12+13=25']\nExploring Operation: 44-25=19, Resulting Numbers: [6, 19]\nGenerated Node #0,8,0: 18:[6, 19] Operation: 44-25=19\nMoving to Node #0,8,0\nCurrent State: 18:[6, 19], Operations: ['12+13=25', '44-25=19']\nExploring Operation: 19-6=13, Resulting Numbers: [13]\n13,18 unequal: No Solution\nMoving to Node #0,8,0\nCurrent State: 18:[6, 19], Operations: ['12+13=25', '44-25=19']\nExploring Operation: 6+19=25, Resulting Numbers: [25]\n25,18 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 18:[44, 6, 25], Operations: ['12+13=25']\nExploring Operation: 44-6=38, Resulting Numbers: [25, 38]\nGenerated Node #0,8,1: 18:[25, 38] Operation: 44-6=38\nMoving to Node #0,8,1\nCurrent State: 18:[25, 38], Operations: ['12+13=25', '44-6=38']\nExploring Operation: 38-25=13, Resulting Numbers: [13]\n13,18 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 18:[44, 6, 25], Operations: ['12+13=25']\nExploring Operation: 25-6=19, Resulting Numbers: [44, 19]\nGenerated Node #0,8,2: 18:[44, 19] Operation: 25-6=19\nMoving to Node #0,8,2\nCurrent State: 18:[44, 19], Operations: ['12+13=25', '25-6=19']\nExploring Operation: 44-19=25, Resulting Numbers: [25]\n25,18 unequal: No Solution\nMoving to Node #0\nCurrent State: 18:[12, 44, 6, 13], Operations: []\nExploring Operation: 12/6=2, Resulting Numbers: [44, 13, 2]\nGenerated Node #0,9: 18:[44, 13, 2] Operation: 12/6=2\nMoving to Node #0,9\nCurrent State: 18:[44, 13, 2], Operations: ['12/6=2']\nExploring Operation: 44/2=22, Resulting Numbers: [13, 22]\nGenerated Node #0,9,0: 18:[13, 22] Operation: 44/2=22\nMoving to Node #0,9,0\nCurrent State: 18:[13, 22], Operations: ['12/6=2', '44/2=22']\nExploring Operation: 22-13=9, Resulting Numbers: [9]\n9,18 unequal: No Solution\nMoving to Node #0,9,0\nCurrent State: 18:[13, 22], Operations: ['12/6=2', '44/2=22']\nExploring Operation: 13+22=35, Resulting Numbers: [35]\n35,18 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 18:[44, 13, 2], Operations: ['12/6=2']\nExploring Operation: 44-13=31, Resulting Numbers: [2, 31]\nGenerated Node #0,9,1: 18:[2, 31] Operation: 44-13=31\nMoving to Node #0,9,1\nCurrent State: 18:[2, 31], Operations: ['12/6=2', '44-13=31']\nExploring Operation: 31-2=29, Resulting Numbers: [29]\n29,18 unequal: No Solution\nMoving to Node #0,9,1\nCurrent State: 18:[2, 31], Operations: ['12/6=2', '44-13=31']\nExploring Operation: 2+31=33, Resulting Numbers: [33]\n33,18 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 18:[44, 13, 2], Operations: ['12/6=2']\nExploring Operation: 44-2=42, Resulting Numbers: [13, 42]\nGenerated Node #0,9,2: 18:[13, 42] Operation: 44-2=42\nMoving to Node #0,9,2\nCurrent State: 18:[13, 42], Operations: ['12/6=2', '44-2=42']\nExploring Operation: 42-13=29, Resulting Numbers: [29]\n29,18 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 18:[44, 13, 2], Operations: ['12/6=2']\nExploring Operation: 13+2=15, Resulting Numbers: [44, 15]\nGenerated Node #0,9,3: 18:[44, 15] Operation: 13+2=15\nMoving to Node #0,9,3\nCurrent State: 18:[44, 15], Operations: ['12/6=2', '13+2=15']\nExploring Operation: 44-15=29, Resulting Numbers: [29]\n29,18 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 18:[44, 13, 2], Operations: ['12/6=2']\nExploring Operation: 44+2=46, Resulting Numbers: [13, 46]\nGenerated Node #0,9,4: 18:[13, 46] Operation: 44+2=46\nMoving to Node #0,9,4\nCurrent State: 18:[13, 46], Operations: ['12/6=2', '44+2=46']\nExploring Operation: 46-13=33, Resulting Numbers: [33]\n33,18 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 18:[44, 13, 2], Operations: ['12/6=2']\nExploring Operation: 13-2=11, Resulting Numbers: [44, 11]\nGenerated Node #0,9,5: 18:[44, 11] Operation: 13-2=11\nMoving to Node #0,9,5\nCurrent State: 18:[44, 11], Operations: ['12/6=2', '13-2=11']\nExploring Operation: 44/11=4, Resulting Numbers: [4]\n4,18 unequal: No Solution\nMoving to Node #0,9,5\nCurrent State: 18:[44, 11], Operations: ['12/6=2', '13-2=11']\nExploring Operation: 44-11=33, Resulting Numbers: [33]\n33,18 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 18:[44, 13, 2], Operations: ['12/6=2']\nExploring Operation: 13*2=26, Resulting Numbers: [44, 26]\nGenerated Node #0,9,6: 18:[44, 26] Operation: 13*2=26\nMoving to Node #0,9,6\nCurrent State: 18:[44, 26], Operations: ['12/6=2', '13*2=26']\nExploring Operation: 44-26=18, Resulting Numbers: [18]\n18,18 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [57, 95, 45, 98] using the four basic arithmetic operations (+, -, *, /) to reach 91.",
"role": "user"
},
{
"content": "Current State: 91:[57, 95, 45, 98], Operations: []\nExploring Operation: 98-57=41, Resulting Numbers: [95, 45, 41]\nGenerated Node #0,0: 91:[95, 45, 41] Operation: 98-57=41\nExploring Operation: 57-45=12, Resulting Numbers: [95, 98, 12]\nGenerated Node #0,1: 91:[95, 98, 12] Operation: 57-45=12\nExploring Operation: 57+45=102, Resulting Numbers: [95, 98, 102]\nGenerated Node #0,2: 91:[95, 98, 102] Operation: 57+45=102\nExploring Operation: 95-57=38, Resulting Numbers: [45, 98, 38]\nGenerated Node #0,3: 91:[45, 98, 38] Operation: 95-57=38\nMoving to Node #0,1\nCurrent State: 91:[95, 98, 12], Operations: ['57-45=12']\nExploring Operation: 95+12=107, Resulting Numbers: [98, 107]\nGenerated Node #0,1,0: 91:[98, 107] Operation: 95+12=107\nExploring Operation: 98-95=3, Resulting Numbers: [12, 3]\nGenerated Node #0,1,1: 91:[12, 3] Operation: 98-95=3\nExploring Operation: 98-12=86, Resulting Numbers: [95, 86]\nGenerated Node #0,1,2: 91:[95, 86] Operation: 98-12=86\nExploring Operation: 95-12=83, Resulting Numbers: [98, 83]\nGenerated Node #0,1,3: 91:[98, 83] Operation: 95-12=83\nMoving to Node #0,2\nCurrent State: 91:[95, 98, 102], Operations: ['57+45=102']\nExploring Operation: 102-95=7, Resulting Numbers: [98, 7]\nGenerated Node #0,2,0: 91:[98, 7] Operation: 102-95=7\nExploring Operation: 98-95=3, Resulting Numbers: [102, 3]\nGenerated Node #0,2,1: 91:[102, 3] Operation: 98-95=3\nExploring Operation: 102-98=4, Resulting Numbers: [95, 4]\nGenerated Node #0,2,2: 91:[95, 4] Operation: 102-98=4\nExploring Operation: 95+98=193, Resulting Numbers: [102, 193]\nGenerated Node #0,2,3: 91:[102, 193] Operation: 95+98=193\nMoving to Node #0,3\nCurrent State: 91:[45, 98, 38], Operations: ['95-57=38']\nExploring Operation: 98-38=60, Resulting Numbers: [45, 60]\nGenerated Node #0,3,0: 91:[45, 60] Operation: 98-38=60\nExploring Operation: 45-38=7, Resulting Numbers: [98, 7]\nGenerated Node #0,3,1: 91:[98, 7] Operation: 45-38=7\nExploring Operation: 98-45=53, Resulting Numbers: [38, 53]\nGenerated Node #0,3,2: 91:[38, 53] Operation: 98-45=53\nExploring Operation: 45+38=83, Resulting Numbers: [98, 83]\nGenerated Node #0,3,3: 91:[98, 83] Operation: 45+38=83\nMoving to Node #0,0\nCurrent State: 91:[95, 45, 41], Operations: ['98-57=41']\nExploring Operation: 95-45=50, Resulting Numbers: [41, 50]\nGenerated Node #0,0,0: 91:[41, 50] Operation: 95-45=50\nExploring Operation: 45-41=4, Resulting Numbers: [95, 4]\nGenerated Node #0,0,1: 91:[95, 4] Operation: 45-41=4\nExploring Operation: 45+41=86, Resulting Numbers: [95, 86]\nGenerated Node #0,0,2: 91:[95, 86] Operation: 45+41=86\nExploring Operation: 95-41=54, Resulting Numbers: [45, 54]\nGenerated Node #0,0,3: 91:[45, 54] Operation: 95-41=54\nMoving to Node #0,1,1\nCurrent State: 91:[12, 3], Operations: ['57-45=12', '98-95=3']\nExploring Operation: 12-3=9, Resulting Numbers: [9]\n9,91 unequal: No Solution\nExploring Operation: 12+3=15, Resulting Numbers: [15]\n15,91 unequal: No Solution\nExploring Operation: 12*3=36, Resulting Numbers: [36]\n36,91 unequal: No Solution\nExploring Operation: 12/3=4, Resulting Numbers: [4]\n4,91 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 91:[95, 4], Operations: ['57+45=102', '102-98=4']\nExploring Operation: 95+4=99, Resulting Numbers: [99]\n99,91 unequal: No Solution\nExploring Operation: 95-4=91, Resulting Numbers: [91]\n91,91 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [16, 64, 2, 90] using the four basic arithmetic operations (+, -, *, /) to reach 43.",
"role": "user"
},
{
"content": "Current State: 43:[16, 64, 2, 90], Operations: []\nExploring Operation: 16*2=32, Resulting Numbers: [64, 90, 32]\nGenerated Node #0,0: 43:[64, 90, 32] Operation: 16*2=32\nExploring Operation: 90-64=26, Resulting Numbers: [16, 2, 26]\nGenerated Node #0,1: 43:[16, 2, 26] Operation: 90-64=26\nExploring Operation: 90/2=45, Resulting Numbers: [16, 64, 45]\nGenerated Node #0,2: 43:[16, 64, 45] Operation: 90/2=45\nExploring Operation: 64/2=32, Resulting Numbers: [16, 90, 32]\nGenerated Node #0,3: 43:[16, 90, 32] Operation: 64/2=32\nMoving to Node #0,2\nCurrent State: 43:[16, 64, 45], Operations: ['90/2=45']\nExploring Operation: 16+45=61, Resulting Numbers: [64, 61]\nGenerated Node #0,2,0: 43:[64, 61] Operation: 16+45=61\nExploring Operation: 64-16=48, Resulting Numbers: [45, 48]\nGenerated Node #0,2,1: 43:[45, 48] Operation: 64-16=48\nExploring Operation: 45-16=29, Resulting Numbers: [64, 29]\nGenerated Node #0,2,2: 43:[64, 29] Operation: 45-16=29\nExploring Operation: 16+64=80, Resulting Numbers: [45, 80]\nGenerated Node #0,2,3: 43:[45, 80] Operation: 16+64=80\nMoving to Node #0,0\nCurrent State: 43:[64, 90, 32], Operations: ['16*2=32']\nExploring Operation: 90-64=26, Resulting Numbers: [32, 26]\nGenerated Node #0,0,0: 43:[32, 26] Operation: 90-64=26\nExploring Operation: 90-32=58, Resulting Numbers: [64, 58]\nGenerated Node #0,0,1: 43:[64, 58] Operation: 90-32=58\nExploring Operation: 64/32=2, Resulting Numbers: [90, 2]\nGenerated Node #0,0,2: 43:[90, 2] Operation: 64/32=2\nExploring Operation: 64-32=32, Resulting Numbers: [90, 32]\nGenerated Node #0,0,3: 43:[90, 32] Operation: 64-32=32\nMoving to Node #0,3\nCurrent State: 43:[16, 90, 32], Operations: ['64/2=32']\nExploring Operation: 90-16=74, Resulting Numbers: [32, 74]\nGenerated Node #0,3,0: 43:[32, 74] Operation: 90-16=74\nExploring Operation: 16+32=48, Resulting Numbers: [90, 48]\nGenerated Node #0,3,1: 43:[90, 48] Operation: 16+32=48\nExploring Operation: 16+90=106, Resulting Numbers: [32, 106]\nGenerated Node #0,3,2: 43:[32, 106] Operation: 16+90=106\nExploring Operation: 90-32=58, Resulting Numbers: [16, 58]\nGenerated Node #0,3,3: 43:[16, 58] Operation: 90-32=58\nMoving to Node #0,1\nCurrent State: 43:[16, 2, 26], Operations: ['90-64=26']\nExploring Operation: 16+2=18, Resulting Numbers: [26, 18]\nGenerated Node #0,1,0: 43:[26, 18] Operation: 16+2=18\nExploring Operation: 16*2=32, Resulting Numbers: [26, 32]\nGenerated Node #0,1,1: 43:[26, 32] Operation: 16*2=32\nExploring Operation: 2*26=52, Resulting Numbers: [16, 52]\nGenerated Node #0,1,2: 43:[16, 52] Operation: 2*26=52\nExploring Operation: 16+26=42, Resulting Numbers: [2, 42]\nGenerated Node #0,1,3: 43:[2, 42] Operation: 16+26=42\nMoving to Node #0,2,1\nCurrent State: 43:[45, 48], Operations: ['90/2=45', '64-16=48']\nExploring Operation: 48-45=3, Resulting Numbers: [3]\n3,43 unequal: No Solution\nExploring Operation: 45+48=93, Resulting Numbers: [93]\n93,43 unequal: No Solution\nExploring Operation: 45*48=2160, Resulting Numbers: [2160]\n2160,43 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 43:[26, 32], Operations: ['90-64=26', '16*2=32']\nExploring Operation: 26*32=832, Resulting Numbers: [832]\n832,43 unequal: No Solution\nExploring Operation: 26+32=58, Resulting Numbers: [58]\n58,43 unequal: No Solution\nExploring Operation: 32-26=6, Resulting Numbers: [6]\n6,43 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 43:[32, 26], Operations: ['16*2=32', '90-64=26']\nExploring Operation: 32-26=6, Resulting Numbers: [6]\n6,43 unequal: No Solution\nExploring Operation: 32+26=58, Resulting Numbers: [58]\n58,43 unequal: No Solution\nExploring Operation: 32*26=832, Resulting Numbers: [832]\n832,43 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 43:[64, 29], Operations: ['90/2=45', '45-16=29']\nExploring Operation: 64*29=1856, Resulting Numbers: [1856]\n1856,43 unequal: No Solution\nExploring Operation: 64+29=93, Resulting Numbers: [93]\n93,43 unequal: No Solution\nExploring Operation: 64-29=35, Resulting Numbers: [35]\n35,43 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 43:[16, 52], Operations: ['90-64=26', '2*26=52']\nExploring Operation: 52-16=36, Resulting Numbers: [36]\n36,43 unequal: No Solution\nExploring Operation: 16+52=68, Resulting Numbers: [68]\n68,43 unequal: No Solution\nExploring Operation: 16*52=832, Resulting Numbers: [832]\n832,43 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 43:[64, 58], Operations: ['16*2=32', '90-32=58']\nExploring Operation: 64+58=122, Resulting Numbers: [122]\n122,43 unequal: No Solution\nExploring Operation: 64*58=3712, Resulting Numbers: [3712]\n3712,43 unequal: No Solution\nExploring Operation: 64-58=6, Resulting Numbers: [6]\n6,43 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 43:[64, 61], Operations: ['90/2=45', '16+45=61']\nExploring Operation: 64+61=125, Resulting Numbers: [125]\n125,43 unequal: No Solution\nExploring Operation: 64*61=3904, Resulting Numbers: [3904]\n3904,43 unequal: No Solution\nExploring Operation: 64-61=3, Resulting Numbers: [3]\n3,43 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 43:[45, 80], Operations: ['90/2=45', '16+64=80']\nExploring Operation: 45*80=3600, Resulting Numbers: [3600]\n3600,43 unequal: No Solution\nExploring Operation: 80-45=35, Resulting Numbers: [35]\n35,43 unequal: No Solution\nExploring Operation: 45+80=125, Resulting Numbers: [125]\n125,43 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 43:[26, 18], Operations: ['90-64=26', '16+2=18']\nExploring Operation: 26+18=44, Resulting Numbers: [44]\n44,43 unequal: No Solution\nExploring Operation: 26*18=468, Resulting Numbers: [468]\n468,43 unequal: No Solution\nExploring Operation: 26-18=8, Resulting Numbers: [8]\n8,43 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 43:[16, 58], Operations: ['64/2=32', '90-32=58']\nExploring Operation: 16*58=928, Resulting Numbers: [928]\n928,43 unequal: No Solution\nExploring Operation: 58-16=42, Resulting Numbers: [42]\n42,43 unequal: No Solution\nExploring Operation: 16+58=74, Resulting Numbers: [74]\n74,43 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 43:[32, 74], Operations: ['64/2=32', '90-16=74']\nExploring Operation: 32*74=2368, Resulting Numbers: [2368]\n2368,43 unequal: No Solution\nExploring Operation: 74-32=42, Resulting Numbers: [42]\n42,43 unequal: No Solution\nExploring Operation: 32+74=106, Resulting Numbers: [106]\n106,43 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 43:[2, 42], Operations: ['90-64=26', '16+26=42']\nExploring Operation: 42/2=21, Resulting Numbers: [21]\n21,43 unequal: No Solution\nExploring Operation: 42-2=40, Resulting Numbers: [40]\n40,43 unequal: No Solution\nExploring Operation: 2*42=84, Resulting Numbers: [84]\n84,43 unequal: No Solution\nExploring Operation: 2+42=44, Resulting Numbers: [44]\n44,43 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 43:[90, 48], Operations: ['64/2=32', '16+32=48']\nExploring Operation: 90+48=138, Resulting Numbers: [138]\n138,43 unequal: No Solution\nExploring Operation: 90*48=4320, Resulting Numbers: [4320]\n4320,43 unequal: No Solution\nExploring Operation: 90-48=42, Resulting Numbers: [42]\n42,43 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 43:[90, 32], Operations: ['16*2=32', '64-32=32']\nExploring Operation: 90*32=2880, Resulting Numbers: [2880]\n2880,43 unequal: No Solution\nExploring Operation: 90+32=122, Resulting Numbers: [122]\n122,43 unequal: No Solution\nExploring Operation: 90-32=58, Resulting Numbers: [58]\n58,43 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 43:[32, 106], Operations: ['64/2=32', '16+90=106']\nExploring Operation: 32+106=138, Resulting Numbers: [138]\n138,43 unequal: No Solution\nExploring Operation: 106-32=74, Resulting Numbers: [74]\n74,43 unequal: No Solution\nExploring Operation: 32*106=3392, Resulting Numbers: [3392]\n3392,43 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 43:[90, 2], Operations: ['16*2=32', '64/32=2']\nExploring Operation: 90*2=180, Resulting Numbers: [180]\n180,43 unequal: No Solution\nExploring Operation: 90+2=92, Resulting Numbers: [92]\n92,43 unequal: No Solution\nExploring Operation: 90/2=45, Resulting Numbers: [45]\n45,43 unequal: No Solution\nExploring Operation: 90-2=88, Resulting Numbers: [88]\n88,43 unequal: No Solution\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [55, 66, 49, 90] using the four basic arithmetic operations (+, -, *, /) to reach 79.",
"role": "user"
},
{
"content": "Current State: 79:[55, 66, 49, 90], Operations: []\nExploring Operation: 55+49=104, Resulting Numbers: [66, 90, 104]\nGenerated Node #0,0: 79:[66, 90, 104] Operation: 55+49=104\nMoving to Node #0,0\nCurrent State: 79:[66, 90, 104], Operations: ['55+49=104']\nExploring Operation: 104-66=38, Resulting Numbers: [90, 38]\nGenerated Node #0,0,0: 79:[90, 38] Operation: 104-66=38\nMoving to Node #0,0,0\nCurrent State: 79:[90, 38], Operations: ['55+49=104', '104-66=38']\nExploring Operation: 90-38=52, Resulting Numbers: [52]\n52,79 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 79:[90, 38], Operations: ['55+49=104', '104-66=38']\nExploring Operation: 90+38=128, Resulting Numbers: [128]\n128,79 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 79:[66, 90, 104], Operations: ['55+49=104']\nExploring Operation: 104-90=14, Resulting Numbers: [66, 14]\nGenerated Node #0,0,1: 79:[66, 14] Operation: 104-90=14\nMoving to Node #0,0,1\nCurrent State: 79:[66, 14], Operations: ['55+49=104', '104-90=14']\nExploring Operation: 66+14=80, Resulting Numbers: [80]\n80,79 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 79:[66, 14], Operations: ['55+49=104', '104-90=14']\nExploring Operation: 66-14=52, Resulting Numbers: [52]\n52,79 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 79:[66, 90, 104], Operations: ['55+49=104']\nExploring Operation: 90-66=24, Resulting Numbers: [104, 24]\nGenerated Node #0,0,2: 79:[104, 24] Operation: 90-66=24\nMoving to Node #0,0,2\nCurrent State: 79:[104, 24], Operations: ['55+49=104', '90-66=24']\nExploring Operation: 104-24=80, Resulting Numbers: [80]\n80,79 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 79:[104, 24], Operations: ['55+49=104', '90-66=24']\nExploring Operation: 104+24=128, Resulting Numbers: [128]\n128,79 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 79:[66, 90, 104], Operations: ['55+49=104']\nExploring Operation: 66+90=156, Resulting Numbers: [104, 156]\nGenerated Node #0,0,3: 79:[104, 156] Operation: 66+90=156\nMoving to Node #0,0,3\nCurrent State: 79:[104, 156], Operations: ['55+49=104', '66+90=156']\nExploring Operation: 156-104=52, Resulting Numbers: [52]\n52,79 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 79:[66, 90, 104], Operations: ['55+49=104']\nExploring Operation: 66+104=170, Resulting Numbers: [90, 170]\nGenerated Node #0,0,4: 79:[90, 170] Operation: 66+104=170\nMoving to Node #0,0,4\nCurrent State: 79:[90, 170], Operations: ['55+49=104', '66+104=170']\nExploring Operation: 170-90=80, Resulting Numbers: [80]\n80,79 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 79:[66, 90, 104], Operations: ['55+49=104']\nExploring Operation: 90+104=194, Resulting Numbers: [66, 194]\nGenerated Node #0,0,5: 79:[66, 194] Operation: 90+104=194\nMoving to Node #0,0,5\nCurrent State: 79:[66, 194], Operations: ['55+49=104', '90+104=194']\nExploring Operation: 194-66=128, Resulting Numbers: [128]\n128,79 unequal: No Solution\nMoving to Node #0\nCurrent State: 79:[55, 66, 49, 90], Operations: []\nExploring Operation: 66+49=115, Resulting Numbers: [55, 90, 115]\nGenerated Node #0,1: 79:[55, 90, 115] Operation: 66+49=115\nMoving to Node #0,1\nCurrent State: 79:[55, 90, 115], Operations: ['66+49=115']\nExploring Operation: 115-55=60, Resulting Numbers: [90, 60]\nGenerated Node #0,1,0: 79:[90, 60] Operation: 115-55=60\nMoving to Node #0,1,0\nCurrent State: 79:[90, 60], Operations: ['66+49=115', '115-55=60']\nExploring Operation: 90-60=30, Resulting Numbers: [30]\n30,79 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 79:[90, 60], Operations: ['66+49=115', '115-55=60']\nExploring Operation: 90+60=150, Resulting Numbers: [150]\n150,79 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 79:[55, 90, 115], Operations: ['66+49=115']\nExploring Operation: 115-90=25, Resulting Numbers: [55, 25]\nGenerated Node #0,1,1: 79:[55, 25] Operation: 115-90=25\nMoving to Node #0,1,1\nCurrent State: 79:[55, 25], Operations: ['66+49=115', '115-90=25']\nExploring Operation: 55+25=80, Resulting Numbers: [80]\n80,79 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 79:[55, 25], Operations: ['66+49=115', '115-90=25']\nExploring Operation: 55-25=30, Resulting Numbers: [30]\n30,79 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 79:[55, 90, 115], Operations: ['66+49=115']\nExploring Operation: 90-55=35, Resulting Numbers: [115, 35]\nGenerated Node #0,1,2: 79:[115, 35] Operation: 90-55=35\nMoving to Node #0,1,2\nCurrent State: 79:[115, 35], Operations: ['66+49=115', '90-55=35']\nExploring Operation: 115-35=80, Resulting Numbers: [80]\n80,79 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 79:[115, 35], Operations: ['66+49=115', '90-55=35']\nExploring Operation: 115+35=150, Resulting Numbers: [150]\n150,79 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 79:[55, 90, 115], Operations: ['66+49=115']\nExploring Operation: 55+90=145, Resulting Numbers: [115, 145]\nGenerated Node #0,1,3: 79:[115, 145] Operation: 55+90=145\nMoving to Node #0,1,3\nCurrent State: 79:[115, 145], Operations: ['66+49=115', '55+90=145']\nExploring Operation: 145-115=30, Resulting Numbers: [30]\n30,79 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 79:[55, 90, 115], Operations: ['66+49=115']\nExploring Operation: 55+115=170, Resulting Numbers: [90, 170]\nGenerated Node #0,1,4: 79:[90, 170] Operation: 55+115=170\nMoving to Node #0,1,4\nCurrent State: 79:[90, 170], Operations: ['66+49=115', '55+115=170']\nExploring Operation: 170-90=80, Resulting Numbers: [80]\n80,79 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 79:[55, 90, 115], Operations: ['66+49=115']\nExploring Operation: 90+115=205, Resulting Numbers: [55, 205]\nGenerated Node #0,1,5: 79:[55, 205] Operation: 90+115=205\nMoving to Node #0,1,5\nCurrent State: 79:[55, 205], Operations: ['66+49=115', '90+115=205']\nExploring Operation: 205-55=150, Resulting Numbers: [150]\n150,79 unequal: No Solution\nMoving to Node #0\nCurrent State: 79:[55, 66, 49, 90], Operations: []\nExploring Operation: 90-49=41, Resulting Numbers: [55, 66, 41]\nGenerated Node #0,2: 79:[55, 66, 41] Operation: 90-49=41\nMoving to Node #0,2\nCurrent State: 79:[55, 66, 41], Operations: ['90-49=41']\nExploring Operation: 55+41=96, Resulting Numbers: [66, 96]\nGenerated Node #0,2,0: 79:[66, 96] Operation: 55+41=96\nMoving to Node #0,2,0\nCurrent State: 79:[66, 96], Operations: ['90-49=41', '55+41=96']\nExploring Operation: 96-66=30, Resulting Numbers: [30]\n30,79 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 79:[55, 66, 41], Operations: ['90-49=41']\nExploring Operation: 66+41=107, Resulting Numbers: [55, 107]\nGenerated Node #0,2,1: 79:[55, 107] Operation: 66+41=107\nMoving to Node #0,2,1\nCurrent State: 79:[55, 107], Operations: ['90-49=41', '66+41=107']\nExploring Operation: 107-55=52, Resulting Numbers: [52]\n52,79 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 79:[55, 66, 41], Operations: ['90-49=41']\nExploring Operation: 55-41=14, Resulting Numbers: [66, 14]\nGenerated Node #0,2,2: 79:[66, 14] Operation: 55-41=14\nMoving to Node #0,2,2\nCurrent State: 79:[66, 14], Operations: ['90-49=41', '55-41=14']\nExploring Operation: 66+14=80, Resulting Numbers: [80]\n80,79 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 79:[66, 14], Operations: ['90-49=41', '55-41=14']\nExploring Operation: 66-14=52, Resulting Numbers: [52]\n52,79 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 79:[55, 66, 41], Operations: ['90-49=41']\nExploring Operation: 66-41=25, Resulting Numbers: [55, 25]\nGenerated Node #0,2,3: 79:[55, 25] Operation: 66-41=25\nMoving to Node #0,2,3\nCurrent State: 79:[55, 25], Operations: ['90-49=41', '66-41=25']\nExploring Operation: 55+25=80, Resulting Numbers: [80]\n80,79 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 79:[55, 25], Operations: ['90-49=41', '66-41=25']\nExploring Operation: 55-25=30, Resulting Numbers: [30]\n30,79 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 79:[55, 66, 41], Operations: ['90-49=41']\nExploring Operation: 55+66=121, Resulting Numbers: [41, 121]\nGenerated Node #0,2,4: 79:[41, 121] Operation: 55+66=121\nMoving to Node #0,2,4\nCurrent State: 79:[41, 121], Operations: ['90-49=41', '55+66=121']\nExploring Operation: 121-41=80, Resulting Numbers: [80]\n80,79 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 79:[55, 66, 41], Operations: ['90-49=41']\nExploring Operation: 66-55=11, Resulting Numbers: [41, 11]\nGenerated Node #0,2,5: 79:[41, 11] Operation: 66-55=11\nMoving to Node #0,2,5\nCurrent State: 79:[41, 11], Operations: ['90-49=41', '66-55=11']\nExploring Operation: 41+11=52, Resulting Numbers: [52]\n52,79 unequal: No Solution\nMoving to Node #0,2,5\nCurrent State: 79:[41, 11], Operations: ['90-49=41', '66-55=11']\nExploring Operation: 41-11=30, Resulting Numbers: [30]\n30,79 unequal: No Solution\nMoving to Node #0\nCurrent State: 79:[55, 66, 49, 90], Operations: []\nExploring Operation: 55+66=121, Resulting Numbers: [49, 90, 121]\nGenerated Node #0,3: 79:[49, 90, 121] Operation: 55+66=121\nMoving to Node #0,3\nCurrent State: 79:[49, 90, 121], Operations: ['55+66=121']\nExploring Operation: 121-49=72, Resulting Numbers: [90, 72]\nGenerated Node #0,3,0: 79:[90, 72] Operation: 121-49=72\nMoving to Node #0,3,0\nCurrent State: 79:[90, 72], Operations: ['55+66=121', '121-49=72']\nExploring Operation: 90-72=18, Resulting Numbers: [18]\n18,79 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 79:[49, 90, 121], Operations: ['55+66=121']\nExploring Operation: 121-90=31, Resulting Numbers: [49, 31]\nGenerated Node #0,3,1: 79:[49, 31] Operation: 121-90=31\nMoving to Node #0,3,1\nCurrent State: 79:[49, 31], Operations: ['55+66=121', '121-90=31']\nExploring Operation: 49+31=80, Resulting Numbers: [80]\n80,79 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 79:[49, 31], Operations: ['55+66=121', '121-90=31']\nExploring Operation: 49-31=18, Resulting Numbers: [18]\n18,79 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 79:[49, 90, 121], Operations: ['55+66=121']\nExploring Operation: 90-49=41, Resulting Numbers: [121, 41]\nGenerated Node #0,3,2: 79:[121, 41] Operation: 90-49=41\nMoving to Node #0,3,2\nCurrent State: 79:[121, 41], Operations: ['55+66=121', '90-49=41']\nExploring Operation: 121-41=80, Resulting Numbers: [80]\n80,79 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 79:[49, 90, 121], Operations: ['55+66=121']\nExploring Operation: 49+90=139, Resulting Numbers: [121, 139]\nGenerated Node #0,3,3: 79:[121, 139] Operation: 49+90=139\nMoving to Node #0,3,3\nCurrent State: 79:[121, 139], Operations: ['55+66=121', '49+90=139']\nExploring Operation: 139-121=18, Resulting Numbers: [18]\n18,79 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 79:[49, 90, 121], Operations: ['55+66=121']\nExploring Operation: 49+121=170, Resulting Numbers: [90, 170]\nGenerated Node #0,3,4: 79:[90, 170] Operation: 49+121=170\nMoving to Node #0,3,4\nCurrent State: 79:[90, 170], Operations: ['55+66=121', '49+121=170']\nExploring Operation: 170-90=80, Resulting Numbers: [80]\n80,79 unequal: No Solution\nMoving to Node #0\nCurrent State: 79:[55, 66, 49, 90], Operations: []\nExploring Operation: 90-55=35, Resulting Numbers: [66, 49, 35]\nGenerated Node #0,4: 79:[66, 49, 35] Operation: 90-55=35\nMoving to Node #0,4\nCurrent State: 79:[66, 49, 35], Operations: ['90-55=35']\nExploring Operation: 49+35=84, Resulting Numbers: [66, 84]\nGenerated Node #0,4,0: 79:[66, 84] Operation: 49+35=84\nMoving to Node #0,4,0\nCurrent State: 79:[66, 84], Operations: ['90-55=35', '49+35=84']\nExploring Operation: 84-66=18, Resulting Numbers: [18]\n18,79 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 79:[66, 84], Operations: ['90-55=35', '49+35=84']\nExploring Operation: 66+84=150, Resulting Numbers: [150]\n150,79 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 79:[66, 49, 35], Operations: ['90-55=35']\nExploring Operation: 66+35=101, Resulting Numbers: [49, 101]\nGenerated Node #0,4,1: 79:[49, 101] Operation: 66+35=101\nMoving to Node #0,4,1\nCurrent State: 79:[49, 101], Operations: ['90-55=35', '66+35=101']\nExploring Operation: 101-49=52, Resulting Numbers: [52]\n52,79 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 79:[49, 101], Operations: ['90-55=35', '66+35=101']\nExploring Operation: 49+101=150, Resulting Numbers: [150]\n150,79 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 79:[66, 49, 35], Operations: ['90-55=35']\nExploring Operation: 66-35=31, Resulting Numbers: [49, 31]\nGenerated Node #0,4,2: 79:[49, 31] Operation: 66-35=31\nMoving to Node #0,4,2\nCurrent State: 79:[49, 31], Operations: ['90-55=35', '66-35=31']\nExploring Operation: 49+31=80, Resulting Numbers: [80]\n80,79 unequal: No Solution\nMoving to Node #0,4,2\nCurrent State: 79:[49, 31], Operations: ['90-55=35', '66-35=31']\nExploring Operation: 49-31=18, Resulting Numbers: [18]\n18,79 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 79:[66, 49, 35], Operations: ['90-55=35']\nExploring Operation: 49-35=14, Resulting Numbers: [66, 14]\nGenerated Node #0,4,3: 79:[66, 14] Operation: 49-35=14\nMoving to Node #0,4,3\nCurrent State: 79:[66, 14], Operations: ['90-55=35', '49-35=14']\nExploring Operation: 66+14=80, Resulting Numbers: [80]\n80,79 unequal: No Solution\nMoving to Node #0,4,3\nCurrent State: 79:[66, 14], Operations: ['90-55=35', '49-35=14']\nExploring Operation: 66-14=52, Resulting Numbers: [52]\n52,79 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 79:[66, 49, 35], Operations: ['90-55=35']\nExploring Operation: 66+49=115, Resulting Numbers: [35, 115]\nGenerated Node #0,4,4: 79:[35, 115] Operation: 66+49=115\nMoving to Node #0,4,4\nCurrent State: 79:[35, 115], Operations: ['90-55=35', '66+49=115']\nExploring Operation: 115-35=80, Resulting Numbers: [80]\n80,79 unequal: No Solution\nMoving to Node #0,4,4\nCurrent State: 79:[35, 115], Operations: ['90-55=35', '66+49=115']\nExploring Operation: 35+115=150, Resulting Numbers: [150]\n150,79 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 79:[66, 49, 35], Operations: ['90-55=35']\nExploring Operation: 66-49=17, Resulting Numbers: [35, 17]\nGenerated Node #0,4,5: 79:[35, 17] Operation: 66-49=17\nMoving to Node #0,4,5\nCurrent State: 79:[35, 17], Operations: ['90-55=35', '66-49=17']\nExploring Operation: 35+17=52, Resulting Numbers: [52]\n52,79 unequal: No Solution\nMoving to Node #0,4,5\nCurrent State: 79:[35, 17], Operations: ['90-55=35', '66-49=17']\nExploring Operation: 35-17=18, Resulting Numbers: [18]\n18,79 unequal: No Solution\nMoving to Node #0\nCurrent State: 79:[55, 66, 49, 90], Operations: []\nExploring Operation: 55-49=6, Resulting Numbers: [66, 90, 6]\nGenerated Node #0,5: 79:[66, 90, 6] Operation: 55-49=6\nMoving to Node #0,5\nCurrent State: 79:[66, 90, 6], Operations: ['55-49=6']\nExploring Operation: 66+6=72, Resulting Numbers: [90, 72]\nGenerated Node #0,5,0: 79:[90, 72] Operation: 66+6=72\nMoving to Node #0,5,0\nCurrent State: 79:[90, 72], Operations: ['55-49=6', '66+6=72']\nExploring Operation: 90-72=18, Resulting Numbers: [18]\n18,79 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 79:[66, 90, 6], Operations: ['55-49=6']\nExploring Operation: 90-6=84, Resulting Numbers: [66, 84]\nGenerated Node #0,5,1: 79:[66, 84] Operation: 90-6=84\nMoving to Node #0,5,1\nCurrent State: 79:[66, 84], Operations: ['55-49=6', '90-6=84']\nExploring Operation: 84-66=18, Resulting Numbers: [18]\n18,79 unequal: No Solution\nMoving to Node #0,5,1\nCurrent State: 79:[66, 84], Operations: ['55-49=6', '90-6=84']\nExploring Operation: 66+84=150, Resulting Numbers: [150]\n150,79 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 79:[66, 90, 6], Operations: ['55-49=6']\nExploring Operation: 66-6=60, Resulting Numbers: [90, 60]\nGenerated Node #0,5,2: 79:[90, 60] Operation: 66-6=60\nMoving to Node #0,5,2\nCurrent State: 79:[90, 60], Operations: ['55-49=6', '66-6=60']\nExploring Operation: 90-60=30, Resulting Numbers: [30]\n30,79 unequal: No Solution\nMoving to Node #0,5,2\nCurrent State: 79:[90, 60], Operations: ['55-49=6', '66-6=60']\nExploring Operation: 90+60=150, Resulting Numbers: [150]\n150,79 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 79:[66, 90, 6], Operations: ['55-49=6']\nExploring Operation: 90+6=96, Resulting Numbers: [66, 96]\nGenerated Node #0,5,3: 79:[66, 96] Operation: 90+6=96\nMoving to Node #0,5,3\nCurrent State: 79:[66, 96], Operations: ['55-49=6', '90+6=96']\nExploring Operation: 96-66=30, Resulting Numbers: [30]\n30,79 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 79:[66, 90, 6], Operations: ['55-49=6']\nExploring Operation: 90/6=15, Resulting Numbers: [66, 15]\nGenerated Node #0,5,4: 79:[66, 15] Operation: 90/6=15\nMoving to Node #0,5,4\nCurrent State: 79:[66, 15], Operations: ['55-49=6', '90/6=15']\nExploring Operation: 66+15=81, Resulting Numbers: [81]\n81,79 unequal: No Solution\nMoving to Node #0,5,4\nCurrent State: 79:[66, 15], Operations: ['55-49=6', '90/6=15']\nExploring Operation: 66-15=51, Resulting Numbers: [51]\n51,79 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 79:[66, 90, 6], Operations: ['55-49=6']\nExploring Operation: 66/6=11, Resulting Numbers: [90, 11]\nGenerated Node #0,5,5: 79:[90, 11] Operation: 66/6=11\nMoving to Node #0,5,5\nCurrent State: 79:[90, 11], Operations: ['55-49=6', '66/6=11']\nExploring Operation: 90-11=79, Resulting Numbers: [79]\n79,79 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [70, 96, 10, 40] using the four basic arithmetic operations (+, -, *, /) to reach 63.",
"role": "user"
},
{
"content": "Current State: 63:[70, 96, 10, 40], Operations: []\nExploring Operation: 96-10=86, Resulting Numbers: [70, 40, 86]\nGenerated Node #0,0: 63:[70, 40, 86] Operation: 96-10=86\nMoving to Node #0,0\nCurrent State: 63:[70, 40, 86], Operations: ['96-10=86']\nExploring Operation: 86-40=46, Resulting Numbers: [70, 46]\nGenerated Node #0,0,0: 63:[70, 46] Operation: 86-40=46\nMoving to Node #0,0,0\nCurrent State: 63:[70, 46], Operations: ['96-10=86', '86-40=46']\nExploring Operation: 70-46=24, Resulting Numbers: [24]\n24,63 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 63:[70, 46], Operations: ['96-10=86', '86-40=46']\nExploring Operation: 70+46=116, Resulting Numbers: [116]\n116,63 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 63:[70, 40, 86], Operations: ['96-10=86']\nExploring Operation: 70-40=30, Resulting Numbers: [86, 30]\nGenerated Node #0,0,1: 63:[86, 30] Operation: 70-40=30\nMoving to Node #0,0,1\nCurrent State: 63:[86, 30], Operations: ['96-10=86', '70-40=30']\nExploring Operation: 86-30=56, Resulting Numbers: [56]\n56,63 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 63:[86, 30], Operations: ['96-10=86', '70-40=30']\nExploring Operation: 86+30=116, Resulting Numbers: [116]\n116,63 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 63:[70, 40, 86], Operations: ['96-10=86']\nExploring Operation: 70+40=110, Resulting Numbers: [86, 110]\nGenerated Node #0,0,2: 63:[86, 110] Operation: 70+40=110\nMoving to Node #0,0,2\nCurrent State: 63:[86, 110], Operations: ['96-10=86', '70+40=110']\nExploring Operation: 110-86=24, Resulting Numbers: [24]\n24,63 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 63:[70, 40, 86], Operations: ['96-10=86']\nExploring Operation: 86-70=16, Resulting Numbers: [40, 16]\nGenerated Node #0,0,3: 63:[40, 16] Operation: 86-70=16\nMoving to Node #0,0,3\nCurrent State: 63:[40, 16], Operations: ['96-10=86', '86-70=16']\nExploring Operation: 40+16=56, Resulting Numbers: [56]\n56,63 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 63:[40, 16], Operations: ['96-10=86', '86-70=16']\nExploring Operation: 40-16=24, Resulting Numbers: [24]\n24,63 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 63:[70, 40, 86], Operations: ['96-10=86']\nExploring Operation: 40+86=126, Resulting Numbers: [70, 126]\nGenerated Node #0,0,4: 63:[70, 126] Operation: 40+86=126\nMoving to Node #0,0,4\nCurrent State: 63:[70, 126], Operations: ['96-10=86', '40+86=126']\nExploring Operation: 126-70=56, Resulting Numbers: [56]\n56,63 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 63:[70, 40, 86], Operations: ['96-10=86']\nExploring Operation: 70+86=156, Resulting Numbers: [40, 156]\nGenerated Node #0,0,5: 63:[40, 156] Operation: 70+86=156\nMoving to Node #0,0,5\nCurrent State: 63:[40, 156], Operations: ['96-10=86', '70+86=156']\nExploring Operation: 156-40=116, Resulting Numbers: [116]\n116,63 unequal: No Solution\nMoving to Node #0\nCurrent State: 63:[70, 96, 10, 40], Operations: []\nExploring Operation: 10+40=50, Resulting Numbers: [70, 96, 50]\nGenerated Node #0,1: 63:[70, 96, 50] Operation: 10+40=50\nMoving to Node #0,1\nCurrent State: 63:[70, 96, 50], Operations: ['10+40=50']\nExploring Operation: 96-50=46, Resulting Numbers: [70, 46]\nGenerated Node #0,1,0: 63:[70, 46] Operation: 96-50=46\nMoving to Node #0,1,0\nCurrent State: 63:[70, 46], Operations: ['10+40=50', '96-50=46']\nExploring Operation: 70-46=24, Resulting Numbers: [24]\n24,63 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 63:[70, 46], Operations: ['10+40=50', '96-50=46']\nExploring Operation: 70+46=116, Resulting Numbers: [116]\n116,63 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 63:[70, 96, 50], Operations: ['10+40=50']\nExploring Operation: 96-70=26, Resulting Numbers: [50, 26]\nGenerated Node #0,1,1: 63:[50, 26] Operation: 96-70=26\nMoving to Node #0,1,1\nCurrent State: 63:[50, 26], Operations: ['10+40=50', '96-70=26']\nExploring Operation: 50+26=76, Resulting Numbers: [76]\n76,63 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 63:[50, 26], Operations: ['10+40=50', '96-70=26']\nExploring Operation: 50-26=24, Resulting Numbers: [24]\n24,63 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 63:[70, 96, 50], Operations: ['10+40=50']\nExploring Operation: 70-50=20, Resulting Numbers: [96, 20]\nGenerated Node #0,1,2: 63:[96, 20] Operation: 70-50=20\nMoving to Node #0,1,2\nCurrent State: 63:[96, 20], Operations: ['10+40=50', '70-50=20']\nExploring Operation: 96-20=76, Resulting Numbers: [76]\n76,63 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 63:[96, 20], Operations: ['10+40=50', '70-50=20']\nExploring Operation: 96+20=116, Resulting Numbers: [116]\n116,63 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 63:[70, 96, 50], Operations: ['10+40=50']\nExploring Operation: 70+50=120, Resulting Numbers: [96, 120]\nGenerated Node #0,1,3: 63:[96, 120] Operation: 70+50=120\nMoving to Node #0,1,3\nCurrent State: 63:[96, 120], Operations: ['10+40=50', '70+50=120']\nExploring Operation: 120-96=24, Resulting Numbers: [24]\n24,63 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 63:[70, 96, 50], Operations: ['10+40=50']\nExploring Operation: 96+50=146, Resulting Numbers: [70, 146]\nGenerated Node #0,1,4: 63:[70, 146] Operation: 96+50=146\nMoving to Node #0,1,4\nCurrent State: 63:[70, 146], Operations: ['10+40=50', '96+50=146']\nExploring Operation: 146-70=76, Resulting Numbers: [76]\n76,63 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 63:[70, 96, 50], Operations: ['10+40=50']\nExploring Operation: 70+96=166, Resulting Numbers: [50, 166]\nGenerated Node #0,1,5: 63:[50, 166] Operation: 70+96=166\nMoving to Node #0,1,5\nCurrent State: 63:[50, 166], Operations: ['10+40=50', '70+96=166']\nExploring Operation: 166-50=116, Resulting Numbers: [116]\n116,63 unequal: No Solution\nMoving to Node #0\nCurrent State: 63:[70, 96, 10, 40], Operations: []\nExploring Operation: 70-10=60, Resulting Numbers: [96, 40, 60]\nGenerated Node #0,2: 63:[96, 40, 60] Operation: 70-10=60\nMoving to Node #0,2\nCurrent State: 63:[96, 40, 60], Operations: ['70-10=60']\nExploring Operation: 96-40=56, Resulting Numbers: [60, 56]\nGenerated Node #0,2,0: 63:[60, 56] Operation: 96-40=56\nMoving to Node #0,2,0\nCurrent State: 63:[60, 56], Operations: ['70-10=60', '96-40=56']\nExploring Operation: 60+56=116, Resulting Numbers: [116]\n116,63 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 63:[60, 56], Operations: ['70-10=60', '96-40=56']\nExploring Operation: 60-56=4, Resulting Numbers: [4]\n4,63 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 63:[96, 40, 60], Operations: ['70-10=60']\nExploring Operation: 96-60=36, Resulting Numbers: [40, 36]\nGenerated Node #0,2,1: 63:[40, 36] Operation: 96-60=36\nMoving to Node #0,2,1\nCurrent State: 63:[40, 36], Operations: ['70-10=60', '96-60=36']\nExploring Operation: 40+36=76, Resulting Numbers: [76]\n76,63 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 63:[40, 36], Operations: ['70-10=60', '96-60=36']\nExploring Operation: 40-36=4, Resulting Numbers: [4]\n4,63 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 63:[96, 40, 60], Operations: ['70-10=60']\nExploring Operation: 40+60=100, Resulting Numbers: [96, 100]\nGenerated Node #0,2,2: 63:[96, 100] Operation: 40+60=100\nMoving to Node #0,2,2\nCurrent State: 63:[96, 100], Operations: ['70-10=60', '40+60=100']\nExploring Operation: 100-96=4, Resulting Numbers: [4]\n4,63 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 63:[96, 40, 60], Operations: ['70-10=60']\nExploring Operation: 96+40=136, Resulting Numbers: [60, 136]\nGenerated Node #0,2,3: 63:[60, 136] Operation: 96+40=136\nMoving to Node #0,2,3\nCurrent State: 63:[60, 136], Operations: ['70-10=60', '96+40=136']\nExploring Operation: 136-60=76, Resulting Numbers: [76]\n76,63 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 63:[96, 40, 60], Operations: ['70-10=60']\nExploring Operation: 60-40=20, Resulting Numbers: [96, 20]\nGenerated Node #0,2,4: 63:[96, 20] Operation: 60-40=20\nMoving to Node #0,2,4\nCurrent State: 63:[96, 20], Operations: ['70-10=60', '60-40=20']\nExploring Operation: 96-20=76, Resulting Numbers: [76]\n76,63 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 63:[96, 20], Operations: ['70-10=60', '60-40=20']\nExploring Operation: 96+20=116, Resulting Numbers: [116]\n116,63 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 63:[96, 40, 60], Operations: ['70-10=60']\nExploring Operation: 96+60=156, Resulting Numbers: [40, 156]\nGenerated Node #0,2,5: 63:[40, 156] Operation: 96+60=156\nMoving to Node #0,2,5\nCurrent State: 63:[40, 156], Operations: ['70-10=60', '96+60=156']\nExploring Operation: 156-40=116, Resulting Numbers: [116]\n116,63 unequal: No Solution\nMoving to Node #0\nCurrent State: 63:[70, 96, 10, 40], Operations: []\nExploring Operation: 96-40=56, Resulting Numbers: [70, 10, 56]\nGenerated Node #0,3: 63:[70, 10, 56] Operation: 96-40=56\nMoving to Node #0,3\nCurrent State: 63:[70, 10, 56], Operations: ['96-40=56']\nExploring Operation: 70-10=60, Resulting Numbers: [56, 60]\nGenerated Node #0,3,0: 63:[56, 60] Operation: 70-10=60\nMoving to Node #0,3,0\nCurrent State: 63:[56, 60], Operations: ['96-40=56', '70-10=60']\nExploring Operation: 56+60=116, Resulting Numbers: [116]\n116,63 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 63:[56, 60], Operations: ['96-40=56', '70-10=60']\nExploring Operation: 60-56=4, Resulting Numbers: [4]\n4,63 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 63:[70, 10, 56], Operations: ['96-40=56']\nExploring Operation: 10+56=66, Resulting Numbers: [70, 66]\nGenerated Node #0,3,1: 63:[70, 66] Operation: 10+56=66\nMoving to Node #0,3,1\nCurrent State: 63:[70, 66], Operations: ['96-40=56', '10+56=66']\nExploring Operation: 70-66=4, Resulting Numbers: [4]\n4,63 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 63:[70, 10, 56], Operations: ['96-40=56']\nExploring Operation: 70+10=80, Resulting Numbers: [56, 80]\nGenerated Node #0,3,2: 63:[56, 80] Operation: 70+10=80\nMoving to Node #0,3,2\nCurrent State: 63:[56, 80], Operations: ['96-40=56', '70+10=80']\nExploring Operation: 80-56=24, Resulting Numbers: [24]\n24,63 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 63:[70, 10, 56], Operations: ['96-40=56']\nExploring Operation: 56-10=46, Resulting Numbers: [70, 46]\nGenerated Node #0,3,3: 63:[70, 46] Operation: 56-10=46\nMoving to Node #0,3,3\nCurrent State: 63:[70, 46], Operations: ['96-40=56', '56-10=46']\nExploring Operation: 70-46=24, Resulting Numbers: [24]\n24,63 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 63:[70, 46], Operations: ['96-40=56', '56-10=46']\nExploring Operation: 70+46=116, Resulting Numbers: [116]\n116,63 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 63:[70, 10, 56], Operations: ['96-40=56']\nExploring Operation: 70/10=7, Resulting Numbers: [56, 7]\nGenerated Node #0,3,4: 63:[56, 7] Operation: 70/10=7\nMoving to Node #0,3,4\nCurrent State: 63:[56, 7], Operations: ['96-40=56', '70/10=7']\nExploring Operation: 56+7=63, Resulting Numbers: [63]\n63,63 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [77, 93, 44, 91] using the four basic arithmetic operations (+, -, *, /) to reach 55.",
"role": "user"
},
{
"content": "Current State: 55:[77, 93, 44, 91], Operations: []\nExploring Operation: 91-44=47, Resulting Numbers: [77, 93, 47]\nGenerated Node #0,0: 55:[77, 93, 47] Operation: 91-44=47\nExploring Operation: 93-44=49, Resulting Numbers: [77, 91, 49]\nGenerated Node #0,1: 55:[77, 91, 49] Operation: 93-44=49\nMoving to Node #0,1\nCurrent State: 55:[77, 91, 49], Operations: ['93-44=49']\nExploring Operation: 91-77=14, Resulting Numbers: [49, 14]\nGenerated Node #0,1,0: 55:[49, 14] Operation: 91-77=14\nExploring Operation: 91-49=42, Resulting Numbers: [77, 42]\nGenerated Node #0,1,1: 55:[77, 42] Operation: 91-49=42\nMoving to Node #0,0\nCurrent State: 55:[77, 93, 47], Operations: ['91-44=47']\nExploring Operation: 93-47=46, Resulting Numbers: [77, 46]\nGenerated Node #0,0,0: 55:[77, 46] Operation: 93-47=46\nExploring Operation: 93-77=16, Resulting Numbers: [47, 16]\nGenerated Node #0,0,1: 55:[47, 16] Operation: 93-77=16\nMoving to Node #0,0,0\nCurrent State: 55:[77, 46], Operations: ['91-44=47', '93-47=46']\nExploring Operation: 77+46=123, Resulting Numbers: [123]\n123,55 unequal: No Solution\nExploring Operation: 77-46=31, Resulting Numbers: [31]\n31,55 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 55:[77, 42], Operations: ['93-44=49', '91-49=42']\nExploring Operation: 77+42=119, Resulting Numbers: [119]\n119,55 unequal: No Solution\nExploring Operation: 77-42=35, Resulting Numbers: [35]\n35,55 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 55:[49, 14], Operations: ['93-44=49', '91-77=14']\nExploring Operation: 49-14=35, Resulting Numbers: [35]\n35,55 unequal: No Solution\nExploring Operation: 49+14=63, Resulting Numbers: [63]\n63,55 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 55:[47, 16], Operations: ['91-44=47', '93-77=16']\nExploring Operation: 47+16=63, Resulting Numbers: [63]\n63,55 unequal: No Solution\nExploring Operation: 47-16=31, Resulting Numbers: [31]\n31,55 unequal: No Solution\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [97, 10, 59, 63] using the four basic arithmetic operations (+, -, *, /) to reach 35.",
"role": "user"
},
{
"content": "Current State: 35:[97, 10, 59, 63], Operations: []\nExploring Operation: 97-59=38, Resulting Numbers: [10, 63, 38]\nGenerated Node #0,0: 35:[10, 63, 38] Operation: 97-59=38\nExploring Operation: 97-63=34, Resulting Numbers: [10, 59, 34]\nGenerated Node #0,1: 35:[10, 59, 34] Operation: 97-63=34\nMoving to Node #0,1\nCurrent State: 35:[10, 59, 34], Operations: ['97-63=34']\nExploring Operation: 59-34=25, Resulting Numbers: [10, 25]\nGenerated Node #0,1,0: 35:[10, 25] Operation: 59-34=25\nExploring Operation: 59-10=49, Resulting Numbers: [34, 49]\nGenerated Node #0,1,1: 35:[34, 49] Operation: 59-10=49\nMoving to Node #0,0\nCurrent State: 35:[10, 63, 38], Operations: ['97-59=38']\nExploring Operation: 63-38=25, Resulting Numbers: [10, 25]\nGenerated Node #0,0,0: 35:[10, 25] Operation: 63-38=25\nExploring Operation: 63-10=53, Resulting Numbers: [38, 53]\nGenerated Node #0,0,1: 35:[38, 53] Operation: 63-10=53\nMoving to Node #0,1,0\nCurrent State: 35:[10, 25], Operations: ['97-63=34', '59-34=25']\nExploring Operation: 10+25=35, Resulting Numbers: [35]\n35,35 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [64, 43, 33, 98] using the four basic arithmetic operations (+, -, *, /) to reach 86.",
"role": "user"
},
{
"content": "Current State: 86:[64, 43, 33, 98], Operations: []\nExploring Operation: 43+33=76, Resulting Numbers: [64, 98, 76]\nGenerated Node #0,0: 86:[64, 98, 76] Operation: 43+33=76\nMoving to Node #0,0\nCurrent State: 86:[64, 98, 76], Operations: ['43+33=76']\nExploring Operation: 98-64=34, Resulting Numbers: [76, 34]\nGenerated Node #0,0,0: 86:[76, 34] Operation: 98-64=34\nMoving to Node #0,0,0\nCurrent State: 86:[76, 34], Operations: ['43+33=76', '98-64=34']\nExploring Operation: 76+34=110, Resulting Numbers: [110]\n110,86 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 86:[76, 34], Operations: ['43+33=76', '98-64=34']\nExploring Operation: 76-34=42, Resulting Numbers: [42]\n42,86 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 86:[64, 98, 76], Operations: ['43+33=76']\nExploring Operation: 64+76=140, Resulting Numbers: [98, 140]\nGenerated Node #0,0,1: 86:[98, 140] Operation: 64+76=140\nMoving to Node #0,0,1\nCurrent State: 86:[98, 140], Operations: ['43+33=76', '64+76=140']\nExploring Operation: 140-98=42, Resulting Numbers: [42]\n42,86 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 86:[64, 98, 76], Operations: ['43+33=76']\nExploring Operation: 64+98=162, Resulting Numbers: [76, 162]\nGenerated Node #0,0,2: 86:[76, 162] Operation: 64+98=162\nMoving to Node #0,0,2\nCurrent State: 86:[76, 162], Operations: ['43+33=76', '64+98=162']\nExploring Operation: 162-76=86, Resulting Numbers: [86]\n86,86 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [47, 51, 74, 4] using the four basic arithmetic operations (+, -, *, /) to reach 20.",
"role": "user"
},
{
"content": "Current State: 20:[47, 51, 74, 4], Operations: []\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [53, 35, 64, 22] using the four basic arithmetic operations (+, -, *, /) to reach 37.",
"role": "user"
},
{
"content": "Current State: 37:[53, 35, 64, 22], Operations: []\nExploring Operation: 64-22=42, Resulting Numbers: [53, 35, 42]\nGenerated Node #0,0: 37:[53, 35, 42] Operation: 64-22=42\nMoving to Node #0,0\nCurrent State: 37:[53, 35, 42], Operations: ['64-22=42']\nExploring Operation: 53-35=18, Resulting Numbers: [42, 18]\nGenerated Node #0,0,0: 37:[42, 18] Operation: 53-35=18\nMoving to Node #0,0,0\nCurrent State: 37:[42, 18], Operations: ['64-22=42', '53-35=18']\nExploring Operation: 42-18=24, Resulting Numbers: [24]\n24,37 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 37:[42, 18], Operations: ['64-22=42', '53-35=18']\nExploring Operation: 42+18=60, Resulting Numbers: [60]\n60,37 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 37:[53, 35, 42], Operations: ['64-22=42']\nExploring Operation: 53-42=11, Resulting Numbers: [35, 11]\nGenerated Node #0,0,1: 37:[35, 11] Operation: 53-42=11\nMoving to Node #0,0,1\nCurrent State: 37:[35, 11], Operations: ['64-22=42', '53-42=11']\nExploring Operation: 35+11=46, Resulting Numbers: [46]\n46,37 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 37:[35, 11], Operations: ['64-22=42', '53-42=11']\nExploring Operation: 35-11=24, Resulting Numbers: [24]\n24,37 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 37:[53, 35, 42], Operations: ['64-22=42']\nExploring Operation: 42-35=7, Resulting Numbers: [53, 7]\nGenerated Node #0,0,2: 37:[53, 7] Operation: 42-35=7\nMoving to Node #0,0,2\nCurrent State: 37:[53, 7], Operations: ['64-22=42', '42-35=7']\nExploring Operation: 53-7=46, Resulting Numbers: [46]\n46,37 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 37:[53, 7], Operations: ['64-22=42', '42-35=7']\nExploring Operation: 53+7=60, Resulting Numbers: [60]\n60,37 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 37:[53, 35, 42], Operations: ['64-22=42']\nExploring Operation: 53+35=88, Resulting Numbers: [42, 88]\nGenerated Node #0,0,3: 37:[42, 88] Operation: 53+35=88\nMoving to Node #0,0,3\nCurrent State: 37:[42, 88], Operations: ['64-22=42', '53+35=88']\nExploring Operation: 88-42=46, Resulting Numbers: [46]\n46,37 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 37:[53, 35, 42], Operations: ['64-22=42']\nExploring Operation: 35+42=77, Resulting Numbers: [53, 77]\nGenerated Node #0,0,4: 37:[53, 77] Operation: 35+42=77\nMoving to Node #0,0,4\nCurrent State: 37:[53, 77], Operations: ['64-22=42', '35+42=77']\nExploring Operation: 77-53=24, Resulting Numbers: [24]\n24,37 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 37:[53, 35, 42], Operations: ['64-22=42']\nExploring Operation: 53+42=95, Resulting Numbers: [35, 95]\nGenerated Node #0,0,5: 37:[35, 95] Operation: 53+42=95\nMoving to Node #0,0,5\nCurrent State: 37:[35, 95], Operations: ['64-22=42', '53+42=95']\nExploring Operation: 95-35=60, Resulting Numbers: [60]\n60,37 unequal: No Solution\nMoving to Node #0\nCurrent State: 37:[53, 35, 64, 22], Operations: []\nExploring Operation: 53-22=31, Resulting Numbers: [35, 64, 31]\nGenerated Node #0,1: 37:[35, 64, 31] Operation: 53-22=31\nMoving to Node #0,1\nCurrent State: 37:[35, 64, 31], Operations: ['53-22=31']\nExploring Operation: 64-31=33, Resulting Numbers: [35, 33]\nGenerated Node #0,1,0: 37:[35, 33] Operation: 64-31=33\nMoving to Node #0,1,0\nCurrent State: 37:[35, 33], Operations: ['53-22=31', '64-31=33']\nExploring Operation: 35+33=68, Resulting Numbers: [68]\n68,37 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 37:[35, 33], Operations: ['53-22=31', '64-31=33']\nExploring Operation: 35-33=2, Resulting Numbers: [2]\n2,37 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 37:[35, 64, 31], Operations: ['53-22=31']\nExploring Operation: 64-35=29, Resulting Numbers: [31, 29]\nGenerated Node #0,1,1: 37:[31, 29] Operation: 64-35=29\nMoving to Node #0,1,1\nCurrent State: 37:[31, 29], Operations: ['53-22=31', '64-35=29']\nExploring Operation: 31+29=60, Resulting Numbers: [60]\n60,37 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 37:[31, 29], Operations: ['53-22=31', '64-35=29']\nExploring Operation: 31-29=2, Resulting Numbers: [2]\n2,37 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 37:[35, 64, 31], Operations: ['53-22=31']\nExploring Operation: 35+31=66, Resulting Numbers: [64, 66]\nGenerated Node #0,1,2: 37:[64, 66] Operation: 35+31=66\nMoving to Node #0,1,2\nCurrent State: 37:[64, 66], Operations: ['53-22=31', '35+31=66']\nExploring Operation: 66-64=2, Resulting Numbers: [2]\n2,37 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 37:[35, 64, 31], Operations: ['53-22=31']\nExploring Operation: 35-31=4, Resulting Numbers: [64, 4]\nGenerated Node #0,1,3: 37:[64, 4] Operation: 35-31=4\nMoving to Node #0,1,3\nCurrent State: 37:[64, 4], Operations: ['53-22=31', '35-31=4']\nExploring Operation: 64/4=16, Resulting Numbers: [16]\n16,37 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 37:[64, 4], Operations: ['53-22=31', '35-31=4']\nExploring Operation: 64-4=60, Resulting Numbers: [60]\n60,37 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 37:[64, 4], Operations: ['53-22=31', '35-31=4']\nExploring Operation: 64+4=68, Resulting Numbers: [68]\n68,37 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 37:[35, 64, 31], Operations: ['53-22=31']\nExploring Operation: 64+31=95, Resulting Numbers: [35, 95]\nGenerated Node #0,1,4: 37:[35, 95] Operation: 64+31=95\nMoving to Node #0,1,4\nCurrent State: 37:[35, 95], Operations: ['53-22=31', '64+31=95']\nExploring Operation: 95-35=60, Resulting Numbers: [60]\n60,37 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 37:[35, 64, 31], Operations: ['53-22=31']\nExploring Operation: 35+64=99, Resulting Numbers: [31, 99]\nGenerated Node #0,1,5: 37:[31, 99] Operation: 35+64=99\nMoving to Node #0,1,5\nCurrent State: 37:[31, 99], Operations: ['53-22=31', '35+64=99']\nExploring Operation: 99-31=68, Resulting Numbers: [68]\n68,37 unequal: No Solution\nMoving to Node #0\nCurrent State: 37:[53, 35, 64, 22], Operations: []\nExploring Operation: 64-35=29, Resulting Numbers: [53, 22, 29]\nGenerated Node #0,2: 37:[53, 22, 29] Operation: 64-35=29\nMoving to Node #0,2\nCurrent State: 37:[53, 22, 29], Operations: ['64-35=29']\nExploring Operation: 53-22=31, Resulting Numbers: [29, 31]\nGenerated Node #0,2,0: 37:[29, 31] Operation: 53-22=31\nMoving to Node #0,2,0\nCurrent State: 37:[29, 31], Operations: ['64-35=29', '53-22=31']\nExploring Operation: 29+31=60, Resulting Numbers: [60]\n60,37 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 37:[29, 31], Operations: ['64-35=29', '53-22=31']\nExploring Operation: 31-29=2, Resulting Numbers: [2]\n2,37 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 37:[53, 22, 29], Operations: ['64-35=29']\nExploring Operation: 53-29=24, Resulting Numbers: [22, 24]\nGenerated Node #0,2,1: 37:[22, 24] Operation: 53-29=24\nMoving to Node #0,2,1\nCurrent State: 37:[22, 24], Operations: ['64-35=29', '53-29=24']\nExploring Operation: 22+24=46, Resulting Numbers: [46]\n46,37 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 37:[22, 24], Operations: ['64-35=29', '53-29=24']\nExploring Operation: 24-22=2, Resulting Numbers: [2]\n2,37 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 37:[53, 22, 29], Operations: ['64-35=29']\nExploring Operation: 22+29=51, Resulting Numbers: [53, 51]\nGenerated Node #0,2,2: 37:[53, 51] Operation: 22+29=51\nMoving to Node #0,2,2\nCurrent State: 37:[53, 51], Operations: ['64-35=29', '22+29=51']\nExploring Operation: 53-51=2, Resulting Numbers: [2]\n2,37 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 37:[53, 22, 29], Operations: ['64-35=29']\nExploring Operation: 53+22=75, Resulting Numbers: [29, 75]\nGenerated Node #0,2,3: 37:[29, 75] Operation: 53+22=75\nMoving to Node #0,2,3\nCurrent State: 37:[29, 75], Operations: ['64-35=29', '53+22=75']\nExploring Operation: 75-29=46, Resulting Numbers: [46]\n46,37 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 37:[53, 22, 29], Operations: ['64-35=29']\nExploring Operation: 29-22=7, Resulting Numbers: [53, 7]\nGenerated Node #0,2,4: 37:[53, 7] Operation: 29-22=7\nMoving to Node #0,2,4\nCurrent State: 37:[53, 7], Operations: ['64-35=29', '29-22=7']\nExploring Operation: 53-7=46, Resulting Numbers: [46]\n46,37 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 37:[53, 7], Operations: ['64-35=29', '29-22=7']\nExploring Operation: 53+7=60, Resulting Numbers: [60]\n60,37 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 37:[53, 22, 29], Operations: ['64-35=29']\nExploring Operation: 53+29=82, Resulting Numbers: [22, 82]\nGenerated Node #0,2,5: 37:[22, 82] Operation: 53+29=82\nMoving to Node #0,2,5\nCurrent State: 37:[22, 82], Operations: ['64-35=29', '53+29=82']\nExploring Operation: 82-22=60, Resulting Numbers: [60]\n60,37 unequal: No Solution\nMoving to Node #0\nCurrent State: 37:[53, 35, 64, 22], Operations: []\nExploring Operation: 64-53=11, Resulting Numbers: [35, 22, 11]\nGenerated Node #0,3: 37:[35, 22, 11] Operation: 64-53=11\nMoving to Node #0,3\nCurrent State: 37:[35, 22, 11], Operations: ['64-53=11']\nExploring Operation: 22+11=33, Resulting Numbers: [35, 33]\nGenerated Node #0,3,0: 37:[35, 33] Operation: 22+11=33\nMoving to Node #0,3,0\nCurrent State: 37:[35, 33], Operations: ['64-53=11', '22+11=33']\nExploring Operation: 35+33=68, Resulting Numbers: [68]\n68,37 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 37:[35, 33], Operations: ['64-53=11', '22+11=33']\nExploring Operation: 35-33=2, Resulting Numbers: [2]\n2,37 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 37:[35, 22, 11], Operations: ['64-53=11']\nExploring Operation: 35+11=46, Resulting Numbers: [22, 46]\nGenerated Node #0,3,1: 37:[22, 46] Operation: 35+11=46\nMoving to Node #0,3,1\nCurrent State: 37:[22, 46], Operations: ['64-53=11', '35+11=46']\nExploring Operation: 46-22=24, Resulting Numbers: [24]\n24,37 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 37:[22, 46], Operations: ['64-53=11', '35+11=46']\nExploring Operation: 22+46=68, Resulting Numbers: [68]\n68,37 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 37:[35, 22, 11], Operations: ['64-53=11']\nExploring Operation: 35-11=24, Resulting Numbers: [22, 24]\nGenerated Node #0,3,2: 37:[22, 24] Operation: 35-11=24\nMoving to Node #0,3,2\nCurrent State: 37:[22, 24], Operations: ['64-53=11', '35-11=24']\nExploring Operation: 22+24=46, Resulting Numbers: [46]\n46,37 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 37:[22, 24], Operations: ['64-53=11', '35-11=24']\nExploring Operation: 24-22=2, Resulting Numbers: [2]\n2,37 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 37:[35, 22, 11], Operations: ['64-53=11']\nExploring Operation: 22-11=11, Resulting Numbers: [35, 11]\nGenerated Node #0,3,3: 37:[35, 11] Operation: 22-11=11\nMoving to Node #0,3,3\nCurrent State: 37:[35, 11], Operations: ['64-53=11', '22-11=11']\nExploring Operation: 35+11=46, Resulting Numbers: [46]\n46,37 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 37:[35, 11], Operations: ['64-53=11', '22-11=11']\nExploring Operation: 35-11=24, Resulting Numbers: [24]\n24,37 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 37:[35, 22, 11], Operations: ['64-53=11']\nExploring Operation: 22/11=2, Resulting Numbers: [35, 2]\nGenerated Node #0,3,4: 37:[35, 2] Operation: 22/11=2\nMoving to Node #0,3,4\nCurrent State: 37:[35, 2], Operations: ['64-53=11', '22/11=2']\nExploring Operation: 35+2=37, Resulting Numbers: [37]\n37,37 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [36, 72, 58, 10] using the four basic arithmetic operations (+, -, *, /) to reach 50.",
"role": "user"
},
{
"content": "Current State: 50:[36, 72, 58, 10], Operations: []\nExploring Operation: 72-36=36, Resulting Numbers: [58, 10, 36]\nGenerated Node #0,0: 50:[58, 10, 36] Operation: 72-36=36\nExploring Operation: 36-10=26, Resulting Numbers: [72, 58, 26]\nGenerated Node #0,1: 50:[72, 58, 26] Operation: 36-10=26\nExploring Operation: 72/36=2, Resulting Numbers: [58, 10, 2]\nGenerated Node #0,2: 50:[58, 10, 2] Operation: 72/36=2\nExploring Operation: 72-58=14, Resulting Numbers: [36, 10, 14]\nGenerated Node #0,3: 50:[36, 10, 14] Operation: 72-58=14\nExploring Operation: 58-36=22, Resulting Numbers: [72, 10, 22]\nGenerated Node #0,4: 50:[72, 10, 22] Operation: 58-36=22\nMoving to Node #0,2\nCurrent State: 50:[58, 10, 2], Operations: ['72/36=2']\nExploring Operation: 58-10=48, Resulting Numbers: [2, 48]\nGenerated Node #0,2,0: 50:[2, 48] Operation: 58-10=48\nExploring Operation: 10/2=5, Resulting Numbers: [58, 5]\nGenerated Node #0,2,1: 50:[58, 5] Operation: 10/2=5\nExploring Operation: 58/2=29, Resulting Numbers: [10, 29]\nGenerated Node #0,2,2: 50:[10, 29] Operation: 58/2=29\nExploring Operation: 58+2=60, Resulting Numbers: [10, 60]\nGenerated Node #0,2,3: 50:[10, 60] Operation: 58+2=60\nExploring Operation: 58-2=56, Resulting Numbers: [10, 56]\nGenerated Node #0,2,4: 50:[10, 56] Operation: 58-2=56\nMoving to Node #0,3\nCurrent State: 50:[36, 10, 14], Operations: ['72-58=14']\nExploring Operation: 36-14=22, Resulting Numbers: [10, 22]\nGenerated Node #0,3,0: 50:[10, 22] Operation: 36-14=22\nExploring Operation: 36+10=46, Resulting Numbers: [14, 46]\nGenerated Node #0,3,1: 50:[14, 46] Operation: 36+10=46\nExploring Operation: 10+14=24, Resulting Numbers: [36, 24]\nGenerated Node #0,3,2: 50:[36, 24] Operation: 10+14=24\nExploring Operation: 36+14=50, Resulting Numbers: [10, 50]\nGenerated Node #0,3,3: 50:[10, 50] Operation: 36+14=50\nExploring Operation: 36-10=26, Resulting Numbers: [14, 26]\nGenerated Node #0,3,4: 50:[14, 26] Operation: 36-10=26\nMoving to Node #0,0\nCurrent State: 50:[58, 10, 36], Operations: ['72-36=36']\nExploring Operation: 36-10=26, Resulting Numbers: [58, 26]\nGenerated Node #0,0,0: 50:[58, 26] Operation: 36-10=26\nExploring Operation: 58-36=22, Resulting Numbers: [10, 22]\nGenerated Node #0,0,1: 50:[10, 22] Operation: 58-36=22\nExploring Operation: 58+10=68, Resulting Numbers: [36, 68]\nGenerated Node #0,0,2: 50:[36, 68] Operation: 58+10=68\nExploring Operation: 10+36=46, Resulting Numbers: [58, 46]\nGenerated Node #0,0,3: 50:[58, 46] Operation: 10+36=46\nExploring Operation: 58-10=48, Resulting Numbers: [36, 48]\nGenerated Node #0,0,4: 50:[36, 48] Operation: 58-10=48\nMoving to Node #0,4\nCurrent State: 50:[72, 10, 22], Operations: ['58-36=22']\nExploring Operation: 22-10=12, Resulting Numbers: [72, 12]\nGenerated Node #0,4,0: 50:[72, 12] Operation: 22-10=12\nExploring Operation: 72+10=82, Resulting Numbers: [22, 82]\nGenerated Node #0,4,1: 50:[22, 82] Operation: 72+10=82\nExploring Operation: 10+22=32, Resulting Numbers: [72, 32]\nGenerated Node #0,4,2: 50:[72, 32] Operation: 10+22=32\nExploring Operation: 72-22=50, Resulting Numbers: [10, 50]\nGenerated Node #0,4,3: 50:[10, 50] Operation: 72-22=50\nExploring Operation: 72-10=62, Resulting Numbers: [22, 62]\nGenerated Node #0,4,4: 50:[22, 62] Operation: 72-10=62\nMoving to Node #0,1\nCurrent State: 50:[72, 58, 26], Operations: ['36-10=26']\nExploring Operation: 72+26=98, Resulting Numbers: [58, 98]\nGenerated Node #0,1,0: 50:[58, 98] Operation: 72+26=98\nExploring Operation: 72-58=14, Resulting Numbers: [26, 14]\nGenerated Node #0,1,1: 50:[26, 14] Operation: 72-58=14\nExploring Operation: 72-26=46, Resulting Numbers: [58, 46]\nGenerated Node #0,1,2: 50:[58, 46] Operation: 72-26=46\nExploring Operation: 58-26=32, Resulting Numbers: [72, 32]\nGenerated Node #0,1,3: 50:[72, 32] Operation: 58-26=32\nExploring Operation: 58+26=84, Resulting Numbers: [72, 84]\nGenerated Node #0,1,4: 50:[72, 84] Operation: 58+26=84\nMoving to Node #0,3,3\nCurrent State: 50:[10, 50], Operations: ['72-58=14', '36+14=50']\nExploring Operation: 50/10=5, Resulting Numbers: [5]\n5,50 unequal: No Solution\nExploring Operation: 50-10=40, Resulting Numbers: [40]\n40,50 unequal: No Solution\nExploring Operation: 10+50=60, Resulting Numbers: [60]\n60,50 unequal: No Solution\nExploring Operation: 10*50=500, Resulting Numbers: [500]\n500,50 unequal: No Solution\nMoving to Node #0,4,3\nCurrent State: 50:[10, 50], Operations: ['58-36=22', '72-22=50']\nExploring Operation: 10+50=60, Resulting Numbers: [60]\n60,50 unequal: No Solution\nExploring Operation: 50/10=5, Resulting Numbers: [5]\n5,50 unequal: No Solution\nExploring Operation: 50-10=40, Resulting Numbers: [40]\n40,50 unequal: No Solution\nExploring Operation: 10*50=500, Resulting Numbers: [500]\n500,50 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 50:[2, 48], Operations: ['72/36=2', '58-10=48']\nExploring Operation: 48/2=24, Resulting Numbers: [24]\n24,50 unequal: No Solution\nExploring Operation: 2+48=50, Resulting Numbers: [50]\n50,50 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [19, 29, 30, 79] using the four basic arithmetic operations (+, -, *, /) to reach 99.",
"role": "user"
},
{
"content": "Current State: 99:[19, 29, 30, 79], Operations: []\nExploring Operation: 19+79=98, Resulting Numbers: [29, 30, 98]\nGenerated Node #0,0: 99:[29, 30, 98] Operation: 19+79=98\nMoving to Node #0,0\nCurrent State: 99:[29, 30, 98], Operations: ['19+79=98']\nExploring Operation: 30-29=1, Resulting Numbers: [98, 1]\nGenerated Node #0,0,0: 99:[98, 1] Operation: 30-29=1\nMoving to Node #0,0,0\nCurrent State: 99:[98, 1], Operations: ['19+79=98', '30-29=1']\nExploring Operation: 98+1=99, Resulting Numbers: [99]\n99,99 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [60, 48, 21, 93] using the four basic arithmetic operations (+, -, *, /) to reach 28.",
"role": "user"
},
{
"content": "Current State: 28:[60, 48, 21, 93], Operations: []\nExploring Operation: 93-60=33, Resulting Numbers: [48, 21, 33]\nGenerated Node #0,0: 28:[48, 21, 33] Operation: 93-60=33\nMoving to Node #0,0\nCurrent State: 28:[48, 21, 33], Operations: ['93-60=33']\nExploring Operation: 48-21=27, Resulting Numbers: [33, 27]\nGenerated Node #0,0,0: 28:[33, 27] Operation: 48-21=27\nMoving to Node #0,0,0\nCurrent State: 28:[33, 27], Operations: ['93-60=33', '48-21=27']\nExploring Operation: 33-27=6, Resulting Numbers: [6]\n6,28 unequal: No Solution\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [41, 12, 4, 18] using the four basic arithmetic operations (+, -, *, /) to reach 56.",
"role": "user"
},
{
"content": "Current State: 56:[41, 12, 4, 18], Operations: []\nExploring Operation: 12*4=48, Resulting Numbers: [41, 18, 48]\nGenerated Node #0,0: 56:[41, 18, 48] Operation: 12*4=48\nMoving to Node #0,0\nCurrent State: 56:[41, 18, 48], Operations: ['12*4=48']\nExploring Operation: 41+18=59, Resulting Numbers: [48, 59]\nGenerated Node #0,0,0: 56:[48, 59] Operation: 41+18=59\nMoving to Node #0,0,0\nCurrent State: 56:[48, 59], Operations: ['12*4=48', '41+18=59']\nExploring Operation: 59-48=11, Resulting Numbers: [11]\n11,56 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 56:[48, 59], Operations: ['12*4=48', '41+18=59']\nExploring Operation: 48+59=107, Resulting Numbers: [107]\n107,56 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 56:[41, 18, 48], Operations: ['12*4=48']\nExploring Operation: 18+48=66, Resulting Numbers: [41, 66]\nGenerated Node #0,0,1: 56:[41, 66] Operation: 18+48=66\nMoving to Node #0,0,1\nCurrent State: 56:[41, 66], Operations: ['12*4=48', '18+48=66']\nExploring Operation: 66-41=25, Resulting Numbers: [25]\n25,56 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 56:[41, 66], Operations: ['12*4=48', '18+48=66']\nExploring Operation: 41+66=107, Resulting Numbers: [107]\n107,56 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 56:[41, 18, 48], Operations: ['12*4=48']\nExploring Operation: 41-18=23, Resulting Numbers: [48, 23]\nGenerated Node #0,0,2: 56:[48, 23] Operation: 41-18=23\nMoving to Node #0,0,2\nCurrent State: 56:[48, 23], Operations: ['12*4=48', '41-18=23']\nExploring Operation: 48+23=71, Resulting Numbers: [71]\n71,56 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 56:[48, 23], Operations: ['12*4=48', '41-18=23']\nExploring Operation: 48-23=25, Resulting Numbers: [25]\n25,56 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 56:[41, 18, 48], Operations: ['12*4=48']\nExploring Operation: 48-18=30, Resulting Numbers: [41, 30]\nGenerated Node #0,0,3: 56:[41, 30] Operation: 48-18=30\nMoving to Node #0,0,3\nCurrent State: 56:[41, 30], Operations: ['12*4=48', '48-18=30']\nExploring Operation: 41+30=71, Resulting Numbers: [71]\n71,56 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 56:[41, 30], Operations: ['12*4=48', '48-18=30']\nExploring Operation: 41-30=11, Resulting Numbers: [11]\n11,56 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 56:[41, 18, 48], Operations: ['12*4=48']\nExploring Operation: 41+48=89, Resulting Numbers: [18, 89]\nGenerated Node #0,0,4: 56:[18, 89] Operation: 41+48=89\nMoving to Node #0,0,4\nCurrent State: 56:[18, 89], Operations: ['12*4=48', '41+48=89']\nExploring Operation: 89-18=71, Resulting Numbers: [71]\n71,56 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 56:[18, 89], Operations: ['12*4=48', '41+48=89']\nExploring Operation: 18+89=107, Resulting Numbers: [107]\n107,56 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 56:[41, 18, 48], Operations: ['12*4=48']\nExploring Operation: 48-41=7, Resulting Numbers: [18, 7]\nGenerated Node #0,0,5: 56:[18, 7] Operation: 48-41=7\nMoving to Node #0,0,5\nCurrent State: 56:[18, 7], Operations: ['12*4=48', '48-41=7']\nExploring Operation: 18+7=25, Resulting Numbers: [25]\n25,56 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 56:[18, 7], Operations: ['12*4=48', '48-41=7']\nExploring Operation: 18-7=11, Resulting Numbers: [11]\n11,56 unequal: No Solution\nMoving to Node #0\nCurrent State: 56:[41, 12, 4, 18], Operations: []\nExploring Operation: 4*18=72, Resulting Numbers: [41, 12, 72]\nGenerated Node #0,1: 56:[41, 12, 72] Operation: 4*18=72\nMoving to Node #0,1\nCurrent State: 56:[41, 12, 72], Operations: ['4*18=72']\nExploring Operation: 41+12=53, Resulting Numbers: [72, 53]\nGenerated Node #0,1,0: 56:[72, 53] Operation: 41+12=53\nMoving to Node #0,1,0\nCurrent State: 56:[72, 53], Operations: ['4*18=72', '41+12=53']\nExploring Operation: 72-53=19, Resulting Numbers: [19]\n19,56 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 56:[41, 12, 72], Operations: ['4*18=72']\nExploring Operation: 72-12=60, Resulting Numbers: [41, 60]\nGenerated Node #0,1,1: 56:[41, 60] Operation: 72-12=60\nMoving to Node #0,1,1\nCurrent State: 56:[41, 60], Operations: ['4*18=72', '72-12=60']\nExploring Operation: 60-41=19, Resulting Numbers: [19]\n19,56 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 56:[41, 60], Operations: ['4*18=72', '72-12=60']\nExploring Operation: 41+60=101, Resulting Numbers: [101]\n101,56 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 56:[41, 12, 72], Operations: ['4*18=72']\nExploring Operation: 41-12=29, Resulting Numbers: [72, 29]\nGenerated Node #0,1,2: 56:[72, 29] Operation: 41-12=29\nMoving to Node #0,1,2\nCurrent State: 56:[72, 29], Operations: ['4*18=72', '41-12=29']\nExploring Operation: 72-29=43, Resulting Numbers: [43]\n43,56 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 56:[72, 29], Operations: ['4*18=72', '41-12=29']\nExploring Operation: 72+29=101, Resulting Numbers: [101]\n101,56 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 56:[41, 12, 72], Operations: ['4*18=72']\nExploring Operation: 12+72=84, Resulting Numbers: [41, 84]\nGenerated Node #0,1,3: 56:[41, 84] Operation: 12+72=84\nMoving to Node #0,1,3\nCurrent State: 56:[41, 84], Operations: ['4*18=72', '12+72=84']\nExploring Operation: 84-41=43, Resulting Numbers: [43]\n43,56 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 56:[41, 12, 72], Operations: ['4*18=72']\nExploring Operation: 72/12=6, Resulting Numbers: [41, 6]\nGenerated Node #0,1,4: 56:[41, 6] Operation: 72/12=6\nMoving to Node #0,1,4\nCurrent State: 56:[41, 6], Operations: ['4*18=72', '72/12=6']\nExploring Operation: 41+6=47, Resulting Numbers: [47]\n47,56 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 56:[41, 6], Operations: ['4*18=72', '72/12=6']\nExploring Operation: 41-6=35, Resulting Numbers: [35]\n35,56 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 56:[41, 12, 72], Operations: ['4*18=72']\nExploring Operation: 72-41=31, Resulting Numbers: [12, 31]\nGenerated Node #0,1,5: 56:[12, 31] Operation: 72-41=31\nMoving to Node #0,1,5\nCurrent State: 56:[12, 31], Operations: ['4*18=72', '72-41=31']\nExploring Operation: 12+31=43, Resulting Numbers: [43]\n43,56 unequal: No Solution\nMoving to Node #0,1,5\nCurrent State: 56:[12, 31], Operations: ['4*18=72', '72-41=31']\nExploring Operation: 31-12=19, Resulting Numbers: [19]\n19,56 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 56:[41, 12, 72], Operations: ['4*18=72']\nExploring Operation: 41+72=113, Resulting Numbers: [12, 113]\nGenerated Node #0,1,6: 56:[12, 113] Operation: 41+72=113\nMoving to Node #0,1,6\nCurrent State: 56:[12, 113], Operations: ['4*18=72', '41+72=113']\nExploring Operation: 113-12=101, Resulting Numbers: [101]\n101,56 unequal: No Solution\nMoving to Node #0\nCurrent State: 56:[41, 12, 4, 18], Operations: []\nExploring Operation: 41+12=53, Resulting Numbers: [4, 18, 53]\nGenerated Node #0,2: 56:[4, 18, 53] Operation: 41+12=53\nMoving to Node #0,2\nCurrent State: 56:[4, 18, 53], Operations: ['41+12=53']\nExploring Operation: 4*18=72, Resulting Numbers: [53, 72]\nGenerated Node #0,2,0: 56:[53, 72] Operation: 4*18=72\nMoving to Node #0,2,0\nCurrent State: 56:[53, 72], Operations: ['41+12=53', '4*18=72']\nExploring Operation: 72-53=19, Resulting Numbers: [19]\n19,56 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 56:[4, 18, 53], Operations: ['41+12=53']\nExploring Operation: 4+18=22, Resulting Numbers: [53, 22]\nGenerated Node #0,2,1: 56:[53, 22] Operation: 4+18=22\nMoving to Node #0,2,1\nCurrent State: 56:[53, 22], Operations: ['41+12=53', '4+18=22']\nExploring Operation: 53+22=75, Resulting Numbers: [75]\n75,56 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 56:[53, 22], Operations: ['41+12=53', '4+18=22']\nExploring Operation: 53-22=31, Resulting Numbers: [31]\n31,56 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 56:[4, 18, 53], Operations: ['41+12=53']\nExploring Operation: 4+53=57, Resulting Numbers: [18, 57]\nGenerated Node #0,2,2: 56:[18, 57] Operation: 4+53=57\nMoving to Node #0,2,2\nCurrent State: 56:[18, 57], Operations: ['41+12=53', '4+53=57']\nExploring Operation: 57-18=39, Resulting Numbers: [39]\n39,56 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 56:[18, 57], Operations: ['41+12=53', '4+53=57']\nExploring Operation: 18+57=75, Resulting Numbers: [75]\n75,56 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 56:[4, 18, 53], Operations: ['41+12=53']\nExploring Operation: 18-4=14, Resulting Numbers: [53, 14]\nGenerated Node #0,2,3: 56:[53, 14] Operation: 18-4=14\nMoving to Node #0,2,3\nCurrent State: 56:[53, 14], Operations: ['41+12=53', '18-4=14']\nExploring Operation: 53+14=67, Resulting Numbers: [67]\n67,56 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 56:[53, 14], Operations: ['41+12=53', '18-4=14']\nExploring Operation: 53-14=39, Resulting Numbers: [39]\n39,56 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 56:[4, 18, 53], Operations: ['41+12=53']\nExploring Operation: 53-4=49, Resulting Numbers: [18, 49]\nGenerated Node #0,2,4: 56:[18, 49] Operation: 53-4=49\nMoving to Node #0,2,4\nCurrent State: 56:[18, 49], Operations: ['41+12=53', '53-4=49']\nExploring Operation: 18+49=67, Resulting Numbers: [67]\n67,56 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 56:[18, 49], Operations: ['41+12=53', '53-4=49']\nExploring Operation: 49-18=31, Resulting Numbers: [31]\n31,56 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 56:[4, 18, 53], Operations: ['41+12=53']\nExploring Operation: 18+53=71, Resulting Numbers: [4, 71]\nGenerated Node #0,2,5: 56:[4, 71] Operation: 18+53=71\nMoving to Node #0,2,5\nCurrent State: 56:[4, 71], Operations: ['41+12=53', '18+53=71']\nExploring Operation: 71-4=67, Resulting Numbers: [67]\n67,56 unequal: No Solution\nMoving to Node #0,2,5\nCurrent State: 56:[4, 71], Operations: ['41+12=53', '18+53=71']\nExploring Operation: 4+71=75, Resulting Numbers: [75]\n75,56 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 56:[4, 18, 53], Operations: ['41+12=53']\nExploring Operation: 53-18=35, Resulting Numbers: [4, 35]\nGenerated Node #0,2,6: 56:[4, 35] Operation: 53-18=35\nMoving to Node #0,2,6\nCurrent State: 56:[4, 35], Operations: ['41+12=53', '53-18=35']\nExploring Operation: 4+35=39, Resulting Numbers: [39]\n39,56 unequal: No Solution\nMoving to Node #0,2,6\nCurrent State: 56:[4, 35], Operations: ['41+12=53', '53-18=35']\nExploring Operation: 35-4=31, Resulting Numbers: [31]\n31,56 unequal: No Solution\nMoving to Node #0\nCurrent State: 56:[41, 12, 4, 18], Operations: []\nExploring Operation: 41+4=45, Resulting Numbers: [12, 18, 45]\nGenerated Node #0,3: 56:[12, 18, 45] Operation: 41+4=45\nMoving to Node #0,3\nCurrent State: 56:[12, 18, 45], Operations: ['41+4=45']\nExploring Operation: 12+18=30, Resulting Numbers: [45, 30]\nGenerated Node #0,3,0: 56:[45, 30] Operation: 12+18=30\nMoving to Node #0,3,0\nCurrent State: 56:[45, 30], Operations: ['41+4=45', '12+18=30']\nExploring Operation: 45+30=75, Resulting Numbers: [75]\n75,56 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 56:[45, 30], Operations: ['41+4=45', '12+18=30']\nExploring Operation: 45-30=15, Resulting Numbers: [15]\n15,56 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 56:[12, 18, 45], Operations: ['41+4=45']\nExploring Operation: 12+45=57, Resulting Numbers: [18, 57]\nGenerated Node #0,3,1: 56:[18, 57] Operation: 12+45=57\nMoving to Node #0,3,1\nCurrent State: 56:[18, 57], Operations: ['41+4=45', '12+45=57']\nExploring Operation: 57-18=39, Resulting Numbers: [39]\n39,56 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 56:[18, 57], Operations: ['41+4=45', '12+45=57']\nExploring Operation: 18+57=75, Resulting Numbers: [75]\n75,56 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 56:[12, 18, 45], Operations: ['41+4=45']\nExploring Operation: 18+45=63, Resulting Numbers: [12, 63]\nGenerated Node #0,3,2: 56:[12, 63] Operation: 18+45=63\nMoving to Node #0,3,2\nCurrent State: 56:[12, 63], Operations: ['41+4=45', '18+45=63']\nExploring Operation: 63-12=51, Resulting Numbers: [51]\n51,56 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 56:[12, 63], Operations: ['41+4=45', '18+45=63']\nExploring Operation: 12+63=75, Resulting Numbers: [75]\n75,56 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 56:[12, 18, 45], Operations: ['41+4=45']\nExploring Operation: 18-12=6, Resulting Numbers: [45, 6]\nGenerated Node #0,3,3: 56:[45, 6] Operation: 18-12=6\nMoving to Node #0,3,3\nCurrent State: 56:[45, 6], Operations: ['41+4=45', '18-12=6']\nExploring Operation: 45+6=51, Resulting Numbers: [51]\n51,56 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 56:[45, 6], Operations: ['41+4=45', '18-12=6']\nExploring Operation: 45-6=39, Resulting Numbers: [39]\n39,56 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 56:[12, 18, 45], Operations: ['41+4=45']\nExploring Operation: 45-12=33, Resulting Numbers: [18, 33]\nGenerated Node #0,3,4: 56:[18, 33] Operation: 45-12=33\nMoving to Node #0,3,4\nCurrent State: 56:[18, 33], Operations: ['41+4=45', '45-12=33']\nExploring Operation: 18+33=51, Resulting Numbers: [51]\n51,56 unequal: No Solution\nMoving to Node #0,3,4\nCurrent State: 56:[18, 33], Operations: ['41+4=45', '45-12=33']\nExploring Operation: 33-18=15, Resulting Numbers: [15]\n15,56 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 56:[12, 18, 45], Operations: ['41+4=45']\nExploring Operation: 45-18=27, Resulting Numbers: [12, 27]\nGenerated Node #0,3,5: 56:[12, 27] Operation: 45-18=27\nMoving to Node #0,3,5\nCurrent State: 56:[12, 27], Operations: ['41+4=45', '45-18=27']\nExploring Operation: 12+27=39, Resulting Numbers: [39]\n39,56 unequal: No Solution\nMoving to Node #0,3,5\nCurrent State: 56:[12, 27], Operations: ['41+4=45', '45-18=27']\nExploring Operation: 27-12=15, Resulting Numbers: [15]\n15,56 unequal: No Solution\nMoving to Node #0\nCurrent State: 56:[41, 12, 4, 18], Operations: []\nExploring Operation: 12+4=16, Resulting Numbers: [41, 18, 16]\nGenerated Node #0,4: 56:[41, 18, 16] Operation: 12+4=16\nMoving to Node #0,4\nCurrent State: 56:[41, 18, 16], Operations: ['12+4=16']\nExploring Operation: 18+16=34, Resulting Numbers: [41, 34]\nGenerated Node #0,4,0: 56:[41, 34] Operation: 18+16=34\nMoving to Node #0,4,0\nCurrent State: 56:[41, 34], Operations: ['12+4=16', '18+16=34']\nExploring Operation: 41+34=75, Resulting Numbers: [75]\n75,56 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 56:[41, 34], Operations: ['12+4=16', '18+16=34']\nExploring Operation: 41-34=7, Resulting Numbers: [7]\n7,56 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 56:[41, 18, 16], Operations: ['12+4=16']\nExploring Operation: 41+16=57, Resulting Numbers: [18, 57]\nGenerated Node #0,4,1: 56:[18, 57] Operation: 41+16=57\nMoving to Node #0,4,1\nCurrent State: 56:[18, 57], Operations: ['12+4=16', '41+16=57']\nExploring Operation: 57-18=39, Resulting Numbers: [39]\n39,56 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 56:[18, 57], Operations: ['12+4=16', '41+16=57']\nExploring Operation: 18+57=75, Resulting Numbers: [75]\n75,56 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 56:[41, 18, 16], Operations: ['12+4=16']\nExploring Operation: 41+18=59, Resulting Numbers: [16, 59]\nGenerated Node #0,4,2: 56:[16, 59] Operation: 41+18=59\nMoving to Node #0,4,2\nCurrent State: 56:[16, 59], Operations: ['12+4=16', '41+18=59']\nExploring Operation: 59-16=43, Resulting Numbers: [43]\n43,56 unequal: No Solution\nMoving to Node #0,4,2\nCurrent State: 56:[16, 59], Operations: ['12+4=16', '41+18=59']\nExploring Operation: 16+59=75, Resulting Numbers: [75]\n75,56 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 56:[41, 18, 16], Operations: ['12+4=16']\nExploring Operation: 41-16=25, Resulting Numbers: [18, 25]\nGenerated Node #0,4,3: 56:[18, 25] Operation: 41-16=25\nMoving to Node #0,4,3\nCurrent State: 56:[18, 25], Operations: ['12+4=16', '41-16=25']\nExploring Operation: 18+25=43, Resulting Numbers: [43]\n43,56 unequal: No Solution\nMoving to Node #0,4,3\nCurrent State: 56:[18, 25], Operations: ['12+4=16', '41-16=25']\nExploring Operation: 25-18=7, Resulting Numbers: [7]\n7,56 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 56:[41, 18, 16], Operations: ['12+4=16']\nExploring Operation: 18-16=2, Resulting Numbers: [41, 2]\nGenerated Node #0,4,4: 56:[41, 2] Operation: 18-16=2\nMoving to Node #0,4,4\nCurrent State: 56:[41, 2], Operations: ['12+4=16', '18-16=2']\nExploring Operation: 41+2=43, Resulting Numbers: [43]\n43,56 unequal: No Solution\nMoving to Node #0,4,4\nCurrent State: 56:[41, 2], Operations: ['12+4=16', '18-16=2']\nExploring Operation: 41-2=39, Resulting Numbers: [39]\n39,56 unequal: No Solution\nMoving to Node #0,4,4\nCurrent State: 56:[41, 2], Operations: ['12+4=16', '18-16=2']\nExploring Operation: 41*2=82, Resulting Numbers: [82]\n82,56 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 56:[41, 18, 16], Operations: ['12+4=16']\nExploring Operation: 41-18=23, Resulting Numbers: [16, 23]\nGenerated Node #0,4,5: 56:[16, 23] Operation: 41-18=23\nMoving to Node #0,4,5\nCurrent State: 56:[16, 23], Operations: ['12+4=16', '41-18=23']\nExploring Operation: 16+23=39, Resulting Numbers: [39]\n39,56 unequal: No Solution\nMoving to Node #0,4,5\nCurrent State: 56:[16, 23], Operations: ['12+4=16', '41-18=23']\nExploring Operation: 23-16=7, Resulting Numbers: [7]\n7,56 unequal: No Solution\nMoving to Node #0\nCurrent State: 56:[41, 12, 4, 18], Operations: []\nExploring Operation: 12+18=30, Resulting Numbers: [41, 4, 30]\nGenerated Node #0,5: 56:[41, 4, 30] Operation: 12+18=30\nMoving to Node #0,5\nCurrent State: 56:[41, 4, 30], Operations: ['12+18=30']\nExploring Operation: 41+4=45, Resulting Numbers: [30, 45]\nGenerated Node #0,5,0: 56:[30, 45] Operation: 41+4=45\nMoving to Node #0,5,0\nCurrent State: 56:[30, 45], Operations: ['12+18=30', '41+4=45']\nExploring Operation: 30+45=75, Resulting Numbers: [75]\n75,56 unequal: No Solution\nMoving to Node #0,5,0\nCurrent State: 56:[30, 45], Operations: ['12+18=30', '41+4=45']\nExploring Operation: 45-30=15, Resulting Numbers: [15]\n15,56 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 56:[41, 4, 30], Operations: ['12+18=30']\nExploring Operation: 4+30=34, Resulting Numbers: [41, 34]\nGenerated Node #0,5,1: 56:[41, 34] Operation: 4+30=34\nMoving to Node #0,5,1\nCurrent State: 56:[41, 34], Operations: ['12+18=30', '4+30=34']\nExploring Operation: 41+34=75, Resulting Numbers: [75]\n75,56 unequal: No Solution\nMoving to Node #0,5,1\nCurrent State: 56:[41, 34], Operations: ['12+18=30', '4+30=34']\nExploring Operation: 41-34=7, Resulting Numbers: [7]\n7,56 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 56:[41, 4, 30], Operations: ['12+18=30']\nExploring Operation: 41-4=37, Resulting Numbers: [30, 37]\nGenerated Node #0,5,2: 56:[30, 37] Operation: 41-4=37\nMoving to Node #0,5,2\nCurrent State: 56:[30, 37], Operations: ['12+18=30', '41-4=37']\nExploring Operation: 30+37=67, Resulting Numbers: [67]\n67,56 unequal: No Solution\nMoving to Node #0,5,2\nCurrent State: 56:[30, 37], Operations: ['12+18=30', '41-4=37']\nExploring Operation: 37-30=7, Resulting Numbers: [7]\n7,56 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 56:[41, 4, 30], Operations: ['12+18=30']\nExploring Operation: 30-4=26, Resulting Numbers: [41, 26]\nGenerated Node #0,5,3: 56:[41, 26] Operation: 30-4=26\nMoving to Node #0,5,3\nCurrent State: 56:[41, 26], Operations: ['12+18=30', '30-4=26']\nExploring Operation: 41+26=67, Resulting Numbers: [67]\n67,56 unequal: No Solution\nMoving to Node #0,5,3\nCurrent State: 56:[41, 26], Operations: ['12+18=30', '30-4=26']\nExploring Operation: 41-26=15, Resulting Numbers: [15]\n15,56 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 56:[41, 4, 30], Operations: ['12+18=30']\nExploring Operation: 41+30=71, Resulting Numbers: [4, 71]\nGenerated Node #0,5,4: 56:[4, 71] Operation: 41+30=71\nMoving to Node #0,5,4\nCurrent State: 56:[4, 71], Operations: ['12+18=30', '41+30=71']\nExploring Operation: 71-4=67, Resulting Numbers: [67]\n67,56 unequal: No Solution\nMoving to Node #0,5,4\nCurrent State: 56:[4, 71], Operations: ['12+18=30', '41+30=71']\nExploring Operation: 4+71=75, Resulting Numbers: [75]\n75,56 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 56:[41, 4, 30], Operations: ['12+18=30']\nExploring Operation: 4*30=120, Resulting Numbers: [41, 120]\nGenerated Node #0,5,5: 56:[41, 120] Operation: 4*30=120\nMoving to Node #0,5,5\nCurrent State: 56:[41, 120], Operations: ['12+18=30', '4*30=120']\nExploring Operation: 120-41=79, Resulting Numbers: [79]\n79,56 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 56:[41, 4, 30], Operations: ['12+18=30']\nExploring Operation: 41-30=11, Resulting Numbers: [4, 11]\nGenerated Node #0,5,6: 56:[4, 11] Operation: 41-30=11\nMoving to Node #0,5,6\nCurrent State: 56:[4, 11], Operations: ['12+18=30', '41-30=11']\nExploring Operation: 4*11=44, Resulting Numbers: [44]\n44,56 unequal: No Solution\nMoving to Node #0,5,6\nCurrent State: 56:[4, 11], Operations: ['12+18=30', '41-30=11']\nExploring Operation: 4+11=15, Resulting Numbers: [15]\n15,56 unequal: No Solution\nMoving to Node #0,5,6\nCurrent State: 56:[4, 11], Operations: ['12+18=30', '41-30=11']\nExploring Operation: 11-4=7, Resulting Numbers: [7]\n7,56 unequal: No Solution\nMoving to Node #0\nCurrent State: 56:[41, 12, 4, 18], Operations: []\nExploring Operation: 4+18=22, Resulting Numbers: [41, 12, 22]\nGenerated Node #0,6: 56:[41, 12, 22] Operation: 4+18=22\nMoving to Node #0,6\nCurrent State: 56:[41, 12, 22], Operations: ['4+18=22']\nExploring Operation: 41+12=53, Resulting Numbers: [22, 53]\nGenerated Node #0,6,0: 56:[22, 53] Operation: 41+12=53\nMoving to Node #0,6,0\nCurrent State: 56:[22, 53], Operations: ['4+18=22', '41+12=53']\nExploring Operation: 22+53=75, Resulting Numbers: [75]\n75,56 unequal: No Solution\nMoving to Node #0,6,0\nCurrent State: 56:[22, 53], Operations: ['4+18=22', '41+12=53']\nExploring Operation: 53-22=31, Resulting Numbers: [31]\n31,56 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 56:[41, 12, 22], Operations: ['4+18=22']\nExploring Operation: 12+22=34, Resulting Numbers: [41, 34]\nGenerated Node #0,6,1: 56:[41, 34] Operation: 12+22=34\nMoving to Node #0,6,1\nCurrent State: 56:[41, 34], Operations: ['4+18=22', '12+22=34']\nExploring Operation: 41+34=75, Resulting Numbers: [75]\n75,56 unequal: No Solution\nMoving to Node #0,6,1\nCurrent State: 56:[41, 34], Operations: ['4+18=22', '12+22=34']\nExploring Operation: 41-34=7, Resulting Numbers: [7]\n7,56 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 56:[41, 12, 22], Operations: ['4+18=22']\nExploring Operation: 41+22=63, Resulting Numbers: [12, 63]\nGenerated Node #0,6,2: 56:[12, 63] Operation: 41+22=63\nMoving to Node #0,6,2\nCurrent State: 56:[12, 63], Operations: ['4+18=22', '41+22=63']\nExploring Operation: 63-12=51, Resulting Numbers: [51]\n51,56 unequal: No Solution\nMoving to Node #0,6,2\nCurrent State: 56:[12, 63], Operations: ['4+18=22', '41+22=63']\nExploring Operation: 12+63=75, Resulting Numbers: [75]\n75,56 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 56:[41, 12, 22], Operations: ['4+18=22']\nExploring Operation: 41-12=29, Resulting Numbers: [22, 29]\nGenerated Node #0,6,3: 56:[22, 29] Operation: 41-12=29\nMoving to Node #0,6,3\nCurrent State: 56:[22, 29], Operations: ['4+18=22', '41-12=29']\nExploring Operation: 22+29=51, Resulting Numbers: [51]\n51,56 unequal: No Solution\nMoving to Node #0,6,3\nCurrent State: 56:[22, 29], Operations: ['4+18=22', '41-12=29']\nExploring Operation: 29-22=7, Resulting Numbers: [7]\n7,56 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 56:[41, 12, 22], Operations: ['4+18=22']\nExploring Operation: 22-12=10, Resulting Numbers: [41, 10]\nGenerated Node #0,6,4: 56:[41, 10] Operation: 22-12=10\nMoving to Node #0,6,4\nCurrent State: 56:[41, 10], Operations: ['4+18=22', '22-12=10']\nExploring Operation: 41+10=51, Resulting Numbers: [51]\n51,56 unequal: No Solution\nMoving to Node #0,6,4\nCurrent State: 56:[41, 10], Operations: ['4+18=22', '22-12=10']\nExploring Operation: 41-10=31, Resulting Numbers: [31]\n31,56 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 56:[41, 12, 22], Operations: ['4+18=22']\nExploring Operation: 41-22=19, Resulting Numbers: [12, 19]\nGenerated Node #0,6,5: 56:[12, 19] Operation: 41-22=19\nMoving to Node #0,6,5\nCurrent State: 56:[12, 19], Operations: ['4+18=22', '41-22=19']\nExploring Operation: 12+19=31, Resulting Numbers: [31]\n31,56 unequal: No Solution\nMoving to Node #0,6,5\nCurrent State: 56:[12, 19], Operations: ['4+18=22', '41-22=19']\nExploring Operation: 19-12=7, Resulting Numbers: [7]\n7,56 unequal: No Solution\nMoving to Node #0\nCurrent State: 56:[41, 12, 4, 18], Operations: []\nExploring Operation: 41+18=59, Resulting Numbers: [12, 4, 59]\nGenerated Node #0,7: 56:[12, 4, 59] Operation: 41+18=59\nMoving to Node #0,7\nCurrent State: 56:[12, 4, 59], Operations: ['41+18=59']\nExploring Operation: 12*4=48, Resulting Numbers: [59, 48]\nGenerated Node #0,7,0: 56:[59, 48] Operation: 12*4=48\nMoving to Node #0,7,0\nCurrent State: 56:[59, 48], Operations: ['41+18=59', '12*4=48']\nExploring Operation: 59-48=11, Resulting Numbers: [11]\n11,56 unequal: No Solution\nMoving to Node #0,7,0\nCurrent State: 56:[59, 48], Operations: ['41+18=59', '12*4=48']\nExploring Operation: 59+48=107, Resulting Numbers: [107]\n107,56 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 56:[12, 4, 59], Operations: ['41+18=59']\nExploring Operation: 12+4=16, Resulting Numbers: [59, 16]\nGenerated Node #0,7,1: 56:[59, 16] Operation: 12+4=16\nMoving to Node #0,7,1\nCurrent State: 56:[59, 16], Operations: ['41+18=59', '12+4=16']\nExploring Operation: 59-16=43, Resulting Numbers: [43]\n43,56 unequal: No Solution\nMoving to Node #0,7,1\nCurrent State: 56:[59, 16], Operations: ['41+18=59', '12+4=16']\nExploring Operation: 59+16=75, Resulting Numbers: [75]\n75,56 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 56:[12, 4, 59], Operations: ['41+18=59']\nExploring Operation: 59-4=55, Resulting Numbers: [12, 55]\nGenerated Node #0,7,2: 56:[12, 55] Operation: 59-4=55\nMoving to Node #0,7,2\nCurrent State: 56:[12, 55], Operations: ['41+18=59', '59-4=55']\nExploring Operation: 12+55=67, Resulting Numbers: [67]\n67,56 unequal: No Solution\nMoving to Node #0,7,2\nCurrent State: 56:[12, 55], Operations: ['41+18=59', '59-4=55']\nExploring Operation: 55-12=43, Resulting Numbers: [43]\n43,56 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 56:[12, 4, 59], Operations: ['41+18=59']\nExploring Operation: 12-4=8, Resulting Numbers: [59, 8]\nGenerated Node #0,7,3: 56:[59, 8] Operation: 12-4=8\nMoving to Node #0,7,3\nCurrent State: 56:[59, 8], Operations: ['41+18=59', '12-4=8']\nExploring Operation: 59-8=51, Resulting Numbers: [51]\n51,56 unequal: No Solution\nMoving to Node #0,7,3\nCurrent State: 56:[59, 8], Operations: ['41+18=59', '12-4=8']\nExploring Operation: 59+8=67, Resulting Numbers: [67]\n67,56 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 56:[12, 4, 59], Operations: ['41+18=59']\nExploring Operation: 4+59=63, Resulting Numbers: [12, 63]\nGenerated Node #0,7,4: 56:[12, 63] Operation: 4+59=63\nMoving to Node #0,7,4\nCurrent State: 56:[12, 63], Operations: ['41+18=59', '4+59=63']\nExploring Operation: 63-12=51, Resulting Numbers: [51]\n51,56 unequal: No Solution\nMoving to Node #0,7,4\nCurrent State: 56:[12, 63], Operations: ['41+18=59', '4+59=63']\nExploring Operation: 12+63=75, Resulting Numbers: [75]\n75,56 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 56:[12, 4, 59], Operations: ['41+18=59']\nExploring Operation: 12/4=3, Resulting Numbers: [59, 3]\nGenerated Node #0,7,5: 56:[59, 3] Operation: 12/4=3\nMoving to Node #0,7,5\nCurrent State: 56:[59, 3], Operations: ['41+18=59', '12/4=3']\nExploring Operation: 59-3=56, Resulting Numbers: [56]\n56,56 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [1, 68, 47, 9] using the four basic arithmetic operations (+, -, *, /) to reach 12.",
"role": "user"
},
{
"content": "Current State: 12:[1, 68, 47, 9], Operations: []\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [42, 73, 6, 67] using the four basic arithmetic operations (+, -, *, /) to reach 54.",
"role": "user"
},
{
"content": "Current State: 54:[42, 73, 6, 67], Operations: []\nExploring Operation: 42+6=48, Resulting Numbers: [73, 67, 48]\nGenerated Node #0,0: 54:[73, 67, 48] Operation: 42+6=48\nMoving to Node #0,0\nCurrent State: 54:[73, 67, 48], Operations: ['42+6=48']\nExploring Operation: 73-48=25, Resulting Numbers: [67, 25]\nGenerated Node #0,0,0: 54:[67, 25] Operation: 73-48=25\nMoving to Node #0,0,0\nCurrent State: 54:[67, 25], Operations: ['42+6=48', '73-48=25']\nExploring Operation: 67-25=42, Resulting Numbers: [42]\n42,54 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 54:[67, 25], Operations: ['42+6=48', '73-48=25']\nExploring Operation: 67+25=92, Resulting Numbers: [92]\n92,54 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 54:[73, 67, 48], Operations: ['42+6=48']\nExploring Operation: 73-67=6, Resulting Numbers: [48, 6]\nGenerated Node #0,0,1: 54:[48, 6] Operation: 73-67=6\nMoving to Node #0,0,1\nCurrent State: 54:[48, 6], Operations: ['42+6=48', '73-67=6']\nExploring Operation: 48+6=54, Resulting Numbers: [54]\n54,54 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [11, 73, 92, 12] using the four basic arithmetic operations (+, -, *, /) to reach 18.",
"role": "user"
},
{
"content": "Current State: 18:[11, 73, 92, 12], Operations: []\nExploring Operation: 92-73=19, Resulting Numbers: [11, 12, 19]\nGenerated Node #0,0: 18:[11, 12, 19] Operation: 92-73=19\nExploring Operation: 73-12=61, Resulting Numbers: [11, 92, 61]\nGenerated Node #0,1: 18:[11, 92, 61] Operation: 73-12=61\nExploring Operation: 73-11=62, Resulting Numbers: [92, 12, 62]\nGenerated Node #0,2: 18:[92, 12, 62] Operation: 73-11=62\nExploring Operation: 92-12=80, Resulting Numbers: [11, 73, 80]\nGenerated Node #0,3: 18:[11, 73, 80] Operation: 92-12=80\nMoving to Node #0,0\nCurrent State: 18:[11, 12, 19], Operations: ['92-73=19']\nExploring Operation: 19-11=8, Resulting Numbers: [12, 8]\nGenerated Node #0,0,0: 18:[12, 8] Operation: 19-11=8\nExploring Operation: 11+12=23, Resulting Numbers: [19, 23]\nGenerated Node #0,0,1: 18:[19, 23] Operation: 11+12=23\nExploring Operation: 12-11=1, Resulting Numbers: [19, 1]\nGenerated Node #0,0,2: 18:[19, 1] Operation: 12-11=1\nExploring Operation: 19-12=7, Resulting Numbers: [11, 7]\nGenerated Node #0,0,3: 18:[11, 7] Operation: 19-12=7\nMoving to Node #0,3\nCurrent State: 18:[11, 73, 80], Operations: ['92-12=80']\nExploring Operation: 80-73=7, Resulting Numbers: [11, 7]\nGenerated Node #0,3,0: 18:[11, 7] Operation: 80-73=7\nExploring Operation: 80-11=69, Resulting Numbers: [73, 69]\nGenerated Node #0,3,1: 18:[73, 69] Operation: 80-11=69\nExploring Operation: 73-11=62, Resulting Numbers: [80, 62]\nGenerated Node #0,3,2: 18:[80, 62] Operation: 73-11=62\nExploring Operation: 11+73=84, Resulting Numbers: [80, 84]\nGenerated Node #0,3,3: 18:[80, 84] Operation: 11+73=84\nMoving to Node #0,1\nCurrent State: 18:[11, 92, 61], Operations: ['73-12=61']\nExploring Operation: 92-61=31, Resulting Numbers: [11, 31]\nGenerated Node #0,1,0: 18:[11, 31] Operation: 92-61=31\nExploring Operation: 11+92=103, Resulting Numbers: [61, 103]\nGenerated Node #0,1,1: 18:[61, 103] Operation: 11+92=103\nExploring Operation: 92-11=81, Resulting Numbers: [61, 81]\nGenerated Node #0,1,2: 18:[61, 81] Operation: 92-11=81\nExploring Operation: 61-11=50, Resulting Numbers: [92, 50]\nGenerated Node #0,1,3: 18:[92, 50] Operation: 61-11=50\nMoving to Node #0,2\nCurrent State: 18:[92, 12, 62], Operations: ['73-11=62']\nExploring Operation: 62-12=50, Resulting Numbers: [92, 50]\nGenerated Node #0,2,0: 18:[92, 50] Operation: 62-12=50\nExploring Operation: 92-62=30, Resulting Numbers: [12, 30]\nGenerated Node #0,2,1: 18:[12, 30] Operation: 92-62=30\nExploring Operation: 92+12=104, Resulting Numbers: [62, 104]\nGenerated Node #0,2,2: 18:[62, 104] Operation: 92+12=104\nExploring Operation: 92-12=80, Resulting Numbers: [62, 80]\nGenerated Node #0,2,3: 18:[62, 80] Operation: 92-12=80\nMoving to Node #0,0,2\nCurrent State: 18:[19, 1], Operations: ['92-73=19', '12-11=1']\nExploring Operation: 19*1=19, Resulting Numbers: [19]\n19,18 unequal: No Solution\nExploring Operation: 19/1=19, Resulting Numbers: [19]\n19,18 unequal: No Solution\nExploring Operation: 19-1=18, Resulting Numbers: [18]\n18,18 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [56, 19, 48, 64] using the four basic arithmetic operations (+, -, *, /) to reach 75.",
"role": "user"
},
{
"content": "Current State: 75:[56, 19, 48, 64], Operations: []\nExploring Operation: 56+19=75, Resulting Numbers: [48, 64, 75]\nGenerated Node #0,0: 75:[48, 64, 75] Operation: 56+19=75\nExploring Operation: 19+48=67, Resulting Numbers: [56, 64, 67]\nGenerated Node #0,1: 75:[56, 64, 67] Operation: 19+48=67\nMoving to Node #0,0\nCurrent State: 75:[48, 64, 75], Operations: ['56+19=75']\nExploring Operation: 64-48=16, Resulting Numbers: [75, 16]\nGenerated Node #0,0,0: 75:[75, 16] Operation: 64-48=16\nExploring Operation: 48+64=112, Resulting Numbers: [75, 112]\nGenerated Node #0,0,1: 75:[75, 112] Operation: 48+64=112\nMoving to Node #0,1\nCurrent State: 75:[56, 64, 67], Operations: ['19+48=67']\nExploring Operation: 56+67=123, Resulting Numbers: [64, 123]\nGenerated Node #0,1,0: 75:[64, 123] Operation: 56+67=123\nExploring Operation: 56+64=120, Resulting Numbers: [67, 120]\nGenerated Node #0,1,1: 75:[67, 120] Operation: 56+64=120\nMoving to Node #0,0,1\nCurrent State: 75:[75, 112], Operations: ['56+19=75', '48+64=112']\nExploring Operation: 75+112=187, Resulting Numbers: [187]\n187,75 unequal: No Solution\nExploring Operation: 112-75=37, Resulting Numbers: [37]\n37,75 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 75:[67, 120], Operations: ['19+48=67', '56+64=120']\nExploring Operation: 67+120=187, Resulting Numbers: [187]\n187,75 unequal: No Solution\nExploring Operation: 120-67=53, Resulting Numbers: [53]\n53,75 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 75:[75, 16], Operations: ['56+19=75', '64-48=16']\nExploring Operation: 75+16=91, Resulting Numbers: [91]\n91,75 unequal: No Solution\nExploring Operation: 75-16=59, Resulting Numbers: [59]\n59,75 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 75:[64, 123], Operations: ['19+48=67', '56+67=123']\nExploring Operation: 123-64=59, Resulting Numbers: [59]\n59,75 unequal: No Solution\nExploring Operation: 64+123=187, Resulting Numbers: [187]\n187,75 unequal: No Solution\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [75, 4, 92, 80] using the four basic arithmetic operations (+, -, *, /) to reach 78.",
"role": "user"
},
{
"content": "Current State: 78:[75, 4, 92, 80], Operations: []\nExploring Operation: 92-80=12, Resulting Numbers: [75, 4, 12]\nGenerated Node #0,0: 78:[75, 4, 12] Operation: 92-80=12\nMoving to Node #0,0\nCurrent State: 78:[75, 4, 12], Operations: ['92-80=12']\nExploring Operation: 75+4=79, Resulting Numbers: [12, 79]\nGenerated Node #0,0,0: 78:[12, 79] Operation: 75+4=79\nMoving to Node #0,0,0\nCurrent State: 78:[12, 79], Operations: ['92-80=12', '75+4=79']\nExploring Operation: 79-12=67, Resulting Numbers: [67]\n67,78 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 78:[12, 79], Operations: ['92-80=12', '75+4=79']\nExploring Operation: 12+79=91, Resulting Numbers: [91]\n91,78 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 78:[75, 4, 12], Operations: ['92-80=12']\nExploring Operation: 12/4=3, Resulting Numbers: [75, 3]\nGenerated Node #0,0,1: 78:[75, 3] Operation: 12/4=3\nMoving to Node #0,0,1\nCurrent State: 78:[75, 3], Operations: ['92-80=12', '12/4=3']\nExploring Operation: 75+3=78, Resulting Numbers: [78]\n78,78 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [3, 43, 49, 28] using the four basic arithmetic operations (+, -, *, /) to reach 54.",
"role": "user"
},
{
"content": "Current State: 54:[3, 43, 49, 28], Operations: []\nExploring Operation: 49-43=6, Resulting Numbers: [3, 28, 6]\nGenerated Node #0,0: 54:[3, 28, 6] Operation: 49-43=6\nExploring Operation: 43-28=15, Resulting Numbers: [3, 49, 15]\nGenerated Node #0,1: 54:[3, 49, 15] Operation: 43-28=15\nMoving to Node #0,0\nCurrent State: 54:[3, 28, 6], Operations: ['49-43=6']\nExploring Operation: 3*6=18, Resulting Numbers: [28, 18]\nGenerated Node #0,0,0: 54:[28, 18] Operation: 3*6=18\nExploring Operation: 3+6=9, Resulting Numbers: [28, 9]\nGenerated Node #0,0,1: 54:[28, 9] Operation: 3+6=9\nMoving to Node #0,1\nCurrent State: 54:[3, 49, 15], Operations: ['43-28=15']\nExploring Operation: 3+49=52, Resulting Numbers: [15, 52]\nGenerated Node #0,1,0: 54:[15, 52] Operation: 3+49=52\nExploring Operation: 3+15=18, Resulting Numbers: [49, 18]\nGenerated Node #0,1,1: 54:[49, 18] Operation: 3+15=18\nMoving to Node #0,0,0\nCurrent State: 54:[28, 18], Operations: ['49-43=6', '3*6=18']\nExploring Operation: 28+18=46, Resulting Numbers: [46]\n46,54 unequal: No Solution\nExploring Operation: 28-18=10, Resulting Numbers: [10]\n10,54 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 54:[28, 9], Operations: ['49-43=6', '3+6=9']\nExploring Operation: 28+9=37, Resulting Numbers: [37]\n37,54 unequal: No Solution\nExploring Operation: 28-9=19, Resulting Numbers: [19]\n19,54 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 54:[49, 18], Operations: ['43-28=15', '3+15=18']\nExploring Operation: 49+18=67, Resulting Numbers: [67]\n67,54 unequal: No Solution\nExploring Operation: 49-18=31, Resulting Numbers: [31]\n31,54 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 54:[15, 52], Operations: ['43-28=15', '3+49=52']\nExploring Operation: 15+52=67, Resulting Numbers: [67]\n67,54 unequal: No Solution\nExploring Operation: 52-15=37, Resulting Numbers: [37]\n37,54 unequal: No Solution\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [63, 44, 9, 56] using the four basic arithmetic operations (+, -, *, /) to reach 84.",
"role": "user"
},
{
"content": "Current State: 84:[63, 44, 9, 56], Operations: []\nExploring Operation: 63-56=7, Resulting Numbers: [44, 9, 7]\nGenerated Node #0,0: 84:[44, 9, 7] Operation: 63-56=7\nMoving to Node #0,0\nCurrent State: 84:[44, 9, 7], Operations: ['63-56=7']\nExploring Operation: 9-7=2, Resulting Numbers: [44, 2]\nGenerated Node #0,0,0: 84:[44, 2] Operation: 9-7=2\nMoving to Node #0,0,0\nCurrent State: 84:[44, 2], Operations: ['63-56=7', '9-7=2']\nExploring Operation: 44-2=42, Resulting Numbers: [42]\n42,84 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 84:[44, 2], Operations: ['63-56=7', '9-7=2']\nExploring Operation: 44/2=22, Resulting Numbers: [22]\n22,84 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 84:[44, 2], Operations: ['63-56=7', '9-7=2']\nExploring Operation: 44+2=46, Resulting Numbers: [46]\n46,84 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 84:[44, 2], Operations: ['63-56=7', '9-7=2']\nExploring Operation: 44*2=88, Resulting Numbers: [88]\n88,84 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 84:[44, 9, 7], Operations: ['63-56=7']\nExploring Operation: 9+7=16, Resulting Numbers: [44, 16]\nGenerated Node #0,0,1: 84:[44, 16] Operation: 9+7=16\nMoving to Node #0,0,1\nCurrent State: 84:[44, 16], Operations: ['63-56=7', '9+7=16']\nExploring Operation: 44-16=28, Resulting Numbers: [28]\n28,84 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 84:[44, 16], Operations: ['63-56=7', '9+7=16']\nExploring Operation: 44+16=60, Resulting Numbers: [60]\n60,84 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 84:[44, 9, 7], Operations: ['63-56=7']\nExploring Operation: 44-9=35, Resulting Numbers: [7, 35]\nGenerated Node #0,0,2: 84:[7, 35] Operation: 44-9=35\nMoving to Node #0,0,2\nCurrent State: 84:[7, 35], Operations: ['63-56=7', '44-9=35']\nExploring Operation: 7+35=42, Resulting Numbers: [42]\n42,84 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 84:[7, 35], Operations: ['63-56=7', '44-9=35']\nExploring Operation: 35-7=28, Resulting Numbers: [28]\n28,84 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 84:[7, 35], Operations: ['63-56=7', '44-9=35']\nExploring Operation: 35/7=5, Resulting Numbers: [5]\n5,84 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 84:[44, 9, 7], Operations: ['63-56=7']\nExploring Operation: 44-7=37, Resulting Numbers: [9, 37]\nGenerated Node #0,0,3: 84:[9, 37] Operation: 44-7=37\nMoving to Node #0,0,3\nCurrent State: 84:[9, 37], Operations: ['63-56=7', '44-7=37']\nExploring Operation: 37-9=28, Resulting Numbers: [28]\n28,84 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 84:[9, 37], Operations: ['63-56=7', '44-7=37']\nExploring Operation: 9+37=46, Resulting Numbers: [46]\n46,84 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 84:[44, 9, 7], Operations: ['63-56=7']\nExploring Operation: 44+9=53, Resulting Numbers: [7, 53]\nGenerated Node #0,0,4: 84:[7, 53] Operation: 44+9=53\nMoving to Node #0,0,4\nCurrent State: 84:[7, 53], Operations: ['63-56=7', '44+9=53']\nExploring Operation: 53-7=46, Resulting Numbers: [46]\n46,84 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 84:[7, 53], Operations: ['63-56=7', '44+9=53']\nExploring Operation: 7+53=60, Resulting Numbers: [60]\n60,84 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 84:[44, 9, 7], Operations: ['63-56=7']\nExploring Operation: 44+7=51, Resulting Numbers: [9, 51]\nGenerated Node #0,0,5: 84:[9, 51] Operation: 44+7=51\nMoving to Node #0,0,5\nCurrent State: 84:[9, 51], Operations: ['63-56=7', '44+7=51']\nExploring Operation: 51-9=42, Resulting Numbers: [42]\n42,84 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 84:[9, 51], Operations: ['63-56=7', '44+7=51']\nExploring Operation: 9+51=60, Resulting Numbers: [60]\n60,84 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 84:[44, 9, 7], Operations: ['63-56=7']\nExploring Operation: 9*7=63, Resulting Numbers: [44, 63]\nGenerated Node #0,0,6: 84:[44, 63] Operation: 9*7=63\nMoving to Node #0,0,6\nCurrent State: 84:[44, 63], Operations: ['63-56=7', '9*7=63']\nExploring Operation: 63-44=19, Resulting Numbers: [19]\n19,84 unequal: No Solution\nMoving to Node #0,0,6\nCurrent State: 84:[44, 63], Operations: ['63-56=7', '9*7=63']\nExploring Operation: 44+63=107, Resulting Numbers: [107]\n107,84 unequal: No Solution\nMoving to Node #0\nCurrent State: 84:[63, 44, 9, 56], Operations: []\nExploring Operation: 63/9=7, Resulting Numbers: [44, 56, 7]\nGenerated Node #0,1: 84:[44, 56, 7] Operation: 63/9=7\nMoving to Node #0,1\nCurrent State: 84:[44, 56, 7], Operations: ['63/9=7']\nExploring Operation: 56-44=12, Resulting Numbers: [7, 12]\nGenerated Node #0,1,0: 84:[7, 12] Operation: 56-44=12\nMoving to Node #0,1,0\nCurrent State: 84:[7, 12], Operations: ['63/9=7', '56-44=12']\nExploring Operation: 7*12=84, Resulting Numbers: [84]\n84,84 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [29, 38, 47, 62] using the four basic arithmetic operations (+, -, *, /) to reach 82.",
"role": "user"
},
{
"content": "Current State: 82:[29, 38, 47, 62], Operations: []\nExploring Operation: 29+38=67, Resulting Numbers: [47, 62, 67]\nGenerated Node #0,0: 82:[47, 62, 67] Operation: 29+38=67\nMoving to Node #0,0\nCurrent State: 82:[47, 62, 67], Operations: ['29+38=67']\nExploring Operation: 47+62=109, Resulting Numbers: [67, 109]\nGenerated Node #0,0,0: 82:[67, 109] Operation: 47+62=109\nMoving to Node #0,0,0\nCurrent State: 82:[67, 109], Operations: ['29+38=67', '47+62=109']\nExploring Operation: 109-67=42, Resulting Numbers: [42]\n42,82 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 82:[47, 62, 67], Operations: ['29+38=67']\nExploring Operation: 47+67=114, Resulting Numbers: [62, 114]\nGenerated Node #0,0,1: 82:[62, 114] Operation: 47+67=114\nMoving to Node #0,0,1\nCurrent State: 82:[62, 114], Operations: ['29+38=67', '47+67=114']\nExploring Operation: 114-62=52, Resulting Numbers: [52]\n52,82 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 82:[47, 62, 67], Operations: ['29+38=67']\nExploring Operation: 62-47=15, Resulting Numbers: [67, 15]\nGenerated Node #0,0,2: 82:[67, 15] Operation: 62-47=15\nMoving to Node #0,0,2\nCurrent State: 82:[67, 15], Operations: ['29+38=67', '62-47=15']\nExploring Operation: 67+15=82, Resulting Numbers: [82]\n82,82 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [84, 2, 14, 15] using the four basic arithmetic operations (+, -, *, /) to reach 26.",
"role": "user"
},
{
"content": "Current State: 26:[84, 2, 14, 15], Operations: []\nExploring Operation: 84/2=42, Resulting Numbers: [14, 15, 42]\nGenerated Node #0,0: 26:[14, 15, 42] Operation: 84/2=42\nMoving to Node #0,0\nCurrent State: 26:[14, 15, 42], Operations: ['84/2=42']\nExploring Operation: 42-14=28, Resulting Numbers: [15, 28]\nGenerated Node #0,0,0: 26:[15, 28] Operation: 42-14=28\nMoving to Node #0,0,0\nCurrent State: 26:[15, 28], Operations: ['84/2=42', '42-14=28']\nExploring Operation: 28-15=13, Resulting Numbers: [13]\n13,26 unequal: No Solution\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [64, 66, 54, 98] using the four basic arithmetic operations (+, -, *, /) to reach 22.",
"role": "user"
},
{
"content": "Current State: 22:[64, 66, 54, 98], Operations: []\nExploring Operation: 98-64=34, Resulting Numbers: [66, 54, 34]\nGenerated Node #0,0: 22:[66, 54, 34] Operation: 98-64=34\nExploring Operation: 98-66=32, Resulting Numbers: [64, 54, 32]\nGenerated Node #0,1: 22:[64, 54, 32] Operation: 98-66=32\nMoving to Node #0,1\nCurrent State: 22:[64, 54, 32], Operations: ['98-66=32']\nExploring Operation: 64/32=2, Resulting Numbers: [54, 2]\nGenerated Node #0,1,0: 22:[54, 2] Operation: 64/32=2\nExploring Operation: 64-54=10, Resulting Numbers: [32, 10]\nGenerated Node #0,1,1: 22:[32, 10] Operation: 64-54=10\nMoving to Node #0,0\nCurrent State: 22:[66, 54, 34], Operations: ['98-64=34']\nExploring Operation: 66-34=32, Resulting Numbers: [54, 32]\nGenerated Node #0,0,0: 22:[54, 32] Operation: 66-34=32\nExploring Operation: 66-54=12, Resulting Numbers: [34, 12]\nGenerated Node #0,0,1: 22:[34, 12] Operation: 66-54=12\nMoving to Node #0,1,1\nCurrent State: 22:[32, 10], Operations: ['98-66=32', '64-54=10']\nExploring Operation: 32-10=22, Resulting Numbers: [22]\n22,22 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [7, 66, 59, 2] using the four basic arithmetic operations (+, -, *, /) to reach 99.",
"role": "user"
},
{
"content": "Current State: 99:[7, 66, 59, 2], Operations: []\nExploring Operation: 66-59=7, Resulting Numbers: [7, 2, 7]\nGenerated Node #0,0: 99:[7, 2, 7] Operation: 66-59=7\nExploring Operation: 66/2=33, Resulting Numbers: [7, 59, 33]\nGenerated Node #0,1: 99:[7, 59, 33] Operation: 66/2=33\nMoving to Node #0,0\nCurrent State: 99:[7, 2, 7], Operations: ['66-59=7']\nExploring Operation: 7+2=9, Resulting Numbers: [7, 9]\nGenerated Node #0,0,0: 99:[7, 9] Operation: 7+2=9\nExploring Operation: 2+7=9, Resulting Numbers: [7, 9]\nGenerated Node #0,0,1: 99:[7, 9] Operation: 2+7=9\nMoving to Node #0,1\nCurrent State: 99:[7, 59, 33], Operations: ['66/2=33']\nExploring Operation: 59-33=26, Resulting Numbers: [7, 26]\nGenerated Node #0,1,0: 99:[7, 26] Operation: 59-33=26\nExploring Operation: 59+33=92, Resulting Numbers: [7, 92]\nGenerated Node #0,1,1: 99:[7, 92] Operation: 59+33=92\nMoving to Node #0,0,0\nCurrent State: 99:[7, 9], Operations: ['66-59=7', '7+2=9']\nExploring Operation: 7+9=16, Resulting Numbers: [16]\n16,99 unequal: No Solution\nExploring Operation: 9-7=2, Resulting Numbers: [2]\n2,99 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 99:[7, 9], Operations: ['66-59=7', '2+7=9']\nExploring Operation: 9-7=2, Resulting Numbers: [2]\n2,99 unequal: No Solution\nExploring Operation: 7+9=16, Resulting Numbers: [16]\n16,99 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 99:[7, 92], Operations: ['66/2=33', '59+33=92']\nExploring Operation: 92-7=85, Resulting Numbers: [85]\n85,99 unequal: No Solution\nExploring Operation: 7+92=99, Resulting Numbers: [99]\n99,99 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [66, 38, 62, 68] using the four basic arithmetic operations (+, -, *, /) to reach 55.",
"role": "user"
},
{
"content": "Current State: 55:[66, 38, 62, 68], Operations: []\nExploring Operation: 62-38=24, Resulting Numbers: [66, 68, 24]\nGenerated Node #0,0: 55:[66, 68, 24] Operation: 62-38=24\nExploring Operation: 66-62=4, Resulting Numbers: [38, 68, 4]\nGenerated Node #0,1: 55:[38, 68, 4] Operation: 66-62=4\nExploring Operation: 68-66=2, Resulting Numbers: [38, 62, 2]\nGenerated Node #0,2: 55:[38, 62, 2] Operation: 68-66=2\nExploring Operation: 68-62=6, Resulting Numbers: [66, 38, 6]\nGenerated Node #0,3: 55:[66, 38, 6] Operation: 68-62=6\nExploring Operation: 66-38=28, Resulting Numbers: [62, 68, 28]\nGenerated Node #0,4: 55:[62, 68, 28] Operation: 66-38=28\nMoving to Node #0,2\nCurrent State: 55:[38, 62, 2], Operations: ['68-66=2']\nExploring Operation: 38+2=40, Resulting Numbers: [62, 40]\nGenerated Node #0,2,0: 55:[62, 40] Operation: 38+2=40\nExploring Operation: 38/2=19, Resulting Numbers: [62, 19]\nGenerated Node #0,2,1: 55:[62, 19] Operation: 38/2=19\nExploring Operation: 62-2=60, Resulting Numbers: [38, 60]\nGenerated Node #0,2,2: 55:[38, 60] Operation: 62-2=60\nExploring Operation: 38-2=36, Resulting Numbers: [62, 36]\nGenerated Node #0,2,3: 55:[62, 36] Operation: 38-2=36\nExploring Operation: 62-38=24, Resulting Numbers: [2, 24]\nGenerated Node #0,2,4: 55:[2, 24] Operation: 62-38=24\nMoving to Node #0,3\nCurrent State: 55:[66, 38, 6], Operations: ['68-62=6']\nExploring Operation: 38-6=32, Resulting Numbers: [66, 32]\nGenerated Node #0,3,0: 55:[66, 32] Operation: 38-6=32\nExploring Operation: 66/6=11, Resulting Numbers: [38, 11]\nGenerated Node #0,3,1: 55:[38, 11] Operation: 66/6=11\nExploring Operation: 66-6=60, Resulting Numbers: [38, 60]\nGenerated Node #0,3,2: 55:[38, 60] Operation: 66-6=60\nExploring Operation: 38+6=44, Resulting Numbers: [66, 44]\nGenerated Node #0,3,3: 55:[66, 44] Operation: 38+6=44\nExploring Operation: 66-38=28, Resulting Numbers: [6, 28]\nGenerated Node #0,3,4: 55:[6, 28] Operation: 66-38=28\nMoving to Node #0,1\nCurrent State: 55:[38, 68, 4], Operations: ['66-62=4']\nExploring Operation: 68-4=64, Resulting Numbers: [38, 64]\nGenerated Node #0,1,0: 55:[38, 64] Operation: 68-4=64\nExploring Operation: 68-38=30, Resulting Numbers: [4, 30]\nGenerated Node #0,1,1: 55:[4, 30] Operation: 68-38=30\nExploring Operation: 68/4=17, Resulting Numbers: [38, 17]\nGenerated Node #0,1,2: 55:[38, 17] Operation: 68/4=17\nExploring Operation: 38-4=34, Resulting Numbers: [68, 34]\nGenerated Node #0,1,3: 55:[68, 34] Operation: 38-4=34\nExploring Operation: 38+4=42, Resulting Numbers: [68, 42]\nGenerated Node #0,1,4: 55:[68, 42] Operation: 38+4=42\nMoving to Node #0,0\nCurrent State: 55:[66, 68, 24], Operations: ['62-38=24']\nExploring Operation: 68-24=44, Resulting Numbers: [66, 44]\nGenerated Node #0,0,0: 55:[66, 44] Operation: 68-24=44\nExploring Operation: 66+24=90, Resulting Numbers: [68, 90]\nGenerated Node #0,0,1: 55:[68, 90] Operation: 66+24=90\nExploring Operation: 66-24=42, Resulting Numbers: [68, 42]\nGenerated Node #0,0,2: 55:[68, 42] Operation: 66-24=42\nExploring Operation: 68-66=2, Resulting Numbers: [24, 2]\nGenerated Node #0,0,3: 55:[24, 2] Operation: 68-66=2\nExploring Operation: 68+24=92, Resulting Numbers: [66, 92]\nGenerated Node #0,0,4: 55:[66, 92] Operation: 68+24=92\nMoving to Node #0,4\nCurrent State: 55:[62, 68, 28], Operations: ['66-38=28']\nExploring Operation: 62+28=90, Resulting Numbers: [68, 90]\nGenerated Node #0,4,0: 55:[68, 90] Operation: 62+28=90\nExploring Operation: 68-62=6, Resulting Numbers: [28, 6]\nGenerated Node #0,4,1: 55:[28, 6] Operation: 68-62=6\nExploring Operation: 62-28=34, Resulting Numbers: [68, 34]\nGenerated Node #0,4,2: 55:[68, 34] Operation: 62-28=34\nExploring Operation: 68-28=40, Resulting Numbers: [62, 40]\nGenerated Node #0,4,3: 55:[62, 40] Operation: 68-28=40\nExploring Operation: 68+28=96, Resulting Numbers: [62, 96]\nGenerated Node #0,4,4: 55:[62, 96] Operation: 68+28=96\nMoving to Node #0,2,1\nCurrent State: 55:[62, 19], Operations: ['68-66=2', '38/2=19']\nExploring Operation: 62+19=81, Resulting Numbers: [81]\n81,55 unequal: No Solution\nExploring Operation: 62-19=43, Resulting Numbers: [43]\n43,55 unequal: No Solution\nExploring Operation: 62*19=1178, Resulting Numbers: [1178]\n1178,55 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 55:[2, 24], Operations: ['68-66=2', '62-38=24']\nExploring Operation: 24-2=22, Resulting Numbers: [22]\n22,55 unequal: No Solution\nExploring Operation: 24/2=12, Resulting Numbers: [12]\n12,55 unequal: No Solution\nExploring Operation: 2+24=26, Resulting Numbers: [26]\n26,55 unequal: No Solution\nExploring Operation: 2*24=48, Resulting Numbers: [48]\n48,55 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 55:[24, 2], Operations: ['62-38=24', '68-66=2']\nExploring Operation: 24*2=48, Resulting Numbers: [48]\n48,55 unequal: No Solution\nExploring Operation: 24+2=26, Resulting Numbers: [26]\n26,55 unequal: No Solution\nExploring Operation: 24-2=22, Resulting Numbers: [22]\n22,55 unequal: No Solution\nExploring Operation: 24/2=12, Resulting Numbers: [12]\n12,55 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 55:[38, 11], Operations: ['68-62=6', '66/6=11']\nExploring Operation: 38+11=49, Resulting Numbers: [49]\n49,55 unequal: No Solution\nExploring Operation: 38-11=27, Resulting Numbers: [27]\n27,55 unequal: No Solution\nExploring Operation: 38*11=418, Resulting Numbers: [418]\n418,55 unequal: No Solution\nMoving to Node #0,3,4\nCurrent State: 55:[6, 28], Operations: ['68-62=6', '66-38=28']\nExploring Operation: 6+28=34, Resulting Numbers: [34]\n34,55 unequal: No Solution\nExploring Operation: 6*28=168, Resulting Numbers: [168]\n168,55 unequal: No Solution\nExploring Operation: 28-6=22, Resulting Numbers: [22]\n22,55 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 55:[28, 6], Operations: ['66-38=28', '68-62=6']\nExploring Operation: 28-6=22, Resulting Numbers: [22]\n22,55 unequal: No Solution\nExploring Operation: 28*6=168, Resulting Numbers: [168]\n168,55 unequal: No Solution\nExploring Operation: 28+6=34, Resulting Numbers: [34]\n34,55 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 55:[4, 30], Operations: ['66-62=4', '68-38=30']\nExploring Operation: 30-4=26, Resulting Numbers: [26]\n26,55 unequal: No Solution\nExploring Operation: 4+30=34, Resulting Numbers: [34]\n34,55 unequal: No Solution\nExploring Operation: 4*30=120, Resulting Numbers: [120]\n120,55 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 55:[62, 40], Operations: ['68-66=2', '38+2=40']\nExploring Operation: 62*40=2480, Resulting Numbers: [2480]\n2480,55 unequal: No Solution\nExploring Operation: 62+40=102, Resulting Numbers: [102]\n102,55 unequal: No Solution\nExploring Operation: 62-40=22, Resulting Numbers: [22]\n22,55 unequal: No Solution\nMoving to Node #0,4,3\nCurrent State: 55:[62, 40], Operations: ['66-38=28', '68-28=40']\nExploring Operation: 62-40=22, Resulting Numbers: [22]\n22,55 unequal: No Solution\nExploring Operation: 62*40=2480, Resulting Numbers: [2480]\n2480,55 unequal: No Solution\nExploring Operation: 62+40=102, Resulting Numbers: [102]\n102,55 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 55:[66, 44], Operations: ['68-62=6', '38+6=44']\nExploring Operation: 66+44=110, Resulting Numbers: [110]\n110,55 unequal: No Solution\nExploring Operation: 66-44=22, Resulting Numbers: [22]\n22,55 unequal: No Solution\nExploring Operation: 66*44=2904, Resulting Numbers: [2904]\n2904,55 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 55:[38, 60], Operations: ['68-66=2', '62-2=60']\nExploring Operation: 60-38=22, Resulting Numbers: [22]\n22,55 unequal: No Solution\nExploring Operation: 38*60=2280, Resulting Numbers: [2280]\n2280,55 unequal: No Solution\nExploring Operation: 38+60=98, Resulting Numbers: [98]\n98,55 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 55:[66, 44], Operations: ['62-38=24', '68-24=44']\nExploring Operation: 66*44=2904, Resulting Numbers: [2904]\n2904,55 unequal: No Solution\nExploring Operation: 66-44=22, Resulting Numbers: [22]\n22,55 unequal: No Solution\nExploring Operation: 66+44=110, Resulting Numbers: [110]\n110,55 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 55:[38, 60], Operations: ['68-62=6', '66-6=60']\nExploring Operation: 38+60=98, Resulting Numbers: [98]\n98,55 unequal: No Solution\nExploring Operation: 38*60=2280, Resulting Numbers: [2280]\n2280,55 unequal: No Solution\nExploring Operation: 60-38=22, Resulting Numbers: [22]\n22,55 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 55:[38, 17], Operations: ['66-62=4', '68/4=17']\nExploring Operation: 38-17=21, Resulting Numbers: [21]\n21,55 unequal: No Solution\nExploring Operation: 38+17=55, Resulting Numbers: [55]\n55,55 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [79, 30, 4, 11] using the four basic arithmetic operations (+, -, *, /) to reach 26.",
"role": "user"
},
{
"content": "Current State: 26:[79, 30, 4, 11], Operations: []\nExploring Operation: 79-30=49, Resulting Numbers: [4, 11, 49]\nGenerated Node #0,0: 26:[4, 11, 49] Operation: 79-30=49\nMoving to Node #0,0\nCurrent State: 26:[4, 11, 49], Operations: ['79-30=49']\nExploring Operation: 4+11=15, Resulting Numbers: [49, 15]\nGenerated Node #0,0,0: 26:[49, 15] Operation: 4+11=15\nMoving to Node #0,0,0\nCurrent State: 26:[49, 15], Operations: ['79-30=49', '4+11=15']\nExploring Operation: 49-15=34, Resulting Numbers: [34]\n34,26 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 26:[4, 11, 49], Operations: ['79-30=49']\nExploring Operation: 49-4=45, Resulting Numbers: [11, 45]\nGenerated Node #0,0,1: 26:[11, 45] Operation: 49-4=45\nMoving to Node #0,0,1\nCurrent State: 26:[11, 45], Operations: ['79-30=49', '49-4=45']\nExploring Operation: 45-11=34, Resulting Numbers: [34]\n34,26 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 26:[4, 11, 49], Operations: ['79-30=49']\nExploring Operation: 49-11=38, Resulting Numbers: [4, 38]\nGenerated Node #0,0,2: 26:[4, 38] Operation: 49-11=38\nMoving to Node #0,0,2\nCurrent State: 26:[4, 38], Operations: ['79-30=49', '49-11=38']\nExploring Operation: 38-4=34, Resulting Numbers: [34]\n34,26 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 26:[4, 38], Operations: ['79-30=49', '49-11=38']\nExploring Operation: 4+38=42, Resulting Numbers: [42]\n42,26 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 26:[4, 11, 49], Operations: ['79-30=49']\nExploring Operation: 4*11=44, Resulting Numbers: [49, 44]\nGenerated Node #0,0,3: 26:[49, 44] Operation: 4*11=44\nMoving to Node #0,0,3\nCurrent State: 26:[49, 44], Operations: ['79-30=49', '4*11=44']\nExploring Operation: 49-44=5, Resulting Numbers: [5]\n5,26 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 26:[4, 11, 49], Operations: ['79-30=49']\nExploring Operation: 11-4=7, Resulting Numbers: [49, 7]\nGenerated Node #0,0,4: 26:[49, 7] Operation: 11-4=7\nMoving to Node #0,0,4\nCurrent State: 26:[49, 7], Operations: ['79-30=49', '11-4=7']\nExploring Operation: 49-7=42, Resulting Numbers: [42]\n42,26 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 26:[49, 7], Operations: ['79-30=49', '11-4=7']\nExploring Operation: 49/7=7, Resulting Numbers: [7]\n7,26 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 26:[4, 11, 49], Operations: ['79-30=49']\nExploring Operation: 4+49=53, Resulting Numbers: [11, 53]\nGenerated Node #0,0,5: 26:[11, 53] Operation: 4+49=53\nMoving to Node #0,0,5\nCurrent State: 26:[11, 53], Operations: ['79-30=49', '4+49=53']\nExploring Operation: 53-11=42, Resulting Numbers: [42]\n42,26 unequal: No Solution\nMoving to Node #0\nCurrent State: 26:[79, 30, 4, 11], Operations: []\nExploring Operation: 79-4=75, Resulting Numbers: [30, 11, 75]\nGenerated Node #0,1: 26:[30, 11, 75] Operation: 79-4=75\nMoving to Node #0,1\nCurrent State: 26:[30, 11, 75], Operations: ['79-4=75']\nExploring Operation: 75-30=45, Resulting Numbers: [11, 45]\nGenerated Node #0,1,0: 26:[11, 45] Operation: 75-30=45\nMoving to Node #0,1,0\nCurrent State: 26:[11, 45], Operations: ['79-4=75', '75-30=45']\nExploring Operation: 45-11=34, Resulting Numbers: [34]\n34,26 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 26:[30, 11, 75], Operations: ['79-4=75']\nExploring Operation: 75-11=64, Resulting Numbers: [30, 64]\nGenerated Node #0,1,1: 26:[30, 64] Operation: 75-11=64\nMoving to Node #0,1,1\nCurrent State: 26:[30, 64], Operations: ['79-4=75', '75-11=64']\nExploring Operation: 64-30=34, Resulting Numbers: [34]\n34,26 unequal: No Solution\nMoving to Node #0\nCurrent State: 26:[79, 30, 4, 11], Operations: []\nExploring Operation: 79-11=68, Resulting Numbers: [30, 4, 68]\nGenerated Node #0,2: 26:[30, 4, 68] Operation: 79-11=68\nMoving to Node #0,2\nCurrent State: 26:[30, 4, 68], Operations: ['79-11=68']\nExploring Operation: 68/4=17, Resulting Numbers: [30, 17]\nGenerated Node #0,2,0: 26:[30, 17] Operation: 68/4=17\nMoving to Node #0,2,0\nCurrent State: 26:[30, 17], Operations: ['79-11=68', '68/4=17']\nExploring Operation: 30-17=13, Resulting Numbers: [13]\n13,26 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 26:[30, 17], Operations: ['79-11=68', '68/4=17']\nExploring Operation: 30+17=47, Resulting Numbers: [47]\n47,26 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 26:[30, 4, 68], Operations: ['79-11=68']\nExploring Operation: 68-30=38, Resulting Numbers: [4, 38]\nGenerated Node #0,2,1: 26:[4, 38] Operation: 68-30=38\nMoving to Node #0,2,1\nCurrent State: 26:[4, 38], Operations: ['79-11=68', '68-30=38']\nExploring Operation: 38-4=34, Resulting Numbers: [34]\n34,26 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 26:[4, 38], Operations: ['79-11=68', '68-30=38']\nExploring Operation: 4+38=42, Resulting Numbers: [42]\n42,26 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 26:[30, 4, 68], Operations: ['79-11=68']\nExploring Operation: 30-4=26, Resulting Numbers: [68, 26]\nGenerated Node #0,2,2: 26:[68, 26] Operation: 30-4=26\nMoving to Node #0,2,2\nCurrent State: 26:[68, 26], Operations: ['79-11=68', '30-4=26']\nExploring Operation: 68-26=42, Resulting Numbers: [42]\n42,26 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 26:[30, 4, 68], Operations: ['79-11=68']\nExploring Operation: 68-4=64, Resulting Numbers: [30, 64]\nGenerated Node #0,2,3: 26:[30, 64] Operation: 68-4=64\nMoving to Node #0,2,3\nCurrent State: 26:[30, 64], Operations: ['79-11=68', '68-4=64']\nExploring Operation: 64-30=34, Resulting Numbers: [34]\n34,26 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 26:[30, 4, 68], Operations: ['79-11=68']\nExploring Operation: 30+4=34, Resulting Numbers: [68, 34]\nGenerated Node #0,2,4: 26:[68, 34] Operation: 30+4=34\nMoving to Node #0,2,4\nCurrent State: 26:[68, 34], Operations: ['79-11=68', '30+4=34']\nExploring Operation: 68-34=34, Resulting Numbers: [34]\n34,26 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 26:[68, 34], Operations: ['79-11=68', '30+4=34']\nExploring Operation: 68/34=2, Resulting Numbers: [2]\n2,26 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 26:[30, 4, 68], Operations: ['79-11=68']\nExploring Operation: 4+68=72, Resulting Numbers: [30, 72]\nGenerated Node #0,2,5: 26:[30, 72] Operation: 4+68=72\nMoving to Node #0,2,5\nCurrent State: 26:[30, 72], Operations: ['79-11=68', '4+68=72']\nExploring Operation: 72-30=42, Resulting Numbers: [42]\n42,26 unequal: No Solution\nMoving to Node #0\nCurrent State: 26:[79, 30, 4, 11], Operations: []\nExploring Operation: 30-4=26, Resulting Numbers: [79, 11, 26]\nGenerated Node #0,3: 26:[79, 11, 26] Operation: 30-4=26\nMoving to Node #0,3\nCurrent State: 26:[79, 11, 26], Operations: ['30-4=26']\nExploring Operation: 79-11=68, Resulting Numbers: [26, 68]\nGenerated Node #0,3,0: 26:[26, 68] Operation: 79-11=68\nMoving to Node #0,3,0\nCurrent State: 26:[26, 68], Operations: ['30-4=26', '79-11=68']\nExploring Operation: 68-26=42, Resulting Numbers: [42]\n42,26 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 26:[79, 11, 26], Operations: ['30-4=26']\nExploring Operation: 79-26=53, Resulting Numbers: [11, 53]\nGenerated Node #0,3,1: 26:[11, 53] Operation: 79-26=53\nMoving to Node #0,3,1\nCurrent State: 26:[11, 53], Operations: ['30-4=26', '79-26=53']\nExploring Operation: 53-11=42, Resulting Numbers: [42]\n42,26 unequal: No Solution\nMoving to Node #0\nCurrent State: 26:[79, 30, 4, 11], Operations: []\nExploring Operation: 4+11=15, Resulting Numbers: [79, 30, 15]\nGenerated Node #0,4: 26:[79, 30, 15] Operation: 4+11=15\nMoving to Node #0,4\nCurrent State: 26:[79, 30, 15], Operations: ['4+11=15']\nExploring Operation: 79-30=49, Resulting Numbers: [15, 49]\nGenerated Node #0,4,0: 26:[15, 49] Operation: 79-30=49\nMoving to Node #0,4,0\nCurrent State: 26:[15, 49], Operations: ['4+11=15', '79-30=49']\nExploring Operation: 49-15=34, Resulting Numbers: [34]\n34,26 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 26:[79, 30, 15], Operations: ['4+11=15']\nExploring Operation: 79-15=64, Resulting Numbers: [30, 64]\nGenerated Node #0,4,1: 26:[30, 64] Operation: 79-15=64\nMoving to Node #0,4,1\nCurrent State: 26:[30, 64], Operations: ['4+11=15', '79-15=64']\nExploring Operation: 64-30=34, Resulting Numbers: [34]\n34,26 unequal: No Solution\nMoving to Node #0\nCurrent State: 26:[79, 30, 4, 11], Operations: []\nExploring Operation: 4*11=44, Resulting Numbers: [79, 30, 44]\nGenerated Node #0,5: 26:[79, 30, 44] Operation: 4*11=44\nMoving to Node #0,5\nCurrent State: 26:[79, 30, 44], Operations: ['4*11=44']\nExploring Operation: 79-44=35, Resulting Numbers: [30, 35]\nGenerated Node #0,5,0: 26:[30, 35] Operation: 79-44=35\nMoving to Node #0,5,0\nCurrent State: 26:[30, 35], Operations: ['4*11=44', '79-44=35']\nExploring Operation: 35-30=5, Resulting Numbers: [5]\n5,26 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 26:[79, 30, 44], Operations: ['4*11=44']\nExploring Operation: 79-30=49, Resulting Numbers: [44, 49]\nGenerated Node #0,5,1: 26:[44, 49] Operation: 79-30=49\nMoving to Node #0,5,1\nCurrent State: 26:[44, 49], Operations: ['4*11=44', '79-30=49']\nExploring Operation: 49-44=5, Resulting Numbers: [5]\n5,26 unequal: No Solution\nMoving to Node #0\nCurrent State: 26:[79, 30, 4, 11], Operations: []\nExploring Operation: 79+4=83, Resulting Numbers: [30, 11, 83]\nGenerated Node #0,6: 26:[30, 11, 83] Operation: 79+4=83\nMoving to Node #0,6\nCurrent State: 26:[30, 11, 83], Operations: ['79+4=83']\nExploring Operation: 83-30=53, Resulting Numbers: [11, 53]\nGenerated Node #0,6,0: 26:[11, 53] Operation: 83-30=53\nMoving to Node #0,6,0\nCurrent State: 26:[11, 53], Operations: ['79+4=83', '83-30=53']\nExploring Operation: 53-11=42, Resulting Numbers: [42]\n42,26 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 26:[30, 11, 83], Operations: ['79+4=83']\nExploring Operation: 83-11=72, Resulting Numbers: [30, 72]\nGenerated Node #0,6,1: 26:[30, 72] Operation: 83-11=72\nMoving to Node #0,6,1\nCurrent State: 26:[30, 72], Operations: ['79+4=83', '83-11=72']\nExploring Operation: 72-30=42, Resulting Numbers: [42]\n42,26 unequal: No Solution\nMoving to Node #0\nCurrent State: 26:[79, 30, 4, 11], Operations: []\nExploring Operation: 30+4=34, Resulting Numbers: [79, 11, 34]\nGenerated Node #0,7: 26:[79, 11, 34] Operation: 30+4=34\nMoving to Node #0,7\nCurrent State: 26:[79, 11, 34], Operations: ['30+4=34']\nExploring Operation: 79-34=45, Resulting Numbers: [11, 45]\nGenerated Node #0,7,0: 26:[11, 45] Operation: 79-34=45\nMoving to Node #0,7,0\nCurrent State: 26:[11, 45], Operations: ['30+4=34', '79-34=45']\nExploring Operation: 45-11=34, Resulting Numbers: [34]\n34,26 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 26:[79, 11, 34], Operations: ['30+4=34']\nExploring Operation: 79-11=68, Resulting Numbers: [34, 68]\nGenerated Node #0,7,1: 26:[34, 68] Operation: 79-11=68\nMoving to Node #0,7,1\nCurrent State: 26:[34, 68], Operations: ['30+4=34', '79-11=68']\nExploring Operation: 68-34=34, Resulting Numbers: [34]\n34,26 unequal: No Solution\nMoving to Node #0,7,1\nCurrent State: 26:[34, 68], Operations: ['30+4=34', '79-11=68']\nExploring Operation: 68/34=2, Resulting Numbers: [2]\n2,26 unequal: No Solution\nMoving to Node #0\nCurrent State: 26:[79, 30, 4, 11], Operations: []\nExploring Operation: 11-4=7, Resulting Numbers: [79, 30, 7]\nGenerated Node #0,8: 26:[79, 30, 7] Operation: 11-4=7\nMoving to Node #0,8\nCurrent State: 26:[79, 30, 7], Operations: ['11-4=7']\nExploring Operation: 79-30=49, Resulting Numbers: [7, 49]\nGenerated Node #0,8,0: 26:[7, 49] Operation: 79-30=49\nMoving to Node #0,8,0\nCurrent State: 26:[7, 49], Operations: ['11-4=7', '79-30=49']\nExploring Operation: 49-7=42, Resulting Numbers: [42]\n42,26 unequal: No Solution\nMoving to Node #0,8,0\nCurrent State: 26:[7, 49], Operations: ['11-4=7', '79-30=49']\nExploring Operation: 49/7=7, Resulting Numbers: [7]\n7,26 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 26:[79, 30, 7], Operations: ['11-4=7']\nExploring Operation: 79-7=72, Resulting Numbers: [30, 72]\nGenerated Node #0,8,1: 26:[30, 72] Operation: 79-7=72\nMoving to Node #0,8,1\nCurrent State: 26:[30, 72], Operations: ['11-4=7', '79-7=72']\nExploring Operation: 72-30=42, Resulting Numbers: [42]\n42,26 unequal: No Solution\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [20, 34, 68, 48] using the four basic arithmetic operations (+, -, *, /) to reach 58.",
"role": "user"
},
{
"content": "Current State: 58:[20, 34, 68, 48], Operations: []\nExploring Operation: 20+34=54, Resulting Numbers: [68, 48, 54]\nGenerated Node #0,0: 58:[68, 48, 54] Operation: 20+34=54\nMoving to Node #0,0\nCurrent State: 58:[68, 48, 54], Operations: ['20+34=54']\nExploring Operation: 68-48=20, Resulting Numbers: [54, 20]\nGenerated Node #0,0,0: 58:[54, 20] Operation: 68-48=20\nMoving to Node #0,0,0\nCurrent State: 58:[54, 20], Operations: ['20+34=54', '68-48=20']\nExploring Operation: 54+20=74, Resulting Numbers: [74]\n74,58 unequal: No Solution\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [24, 69, 20, 23] using the four basic arithmetic operations (+, -, *, /) to reach 42.",
"role": "user"
},
{
"content": "Current State: 42:[24, 69, 20, 23], Operations: []\nExploring Operation: 69/23=3, Resulting Numbers: [24, 20, 3]\nGenerated Node #0,0: 42:[24, 20, 3] Operation: 69/23=3\nMoving to Node #0,0\nCurrent State: 42:[24, 20, 3], Operations: ['69/23=3']\nExploring Operation: 24-20=4, Resulting Numbers: [3, 4]\nGenerated Node #0,0,0: 42:[3, 4] Operation: 24-20=4\nMoving to Node #0,0,0\nCurrent State: 42:[3, 4], Operations: ['69/23=3', '24-20=4']\nExploring Operation: 3+4=7, Resulting Numbers: [7]\n7,42 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 42:[3, 4], Operations: ['69/23=3', '24-20=4']\nExploring Operation: 4-3=1, Resulting Numbers: [1]\n1,42 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 42:[3, 4], Operations: ['69/23=3', '24-20=4']\nExploring Operation: 3*4=12, Resulting Numbers: [12]\n12,42 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 42:[24, 20, 3], Operations: ['69/23=3']\nExploring Operation: 24-3=21, Resulting Numbers: [20, 21]\nGenerated Node #0,0,1: 42:[20, 21] Operation: 24-3=21\nMoving to Node #0,0,1\nCurrent State: 42:[20, 21], Operations: ['69/23=3', '24-3=21']\nExploring Operation: 20+21=41, Resulting Numbers: [41]\n41,42 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 42:[20, 21], Operations: ['69/23=3', '24-3=21']\nExploring Operation: 21-20=1, Resulting Numbers: [1]\n1,42 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 42:[24, 20, 3], Operations: ['69/23=3']\nExploring Operation: 24+20=44, Resulting Numbers: [3, 44]\nGenerated Node #0,0,2: 42:[3, 44] Operation: 24+20=44\nMoving to Node #0,0,2\nCurrent State: 42:[3, 44], Operations: ['69/23=3', '24+20=44']\nExploring Operation: 44-3=41, Resulting Numbers: [41]\n41,42 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 42:[3, 44], Operations: ['69/23=3', '24+20=44']\nExploring Operation: 3+44=47, Resulting Numbers: [47]\n47,42 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 42:[24, 20, 3], Operations: ['69/23=3']\nExploring Operation: 24/3=8, Resulting Numbers: [20, 8]\nGenerated Node #0,0,3: 42:[20, 8] Operation: 24/3=8\nMoving to Node #0,0,3\nCurrent State: 42:[20, 8], Operations: ['69/23=3', '24/3=8']\nExploring Operation: 20-8=12, Resulting Numbers: [12]\n12,42 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 42:[20, 8], Operations: ['69/23=3', '24/3=8']\nExploring Operation: 20+8=28, Resulting Numbers: [28]\n28,42 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 42:[24, 20, 3], Operations: ['69/23=3']\nExploring Operation: 20+3=23, Resulting Numbers: [24, 23]\nGenerated Node #0,0,4: 42:[24, 23] Operation: 20+3=23\nMoving to Node #0,0,4\nCurrent State: 42:[24, 23], Operations: ['69/23=3', '20+3=23']\nExploring Operation: 24-23=1, Resulting Numbers: [1]\n1,42 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 42:[24, 23], Operations: ['69/23=3', '20+3=23']\nExploring Operation: 24+23=47, Resulting Numbers: [47]\n47,42 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 42:[24, 20, 3], Operations: ['69/23=3']\nExploring Operation: 20-3=17, Resulting Numbers: [24, 17]\nGenerated Node #0,0,5: 42:[24, 17] Operation: 20-3=17\nMoving to Node #0,0,5\nCurrent State: 42:[24, 17], Operations: ['69/23=3', '20-3=17']\nExploring Operation: 24-17=7, Resulting Numbers: [7]\n7,42 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 42:[24, 17], Operations: ['69/23=3', '20-3=17']\nExploring Operation: 24+17=41, Resulting Numbers: [41]\n41,42 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 42:[24, 20, 3], Operations: ['69/23=3']\nExploring Operation: 24+3=27, Resulting Numbers: [20, 27]\nGenerated Node #0,0,6: 42:[20, 27] Operation: 24+3=27\nMoving to Node #0,0,6\nCurrent State: 42:[20, 27], Operations: ['69/23=3', '24+3=27']\nExploring Operation: 27-20=7, Resulting Numbers: [7]\n7,42 unequal: No Solution\nMoving to Node #0,0,6\nCurrent State: 42:[20, 27], Operations: ['69/23=3', '24+3=27']\nExploring Operation: 20+27=47, Resulting Numbers: [47]\n47,42 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 42:[24, 20, 3], Operations: ['69/23=3']\nExploring Operation: 20*3=60, Resulting Numbers: [24, 60]\nGenerated Node #0,0,7: 42:[24, 60] Operation: 20*3=60\nMoving to Node #0,0,7\nCurrent State: 42:[24, 60], Operations: ['69/23=3', '20*3=60']\nExploring Operation: 60-24=36, Resulting Numbers: [36]\n36,42 unequal: No Solution\nMoving to Node #0,0,7\nCurrent State: 42:[24, 60], Operations: ['69/23=3', '20*3=60']\nExploring Operation: 24+60=84, Resulting Numbers: [84]\n84,42 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 42:[24, 20, 3], Operations: ['69/23=3']\nExploring Operation: 24*3=72, Resulting Numbers: [20, 72]\nGenerated Node #0,0,8: 42:[20, 72] Operation: 24*3=72\nMoving to Node #0,0,8\nCurrent State: 42:[20, 72], Operations: ['69/23=3', '24*3=72']\nExploring Operation: 72-20=52, Resulting Numbers: [52]\n52,42 unequal: No Solution\nMoving to Node #0\nCurrent State: 42:[24, 69, 20, 23], Operations: []\nExploring Operation: 69-24=45, Resulting Numbers: [20, 23, 45]\nGenerated Node #0,1: 42:[20, 23, 45] Operation: 69-24=45\nMoving to Node #0,1\nCurrent State: 42:[20, 23, 45], Operations: ['69-24=45']\nExploring Operation: 45-23=22, Resulting Numbers: [20, 22]\nGenerated Node #0,1,0: 42:[20, 22] Operation: 45-23=22\nMoving to Node #0,1,0\nCurrent State: 42:[20, 22], Operations: ['69-24=45', '45-23=22']\nExploring Operation: 20+22=42, Resulting Numbers: [42]\n42,42 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [82, 77, 43, 53] using the four basic arithmetic operations (+, -, *, /) to reach 91.",
"role": "user"
},
{
"content": "Current State: 91:[82, 77, 43, 53], Operations: []\nExploring Operation: 77+43=120, Resulting Numbers: [82, 53, 120]\nGenerated Node #0,0: 91:[82, 53, 120] Operation: 77+43=120\nExploring Operation: 43+53=96, Resulting Numbers: [82, 77, 96]\nGenerated Node #0,1: 91:[82, 77, 96] Operation: 43+53=96\nExploring Operation: 82+43=125, Resulting Numbers: [77, 53, 125]\nGenerated Node #0,2: 91:[77, 53, 125] Operation: 82+43=125\nMoving to Node #0,1\nCurrent State: 91:[82, 77, 96], Operations: ['43+53=96']\nExploring Operation: 82-77=5, Resulting Numbers: [96, 5]\nGenerated Node #0,1,0: 91:[96, 5] Operation: 82-77=5\nExploring Operation: 82+77=159, Resulting Numbers: [96, 159]\nGenerated Node #0,1,1: 91:[96, 159] Operation: 82+77=159\nExploring Operation: 96-77=19, Resulting Numbers: [82, 19]\nGenerated Node #0,1,2: 91:[82, 19] Operation: 96-77=19\nMoving to Node #0,0\nCurrent State: 91:[82, 53, 120], Operations: ['77+43=120']\nExploring Operation: 120-53=67, Resulting Numbers: [82, 67]\nGenerated Node #0,0,0: 91:[82, 67] Operation: 120-53=67\nExploring Operation: 82+53=135, Resulting Numbers: [120, 135]\nGenerated Node #0,0,1: 91:[120, 135] Operation: 82+53=135\nExploring Operation: 82-53=29, Resulting Numbers: [120, 29]\nGenerated Node #0,0,2: 91:[120, 29] Operation: 82-53=29\nMoving to Node #0,2\nCurrent State: 91:[77, 53, 125], Operations: ['82+43=125']\nExploring Operation: 77+53=130, Resulting Numbers: [125, 130]\nGenerated Node #0,2,0: 91:[125, 130] Operation: 77+53=130\nExploring Operation: 125-77=48, Resulting Numbers: [53, 48]\nGenerated Node #0,2,1: 91:[53, 48] Operation: 125-77=48\nExploring Operation: 125-53=72, Resulting Numbers: [77, 72]\nGenerated Node #0,2,2: 91:[77, 72] Operation: 125-53=72\nMoving to Node #0,0,0\nCurrent State: 91:[82, 67], Operations: ['77+43=120', '120-53=67']\nExploring Operation: 82-67=15, Resulting Numbers: [15]\n15,91 unequal: No Solution\nExploring Operation: 82+67=149, Resulting Numbers: [149]\n149,91 unequal: No Solution\nExploring Operation: 82*67=5494, Resulting Numbers: [5494]\n5494,91 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 91:[77, 72], Operations: ['82+43=125', '125-53=72']\nExploring Operation: 77-72=5, Resulting Numbers: [5]\n5,91 unequal: No Solution\nExploring Operation: 77*72=5544, Resulting Numbers: [5544]\n5544,91 unequal: No Solution\nExploring Operation: 77+72=149, Resulting Numbers: [149]\n149,91 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 91:[96, 159], Operations: ['43+53=96', '82+77=159']\nExploring Operation: 96*159=15264, Resulting Numbers: [15264]\n15264,91 unequal: No Solution\nExploring Operation: 96+159=255, Resulting Numbers: [255]\n255,91 unequal: No Solution\nExploring Operation: 159-96=63, Resulting Numbers: [63]\n63,91 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 91:[120, 135], Operations: ['77+43=120', '82+53=135']\nExploring Operation: 120+135=255, Resulting Numbers: [255]\n255,91 unequal: No Solution\nExploring Operation: 135-120=15, Resulting Numbers: [15]\n15,91 unequal: No Solution\nExploring Operation: 120*135=16200, Resulting Numbers: [16200]\n16200,91 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 91:[125, 130], Operations: ['82+43=125', '77+53=130']\nExploring Operation: 125*130=16250, Resulting Numbers: [16250]\n16250,91 unequal: No Solution\nExploring Operation: 130-125=5, Resulting Numbers: [5]\n5,91 unequal: No Solution\nExploring Operation: 125+130=255, Resulting Numbers: [255]\n255,91 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 91:[53, 48], Operations: ['82+43=125', '125-77=48']\nExploring Operation: 53-48=5, Resulting Numbers: [5]\n5,91 unequal: No Solution\nExploring Operation: 53*48=2544, Resulting Numbers: [2544]\n2544,91 unequal: No Solution\nExploring Operation: 53+48=101, Resulting Numbers: [101]\n101,91 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 91:[82, 19], Operations: ['43+53=96', '96-77=19']\nExploring Operation: 82*19=1558, Resulting Numbers: [1558]\n1558,91 unequal: No Solution\nExploring Operation: 82+19=101, Resulting Numbers: [101]\n101,91 unequal: No Solution\nExploring Operation: 82-19=63, Resulting Numbers: [63]\n63,91 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 91:[96, 5], Operations: ['43+53=96', '82-77=5']\nExploring Operation: 96+5=101, Resulting Numbers: [101]\n101,91 unequal: No Solution\nExploring Operation: 96*5=480, Resulting Numbers: [480]\n480,91 unequal: No Solution\nExploring Operation: 96-5=91, Resulting Numbers: [91]\n91,91 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [54, 88, 72, 70] using the four basic arithmetic operations (+, -, *, /) to reach 20.",
"role": "user"
},
{
"content": "Current State: 20:[54, 88, 72, 70], Operations: []\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [56, 42, 44, 36] using the four basic arithmetic operations (+, -, *, /) to reach 76.",
"role": "user"
},
{
"content": "Current State: 76:[56, 42, 44, 36], Operations: []\nExploring Operation: 42+36=78, Resulting Numbers: [56, 44, 78]\nGenerated Node #0,0: 76:[56, 44, 78] Operation: 42+36=78\nMoving to Node #0,0\nCurrent State: 76:[56, 44, 78], Operations: ['42+36=78']\nExploring Operation: 56+44=100, Resulting Numbers: [78, 100]\nGenerated Node #0,0,0: 76:[78, 100] Operation: 56+44=100\nMoving to Node #0,0,0\nCurrent State: 76:[78, 100], Operations: ['42+36=78', '56+44=100']\nExploring Operation: 100-78=22, Resulting Numbers: [22]\n22,76 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 76:[56, 44, 78], Operations: ['42+36=78']\nExploring Operation: 78-44=34, Resulting Numbers: [56, 34]\nGenerated Node #0,0,1: 76:[56, 34] Operation: 78-44=34\nMoving to Node #0,0,1\nCurrent State: 76:[56, 34], Operations: ['42+36=78', '78-44=34']\nExploring Operation: 56+34=90, Resulting Numbers: [90]\n90,76 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 76:[56, 34], Operations: ['42+36=78', '78-44=34']\nExploring Operation: 56-34=22, Resulting Numbers: [22]\n22,76 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 76:[56, 44, 78], Operations: ['42+36=78']\nExploring Operation: 56-44=12, Resulting Numbers: [78, 12]\nGenerated Node #0,0,2: 76:[78, 12] Operation: 56-44=12\nMoving to Node #0,0,2\nCurrent State: 76:[78, 12], Operations: ['42+36=78', '56-44=12']\nExploring Operation: 78-12=66, Resulting Numbers: [66]\n66,76 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 76:[78, 12], Operations: ['42+36=78', '56-44=12']\nExploring Operation: 78+12=90, Resulting Numbers: [90]\n90,76 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 76:[56, 44, 78], Operations: ['42+36=78']\nExploring Operation: 44+78=122, Resulting Numbers: [56, 122]\nGenerated Node #0,0,3: 76:[56, 122] Operation: 44+78=122\nMoving to Node #0,0,3\nCurrent State: 76:[56, 122], Operations: ['42+36=78', '44+78=122']\nExploring Operation: 122-56=66, Resulting Numbers: [66]\n66,76 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 76:[56, 44, 78], Operations: ['42+36=78']\nExploring Operation: 78-56=22, Resulting Numbers: [44, 22]\nGenerated Node #0,0,4: 76:[44, 22] Operation: 78-56=22\nMoving to Node #0,0,4\nCurrent State: 76:[44, 22], Operations: ['42+36=78', '78-56=22']\nExploring Operation: 44+22=66, Resulting Numbers: [66]\n66,76 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 76:[44, 22], Operations: ['42+36=78', '78-56=22']\nExploring Operation: 44-22=22, Resulting Numbers: [22]\n22,76 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 76:[44, 22], Operations: ['42+36=78', '78-56=22']\nExploring Operation: 44/22=2, Resulting Numbers: [2]\n2,76 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 76:[56, 44, 78], Operations: ['42+36=78']\nExploring Operation: 56+78=134, Resulting Numbers: [44, 134]\nGenerated Node #0,0,5: 76:[44, 134] Operation: 56+78=134\nMoving to Node #0,0,5\nCurrent State: 76:[44, 134], Operations: ['42+36=78', '56+78=134']\nExploring Operation: 134-44=90, Resulting Numbers: [90]\n90,76 unequal: No Solution\nMoving to Node #0\nCurrent State: 76:[56, 42, 44, 36], Operations: []\nExploring Operation: 44+36=80, Resulting Numbers: [56, 42, 80]\nGenerated Node #0,1: 76:[56, 42, 80] Operation: 44+36=80\nMoving to Node #0,1\nCurrent State: 76:[56, 42, 80], Operations: ['44+36=80']\nExploring Operation: 56+42=98, Resulting Numbers: [80, 98]\nGenerated Node #0,1,0: 76:[80, 98] Operation: 56+42=98\nMoving to Node #0,1,0\nCurrent State: 76:[80, 98], Operations: ['44+36=80', '56+42=98']\nExploring Operation: 98-80=18, Resulting Numbers: [18]\n18,76 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 76:[56, 42, 80], Operations: ['44+36=80']\nExploring Operation: 80-42=38, Resulting Numbers: [56, 38]\nGenerated Node #0,1,1: 76:[56, 38] Operation: 80-42=38\nMoving to Node #0,1,1\nCurrent State: 76:[56, 38], Operations: ['44+36=80', '80-42=38']\nExploring Operation: 56+38=94, Resulting Numbers: [94]\n94,76 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 76:[56, 38], Operations: ['44+36=80', '80-42=38']\nExploring Operation: 56-38=18, Resulting Numbers: [18]\n18,76 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 76:[56, 42, 80], Operations: ['44+36=80']\nExploring Operation: 56-42=14, Resulting Numbers: [80, 14]\nGenerated Node #0,1,2: 76:[80, 14] Operation: 56-42=14\nMoving to Node #0,1,2\nCurrent State: 76:[80, 14], Operations: ['44+36=80', '56-42=14']\nExploring Operation: 80-14=66, Resulting Numbers: [66]\n66,76 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 76:[80, 14], Operations: ['44+36=80', '56-42=14']\nExploring Operation: 80+14=94, Resulting Numbers: [94]\n94,76 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 76:[56, 42, 80], Operations: ['44+36=80']\nExploring Operation: 42+80=122, Resulting Numbers: [56, 122]\nGenerated Node #0,1,3: 76:[56, 122] Operation: 42+80=122\nMoving to Node #0,1,3\nCurrent State: 76:[56, 122], Operations: ['44+36=80', '42+80=122']\nExploring Operation: 122-56=66, Resulting Numbers: [66]\n66,76 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 76:[56, 42, 80], Operations: ['44+36=80']\nExploring Operation: 80-56=24, Resulting Numbers: [42, 24]\nGenerated Node #0,1,4: 76:[42, 24] Operation: 80-56=24\nMoving to Node #0,1,4\nCurrent State: 76:[42, 24], Operations: ['44+36=80', '80-56=24']\nExploring Operation: 42+24=66, Resulting Numbers: [66]\n66,76 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 76:[42, 24], Operations: ['44+36=80', '80-56=24']\nExploring Operation: 42-24=18, Resulting Numbers: [18]\n18,76 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 76:[56, 42, 80], Operations: ['44+36=80']\nExploring Operation: 56+80=136, Resulting Numbers: [42, 136]\nGenerated Node #0,1,5: 76:[42, 136] Operation: 56+80=136\nMoving to Node #0,1,5\nCurrent State: 76:[42, 136], Operations: ['44+36=80', '56+80=136']\nExploring Operation: 136-42=94, Resulting Numbers: [94]\n94,76 unequal: No Solution\nMoving to Node #0\nCurrent State: 76:[56, 42, 44, 36], Operations: []\nExploring Operation: 42+44=86, Resulting Numbers: [56, 36, 86]\nGenerated Node #0,2: 76:[56, 36, 86] Operation: 42+44=86\nMoving to Node #0,2\nCurrent State: 76:[56, 36, 86], Operations: ['42+44=86']\nExploring Operation: 56+36=92, Resulting Numbers: [86, 92]\nGenerated Node #0,2,0: 76:[86, 92] Operation: 56+36=92\nMoving to Node #0,2,0\nCurrent State: 76:[86, 92], Operations: ['42+44=86', '56+36=92']\nExploring Operation: 92-86=6, Resulting Numbers: [6]\n6,76 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 76:[56, 36, 86], Operations: ['42+44=86']\nExploring Operation: 86-36=50, Resulting Numbers: [56, 50]\nGenerated Node #0,2,1: 76:[56, 50] Operation: 86-36=50\nMoving to Node #0,2,1\nCurrent State: 76:[56, 50], Operations: ['42+44=86', '86-36=50']\nExploring Operation: 56+50=106, Resulting Numbers: [106]\n106,76 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 76:[56, 50], Operations: ['42+44=86', '86-36=50']\nExploring Operation: 56-50=6, Resulting Numbers: [6]\n6,76 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 76:[56, 36, 86], Operations: ['42+44=86']\nExploring Operation: 56-36=20, Resulting Numbers: [86, 20]\nGenerated Node #0,2,2: 76:[86, 20] Operation: 56-36=20\nMoving to Node #0,2,2\nCurrent State: 76:[86, 20], Operations: ['42+44=86', '56-36=20']\nExploring Operation: 86-20=66, Resulting Numbers: [66]\n66,76 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 76:[86, 20], Operations: ['42+44=86', '56-36=20']\nExploring Operation: 86+20=106, Resulting Numbers: [106]\n106,76 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 76:[56, 36, 86], Operations: ['42+44=86']\nExploring Operation: 36+86=122, Resulting Numbers: [56, 122]\nGenerated Node #0,2,3: 76:[56, 122] Operation: 36+86=122\nMoving to Node #0,2,3\nCurrent State: 76:[56, 122], Operations: ['42+44=86', '36+86=122']\nExploring Operation: 122-56=66, Resulting Numbers: [66]\n66,76 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 76:[56, 36, 86], Operations: ['42+44=86']\nExploring Operation: 86-56=30, Resulting Numbers: [36, 30]\nGenerated Node #0,2,4: 76:[36, 30] Operation: 86-56=30\nMoving to Node #0,2,4\nCurrent State: 76:[36, 30], Operations: ['42+44=86', '86-56=30']\nExploring Operation: 36+30=66, Resulting Numbers: [66]\n66,76 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 76:[36, 30], Operations: ['42+44=86', '86-56=30']\nExploring Operation: 36-30=6, Resulting Numbers: [6]\n6,76 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 76:[56, 36, 86], Operations: ['42+44=86']\nExploring Operation: 56+86=142, Resulting Numbers: [36, 142]\nGenerated Node #0,2,5: 76:[36, 142] Operation: 56+86=142\nMoving to Node #0,2,5\nCurrent State: 76:[36, 142], Operations: ['42+44=86', '56+86=142']\nExploring Operation: 142-36=106, Resulting Numbers: [106]\n106,76 unequal: No Solution\nMoving to Node #0\nCurrent State: 76:[56, 42, 44, 36], Operations: []\nExploring Operation: 56+36=92, Resulting Numbers: [42, 44, 92]\nGenerated Node #0,3: 76:[42, 44, 92] Operation: 56+36=92\nMoving to Node #0,3\nCurrent State: 76:[42, 44, 92], Operations: ['56+36=92']\nExploring Operation: 42+44=86, Resulting Numbers: [92, 86]\nGenerated Node #0,3,0: 76:[92, 86] Operation: 42+44=86\nMoving to Node #0,3,0\nCurrent State: 76:[92, 86], Operations: ['56+36=92', '42+44=86']\nExploring Operation: 92-86=6, Resulting Numbers: [6]\n6,76 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 76:[42, 44, 92], Operations: ['56+36=92']\nExploring Operation: 92-42=50, Resulting Numbers: [44, 50]\nGenerated Node #0,3,1: 76:[44, 50] Operation: 92-42=50\nMoving to Node #0,3,1\nCurrent State: 76:[44, 50], Operations: ['56+36=92', '92-42=50']\nExploring Operation: 44+50=94, Resulting Numbers: [94]\n94,76 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 76:[44, 50], Operations: ['56+36=92', '92-42=50']\nExploring Operation: 50-44=6, Resulting Numbers: [6]\n6,76 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 76:[42, 44, 92], Operations: ['56+36=92']\nExploring Operation: 92-44=48, Resulting Numbers: [42, 48]\nGenerated Node #0,3,2: 76:[42, 48] Operation: 92-44=48\nMoving to Node #0,3,2\nCurrent State: 76:[42, 48], Operations: ['56+36=92', '92-44=48']\nExploring Operation: 42+48=90, Resulting Numbers: [90]\n90,76 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 76:[42, 48], Operations: ['56+36=92', '92-44=48']\nExploring Operation: 48-42=6, Resulting Numbers: [6]\n6,76 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 76:[42, 44, 92], Operations: ['56+36=92']\nExploring Operation: 44-42=2, Resulting Numbers: [92, 2]\nGenerated Node #0,3,3: 76:[92, 2] Operation: 44-42=2\nMoving to Node #0,3,3\nCurrent State: 76:[92, 2], Operations: ['56+36=92', '44-42=2']\nExploring Operation: 92-2=90, Resulting Numbers: [90]\n90,76 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 76:[92, 2], Operations: ['56+36=92', '44-42=2']\nExploring Operation: 92+2=94, Resulting Numbers: [94]\n94,76 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 76:[92, 2], Operations: ['56+36=92', '44-42=2']\nExploring Operation: 92/2=46, Resulting Numbers: [46]\n46,76 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 76:[42, 44, 92], Operations: ['56+36=92']\nExploring Operation: 42+92=134, Resulting Numbers: [44, 134]\nGenerated Node #0,3,4: 76:[44, 134] Operation: 42+92=134\nMoving to Node #0,3,4\nCurrent State: 76:[44, 134], Operations: ['56+36=92', '42+92=134']\nExploring Operation: 134-44=90, Resulting Numbers: [90]\n90,76 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 76:[42, 44, 92], Operations: ['56+36=92']\nExploring Operation: 44+92=136, Resulting Numbers: [42, 136]\nGenerated Node #0,3,5: 76:[42, 136] Operation: 44+92=136\nMoving to Node #0,3,5\nCurrent State: 76:[42, 136], Operations: ['56+36=92', '44+92=136']\nExploring Operation: 136-42=94, Resulting Numbers: [94]\n94,76 unequal: No Solution\nMoving to Node #0\nCurrent State: 76:[56, 42, 44, 36], Operations: []\nExploring Operation: 56+42=98, Resulting Numbers: [44, 36, 98]\nGenerated Node #0,4: 76:[44, 36, 98] Operation: 56+42=98\nMoving to Node #0,4\nCurrent State: 76:[44, 36, 98], Operations: ['56+42=98']\nExploring Operation: 44+36=80, Resulting Numbers: [98, 80]\nGenerated Node #0,4,0: 76:[98, 80] Operation: 44+36=80\nMoving to Node #0,4,0\nCurrent State: 76:[98, 80], Operations: ['56+42=98', '44+36=80']\nExploring Operation: 98-80=18, Resulting Numbers: [18]\n18,76 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 76:[44, 36, 98], Operations: ['56+42=98']\nExploring Operation: 98-36=62, Resulting Numbers: [44, 62]\nGenerated Node #0,4,1: 76:[44, 62] Operation: 98-36=62\nMoving to Node #0,4,1\nCurrent State: 76:[44, 62], Operations: ['56+42=98', '98-36=62']\nExploring Operation: 44+62=106, Resulting Numbers: [106]\n106,76 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 76:[44, 62], Operations: ['56+42=98', '98-36=62']\nExploring Operation: 62-44=18, Resulting Numbers: [18]\n18,76 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 76:[44, 36, 98], Operations: ['56+42=98']\nExploring Operation: 98-44=54, Resulting Numbers: [36, 54]\nGenerated Node #0,4,2: 76:[36, 54] Operation: 98-44=54\nMoving to Node #0,4,2\nCurrent State: 76:[36, 54], Operations: ['56+42=98', '98-44=54']\nExploring Operation: 36+54=90, Resulting Numbers: [90]\n90,76 unequal: No Solution\nMoving to Node #0,4,2\nCurrent State: 76:[36, 54], Operations: ['56+42=98', '98-44=54']\nExploring Operation: 54-36=18, Resulting Numbers: [18]\n18,76 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 76:[44, 36, 98], Operations: ['56+42=98']\nExploring Operation: 44-36=8, Resulting Numbers: [98, 8]\nGenerated Node #0,4,3: 76:[98, 8] Operation: 44-36=8\nMoving to Node #0,4,3\nCurrent State: 76:[98, 8], Operations: ['56+42=98', '44-36=8']\nExploring Operation: 98-8=90, Resulting Numbers: [90]\n90,76 unequal: No Solution\nMoving to Node #0,4,3\nCurrent State: 76:[98, 8], Operations: ['56+42=98', '44-36=8']\nExploring Operation: 98+8=106, Resulting Numbers: [106]\n106,76 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 76:[44, 36, 98], Operations: ['56+42=98']\nExploring Operation: 36+98=134, Resulting Numbers: [44, 134]\nGenerated Node #0,4,4: 76:[44, 134] Operation: 36+98=134\nMoving to Node #0,4,4\nCurrent State: 76:[44, 134], Operations: ['56+42=98', '36+98=134']\nExploring Operation: 134-44=90, Resulting Numbers: [90]\n90,76 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 76:[44, 36, 98], Operations: ['56+42=98']\nExploring Operation: 44+98=142, Resulting Numbers: [36, 142]\nGenerated Node #0,4,5: 76:[36, 142] Operation: 44+98=142\nMoving to Node #0,4,5\nCurrent State: 76:[36, 142], Operations: ['56+42=98', '44+98=142']\nExploring Operation: 142-36=106, Resulting Numbers: [106]\n106,76 unequal: No Solution\nMoving to Node #0\nCurrent State: 76:[56, 42, 44, 36], Operations: []\nExploring Operation: 56+44=100, Resulting Numbers: [42, 36, 100]\nGenerated Node #0,5: 76:[42, 36, 100] Operation: 56+44=100\nMoving to Node #0,5\nCurrent State: 76:[42, 36, 100], Operations: ['56+44=100']\nExploring Operation: 42+36=78, Resulting Numbers: [100, 78]\nGenerated Node #0,5,0: 76:[100, 78] Operation: 42+36=78\nMoving to Node #0,5,0\nCurrent State: 76:[100, 78], Operations: ['56+44=100', '42+36=78']\nExploring Operation: 100-78=22, Resulting Numbers: [22]\n22,76 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 76:[42, 36, 100], Operations: ['56+44=100']\nExploring Operation: 100-36=64, Resulting Numbers: [42, 64]\nGenerated Node #0,5,1: 76:[42, 64] Operation: 100-36=64\nMoving to Node #0,5,1\nCurrent State: 76:[42, 64], Operations: ['56+44=100', '100-36=64']\nExploring Operation: 42+64=106, Resulting Numbers: [106]\n106,76 unequal: No Solution\nMoving to Node #0,5,1\nCurrent State: 76:[42, 64], Operations: ['56+44=100', '100-36=64']\nExploring Operation: 64-42=22, Resulting Numbers: [22]\n22,76 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 76:[42, 36, 100], Operations: ['56+44=100']\nExploring Operation: 100-42=58, Resulting Numbers: [36, 58]\nGenerated Node #0,5,2: 76:[36, 58] Operation: 100-42=58\nMoving to Node #0,5,2\nCurrent State: 76:[36, 58], Operations: ['56+44=100', '100-42=58']\nExploring Operation: 36+58=94, Resulting Numbers: [94]\n94,76 unequal: No Solution\nMoving to Node #0,5,2\nCurrent State: 76:[36, 58], Operations: ['56+44=100', '100-42=58']\nExploring Operation: 58-36=22, Resulting Numbers: [22]\n22,76 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 76:[42, 36, 100], Operations: ['56+44=100']\nExploring Operation: 42-36=6, Resulting Numbers: [100, 6]\nGenerated Node #0,5,3: 76:[100, 6] Operation: 42-36=6\nMoving to Node #0,5,3\nCurrent State: 76:[100, 6], Operations: ['56+44=100', '42-36=6']\nExploring Operation: 100-6=94, Resulting Numbers: [94]\n94,76 unequal: No Solution\nMoving to Node #0,5,3\nCurrent State: 76:[100, 6], Operations: ['56+44=100', '42-36=6']\nExploring Operation: 100+6=106, Resulting Numbers: [106]\n106,76 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 76:[42, 36, 100], Operations: ['56+44=100']\nExploring Operation: 36+100=136, Resulting Numbers: [42, 136]\nGenerated Node #0,5,4: 76:[42, 136] Operation: 36+100=136\nMoving to Node #0,5,4\nCurrent State: 76:[42, 136], Operations: ['56+44=100', '36+100=136']\nExploring Operation: 136-42=94, Resulting Numbers: [94]\n94,76 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 76:[42, 36, 100], Operations: ['56+44=100']\nExploring Operation: 42+100=142, Resulting Numbers: [36, 142]\nGenerated Node #0,5,5: 76:[36, 142] Operation: 42+100=142\nMoving to Node #0,5,5\nCurrent State: 76:[36, 142], Operations: ['56+44=100', '42+100=142']\nExploring Operation: 142-36=106, Resulting Numbers: [106]\n106,76 unequal: No Solution\nMoving to Node #0\nCurrent State: 76:[56, 42, 44, 36], Operations: []\nExploring Operation: 56-36=20, Resulting Numbers: [42, 44, 20]\nGenerated Node #0,6: 76:[42, 44, 20] Operation: 56-36=20\nMoving to Node #0,6\nCurrent State: 76:[42, 44, 20], Operations: ['56-36=20']\nExploring Operation: 42+20=62, Resulting Numbers: [44, 62]\nGenerated Node #0,6,0: 76:[44, 62] Operation: 42+20=62\nMoving to Node #0,6,0\nCurrent State: 76:[44, 62], Operations: ['56-36=20', '42+20=62']\nExploring Operation: 44+62=106, Resulting Numbers: [106]\n106,76 unequal: No Solution\nMoving to Node #0,6,0\nCurrent State: 76:[44, 62], Operations: ['56-36=20', '42+20=62']\nExploring Operation: 62-44=18, Resulting Numbers: [18]\n18,76 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 76:[42, 44, 20], Operations: ['56-36=20']\nExploring Operation: 44+20=64, Resulting Numbers: [42, 64]\nGenerated Node #0,6,1: 76:[42, 64] Operation: 44+20=64\nMoving to Node #0,6,1\nCurrent State: 76:[42, 64], Operations: ['56-36=20', '44+20=64']\nExploring Operation: 42+64=106, Resulting Numbers: [106]\n106,76 unequal: No Solution\nMoving to Node #0,6,1\nCurrent State: 76:[42, 64], Operations: ['56-36=20', '44+20=64']\nExploring Operation: 64-42=22, Resulting Numbers: [22]\n22,76 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 76:[42, 44, 20], Operations: ['56-36=20']\nExploring Operation: 42+44=86, Resulting Numbers: [20, 86]\nGenerated Node #0,6,2: 76:[20, 86] Operation: 42+44=86\nMoving to Node #0,6,2\nCurrent State: 76:[20, 86], Operations: ['56-36=20', '42+44=86']\nExploring Operation: 86-20=66, Resulting Numbers: [66]\n66,76 unequal: No Solution\nMoving to Node #0,6,2\nCurrent State: 76:[20, 86], Operations: ['56-36=20', '42+44=86']\nExploring Operation: 20+86=106, Resulting Numbers: [106]\n106,76 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 76:[42, 44, 20], Operations: ['56-36=20']\nExploring Operation: 42-20=22, Resulting Numbers: [44, 22]\nGenerated Node #0,6,3: 76:[44, 22] Operation: 42-20=22\nMoving to Node #0,6,3\nCurrent State: 76:[44, 22], Operations: ['56-36=20', '42-20=22']\nExploring Operation: 44+22=66, Resulting Numbers: [66]\n66,76 unequal: No Solution\nMoving to Node #0,6,3\nCurrent State: 76:[44, 22], Operations: ['56-36=20', '42-20=22']\nExploring Operation: 44-22=22, Resulting Numbers: [22]\n22,76 unequal: No Solution\nMoving to Node #0,6,3\nCurrent State: 76:[44, 22], Operations: ['56-36=20', '42-20=22']\nExploring Operation: 44/22=2, Resulting Numbers: [2]\n2,76 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 76:[42, 44, 20], Operations: ['56-36=20']\nExploring Operation: 44-20=24, Resulting Numbers: [42, 24]\nGenerated Node #0,6,4: 76:[42, 24] Operation: 44-20=24\nMoving to Node #0,6,4\nCurrent State: 76:[42, 24], Operations: ['56-36=20', '44-20=24']\nExploring Operation: 42+24=66, Resulting Numbers: [66]\n66,76 unequal: No Solution\nMoving to Node #0,6,4\nCurrent State: 76:[42, 24], Operations: ['56-36=20', '44-20=24']\nExploring Operation: 42-24=18, Resulting Numbers: [18]\n18,76 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 76:[42, 44, 20], Operations: ['56-36=20']\nExploring Operation: 44-42=2, Resulting Numbers: [20, 2]\nGenerated Node #0,6,5: 76:[20, 2] Operation: 44-42=2\nMoving to Node #0,6,5\nCurrent State: 76:[20, 2], Operations: ['56-36=20', '44-42=2']\nExploring Operation: 20*2=40, Resulting Numbers: [40]\n40,76 unequal: No Solution\nMoving to Node #0,6,5\nCurrent State: 76:[20, 2], Operations: ['56-36=20', '44-42=2']\nExploring Operation: 20+2=22, Resulting Numbers: [22]\n22,76 unequal: No Solution\nMoving to Node #0,6,5\nCurrent State: 76:[20, 2], Operations: ['56-36=20', '44-42=2']\nExploring Operation: 20-2=18, Resulting Numbers: [18]\n18,76 unequal: No Solution\nMoving to Node #0,6,5\nCurrent State: 76:[20, 2], Operations: ['56-36=20', '44-42=2']\nExploring Operation: 20/2=10, Resulting Numbers: [10]\n10,76 unequal: No Solution\nMoving to Node #0\nCurrent State: 76:[56, 42, 44, 36], Operations: []\nExploring Operation: 42-36=6, Resulting Numbers: [56, 44, 6]\nGenerated Node #0,7: 76:[56, 44, 6] Operation: 42-36=6\nMoving to Node #0,7\nCurrent State: 76:[56, 44, 6], Operations: ['42-36=6']\nExploring Operation: 56+6=62, Resulting Numbers: [44, 62]\nGenerated Node #0,7,0: 76:[44, 62] Operation: 56+6=62\nMoving to Node #0,7,0\nCurrent State: 76:[44, 62], Operations: ['42-36=6', '56+6=62']\nExploring Operation: 44+62=106, Resulting Numbers: [106]\n106,76 unequal: No Solution\nMoving to Node #0,7,0\nCurrent State: 76:[44, 62], Operations: ['42-36=6', '56+6=62']\nExploring Operation: 62-44=18, Resulting Numbers: [18]\n18,76 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 76:[56, 44, 6], Operations: ['42-36=6']\nExploring Operation: 44+6=50, Resulting Numbers: [56, 50]\nGenerated Node #0,7,1: 76:[56, 50] Operation: 44+6=50\nMoving to Node #0,7,1\nCurrent State: 76:[56, 50], Operations: ['42-36=6', '44+6=50']\nExploring Operation: 56+50=106, Resulting Numbers: [106]\n106,76 unequal: No Solution\nMoving to Node #0,7,1\nCurrent State: 76:[56, 50], Operations: ['42-36=6', '44+6=50']\nExploring Operation: 56-50=6, Resulting Numbers: [6]\n6,76 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 76:[56, 44, 6], Operations: ['42-36=6']\nExploring Operation: 56-6=50, Resulting Numbers: [44, 50]\nGenerated Node #0,7,2: 76:[44, 50] Operation: 56-6=50\nMoving to Node #0,7,2\nCurrent State: 76:[44, 50], Operations: ['42-36=6', '56-6=50']\nExploring Operation: 44+50=94, Resulting Numbers: [94]\n94,76 unequal: No Solution\nMoving to Node #0,7,2\nCurrent State: 76:[44, 50], Operations: ['42-36=6', '56-6=50']\nExploring Operation: 50-44=6, Resulting Numbers: [6]\n6,76 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 76:[56, 44, 6], Operations: ['42-36=6']\nExploring Operation: 44-6=38, Resulting Numbers: [56, 38]\nGenerated Node #0,7,3: 76:[56, 38] Operation: 44-6=38\nMoving to Node #0,7,3\nCurrent State: 76:[56, 38], Operations: ['42-36=6', '44-6=38']\nExploring Operation: 56+38=94, Resulting Numbers: [94]\n94,76 unequal: No Solution\nMoving to Node #0,7,3\nCurrent State: 76:[56, 38], Operations: ['42-36=6', '44-6=38']\nExploring Operation: 56-38=18, Resulting Numbers: [18]\n18,76 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 76:[56, 44, 6], Operations: ['42-36=6']\nExploring Operation: 56+44=100, Resulting Numbers: [6, 100]\nGenerated Node #0,7,4: 76:[6, 100] Operation: 56+44=100\nMoving to Node #0,7,4\nCurrent State: 76:[6, 100], Operations: ['42-36=6', '56+44=100']\nExploring Operation: 100-6=94, Resulting Numbers: [94]\n94,76 unequal: No Solution\nMoving to Node #0,7,4\nCurrent State: 76:[6, 100], Operations: ['42-36=6', '56+44=100']\nExploring Operation: 6+100=106, Resulting Numbers: [106]\n106,76 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 76:[56, 44, 6], Operations: ['42-36=6']\nExploring Operation: 56-44=12, Resulting Numbers: [6, 12]\nGenerated Node #0,7,5: 76:[6, 12] Operation: 56-44=12\nMoving to Node #0,7,5\nCurrent State: 76:[6, 12], Operations: ['42-36=6', '56-44=12']\nExploring Operation: 6*12=72, Resulting Numbers: [72]\n72,76 unequal: No Solution\nMoving to Node #0,7,5\nCurrent State: 76:[6, 12], Operations: ['42-36=6', '56-44=12']\nExploring Operation: 6+12=18, Resulting Numbers: [18]\n18,76 unequal: No Solution\nMoving to Node #0,7,5\nCurrent State: 76:[6, 12], Operations: ['42-36=6', '56-44=12']\nExploring Operation: 12-6=6, Resulting Numbers: [6]\n6,76 unequal: No Solution\nMoving to Node #0,7,5\nCurrent State: 76:[6, 12], Operations: ['42-36=6', '56-44=12']\nExploring Operation: 12/6=2, Resulting Numbers: [2]\n2,76 unequal: No Solution\nMoving to Node #0\nCurrent State: 76:[56, 42, 44, 36], Operations: []\nExploring Operation: 44-36=8, Resulting Numbers: [56, 42, 8]\nGenerated Node #0,8: 76:[56, 42, 8] Operation: 44-36=8\nMoving to Node #0,8\nCurrent State: 76:[56, 42, 8], Operations: ['44-36=8']\nExploring Operation: 56+8=64, Resulting Numbers: [42, 64]\nGenerated Node #0,8,0: 76:[42, 64] Operation: 56+8=64\nMoving to Node #0,8,0\nCurrent State: 76:[42, 64], Operations: ['44-36=8', '56+8=64']\nExploring Operation: 42+64=106, Resulting Numbers: [106]\n106,76 unequal: No Solution\nMoving to Node #0,8,0\nCurrent State: 76:[42, 64], Operations: ['44-36=8', '56+8=64']\nExploring Operation: 64-42=22, Resulting Numbers: [22]\n22,76 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 76:[56, 42, 8], Operations: ['44-36=8']\nExploring Operation: 42+8=50, Resulting Numbers: [56, 50]\nGenerated Node #0,8,1: 76:[56, 50] Operation: 42+8=50\nMoving to Node #0,8,1\nCurrent State: 76:[56, 50], Operations: ['44-36=8', '42+8=50']\nExploring Operation: 56+50=106, Resulting Numbers: [106]\n106,76 unequal: No Solution\nMoving to Node #0,8,1\nCurrent State: 76:[56, 50], Operations: ['44-36=8', '42+8=50']\nExploring Operation: 56-50=6, Resulting Numbers: [6]\n6,76 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 76:[56, 42, 8], Operations: ['44-36=8']\nExploring Operation: 56-8=48, Resulting Numbers: [42, 48]\nGenerated Node #0,8,2: 76:[42, 48] Operation: 56-8=48\nMoving to Node #0,8,2\nCurrent State: 76:[42, 48], Operations: ['44-36=8', '56-8=48']\nExploring Operation: 42+48=90, Resulting Numbers: [90]\n90,76 unequal: No Solution\nMoving to Node #0,8,2\nCurrent State: 76:[42, 48], Operations: ['44-36=8', '56-8=48']\nExploring Operation: 48-42=6, Resulting Numbers: [6]\n6,76 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 76:[56, 42, 8], Operations: ['44-36=8']\nExploring Operation: 42-8=34, Resulting Numbers: [56, 34]\nGenerated Node #0,8,3: 76:[56, 34] Operation: 42-8=34\nMoving to Node #0,8,3\nCurrent State: 76:[56, 34], Operations: ['44-36=8', '42-8=34']\nExploring Operation: 56+34=90, Resulting Numbers: [90]\n90,76 unequal: No Solution\nMoving to Node #0,8,3\nCurrent State: 76:[56, 34], Operations: ['44-36=8', '42-8=34']\nExploring Operation: 56-34=22, Resulting Numbers: [22]\n22,76 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 76:[56, 42, 8], Operations: ['44-36=8']\nExploring Operation: 56+42=98, Resulting Numbers: [8, 98]\nGenerated Node #0,8,4: 76:[8, 98] Operation: 56+42=98\nMoving to Node #0,8,4\nCurrent State: 76:[8, 98], Operations: ['44-36=8', '56+42=98']\nExploring Operation: 98-8=90, Resulting Numbers: [90]\n90,76 unequal: No Solution\nMoving to Node #0,8,4\nCurrent State: 76:[8, 98], Operations: ['44-36=8', '56+42=98']\nExploring Operation: 8+98=106, Resulting Numbers: [106]\n106,76 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 76:[56, 42, 8], Operations: ['44-36=8']\nExploring Operation: 56/8=7, Resulting Numbers: [42, 7]\nGenerated Node #0,8,5: 76:[42, 7] Operation: 56/8=7\nMoving to Node #0,8,5\nCurrent State: 76:[42, 7], Operations: ['44-36=8', '56/8=7']\nExploring Operation: 42+7=49, Resulting Numbers: [49]\n49,76 unequal: No Solution\nMoving to Node #0,8,5\nCurrent State: 76:[42, 7], Operations: ['44-36=8', '56/8=7']\nExploring Operation: 42-7=35, Resulting Numbers: [35]\n35,76 unequal: No Solution\nMoving to Node #0,8,5\nCurrent State: 76:[42, 7], Operations: ['44-36=8', '56/8=7']\nExploring Operation: 42/7=6, Resulting Numbers: [6]\n6,76 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 76:[56, 42, 8], Operations: ['44-36=8']\nExploring Operation: 56-42=14, Resulting Numbers: [8, 14]\nGenerated Node #0,8,6: 76:[8, 14] Operation: 56-42=14\nMoving to Node #0,8,6\nCurrent State: 76:[8, 14], Operations: ['44-36=8', '56-42=14']\nExploring Operation: 8*14=112, Resulting Numbers: [112]\n112,76 unequal: No Solution\nMoving to Node #0,8,6\nCurrent State: 76:[8, 14], Operations: ['44-36=8', '56-42=14']\nExploring Operation: 8+14=22, Resulting Numbers: [22]\n22,76 unequal: No Solution\nMoving to Node #0,8,6\nCurrent State: 76:[8, 14], Operations: ['44-36=8', '56-42=14']\nExploring Operation: 14-8=6, Resulting Numbers: [6]\n6,76 unequal: No Solution\nMoving to Node #0\nCurrent State: 76:[56, 42, 44, 36], Operations: []\nExploring Operation: 56-42=14, Resulting Numbers: [44, 36, 14]\nGenerated Node #0,9: 76:[44, 36, 14] Operation: 56-42=14\nMoving to Node #0,9\nCurrent State: 76:[44, 36, 14], Operations: ['56-42=14']\nExploring Operation: 44+14=58, Resulting Numbers: [36, 58]\nGenerated Node #0,9,0: 76:[36, 58] Operation: 44+14=58\nMoving to Node #0,9,0\nCurrent State: 76:[36, 58], Operations: ['56-42=14', '44+14=58']\nExploring Operation: 36+58=94, Resulting Numbers: [94]\n94,76 unequal: No Solution\nMoving to Node #0,9,0\nCurrent State: 76:[36, 58], Operations: ['56-42=14', '44+14=58']\nExploring Operation: 58-36=22, Resulting Numbers: [22]\n22,76 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 76:[44, 36, 14], Operations: ['56-42=14']\nExploring Operation: 36+14=50, Resulting Numbers: [44, 50]\nGenerated Node #0,9,1: 76:[44, 50] Operation: 36+14=50\nMoving to Node #0,9,1\nCurrent State: 76:[44, 50], Operations: ['56-42=14', '36+14=50']\nExploring Operation: 44+50=94, Resulting Numbers: [94]\n94,76 unequal: No Solution\nMoving to Node #0,9,1\nCurrent State: 76:[44, 50], Operations: ['56-42=14', '36+14=50']\nExploring Operation: 50-44=6, Resulting Numbers: [6]\n6,76 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 76:[44, 36, 14], Operations: ['56-42=14']\nExploring Operation: 44+36=80, Resulting Numbers: [14, 80]\nGenerated Node #0,9,2: 76:[14, 80] Operation: 44+36=80\nMoving to Node #0,9,2\nCurrent State: 76:[14, 80], Operations: ['56-42=14', '44+36=80']\nExploring Operation: 80-14=66, Resulting Numbers: [66]\n66,76 unequal: No Solution\nMoving to Node #0,9,2\nCurrent State: 76:[14, 80], Operations: ['56-42=14', '44+36=80']\nExploring Operation: 14+80=94, Resulting Numbers: [94]\n94,76 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 76:[44, 36, 14], Operations: ['56-42=14']\nExploring Operation: 44-14=30, Resulting Numbers: [36, 30]\nGenerated Node #0,9,3: 76:[36, 30] Operation: 44-14=30\nMoving to Node #0,9,3\nCurrent State: 76:[36, 30], Operations: ['56-42=14', '44-14=30']\nExploring Operation: 36+30=66, Resulting Numbers: [66]\n66,76 unequal: No Solution\nMoving to Node #0,9,3\nCurrent State: 76:[36, 30], Operations: ['56-42=14', '44-14=30']\nExploring Operation: 36-30=6, Resulting Numbers: [6]\n6,76 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 76:[44, 36, 14], Operations: ['56-42=14']\nExploring Operation: 36-14=22, Resulting Numbers: [44, 22]\nGenerated Node #0,9,4: 76:[44, 22] Operation: 36-14=22\nMoving to Node #0,9,4\nCurrent State: 76:[44, 22], Operations: ['56-42=14', '36-14=22']\nExploring Operation: 44+22=66, Resulting Numbers: [66]\n66,76 unequal: No Solution\nMoving to Node #0,9,4\nCurrent State: 76:[44, 22], Operations: ['56-42=14', '36-14=22']\nExploring Operation: 44-22=22, Resulting Numbers: [22]\n22,76 unequal: No Solution\nMoving to Node #0,9,4\nCurrent State: 76:[44, 22], Operations: ['56-42=14', '36-14=22']\nExploring Operation: 44/22=2, Resulting Numbers: [2]\n2,76 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 76:[44, 36, 14], Operations: ['56-42=14']\nExploring Operation: 44-36=8, Resulting Numbers: [14, 8]\nGenerated Node #0,9,5: 76:[14, 8] Operation: 44-36=8\nMoving to Node #0,9,5\nCurrent State: 76:[14, 8], Operations: ['56-42=14', '44-36=8']\nExploring Operation: 14*8=112, Resulting Numbers: [112]\n112,76 unequal: No Solution\nMoving to Node #0,9,5\nCurrent State: 76:[14, 8], Operations: ['56-42=14', '44-36=8']\nExploring Operation: 14+8=22, Resulting Numbers: [22]\n22,76 unequal: No Solution\nMoving to Node #0,9,5\nCurrent State: 76:[14, 8], Operations: ['56-42=14', '44-36=8']\nExploring Operation: 14-8=6, Resulting Numbers: [6]\n6,76 unequal: No Solution\nMoving to Node #0\nCurrent State: 76:[56, 42, 44, 36], Operations: []\nExploring Operation: 44-42=2, Resulting Numbers: [56, 36, 2]\nGenerated Node #0,10: 76:[56, 36, 2] Operation: 44-42=2\nMoving to Node #0,10\nCurrent State: 76:[56, 36, 2], Operations: ['44-42=2']\nExploring Operation: 36*2=72, Resulting Numbers: [56, 72]\nGenerated Node #0,10,0: 76:[56, 72] Operation: 36*2=72\nMoving to Node #0,10,0\nCurrent State: 76:[56, 72], Operations: ['44-42=2', '36*2=72']\nExploring Operation: 56+72=128, Resulting Numbers: [128]\n128,76 unequal: No Solution\nMoving to Node #0,10,0\nCurrent State: 76:[56, 72], Operations: ['44-42=2', '36*2=72']\nExploring Operation: 72-56=16, Resulting Numbers: [16]\n16,76 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 76:[56, 36, 2], Operations: ['44-42=2']\nExploring Operation: 56+2=58, Resulting Numbers: [36, 58]\nGenerated Node #0,10,1: 76:[36, 58] Operation: 56+2=58\nMoving to Node #0,10,1\nCurrent State: 76:[36, 58], Operations: ['44-42=2', '56+2=58']\nExploring Operation: 36+58=94, Resulting Numbers: [94]\n94,76 unequal: No Solution\nMoving to Node #0,10,1\nCurrent State: 76:[36, 58], Operations: ['44-42=2', '56+2=58']\nExploring Operation: 58-36=22, Resulting Numbers: [22]\n22,76 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 76:[56, 36, 2], Operations: ['44-42=2']\nExploring Operation: 36+2=38, Resulting Numbers: [56, 38]\nGenerated Node #0,10,2: 76:[56, 38] Operation: 36+2=38\nMoving to Node #0,10,2\nCurrent State: 76:[56, 38], Operations: ['44-42=2', '36+2=38']\nExploring Operation: 56+38=94, Resulting Numbers: [94]\n94,76 unequal: No Solution\nMoving to Node #0,10,2\nCurrent State: 76:[56, 38], Operations: ['44-42=2', '36+2=38']\nExploring Operation: 56-38=18, Resulting Numbers: [18]\n18,76 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 76:[56, 36, 2], Operations: ['44-42=2']\nExploring Operation: 56-2=54, Resulting Numbers: [36, 54]\nGenerated Node #0,10,3: 76:[36, 54] Operation: 56-2=54\nMoving to Node #0,10,3\nCurrent State: 76:[36, 54], Operations: ['44-42=2', '56-2=54']\nExploring Operation: 36+54=90, Resulting Numbers: [90]\n90,76 unequal: No Solution\nMoving to Node #0,10,3\nCurrent State: 76:[36, 54], Operations: ['44-42=2', '56-2=54']\nExploring Operation: 54-36=18, Resulting Numbers: [18]\n18,76 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 76:[56, 36, 2], Operations: ['44-42=2']\nExploring Operation: 36-2=34, Resulting Numbers: [56, 34]\nGenerated Node #0,10,4: 76:[56, 34] Operation: 36-2=34\nMoving to Node #0,10,4\nCurrent State: 76:[56, 34], Operations: ['44-42=2', '36-2=34']\nExploring Operation: 56+34=90, Resulting Numbers: [90]\n90,76 unequal: No Solution\nMoving to Node #0,10,4\nCurrent State: 76:[56, 34], Operations: ['44-42=2', '36-2=34']\nExploring Operation: 56-34=22, Resulting Numbers: [22]\n22,76 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 76:[56, 36, 2], Operations: ['44-42=2']\nExploring Operation: 56*2=112, Resulting Numbers: [36, 112]\nGenerated Node #0,10,5: 76:[36, 112] Operation: 56*2=112\nMoving to Node #0,10,5\nCurrent State: 76:[36, 112], Operations: ['44-42=2', '56*2=112']\nExploring Operation: 112-36=76, Resulting Numbers: [76]\n76,76 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [38, 80, 46, 64] using the four basic arithmetic operations (+, -, *, /) to reach 68.",
"role": "user"
},
{
"content": "Current State: 68:[38, 80, 46, 64], Operations: []\nExploring Operation: 80-46=34, Resulting Numbers: [38, 64, 34]\nGenerated Node #0,0: 68:[38, 64, 34] Operation: 80-46=34\nExploring Operation: 80-38=42, Resulting Numbers: [46, 64, 42]\nGenerated Node #0,1: 68:[46, 64, 42] Operation: 80-38=42\nExploring Operation: 80-64=16, Resulting Numbers: [38, 46, 16]\nGenerated Node #0,2: 68:[38, 46, 16] Operation: 80-64=16\nExploring Operation: 64-46=18, Resulting Numbers: [38, 80, 18]\nGenerated Node #0,3: 68:[38, 80, 18] Operation: 64-46=18\nExploring Operation: 46-38=8, Resulting Numbers: [80, 64, 8]\nGenerated Node #0,4: 68:[80, 64, 8] Operation: 46-38=8\nMoving to Node #0,0\nCurrent State: 68:[38, 64, 34], Operations: ['80-46=34']\nExploring Operation: 38+64=102, Resulting Numbers: [34, 102]\nGenerated Node #0,0,0: 68:[34, 102] Operation: 38+64=102\nExploring Operation: 64-34=30, Resulting Numbers: [38, 30]\nGenerated Node #0,0,1: 68:[38, 30] Operation: 64-34=30\nExploring Operation: 64-38=26, Resulting Numbers: [34, 26]\nGenerated Node #0,0,2: 68:[34, 26] Operation: 64-38=26\nExploring Operation: 38-34=4, Resulting Numbers: [64, 4]\nGenerated Node #0,0,3: 68:[64, 4] Operation: 38-34=4\nExploring Operation: 38+34=72, Resulting Numbers: [64, 72]\nGenerated Node #0,0,4: 68:[64, 72] Operation: 38+34=72\nMoving to Node #0,3\nCurrent State: 68:[38, 80, 18], Operations: ['64-46=18']\nExploring Operation: 80+18=98, Resulting Numbers: [38, 98]\nGenerated Node #0,3,0: 68:[38, 98] Operation: 80+18=98\nExploring Operation: 80-18=62, Resulting Numbers: [38, 62]\nGenerated Node #0,3,1: 68:[38, 62] Operation: 80-18=62\nExploring Operation: 38+18=56, Resulting Numbers: [80, 56]\nGenerated Node #0,3,2: 68:[80, 56] Operation: 38+18=56\nExploring Operation: 80-38=42, Resulting Numbers: [18, 42]\nGenerated Node #0,3,3: 68:[18, 42] Operation: 80-38=42\nExploring Operation: 38-18=20, Resulting Numbers: [80, 20]\nGenerated Node #0,3,4: 68:[80, 20] Operation: 38-18=20\nMoving to Node #0,2\nCurrent State: 68:[38, 46, 16], Operations: ['80-64=16']\nExploring Operation: 46-38=8, Resulting Numbers: [16, 8]\nGenerated Node #0,2,0: 68:[16, 8] Operation: 46-38=8\nExploring Operation: 38+46=84, Resulting Numbers: [16, 84]\nGenerated Node #0,2,1: 68:[16, 84] Operation: 38+46=84\nExploring Operation: 38-16=22, Resulting Numbers: [46, 22]\nGenerated Node #0,2,2: 68:[46, 22] Operation: 38-16=22\nExploring Operation: 46-16=30, Resulting Numbers: [38, 30]\nGenerated Node #0,2,3: 68:[38, 30] Operation: 46-16=30\nExploring Operation: 46+16=62, Resulting Numbers: [38, 62]\nGenerated Node #0,2,4: 68:[38, 62] Operation: 46+16=62\nMoving to Node #0,4\nCurrent State: 68:[80, 64, 8], Operations: ['46-38=8']\nExploring Operation: 80-64=16, Resulting Numbers: [8, 16]\nGenerated Node #0,4,0: 68:[8, 16] Operation: 80-64=16\nExploring Operation: 80-8=72, Resulting Numbers: [64, 72]\nGenerated Node #0,4,1: 68:[64, 72] Operation: 80-8=72\nExploring Operation: 80/8=10, Resulting Numbers: [64, 10]\nGenerated Node #0,4,2: 68:[64, 10] Operation: 80/8=10\nExploring Operation: 64/8=8, Resulting Numbers: [80, 8]\nGenerated Node #0,4,3: 68:[80, 8] Operation: 64/8=8\nExploring Operation: 64+8=72, Resulting Numbers: [80, 72]\nGenerated Node #0,4,4: 68:[80, 72] Operation: 64+8=72\nMoving to Node #0,1\nCurrent State: 68:[46, 64, 42], Operations: ['80-38=42']\nExploring Operation: 46+42=88, Resulting Numbers: [64, 88]\nGenerated Node #0,1,0: 68:[64, 88] Operation: 46+42=88\nExploring Operation: 64-42=22, Resulting Numbers: [46, 22]\nGenerated Node #0,1,1: 68:[46, 22] Operation: 64-42=22\nExploring Operation: 46-42=4, Resulting Numbers: [64, 4]\nGenerated Node #0,1,2: 68:[64, 4] Operation: 46-42=4\nExploring Operation: 64-46=18, Resulting Numbers: [42, 18]\nGenerated Node #0,1,3: 68:[42, 18] Operation: 64-46=18\nExploring Operation: 46+64=110, Resulting Numbers: [42, 110]\nGenerated Node #0,1,4: 68:[42, 110] Operation: 46+64=110\nMoving to Node #0,0,3\nCurrent State: 68:[64, 4], Operations: ['80-46=34', '38-34=4']\nExploring Operation: 64+4=68, Resulting Numbers: [68]\n68,68 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [9, 15, 1, 45] using the four basic arithmetic operations (+, -, *, /) to reach 26.",
"role": "user"
},
{
"content": "Current State: 26:[9, 15, 1, 45], Operations: []\nExploring Operation: 9+15=24, Resulting Numbers: [1, 45, 24]\nGenerated Node #0,0: 26:[1, 45, 24] Operation: 9+15=24\nMoving to Node #0,0\nCurrent State: 26:[1, 45, 24], Operations: ['9+15=24']\nExploring Operation: 45-1=44, Resulting Numbers: [24, 44]\nGenerated Node #0,0,0: 26:[24, 44] Operation: 45-1=44\nMoving to Node #0,0,0\nCurrent State: 26:[24, 44], Operations: ['9+15=24', '45-1=44']\nExploring Operation: 44-24=20, Resulting Numbers: [20]\n20,26 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 26:[1, 45, 24], Operations: ['9+15=24']\nExploring Operation: 1+24=25, Resulting Numbers: [45, 25]\nGenerated Node #0,0,1: 26:[45, 25] Operation: 1+24=25\nMoving to Node #0,0,1\nCurrent State: 26:[45, 25], Operations: ['9+15=24', '1+24=25']\nExploring Operation: 45-25=20, Resulting Numbers: [20]\n20,26 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 26:[1, 45, 24], Operations: ['9+15=24']\nExploring Operation: 1*45=45, Resulting Numbers: [24, 45]\nGenerated Node #0,0,2: 26:[24, 45] Operation: 1*45=45\nMoving to Node #0,0,2\nCurrent State: 26:[24, 45], Operations: ['9+15=24', '1*45=45']\nExploring Operation: 45-24=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 26:[1, 45, 24], Operations: ['9+15=24']\nExploring Operation: 45/1=45, Resulting Numbers: [24, 45]\nGenerated Node #0,0,3: 26:[24, 45] Operation: 45/1=45\nMoving to Node #0,0,3\nCurrent State: 26:[24, 45], Operations: ['9+15=24', '45/1=45']\nExploring Operation: 45-24=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 26:[1, 45, 24], Operations: ['9+15=24']\nExploring Operation: 1*24=24, Resulting Numbers: [45, 24]\nGenerated Node #0,0,4: 26:[45, 24] Operation: 1*24=24\nMoving to Node #0,0,4\nCurrent State: 26:[45, 24], Operations: ['9+15=24', '1*24=24']\nExploring Operation: 45-24=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 26:[1, 45, 24], Operations: ['9+15=24']\nExploring Operation: 24/1=24, Resulting Numbers: [45, 24]\nGenerated Node #0,0,5: 26:[45, 24] Operation: 24/1=24\nMoving to Node #0,0,5\nCurrent State: 26:[45, 24], Operations: ['9+15=24', '24/1=24']\nExploring Operation: 45-24=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 26:[1, 45, 24], Operations: ['9+15=24']\nExploring Operation: 1+45=46, Resulting Numbers: [24, 46]\nGenerated Node #0,0,6: 26:[24, 46] Operation: 1+45=46\nMoving to Node #0,0,6\nCurrent State: 26:[24, 46], Operations: ['9+15=24', '1+45=46']\nExploring Operation: 46-24=22, Resulting Numbers: [22]\n22,26 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 26:[1, 45, 24], Operations: ['9+15=24']\nExploring Operation: 24-1=23, Resulting Numbers: [45, 23]\nGenerated Node #0,0,7: 26:[45, 23] Operation: 24-1=23\nMoving to Node #0,0,7\nCurrent State: 26:[45, 23], Operations: ['9+15=24', '24-1=23']\nExploring Operation: 45-23=22, Resulting Numbers: [22]\n22,26 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 26:[1, 45, 24], Operations: ['9+15=24']\nExploring Operation: 45-24=21, Resulting Numbers: [1, 21]\nGenerated Node #0,0,8: 26:[1, 21] Operation: 45-24=21\nMoving to Node #0,0,8\nCurrent State: 26:[1, 21], Operations: ['9+15=24', '45-24=21']\nExploring Operation: 1+21=22, Resulting Numbers: [22]\n22,26 unequal: No Solution\nMoving to Node #0,0,8\nCurrent State: 26:[1, 21], Operations: ['9+15=24', '45-24=21']\nExploring Operation: 1*21=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,0,8\nCurrent State: 26:[1, 21], Operations: ['9+15=24', '45-24=21']\nExploring Operation: 21/1=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,0,8\nCurrent State: 26:[1, 21], Operations: ['9+15=24', '45-24=21']\nExploring Operation: 21-1=20, Resulting Numbers: [20]\n20,26 unequal: No Solution\nMoving to Node #0\nCurrent State: 26:[9, 15, 1, 45], Operations: []\nExploring Operation: 9+1=10, Resulting Numbers: [15, 45, 10]\nGenerated Node #0,1: 26:[15, 45, 10] Operation: 9+1=10\nMoving to Node #0,1\nCurrent State: 26:[15, 45, 10], Operations: ['9+1=10']\nExploring Operation: 45-15=30, Resulting Numbers: [10, 30]\nGenerated Node #0,1,0: 26:[10, 30] Operation: 45-15=30\nMoving to Node #0,1,0\nCurrent State: 26:[10, 30], Operations: ['9+1=10', '45-15=30']\nExploring Operation: 30-10=20, Resulting Numbers: [20]\n20,26 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 26:[10, 30], Operations: ['9+1=10', '45-15=30']\nExploring Operation: 10+30=40, Resulting Numbers: [40]\n40,26 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 26:[10, 30], Operations: ['9+1=10', '45-15=30']\nExploring Operation: 30/10=3, Resulting Numbers: [3]\n3,26 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 26:[15, 45, 10], Operations: ['9+1=10']\nExploring Operation: 15+10=25, Resulting Numbers: [45, 25]\nGenerated Node #0,1,1: 26:[45, 25] Operation: 15+10=25\nMoving to Node #0,1,1\nCurrent State: 26:[45, 25], Operations: ['9+1=10', '15+10=25']\nExploring Operation: 45-25=20, Resulting Numbers: [20]\n20,26 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 26:[15, 45, 10], Operations: ['9+1=10']\nExploring Operation: 45-10=35, Resulting Numbers: [15, 35]\nGenerated Node #0,1,2: 26:[15, 35] Operation: 45-10=35\nMoving to Node #0,1,2\nCurrent State: 26:[15, 35], Operations: ['9+1=10', '45-10=35']\nExploring Operation: 35-15=20, Resulting Numbers: [20]\n20,26 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 26:[15, 35], Operations: ['9+1=10', '45-10=35']\nExploring Operation: 15+35=50, Resulting Numbers: [50]\n50,26 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 26:[15, 45, 10], Operations: ['9+1=10']\nExploring Operation: 45/15=3, Resulting Numbers: [10, 3]\nGenerated Node #0,1,3: 26:[10, 3] Operation: 45/15=3\nMoving to Node #0,1,3\nCurrent State: 26:[10, 3], Operations: ['9+1=10', '45/15=3']\nExploring Operation: 10*3=30, Resulting Numbers: [30]\n30,26 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 26:[10, 3], Operations: ['9+1=10', '45/15=3']\nExploring Operation: 10+3=13, Resulting Numbers: [13]\n13,26 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 26:[10, 3], Operations: ['9+1=10', '45/15=3']\nExploring Operation: 10-3=7, Resulting Numbers: [7]\n7,26 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 26:[15, 45, 10], Operations: ['9+1=10']\nExploring Operation: 15-10=5, Resulting Numbers: [45, 5]\nGenerated Node #0,1,4: 26:[45, 5] Operation: 15-10=5\nMoving to Node #0,1,4\nCurrent State: 26:[45, 5], Operations: ['9+1=10', '15-10=5']\nExploring Operation: 45-5=40, Resulting Numbers: [40]\n40,26 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 26:[45, 5], Operations: ['9+1=10', '15-10=5']\nExploring Operation: 45/5=9, Resulting Numbers: [9]\n9,26 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 26:[45, 5], Operations: ['9+1=10', '15-10=5']\nExploring Operation: 45+5=50, Resulting Numbers: [50]\n50,26 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 26:[15, 45, 10], Operations: ['9+1=10']\nExploring Operation: 45+10=55, Resulting Numbers: [15, 55]\nGenerated Node #0,1,5: 26:[15, 55] Operation: 45+10=55\nMoving to Node #0,1,5\nCurrent State: 26:[15, 55], Operations: ['9+1=10', '45+10=55']\nExploring Operation: 55-15=40, Resulting Numbers: [40]\n40,26 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 26:[15, 45, 10], Operations: ['9+1=10']\nExploring Operation: 15+45=60, Resulting Numbers: [10, 60]\nGenerated Node #0,1,6: 26:[10, 60] Operation: 15+45=60\nMoving to Node #0,1,6\nCurrent State: 26:[10, 60], Operations: ['9+1=10', '15+45=60']\nExploring Operation: 60/10=6, Resulting Numbers: [6]\n6,26 unequal: No Solution\nMoving to Node #0,1,6\nCurrent State: 26:[10, 60], Operations: ['9+1=10', '15+45=60']\nExploring Operation: 60-10=50, Resulting Numbers: [50]\n50,26 unequal: No Solution\nMoving to Node #0\nCurrent State: 26:[9, 15, 1, 45], Operations: []\nExploring Operation: 45-9=36, Resulting Numbers: [15, 1, 36]\nGenerated Node #0,2: 26:[15, 1, 36] Operation: 45-9=36\nMoving to Node #0,2\nCurrent State: 26:[15, 1, 36], Operations: ['45-9=36']\nExploring Operation: 15+1=16, Resulting Numbers: [36, 16]\nGenerated Node #0,2,0: 26:[36, 16] Operation: 15+1=16\nMoving to Node #0,2,0\nCurrent State: 26:[36, 16], Operations: ['45-9=36', '15+1=16']\nExploring Operation: 36-16=20, Resulting Numbers: [20]\n20,26 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 26:[36, 16], Operations: ['45-9=36', '15+1=16']\nExploring Operation: 36+16=52, Resulting Numbers: [52]\n52,26 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 26:[15, 1, 36], Operations: ['45-9=36']\nExploring Operation: 36-1=35, Resulting Numbers: [15, 35]\nGenerated Node #0,2,1: 26:[15, 35] Operation: 36-1=35\nMoving to Node #0,2,1\nCurrent State: 26:[15, 35], Operations: ['45-9=36', '36-1=35']\nExploring Operation: 35-15=20, Resulting Numbers: [20]\n20,26 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 26:[15, 35], Operations: ['45-9=36', '36-1=35']\nExploring Operation: 15+35=50, Resulting Numbers: [50]\n50,26 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 26:[15, 1, 36], Operations: ['45-9=36']\nExploring Operation: 15*1=15, Resulting Numbers: [36, 15]\nGenerated Node #0,2,2: 26:[36, 15] Operation: 15*1=15\nMoving to Node #0,2,2\nCurrent State: 26:[36, 15], Operations: ['45-9=36', '15*1=15']\nExploring Operation: 36-15=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 26:[36, 15], Operations: ['45-9=36', '15*1=15']\nExploring Operation: 36+15=51, Resulting Numbers: [51]\n51,26 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 26:[15, 1, 36], Operations: ['45-9=36']\nExploring Operation: 15/1=15, Resulting Numbers: [36, 15]\nGenerated Node #0,2,3: 26:[36, 15] Operation: 15/1=15\nMoving to Node #0,2,3\nCurrent State: 26:[36, 15], Operations: ['45-9=36', '15/1=15']\nExploring Operation: 36-15=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 26:[36, 15], Operations: ['45-9=36', '15/1=15']\nExploring Operation: 36+15=51, Resulting Numbers: [51]\n51,26 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 26:[15, 1, 36], Operations: ['45-9=36']\nExploring Operation: 1*36=36, Resulting Numbers: [15, 36]\nGenerated Node #0,2,4: 26:[15, 36] Operation: 1*36=36\nMoving to Node #0,2,4\nCurrent State: 26:[15, 36], Operations: ['45-9=36', '1*36=36']\nExploring Operation: 36-15=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 26:[15, 36], Operations: ['45-9=36', '1*36=36']\nExploring Operation: 15+36=51, Resulting Numbers: [51]\n51,26 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 26:[15, 1, 36], Operations: ['45-9=36']\nExploring Operation: 36/1=36, Resulting Numbers: [15, 36]\nGenerated Node #0,2,5: 26:[15, 36] Operation: 36/1=36\nMoving to Node #0,2,5\nCurrent State: 26:[15, 36], Operations: ['45-9=36', '36/1=36']\nExploring Operation: 36-15=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,2,5\nCurrent State: 26:[15, 36], Operations: ['45-9=36', '36/1=36']\nExploring Operation: 15+36=51, Resulting Numbers: [51]\n51,26 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 26:[15, 1, 36], Operations: ['45-9=36']\nExploring Operation: 15-1=14, Resulting Numbers: [36, 14]\nGenerated Node #0,2,6: 26:[36, 14] Operation: 15-1=14\nMoving to Node #0,2,6\nCurrent State: 26:[36, 14], Operations: ['45-9=36', '15-1=14']\nExploring Operation: 36-14=22, Resulting Numbers: [22]\n22,26 unequal: No Solution\nMoving to Node #0,2,6\nCurrent State: 26:[36, 14], Operations: ['45-9=36', '15-1=14']\nExploring Operation: 36+14=50, Resulting Numbers: [50]\n50,26 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 26:[15, 1, 36], Operations: ['45-9=36']\nExploring Operation: 1+36=37, Resulting Numbers: [15, 37]\nGenerated Node #0,2,7: 26:[15, 37] Operation: 1+36=37\nMoving to Node #0,2,7\nCurrent State: 26:[15, 37], Operations: ['45-9=36', '1+36=37']\nExploring Operation: 37-15=22, Resulting Numbers: [22]\n22,26 unequal: No Solution\nMoving to Node #0,2,7\nCurrent State: 26:[15, 37], Operations: ['45-9=36', '1+36=37']\nExploring Operation: 15+37=52, Resulting Numbers: [52]\n52,26 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 26:[15, 1, 36], Operations: ['45-9=36']\nExploring Operation: 36-15=21, Resulting Numbers: [1, 21]\nGenerated Node #0,2,8: 26:[1, 21] Operation: 36-15=21\nMoving to Node #0,2,8\nCurrent State: 26:[1, 21], Operations: ['45-9=36', '36-15=21']\nExploring Operation: 1+21=22, Resulting Numbers: [22]\n22,26 unequal: No Solution\nMoving to Node #0,2,8\nCurrent State: 26:[1, 21], Operations: ['45-9=36', '36-15=21']\nExploring Operation: 1*21=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,2,8\nCurrent State: 26:[1, 21], Operations: ['45-9=36', '36-15=21']\nExploring Operation: 21/1=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,2,8\nCurrent State: 26:[1, 21], Operations: ['45-9=36', '36-15=21']\nExploring Operation: 21-1=20, Resulting Numbers: [20]\n20,26 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 26:[15, 1, 36], Operations: ['45-9=36']\nExploring Operation: 15+36=51, Resulting Numbers: [1, 51]\nGenerated Node #0,2,9: 26:[1, 51] Operation: 15+36=51\nMoving to Node #0,2,9\nCurrent State: 26:[1, 51], Operations: ['45-9=36', '15+36=51']\nExploring Operation: 51-1=50, Resulting Numbers: [50]\n50,26 unequal: No Solution\nMoving to Node #0,2,9\nCurrent State: 26:[1, 51], Operations: ['45-9=36', '15+36=51']\nExploring Operation: 1*51=51, Resulting Numbers: [51]\n51,26 unequal: No Solution\nMoving to Node #0,2,9\nCurrent State: 26:[1, 51], Operations: ['45-9=36', '15+36=51']\nExploring Operation: 51/1=51, Resulting Numbers: [51]\n51,26 unequal: No Solution\nMoving to Node #0,2,9\nCurrent State: 26:[1, 51], Operations: ['45-9=36', '15+36=51']\nExploring Operation: 1+51=52, Resulting Numbers: [52]\n52,26 unequal: No Solution\nMoving to Node #0\nCurrent State: 26:[9, 15, 1, 45], Operations: []\nExploring Operation: 15+1=16, Resulting Numbers: [9, 45, 16]\nGenerated Node #0,3: 26:[9, 45, 16] Operation: 15+1=16\nMoving to Node #0,3\nCurrent State: 26:[9, 45, 16], Operations: ['15+1=16']\nExploring Operation: 45-9=36, Resulting Numbers: [16, 36]\nGenerated Node #0,3,0: 26:[16, 36] Operation: 45-9=36\nMoving to Node #0,3,0\nCurrent State: 26:[16, 36], Operations: ['15+1=16', '45-9=36']\nExploring Operation: 36-16=20, Resulting Numbers: [20]\n20,26 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 26:[16, 36], Operations: ['15+1=16', '45-9=36']\nExploring Operation: 16+36=52, Resulting Numbers: [52]\n52,26 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 26:[9, 45, 16], Operations: ['15+1=16']\nExploring Operation: 9+16=25, Resulting Numbers: [45, 25]\nGenerated Node #0,3,1: 26:[45, 25] Operation: 9+16=25\nMoving to Node #0,3,1\nCurrent State: 26:[45, 25], Operations: ['15+1=16', '9+16=25']\nExploring Operation: 45-25=20, Resulting Numbers: [20]\n20,26 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 26:[9, 45, 16], Operations: ['15+1=16']\nExploring Operation: 45-16=29, Resulting Numbers: [9, 29]\nGenerated Node #0,3,2: 26:[9, 29] Operation: 45-16=29\nMoving to Node #0,3,2\nCurrent State: 26:[9, 29], Operations: ['15+1=16', '45-16=29']\nExploring Operation: 29-9=20, Resulting Numbers: [20]\n20,26 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 26:[9, 29], Operations: ['15+1=16', '45-16=29']\nExploring Operation: 9+29=38, Resulting Numbers: [38]\n38,26 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 26:[9, 45, 16], Operations: ['15+1=16']\nExploring Operation: 45/9=5, Resulting Numbers: [16, 5]\nGenerated Node #0,3,3: 26:[16, 5] Operation: 45/9=5\nMoving to Node #0,3,3\nCurrent State: 26:[16, 5], Operations: ['15+1=16', '45/9=5']\nExploring Operation: 16+5=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 26:[16, 5], Operations: ['15+1=16', '45/9=5']\nExploring Operation: 16-5=11, Resulting Numbers: [11]\n11,26 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 26:[9, 45, 16], Operations: ['15+1=16']\nExploring Operation: 9+45=54, Resulting Numbers: [16, 54]\nGenerated Node #0,3,4: 26:[16, 54] Operation: 9+45=54\nMoving to Node #0,3,4\nCurrent State: 26:[16, 54], Operations: ['15+1=16', '9+45=54']\nExploring Operation: 54-16=38, Resulting Numbers: [38]\n38,26 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 26:[9, 45, 16], Operations: ['15+1=16']\nExploring Operation: 16-9=7, Resulting Numbers: [45, 7]\nGenerated Node #0,3,5: 26:[45, 7] Operation: 16-9=7\nMoving to Node #0,3,5\nCurrent State: 26:[45, 7], Operations: ['15+1=16', '16-9=7']\nExploring Operation: 45-7=38, Resulting Numbers: [38]\n38,26 unequal: No Solution\nMoving to Node #0,3,5\nCurrent State: 26:[45, 7], Operations: ['15+1=16', '16-9=7']\nExploring Operation: 45+7=52, Resulting Numbers: [52]\n52,26 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 26:[9, 45, 16], Operations: ['15+1=16']\nExploring Operation: 45+16=61, Resulting Numbers: [9, 61]\nGenerated Node #0,3,6: 26:[9, 61] Operation: 45+16=61\nMoving to Node #0,3,6\nCurrent State: 26:[9, 61], Operations: ['15+1=16', '45+16=61']\nExploring Operation: 61-9=52, Resulting Numbers: [52]\n52,26 unequal: No Solution\nMoving to Node #0\nCurrent State: 26:[9, 15, 1, 45], Operations: []\nExploring Operation: 45-15=30, Resulting Numbers: [9, 1, 30]\nGenerated Node #0,4: 26:[9, 1, 30] Operation: 45-15=30\nMoving to Node #0,4\nCurrent State: 26:[9, 1, 30], Operations: ['45-15=30']\nExploring Operation: 9+1=10, Resulting Numbers: [30, 10]\nGenerated Node #0,4,0: 26:[30, 10] Operation: 9+1=10\nMoving to Node #0,4,0\nCurrent State: 26:[30, 10], Operations: ['45-15=30', '9+1=10']\nExploring Operation: 30-10=20, Resulting Numbers: [20]\n20,26 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 26:[30, 10], Operations: ['45-15=30', '9+1=10']\nExploring Operation: 30+10=40, Resulting Numbers: [40]\n40,26 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 26:[30, 10], Operations: ['45-15=30', '9+1=10']\nExploring Operation: 30/10=3, Resulting Numbers: [3]\n3,26 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 26:[9, 1, 30], Operations: ['45-15=30']\nExploring Operation: 30-1=29, Resulting Numbers: [9, 29]\nGenerated Node #0,4,1: 26:[9, 29] Operation: 30-1=29\nMoving to Node #0,4,1\nCurrent State: 26:[9, 29], Operations: ['45-15=30', '30-1=29']\nExploring Operation: 29-9=20, Resulting Numbers: [20]\n20,26 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 26:[9, 29], Operations: ['45-15=30', '30-1=29']\nExploring Operation: 9+29=38, Resulting Numbers: [38]\n38,26 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 26:[9, 1, 30], Operations: ['45-15=30']\nExploring Operation: 9*1=9, Resulting Numbers: [30, 9]\nGenerated Node #0,4,2: 26:[30, 9] Operation: 9*1=9\nMoving to Node #0,4,2\nCurrent State: 26:[30, 9], Operations: ['45-15=30', '9*1=9']\nExploring Operation: 30-9=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,4,2\nCurrent State: 26:[30, 9], Operations: ['45-15=30', '9*1=9']\nExploring Operation: 30+9=39, Resulting Numbers: [39]\n39,26 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 26:[9, 1, 30], Operations: ['45-15=30']\nExploring Operation: 9/1=9, Resulting Numbers: [30, 9]\nGenerated Node #0,4,3: 26:[30, 9] Operation: 9/1=9\nMoving to Node #0,4,3\nCurrent State: 26:[30, 9], Operations: ['45-15=30', '9/1=9']\nExploring Operation: 30-9=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,4,3\nCurrent State: 26:[30, 9], Operations: ['45-15=30', '9/1=9']\nExploring Operation: 30+9=39, Resulting Numbers: [39]\n39,26 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 26:[9, 1, 30], Operations: ['45-15=30']\nExploring Operation: 1*30=30, Resulting Numbers: [9, 30]\nGenerated Node #0,4,4: 26:[9, 30] Operation: 1*30=30\nMoving to Node #0,4,4\nCurrent State: 26:[9, 30], Operations: ['45-15=30', '1*30=30']\nExploring Operation: 30-9=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,4,4\nCurrent State: 26:[9, 30], Operations: ['45-15=30', '1*30=30']\nExploring Operation: 9+30=39, Resulting Numbers: [39]\n39,26 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 26:[9, 1, 30], Operations: ['45-15=30']\nExploring Operation: 30/1=30, Resulting Numbers: [9, 30]\nGenerated Node #0,4,5: 26:[9, 30] Operation: 30/1=30\nMoving to Node #0,4,5\nCurrent State: 26:[9, 30], Operations: ['45-15=30', '30/1=30']\nExploring Operation: 30-9=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,4,5\nCurrent State: 26:[9, 30], Operations: ['45-15=30', '30/1=30']\nExploring Operation: 9+30=39, Resulting Numbers: [39]\n39,26 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 26:[9, 1, 30], Operations: ['45-15=30']\nExploring Operation: 9-1=8, Resulting Numbers: [30, 8]\nGenerated Node #0,4,6: 26:[30, 8] Operation: 9-1=8\nMoving to Node #0,4,6\nCurrent State: 26:[30, 8], Operations: ['45-15=30', '9-1=8']\nExploring Operation: 30-8=22, Resulting Numbers: [22]\n22,26 unequal: No Solution\nMoving to Node #0,4,6\nCurrent State: 26:[30, 8], Operations: ['45-15=30', '9-1=8']\nExploring Operation: 30+8=38, Resulting Numbers: [38]\n38,26 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 26:[9, 1, 30], Operations: ['45-15=30']\nExploring Operation: 1+30=31, Resulting Numbers: [9, 31]\nGenerated Node #0,4,7: 26:[9, 31] Operation: 1+30=31\nMoving to Node #0,4,7\nCurrent State: 26:[9, 31], Operations: ['45-15=30', '1+30=31']\nExploring Operation: 31-9=22, Resulting Numbers: [22]\n22,26 unequal: No Solution\nMoving to Node #0,4,7\nCurrent State: 26:[9, 31], Operations: ['45-15=30', '1+30=31']\nExploring Operation: 9+31=40, Resulting Numbers: [40]\n40,26 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 26:[9, 1, 30], Operations: ['45-15=30']\nExploring Operation: 30-9=21, Resulting Numbers: [1, 21]\nGenerated Node #0,4,8: 26:[1, 21] Operation: 30-9=21\nMoving to Node #0,4,8\nCurrent State: 26:[1, 21], Operations: ['45-15=30', '30-9=21']\nExploring Operation: 1+21=22, Resulting Numbers: [22]\n22,26 unequal: No Solution\nMoving to Node #0,4,8\nCurrent State: 26:[1, 21], Operations: ['45-15=30', '30-9=21']\nExploring Operation: 1*21=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,4,8\nCurrent State: 26:[1, 21], Operations: ['45-15=30', '30-9=21']\nExploring Operation: 21/1=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,4,8\nCurrent State: 26:[1, 21], Operations: ['45-15=30', '30-9=21']\nExploring Operation: 21-1=20, Resulting Numbers: [20]\n20,26 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 26:[9, 1, 30], Operations: ['45-15=30']\nExploring Operation: 9+30=39, Resulting Numbers: [1, 39]\nGenerated Node #0,4,9: 26:[1, 39] Operation: 9+30=39\nMoving to Node #0,4,9\nCurrent State: 26:[1, 39], Operations: ['45-15=30', '9+30=39']\nExploring Operation: 39-1=38, Resulting Numbers: [38]\n38,26 unequal: No Solution\nMoving to Node #0,4,9\nCurrent State: 26:[1, 39], Operations: ['45-15=30', '9+30=39']\nExploring Operation: 1*39=39, Resulting Numbers: [39]\n39,26 unequal: No Solution\nMoving to Node #0,4,9\nCurrent State: 26:[1, 39], Operations: ['45-15=30', '9+30=39']\nExploring Operation: 39/1=39, Resulting Numbers: [39]\n39,26 unequal: No Solution\nMoving to Node #0,4,9\nCurrent State: 26:[1, 39], Operations: ['45-15=30', '9+30=39']\nExploring Operation: 1+39=40, Resulting Numbers: [40]\n40,26 unequal: No Solution\nMoving to Node #0\nCurrent State: 26:[9, 15, 1, 45], Operations: []\nExploring Operation: 45-1=44, Resulting Numbers: [9, 15, 44]\nGenerated Node #0,5: 26:[9, 15, 44] Operation: 45-1=44\nMoving to Node #0,5\nCurrent State: 26:[9, 15, 44], Operations: ['45-1=44']\nExploring Operation: 9+15=24, Resulting Numbers: [44, 24]\nGenerated Node #0,5,0: 26:[44, 24] Operation: 9+15=24\nMoving to Node #0,5,0\nCurrent State: 26:[44, 24], Operations: ['45-1=44', '9+15=24']\nExploring Operation: 44-24=20, Resulting Numbers: [20]\n20,26 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 26:[9, 15, 44], Operations: ['45-1=44']\nExploring Operation: 44-9=35, Resulting Numbers: [15, 35]\nGenerated Node #0,5,1: 26:[15, 35] Operation: 44-9=35\nMoving to Node #0,5,1\nCurrent State: 26:[15, 35], Operations: ['45-1=44', '44-9=35']\nExploring Operation: 35-15=20, Resulting Numbers: [20]\n20,26 unequal: No Solution\nMoving to Node #0,5,1\nCurrent State: 26:[15, 35], Operations: ['45-1=44', '44-9=35']\nExploring Operation: 15+35=50, Resulting Numbers: [50]\n50,26 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 26:[9, 15, 44], Operations: ['45-1=44']\nExploring Operation: 44-15=29, Resulting Numbers: [9, 29]\nGenerated Node #0,5,2: 26:[9, 29] Operation: 44-15=29\nMoving to Node #0,5,2\nCurrent State: 26:[9, 29], Operations: ['45-1=44', '44-15=29']\nExploring Operation: 29-9=20, Resulting Numbers: [20]\n20,26 unequal: No Solution\nMoving to Node #0,5,2\nCurrent State: 26:[9, 29], Operations: ['45-1=44', '44-15=29']\nExploring Operation: 9+29=38, Resulting Numbers: [38]\n38,26 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 26:[9, 15, 44], Operations: ['45-1=44']\nExploring Operation: 15-9=6, Resulting Numbers: [44, 6]\nGenerated Node #0,5,3: 26:[44, 6] Operation: 15-9=6\nMoving to Node #0,5,3\nCurrent State: 26:[44, 6], Operations: ['45-1=44', '15-9=6']\nExploring Operation: 44-6=38, Resulting Numbers: [38]\n38,26 unequal: No Solution\nMoving to Node #0,5,3\nCurrent State: 26:[44, 6], Operations: ['45-1=44', '15-9=6']\nExploring Operation: 44+6=50, Resulting Numbers: [50]\n50,26 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 26:[9, 15, 44], Operations: ['45-1=44']\nExploring Operation: 9+44=53, Resulting Numbers: [15, 53]\nGenerated Node #0,5,4: 26:[15, 53] Operation: 9+44=53\nMoving to Node #0,5,4\nCurrent State: 26:[15, 53], Operations: ['45-1=44', '9+44=53']\nExploring Operation: 53-15=38, Resulting Numbers: [38]\n38,26 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 26:[9, 15, 44], Operations: ['45-1=44']\nExploring Operation: 15+44=59, Resulting Numbers: [9, 59]\nGenerated Node #0,5,5: 26:[9, 59] Operation: 15+44=59\nMoving to Node #0,5,5\nCurrent State: 26:[9, 59], Operations: ['45-1=44', '15+44=59']\nExploring Operation: 59-9=50, Resulting Numbers: [50]\n50,26 unequal: No Solution\nMoving to Node #0\nCurrent State: 26:[9, 15, 1, 45], Operations: []\nExploring Operation: 9*1=9, Resulting Numbers: [15, 45, 9]\nGenerated Node #0,6: 26:[15, 45, 9] Operation: 9*1=9\nMoving to Node #0,6\nCurrent State: 26:[15, 45, 9], Operations: ['9*1=9']\nExploring Operation: 45-15=30, Resulting Numbers: [9, 30]\nGenerated Node #0,6,0: 26:[9, 30] Operation: 45-15=30\nMoving to Node #0,6,0\nCurrent State: 26:[9, 30], Operations: ['9*1=9', '45-15=30']\nExploring Operation: 30-9=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,6,0\nCurrent State: 26:[9, 30], Operations: ['9*1=9', '45-15=30']\nExploring Operation: 9+30=39, Resulting Numbers: [39]\n39,26 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 26:[15, 45, 9], Operations: ['9*1=9']\nExploring Operation: 15+9=24, Resulting Numbers: [45, 24]\nGenerated Node #0,6,1: 26:[45, 24] Operation: 15+9=24\nMoving to Node #0,6,1\nCurrent State: 26:[45, 24], Operations: ['9*1=9', '15+9=24']\nExploring Operation: 45-24=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 26:[15, 45, 9], Operations: ['9*1=9']\nExploring Operation: 45-9=36, Resulting Numbers: [15, 36]\nGenerated Node #0,6,2: 26:[15, 36] Operation: 45-9=36\nMoving to Node #0,6,2\nCurrent State: 26:[15, 36], Operations: ['9*1=9', '45-9=36']\nExploring Operation: 36-15=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,6,2\nCurrent State: 26:[15, 36], Operations: ['9*1=9', '45-9=36']\nExploring Operation: 15+36=51, Resulting Numbers: [51]\n51,26 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 26:[15, 45, 9], Operations: ['9*1=9']\nExploring Operation: 45/9=5, Resulting Numbers: [15, 5]\nGenerated Node #0,6,3: 26:[15, 5] Operation: 45/9=5\nMoving to Node #0,6,3\nCurrent State: 26:[15, 5], Operations: ['9*1=9', '45/9=5']\nExploring Operation: 15+5=20, Resulting Numbers: [20]\n20,26 unequal: No Solution\nMoving to Node #0,6,3\nCurrent State: 26:[15, 5], Operations: ['9*1=9', '45/9=5']\nExploring Operation: 15-5=10, Resulting Numbers: [10]\n10,26 unequal: No Solution\nMoving to Node #0,6,3\nCurrent State: 26:[15, 5], Operations: ['9*1=9', '45/9=5']\nExploring Operation: 15/5=3, Resulting Numbers: [3]\n3,26 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 26:[15, 45, 9], Operations: ['9*1=9']\nExploring Operation: 15-9=6, Resulting Numbers: [45, 6]\nGenerated Node #0,6,4: 26:[45, 6] Operation: 15-9=6\nMoving to Node #0,6,4\nCurrent State: 26:[45, 6], Operations: ['9*1=9', '15-9=6']\nExploring Operation: 45-6=39, Resulting Numbers: [39]\n39,26 unequal: No Solution\nMoving to Node #0,6,4\nCurrent State: 26:[45, 6], Operations: ['9*1=9', '15-9=6']\nExploring Operation: 45+6=51, Resulting Numbers: [51]\n51,26 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 26:[15, 45, 9], Operations: ['9*1=9']\nExploring Operation: 45+9=54, Resulting Numbers: [15, 54]\nGenerated Node #0,6,5: 26:[15, 54] Operation: 45+9=54\nMoving to Node #0,6,5\nCurrent State: 26:[15, 54], Operations: ['9*1=9', '45+9=54']\nExploring Operation: 54-15=39, Resulting Numbers: [39]\n39,26 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 26:[15, 45, 9], Operations: ['9*1=9']\nExploring Operation: 45/15=3, Resulting Numbers: [9, 3]\nGenerated Node #0,6,6: 26:[9, 3] Operation: 45/15=3\nMoving to Node #0,6,6\nCurrent State: 26:[9, 3], Operations: ['9*1=9', '45/15=3']\nExploring Operation: 9*3=27, Resulting Numbers: [27]\n27,26 unequal: No Solution\nMoving to Node #0,6,6\nCurrent State: 26:[9, 3], Operations: ['9*1=9', '45/15=3']\nExploring Operation: 9+3=12, Resulting Numbers: [12]\n12,26 unequal: No Solution\nMoving to Node #0,6,6\nCurrent State: 26:[9, 3], Operations: ['9*1=9', '45/15=3']\nExploring Operation: 9-3=6, Resulting Numbers: [6]\n6,26 unequal: No Solution\nMoving to Node #0,6,6\nCurrent State: 26:[9, 3], Operations: ['9*1=9', '45/15=3']\nExploring Operation: 9/3=3, Resulting Numbers: [3]\n3,26 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 26:[15, 45, 9], Operations: ['9*1=9']\nExploring Operation: 15+45=60, Resulting Numbers: [9, 60]\nGenerated Node #0,6,7: 26:[9, 60] Operation: 15+45=60\nMoving to Node #0,6,7\nCurrent State: 26:[9, 60], Operations: ['9*1=9', '15+45=60']\nExploring Operation: 60-9=51, Resulting Numbers: [51]\n51,26 unequal: No Solution\nMoving to Node #0\nCurrent State: 26:[9, 15, 1, 45], Operations: []\nExploring Operation: 9/1=9, Resulting Numbers: [15, 45, 9]\nGenerated Node #0,7: 26:[15, 45, 9] Operation: 9/1=9\nMoving to Node #0,7\nCurrent State: 26:[15, 45, 9], Operations: ['9/1=9']\nExploring Operation: 45-15=30, Resulting Numbers: [9, 30]\nGenerated Node #0,7,0: 26:[9, 30] Operation: 45-15=30\nMoving to Node #0,7,0\nCurrent State: 26:[9, 30], Operations: ['9/1=9', '45-15=30']\nExploring Operation: 30-9=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,7,0\nCurrent State: 26:[9, 30], Operations: ['9/1=9', '45-15=30']\nExploring Operation: 9+30=39, Resulting Numbers: [39]\n39,26 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 26:[15, 45, 9], Operations: ['9/1=9']\nExploring Operation: 15+9=24, Resulting Numbers: [45, 24]\nGenerated Node #0,7,1: 26:[45, 24] Operation: 15+9=24\nMoving to Node #0,7,1\nCurrent State: 26:[45, 24], Operations: ['9/1=9', '15+9=24']\nExploring Operation: 45-24=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 26:[15, 45, 9], Operations: ['9/1=9']\nExploring Operation: 45-9=36, Resulting Numbers: [15, 36]\nGenerated Node #0,7,2: 26:[15, 36] Operation: 45-9=36\nMoving to Node #0,7,2\nCurrent State: 26:[15, 36], Operations: ['9/1=9', '45-9=36']\nExploring Operation: 36-15=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,7,2\nCurrent State: 26:[15, 36], Operations: ['9/1=9', '45-9=36']\nExploring Operation: 15+36=51, Resulting Numbers: [51]\n51,26 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 26:[15, 45, 9], Operations: ['9/1=9']\nExploring Operation: 45/9=5, Resulting Numbers: [15, 5]\nGenerated Node #0,7,3: 26:[15, 5] Operation: 45/9=5\nMoving to Node #0,7,3\nCurrent State: 26:[15, 5], Operations: ['9/1=9', '45/9=5']\nExploring Operation: 15+5=20, Resulting Numbers: [20]\n20,26 unequal: No Solution\nMoving to Node #0,7,3\nCurrent State: 26:[15, 5], Operations: ['9/1=9', '45/9=5']\nExploring Operation: 15-5=10, Resulting Numbers: [10]\n10,26 unequal: No Solution\nMoving to Node #0,7,3\nCurrent State: 26:[15, 5], Operations: ['9/1=9', '45/9=5']\nExploring Operation: 15/5=3, Resulting Numbers: [3]\n3,26 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 26:[15, 45, 9], Operations: ['9/1=9']\nExploring Operation: 15-9=6, Resulting Numbers: [45, 6]\nGenerated Node #0,7,4: 26:[45, 6] Operation: 15-9=6\nMoving to Node #0,7,4\nCurrent State: 26:[45, 6], Operations: ['9/1=9', '15-9=6']\nExploring Operation: 45-6=39, Resulting Numbers: [39]\n39,26 unequal: No Solution\nMoving to Node #0,7,4\nCurrent State: 26:[45, 6], Operations: ['9/1=9', '15-9=6']\nExploring Operation: 45+6=51, Resulting Numbers: [51]\n51,26 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 26:[15, 45, 9], Operations: ['9/1=9']\nExploring Operation: 45+9=54, Resulting Numbers: [15, 54]\nGenerated Node #0,7,5: 26:[15, 54] Operation: 45+9=54\nMoving to Node #0,7,5\nCurrent State: 26:[15, 54], Operations: ['9/1=9', '45+9=54']\nExploring Operation: 54-15=39, Resulting Numbers: [39]\n39,26 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 26:[15, 45, 9], Operations: ['9/1=9']\nExploring Operation: 45/15=3, Resulting Numbers: [9, 3]\nGenerated Node #0,7,6: 26:[9, 3] Operation: 45/15=3\nMoving to Node #0,7,6\nCurrent State: 26:[9, 3], Operations: ['9/1=9', '45/15=3']\nExploring Operation: 9*3=27, Resulting Numbers: [27]\n27,26 unequal: No Solution\nMoving to Node #0,7,6\nCurrent State: 26:[9, 3], Operations: ['9/1=9', '45/15=3']\nExploring Operation: 9+3=12, Resulting Numbers: [12]\n12,26 unequal: No Solution\nMoving to Node #0,7,6\nCurrent State: 26:[9, 3], Operations: ['9/1=9', '45/15=3']\nExploring Operation: 9-3=6, Resulting Numbers: [6]\n6,26 unequal: No Solution\nMoving to Node #0,7,6\nCurrent State: 26:[9, 3], Operations: ['9/1=9', '45/15=3']\nExploring Operation: 9/3=3, Resulting Numbers: [3]\n3,26 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 26:[15, 45, 9], Operations: ['9/1=9']\nExploring Operation: 15+45=60, Resulting Numbers: [9, 60]\nGenerated Node #0,7,7: 26:[9, 60] Operation: 15+45=60\nMoving to Node #0,7,7\nCurrent State: 26:[9, 60], Operations: ['9/1=9', '15+45=60']\nExploring Operation: 60-9=51, Resulting Numbers: [51]\n51,26 unequal: No Solution\nMoving to Node #0\nCurrent State: 26:[9, 15, 1, 45], Operations: []\nExploring Operation: 15*1=15, Resulting Numbers: [9, 45, 15]\nGenerated Node #0,8: 26:[9, 45, 15] Operation: 15*1=15\nMoving to Node #0,8\nCurrent State: 26:[9, 45, 15], Operations: ['15*1=15']\nExploring Operation: 45-9=36, Resulting Numbers: [15, 36]\nGenerated Node #0,8,0: 26:[15, 36] Operation: 45-9=36\nMoving to Node #0,8,0\nCurrent State: 26:[15, 36], Operations: ['15*1=15', '45-9=36']\nExploring Operation: 36-15=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,8,0\nCurrent State: 26:[15, 36], Operations: ['15*1=15', '45-9=36']\nExploring Operation: 15+36=51, Resulting Numbers: [51]\n51,26 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 26:[9, 45, 15], Operations: ['15*1=15']\nExploring Operation: 9+15=24, Resulting Numbers: [45, 24]\nGenerated Node #0,8,1: 26:[45, 24] Operation: 9+15=24\nMoving to Node #0,8,1\nCurrent State: 26:[45, 24], Operations: ['15*1=15', '9+15=24']\nExploring Operation: 45-24=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 26:[9, 45, 15], Operations: ['15*1=15']\nExploring Operation: 45-15=30, Resulting Numbers: [9, 30]\nGenerated Node #0,8,2: 26:[9, 30] Operation: 45-15=30\nMoving to Node #0,8,2\nCurrent State: 26:[9, 30], Operations: ['15*1=15', '45-15=30']\nExploring Operation: 30-9=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,8,2\nCurrent State: 26:[9, 30], Operations: ['15*1=15', '45-15=30']\nExploring Operation: 9+30=39, Resulting Numbers: [39]\n39,26 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 26:[9, 45, 15], Operations: ['15*1=15']\nExploring Operation: 45/9=5, Resulting Numbers: [15, 5]\nGenerated Node #0,8,3: 26:[15, 5] Operation: 45/9=5\nMoving to Node #0,8,3\nCurrent State: 26:[15, 5], Operations: ['15*1=15', '45/9=5']\nExploring Operation: 15+5=20, Resulting Numbers: [20]\n20,26 unequal: No Solution\nMoving to Node #0,8,3\nCurrent State: 26:[15, 5], Operations: ['15*1=15', '45/9=5']\nExploring Operation: 15-5=10, Resulting Numbers: [10]\n10,26 unequal: No Solution\nMoving to Node #0,8,3\nCurrent State: 26:[15, 5], Operations: ['15*1=15', '45/9=5']\nExploring Operation: 15/5=3, Resulting Numbers: [3]\n3,26 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 26:[9, 45, 15], Operations: ['15*1=15']\nExploring Operation: 9+45=54, Resulting Numbers: [15, 54]\nGenerated Node #0,8,4: 26:[15, 54] Operation: 9+45=54\nMoving to Node #0,8,4\nCurrent State: 26:[15, 54], Operations: ['15*1=15', '9+45=54']\nExploring Operation: 54-15=39, Resulting Numbers: [39]\n39,26 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 26:[9, 45, 15], Operations: ['15*1=15']\nExploring Operation: 15-9=6, Resulting Numbers: [45, 6]\nGenerated Node #0,8,5: 26:[45, 6] Operation: 15-9=6\nMoving to Node #0,8,5\nCurrent State: 26:[45, 6], Operations: ['15*1=15', '15-9=6']\nExploring Operation: 45-6=39, Resulting Numbers: [39]\n39,26 unequal: No Solution\nMoving to Node #0,8,5\nCurrent State: 26:[45, 6], Operations: ['15*1=15', '15-9=6']\nExploring Operation: 45+6=51, Resulting Numbers: [51]\n51,26 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 26:[9, 45, 15], Operations: ['15*1=15']\nExploring Operation: 45/15=3, Resulting Numbers: [9, 3]\nGenerated Node #0,8,6: 26:[9, 3] Operation: 45/15=3\nMoving to Node #0,8,6\nCurrent State: 26:[9, 3], Operations: ['15*1=15', '45/15=3']\nExploring Operation: 9*3=27, Resulting Numbers: [27]\n27,26 unequal: No Solution\nMoving to Node #0,8,6\nCurrent State: 26:[9, 3], Operations: ['15*1=15', '45/15=3']\nExploring Operation: 9+3=12, Resulting Numbers: [12]\n12,26 unequal: No Solution\nMoving to Node #0,8,6\nCurrent State: 26:[9, 3], Operations: ['15*1=15', '45/15=3']\nExploring Operation: 9-3=6, Resulting Numbers: [6]\n6,26 unequal: No Solution\nMoving to Node #0,8,6\nCurrent State: 26:[9, 3], Operations: ['15*1=15', '45/15=3']\nExploring Operation: 9/3=3, Resulting Numbers: [3]\n3,26 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 26:[9, 45, 15], Operations: ['15*1=15']\nExploring Operation: 45+15=60, Resulting Numbers: [9, 60]\nGenerated Node #0,8,7: 26:[9, 60] Operation: 45+15=60\nMoving to Node #0,8,7\nCurrent State: 26:[9, 60], Operations: ['15*1=15', '45+15=60']\nExploring Operation: 60-9=51, Resulting Numbers: [51]\n51,26 unequal: No Solution\nMoving to Node #0\nCurrent State: 26:[9, 15, 1, 45], Operations: []\nExploring Operation: 15/1=15, Resulting Numbers: [9, 45, 15]\nGenerated Node #0,9: 26:[9, 45, 15] Operation: 15/1=15\nMoving to Node #0,9\nCurrent State: 26:[9, 45, 15], Operations: ['15/1=15']\nExploring Operation: 45-9=36, Resulting Numbers: [15, 36]\nGenerated Node #0,9,0: 26:[15, 36] Operation: 45-9=36\nMoving to Node #0,9,0\nCurrent State: 26:[15, 36], Operations: ['15/1=15', '45-9=36']\nExploring Operation: 36-15=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,9,0\nCurrent State: 26:[15, 36], Operations: ['15/1=15', '45-9=36']\nExploring Operation: 15+36=51, Resulting Numbers: [51]\n51,26 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 26:[9, 45, 15], Operations: ['15/1=15']\nExploring Operation: 9+15=24, Resulting Numbers: [45, 24]\nGenerated Node #0,9,1: 26:[45, 24] Operation: 9+15=24\nMoving to Node #0,9,1\nCurrent State: 26:[45, 24], Operations: ['15/1=15', '9+15=24']\nExploring Operation: 45-24=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 26:[9, 45, 15], Operations: ['15/1=15']\nExploring Operation: 45-15=30, Resulting Numbers: [9, 30]\nGenerated Node #0,9,2: 26:[9, 30] Operation: 45-15=30\nMoving to Node #0,9,2\nCurrent State: 26:[9, 30], Operations: ['15/1=15', '45-15=30']\nExploring Operation: 30-9=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,9,2\nCurrent State: 26:[9, 30], Operations: ['15/1=15', '45-15=30']\nExploring Operation: 9+30=39, Resulting Numbers: [39]\n39,26 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 26:[9, 45, 15], Operations: ['15/1=15']\nExploring Operation: 45/9=5, Resulting Numbers: [15, 5]\nGenerated Node #0,9,3: 26:[15, 5] Operation: 45/9=5\nMoving to Node #0,9,3\nCurrent State: 26:[15, 5], Operations: ['15/1=15', '45/9=5']\nExploring Operation: 15+5=20, Resulting Numbers: [20]\n20,26 unequal: No Solution\nMoving to Node #0,9,3\nCurrent State: 26:[15, 5], Operations: ['15/1=15', '45/9=5']\nExploring Operation: 15-5=10, Resulting Numbers: [10]\n10,26 unequal: No Solution\nMoving to Node #0,9,3\nCurrent State: 26:[15, 5], Operations: ['15/1=15', '45/9=5']\nExploring Operation: 15/5=3, Resulting Numbers: [3]\n3,26 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 26:[9, 45, 15], Operations: ['15/1=15']\nExploring Operation: 9+45=54, Resulting Numbers: [15, 54]\nGenerated Node #0,9,4: 26:[15, 54] Operation: 9+45=54\nMoving to Node #0,9,4\nCurrent State: 26:[15, 54], Operations: ['15/1=15', '9+45=54']\nExploring Operation: 54-15=39, Resulting Numbers: [39]\n39,26 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 26:[9, 45, 15], Operations: ['15/1=15']\nExploring Operation: 15-9=6, Resulting Numbers: [45, 6]\nGenerated Node #0,9,5: 26:[45, 6] Operation: 15-9=6\nMoving to Node #0,9,5\nCurrent State: 26:[45, 6], Operations: ['15/1=15', '15-9=6']\nExploring Operation: 45-6=39, Resulting Numbers: [39]\n39,26 unequal: No Solution\nMoving to Node #0,9,5\nCurrent State: 26:[45, 6], Operations: ['15/1=15', '15-9=6']\nExploring Operation: 45+6=51, Resulting Numbers: [51]\n51,26 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 26:[9, 45, 15], Operations: ['15/1=15']\nExploring Operation: 45/15=3, Resulting Numbers: [9, 3]\nGenerated Node #0,9,6: 26:[9, 3] Operation: 45/15=3\nMoving to Node #0,9,6\nCurrent State: 26:[9, 3], Operations: ['15/1=15', '45/15=3']\nExploring Operation: 9*3=27, Resulting Numbers: [27]\n27,26 unequal: No Solution\nMoving to Node #0,9,6\nCurrent State: 26:[9, 3], Operations: ['15/1=15', '45/15=3']\nExploring Operation: 9+3=12, Resulting Numbers: [12]\n12,26 unequal: No Solution\nMoving to Node #0,9,6\nCurrent State: 26:[9, 3], Operations: ['15/1=15', '45/15=3']\nExploring Operation: 9-3=6, Resulting Numbers: [6]\n6,26 unequal: No Solution\nMoving to Node #0,9,6\nCurrent State: 26:[9, 3], Operations: ['15/1=15', '45/15=3']\nExploring Operation: 9/3=3, Resulting Numbers: [3]\n3,26 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 26:[9, 45, 15], Operations: ['15/1=15']\nExploring Operation: 45+15=60, Resulting Numbers: [9, 60]\nGenerated Node #0,9,7: 26:[9, 60] Operation: 45+15=60\nMoving to Node #0,9,7\nCurrent State: 26:[9, 60], Operations: ['15/1=15', '45+15=60']\nExploring Operation: 60-9=51, Resulting Numbers: [51]\n51,26 unequal: No Solution\nMoving to Node #0\nCurrent State: 26:[9, 15, 1, 45], Operations: []\nExploring Operation: 1*45=45, Resulting Numbers: [9, 15, 45]\nGenerated Node #0,10: 26:[9, 15, 45] Operation: 1*45=45\nMoving to Node #0,10\nCurrent State: 26:[9, 15, 45], Operations: ['1*45=45']\nExploring Operation: 9+15=24, Resulting Numbers: [45, 24]\nGenerated Node #0,10,0: 26:[45, 24] Operation: 9+15=24\nMoving to Node #0,10,0\nCurrent State: 26:[45, 24], Operations: ['1*45=45', '9+15=24']\nExploring Operation: 45-24=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 26:[9, 15, 45], Operations: ['1*45=45']\nExploring Operation: 45-9=36, Resulting Numbers: [15, 36]\nGenerated Node #0,10,1: 26:[15, 36] Operation: 45-9=36\nMoving to Node #0,10,1\nCurrent State: 26:[15, 36], Operations: ['1*45=45', '45-9=36']\nExploring Operation: 36-15=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,10,1\nCurrent State: 26:[15, 36], Operations: ['1*45=45', '45-9=36']\nExploring Operation: 15+36=51, Resulting Numbers: [51]\n51,26 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 26:[9, 15, 45], Operations: ['1*45=45']\nExploring Operation: 45-15=30, Resulting Numbers: [9, 30]\nGenerated Node #0,10,2: 26:[9, 30] Operation: 45-15=30\nMoving to Node #0,10,2\nCurrent State: 26:[9, 30], Operations: ['1*45=45', '45-15=30']\nExploring Operation: 30-9=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,10,2\nCurrent State: 26:[9, 30], Operations: ['1*45=45', '45-15=30']\nExploring Operation: 9+30=39, Resulting Numbers: [39]\n39,26 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 26:[9, 15, 45], Operations: ['1*45=45']\nExploring Operation: 45/9=5, Resulting Numbers: [15, 5]\nGenerated Node #0,10,3: 26:[15, 5] Operation: 45/9=5\nMoving to Node #0,10,3\nCurrent State: 26:[15, 5], Operations: ['1*45=45', '45/9=5']\nExploring Operation: 15+5=20, Resulting Numbers: [20]\n20,26 unequal: No Solution\nMoving to Node #0,10,3\nCurrent State: 26:[15, 5], Operations: ['1*45=45', '45/9=5']\nExploring Operation: 15-5=10, Resulting Numbers: [10]\n10,26 unequal: No Solution\nMoving to Node #0,10,3\nCurrent State: 26:[15, 5], Operations: ['1*45=45', '45/9=5']\nExploring Operation: 15/5=3, Resulting Numbers: [3]\n3,26 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 26:[9, 15, 45], Operations: ['1*45=45']\nExploring Operation: 15-9=6, Resulting Numbers: [45, 6]\nGenerated Node #0,10,4: 26:[45, 6] Operation: 15-9=6\nMoving to Node #0,10,4\nCurrent State: 26:[45, 6], Operations: ['1*45=45', '15-9=6']\nExploring Operation: 45-6=39, Resulting Numbers: [39]\n39,26 unequal: No Solution\nMoving to Node #0,10,4\nCurrent State: 26:[45, 6], Operations: ['1*45=45', '15-9=6']\nExploring Operation: 45+6=51, Resulting Numbers: [51]\n51,26 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 26:[9, 15, 45], Operations: ['1*45=45']\nExploring Operation: 9+45=54, Resulting Numbers: [15, 54]\nGenerated Node #0,10,5: 26:[15, 54] Operation: 9+45=54\nMoving to Node #0,10,5\nCurrent State: 26:[15, 54], Operations: ['1*45=45', '9+45=54']\nExploring Operation: 54-15=39, Resulting Numbers: [39]\n39,26 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 26:[9, 15, 45], Operations: ['1*45=45']\nExploring Operation: 45/15=3, Resulting Numbers: [9, 3]\nGenerated Node #0,10,6: 26:[9, 3] Operation: 45/15=3\nMoving to Node #0,10,6\nCurrent State: 26:[9, 3], Operations: ['1*45=45', '45/15=3']\nExploring Operation: 9*3=27, Resulting Numbers: [27]\n27,26 unequal: No Solution\nMoving to Node #0,10,6\nCurrent State: 26:[9, 3], Operations: ['1*45=45', '45/15=3']\nExploring Operation: 9+3=12, Resulting Numbers: [12]\n12,26 unequal: No Solution\nMoving to Node #0,10,6\nCurrent State: 26:[9, 3], Operations: ['1*45=45', '45/15=3']\nExploring Operation: 9-3=6, Resulting Numbers: [6]\n6,26 unequal: No Solution\nMoving to Node #0,10,6\nCurrent State: 26:[9, 3], Operations: ['1*45=45', '45/15=3']\nExploring Operation: 9/3=3, Resulting Numbers: [3]\n3,26 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 26:[9, 15, 45], Operations: ['1*45=45']\nExploring Operation: 15+45=60, Resulting Numbers: [9, 60]\nGenerated Node #0,10,7: 26:[9, 60] Operation: 15+45=60\nMoving to Node #0,10,7\nCurrent State: 26:[9, 60], Operations: ['1*45=45', '15+45=60']\nExploring Operation: 60-9=51, Resulting Numbers: [51]\n51,26 unequal: No Solution\nMoving to Node #0\nCurrent State: 26:[9, 15, 1, 45], Operations: []\nExploring Operation: 45/1=45, Resulting Numbers: [9, 15, 45]\nGenerated Node #0,11: 26:[9, 15, 45] Operation: 45/1=45\nMoving to Node #0,11\nCurrent State: 26:[9, 15, 45], Operations: ['45/1=45']\nExploring Operation: 9+15=24, Resulting Numbers: [45, 24]\nGenerated Node #0,11,0: 26:[45, 24] Operation: 9+15=24\nMoving to Node #0,11,0\nCurrent State: 26:[45, 24], Operations: ['45/1=45', '9+15=24']\nExploring Operation: 45-24=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 26:[9, 15, 45], Operations: ['45/1=45']\nExploring Operation: 45-9=36, Resulting Numbers: [15, 36]\nGenerated Node #0,11,1: 26:[15, 36] Operation: 45-9=36\nMoving to Node #0,11,1\nCurrent State: 26:[15, 36], Operations: ['45/1=45', '45-9=36']\nExploring Operation: 36-15=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,11,1\nCurrent State: 26:[15, 36], Operations: ['45/1=45', '45-9=36']\nExploring Operation: 15+36=51, Resulting Numbers: [51]\n51,26 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 26:[9, 15, 45], Operations: ['45/1=45']\nExploring Operation: 45-15=30, Resulting Numbers: [9, 30]\nGenerated Node #0,11,2: 26:[9, 30] Operation: 45-15=30\nMoving to Node #0,11,2\nCurrent State: 26:[9, 30], Operations: ['45/1=45', '45-15=30']\nExploring Operation: 30-9=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,11,2\nCurrent State: 26:[9, 30], Operations: ['45/1=45', '45-15=30']\nExploring Operation: 9+30=39, Resulting Numbers: [39]\n39,26 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 26:[9, 15, 45], Operations: ['45/1=45']\nExploring Operation: 45/9=5, Resulting Numbers: [15, 5]\nGenerated Node #0,11,3: 26:[15, 5] Operation: 45/9=5\nMoving to Node #0,11,3\nCurrent State: 26:[15, 5], Operations: ['45/1=45', '45/9=5']\nExploring Operation: 15+5=20, Resulting Numbers: [20]\n20,26 unequal: No Solution\nMoving to Node #0,11,3\nCurrent State: 26:[15, 5], Operations: ['45/1=45', '45/9=5']\nExploring Operation: 15-5=10, Resulting Numbers: [10]\n10,26 unequal: No Solution\nMoving to Node #0,11,3\nCurrent State: 26:[15, 5], Operations: ['45/1=45', '45/9=5']\nExploring Operation: 15/5=3, Resulting Numbers: [3]\n3,26 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 26:[9, 15, 45], Operations: ['45/1=45']\nExploring Operation: 15-9=6, Resulting Numbers: [45, 6]\nGenerated Node #0,11,4: 26:[45, 6] Operation: 15-9=6\nMoving to Node #0,11,4\nCurrent State: 26:[45, 6], Operations: ['45/1=45', '15-9=6']\nExploring Operation: 45-6=39, Resulting Numbers: [39]\n39,26 unequal: No Solution\nMoving to Node #0,11,4\nCurrent State: 26:[45, 6], Operations: ['45/1=45', '15-9=6']\nExploring Operation: 45+6=51, Resulting Numbers: [51]\n51,26 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 26:[9, 15, 45], Operations: ['45/1=45']\nExploring Operation: 9+45=54, Resulting Numbers: [15, 54]\nGenerated Node #0,11,5: 26:[15, 54] Operation: 9+45=54\nMoving to Node #0,11,5\nCurrent State: 26:[15, 54], Operations: ['45/1=45', '9+45=54']\nExploring Operation: 54-15=39, Resulting Numbers: [39]\n39,26 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 26:[9, 15, 45], Operations: ['45/1=45']\nExploring Operation: 45/15=3, Resulting Numbers: [9, 3]\nGenerated Node #0,11,6: 26:[9, 3] Operation: 45/15=3\nMoving to Node #0,11,6\nCurrent State: 26:[9, 3], Operations: ['45/1=45', '45/15=3']\nExploring Operation: 9*3=27, Resulting Numbers: [27]\n27,26 unequal: No Solution\nMoving to Node #0,11,6\nCurrent State: 26:[9, 3], Operations: ['45/1=45', '45/15=3']\nExploring Operation: 9+3=12, Resulting Numbers: [12]\n12,26 unequal: No Solution\nMoving to Node #0,11,6\nCurrent State: 26:[9, 3], Operations: ['45/1=45', '45/15=3']\nExploring Operation: 9-3=6, Resulting Numbers: [6]\n6,26 unequal: No Solution\nMoving to Node #0,11,6\nCurrent State: 26:[9, 3], Operations: ['45/1=45', '45/15=3']\nExploring Operation: 9/3=3, Resulting Numbers: [3]\n3,26 unequal: No Solution\nMoving to Node #0,11\nCurrent State: 26:[9, 15, 45], Operations: ['45/1=45']\nExploring Operation: 15+45=60, Resulting Numbers: [9, 60]\nGenerated Node #0,11,7: 26:[9, 60] Operation: 15+45=60\nMoving to Node #0,11,7\nCurrent State: 26:[9, 60], Operations: ['45/1=45', '15+45=60']\nExploring Operation: 60-9=51, Resulting Numbers: [51]\n51,26 unequal: No Solution\nMoving to Node #0\nCurrent State: 26:[9, 15, 1, 45], Operations: []\nExploring Operation: 9-1=8, Resulting Numbers: [15, 45, 8]\nGenerated Node #0,12: 26:[15, 45, 8] Operation: 9-1=8\nMoving to Node #0,12\nCurrent State: 26:[15, 45, 8], Operations: ['9-1=8']\nExploring Operation: 45-15=30, Resulting Numbers: [8, 30]\nGenerated Node #0,12,0: 26:[8, 30] Operation: 45-15=30\nMoving to Node #0,12,0\nCurrent State: 26:[8, 30], Operations: ['9-1=8', '45-15=30']\nExploring Operation: 30-8=22, Resulting Numbers: [22]\n22,26 unequal: No Solution\nMoving to Node #0,12,0\nCurrent State: 26:[8, 30], Operations: ['9-1=8', '45-15=30']\nExploring Operation: 8+30=38, Resulting Numbers: [38]\n38,26 unequal: No Solution\nMoving to Node #0,12\nCurrent State: 26:[15, 45, 8], Operations: ['9-1=8']\nExploring Operation: 15+8=23, Resulting Numbers: [45, 23]\nGenerated Node #0,12,1: 26:[45, 23] Operation: 15+8=23\nMoving to Node #0,12,1\nCurrent State: 26:[45, 23], Operations: ['9-1=8', '15+8=23']\nExploring Operation: 45-23=22, Resulting Numbers: [22]\n22,26 unequal: No Solution\nMoving to Node #0,12\nCurrent State: 26:[15, 45, 8], Operations: ['9-1=8']\nExploring Operation: 45-8=37, Resulting Numbers: [15, 37]\nGenerated Node #0,12,2: 26:[15, 37] Operation: 45-8=37\nMoving to Node #0,12,2\nCurrent State: 26:[15, 37], Operations: ['9-1=8', '45-8=37']\nExploring Operation: 37-15=22, Resulting Numbers: [22]\n22,26 unequal: No Solution\nMoving to Node #0,12,2\nCurrent State: 26:[15, 37], Operations: ['9-1=8', '45-8=37']\nExploring Operation: 15+37=52, Resulting Numbers: [52]\n52,26 unequal: No Solution\nMoving to Node #0,12\nCurrent State: 26:[15, 45, 8], Operations: ['9-1=8']\nExploring Operation: 15-8=7, Resulting Numbers: [45, 7]\nGenerated Node #0,12,3: 26:[45, 7] Operation: 15-8=7\nMoving to Node #0,12,3\nCurrent State: 26:[45, 7], Operations: ['9-1=8', '15-8=7']\nExploring Operation: 45-7=38, Resulting Numbers: [38]\n38,26 unequal: No Solution\nMoving to Node #0,12,3\nCurrent State: 26:[45, 7], Operations: ['9-1=8', '15-8=7']\nExploring Operation: 45+7=52, Resulting Numbers: [52]\n52,26 unequal: No Solution\nMoving to Node #0,12\nCurrent State: 26:[15, 45, 8], Operations: ['9-1=8']\nExploring Operation: 45+8=53, Resulting Numbers: [15, 53]\nGenerated Node #0,12,4: 26:[15, 53] Operation: 45+8=53\nMoving to Node #0,12,4\nCurrent State: 26:[15, 53], Operations: ['9-1=8', '45+8=53']\nExploring Operation: 53-15=38, Resulting Numbers: [38]\n38,26 unequal: No Solution\nMoving to Node #0,12\nCurrent State: 26:[15, 45, 8], Operations: ['9-1=8']\nExploring Operation: 45/15=3, Resulting Numbers: [8, 3]\nGenerated Node #0,12,5: 26:[8, 3] Operation: 45/15=3\nMoving to Node #0,12,5\nCurrent State: 26:[8, 3], Operations: ['9-1=8', '45/15=3']\nExploring Operation: 8*3=24, Resulting Numbers: [24]\n24,26 unequal: No Solution\nMoving to Node #0,12,5\nCurrent State: 26:[8, 3], Operations: ['9-1=8', '45/15=3']\nExploring Operation: 8+3=11, Resulting Numbers: [11]\n11,26 unequal: No Solution\nMoving to Node #0,12,5\nCurrent State: 26:[8, 3], Operations: ['9-1=8', '45/15=3']\nExploring Operation: 8-3=5, Resulting Numbers: [5]\n5,26 unequal: No Solution\nMoving to Node #0,12\nCurrent State: 26:[15, 45, 8], Operations: ['9-1=8']\nExploring Operation: 15+45=60, Resulting Numbers: [8, 60]\nGenerated Node #0,12,6: 26:[8, 60] Operation: 15+45=60\nMoving to Node #0,12,6\nCurrent State: 26:[8, 60], Operations: ['9-1=8', '15+45=60']\nExploring Operation: 60-8=52, Resulting Numbers: [52]\n52,26 unequal: No Solution\nMoving to Node #0\nCurrent State: 26:[9, 15, 1, 45], Operations: []\nExploring Operation: 15-1=14, Resulting Numbers: [9, 45, 14]\nGenerated Node #0,13: 26:[9, 45, 14] Operation: 15-1=14\nMoving to Node #0,13\nCurrent State: 26:[9, 45, 14], Operations: ['15-1=14']\nExploring Operation: 45-9=36, Resulting Numbers: [14, 36]\nGenerated Node #0,13,0: 26:[14, 36] Operation: 45-9=36\nMoving to Node #0,13,0\nCurrent State: 26:[14, 36], Operations: ['15-1=14', '45-9=36']\nExploring Operation: 36-14=22, Resulting Numbers: [22]\n22,26 unequal: No Solution\nMoving to Node #0,13,0\nCurrent State: 26:[14, 36], Operations: ['15-1=14', '45-9=36']\nExploring Operation: 14+36=50, Resulting Numbers: [50]\n50,26 unequal: No Solution\nMoving to Node #0,13\nCurrent State: 26:[9, 45, 14], Operations: ['15-1=14']\nExploring Operation: 9+14=23, Resulting Numbers: [45, 23]\nGenerated Node #0,13,1: 26:[45, 23] Operation: 9+14=23\nMoving to Node #0,13,1\nCurrent State: 26:[45, 23], Operations: ['15-1=14', '9+14=23']\nExploring Operation: 45-23=22, Resulting Numbers: [22]\n22,26 unequal: No Solution\nMoving to Node #0,13\nCurrent State: 26:[9, 45, 14], Operations: ['15-1=14']\nExploring Operation: 45-14=31, Resulting Numbers: [9, 31]\nGenerated Node #0,13,2: 26:[9, 31] Operation: 45-14=31\nMoving to Node #0,13,2\nCurrent State: 26:[9, 31], Operations: ['15-1=14', '45-14=31']\nExploring Operation: 31-9=22, Resulting Numbers: [22]\n22,26 unequal: No Solution\nMoving to Node #0,13,2\nCurrent State: 26:[9, 31], Operations: ['15-1=14', '45-14=31']\nExploring Operation: 9+31=40, Resulting Numbers: [40]\n40,26 unequal: No Solution\nMoving to Node #0,13\nCurrent State: 26:[9, 45, 14], Operations: ['15-1=14']\nExploring Operation: 45/9=5, Resulting Numbers: [14, 5]\nGenerated Node #0,13,3: 26:[14, 5] Operation: 45/9=5\nMoving to Node #0,13,3\nCurrent State: 26:[14, 5], Operations: ['15-1=14', '45/9=5']\nExploring Operation: 14+5=19, Resulting Numbers: [19]\n19,26 unequal: No Solution\nMoving to Node #0,13,3\nCurrent State: 26:[14, 5], Operations: ['15-1=14', '45/9=5']\nExploring Operation: 14-5=9, Resulting Numbers: [9]\n9,26 unequal: No Solution\nMoving to Node #0,13\nCurrent State: 26:[9, 45, 14], Operations: ['15-1=14']\nExploring Operation: 9+45=54, Resulting Numbers: [14, 54]\nGenerated Node #0,13,4: 26:[14, 54] Operation: 9+45=54\nMoving to Node #0,13,4\nCurrent State: 26:[14, 54], Operations: ['15-1=14', '9+45=54']\nExploring Operation: 54-14=40, Resulting Numbers: [40]\n40,26 unequal: No Solution\nMoving to Node #0,13\nCurrent State: 26:[9, 45, 14], Operations: ['15-1=14']\nExploring Operation: 14-9=5, Resulting Numbers: [45, 5]\nGenerated Node #0,13,5: 26:[45, 5] Operation: 14-9=5\nMoving to Node #0,13,5\nCurrent State: 26:[45, 5], Operations: ['15-1=14', '14-9=5']\nExploring Operation: 45-5=40, Resulting Numbers: [40]\n40,26 unequal: No Solution\nMoving to Node #0,13,5\nCurrent State: 26:[45, 5], Operations: ['15-1=14', '14-9=5']\nExploring Operation: 45/5=9, Resulting Numbers: [9]\n9,26 unequal: No Solution\nMoving to Node #0,13,5\nCurrent State: 26:[45, 5], Operations: ['15-1=14', '14-9=5']\nExploring Operation: 45+5=50, Resulting Numbers: [50]\n50,26 unequal: No Solution\nMoving to Node #0,13\nCurrent State: 26:[9, 45, 14], Operations: ['15-1=14']\nExploring Operation: 45+14=59, Resulting Numbers: [9, 59]\nGenerated Node #0,13,6: 26:[9, 59] Operation: 45+14=59\nMoving to Node #0,13,6\nCurrent State: 26:[9, 59], Operations: ['15-1=14', '45+14=59']\nExploring Operation: 59-9=50, Resulting Numbers: [50]\n50,26 unequal: No Solution\nMoving to Node #0\nCurrent State: 26:[9, 15, 1, 45], Operations: []\nExploring Operation: 1+45=46, Resulting Numbers: [9, 15, 46]\nGenerated Node #0,14: 26:[9, 15, 46] Operation: 1+45=46\nMoving to Node #0,14\nCurrent State: 26:[9, 15, 46], Operations: ['1+45=46']\nExploring Operation: 9+15=24, Resulting Numbers: [46, 24]\nGenerated Node #0,14,0: 26:[46, 24] Operation: 9+15=24\nMoving to Node #0,14,0\nCurrent State: 26:[46, 24], Operations: ['1+45=46', '9+15=24']\nExploring Operation: 46-24=22, Resulting Numbers: [22]\n22,26 unequal: No Solution\nMoving to Node #0,14\nCurrent State: 26:[9, 15, 46], Operations: ['1+45=46']\nExploring Operation: 46-9=37, Resulting Numbers: [15, 37]\nGenerated Node #0,14,1: 26:[15, 37] Operation: 46-9=37\nMoving to Node #0,14,1\nCurrent State: 26:[15, 37], Operations: ['1+45=46', '46-9=37']\nExploring Operation: 37-15=22, Resulting Numbers: [22]\n22,26 unequal: No Solution\nMoving to Node #0,14,1\nCurrent State: 26:[15, 37], Operations: ['1+45=46', '46-9=37']\nExploring Operation: 15+37=52, Resulting Numbers: [52]\n52,26 unequal: No Solution\nMoving to Node #0,14\nCurrent State: 26:[9, 15, 46], Operations: ['1+45=46']\nExploring Operation: 46-15=31, Resulting Numbers: [9, 31]\nGenerated Node #0,14,2: 26:[9, 31] Operation: 46-15=31\nMoving to Node #0,14,2\nCurrent State: 26:[9, 31], Operations: ['1+45=46', '46-15=31']\nExploring Operation: 31-9=22, Resulting Numbers: [22]\n22,26 unequal: No Solution\nMoving to Node #0,14,2\nCurrent State: 26:[9, 31], Operations: ['1+45=46', '46-15=31']\nExploring Operation: 9+31=40, Resulting Numbers: [40]\n40,26 unequal: No Solution\nMoving to Node #0,14\nCurrent State: 26:[9, 15, 46], Operations: ['1+45=46']\nExploring Operation: 15-9=6, Resulting Numbers: [46, 6]\nGenerated Node #0,14,3: 26:[46, 6] Operation: 15-9=6\nMoving to Node #0,14,3\nCurrent State: 26:[46, 6], Operations: ['1+45=46', '15-9=6']\nExploring Operation: 46-6=40, Resulting Numbers: [40]\n40,26 unequal: No Solution\nMoving to Node #0,14,3\nCurrent State: 26:[46, 6], Operations: ['1+45=46', '15-9=6']\nExploring Operation: 46+6=52, Resulting Numbers: [52]\n52,26 unequal: No Solution\nMoving to Node #0,14\nCurrent State: 26:[9, 15, 46], Operations: ['1+45=46']\nExploring Operation: 9+46=55, Resulting Numbers: [15, 55]\nGenerated Node #0,14,4: 26:[15, 55] Operation: 9+46=55\nMoving to Node #0,14,4\nCurrent State: 26:[15, 55], Operations: ['1+45=46', '9+46=55']\nExploring Operation: 55-15=40, Resulting Numbers: [40]\n40,26 unequal: No Solution\nMoving to Node #0,14\nCurrent State: 26:[9, 15, 46], Operations: ['1+45=46']\nExploring Operation: 15+46=61, Resulting Numbers: [9, 61]\nGenerated Node #0,14,5: 26:[9, 61] Operation: 15+46=61\nMoving to Node #0,14,5\nCurrent State: 26:[9, 61], Operations: ['1+45=46', '15+46=61']\nExploring Operation: 61-9=52, Resulting Numbers: [52]\n52,26 unequal: No Solution\nMoving to Node #0\nCurrent State: 26:[9, 15, 1, 45], Operations: []\nExploring Operation: 45/9=5, Resulting Numbers: [15, 1, 5]\nGenerated Node #0,15: 26:[15, 1, 5] Operation: 45/9=5\nMoving to Node #0,15\nCurrent State: 26:[15, 1, 5], Operations: ['45/9=5']\nExploring Operation: 15+1=16, Resulting Numbers: [5, 16]\nGenerated Node #0,15,0: 26:[5, 16] Operation: 15+1=16\nMoving to Node #0,15,0\nCurrent State: 26:[5, 16], Operations: ['45/9=5', '15+1=16']\nExploring Operation: 5+16=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,15,0\nCurrent State: 26:[5, 16], Operations: ['45/9=5', '15+1=16']\nExploring Operation: 16-5=11, Resulting Numbers: [11]\n11,26 unequal: No Solution\nMoving to Node #0,15\nCurrent State: 26:[15, 1, 5], Operations: ['45/9=5']\nExploring Operation: 15+5=20, Resulting Numbers: [1, 20]\nGenerated Node #0,15,1: 26:[1, 20] Operation: 15+5=20\nMoving to Node #0,15,1\nCurrent State: 26:[1, 20], Operations: ['45/9=5', '15+5=20']\nExploring Operation: 1+20=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,15,1\nCurrent State: 26:[1, 20], Operations: ['45/9=5', '15+5=20']\nExploring Operation: 1*20=20, Resulting Numbers: [20]\n20,26 unequal: No Solution\nMoving to Node #0,15,1\nCurrent State: 26:[1, 20], Operations: ['45/9=5', '15+5=20']\nExploring Operation: 20/1=20, Resulting Numbers: [20]\n20,26 unequal: No Solution\nMoving to Node #0,15,1\nCurrent State: 26:[1, 20], Operations: ['45/9=5', '15+5=20']\nExploring Operation: 20-1=19, Resulting Numbers: [19]\n19,26 unequal: No Solution\nMoving to Node #0,15\nCurrent State: 26:[15, 1, 5], Operations: ['45/9=5']\nExploring Operation: 1+5=6, Resulting Numbers: [15, 6]\nGenerated Node #0,15,2: 26:[15, 6] Operation: 1+5=6\nMoving to Node #0,15,2\nCurrent State: 26:[15, 6], Operations: ['45/9=5', '1+5=6']\nExploring Operation: 15+6=21, Resulting Numbers: [21]\n21,26 unequal: No Solution\nMoving to Node #0,15,2\nCurrent State: 26:[15, 6], Operations: ['45/9=5', '1+5=6']\nExploring Operation: 15-6=9, Resulting Numbers: [9]\n9,26 unequal: No Solution\nMoving to Node #0,15\nCurrent State: 26:[15, 1, 5], Operations: ['45/9=5']\nExploring Operation: 15*1=15, Resulting Numbers: [5, 15]\nGenerated Node #0,15,3: 26:[5, 15] Operation: 15*1=15\nMoving to Node #0,15,3\nCurrent State: 26:[5, 15], Operations: ['45/9=5', '15*1=15']\nExploring Operation: 5+15=20, Resulting Numbers: [20]\n20,26 unequal: No Solution\nMoving to Node #0,15,3\nCurrent State: 26:[5, 15], Operations: ['45/9=5', '15*1=15']\nExploring Operation: 15-5=10, Resulting Numbers: [10]\n10,26 unequal: No Solution\nMoving to Node #0,15,3\nCurrent State: 26:[5, 15], Operations: ['45/9=5', '15*1=15']\nExploring Operation: 15/5=3, Resulting Numbers: [3]\n3,26 unequal: No Solution\nMoving to Node #0,15\nCurrent State: 26:[15, 1, 5], Operations: ['45/9=5']\nExploring Operation: 15/1=15, Resulting Numbers: [5, 15]\nGenerated Node #0,15,4: 26:[5, 15] Operation: 15/1=15\nMoving to Node #0,15,4\nCurrent State: 26:[5, 15], Operations: ['45/9=5', '15/1=15']\nExploring Operation: 5+15=20, Resulting Numbers: [20]\n20,26 unequal: No Solution\nMoving to Node #0,15,4\nCurrent State: 26:[5, 15], Operations: ['45/9=5', '15/1=15']\nExploring Operation: 15-5=10, Resulting Numbers: [10]\n10,26 unequal: No Solution\nMoving to Node #0,15,4\nCurrent State: 26:[5, 15], Operations: ['45/9=5', '15/1=15']\nExploring Operation: 15/5=3, Resulting Numbers: [3]\n3,26 unequal: No Solution\nMoving to Node #0,15\nCurrent State: 26:[15, 1, 5], Operations: ['45/9=5']\nExploring Operation: 1*5=5, Resulting Numbers: [15, 5]\nGenerated Node #0,15,5: 26:[15, 5] Operation: 1*5=5\nMoving to Node #0,15,5\nCurrent State: 26:[15, 5], Operations: ['45/9=5', '1*5=5']\nExploring Operation: 15+5=20, Resulting Numbers: [20]\n20,26 unequal: No Solution\nMoving to Node #0,15,5\nCurrent State: 26:[15, 5], Operations: ['45/9=5', '1*5=5']\nExploring Operation: 15-5=10, Resulting Numbers: [10]\n10,26 unequal: No Solution\nMoving to Node #0,15,5\nCurrent State: 26:[15, 5], Operations: ['45/9=5', '1*5=5']\nExploring Operation: 15/5=3, Resulting Numbers: [3]\n3,26 unequal: No Solution\nMoving to Node #0,15\nCurrent State: 26:[15, 1, 5], Operations: ['45/9=5']\nExploring Operation: 5/1=5, Resulting Numbers: [15, 5]\nGenerated Node #0,15,6: 26:[15, 5] Operation: 5/1=5\nMoving to Node #0,15,6\nCurrent State: 26:[15, 5], Operations: ['45/9=5', '5/1=5']\nExploring Operation: 15+5=20, Resulting Numbers: [20]\n20,26 unequal: No Solution\nMoving to Node #0,15,6\nCurrent State: 26:[15, 5], Operations: ['45/9=5', '5/1=5']\nExploring Operation: 15-5=10, Resulting Numbers: [10]\n10,26 unequal: No Solution\nMoving to Node #0,15,6\nCurrent State: 26:[15, 5], Operations: ['45/9=5', '5/1=5']\nExploring Operation: 15/5=3, Resulting Numbers: [3]\n3,26 unequal: No Solution\nMoving to Node #0,15\nCurrent State: 26:[15, 1, 5], Operations: ['45/9=5']\nExploring Operation: 15-1=14, Resulting Numbers: [5, 14]\nGenerated Node #0,15,7: 26:[5, 14] Operation: 15-1=14\nMoving to Node #0,15,7\nCurrent State: 26:[5, 14], Operations: ['45/9=5', '15-1=14']\nExploring Operation: 5+14=19, Resulting Numbers: [19]\n19,26 unequal: No Solution\nMoving to Node #0,15,7\nCurrent State: 26:[5, 14], Operations: ['45/9=5', '15-1=14']\nExploring Operation: 14-5=9, Resulting Numbers: [9]\n9,26 unequal: No Solution\nMoving to Node #0,15\nCurrent State: 26:[15, 1, 5], Operations: ['45/9=5']\nExploring Operation: 5-1=4, Resulting Numbers: [15, 4]\nGenerated Node #0,15,8: 26:[15, 4] Operation: 5-1=4\nMoving to Node #0,15,8\nCurrent State: 26:[15, 4], Operations: ['45/9=5', '5-1=4']\nExploring Operation: 15+4=19, Resulting Numbers: [19]\n19,26 unequal: No Solution\nMoving to Node #0,15,8\nCurrent State: 26:[15, 4], Operations: ['45/9=5', '5-1=4']\nExploring Operation: 15-4=11, Resulting Numbers: [11]\n11,26 unequal: No Solution\nMoving to Node #0,15\nCurrent State: 26:[15, 1, 5], Operations: ['45/9=5']\nExploring Operation: 15-5=10, Resulting Numbers: [1, 10]\nGenerated Node #0,15,9: 26:[1, 10] Operation: 15-5=10\nMoving to Node #0,15,9\nCurrent State: 26:[1, 10], Operations: ['45/9=5', '15-5=10']\nExploring Operation: 1+10=11, Resulting Numbers: [11]\n11,26 unequal: No Solution\nMoving to Node #0,15,9\nCurrent State: 26:[1, 10], Operations: ['45/9=5', '15-5=10']\nExploring Operation: 1*10=10, Resulting Numbers: [10]\n10,26 unequal: No Solution\nMoving to Node #0,15,9\nCurrent State: 26:[1, 10], Operations: ['45/9=5', '15-5=10']\nExploring Operation: 10/1=10, Resulting Numbers: [10]\n10,26 unequal: No Solution\nMoving to Node #0,15,9\nCurrent State: 26:[1, 10], Operations: ['45/9=5', '15-5=10']\nExploring Operation: 10-1=9, Resulting Numbers: [9]\n9,26 unequal: No Solution\nMoving to Node #0,15\nCurrent State: 26:[15, 1, 5], Operations: ['45/9=5']\nExploring Operation: 15/5=3, Resulting Numbers: [1, 3]\nGenerated Node #0,15,10: 26:[1, 3] Operation: 15/5=3\nMoving to Node #0,15,10\nCurrent State: 26:[1, 3], Operations: ['45/9=5', '15/5=3']\nExploring Operation: 1+3=4, Resulting Numbers: [4]\n4,26 unequal: No Solution\nMoving to Node #0,15,10\nCurrent State: 26:[1, 3], Operations: ['45/9=5', '15/5=3']\nExploring Operation: 1*3=3, Resulting Numbers: [3]\n3,26 unequal: No Solution\nMoving to Node #0,15,10\nCurrent State: 26:[1, 3], Operations: ['45/9=5', '15/5=3']\nExploring Operation: 3/1=3, Resulting Numbers: [3]\n3,26 unequal: No Solution\nMoving to Node #0,15,10\nCurrent State: 26:[1, 3], Operations: ['45/9=5', '15/5=3']\nExploring Operation: 3-1=2, Resulting Numbers: [2]\n2,26 unequal: No Solution\nMoving to Node #0\nCurrent State: 26:[9, 15, 1, 45], Operations: []\nExploring Operation: 15-9=6, Resulting Numbers: [1, 45, 6]\nGenerated Node #0,16: 26:[1, 45, 6] Operation: 15-9=6\nMoving to Node #0,16\nCurrent State: 26:[1, 45, 6], Operations: ['15-9=6']\nExploring Operation: 45-1=44, Resulting Numbers: [6, 44]\nGenerated Node #0,16,0: 26:[6, 44] Operation: 45-1=44\nMoving to Node #0,16,0\nCurrent State: 26:[6, 44], Operations: ['15-9=6', '45-1=44']\nExploring Operation: 44-6=38, Resulting Numbers: [38]\n38,26 unequal: No Solution\nMoving to Node #0,16,0\nCurrent State: 26:[6, 44], Operations: ['15-9=6', '45-1=44']\nExploring Operation: 6+44=50, Resulting Numbers: [50]\n50,26 unequal: No Solution\nMoving to Node #0,16\nCurrent State: 26:[1, 45, 6], Operations: ['15-9=6']\nExploring Operation: 1+6=7, Resulting Numbers: [45, 7]\nGenerated Node #0,16,1: 26:[45, 7] Operation: 1+6=7\nMoving to Node #0,16,1\nCurrent State: 26:[45, 7], Operations: ['15-9=6', '1+6=7']\nExploring Operation: 45-7=38, Resulting Numbers: [38]\n38,26 unequal: No Solution\nMoving to Node #0,16,1\nCurrent State: 26:[45, 7], Operations: ['15-9=6', '1+6=7']\nExploring Operation: 45+7=52, Resulting Numbers: [52]\n52,26 unequal: No Solution\nMoving to Node #0,16\nCurrent State: 26:[1, 45, 6], Operations: ['15-9=6']\nExploring Operation: 45-6=39, Resulting Numbers: [1, 39]\nGenerated Node #0,16,2: 26:[1, 39] Operation: 45-6=39\nMoving to Node #0,16,2\nCurrent State: 26:[1, 39], Operations: ['15-9=6', '45-6=39']\nExploring Operation: 39-1=38, Resulting Numbers: [38]\n38,26 unequal: No Solution\nMoving to Node #0,16,2\nCurrent State: 26:[1, 39], Operations: ['15-9=6', '45-6=39']\nExploring Operation: 1*39=39, Resulting Numbers: [39]\n39,26 unequal: No Solution\nMoving to Node #0,16,2\nCurrent State: 26:[1, 39], Operations: ['15-9=6', '45-6=39']\nExploring Operation: 39/1=39, Resulting Numbers: [39]\n39,26 unequal: No Solution\nMoving to Node #0,16,2\nCurrent State: 26:[1, 39], Operations: ['15-9=6', '45-6=39']\nExploring Operation: 1+39=40, Resulting Numbers: [40]\n40,26 unequal: No Solution\nMoving to Node #0,16\nCurrent State: 26:[1, 45, 6], Operations: ['15-9=6']\nExploring Operation: 1*45=45, Resulting Numbers: [6, 45]\nGenerated Node #0,16,3: 26:[6, 45] Operation: 1*45=45\nMoving to Node #0,16,3\nCurrent State: 26:[6, 45], Operations: ['15-9=6', '1*45=45']\nExploring Operation: 45-6=39, Resulting Numbers: [39]\n39,26 unequal: No Solution\nMoving to Node #0,16,3\nCurrent State: 26:[6, 45], Operations: ['15-9=6', '1*45=45']\nExploring Operation: 6+45=51, Resulting Numbers: [51]\n51,26 unequal: No Solution\nMoving to Node #0,16\nCurrent State: 26:[1, 45, 6], Operations: ['15-9=6']\nExploring Operation: 45/1=45, Resulting Numbers: [6, 45]\nGenerated Node #0,16,4: 26:[6, 45] Operation: 45/1=45\nMoving to Node #0,16,4\nCurrent State: 26:[6, 45], Operations: ['15-9=6', '45/1=45']\nExploring Operation: 45-6=39, Resulting Numbers: [39]\n39,26 unequal: No Solution\nMoving to Node #0,16,4\nCurrent State: 26:[6, 45], Operations: ['15-9=6', '45/1=45']\nExploring Operation: 6+45=51, Resulting Numbers: [51]\n51,26 unequal: No Solution\nMoving to Node #0,16\nCurrent State: 26:[1, 45, 6], Operations: ['15-9=6']\nExploring Operation: 1*6=6, Resulting Numbers: [45, 6]\nGenerated Node #0,16,5: 26:[45, 6] Operation: 1*6=6\nMoving to Node #0,16,5\nCurrent State: 26:[45, 6], Operations: ['15-9=6', '1*6=6']\nExploring Operation: 45-6=39, Resulting Numbers: [39]\n39,26 unequal: No Solution\nMoving to Node #0,16,5\nCurrent State: 26:[45, 6], Operations: ['15-9=6', '1*6=6']\nExploring Operation: 45+6=51, Resulting Numbers: [51]\n51,26 unequal: No Solution\nMoving to Node #0,16\nCurrent State: 26:[1, 45, 6], Operations: ['15-9=6']\nExploring Operation: 6/1=6, Resulting Numbers: [45, 6]\nGenerated Node #0,16,6: 26:[45, 6] Operation: 6/1=6\nMoving to Node #0,16,6\nCurrent State: 26:[45, 6], Operations: ['15-9=6', '6/1=6']\nExploring Operation: 45-6=39, Resulting Numbers: [39]\n39,26 unequal: No Solution\nMoving to Node #0,16,6\nCurrent State: 26:[45, 6], Operations: ['15-9=6', '6/1=6']\nExploring Operation: 45+6=51, Resulting Numbers: [51]\n51,26 unequal: No Solution\nMoving to Node #0,16\nCurrent State: 26:[1, 45, 6], Operations: ['15-9=6']\nExploring Operation: 1+45=46, Resulting Numbers: [6, 46]\nGenerated Node #0,16,7: 26:[6, 46] Operation: 1+45=46\nMoving to Node #0,16,7\nCurrent State: 26:[6, 46], Operations: ['15-9=6', '1+45=46']\nExploring Operation: 46-6=40, Resulting Numbers: [40]\n40,26 unequal: No Solution\nMoving to Node #0,16,7\nCurrent State: 26:[6, 46], Operations: ['15-9=6', '1+45=46']\nExploring Operation: 6+46=52, Resulting Numbers: [52]\n52,26 unequal: No Solution\nMoving to Node #0,16\nCurrent State: 26:[1, 45, 6], Operations: ['15-9=6']\nExploring Operation: 6-1=5, Resulting Numbers: [45, 5]\nGenerated Node #0,16,8: 26:[45, 5] Operation: 6-1=5\nMoving to Node #0,16,8\nCurrent State: 26:[45, 5], Operations: ['15-9=6', '6-1=5']\nExploring Operation: 45-5=40, Resulting Numbers: [40]\n40,26 unequal: No Solution\nMoving to Node #0,16,8\nCurrent State: 26:[45, 5], Operations: ['15-9=6', '6-1=5']\nExploring Operation: 45/5=9, Resulting Numbers: [9]\n9,26 unequal: No Solution\nMoving to Node #0,16,8\nCurrent State: 26:[45, 5], Operations: ['15-9=6', '6-1=5']\nExploring Operation: 45+5=50, Resulting Numbers: [50]\n50,26 unequal: No Solution\nMoving to Node #0,16\nCurrent State: 26:[1, 45, 6], Operations: ['15-9=6']\nExploring Operation: 45+6=51, Resulting Numbers: [1, 51]\nGenerated Node #0,16,9: 26:[1, 51] Operation: 45+6=51\nMoving to Node #0,16,9\nCurrent State: 26:[1, 51], Operations: ['15-9=6', '45+6=51']\nExploring Operation: 51-1=50, Resulting Numbers: [50]\n50,26 unequal: No Solution\nMoving to Node #0,16,9\nCurrent State: 26:[1, 51], Operations: ['15-9=6', '45+6=51']\nExploring Operation: 1*51=51, Resulting Numbers: [51]\n51,26 unequal: No Solution\nMoving to Node #0,16,9\nCurrent State: 26:[1, 51], Operations: ['15-9=6', '45+6=51']\nExploring Operation: 51/1=51, Resulting Numbers: [51]\n51,26 unequal: No Solution\nMoving to Node #0,16,9\nCurrent State: 26:[1, 51], Operations: ['15-9=6', '45+6=51']\nExploring Operation: 1+51=52, Resulting Numbers: [52]\n52,26 unequal: No Solution\nMoving to Node #0\nCurrent State: 26:[9, 15, 1, 45], Operations: []\nExploring Operation: 9+45=54, Resulting Numbers: [15, 1, 54]\nGenerated Node #0,17: 26:[15, 1, 54] Operation: 9+45=54\nMoving to Node #0,17\nCurrent State: 26:[15, 1, 54], Operations: ['9+45=54']\nExploring Operation: 15+1=16, Resulting Numbers: [54, 16]\nGenerated Node #0,17,0: 26:[54, 16] Operation: 15+1=16\nMoving to Node #0,17,0\nCurrent State: 26:[54, 16], Operations: ['9+45=54', '15+1=16']\nExploring Operation: 54-16=38, Resulting Numbers: [38]\n38,26 unequal: No Solution\nMoving to Node #0,17\nCurrent State: 26:[15, 1, 54], Operations: ['9+45=54']\nExploring Operation: 54-15=39, Resulting Numbers: [1, 39]\nGenerated Node #0,17,1: 26:[1, 39] Operation: 54-15=39\nMoving to Node #0,17,1\nCurrent State: 26:[1, 39], Operations: ['9+45=54', '54-15=39']\nExploring Operation: 39-1=38, Resulting Numbers: [38]\n38,26 unequal: No Solution\nMoving to Node #0,17,1\nCurrent State: 26:[1, 39], Operations: ['9+45=54', '54-15=39']\nExploring Operation: 1*39=39, Resulting Numbers: [39]\n39,26 unequal: No Solution\nMoving to Node #0,17,1\nCurrent State: 26:[1, 39], Operations: ['9+45=54', '54-15=39']\nExploring Operation: 39/1=39, Resulting Numbers: [39]\n39,26 unequal: No Solution\nMoving to Node #0,17,1\nCurrent State: 26:[1, 39], Operations: ['9+45=54', '54-15=39']\nExploring Operation: 1+39=40, Resulting Numbers: [40]\n40,26 unequal: No Solution\nMoving to Node #0,17\nCurrent State: 26:[15, 1, 54], Operations: ['9+45=54']\nExploring Operation: 54-1=53, Resulting Numbers: [15, 53]\nGenerated Node #0,17,2: 26:[15, 53] Operation: 54-1=53\nMoving to Node #0,17,2\nCurrent State: 26:[15, 53], Operations: ['9+45=54', '54-1=53']\nExploring Operation: 53-15=38, Resulting Numbers: [38]\n38,26 unequal: No Solution\nMoving to Node #0,17\nCurrent State: 26:[15, 1, 54], Operations: ['9+45=54']\nExploring Operation: 15*1=15, Resulting Numbers: [54, 15]\nGenerated Node #0,17,3: 26:[54, 15] Operation: 15*1=15\nMoving to Node #0,17,3\nCurrent State: 26:[54, 15], Operations: ['9+45=54', '15*1=15']\nExploring Operation: 54-15=39, Resulting Numbers: [39]\n39,26 unequal: No Solution\nMoving to Node #0,17\nCurrent State: 26:[15, 1, 54], Operations: ['9+45=54']\nExploring Operation: 15/1=15, Resulting Numbers: [54, 15]\nGenerated Node #0,17,4: 26:[54, 15] Operation: 15/1=15\nMoving to Node #0,17,4\nCurrent State: 26:[54, 15], Operations: ['9+45=54', '15/1=15']\nExploring Operation: 54-15=39, Resulting Numbers: [39]\n39,26 unequal: No Solution\nMoving to Node #0,17\nCurrent State: 26:[15, 1, 54], Operations: ['9+45=54']\nExploring Operation: 1*54=54, Resulting Numbers: [15, 54]\nGenerated Node #0,17,5: 26:[15, 54] Operation: 1*54=54\nMoving to Node #0,17,5\nCurrent State: 26:[15, 54], Operations: ['9+45=54', '1*54=54']\nExploring Operation: 54-15=39, Resulting Numbers: [39]\n39,26 unequal: No Solution\nMoving to Node #0,17\nCurrent State: 26:[15, 1, 54], Operations: ['9+45=54']\nExploring Operation: 54/1=54, Resulting Numbers: [15, 54]\nGenerated Node #0,17,6: 26:[15, 54] Operation: 54/1=54\nMoving to Node #0,17,6\nCurrent State: 26:[15, 54], Operations: ['9+45=54', '54/1=54']\nExploring Operation: 54-15=39, Resulting Numbers: [39]\n39,26 unequal: No Solution\nMoving to Node #0,17\nCurrent State: 26:[15, 1, 54], Operations: ['9+45=54']\nExploring Operation: 15-1=14, Resulting Numbers: [54, 14]\nGenerated Node #0,17,7: 26:[54, 14] Operation: 15-1=14\nMoving to Node #0,17,7\nCurrent State: 26:[54, 14], Operations: ['9+45=54', '15-1=14']\nExploring Operation: 54-14=40, Resulting Numbers: [40]\n40,26 unequal: No Solution\nMoving to Node #0,17\nCurrent State: 26:[15, 1, 54], Operations: ['9+45=54']\nExploring Operation: 1+54=55, Resulting Numbers: [15, 55]\nGenerated Node #0,17,8: 26:[15, 55] Operation: 1+54=55\nMoving to Node #0,17,8\nCurrent State: 26:[15, 55], Operations: ['9+45=54', '1+54=55']\nExploring Operation: 55-15=40, Resulting Numbers: [40]\n40,26 unequal: No Solution\nMoving to Node #0\nCurrent State: 26:[9, 15, 1, 45], Operations: []\nExploring Operation: 45/15=3, Resulting Numbers: [9, 1, 3]\nGenerated Node #0,18: 26:[9, 1, 3] Operation: 45/15=3\nMoving to Node #0,18\nCurrent State: 26:[9, 1, 3], Operations: ['45/15=3']\nExploring Operation: 9*3=27, Resulting Numbers: [1, 27]\nGenerated Node #0,18,0: 26:[1, 27] Operation: 9*3=27\nMoving to Node #0,18,0\nCurrent State: 26:[1, 27], Operations: ['45/15=3', '9*3=27']\nExploring Operation: 27-1=26, Resulting Numbers: [26]\n26,26 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [78, 90, 96, 29] using the four basic arithmetic operations (+, -, *, /) to reach 84.",
"role": "user"
},
{
"content": "Current State: 84:[78, 90, 96, 29], Operations: []\nExploring Operation: 96-29=67, Resulting Numbers: [78, 90, 67]\nGenerated Node #0,0: 84:[78, 90, 67] Operation: 96-29=67\nMoving to Node #0,0\nCurrent State: 84:[78, 90, 67], Operations: ['96-29=67']\nExploring Operation: 78+67=145, Resulting Numbers: [90, 145]\nGenerated Node #0,0,0: 84:[90, 145] Operation: 78+67=145\nMoving to Node #0,0,0\nCurrent State: 84:[90, 145], Operations: ['96-29=67', '78+67=145']\nExploring Operation: 145-90=55, Resulting Numbers: [55]\n55,84 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 84:[78, 90, 67], Operations: ['96-29=67']\nExploring Operation: 90-67=23, Resulting Numbers: [78, 23]\nGenerated Node #0,0,1: 84:[78, 23] Operation: 90-67=23\nMoving to Node #0,0,1\nCurrent State: 84:[78, 23], Operations: ['96-29=67', '90-67=23']\nExploring Operation: 78+23=101, Resulting Numbers: [101]\n101,84 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 84:[78, 23], Operations: ['96-29=67', '90-67=23']\nExploring Operation: 78-23=55, Resulting Numbers: [55]\n55,84 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 84:[78, 90, 67], Operations: ['96-29=67']\nExploring Operation: 78-67=11, Resulting Numbers: [90, 11]\nGenerated Node #0,0,2: 84:[90, 11] Operation: 78-67=11\nMoving to Node #0,0,2\nCurrent State: 84:[90, 11], Operations: ['96-29=67', '78-67=11']\nExploring Operation: 90-11=79, Resulting Numbers: [79]\n79,84 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 84:[90, 11], Operations: ['96-29=67', '78-67=11']\nExploring Operation: 90+11=101, Resulting Numbers: [101]\n101,84 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 84:[78, 90, 67], Operations: ['96-29=67']\nExploring Operation: 90+67=157, Resulting Numbers: [78, 157]\nGenerated Node #0,0,3: 84:[78, 157] Operation: 90+67=157\nMoving to Node #0,0,3\nCurrent State: 84:[78, 157], Operations: ['96-29=67', '90+67=157']\nExploring Operation: 157-78=79, Resulting Numbers: [79]\n79,84 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 84:[78, 90, 67], Operations: ['96-29=67']\nExploring Operation: 90-78=12, Resulting Numbers: [67, 12]\nGenerated Node #0,0,4: 84:[67, 12] Operation: 90-78=12\nMoving to Node #0,0,4\nCurrent State: 84:[67, 12], Operations: ['96-29=67', '90-78=12']\nExploring Operation: 67+12=79, Resulting Numbers: [79]\n79,84 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 84:[67, 12], Operations: ['96-29=67', '90-78=12']\nExploring Operation: 67-12=55, Resulting Numbers: [55]\n55,84 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 84:[78, 90, 67], Operations: ['96-29=67']\nExploring Operation: 78+90=168, Resulting Numbers: [67, 168]\nGenerated Node #0,0,5: 84:[67, 168] Operation: 78+90=168\nMoving to Node #0,0,5\nCurrent State: 84:[67, 168], Operations: ['96-29=67', '78+90=168']\nExploring Operation: 168-67=101, Resulting Numbers: [101]\n101,84 unequal: No Solution\nMoving to Node #0\nCurrent State: 84:[78, 90, 96, 29], Operations: []\nExploring Operation: 78+29=107, Resulting Numbers: [90, 96, 107]\nGenerated Node #0,1: 84:[90, 96, 107] Operation: 78+29=107\nMoving to Node #0,1\nCurrent State: 84:[90, 96, 107], Operations: ['78+29=107']\nExploring Operation: 107-90=17, Resulting Numbers: [96, 17]\nGenerated Node #0,1,0: 84:[96, 17] Operation: 107-90=17\nMoving to Node #0,1,0\nCurrent State: 84:[96, 17], Operations: ['78+29=107', '107-90=17']\nExploring Operation: 96-17=79, Resulting Numbers: [79]\n79,84 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 84:[96, 17], Operations: ['78+29=107', '107-90=17']\nExploring Operation: 96+17=113, Resulting Numbers: [113]\n113,84 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 84:[90, 96, 107], Operations: ['78+29=107']\nExploring Operation: 107-96=11, Resulting Numbers: [90, 11]\nGenerated Node #0,1,1: 84:[90, 11] Operation: 107-96=11\nMoving to Node #0,1,1\nCurrent State: 84:[90, 11], Operations: ['78+29=107', '107-96=11']\nExploring Operation: 90-11=79, Resulting Numbers: [79]\n79,84 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 84:[90, 11], Operations: ['78+29=107', '107-96=11']\nExploring Operation: 90+11=101, Resulting Numbers: [101]\n101,84 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 84:[90, 96, 107], Operations: ['78+29=107']\nExploring Operation: 96-90=6, Resulting Numbers: [107, 6]\nGenerated Node #0,1,2: 84:[107, 6] Operation: 96-90=6\nMoving to Node #0,1,2\nCurrent State: 84:[107, 6], Operations: ['78+29=107', '96-90=6']\nExploring Operation: 107-6=101, Resulting Numbers: [101]\n101,84 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 84:[107, 6], Operations: ['78+29=107', '96-90=6']\nExploring Operation: 107+6=113, Resulting Numbers: [113]\n113,84 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 84:[90, 96, 107], Operations: ['78+29=107']\nExploring Operation: 90+96=186, Resulting Numbers: [107, 186]\nGenerated Node #0,1,3: 84:[107, 186] Operation: 90+96=186\nMoving to Node #0,1,3\nCurrent State: 84:[107, 186], Operations: ['78+29=107', '90+96=186']\nExploring Operation: 186-107=79, Resulting Numbers: [79]\n79,84 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 84:[90, 96, 107], Operations: ['78+29=107']\nExploring Operation: 90+107=197, Resulting Numbers: [96, 197]\nGenerated Node #0,1,4: 84:[96, 197] Operation: 90+107=197\nMoving to Node #0,1,4\nCurrent State: 84:[96, 197], Operations: ['78+29=107', '90+107=197']\nExploring Operation: 197-96=101, Resulting Numbers: [101]\n101,84 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 84:[90, 96, 107], Operations: ['78+29=107']\nExploring Operation: 96+107=203, Resulting Numbers: [90, 203]\nGenerated Node #0,1,5: 84:[90, 203] Operation: 96+107=203\nMoving to Node #0,1,5\nCurrent State: 84:[90, 203], Operations: ['78+29=107', '96+107=203']\nExploring Operation: 203-90=113, Resulting Numbers: [113]\n113,84 unequal: No Solution\nMoving to Node #0\nCurrent State: 84:[78, 90, 96, 29], Operations: []\nExploring Operation: 90-29=61, Resulting Numbers: [78, 96, 61]\nGenerated Node #0,2: 84:[78, 96, 61] Operation: 90-29=61\nMoving to Node #0,2\nCurrent State: 84:[78, 96, 61], Operations: ['90-29=61']\nExploring Operation: 96-61=35, Resulting Numbers: [78, 35]\nGenerated Node #0,2,0: 84:[78, 35] Operation: 96-61=35\nMoving to Node #0,2,0\nCurrent State: 84:[78, 35], Operations: ['90-29=61', '96-61=35']\nExploring Operation: 78+35=113, Resulting Numbers: [113]\n113,84 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 84:[78, 35], Operations: ['90-29=61', '96-61=35']\nExploring Operation: 78-35=43, Resulting Numbers: [43]\n43,84 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 84:[78, 96, 61], Operations: ['90-29=61']\nExploring Operation: 78+61=139, Resulting Numbers: [96, 139]\nGenerated Node #0,2,1: 84:[96, 139] Operation: 78+61=139\nMoving to Node #0,2,1\nCurrent State: 84:[96, 139], Operations: ['90-29=61', '78+61=139']\nExploring Operation: 139-96=43, Resulting Numbers: [43]\n43,84 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 84:[78, 96, 61], Operations: ['90-29=61']\nExploring Operation: 78-61=17, Resulting Numbers: [96, 17]\nGenerated Node #0,2,2: 84:[96, 17] Operation: 78-61=17\nMoving to Node #0,2,2\nCurrent State: 84:[96, 17], Operations: ['90-29=61', '78-61=17']\nExploring Operation: 96-17=79, Resulting Numbers: [79]\n79,84 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 84:[96, 17], Operations: ['90-29=61', '78-61=17']\nExploring Operation: 96+17=113, Resulting Numbers: [113]\n113,84 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 84:[78, 96, 61], Operations: ['90-29=61']\nExploring Operation: 96+61=157, Resulting Numbers: [78, 157]\nGenerated Node #0,2,3: 84:[78, 157] Operation: 96+61=157\nMoving to Node #0,2,3\nCurrent State: 84:[78, 157], Operations: ['90-29=61', '96+61=157']\nExploring Operation: 157-78=79, Resulting Numbers: [79]\n79,84 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 84:[78, 96, 61], Operations: ['90-29=61']\nExploring Operation: 96-78=18, Resulting Numbers: [61, 18]\nGenerated Node #0,2,4: 84:[61, 18] Operation: 96-78=18\nMoving to Node #0,2,4\nCurrent State: 84:[61, 18], Operations: ['90-29=61', '96-78=18']\nExploring Operation: 61+18=79, Resulting Numbers: [79]\n79,84 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 84:[61, 18], Operations: ['90-29=61', '96-78=18']\nExploring Operation: 61-18=43, Resulting Numbers: [43]\n43,84 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 84:[78, 96, 61], Operations: ['90-29=61']\nExploring Operation: 78+96=174, Resulting Numbers: [61, 174]\nGenerated Node #0,2,5: 84:[61, 174] Operation: 78+96=174\nMoving to Node #0,2,5\nCurrent State: 84:[61, 174], Operations: ['90-29=61', '78+96=174']\nExploring Operation: 174-61=113, Resulting Numbers: [113]\n113,84 unequal: No Solution\nMoving to Node #0\nCurrent State: 84:[78, 90, 96, 29], Operations: []\nExploring Operation: 78-29=49, Resulting Numbers: [90, 96, 49]\nGenerated Node #0,3: 84:[90, 96, 49] Operation: 78-29=49\nMoving to Node #0,3\nCurrent State: 84:[90, 96, 49], Operations: ['78-29=49']\nExploring Operation: 96-49=47, Resulting Numbers: [90, 47]\nGenerated Node #0,3,0: 84:[90, 47] Operation: 96-49=47\nMoving to Node #0,3,0\nCurrent State: 84:[90, 47], Operations: ['78-29=49', '96-49=47']\nExploring Operation: 90-47=43, Resulting Numbers: [43]\n43,84 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 84:[90, 47], Operations: ['78-29=49', '96-49=47']\nExploring Operation: 90+47=137, Resulting Numbers: [137]\n137,84 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 84:[90, 96, 49], Operations: ['78-29=49']\nExploring Operation: 90-49=41, Resulting Numbers: [96, 41]\nGenerated Node #0,3,1: 84:[96, 41] Operation: 90-49=41\nMoving to Node #0,3,1\nCurrent State: 84:[96, 41], Operations: ['78-29=49', '90-49=41']\nExploring Operation: 96-41=55, Resulting Numbers: [55]\n55,84 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 84:[96, 41], Operations: ['78-29=49', '90-49=41']\nExploring Operation: 96+41=137, Resulting Numbers: [137]\n137,84 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 84:[90, 96, 49], Operations: ['78-29=49']\nExploring Operation: 90+49=139, Resulting Numbers: [96, 139]\nGenerated Node #0,3,2: 84:[96, 139] Operation: 90+49=139\nMoving to Node #0,3,2\nCurrent State: 84:[96, 139], Operations: ['78-29=49', '90+49=139']\nExploring Operation: 139-96=43, Resulting Numbers: [43]\n43,84 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 84:[90, 96, 49], Operations: ['78-29=49']\nExploring Operation: 96+49=145, Resulting Numbers: [90, 145]\nGenerated Node #0,3,3: 84:[90, 145] Operation: 96+49=145\nMoving to Node #0,3,3\nCurrent State: 84:[90, 145], Operations: ['78-29=49', '96+49=145']\nExploring Operation: 145-90=55, Resulting Numbers: [55]\n55,84 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 84:[90, 96, 49], Operations: ['78-29=49']\nExploring Operation: 96-90=6, Resulting Numbers: [49, 6]\nGenerated Node #0,3,4: 84:[49, 6] Operation: 96-90=6\nMoving to Node #0,3,4\nCurrent State: 84:[49, 6], Operations: ['78-29=49', '96-90=6']\nExploring Operation: 49+6=55, Resulting Numbers: [55]\n55,84 unequal: No Solution\nMoving to Node #0,3,4\nCurrent State: 84:[49, 6], Operations: ['78-29=49', '96-90=6']\nExploring Operation: 49-6=43, Resulting Numbers: [43]\n43,84 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 84:[90, 96, 49], Operations: ['78-29=49']\nExploring Operation: 90+96=186, Resulting Numbers: [49, 186]\nGenerated Node #0,3,5: 84:[49, 186] Operation: 90+96=186\nMoving to Node #0,3,5\nCurrent State: 84:[49, 186], Operations: ['78-29=49', '90+96=186']\nExploring Operation: 186-49=137, Resulting Numbers: [137]\n137,84 unequal: No Solution\nMoving to Node #0\nCurrent State: 84:[78, 90, 96, 29], Operations: []\nExploring Operation: 90+29=119, Resulting Numbers: [78, 96, 119]\nGenerated Node #0,4: 84:[78, 96, 119] Operation: 90+29=119\nMoving to Node #0,4\nCurrent State: 84:[78, 96, 119], Operations: ['90+29=119']\nExploring Operation: 119-78=41, Resulting Numbers: [96, 41]\nGenerated Node #0,4,0: 84:[96, 41] Operation: 119-78=41\nMoving to Node #0,4,0\nCurrent State: 84:[96, 41], Operations: ['90+29=119', '119-78=41']\nExploring Operation: 96-41=55, Resulting Numbers: [55]\n55,84 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 84:[96, 41], Operations: ['90+29=119', '119-78=41']\nExploring Operation: 96+41=137, Resulting Numbers: [137]\n137,84 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 84:[78, 96, 119], Operations: ['90+29=119']\nExploring Operation: 119-96=23, Resulting Numbers: [78, 23]\nGenerated Node #0,4,1: 84:[78, 23] Operation: 119-96=23\nMoving to Node #0,4,1\nCurrent State: 84:[78, 23], Operations: ['90+29=119', '119-96=23']\nExploring Operation: 78+23=101, Resulting Numbers: [101]\n101,84 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 84:[78, 23], Operations: ['90+29=119', '119-96=23']\nExploring Operation: 78-23=55, Resulting Numbers: [55]\n55,84 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 84:[78, 96, 119], Operations: ['90+29=119']\nExploring Operation: 96-78=18, Resulting Numbers: [119, 18]\nGenerated Node #0,4,2: 84:[119, 18] Operation: 96-78=18\nMoving to Node #0,4,2\nCurrent State: 84:[119, 18], Operations: ['90+29=119', '96-78=18']\nExploring Operation: 119-18=101, Resulting Numbers: [101]\n101,84 unequal: No Solution\nMoving to Node #0,4,2\nCurrent State: 84:[119, 18], Operations: ['90+29=119', '96-78=18']\nExploring Operation: 119+18=137, Resulting Numbers: [137]\n137,84 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 84:[78, 96, 119], Operations: ['90+29=119']\nExploring Operation: 78+96=174, Resulting Numbers: [119, 174]\nGenerated Node #0,4,3: 84:[119, 174] Operation: 78+96=174\nMoving to Node #0,4,3\nCurrent State: 84:[119, 174], Operations: ['90+29=119', '78+96=174']\nExploring Operation: 174-119=55, Resulting Numbers: [55]\n55,84 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 84:[78, 96, 119], Operations: ['90+29=119']\nExploring Operation: 78+119=197, Resulting Numbers: [96, 197]\nGenerated Node #0,4,4: 84:[96, 197] Operation: 78+119=197\nMoving to Node #0,4,4\nCurrent State: 84:[96, 197], Operations: ['90+29=119', '78+119=197']\nExploring Operation: 197-96=101, Resulting Numbers: [101]\n101,84 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 84:[78, 96, 119], Operations: ['90+29=119']\nExploring Operation: 96+119=215, Resulting Numbers: [78, 215]\nGenerated Node #0,4,5: 84:[78, 215] Operation: 96+119=215\nMoving to Node #0,4,5\nCurrent State: 84:[78, 215], Operations: ['90+29=119', '96+119=215']\nExploring Operation: 215-78=137, Resulting Numbers: [137]\n137,84 unequal: No Solution\nMoving to Node #0\nCurrent State: 84:[78, 90, 96, 29], Operations: []\nExploring Operation: 96+29=125, Resulting Numbers: [78, 90, 125]\nGenerated Node #0,5: 84:[78, 90, 125] Operation: 96+29=125\nMoving to Node #0,5\nCurrent State: 84:[78, 90, 125], Operations: ['96+29=125']\nExploring Operation: 125-78=47, Resulting Numbers: [90, 47]\nGenerated Node #0,5,0: 84:[90, 47] Operation: 125-78=47\nMoving to Node #0,5,0\nCurrent State: 84:[90, 47], Operations: ['96+29=125', '125-78=47']\nExploring Operation: 90-47=43, Resulting Numbers: [43]\n43,84 unequal: No Solution\nMoving to Node #0,5,0\nCurrent State: 84:[90, 47], Operations: ['96+29=125', '125-78=47']\nExploring Operation: 90+47=137, Resulting Numbers: [137]\n137,84 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 84:[78, 90, 125], Operations: ['96+29=125']\nExploring Operation: 125-90=35, Resulting Numbers: [78, 35]\nGenerated Node #0,5,1: 84:[78, 35] Operation: 125-90=35\nMoving to Node #0,5,1\nCurrent State: 84:[78, 35], Operations: ['96+29=125', '125-90=35']\nExploring Operation: 78+35=113, Resulting Numbers: [113]\n113,84 unequal: No Solution\nMoving to Node #0,5,1\nCurrent State: 84:[78, 35], Operations: ['96+29=125', '125-90=35']\nExploring Operation: 78-35=43, Resulting Numbers: [43]\n43,84 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 84:[78, 90, 125], Operations: ['96+29=125']\nExploring Operation: 90-78=12, Resulting Numbers: [125, 12]\nGenerated Node #0,5,2: 84:[125, 12] Operation: 90-78=12\nMoving to Node #0,5,2\nCurrent State: 84:[125, 12], Operations: ['96+29=125', '90-78=12']\nExploring Operation: 125-12=113, Resulting Numbers: [113]\n113,84 unequal: No Solution\nMoving to Node #0,5,2\nCurrent State: 84:[125, 12], Operations: ['96+29=125', '90-78=12']\nExploring Operation: 125+12=137, Resulting Numbers: [137]\n137,84 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 84:[78, 90, 125], Operations: ['96+29=125']\nExploring Operation: 78+90=168, Resulting Numbers: [125, 168]\nGenerated Node #0,5,3: 84:[125, 168] Operation: 78+90=168\nMoving to Node #0,5,3\nCurrent State: 84:[125, 168], Operations: ['96+29=125', '78+90=168']\nExploring Operation: 168-125=43, Resulting Numbers: [43]\n43,84 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 84:[78, 90, 125], Operations: ['96+29=125']\nExploring Operation: 78+125=203, Resulting Numbers: [90, 203]\nGenerated Node #0,5,4: 84:[90, 203] Operation: 78+125=203\nMoving to Node #0,5,4\nCurrent State: 84:[90, 203], Operations: ['96+29=125', '78+125=203']\nExploring Operation: 203-90=113, Resulting Numbers: [113]\n113,84 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 84:[78, 90, 125], Operations: ['96+29=125']\nExploring Operation: 90+125=215, Resulting Numbers: [78, 215]\nGenerated Node #0,5,5: 84:[78, 215] Operation: 90+125=215\nMoving to Node #0,5,5\nCurrent State: 84:[78, 215], Operations: ['96+29=125', '90+125=215']\nExploring Operation: 215-78=137, Resulting Numbers: [137]\n137,84 unequal: No Solution\nMoving to Node #0\nCurrent State: 84:[78, 90, 96, 29], Operations: []\nExploring Operation: 96-78=18, Resulting Numbers: [90, 29, 18]\nGenerated Node #0,6: 84:[90, 29, 18] Operation: 96-78=18\nMoving to Node #0,6\nCurrent State: 84:[90, 29, 18], Operations: ['96-78=18']\nExploring Operation: 29+18=47, Resulting Numbers: [90, 47]\nGenerated Node #0,6,0: 84:[90, 47] Operation: 29+18=47\nMoving to Node #0,6,0\nCurrent State: 84:[90, 47], Operations: ['96-78=18', '29+18=47']\nExploring Operation: 90-47=43, Resulting Numbers: [43]\n43,84 unequal: No Solution\nMoving to Node #0,6,0\nCurrent State: 84:[90, 47], Operations: ['96-78=18', '29+18=47']\nExploring Operation: 90+47=137, Resulting Numbers: [137]\n137,84 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 84:[90, 29, 18], Operations: ['96-78=18']\nExploring Operation: 90-18=72, Resulting Numbers: [29, 72]\nGenerated Node #0,6,1: 84:[29, 72] Operation: 90-18=72\nMoving to Node #0,6,1\nCurrent State: 84:[29, 72], Operations: ['96-78=18', '90-18=72']\nExploring Operation: 29+72=101, Resulting Numbers: [101]\n101,84 unequal: No Solution\nMoving to Node #0,6,1\nCurrent State: 84:[29, 72], Operations: ['96-78=18', '90-18=72']\nExploring Operation: 72-29=43, Resulting Numbers: [43]\n43,84 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 84:[90, 29, 18], Operations: ['96-78=18']\nExploring Operation: 90+18=108, Resulting Numbers: [29, 108]\nGenerated Node #0,6,2: 84:[29, 108] Operation: 90+18=108\nMoving to Node #0,6,2\nCurrent State: 84:[29, 108], Operations: ['96-78=18', '90+18=108']\nExploring Operation: 108-29=79, Resulting Numbers: [79]\n79,84 unequal: No Solution\nMoving to Node #0,6,2\nCurrent State: 84:[29, 108], Operations: ['96-78=18', '90+18=108']\nExploring Operation: 29+108=137, Resulting Numbers: [137]\n137,84 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 84:[90, 29, 18], Operations: ['96-78=18']\nExploring Operation: 29-18=11, Resulting Numbers: [90, 11]\nGenerated Node #0,6,3: 84:[90, 11] Operation: 29-18=11\nMoving to Node #0,6,3\nCurrent State: 84:[90, 11], Operations: ['96-78=18', '29-18=11']\nExploring Operation: 90-11=79, Resulting Numbers: [79]\n79,84 unequal: No Solution\nMoving to Node #0,6,3\nCurrent State: 84:[90, 11], Operations: ['96-78=18', '29-18=11']\nExploring Operation: 90+11=101, Resulting Numbers: [101]\n101,84 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 84:[90, 29, 18], Operations: ['96-78=18']\nExploring Operation: 90-29=61, Resulting Numbers: [18, 61]\nGenerated Node #0,6,4: 84:[18, 61] Operation: 90-29=61\nMoving to Node #0,6,4\nCurrent State: 84:[18, 61], Operations: ['96-78=18', '90-29=61']\nExploring Operation: 18+61=79, Resulting Numbers: [79]\n79,84 unequal: No Solution\nMoving to Node #0,6,4\nCurrent State: 84:[18, 61], Operations: ['96-78=18', '90-29=61']\nExploring Operation: 61-18=43, Resulting Numbers: [43]\n43,84 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 84:[90, 29, 18], Operations: ['96-78=18']\nExploring Operation: 90+29=119, Resulting Numbers: [18, 119]\nGenerated Node #0,6,5: 84:[18, 119] Operation: 90+29=119\nMoving to Node #0,6,5\nCurrent State: 84:[18, 119], Operations: ['96-78=18', '90+29=119']\nExploring Operation: 119-18=101, Resulting Numbers: [101]\n101,84 unequal: No Solution\nMoving to Node #0,6,5\nCurrent State: 84:[18, 119], Operations: ['96-78=18', '90+29=119']\nExploring Operation: 18+119=137, Resulting Numbers: [137]\n137,84 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 84:[90, 29, 18], Operations: ['96-78=18']\nExploring Operation: 90/18=5, Resulting Numbers: [29, 5]\nGenerated Node #0,6,6: 84:[29, 5] Operation: 90/18=5\nMoving to Node #0,6,6\nCurrent State: 84:[29, 5], Operations: ['96-78=18', '90/18=5']\nExploring Operation: 29+5=34, Resulting Numbers: [34]\n34,84 unequal: No Solution\nMoving to Node #0,6,6\nCurrent State: 84:[29, 5], Operations: ['96-78=18', '90/18=5']\nExploring Operation: 29-5=24, Resulting Numbers: [24]\n24,84 unequal: No Solution\nMoving to Node #0,6,6\nCurrent State: 84:[29, 5], Operations: ['96-78=18', '90/18=5']\nExploring Operation: 29*5=145, Resulting Numbers: [145]\n145,84 unequal: No Solution\nMoving to Node #0\nCurrent State: 84:[78, 90, 96, 29], Operations: []\nExploring Operation: 90-78=12, Resulting Numbers: [96, 29, 12]\nGenerated Node #0,7: 84:[96, 29, 12] Operation: 90-78=12\nMoving to Node #0,7\nCurrent State: 84:[96, 29, 12], Operations: ['90-78=12']\nExploring Operation: 96-12=84, Resulting Numbers: [29, 84]\nGenerated Node #0,7,0: 84:[29, 84] Operation: 96-12=84\nMoving to Node #0,7,0\nCurrent State: 84:[29, 84], Operations: ['90-78=12', '96-12=84']\nExploring Operation: 29+84=113, Resulting Numbers: [113]\n113,84 unequal: No Solution\nMoving to Node #0,7,0\nCurrent State: 84:[29, 84], Operations: ['90-78=12', '96-12=84']\nExploring Operation: 84-29=55, Resulting Numbers: [55]\n55,84 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 84:[96, 29, 12], Operations: ['90-78=12']\nExploring Operation: 29+12=41, Resulting Numbers: [96, 41]\nGenerated Node #0,7,1: 84:[96, 41] Operation: 29+12=41\nMoving to Node #0,7,1\nCurrent State: 84:[96, 41], Operations: ['90-78=12', '29+12=41']\nExploring Operation: 96-41=55, Resulting Numbers: [55]\n55,84 unequal: No Solution\nMoving to Node #0,7,1\nCurrent State: 84:[96, 41], Operations: ['90-78=12', '29+12=41']\nExploring Operation: 96+41=137, Resulting Numbers: [137]\n137,84 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 84:[96, 29, 12], Operations: ['90-78=12']\nExploring Operation: 96+12=108, Resulting Numbers: [29, 108]\nGenerated Node #0,7,2: 84:[29, 108] Operation: 96+12=108\nMoving to Node #0,7,2\nCurrent State: 84:[29, 108], Operations: ['90-78=12', '96+12=108']\nExploring Operation: 108-29=79, Resulting Numbers: [79]\n79,84 unequal: No Solution\nMoving to Node #0,7,2\nCurrent State: 84:[29, 108], Operations: ['90-78=12', '96+12=108']\nExploring Operation: 29+108=137, Resulting Numbers: [137]\n137,84 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 84:[96, 29, 12], Operations: ['90-78=12']\nExploring Operation: 29-12=17, Resulting Numbers: [96, 17]\nGenerated Node #0,7,3: 84:[96, 17] Operation: 29-12=17\nMoving to Node #0,7,3\nCurrent State: 84:[96, 17], Operations: ['90-78=12', '29-12=17']\nExploring Operation: 96-17=79, Resulting Numbers: [79]\n79,84 unequal: No Solution\nMoving to Node #0,7,3\nCurrent State: 84:[96, 17], Operations: ['90-78=12', '29-12=17']\nExploring Operation: 96+17=113, Resulting Numbers: [113]\n113,84 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 84:[96, 29, 12], Operations: ['90-78=12']\nExploring Operation: 96-29=67, Resulting Numbers: [12, 67]\nGenerated Node #0,7,4: 84:[12, 67] Operation: 96-29=67\nMoving to Node #0,7,4\nCurrent State: 84:[12, 67], Operations: ['90-78=12', '96-29=67']\nExploring Operation: 12+67=79, Resulting Numbers: [79]\n79,84 unequal: No Solution\nMoving to Node #0,7,4\nCurrent State: 84:[12, 67], Operations: ['90-78=12', '96-29=67']\nExploring Operation: 67-12=55, Resulting Numbers: [55]\n55,84 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 84:[96, 29, 12], Operations: ['90-78=12']\nExploring Operation: 96+29=125, Resulting Numbers: [12, 125]\nGenerated Node #0,7,5: 84:[12, 125] Operation: 96+29=125\nMoving to Node #0,7,5\nCurrent State: 84:[12, 125], Operations: ['90-78=12', '96+29=125']\nExploring Operation: 125-12=113, Resulting Numbers: [113]\n113,84 unequal: No Solution\nMoving to Node #0,7,5\nCurrent State: 84:[12, 125], Operations: ['90-78=12', '96+29=125']\nExploring Operation: 12+125=137, Resulting Numbers: [137]\n137,84 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 84:[96, 29, 12], Operations: ['90-78=12']\nExploring Operation: 96/12=8, Resulting Numbers: [29, 8]\nGenerated Node #0,7,6: 84:[29, 8] Operation: 96/12=8\nMoving to Node #0,7,6\nCurrent State: 84:[29, 8], Operations: ['90-78=12', '96/12=8']\nExploring Operation: 29+8=37, Resulting Numbers: [37]\n37,84 unequal: No Solution\nMoving to Node #0,7,6\nCurrent State: 84:[29, 8], Operations: ['90-78=12', '96/12=8']\nExploring Operation: 29-8=21, Resulting Numbers: [21]\n21,84 unequal: No Solution\nMoving to Node #0\nCurrent State: 84:[78, 90, 96, 29], Operations: []\nExploring Operation: 96-90=6, Resulting Numbers: [78, 29, 6]\nGenerated Node #0,8: 84:[78, 29, 6] Operation: 96-90=6\nMoving to Node #0,8\nCurrent State: 84:[78, 29, 6], Operations: ['96-90=6']\nExploring Operation: 78+6=84, Resulting Numbers: [29, 84]\nGenerated Node #0,8,0: 84:[29, 84] Operation: 78+6=84\nMoving to Node #0,8,0\nCurrent State: 84:[29, 84], Operations: ['96-90=6', '78+6=84']\nExploring Operation: 29+84=113, Resulting Numbers: [113]\n113,84 unequal: No Solution\nMoving to Node #0,8,0\nCurrent State: 84:[29, 84], Operations: ['96-90=6', '78+6=84']\nExploring Operation: 84-29=55, Resulting Numbers: [55]\n55,84 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 84:[78, 29, 6], Operations: ['96-90=6']\nExploring Operation: 29+6=35, Resulting Numbers: [78, 35]\nGenerated Node #0,8,1: 84:[78, 35] Operation: 29+6=35\nMoving to Node #0,8,1\nCurrent State: 84:[78, 35], Operations: ['96-90=6', '29+6=35']\nExploring Operation: 78+35=113, Resulting Numbers: [113]\n113,84 unequal: No Solution\nMoving to Node #0,8,1\nCurrent State: 84:[78, 35], Operations: ['96-90=6', '29+6=35']\nExploring Operation: 78-35=43, Resulting Numbers: [43]\n43,84 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 84:[78, 29, 6], Operations: ['96-90=6']\nExploring Operation: 78-6=72, Resulting Numbers: [29, 72]\nGenerated Node #0,8,2: 84:[29, 72] Operation: 78-6=72\nMoving to Node #0,8,2\nCurrent State: 84:[29, 72], Operations: ['96-90=6', '78-6=72']\nExploring Operation: 29+72=101, Resulting Numbers: [101]\n101,84 unequal: No Solution\nMoving to Node #0,8,2\nCurrent State: 84:[29, 72], Operations: ['96-90=6', '78-6=72']\nExploring Operation: 72-29=43, Resulting Numbers: [43]\n43,84 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 84:[78, 29, 6], Operations: ['96-90=6']\nExploring Operation: 29-6=23, Resulting Numbers: [78, 23]\nGenerated Node #0,8,3: 84:[78, 23] Operation: 29-6=23\nMoving to Node #0,8,3\nCurrent State: 84:[78, 23], Operations: ['96-90=6', '29-6=23']\nExploring Operation: 78+23=101, Resulting Numbers: [101]\n101,84 unequal: No Solution\nMoving to Node #0,8,3\nCurrent State: 84:[78, 23], Operations: ['96-90=6', '29-6=23']\nExploring Operation: 78-23=55, Resulting Numbers: [55]\n55,84 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 84:[78, 29, 6], Operations: ['96-90=6']\nExploring Operation: 29*6=174, Resulting Numbers: [78, 174]\nGenerated Node #0,8,4: 84:[78, 174] Operation: 29*6=174\nMoving to Node #0,8,4\nCurrent State: 84:[78, 174], Operations: ['96-90=6', '29*6=174']\nExploring Operation: 174-78=96, Resulting Numbers: [96]\n96,84 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 84:[78, 29, 6], Operations: ['96-90=6']\nExploring Operation: 78+29=107, Resulting Numbers: [6, 107]\nGenerated Node #0,8,5: 84:[6, 107] Operation: 78+29=107\nMoving to Node #0,8,5\nCurrent State: 84:[6, 107], Operations: ['96-90=6', '78+29=107']\nExploring Operation: 107-6=101, Resulting Numbers: [101]\n101,84 unequal: No Solution\nMoving to Node #0,8,5\nCurrent State: 84:[6, 107], Operations: ['96-90=6', '78+29=107']\nExploring Operation: 6+107=113, Resulting Numbers: [113]\n113,84 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 84:[78, 29, 6], Operations: ['96-90=6']\nExploring Operation: 78-29=49, Resulting Numbers: [6, 49]\nGenerated Node #0,8,6: 84:[6, 49] Operation: 78-29=49\nMoving to Node #0,8,6\nCurrent State: 84:[6, 49], Operations: ['96-90=6', '78-29=49']\nExploring Operation: 6+49=55, Resulting Numbers: [55]\n55,84 unequal: No Solution\nMoving to Node #0,8,6\nCurrent State: 84:[6, 49], Operations: ['96-90=6', '78-29=49']\nExploring Operation: 49-6=43, Resulting Numbers: [43]\n43,84 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 84:[78, 29, 6], Operations: ['96-90=6']\nExploring Operation: 78/6=13, Resulting Numbers: [29, 13]\nGenerated Node #0,8,7: 84:[29, 13] Operation: 78/6=13\nMoving to Node #0,8,7\nCurrent State: 84:[29, 13], Operations: ['96-90=6', '78/6=13']\nExploring Operation: 29+13=42, Resulting Numbers: [42]\n42,84 unequal: No Solution\nMoving to Node #0,8,7\nCurrent State: 84:[29, 13], Operations: ['96-90=6', '78/6=13']\nExploring Operation: 29-13=16, Resulting Numbers: [16]\n16,84 unequal: No Solution\nMoving to Node #0\nCurrent State: 84:[78, 90, 96, 29], Operations: []\nExploring Operation: 78+90=168, Resulting Numbers: [96, 29, 168]\nGenerated Node #0,9: 84:[96, 29, 168] Operation: 78+90=168\nMoving to Node #0,9\nCurrent State: 84:[96, 29, 168], Operations: ['78+90=168']\nExploring Operation: 168-96=72, Resulting Numbers: [29, 72]\nGenerated Node #0,9,0: 84:[29, 72] Operation: 168-96=72\nMoving to Node #0,9,0\nCurrent State: 84:[29, 72], Operations: ['78+90=168', '168-96=72']\nExploring Operation: 29+72=101, Resulting Numbers: [101]\n101,84 unequal: No Solution\nMoving to Node #0,9,0\nCurrent State: 84:[29, 72], Operations: ['78+90=168', '168-96=72']\nExploring Operation: 72-29=43, Resulting Numbers: [43]\n43,84 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 84:[96, 29, 168], Operations: ['78+90=168']\nExploring Operation: 168-29=139, Resulting Numbers: [96, 139]\nGenerated Node #0,9,1: 84:[96, 139] Operation: 168-29=139\nMoving to Node #0,9,1\nCurrent State: 84:[96, 139], Operations: ['78+90=168', '168-29=139']\nExploring Operation: 139-96=43, Resulting Numbers: [43]\n43,84 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 84:[96, 29, 168], Operations: ['78+90=168']\nExploring Operation: 96-29=67, Resulting Numbers: [168, 67]\nGenerated Node #0,9,2: 84:[168, 67] Operation: 96-29=67\nMoving to Node #0,9,2\nCurrent State: 84:[168, 67], Operations: ['78+90=168', '96-29=67']\nExploring Operation: 168-67=101, Resulting Numbers: [101]\n101,84 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 84:[96, 29, 168], Operations: ['78+90=168']\nExploring Operation: 96+29=125, Resulting Numbers: [168, 125]\nGenerated Node #0,9,3: 84:[168, 125] Operation: 96+29=125\nMoving to Node #0,9,3\nCurrent State: 84:[168, 125], Operations: ['78+90=168', '96+29=125']\nExploring Operation: 168-125=43, Resulting Numbers: [43]\n43,84 unequal: No Solution\nMoving to Node #0,9\nCurrent State: 84:[96, 29, 168], Operations: ['78+90=168']\nExploring Operation: 29+168=197, Resulting Numbers: [96, 197]\nGenerated Node #0,9,4: 84:[96, 197] Operation: 29+168=197\nMoving to Node #0,9,4\nCurrent State: 84:[96, 197], Operations: ['78+90=168', '29+168=197']\nExploring Operation: 197-96=101, Resulting Numbers: [101]\n101,84 unequal: No Solution\nMoving to Node #0\nCurrent State: 84:[78, 90, 96, 29], Operations: []\nExploring Operation: 78+96=174, Resulting Numbers: [90, 29, 174]\nGenerated Node #0,10: 84:[90, 29, 174] Operation: 78+96=174\nMoving to Node #0,10\nCurrent State: 84:[90, 29, 174], Operations: ['78+96=174']\nExploring Operation: 174-90=84, Resulting Numbers: [29, 84]\nGenerated Node #0,10,0: 84:[29, 84] Operation: 174-90=84\nMoving to Node #0,10,0\nCurrent State: 84:[29, 84], Operations: ['78+96=174', '174-90=84']\nExploring Operation: 29+84=113, Resulting Numbers: [113]\n113,84 unequal: No Solution\nMoving to Node #0,10,0\nCurrent State: 84:[29, 84], Operations: ['78+96=174', '174-90=84']\nExploring Operation: 84-29=55, Resulting Numbers: [55]\n55,84 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 84:[90, 29, 174], Operations: ['78+96=174']\nExploring Operation: 174-29=145, Resulting Numbers: [90, 145]\nGenerated Node #0,10,1: 84:[90, 145] Operation: 174-29=145\nMoving to Node #0,10,1\nCurrent State: 84:[90, 145], Operations: ['78+96=174', '174-29=145']\nExploring Operation: 145-90=55, Resulting Numbers: [55]\n55,84 unequal: No Solution\nMoving to Node #0,10\nCurrent State: 84:[90, 29, 174], Operations: ['78+96=174']\nExploring Operation: 174/29=6, Resulting Numbers: [90, 6]\nGenerated Node #0,10,2: 84:[90, 6] Operation: 174/29=6\nMoving to Node #0,10,2\nCurrent State: 84:[90, 6], Operations: ['78+96=174', '174/29=6']\nExploring Operation: 90-6=84, Resulting Numbers: [84]\n84,84 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [24, 76, 6, 64] using the four basic arithmetic operations (+, -, *, /) to reach 72.",
"role": "user"
},
{
"content": "Current State: 72:[24, 76, 6, 64], Operations: []\nExploring Operation: 24+6=30, Resulting Numbers: [76, 64, 30]\nGenerated Node #0,0: 72:[76, 64, 30] Operation: 24+6=30\nMoving to Node #0,0\nCurrent State: 72:[76, 64, 30], Operations: ['24+6=30']\nExploring Operation: 64+30=94, Resulting Numbers: [76, 94]\nGenerated Node #0,0,0: 72:[76, 94] Operation: 64+30=94\nMoving to Node #0,0,0\nCurrent State: 72:[76, 94], Operations: ['24+6=30', '64+30=94']\nExploring Operation: 94-76=18, Resulting Numbers: [18]\n18,72 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 72:[76, 64, 30], Operations: ['24+6=30']\nExploring Operation: 76-30=46, Resulting Numbers: [64, 46]\nGenerated Node #0,0,1: 72:[64, 46] Operation: 76-30=46\nMoving to Node #0,0,1\nCurrent State: 72:[64, 46], Operations: ['24+6=30', '76-30=46']\nExploring Operation: 64+46=110, Resulting Numbers: [110]\n110,72 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 72:[64, 46], Operations: ['24+6=30', '76-30=46']\nExploring Operation: 64-46=18, Resulting Numbers: [18]\n18,72 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 72:[76, 64, 30], Operations: ['24+6=30']\nExploring Operation: 76+30=106, Resulting Numbers: [64, 106]\nGenerated Node #0,0,2: 72:[64, 106] Operation: 76+30=106\nMoving to Node #0,0,2\nCurrent State: 72:[64, 106], Operations: ['24+6=30', '76+30=106']\nExploring Operation: 106-64=42, Resulting Numbers: [42]\n42,72 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 72:[76, 64, 30], Operations: ['24+6=30']\nExploring Operation: 64-30=34, Resulting Numbers: [76, 34]\nGenerated Node #0,0,3: 72:[76, 34] Operation: 64-30=34\nMoving to Node #0,0,3\nCurrent State: 72:[76, 34], Operations: ['24+6=30', '64-30=34']\nExploring Operation: 76-34=42, Resulting Numbers: [42]\n42,72 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 72:[76, 34], Operations: ['24+6=30', '64-30=34']\nExploring Operation: 76+34=110, Resulting Numbers: [110]\n110,72 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 72:[76, 64, 30], Operations: ['24+6=30']\nExploring Operation: 76-64=12, Resulting Numbers: [30, 12]\nGenerated Node #0,0,4: 72:[30, 12] Operation: 76-64=12\nMoving to Node #0,0,4\nCurrent State: 72:[30, 12], Operations: ['24+6=30', '76-64=12']\nExploring Operation: 30+12=42, Resulting Numbers: [42]\n42,72 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 72:[30, 12], Operations: ['24+6=30', '76-64=12']\nExploring Operation: 30-12=18, Resulting Numbers: [18]\n18,72 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 72:[76, 64, 30], Operations: ['24+6=30']\nExploring Operation: 76+64=140, Resulting Numbers: [30, 140]\nGenerated Node #0,0,5: 72:[30, 140] Operation: 76+64=140\nMoving to Node #0,0,5\nCurrent State: 72:[30, 140], Operations: ['24+6=30', '76+64=140']\nExploring Operation: 140-30=110, Resulting Numbers: [110]\n110,72 unequal: No Solution\nMoving to Node #0\nCurrent State: 72:[24, 76, 6, 64], Operations: []\nExploring Operation: 6+64=70, Resulting Numbers: [24, 76, 70]\nGenerated Node #0,1: 72:[24, 76, 70] Operation: 6+64=70\nMoving to Node #0,1\nCurrent State: 72:[24, 76, 70], Operations: ['6+64=70']\nExploring Operation: 76-24=52, Resulting Numbers: [70, 52]\nGenerated Node #0,1,0: 72:[70, 52] Operation: 76-24=52\nMoving to Node #0,1,0\nCurrent State: 72:[70, 52], Operations: ['6+64=70', '76-24=52']\nExploring Operation: 70+52=122, Resulting Numbers: [122]\n122,72 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 72:[70, 52], Operations: ['6+64=70', '76-24=52']\nExploring Operation: 70-52=18, Resulting Numbers: [18]\n18,72 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 72:[24, 76, 70], Operations: ['6+64=70']\nExploring Operation: 24+70=94, Resulting Numbers: [76, 94]\nGenerated Node #0,1,1: 72:[76, 94] Operation: 24+70=94\nMoving to Node #0,1,1\nCurrent State: 72:[76, 94], Operations: ['6+64=70', '24+70=94']\nExploring Operation: 94-76=18, Resulting Numbers: [18]\n18,72 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 72:[24, 76, 70], Operations: ['6+64=70']\nExploring Operation: 24+76=100, Resulting Numbers: [70, 100]\nGenerated Node #0,1,2: 72:[70, 100] Operation: 24+76=100\nMoving to Node #0,1,2\nCurrent State: 72:[70, 100], Operations: ['6+64=70', '24+76=100']\nExploring Operation: 100-70=30, Resulting Numbers: [30]\n30,72 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 72:[24, 76, 70], Operations: ['6+64=70']\nExploring Operation: 70-24=46, Resulting Numbers: [76, 46]\nGenerated Node #0,1,3: 72:[76, 46] Operation: 70-24=46\nMoving to Node #0,1,3\nCurrent State: 72:[76, 46], Operations: ['6+64=70', '70-24=46']\nExploring Operation: 76-46=30, Resulting Numbers: [30]\n30,72 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 72:[76, 46], Operations: ['6+64=70', '70-24=46']\nExploring Operation: 76+46=122, Resulting Numbers: [122]\n122,72 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 72:[24, 76, 70], Operations: ['6+64=70']\nExploring Operation: 76-70=6, Resulting Numbers: [24, 6]\nGenerated Node #0,1,4: 72:[24, 6] Operation: 76-70=6\nMoving to Node #0,1,4\nCurrent State: 72:[24, 6], Operations: ['6+64=70', '76-70=6']\nExploring Operation: 24+6=30, Resulting Numbers: [30]\n30,72 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 72:[24, 6], Operations: ['6+64=70', '76-70=6']\nExploring Operation: 24-6=18, Resulting Numbers: [18]\n18,72 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 72:[24, 6], Operations: ['6+64=70', '76-70=6']\nExploring Operation: 24/6=4, Resulting Numbers: [4]\n4,72 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 72:[24, 6], Operations: ['6+64=70', '76-70=6']\nExploring Operation: 24*6=144, Resulting Numbers: [144]\n144,72 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 72:[24, 76, 70], Operations: ['6+64=70']\nExploring Operation: 76+70=146, Resulting Numbers: [24, 146]\nGenerated Node #0,1,5: 72:[24, 146] Operation: 76+70=146\nMoving to Node #0,1,5\nCurrent State: 72:[24, 146], Operations: ['6+64=70', '76+70=146']\nExploring Operation: 146-24=122, Resulting Numbers: [122]\n122,72 unequal: No Solution\nMoving to Node #0\nCurrent State: 72:[24, 76, 6, 64], Operations: []\nExploring Operation: 76-6=70, Resulting Numbers: [24, 64, 70]\nGenerated Node #0,2: 72:[24, 64, 70] Operation: 76-6=70\nMoving to Node #0,2\nCurrent State: 72:[24, 64, 70], Operations: ['76-6=70']\nExploring Operation: 24+64=88, Resulting Numbers: [70, 88]\nGenerated Node #0,2,0: 72:[70, 88] Operation: 24+64=88\nMoving to Node #0,2,0\nCurrent State: 72:[70, 88], Operations: ['76-6=70', '24+64=88']\nExploring Operation: 88-70=18, Resulting Numbers: [18]\n18,72 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 72:[24, 64, 70], Operations: ['76-6=70']\nExploring Operation: 24+70=94, Resulting Numbers: [64, 94]\nGenerated Node #0,2,1: 72:[64, 94] Operation: 24+70=94\nMoving to Node #0,2,1\nCurrent State: 72:[64, 94], Operations: ['76-6=70', '24+70=94']\nExploring Operation: 94-64=30, Resulting Numbers: [30]\n30,72 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 72:[24, 64, 70], Operations: ['76-6=70']\nExploring Operation: 64-24=40, Resulting Numbers: [70, 40]\nGenerated Node #0,2,2: 72:[70, 40] Operation: 64-24=40\nMoving to Node #0,2,2\nCurrent State: 72:[70, 40], Operations: ['76-6=70', '64-24=40']\nExploring Operation: 70+40=110, Resulting Numbers: [110]\n110,72 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 72:[70, 40], Operations: ['76-6=70', '64-24=40']\nExploring Operation: 70-40=30, Resulting Numbers: [30]\n30,72 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 72:[24, 64, 70], Operations: ['76-6=70']\nExploring Operation: 70-24=46, Resulting Numbers: [64, 46]\nGenerated Node #0,2,3: 72:[64, 46] Operation: 70-24=46\nMoving to Node #0,2,3\nCurrent State: 72:[64, 46], Operations: ['76-6=70', '70-24=46']\nExploring Operation: 64+46=110, Resulting Numbers: [110]\n110,72 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 72:[64, 46], Operations: ['76-6=70', '70-24=46']\nExploring Operation: 64-46=18, Resulting Numbers: [18]\n18,72 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 72:[24, 64, 70], Operations: ['76-6=70']\nExploring Operation: 64+70=134, Resulting Numbers: [24, 134]\nGenerated Node #0,2,4: 72:[24, 134] Operation: 64+70=134\nMoving to Node #0,2,4\nCurrent State: 72:[24, 134], Operations: ['76-6=70', '64+70=134']\nExploring Operation: 134-24=110, Resulting Numbers: [110]\n110,72 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 72:[24, 64, 70], Operations: ['76-6=70']\nExploring Operation: 70-64=6, Resulting Numbers: [24, 6]\nGenerated Node #0,2,5: 72:[24, 6] Operation: 70-64=6\nMoving to Node #0,2,5\nCurrent State: 72:[24, 6], Operations: ['76-6=70', '70-64=6']\nExploring Operation: 24+6=30, Resulting Numbers: [30]\n30,72 unequal: No Solution\nMoving to Node #0,2,5\nCurrent State: 72:[24, 6], Operations: ['76-6=70', '70-64=6']\nExploring Operation: 24-6=18, Resulting Numbers: [18]\n18,72 unequal: No Solution\nMoving to Node #0,2,5\nCurrent State: 72:[24, 6], Operations: ['76-6=70', '70-64=6']\nExploring Operation: 24/6=4, Resulting Numbers: [4]\n4,72 unequal: No Solution\nMoving to Node #0,2,5\nCurrent State: 72:[24, 6], Operations: ['76-6=70', '70-64=6']\nExploring Operation: 24*6=144, Resulting Numbers: [144]\n144,72 unequal: No Solution\nMoving to Node #0\nCurrent State: 72:[24, 76, 6, 64], Operations: []\nExploring Operation: 24-6=18, Resulting Numbers: [76, 64, 18]\nGenerated Node #0,3: 72:[76, 64, 18] Operation: 24-6=18\nMoving to Node #0,3\nCurrent State: 72:[76, 64, 18], Operations: ['24-6=18']\nExploring Operation: 64+18=82, Resulting Numbers: [76, 82]\nGenerated Node #0,3,0: 72:[76, 82] Operation: 64+18=82\nMoving to Node #0,3,0\nCurrent State: 72:[76, 82], Operations: ['24-6=18', '64+18=82']\nExploring Operation: 82-76=6, Resulting Numbers: [6]\n6,72 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 72:[76, 64, 18], Operations: ['24-6=18']\nExploring Operation: 76-18=58, Resulting Numbers: [64, 58]\nGenerated Node #0,3,1: 72:[64, 58] Operation: 76-18=58\nMoving to Node #0,3,1\nCurrent State: 72:[64, 58], Operations: ['24-6=18', '76-18=58']\nExploring Operation: 64+58=122, Resulting Numbers: [122]\n122,72 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 72:[64, 58], Operations: ['24-6=18', '76-18=58']\nExploring Operation: 64-58=6, Resulting Numbers: [6]\n6,72 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 72:[76, 64, 18], Operations: ['24-6=18']\nExploring Operation: 76+18=94, Resulting Numbers: [64, 94]\nGenerated Node #0,3,2: 72:[64, 94] Operation: 76+18=94\nMoving to Node #0,3,2\nCurrent State: 72:[64, 94], Operations: ['24-6=18', '76+18=94']\nExploring Operation: 94-64=30, Resulting Numbers: [30]\n30,72 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 72:[76, 64, 18], Operations: ['24-6=18']\nExploring Operation: 64-18=46, Resulting Numbers: [76, 46]\nGenerated Node #0,3,3: 72:[76, 46] Operation: 64-18=46\nMoving to Node #0,3,3\nCurrent State: 72:[76, 46], Operations: ['24-6=18', '64-18=46']\nExploring Operation: 76-46=30, Resulting Numbers: [30]\n30,72 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 72:[76, 46], Operations: ['24-6=18', '64-18=46']\nExploring Operation: 76+46=122, Resulting Numbers: [122]\n122,72 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 72:[76, 64, 18], Operations: ['24-6=18']\nExploring Operation: 76-64=12, Resulting Numbers: [18, 12]\nGenerated Node #0,3,4: 72:[18, 12] Operation: 76-64=12\nMoving to Node #0,3,4\nCurrent State: 72:[18, 12], Operations: ['24-6=18', '76-64=12']\nExploring Operation: 18+12=30, Resulting Numbers: [30]\n30,72 unequal: No Solution\nMoving to Node #0,3,4\nCurrent State: 72:[18, 12], Operations: ['24-6=18', '76-64=12']\nExploring Operation: 18-12=6, Resulting Numbers: [6]\n6,72 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 72:[76, 64, 18], Operations: ['24-6=18']\nExploring Operation: 76+64=140, Resulting Numbers: [18, 140]\nGenerated Node #0,3,5: 72:[18, 140] Operation: 76+64=140\nMoving to Node #0,3,5\nCurrent State: 72:[18, 140], Operations: ['24-6=18', '76+64=140']\nExploring Operation: 140-18=122, Resulting Numbers: [122]\n122,72 unequal: No Solution\nMoving to Node #0\nCurrent State: 72:[24, 76, 6, 64], Operations: []\nExploring Operation: 76+6=82, Resulting Numbers: [24, 64, 82]\nGenerated Node #0,4: 72:[24, 64, 82] Operation: 76+6=82\nMoving to Node #0,4\nCurrent State: 72:[24, 64, 82], Operations: ['76+6=82']\nExploring Operation: 82-24=58, Resulting Numbers: [64, 58]\nGenerated Node #0,4,0: 72:[64, 58] Operation: 82-24=58\nMoving to Node #0,4,0\nCurrent State: 72:[64, 58], Operations: ['76+6=82', '82-24=58']\nExploring Operation: 64+58=122, Resulting Numbers: [122]\n122,72 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 72:[64, 58], Operations: ['76+6=82', '82-24=58']\nExploring Operation: 64-58=6, Resulting Numbers: [6]\n6,72 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 72:[24, 64, 82], Operations: ['76+6=82']\nExploring Operation: 24+64=88, Resulting Numbers: [82, 88]\nGenerated Node #0,4,1: 72:[82, 88] Operation: 24+64=88\nMoving to Node #0,4,1\nCurrent State: 72:[82, 88], Operations: ['76+6=82', '24+64=88']\nExploring Operation: 88-82=6, Resulting Numbers: [6]\n6,72 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 72:[24, 64, 82], Operations: ['76+6=82']\nExploring Operation: 64-24=40, Resulting Numbers: [82, 40]\nGenerated Node #0,4,2: 72:[82, 40] Operation: 64-24=40\nMoving to Node #0,4,2\nCurrent State: 72:[82, 40], Operations: ['76+6=82', '64-24=40']\nExploring Operation: 82-40=42, Resulting Numbers: [42]\n42,72 unequal: No Solution\nMoving to Node #0,4,2\nCurrent State: 72:[82, 40], Operations: ['76+6=82', '64-24=40']\nExploring Operation: 82+40=122, Resulting Numbers: [122]\n122,72 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 72:[24, 64, 82], Operations: ['76+6=82']\nExploring Operation: 24+82=106, Resulting Numbers: [64, 106]\nGenerated Node #0,4,3: 72:[64, 106] Operation: 24+82=106\nMoving to Node #0,4,3\nCurrent State: 72:[64, 106], Operations: ['76+6=82', '24+82=106']\nExploring Operation: 106-64=42, Resulting Numbers: [42]\n42,72 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 72:[24, 64, 82], Operations: ['76+6=82']\nExploring Operation: 82-64=18, Resulting Numbers: [24, 18]\nGenerated Node #0,4,4: 72:[24, 18] Operation: 82-64=18\nMoving to Node #0,4,4\nCurrent State: 72:[24, 18], Operations: ['76+6=82', '82-64=18']\nExploring Operation: 24+18=42, Resulting Numbers: [42]\n42,72 unequal: No Solution\nMoving to Node #0,4,4\nCurrent State: 72:[24, 18], Operations: ['76+6=82', '82-64=18']\nExploring Operation: 24-18=6, Resulting Numbers: [6]\n6,72 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 72:[24, 64, 82], Operations: ['76+6=82']\nExploring Operation: 64+82=146, Resulting Numbers: [24, 146]\nGenerated Node #0,4,5: 72:[24, 146] Operation: 64+82=146\nMoving to Node #0,4,5\nCurrent State: 72:[24, 146], Operations: ['76+6=82', '64+82=146']\nExploring Operation: 146-24=122, Resulting Numbers: [122]\n122,72 unequal: No Solution\nMoving to Node #0\nCurrent State: 72:[24, 76, 6, 64], Operations: []\nExploring Operation: 64-6=58, Resulting Numbers: [24, 76, 58]\nGenerated Node #0,5: 72:[24, 76, 58] Operation: 64-6=58\nMoving to Node #0,5\nCurrent State: 72:[24, 76, 58], Operations: ['64-6=58']\nExploring Operation: 24+58=82, Resulting Numbers: [76, 82]\nGenerated Node #0,5,0: 72:[76, 82] Operation: 24+58=82\nMoving to Node #0,5,0\nCurrent State: 72:[76, 82], Operations: ['64-6=58', '24+58=82']\nExploring Operation: 82-76=6, Resulting Numbers: [6]\n6,72 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 72:[24, 76, 58], Operations: ['64-6=58']\nExploring Operation: 76-24=52, Resulting Numbers: [58, 52]\nGenerated Node #0,5,1: 72:[58, 52] Operation: 76-24=52\nMoving to Node #0,5,1\nCurrent State: 72:[58, 52], Operations: ['64-6=58', '76-24=52']\nExploring Operation: 58+52=110, Resulting Numbers: [110]\n110,72 unequal: No Solution\nMoving to Node #0,5,1\nCurrent State: 72:[58, 52], Operations: ['64-6=58', '76-24=52']\nExploring Operation: 58-52=6, Resulting Numbers: [6]\n6,72 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 72:[24, 76, 58], Operations: ['64-6=58']\nExploring Operation: 24+76=100, Resulting Numbers: [58, 100]\nGenerated Node #0,5,2: 72:[58, 100] Operation: 24+76=100\nMoving to Node #0,5,2\nCurrent State: 72:[58, 100], Operations: ['64-6=58', '24+76=100']\nExploring Operation: 100-58=42, Resulting Numbers: [42]\n42,72 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 72:[24, 76, 58], Operations: ['64-6=58']\nExploring Operation: 58-24=34, Resulting Numbers: [76, 34]\nGenerated Node #0,5,3: 72:[76, 34] Operation: 58-24=34\nMoving to Node #0,5,3\nCurrent State: 72:[76, 34], Operations: ['64-6=58', '58-24=34']\nExploring Operation: 76-34=42, Resulting Numbers: [42]\n42,72 unequal: No Solution\nMoving to Node #0,5,3\nCurrent State: 72:[76, 34], Operations: ['64-6=58', '58-24=34']\nExploring Operation: 76+34=110, Resulting Numbers: [110]\n110,72 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 72:[24, 76, 58], Operations: ['64-6=58']\nExploring Operation: 76-58=18, Resulting Numbers: [24, 18]\nGenerated Node #0,5,4: 72:[24, 18] Operation: 76-58=18\nMoving to Node #0,5,4\nCurrent State: 72:[24, 18], Operations: ['64-6=58', '76-58=18']\nExploring Operation: 24+18=42, Resulting Numbers: [42]\n42,72 unequal: No Solution\nMoving to Node #0,5,4\nCurrent State: 72:[24, 18], Operations: ['64-6=58', '76-58=18']\nExploring Operation: 24-18=6, Resulting Numbers: [6]\n6,72 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 72:[24, 76, 58], Operations: ['64-6=58']\nExploring Operation: 76+58=134, Resulting Numbers: [24, 134]\nGenerated Node #0,5,5: 72:[24, 134] Operation: 76+58=134\nMoving to Node #0,5,5\nCurrent State: 72:[24, 134], Operations: ['64-6=58', '76+58=134']\nExploring Operation: 134-24=110, Resulting Numbers: [110]\n110,72 unequal: No Solution\nMoving to Node #0\nCurrent State: 72:[24, 76, 6, 64], Operations: []\nExploring Operation: 24/6=4, Resulting Numbers: [76, 64, 4]\nGenerated Node #0,6: 72:[76, 64, 4] Operation: 24/6=4\nMoving to Node #0,6\nCurrent State: 72:[76, 64, 4], Operations: ['24/6=4']\nExploring Operation: 76-4=72, Resulting Numbers: [64, 72]\nGenerated Node #0,6,0: 72:[64, 72] Operation: 76-4=72\nMoving to Node #0,6,0\nCurrent State: 72:[64, 72], Operations: ['24/6=4', '76-4=72']\nExploring Operation: 64+72=136, Resulting Numbers: [136]\n136,72 unequal: No Solution\nMoving to Node #0,6,0\nCurrent State: 72:[64, 72], Operations: ['24/6=4', '76-4=72']\nExploring Operation: 72-64=8, Resulting Numbers: [8]\n8,72 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 72:[76, 64, 4], Operations: ['24/6=4']\nExploring Operation: 64+4=68, Resulting Numbers: [76, 68]\nGenerated Node #0,6,1: 72:[76, 68] Operation: 64+4=68\nMoving to Node #0,6,1\nCurrent State: 72:[76, 68], Operations: ['24/6=4', '64+4=68']\nExploring Operation: 76-68=8, Resulting Numbers: [8]\n8,72 unequal: No Solution\nMoving to Node #0,6,1\nCurrent State: 72:[76, 68], Operations: ['24/6=4', '64+4=68']\nExploring Operation: 76+68=144, Resulting Numbers: [144]\n144,72 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 72:[76, 64, 4], Operations: ['24/6=4']\nExploring Operation: 76+4=80, Resulting Numbers: [64, 80]\nGenerated Node #0,6,2: 72:[64, 80] Operation: 76+4=80\nMoving to Node #0,6,2\nCurrent State: 72:[64, 80], Operations: ['24/6=4', '76+4=80']\nExploring Operation: 80-64=16, Resulting Numbers: [16]\n16,72 unequal: No Solution\nMoving to Node #0,6,2\nCurrent State: 72:[64, 80], Operations: ['24/6=4', '76+4=80']\nExploring Operation: 64+80=144, Resulting Numbers: [144]\n144,72 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 72:[76, 64, 4], Operations: ['24/6=4']\nExploring Operation: 64-4=60, Resulting Numbers: [76, 60]\nGenerated Node #0,6,3: 72:[76, 60] Operation: 64-4=60\nMoving to Node #0,6,3\nCurrent State: 72:[76, 60], Operations: ['24/6=4', '64-4=60']\nExploring Operation: 76-60=16, Resulting Numbers: [16]\n16,72 unequal: No Solution\nMoving to Node #0,6,3\nCurrent State: 72:[76, 60], Operations: ['24/6=4', '64-4=60']\nExploring Operation: 76+60=136, Resulting Numbers: [136]\n136,72 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 72:[76, 64, 4], Operations: ['24/6=4']\nExploring Operation: 64/4=16, Resulting Numbers: [76, 16]\nGenerated Node #0,6,4: 72:[76, 16] Operation: 64/4=16\nMoving to Node #0,6,4\nCurrent State: 72:[76, 16], Operations: ['24/6=4', '64/4=16']\nExploring Operation: 76-16=60, Resulting Numbers: [60]\n60,72 unequal: No Solution\nMoving to Node #0,6,4\nCurrent State: 72:[76, 16], Operations: ['24/6=4', '64/4=16']\nExploring Operation: 76+16=92, Resulting Numbers: [92]\n92,72 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 72:[76, 64, 4], Operations: ['24/6=4']\nExploring Operation: 76/4=19, Resulting Numbers: [64, 19]\nGenerated Node #0,6,5: 72:[64, 19] Operation: 76/4=19\nMoving to Node #0,6,5\nCurrent State: 72:[64, 19], Operations: ['24/6=4', '76/4=19']\nExploring Operation: 64+19=83, Resulting Numbers: [83]\n83,72 unequal: No Solution\nMoving to Node #0,6,5\nCurrent State: 72:[64, 19], Operations: ['24/6=4', '76/4=19']\nExploring Operation: 64-19=45, Resulting Numbers: [45]\n45,72 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 72:[76, 64, 4], Operations: ['24/6=4']\nExploring Operation: 76-64=12, Resulting Numbers: [4, 12]\nGenerated Node #0,6,6: 72:[4, 12] Operation: 76-64=12\nMoving to Node #0,6,6\nCurrent State: 72:[4, 12], Operations: ['24/6=4', '76-64=12']\nExploring Operation: 4*12=48, Resulting Numbers: [48]\n48,72 unequal: No Solution\nMoving to Node #0,6,6\nCurrent State: 72:[4, 12], Operations: ['24/6=4', '76-64=12']\nExploring Operation: 4+12=16, Resulting Numbers: [16]\n16,72 unequal: No Solution\nMoving to Node #0,6,6\nCurrent State: 72:[4, 12], Operations: ['24/6=4', '76-64=12']\nExploring Operation: 12-4=8, Resulting Numbers: [8]\n8,72 unequal: No Solution\nMoving to Node #0,6,6\nCurrent State: 72:[4, 12], Operations: ['24/6=4', '76-64=12']\nExploring Operation: 12/4=3, Resulting Numbers: [3]\n3,72 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 72:[76, 64, 4], Operations: ['24/6=4']\nExploring Operation: 76+64=140, Resulting Numbers: [4, 140]\nGenerated Node #0,6,7: 72:[4, 140] Operation: 76+64=140\nMoving to Node #0,6,7\nCurrent State: 72:[4, 140], Operations: ['24/6=4', '76+64=140']\nExploring Operation: 140/4=35, Resulting Numbers: [35]\n35,72 unequal: No Solution\nMoving to Node #0,6,7\nCurrent State: 72:[4, 140], Operations: ['24/6=4', '76+64=140']\nExploring Operation: 140-4=136, Resulting Numbers: [136]\n136,72 unequal: No Solution\nMoving to Node #0,6,7\nCurrent State: 72:[4, 140], Operations: ['24/6=4', '76+64=140']\nExploring Operation: 4+140=144, Resulting Numbers: [144]\n144,72 unequal: No Solution\nMoving to Node #0\nCurrent State: 72:[24, 76, 6, 64], Operations: []\nExploring Operation: 24*6=144, Resulting Numbers: [76, 64, 144]\nGenerated Node #0,7: 72:[76, 64, 144] Operation: 24*6=144\nMoving to Node #0,7\nCurrent State: 72:[76, 64, 144], Operations: ['24*6=144']\nExploring Operation: 144-76=68, Resulting Numbers: [64, 68]\nGenerated Node #0,7,0: 72:[64, 68] Operation: 144-76=68\nMoving to Node #0,7,0\nCurrent State: 72:[64, 68], Operations: ['24*6=144', '144-76=68']\nExploring Operation: 64+68=132, Resulting Numbers: [132]\n132,72 unequal: No Solution\nMoving to Node #0,7,0\nCurrent State: 72:[64, 68], Operations: ['24*6=144', '144-76=68']\nExploring Operation: 68-64=4, Resulting Numbers: [4]\n4,72 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 72:[76, 64, 144], Operations: ['24*6=144']\nExploring Operation: 144-64=80, Resulting Numbers: [76, 80]\nGenerated Node #0,7,1: 72:[76, 80] Operation: 144-64=80\nMoving to Node #0,7,1\nCurrent State: 72:[76, 80], Operations: ['24*6=144', '144-64=80']\nExploring Operation: 80-76=4, Resulting Numbers: [4]\n4,72 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 72:[76, 64, 144], Operations: ['24*6=144']\nExploring Operation: 76-64=12, Resulting Numbers: [144, 12]\nGenerated Node #0,7,2: 72:[144, 12] Operation: 76-64=12\nMoving to Node #0,7,2\nCurrent State: 72:[144, 12], Operations: ['24*6=144', '76-64=12']\nExploring Operation: 144-12=132, Resulting Numbers: [132]\n132,72 unequal: No Solution\nMoving to Node #0,7,2\nCurrent State: 72:[144, 12], Operations: ['24*6=144', '76-64=12']\nExploring Operation: 144/12=12, Resulting Numbers: [12]\n12,72 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 72:[76, 64, 144], Operations: ['24*6=144']\nExploring Operation: 76+64=140, Resulting Numbers: [144, 140]\nGenerated Node #0,7,3: 72:[144, 140] Operation: 76+64=140\nMoving to Node #0,7,3\nCurrent State: 72:[144, 140], Operations: ['24*6=144', '76+64=140']\nExploring Operation: 144-140=4, Resulting Numbers: [4]\n4,72 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 72:[76, 64, 144], Operations: ['24*6=144']\nExploring Operation: 64+144=208, Resulting Numbers: [76, 208]\nGenerated Node #0,7,4: 72:[76, 208] Operation: 64+144=208\nMoving to Node #0,7,4\nCurrent State: 72:[76, 208], Operations: ['24*6=144', '64+144=208']\nExploring Operation: 208-76=132, Resulting Numbers: [132]\n132,72 unequal: No Solution\nMoving to Node #0\nCurrent State: 72:[24, 76, 6, 64], Operations: []\nExploring Operation: 24+64=88, Resulting Numbers: [76, 6, 88]\nGenerated Node #0,8: 72:[76, 6, 88] Operation: 24+64=88\nMoving to Node #0,8\nCurrent State: 72:[76, 6, 88], Operations: ['24+64=88']\nExploring Operation: 88-6=82, Resulting Numbers: [76, 82]\nGenerated Node #0,8,0: 72:[76, 82] Operation: 88-6=82\nMoving to Node #0,8,0\nCurrent State: 72:[76, 82], Operations: ['24+64=88', '88-6=82']\nExploring Operation: 82-76=6, Resulting Numbers: [6]\n6,72 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 72:[76, 6, 88], Operations: ['24+64=88']\nExploring Operation: 76-6=70, Resulting Numbers: [88, 70]\nGenerated Node #0,8,1: 72:[88, 70] Operation: 76-6=70\nMoving to Node #0,8,1\nCurrent State: 72:[88, 70], Operations: ['24+64=88', '76-6=70']\nExploring Operation: 88-70=18, Resulting Numbers: [18]\n18,72 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 72:[76, 6, 88], Operations: ['24+64=88']\nExploring Operation: 76+6=82, Resulting Numbers: [88, 82]\nGenerated Node #0,8,2: 72:[88, 82] Operation: 76+6=82\nMoving to Node #0,8,2\nCurrent State: 72:[88, 82], Operations: ['24+64=88', '76+6=82']\nExploring Operation: 88-82=6, Resulting Numbers: [6]\n6,72 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 72:[76, 6, 88], Operations: ['24+64=88']\nExploring Operation: 6+88=94, Resulting Numbers: [76, 94]\nGenerated Node #0,8,3: 72:[76, 94] Operation: 6+88=94\nMoving to Node #0,8,3\nCurrent State: 72:[76, 94], Operations: ['24+64=88', '6+88=94']\nExploring Operation: 94-76=18, Resulting Numbers: [18]\n18,72 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 72:[76, 6, 88], Operations: ['24+64=88']\nExploring Operation: 88-76=12, Resulting Numbers: [6, 12]\nGenerated Node #0,8,4: 72:[6, 12] Operation: 88-76=12\nMoving to Node #0,8,4\nCurrent State: 72:[6, 12], Operations: ['24+64=88', '88-76=12']\nExploring Operation: 6*12=72, Resulting Numbers: [72]\n72,72 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [79, 7, 22, 64] using the four basic arithmetic operations (+, -, *, /) to reach 83.",
"role": "user"
},
{
"content": "Current State: 83:[79, 7, 22, 64], Operations: []\nExploring Operation: 79+7=86, Resulting Numbers: [22, 64, 86]\nGenerated Node #0,0: 83:[22, 64, 86] Operation: 79+7=86\nExploring Operation: 7+22=29, Resulting Numbers: [79, 64, 29]\nGenerated Node #0,1: 83:[79, 64, 29] Operation: 7+22=29\nExploring Operation: 7+64=71, Resulting Numbers: [79, 22, 71]\nGenerated Node #0,2: 83:[79, 22, 71] Operation: 7+64=71\nExploring Operation: 79-7=72, Resulting Numbers: [22, 64, 72]\nGenerated Node #0,3: 83:[22, 64, 72] Operation: 79-7=72\nExploring Operation: 22+64=86, Resulting Numbers: [79, 7, 86]\nGenerated Node #0,4: 83:[79, 7, 86] Operation: 22+64=86\nMoving to Node #0,1\nCurrent State: 83:[79, 64, 29], Operations: ['7+22=29']\nExploring Operation: 79+29=108, Resulting Numbers: [64, 108]\nGenerated Node #0,1,0: 83:[64, 108] Operation: 79+29=108\nExploring Operation: 79+64=143, Resulting Numbers: [29, 143]\nGenerated Node #0,1,1: 83:[29, 143] Operation: 79+64=143\nExploring Operation: 79-29=50, Resulting Numbers: [64, 50]\nGenerated Node #0,1,2: 83:[64, 50] Operation: 79-29=50\nExploring Operation: 64-29=35, Resulting Numbers: [79, 35]\nGenerated Node #0,1,3: 83:[79, 35] Operation: 64-29=35\nExploring Operation: 64+29=93, Resulting Numbers: [79, 93]\nGenerated Node #0,1,4: 83:[79, 93] Operation: 64+29=93\nMoving to Node #0,2\nCurrent State: 83:[79, 22, 71], Operations: ['7+64=71']\nExploring Operation: 79+22=101, Resulting Numbers: [71, 101]\nGenerated Node #0,2,0: 83:[71, 101] Operation: 79+22=101\nExploring Operation: 22+71=93, Resulting Numbers: [79, 93]\nGenerated Node #0,2,1: 83:[79, 93] Operation: 22+71=93\nExploring Operation: 71-22=49, Resulting Numbers: [79, 49]\nGenerated Node #0,2,2: 83:[79, 49] Operation: 71-22=49\nExploring Operation: 79+71=150, Resulting Numbers: [22, 150]\nGenerated Node #0,2,3: 83:[22, 150] Operation: 79+71=150\nExploring Operation: 79-22=57, Resulting Numbers: [71, 57]\nGenerated Node #0,2,4: 83:[71, 57] Operation: 79-22=57\nMoving to Node #0,0\nCurrent State: 83:[22, 64, 86], Operations: ['79+7=86']\nExploring Operation: 22+86=108, Resulting Numbers: [64, 108]\nGenerated Node #0,0,0: 83:[64, 108] Operation: 22+86=108\nExploring Operation: 86-22=64, Resulting Numbers: [64, 64]\nGenerated Node #0,0,1: 83:[64, 64] Operation: 86-22=64\nExploring Operation: 64-22=42, Resulting Numbers: [86, 42]\nGenerated Node #0,0,2: 83:[86, 42] Operation: 64-22=42\nExploring Operation: 22+64=86, Resulting Numbers: [86, 86]\nGenerated Node #0,0,3: 83:[86, 86] Operation: 22+64=86\nExploring Operation: 86-64=22, Resulting Numbers: [22, 22]\nGenerated Node #0,0,4: 83:[22, 22] Operation: 86-64=22\nMoving to Node #0,4\nCurrent State: 83:[79, 7, 86], Operations: ['22+64=86']\nExploring Operation: 86-7=79, Resulting Numbers: [79, 79]\nGenerated Node #0,4,0: 83:[79, 79] Operation: 86-7=79\nExploring Operation: 79+7=86, Resulting Numbers: [86, 86]\nGenerated Node #0,4,1: 83:[86, 86] Operation: 79+7=86\nExploring Operation: 7+86=93, Resulting Numbers: [79, 93]\nGenerated Node #0,4,2: 83:[79, 93] Operation: 7+86=93\nExploring Operation: 86-79=7, Resulting Numbers: [7, 7]\nGenerated Node #0,4,3: 83:[7, 7] Operation: 86-79=7\nExploring Operation: 79-7=72, Resulting Numbers: [86, 72]\nGenerated Node #0,4,4: 83:[86, 72] Operation: 79-7=72\nMoving to Node #0,3\nCurrent State: 83:[22, 64, 72], Operations: ['79-7=72']\nExploring Operation: 72-22=50, Resulting Numbers: [64, 50]\nGenerated Node #0,3,0: 83:[64, 50] Operation: 72-22=50\nExploring Operation: 64+72=136, Resulting Numbers: [22, 136]\nGenerated Node #0,3,1: 83:[22, 136] Operation: 64+72=136\nExploring Operation: 64-22=42, Resulting Numbers: [72, 42]\nGenerated Node #0,3,2: 83:[72, 42] Operation: 64-22=42\nExploring Operation: 22+72=94, Resulting Numbers: [64, 94]\nGenerated Node #0,3,3: 83:[64, 94] Operation: 22+72=94\nExploring Operation: 22+64=86, Resulting Numbers: [72, 86]\nGenerated Node #0,3,4: 83:[72, 86] Operation: 22+64=86\nMoving to Node #0,0,3\nCurrent State: 83:[86, 86], Operations: ['79+7=86', '22+64=86']\nExploring Operation: 86*86=7396, Resulting Numbers: [7396]\n7396,83 unequal: No Solution\nExploring Operation: 86/86=1, Resulting Numbers: [1]\n1,83 unequal: No Solution\nExploring Operation: 86-86=0, Resulting Numbers: [0]\n0,83 unequal: No Solution\nExploring Operation: 86+86=172, Resulting Numbers: [172]\n172,83 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 83:[86, 86], Operations: ['22+64=86', '79+7=86']\nExploring Operation: 86+86=172, Resulting Numbers: [172]\n172,83 unequal: No Solution\nExploring Operation: 86*86=7396, Resulting Numbers: [7396]\n7396,83 unequal: No Solution\nExploring Operation: 86-86=0, Resulting Numbers: [0]\n0,83 unequal: No Solution\nExploring Operation: 86/86=1, Resulting Numbers: [1]\n1,83 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 83:[79, 79], Operations: ['22+64=86', '86-7=79']\nExploring Operation: 79/79=1, Resulting Numbers: [1]\n1,83 unequal: No Solution\nExploring Operation: 79-79=0, Resulting Numbers: [0]\n0,83 unequal: No Solution\nExploring Operation: 79*79=6241, Resulting Numbers: [6241]\n6241,83 unequal: No Solution\nExploring Operation: 79+79=158, Resulting Numbers: [158]\n158,83 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 83:[79, 93], Operations: ['7+64=71', '22+71=93']\nExploring Operation: 93-79=14, Resulting Numbers: [14]\n14,83 unequal: No Solution\nExploring Operation: 79+93=172, Resulting Numbers: [172]\n172,83 unequal: No Solution\nExploring Operation: 79*93=7347, Resulting Numbers: [7347]\n7347,83 unequal: No Solution\nMoving to Node #0,3,4\nCurrent State: 83:[72, 86], Operations: ['79-7=72', '22+64=86']\nExploring Operation: 72+86=158, Resulting Numbers: [158]\n158,83 unequal: No Solution\nExploring Operation: 86-72=14, Resulting Numbers: [14]\n14,83 unequal: No Solution\nExploring Operation: 72*86=6192, Resulting Numbers: [6192]\n6192,83 unequal: No Solution\nMoving to Node #0,4,2\nCurrent State: 83:[79, 93], Operations: ['22+64=86', '7+86=93']\nExploring Operation: 93-79=14, Resulting Numbers: [14]\n14,83 unequal: No Solution\nExploring Operation: 79+93=172, Resulting Numbers: [172]\n172,83 unequal: No Solution\nExploring Operation: 79*93=7347, Resulting Numbers: [7347]\n7347,83 unequal: No Solution\nMoving to Node #0,4,4\nCurrent State: 83:[86, 72], Operations: ['22+64=86', '79-7=72']\nExploring Operation: 86-72=14, Resulting Numbers: [14]\n14,83 unequal: No Solution\nExploring Operation: 86*72=6192, Resulting Numbers: [6192]\n6192,83 unequal: No Solution\nExploring Operation: 86+72=158, Resulting Numbers: [158]\n158,83 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 83:[79, 93], Operations: ['7+22=29', '64+29=93']\nExploring Operation: 79+93=172, Resulting Numbers: [172]\n172,83 unequal: No Solution\nExploring Operation: 93-79=14, Resulting Numbers: [14]\n14,83 unequal: No Solution\nExploring Operation: 79*93=7347, Resulting Numbers: [7347]\n7347,83 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 83:[71, 101], Operations: ['7+64=71', '79+22=101']\nExploring Operation: 71+101=172, Resulting Numbers: [172]\n172,83 unequal: No Solution\nExploring Operation: 71*101=7171, Resulting Numbers: [7171]\n7171,83 unequal: No Solution\nExploring Operation: 101-71=30, Resulting Numbers: [30]\n30,83 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 83:[64, 94], Operations: ['79-7=72', '22+72=94']\nExploring Operation: 64+94=158, Resulting Numbers: [158]\n158,83 unequal: No Solution\nExploring Operation: 64*94=6016, Resulting Numbers: [6016]\n6016,83 unequal: No Solution\nExploring Operation: 94-64=30, Resulting Numbers: [30]\n30,83 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 83:[64, 64], Operations: ['79+7=86', '86-22=64']\nExploring Operation: 64-64=0, Resulting Numbers: [0]\n0,83 unequal: No Solution\nExploring Operation: 64+64=128, Resulting Numbers: [128]\n128,83 unequal: No Solution\nExploring Operation: 64/64=1, Resulting Numbers: [1]\n1,83 unequal: No Solution\nExploring Operation: 64*64=4096, Resulting Numbers: [4096]\n4096,83 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 83:[79, 49], Operations: ['7+64=71', '71-22=49']\nExploring Operation: 79*49=3871, Resulting Numbers: [3871]\n3871,83 unequal: No Solution\nExploring Operation: 79+49=128, Resulting Numbers: [128]\n128,83 unequal: No Solution\nExploring Operation: 79-49=30, Resulting Numbers: [30]\n30,83 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 83:[71, 57], Operations: ['7+64=71', '79-22=57']\nExploring Operation: 71*57=4047, Resulting Numbers: [4047]\n4047,83 unequal: No Solution\nExploring Operation: 71-57=14, Resulting Numbers: [14]\n14,83 unequal: No Solution\nExploring Operation: 71+57=128, Resulting Numbers: [128]\n128,83 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 83:[86, 42], Operations: ['79+7=86', '64-22=42']\nExploring Operation: 86*42=3612, Resulting Numbers: [3612]\n3612,83 unequal: No Solution\nExploring Operation: 86-42=44, Resulting Numbers: [44]\n44,83 unequal: No Solution\nExploring Operation: 86+42=128, Resulting Numbers: [128]\n128,83 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 83:[64, 108], Operations: ['79+7=86', '22+86=108']\nExploring Operation: 64+108=172, Resulting Numbers: [172]\n172,83 unequal: No Solution\nExploring Operation: 108-64=44, Resulting Numbers: [44]\n44,83 unequal: No Solution\nExploring Operation: 64*108=6912, Resulting Numbers: [6912]\n6912,83 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 83:[64, 108], Operations: ['7+22=29', '79+29=108']\nExploring Operation: 64+108=172, Resulting Numbers: [172]\n172,83 unequal: No Solution\nExploring Operation: 108-64=44, Resulting Numbers: [44]\n44,83 unequal: No Solution\nExploring Operation: 64*108=6912, Resulting Numbers: [6912]\n6912,83 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 83:[72, 42], Operations: ['79-7=72', '64-22=42']\nExploring Operation: 72-42=30, Resulting Numbers: [30]\n30,83 unequal: No Solution\nExploring Operation: 72+42=114, Resulting Numbers: [114]\n114,83 unequal: No Solution\nExploring Operation: 72*42=3024, Resulting Numbers: [3024]\n3024,83 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 83:[64, 50], Operations: ['7+22=29', '79-29=50']\nExploring Operation: 64-50=14, Resulting Numbers: [14]\n14,83 unequal: No Solution\nExploring Operation: 64+50=114, Resulting Numbers: [114]\n114,83 unequal: No Solution\nExploring Operation: 64*50=3200, Resulting Numbers: [3200]\n3200,83 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 83:[64, 50], Operations: ['79-7=72', '72-22=50']\nExploring Operation: 64*50=3200, Resulting Numbers: [3200]\n3200,83 unequal: No Solution\nExploring Operation: 64-50=14, Resulting Numbers: [14]\n14,83 unequal: No Solution\nExploring Operation: 64+50=114, Resulting Numbers: [114]\n114,83 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 83:[79, 35], Operations: ['7+22=29', '64-29=35']\nExploring Operation: 79+35=114, Resulting Numbers: [114]\n114,83 unequal: No Solution\nExploring Operation: 79-35=44, Resulting Numbers: [44]\n44,83 unequal: No Solution\nExploring Operation: 79*35=2765, Resulting Numbers: [2765]\n2765,83 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 83:[29, 143], Operations: ['7+22=29', '79+64=143']\nExploring Operation: 29*143=4147, Resulting Numbers: [4147]\n4147,83 unequal: No Solution\nExploring Operation: 143-29=114, Resulting Numbers: [114]\n114,83 unequal: No Solution\nExploring Operation: 29+143=172, Resulting Numbers: [172]\n172,83 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 83:[22, 136], Operations: ['79-7=72', '64+72=136']\nExploring Operation: 22+136=158, Resulting Numbers: [158]\n158,83 unequal: No Solution\nExploring Operation: 22*136=2992, Resulting Numbers: [2992]\n2992,83 unequal: No Solution\nExploring Operation: 136-22=114, Resulting Numbers: [114]\n114,83 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 83:[22, 22], Operations: ['79+7=86', '86-64=22']\nExploring Operation: 22+22=44, Resulting Numbers: [44]\n44,83 unequal: No Solution\nExploring Operation: 22-22=0, Resulting Numbers: [0]\n0,83 unequal: No Solution\nExploring Operation: 22/22=1, Resulting Numbers: [1]\n1,83 unequal: No Solution\nExploring Operation: 22*22=484, Resulting Numbers: [484]\n484,83 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 83:[22, 150], Operations: ['7+64=71', '79+71=150']\nExploring Operation: 22*150=3300, Resulting Numbers: [3300]\n3300,83 unequal: No Solution\nExploring Operation: 22+150=172, Resulting Numbers: [172]\n172,83 unequal: No Solution\nExploring Operation: 150-22=128, Resulting Numbers: [128]\n128,83 unequal: No Solution\nMoving to Node #0,4,3\nCurrent State: 83:[7, 7], Operations: ['22+64=86', '86-79=7']\nExploring Operation: 7/7=1, Resulting Numbers: [1]\n1,83 unequal: No Solution\nExploring Operation: 7-7=0, Resulting Numbers: [0]\n0,83 unequal: No Solution\nExploring Operation: 7+7=14, Resulting Numbers: [14]\n14,83 unequal: No Solution\nExploring Operation: 7*7=49, Resulting Numbers: [49]\n49,83 unequal: No Solution\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [10, 67, 81, 90] using the four basic arithmetic operations (+, -, *, /) to reach 86.",
"role": "user"
},
{
"content": "Current State: 86:[10, 67, 81, 90], Operations: []\nExploring Operation: 10+67=77, Resulting Numbers: [81, 90, 77]\nGenerated Node #0,0: 86:[81, 90, 77] Operation: 10+67=77\nMoving to Node #0,0\nCurrent State: 86:[81, 90, 77], Operations: ['10+67=77']\nExploring Operation: 81-77=4, Resulting Numbers: [90, 4]\nGenerated Node #0,0,0: 86:[90, 4] Operation: 81-77=4\nMoving to Node #0,0,0\nCurrent State: 86:[90, 4], Operations: ['10+67=77', '81-77=4']\nExploring Operation: 90-4=86, Resulting Numbers: [86]\n86,86 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [24, 55, 72, 30] using the four basic arithmetic operations (+, -, *, /) to reach 67.",
"role": "user"
},
{
"content": "Current State: 67:[24, 55, 72, 30], Operations: []\nExploring Operation: 24+30=54, Resulting Numbers: [55, 72, 54]\nGenerated Node #0,0: 67:[55, 72, 54] Operation: 24+30=54\nMoving to Node #0,0\nCurrent State: 67:[55, 72, 54], Operations: ['24+30=54']\nExploring Operation: 55+54=109, Resulting Numbers: [72, 109]\nGenerated Node #0,0,0: 67:[72, 109] Operation: 55+54=109\nMoving to Node #0,0,0\nCurrent State: 67:[72, 109], Operations: ['24+30=54', '55+54=109']\nExploring Operation: 109-72=37, Resulting Numbers: [37]\n37,67 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 67:[55, 72, 54], Operations: ['24+30=54']\nExploring Operation: 72-54=18, Resulting Numbers: [55, 18]\nGenerated Node #0,0,1: 67:[55, 18] Operation: 72-54=18\nMoving to Node #0,0,1\nCurrent State: 67:[55, 18], Operations: ['24+30=54', '72-54=18']\nExploring Operation: 55+18=73, Resulting Numbers: [73]\n73,67 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 67:[55, 18], Operations: ['24+30=54', '72-54=18']\nExploring Operation: 55-18=37, Resulting Numbers: [37]\n37,67 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 67:[55, 72, 54], Operations: ['24+30=54']\nExploring Operation: 72-55=17, Resulting Numbers: [54, 17]\nGenerated Node #0,0,2: 67:[54, 17] Operation: 72-55=17\nMoving to Node #0,0,2\nCurrent State: 67:[54, 17], Operations: ['24+30=54', '72-55=17']\nExploring Operation: 54+17=71, Resulting Numbers: [71]\n71,67 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 67:[54, 17], Operations: ['24+30=54', '72-55=17']\nExploring Operation: 54-17=37, Resulting Numbers: [37]\n37,67 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 67:[55, 72, 54], Operations: ['24+30=54']\nExploring Operation: 55-54=1, Resulting Numbers: [72, 1]\nGenerated Node #0,0,3: 67:[72, 1] Operation: 55-54=1\nMoving to Node #0,0,3\nCurrent State: 67:[72, 1], Operations: ['24+30=54', '55-54=1']\nExploring Operation: 72-1=71, Resulting Numbers: [71]\n71,67 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 67:[72, 1], Operations: ['24+30=54', '55-54=1']\nExploring Operation: 72*1=72, Resulting Numbers: [72]\n72,67 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 67:[72, 1], Operations: ['24+30=54', '55-54=1']\nExploring Operation: 72/1=72, Resulting Numbers: [72]\n72,67 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 67:[72, 1], Operations: ['24+30=54', '55-54=1']\nExploring Operation: 72+1=73, Resulting Numbers: [73]\n73,67 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 67:[55, 72, 54], Operations: ['24+30=54']\nExploring Operation: 72+54=126, Resulting Numbers: [55, 126]\nGenerated Node #0,0,4: 67:[55, 126] Operation: 72+54=126\nMoving to Node #0,0,4\nCurrent State: 67:[55, 126], Operations: ['24+30=54', '72+54=126']\nExploring Operation: 126-55=71, Resulting Numbers: [71]\n71,67 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 67:[55, 72, 54], Operations: ['24+30=54']\nExploring Operation: 55+72=127, Resulting Numbers: [54, 127]\nGenerated Node #0,0,5: 67:[54, 127] Operation: 55+72=127\nMoving to Node #0,0,5\nCurrent State: 67:[54, 127], Operations: ['24+30=54', '55+72=127']\nExploring Operation: 127-54=73, Resulting Numbers: [73]\n73,67 unequal: No Solution\nMoving to Node #0\nCurrent State: 67:[24, 55, 72, 30], Operations: []\nExploring Operation: 24+55=79, Resulting Numbers: [72, 30, 79]\nGenerated Node #0,1: 67:[72, 30, 79] Operation: 24+55=79\nMoving to Node #0,1\nCurrent State: 67:[72, 30, 79], Operations: ['24+55=79']\nExploring Operation: 79-30=49, Resulting Numbers: [72, 49]\nGenerated Node #0,1,0: 67:[72, 49] Operation: 79-30=49\nMoving to Node #0,1,0\nCurrent State: 67:[72, 49], Operations: ['24+55=79', '79-30=49']\nExploring Operation: 72-49=23, Resulting Numbers: [23]\n23,67 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 67:[72, 49], Operations: ['24+55=79', '79-30=49']\nExploring Operation: 72+49=121, Resulting Numbers: [121]\n121,67 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 67:[72, 30, 79], Operations: ['24+55=79']\nExploring Operation: 72-30=42, Resulting Numbers: [79, 42]\nGenerated Node #0,1,1: 67:[79, 42] Operation: 72-30=42\nMoving to Node #0,1,1\nCurrent State: 67:[79, 42], Operations: ['24+55=79', '72-30=42']\nExploring Operation: 79-42=37, Resulting Numbers: [37]\n37,67 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 67:[79, 42], Operations: ['24+55=79', '72-30=42']\nExploring Operation: 79+42=121, Resulting Numbers: [121]\n121,67 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 67:[72, 30, 79], Operations: ['24+55=79']\nExploring Operation: 72+30=102, Resulting Numbers: [79, 102]\nGenerated Node #0,1,2: 67:[79, 102] Operation: 72+30=102\nMoving to Node #0,1,2\nCurrent State: 67:[79, 102], Operations: ['24+55=79', '72+30=102']\nExploring Operation: 102-79=23, Resulting Numbers: [23]\n23,67 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 67:[72, 30, 79], Operations: ['24+55=79']\nExploring Operation: 30+79=109, Resulting Numbers: [72, 109]\nGenerated Node #0,1,3: 67:[72, 109] Operation: 30+79=109\nMoving to Node #0,1,3\nCurrent State: 67:[72, 109], Operations: ['24+55=79', '30+79=109']\nExploring Operation: 109-72=37, Resulting Numbers: [37]\n37,67 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 67:[72, 30, 79], Operations: ['24+55=79']\nExploring Operation: 79-72=7, Resulting Numbers: [30, 7]\nGenerated Node #0,1,4: 67:[30, 7] Operation: 79-72=7\nMoving to Node #0,1,4\nCurrent State: 67:[30, 7], Operations: ['24+55=79', '79-72=7']\nExploring Operation: 30+7=37, Resulting Numbers: [37]\n37,67 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 67:[30, 7], Operations: ['24+55=79', '79-72=7']\nExploring Operation: 30-7=23, Resulting Numbers: [23]\n23,67 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 67:[72, 30, 79], Operations: ['24+55=79']\nExploring Operation: 72+79=151, Resulting Numbers: [30, 151]\nGenerated Node #0,1,5: 67:[30, 151] Operation: 72+79=151\nMoving to Node #0,1,5\nCurrent State: 67:[30, 151], Operations: ['24+55=79', '72+79=151']\nExploring Operation: 151-30=121, Resulting Numbers: [121]\n121,67 unequal: No Solution\nMoving to Node #0\nCurrent State: 67:[24, 55, 72, 30], Operations: []\nExploring Operation: 55+30=85, Resulting Numbers: [24, 72, 85]\nGenerated Node #0,2: 67:[24, 72, 85] Operation: 55+30=85\nMoving to Node #0,2\nCurrent State: 67:[24, 72, 85], Operations: ['55+30=85']\nExploring Operation: 85-24=61, Resulting Numbers: [72, 61]\nGenerated Node #0,2,0: 67:[72, 61] Operation: 85-24=61\nMoving to Node #0,2,0\nCurrent State: 67:[72, 61], Operations: ['55+30=85', '85-24=61']\nExploring Operation: 72-61=11, Resulting Numbers: [11]\n11,67 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 67:[72, 61], Operations: ['55+30=85', '85-24=61']\nExploring Operation: 72+61=133, Resulting Numbers: [133]\n133,67 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 67:[24, 72, 85], Operations: ['55+30=85']\nExploring Operation: 72-24=48, Resulting Numbers: [85, 48]\nGenerated Node #0,2,1: 67:[85, 48] Operation: 72-24=48\nMoving to Node #0,2,1\nCurrent State: 67:[85, 48], Operations: ['55+30=85', '72-24=48']\nExploring Operation: 85-48=37, Resulting Numbers: [37]\n37,67 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 67:[85, 48], Operations: ['55+30=85', '72-24=48']\nExploring Operation: 85+48=133, Resulting Numbers: [133]\n133,67 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 67:[24, 72, 85], Operations: ['55+30=85']\nExploring Operation: 24+72=96, Resulting Numbers: [85, 96]\nGenerated Node #0,2,2: 67:[85, 96] Operation: 24+72=96\nMoving to Node #0,2,2\nCurrent State: 67:[85, 96], Operations: ['55+30=85', '24+72=96']\nExploring Operation: 96-85=11, Resulting Numbers: [11]\n11,67 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 67:[24, 72, 85], Operations: ['55+30=85']\nExploring Operation: 24+85=109, Resulting Numbers: [72, 109]\nGenerated Node #0,2,3: 67:[72, 109] Operation: 24+85=109\nMoving to Node #0,2,3\nCurrent State: 67:[72, 109], Operations: ['55+30=85', '24+85=109']\nExploring Operation: 109-72=37, Resulting Numbers: [37]\n37,67 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 67:[24, 72, 85], Operations: ['55+30=85']\nExploring Operation: 72/24=3, Resulting Numbers: [85, 3]\nGenerated Node #0,2,4: 67:[85, 3] Operation: 72/24=3\nMoving to Node #0,2,4\nCurrent State: 67:[85, 3], Operations: ['55+30=85', '72/24=3']\nExploring Operation: 85-3=82, Resulting Numbers: [82]\n82,67 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 67:[85, 3], Operations: ['55+30=85', '72/24=3']\nExploring Operation: 85+3=88, Resulting Numbers: [88]\n88,67 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 67:[24, 72, 85], Operations: ['55+30=85']\nExploring Operation: 85-72=13, Resulting Numbers: [24, 13]\nGenerated Node #0,2,5: 67:[24, 13] Operation: 85-72=13\nMoving to Node #0,2,5\nCurrent State: 67:[24, 13], Operations: ['55+30=85', '85-72=13']\nExploring Operation: 24+13=37, Resulting Numbers: [37]\n37,67 unequal: No Solution\nMoving to Node #0,2,5\nCurrent State: 67:[24, 13], Operations: ['55+30=85', '85-72=13']\nExploring Operation: 24-13=11, Resulting Numbers: [11]\n11,67 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 67:[24, 72, 85], Operations: ['55+30=85']\nExploring Operation: 72+85=157, Resulting Numbers: [24, 157]\nGenerated Node #0,2,6: 67:[24, 157] Operation: 72+85=157\nMoving to Node #0,2,6\nCurrent State: 67:[24, 157], Operations: ['55+30=85', '72+85=157']\nExploring Operation: 157-24=133, Resulting Numbers: [133]\n133,67 unequal: No Solution\nMoving to Node #0\nCurrent State: 67:[24, 55, 72, 30], Operations: []\nExploring Operation: 72-24=48, Resulting Numbers: [55, 30, 48]\nGenerated Node #0,3: 67:[55, 30, 48] Operation: 72-24=48\nMoving to Node #0,3\nCurrent State: 67:[55, 30, 48], Operations: ['72-24=48']\nExploring Operation: 30+48=78, Resulting Numbers: [55, 78]\nGenerated Node #0,3,0: 67:[55, 78] Operation: 30+48=78\nMoving to Node #0,3,0\nCurrent State: 67:[55, 78], Operations: ['72-24=48', '30+48=78']\nExploring Operation: 78-55=23, Resulting Numbers: [23]\n23,67 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 67:[55, 78], Operations: ['72-24=48', '30+48=78']\nExploring Operation: 55+78=133, Resulting Numbers: [133]\n133,67 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 67:[55, 30, 48], Operations: ['72-24=48']\nExploring Operation: 55+30=85, Resulting Numbers: [48, 85]\nGenerated Node #0,3,1: 67:[48, 85] Operation: 55+30=85\nMoving to Node #0,3,1\nCurrent State: 67:[48, 85], Operations: ['72-24=48', '55+30=85']\nExploring Operation: 85-48=37, Resulting Numbers: [37]\n37,67 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 67:[48, 85], Operations: ['72-24=48', '55+30=85']\nExploring Operation: 48+85=133, Resulting Numbers: [133]\n133,67 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 67:[55, 30, 48], Operations: ['72-24=48']\nExploring Operation: 55-30=25, Resulting Numbers: [48, 25]\nGenerated Node #0,3,2: 67:[48, 25] Operation: 55-30=25\nMoving to Node #0,3,2\nCurrent State: 67:[48, 25], Operations: ['72-24=48', '55-30=25']\nExploring Operation: 48+25=73, Resulting Numbers: [73]\n73,67 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 67:[48, 25], Operations: ['72-24=48', '55-30=25']\nExploring Operation: 48-25=23, Resulting Numbers: [23]\n23,67 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 67:[55, 30, 48], Operations: ['72-24=48']\nExploring Operation: 48-30=18, Resulting Numbers: [55, 18]\nGenerated Node #0,3,3: 67:[55, 18] Operation: 48-30=18\nMoving to Node #0,3,3\nCurrent State: 67:[55, 18], Operations: ['72-24=48', '48-30=18']\nExploring Operation: 55+18=73, Resulting Numbers: [73]\n73,67 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 67:[55, 18], Operations: ['72-24=48', '48-30=18']\nExploring Operation: 55-18=37, Resulting Numbers: [37]\n37,67 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 67:[55, 30, 48], Operations: ['72-24=48']\nExploring Operation: 55+48=103, Resulting Numbers: [30, 103]\nGenerated Node #0,3,4: 67:[30, 103] Operation: 55+48=103\nMoving to Node #0,3,4\nCurrent State: 67:[30, 103], Operations: ['72-24=48', '55+48=103']\nExploring Operation: 103-30=73, Resulting Numbers: [73]\n73,67 unequal: No Solution\nMoving to Node #0,3,4\nCurrent State: 67:[30, 103], Operations: ['72-24=48', '55+48=103']\nExploring Operation: 30+103=133, Resulting Numbers: [133]\n133,67 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 67:[55, 30, 48], Operations: ['72-24=48']\nExploring Operation: 55-48=7, Resulting Numbers: [30, 7]\nGenerated Node #0,3,5: 67:[30, 7] Operation: 55-48=7\nMoving to Node #0,3,5\nCurrent State: 67:[30, 7], Operations: ['72-24=48', '55-48=7']\nExploring Operation: 30+7=37, Resulting Numbers: [37]\n37,67 unequal: No Solution\nMoving to Node #0,3,5\nCurrent State: 67:[30, 7], Operations: ['72-24=48', '55-48=7']\nExploring Operation: 30-7=23, Resulting Numbers: [23]\n23,67 unequal: No Solution\nMoving to Node #0\nCurrent State: 67:[24, 55, 72, 30], Operations: []\nExploring Operation: 55-24=31, Resulting Numbers: [72, 30, 31]\nGenerated Node #0,4: 67:[72, 30, 31] Operation: 55-24=31\nMoving to Node #0,4\nCurrent State: 67:[72, 30, 31], Operations: ['55-24=31']\nExploring Operation: 30+31=61, Resulting Numbers: [72, 61]\nGenerated Node #0,4,0: 67:[72, 61] Operation: 30+31=61\nMoving to Node #0,4,0\nCurrent State: 67:[72, 61], Operations: ['55-24=31', '30+31=61']\nExploring Operation: 72-61=11, Resulting Numbers: [11]\n11,67 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 67:[72, 61], Operations: ['55-24=31', '30+31=61']\nExploring Operation: 72+61=133, Resulting Numbers: [133]\n133,67 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 67:[72, 30, 31], Operations: ['55-24=31']\nExploring Operation: 72-30=42, Resulting Numbers: [31, 42]\nGenerated Node #0,4,1: 67:[31, 42] Operation: 72-30=42\nMoving to Node #0,4,1\nCurrent State: 67:[31, 42], Operations: ['55-24=31', '72-30=42']\nExploring Operation: 31+42=73, Resulting Numbers: [73]\n73,67 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 67:[31, 42], Operations: ['55-24=31', '72-30=42']\nExploring Operation: 42-31=11, Resulting Numbers: [11]\n11,67 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 67:[72, 30, 31], Operations: ['55-24=31']\nExploring Operation: 72-31=41, Resulting Numbers: [30, 41]\nGenerated Node #0,4,2: 67:[30, 41] Operation: 72-31=41\nMoving to Node #0,4,2\nCurrent State: 67:[30, 41], Operations: ['55-24=31', '72-31=41']\nExploring Operation: 30+41=71, Resulting Numbers: [71]\n71,67 unequal: No Solution\nMoving to Node #0,4,2\nCurrent State: 67:[30, 41], Operations: ['55-24=31', '72-31=41']\nExploring Operation: 41-30=11, Resulting Numbers: [11]\n11,67 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 67:[72, 30, 31], Operations: ['55-24=31']\nExploring Operation: 72+30=102, Resulting Numbers: [31, 102]\nGenerated Node #0,4,3: 67:[31, 102] Operation: 72+30=102\nMoving to Node #0,4,3\nCurrent State: 67:[31, 102], Operations: ['55-24=31', '72+30=102']\nExploring Operation: 102-31=71, Resulting Numbers: [71]\n71,67 unequal: No Solution\nMoving to Node #0,4,3\nCurrent State: 67:[31, 102], Operations: ['55-24=31', '72+30=102']\nExploring Operation: 31+102=133, Resulting Numbers: [133]\n133,67 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 67:[72, 30, 31], Operations: ['55-24=31']\nExploring Operation: 31-30=1, Resulting Numbers: [72, 1]\nGenerated Node #0,4,4: 67:[72, 1] Operation: 31-30=1\nMoving to Node #0,4,4\nCurrent State: 67:[72, 1], Operations: ['55-24=31', '31-30=1']\nExploring Operation: 72-1=71, Resulting Numbers: [71]\n71,67 unequal: No Solution\nMoving to Node #0,4,4\nCurrent State: 67:[72, 1], Operations: ['55-24=31', '31-30=1']\nExploring Operation: 72*1=72, Resulting Numbers: [72]\n72,67 unequal: No Solution\nMoving to Node #0,4,4\nCurrent State: 67:[72, 1], Operations: ['55-24=31', '31-30=1']\nExploring Operation: 72/1=72, Resulting Numbers: [72]\n72,67 unequal: No Solution\nMoving to Node #0,4,4\nCurrent State: 67:[72, 1], Operations: ['55-24=31', '31-30=1']\nExploring Operation: 72+1=73, Resulting Numbers: [73]\n73,67 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 67:[72, 30, 31], Operations: ['55-24=31']\nExploring Operation: 72+31=103, Resulting Numbers: [30, 103]\nGenerated Node #0,4,5: 67:[30, 103] Operation: 72+31=103\nMoving to Node #0,4,5\nCurrent State: 67:[30, 103], Operations: ['55-24=31', '72+31=103']\nExploring Operation: 103-30=73, Resulting Numbers: [73]\n73,67 unequal: No Solution\nMoving to Node #0,4,5\nCurrent State: 67:[30, 103], Operations: ['55-24=31', '72+31=103']\nExploring Operation: 30+103=133, Resulting Numbers: [133]\n133,67 unequal: No Solution\nMoving to Node #0\nCurrent State: 67:[24, 55, 72, 30], Operations: []\nExploring Operation: 24+72=96, Resulting Numbers: [55, 30, 96]\nGenerated Node #0,5: 67:[55, 30, 96] Operation: 24+72=96\nMoving to Node #0,5\nCurrent State: 67:[55, 30, 96], Operations: ['24+72=96']\nExploring Operation: 96-30=66, Resulting Numbers: [55, 66]\nGenerated Node #0,5,0: 67:[55, 66] Operation: 96-30=66\nMoving to Node #0,5,0\nCurrent State: 67:[55, 66], Operations: ['24+72=96', '96-30=66']\nExploring Operation: 55+66=121, Resulting Numbers: [121]\n121,67 unequal: No Solution\nMoving to Node #0,5,0\nCurrent State: 67:[55, 66], Operations: ['24+72=96', '96-30=66']\nExploring Operation: 66-55=11, Resulting Numbers: [11]\n11,67 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 67:[55, 30, 96], Operations: ['24+72=96']\nExploring Operation: 55+30=85, Resulting Numbers: [96, 85]\nGenerated Node #0,5,1: 67:[96, 85] Operation: 55+30=85\nMoving to Node #0,5,1\nCurrent State: 67:[96, 85], Operations: ['24+72=96', '55+30=85']\nExploring Operation: 96-85=11, Resulting Numbers: [11]\n11,67 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 67:[55, 30, 96], Operations: ['24+72=96']\nExploring Operation: 96-55=41, Resulting Numbers: [30, 41]\nGenerated Node #0,5,2: 67:[30, 41] Operation: 96-55=41\nMoving to Node #0,5,2\nCurrent State: 67:[30, 41], Operations: ['24+72=96', '96-55=41']\nExploring Operation: 30+41=71, Resulting Numbers: [71]\n71,67 unequal: No Solution\nMoving to Node #0,5,2\nCurrent State: 67:[30, 41], Operations: ['24+72=96', '96-55=41']\nExploring Operation: 41-30=11, Resulting Numbers: [11]\n11,67 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 67:[55, 30, 96], Operations: ['24+72=96']\nExploring Operation: 55-30=25, Resulting Numbers: [96, 25]\nGenerated Node #0,5,3: 67:[96, 25] Operation: 55-30=25\nMoving to Node #0,5,3\nCurrent State: 67:[96, 25], Operations: ['24+72=96', '55-30=25']\nExploring Operation: 96-25=71, Resulting Numbers: [71]\n71,67 unequal: No Solution\nMoving to Node #0,5,3\nCurrent State: 67:[96, 25], Operations: ['24+72=96', '55-30=25']\nExploring Operation: 96+25=121, Resulting Numbers: [121]\n121,67 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 67:[55, 30, 96], Operations: ['24+72=96']\nExploring Operation: 30+96=126, Resulting Numbers: [55, 126]\nGenerated Node #0,5,4: 67:[55, 126] Operation: 30+96=126\nMoving to Node #0,5,4\nCurrent State: 67:[55, 126], Operations: ['24+72=96', '30+96=126']\nExploring Operation: 126-55=71, Resulting Numbers: [71]\n71,67 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 67:[55, 30, 96], Operations: ['24+72=96']\nExploring Operation: 55+96=151, Resulting Numbers: [30, 151]\nGenerated Node #0,5,5: 67:[30, 151] Operation: 55+96=151\nMoving to Node #0,5,5\nCurrent State: 67:[30, 151], Operations: ['24+72=96', '55+96=151']\nExploring Operation: 151-30=121, Resulting Numbers: [121]\n121,67 unequal: No Solution\nMoving to Node #0\nCurrent State: 67:[24, 55, 72, 30], Operations: []\nExploring Operation: 30-24=6, Resulting Numbers: [55, 72, 6]\nGenerated Node #0,6: 67:[55, 72, 6] Operation: 30-24=6\nMoving to Node #0,6\nCurrent State: 67:[55, 72, 6], Operations: ['30-24=6']\nExploring Operation: 55+6=61, Resulting Numbers: [72, 61]\nGenerated Node #0,6,0: 67:[72, 61] Operation: 55+6=61\nMoving to Node #0,6,0\nCurrent State: 67:[72, 61], Operations: ['30-24=6', '55+6=61']\nExploring Operation: 72-61=11, Resulting Numbers: [11]\n11,67 unequal: No Solution\nMoving to Node #0,6,0\nCurrent State: 67:[72, 61], Operations: ['30-24=6', '55+6=61']\nExploring Operation: 72+61=133, Resulting Numbers: [133]\n133,67 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 67:[55, 72, 6], Operations: ['30-24=6']\nExploring Operation: 72-6=66, Resulting Numbers: [55, 66]\nGenerated Node #0,6,1: 67:[55, 66] Operation: 72-6=66\nMoving to Node #0,6,1\nCurrent State: 67:[55, 66], Operations: ['30-24=6', '72-6=66']\nExploring Operation: 55+66=121, Resulting Numbers: [121]\n121,67 unequal: No Solution\nMoving to Node #0,6,1\nCurrent State: 67:[55, 66], Operations: ['30-24=6', '72-6=66']\nExploring Operation: 66-55=11, Resulting Numbers: [11]\n11,67 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 67:[55, 72, 6], Operations: ['30-24=6']\nExploring Operation: 55-6=49, Resulting Numbers: [72, 49]\nGenerated Node #0,6,2: 67:[72, 49] Operation: 55-6=49\nMoving to Node #0,6,2\nCurrent State: 67:[72, 49], Operations: ['30-24=6', '55-6=49']\nExploring Operation: 72-49=23, Resulting Numbers: [23]\n23,67 unequal: No Solution\nMoving to Node #0,6,2\nCurrent State: 67:[72, 49], Operations: ['30-24=6', '55-6=49']\nExploring Operation: 72+49=121, Resulting Numbers: [121]\n121,67 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 67:[55, 72, 6], Operations: ['30-24=6']\nExploring Operation: 72+6=78, Resulting Numbers: [55, 78]\nGenerated Node #0,6,3: 67:[55, 78] Operation: 72+6=78\nMoving to Node #0,6,3\nCurrent State: 67:[55, 78], Operations: ['30-24=6', '72+6=78']\nExploring Operation: 78-55=23, Resulting Numbers: [23]\n23,67 unequal: No Solution\nMoving to Node #0,6,3\nCurrent State: 67:[55, 78], Operations: ['30-24=6', '72+6=78']\nExploring Operation: 55+78=133, Resulting Numbers: [133]\n133,67 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 67:[55, 72, 6], Operations: ['30-24=6']\nExploring Operation: 72/6=12, Resulting Numbers: [55, 12]\nGenerated Node #0,6,4: 67:[55, 12] Operation: 72/6=12\nMoving to Node #0,6,4\nCurrent State: 67:[55, 12], Operations: ['30-24=6', '72/6=12']\nExploring Operation: 55+12=67, Resulting Numbers: [67]\n67,67 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [74, 56, 15, 69] using the four basic arithmetic operations (+, -, *, /) to reach 59.",
"role": "user"
},
{
"content": "Current State: 59:[74, 56, 15, 69], Operations: []\nExploring Operation: 74-15=59, Resulting Numbers: [56, 69, 59]\nGenerated Node #0,0: 59:[56, 69, 59] Operation: 74-15=59\nExploring Operation: 56+15=71, Resulting Numbers: [74, 69, 71]\nGenerated Node #0,1: 59:[74, 69, 71] Operation: 56+15=71\nExploring Operation: 69-15=54, Resulting Numbers: [74, 56, 54]\nGenerated Node #0,2: 59:[74, 56, 54] Operation: 69-15=54\nExploring Operation: 74+15=89, Resulting Numbers: [56, 69, 89]\nGenerated Node #0,3: 59:[56, 69, 89] Operation: 74+15=89\nExploring Operation: 56-15=41, Resulting Numbers: [74, 69, 41]\nGenerated Node #0,4: 59:[74, 69, 41] Operation: 56-15=41\nMoving to Node #0,0\nCurrent State: 59:[56, 69, 59], Operations: ['74-15=59']\nExploring Operation: 69-56=13, Resulting Numbers: [59, 13]\nGenerated Node #0,0,0: 59:[59, 13] Operation: 69-56=13\nExploring Operation: 56+69=125, Resulting Numbers: [59, 125]\nGenerated Node #0,0,1: 59:[59, 125] Operation: 56+69=125\nExploring Operation: 69-59=10, Resulting Numbers: [56, 10]\nGenerated Node #0,0,2: 59:[56, 10] Operation: 69-59=10\nExploring Operation: 56+59=115, Resulting Numbers: [69, 115]\nGenerated Node #0,0,3: 59:[69, 115] Operation: 56+59=115\nExploring Operation: 59-56=3, Resulting Numbers: [69, 3]\nGenerated Node #0,0,4: 59:[69, 3] Operation: 59-56=3\nMoving to Node #0,2\nCurrent State: 59:[74, 56, 54], Operations: ['69-15=54']\nExploring Operation: 74+54=128, Resulting Numbers: [56, 128]\nGenerated Node #0,2,0: 59:[56, 128] Operation: 74+54=128\nExploring Operation: 56+54=110, Resulting Numbers: [74, 110]\nGenerated Node #0,2,1: 59:[74, 110] Operation: 56+54=110\nExploring Operation: 56-54=2, Resulting Numbers: [74, 2]\nGenerated Node #0,2,2: 59:[74, 2] Operation: 56-54=2\nExploring Operation: 74-54=20, Resulting Numbers: [56, 20]\nGenerated Node #0,2,3: 59:[56, 20] Operation: 74-54=20\nExploring Operation: 74-56=18, Resulting Numbers: [54, 18]\nGenerated Node #0,2,4: 59:[54, 18] Operation: 74-56=18\nMoving to Node #0,1\nCurrent State: 59:[74, 69, 71], Operations: ['56+15=71']\nExploring Operation: 74+71=145, Resulting Numbers: [69, 145]\nGenerated Node #0,1,0: 59:[69, 145] Operation: 74+71=145\nExploring Operation: 71-69=2, Resulting Numbers: [74, 2]\nGenerated Node #0,1,1: 59:[74, 2] Operation: 71-69=2\nExploring Operation: 74-69=5, Resulting Numbers: [71, 5]\nGenerated Node #0,1,2: 59:[71, 5] Operation: 74-69=5\nExploring Operation: 74+69=143, Resulting Numbers: [71, 143]\nGenerated Node #0,1,3: 59:[71, 143] Operation: 74+69=143\nExploring Operation: 74-71=3, Resulting Numbers: [69, 3]\nGenerated Node #0,1,4: 59:[69, 3] Operation: 74-71=3\nMoving to Node #0,3\nCurrent State: 59:[56, 69, 89], Operations: ['74+15=89']\nExploring Operation: 89-69=20, Resulting Numbers: [56, 20]\nGenerated Node #0,3,0: 59:[56, 20] Operation: 89-69=20\nExploring Operation: 69-56=13, Resulting Numbers: [89, 13]\nGenerated Node #0,3,1: 59:[89, 13] Operation: 69-56=13\nExploring Operation: 56+69=125, Resulting Numbers: [89, 125]\nGenerated Node #0,3,2: 59:[89, 125] Operation: 56+69=125\nExploring Operation: 56+89=145, Resulting Numbers: [69, 145]\nGenerated Node #0,3,3: 59:[69, 145] Operation: 56+89=145\nExploring Operation: 89-56=33, Resulting Numbers: [69, 33]\nGenerated Node #0,3,4: 59:[69, 33] Operation: 89-56=33\nMoving to Node #0,4\nCurrent State: 59:[74, 69, 41], Operations: ['56-15=41']\nExploring Operation: 74-41=33, Resulting Numbers: [69, 33]\nGenerated Node #0,4,0: 59:[69, 33] Operation: 74-41=33\nExploring Operation: 69-41=28, Resulting Numbers: [74, 28]\nGenerated Node #0,4,1: 59:[74, 28] Operation: 69-41=28\nExploring Operation: 74+41=115, Resulting Numbers: [69, 115]\nGenerated Node #0,4,2: 59:[69, 115] Operation: 74+41=115\nExploring Operation: 69+41=110, Resulting Numbers: [74, 110]\nGenerated Node #0,4,3: 59:[74, 110] Operation: 69+41=110\nExploring Operation: 74-69=5, Resulting Numbers: [41, 5]\nGenerated Node #0,4,4: 59:[41, 5] Operation: 74-69=5\nMoving to Node #0,3,4\nCurrent State: 59:[69, 33], Operations: ['74+15=89', '89-56=33']\nExploring Operation: 69*33=2277, Resulting Numbers: [2277]\n2277,59 unequal: No Solution\nExploring Operation: 69-33=36, Resulting Numbers: [36]\n36,59 unequal: No Solution\nExploring Operation: 69+33=102, Resulting Numbers: [102]\n102,59 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 59:[69, 33], Operations: ['56-15=41', '74-41=33']\nExploring Operation: 69+33=102, Resulting Numbers: [102]\n102,59 unequal: No Solution\nExploring Operation: 69-33=36, Resulting Numbers: [36]\n36,59 unequal: No Solution\nExploring Operation: 69*33=2277, Resulting Numbers: [2277]\n2277,59 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 59:[56, 20], Operations: ['69-15=54', '74-54=20']\nExploring Operation: 56-20=36, Resulting Numbers: [36]\n36,59 unequal: No Solution\nExploring Operation: 56+20=76, Resulting Numbers: [76]\n76,59 unequal: No Solution\nExploring Operation: 56*20=1120, Resulting Numbers: [1120]\n1120,59 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 59:[56, 20], Operations: ['74+15=89', '89-69=20']\nExploring Operation: 56*20=1120, Resulting Numbers: [1120]\n1120,59 unequal: No Solution\nExploring Operation: 56+20=76, Resulting Numbers: [76]\n76,59 unequal: No Solution\nExploring Operation: 56-20=36, Resulting Numbers: [36]\n36,59 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 59:[59, 13], Operations: ['74-15=59', '69-56=13']\nExploring Operation: 59-13=46, Resulting Numbers: [46]\n46,59 unequal: No Solution\nExploring Operation: 59+13=72, Resulting Numbers: [72]\n72,59 unequal: No Solution\nExploring Operation: 59*13=767, Resulting Numbers: [767]\n767,59 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 59:[54, 18], Operations: ['69-15=54', '74-56=18']\nExploring Operation: 54*18=972, Resulting Numbers: [972]\n972,59 unequal: No Solution\nExploring Operation: 54-18=36, Resulting Numbers: [36]\n36,59 unequal: No Solution\nExploring Operation: 54/18=3, Resulting Numbers: [3]\n3,59 unequal: No Solution\nExploring Operation: 54+18=72, Resulting Numbers: [72]\n72,59 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 59:[74, 28], Operations: ['56-15=41', '69-41=28']\nExploring Operation: 74-28=46, Resulting Numbers: [46]\n46,59 unequal: No Solution\nExploring Operation: 74+28=102, Resulting Numbers: [102]\n102,59 unequal: No Solution\nExploring Operation: 74*28=2072, Resulting Numbers: [2072]\n2072,59 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 59:[56, 10], Operations: ['74-15=59', '69-59=10']\nExploring Operation: 56-10=46, Resulting Numbers: [46]\n46,59 unequal: No Solution\nExploring Operation: 56*10=560, Resulting Numbers: [560]\n560,59 unequal: No Solution\nExploring Operation: 56+10=66, Resulting Numbers: [66]\n66,59 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 59:[59, 125], Operations: ['74-15=59', '56+69=125']\nExploring Operation: 59*125=7375, Resulting Numbers: [7375]\n7375,59 unequal: No Solution\nExploring Operation: 125-59=66, Resulting Numbers: [66]\n66,59 unequal: No Solution\nExploring Operation: 59+125=184, Resulting Numbers: [184]\n184,59 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 59:[69, 3], Operations: ['56+15=71', '74-71=3']\nExploring Operation: 69+3=72, Resulting Numbers: [72]\n72,59 unequal: No Solution\nExploring Operation: 69-3=66, Resulting Numbers: [66]\n66,59 unequal: No Solution\nExploring Operation: 69/3=23, Resulting Numbers: [23]\n23,59 unequal: No Solution\nExploring Operation: 69*3=207, Resulting Numbers: [207]\n207,59 unequal: No Solution\nMoving to Node #0,4,2\nCurrent State: 59:[69, 115], Operations: ['56-15=41', '74+41=115']\nExploring Operation: 69*115=7935, Resulting Numbers: [7935]\n7935,59 unequal: No Solution\nExploring Operation: 69+115=184, Resulting Numbers: [184]\n184,59 unequal: No Solution\nExploring Operation: 115-69=46, Resulting Numbers: [46]\n46,59 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 59:[71, 5], Operations: ['56+15=71', '74-69=5']\nExploring Operation: 71-5=66, Resulting Numbers: [66]\n66,59 unequal: No Solution\nExploring Operation: 71+5=76, Resulting Numbers: [76]\n76,59 unequal: No Solution\nExploring Operation: 71*5=355, Resulting Numbers: [355]\n355,59 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 59:[69, 3], Operations: ['74-15=59', '59-56=3']\nExploring Operation: 69/3=23, Resulting Numbers: [23]\n23,59 unequal: No Solution\nExploring Operation: 69+3=72, Resulting Numbers: [72]\n72,59 unequal: No Solution\nExploring Operation: 69*3=207, Resulting Numbers: [207]\n207,59 unequal: No Solution\nExploring Operation: 69-3=66, Resulting Numbers: [66]\n66,59 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 59:[74, 110], Operations: ['69-15=54', '56+54=110']\nExploring Operation: 74*110=8140, Resulting Numbers: [8140]\n8140,59 unequal: No Solution\nExploring Operation: 110-74=36, Resulting Numbers: [36]\n36,59 unequal: No Solution\nExploring Operation: 74+110=184, Resulting Numbers: [184]\n184,59 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 59:[69, 115], Operations: ['74-15=59', '56+59=115']\nExploring Operation: 69+115=184, Resulting Numbers: [184]\n184,59 unequal: No Solution\nExploring Operation: 69*115=7935, Resulting Numbers: [7935]\n7935,59 unequal: No Solution\nExploring Operation: 115-69=46, Resulting Numbers: [46]\n46,59 unequal: No Solution\nMoving to Node #0,4,3\nCurrent State: 59:[74, 110], Operations: ['56-15=41', '69+41=110']\nExploring Operation: 74*110=8140, Resulting Numbers: [8140]\n8140,59 unequal: No Solution\nExploring Operation: 74+110=184, Resulting Numbers: [184]\n184,59 unequal: No Solution\nExploring Operation: 110-74=36, Resulting Numbers: [36]\n36,59 unequal: No Solution\nMoving to Node #0,4,4\nCurrent State: 59:[41, 5], Operations: ['56-15=41', '74-69=5']\nExploring Operation: 41-5=36, Resulting Numbers: [36]\n36,59 unequal: No Solution\nExploring Operation: 41*5=205, Resulting Numbers: [205]\n205,59 unequal: No Solution\nExploring Operation: 41+5=46, Resulting Numbers: [46]\n46,59 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 59:[74, 2], Operations: ['56+15=71', '71-69=2']\nExploring Operation: 74+2=76, Resulting Numbers: [76]\n76,59 unequal: No Solution\nExploring Operation: 74/2=37, Resulting Numbers: [37]\n37,59 unequal: No Solution\nExploring Operation: 74-2=72, Resulting Numbers: [72]\n72,59 unequal: No Solution\nExploring Operation: 74*2=148, Resulting Numbers: [148]\n148,59 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 59:[56, 128], Operations: ['69-15=54', '74+54=128']\nExploring Operation: 56*128=7168, Resulting Numbers: [7168]\n7168,59 unequal: No Solution\nExploring Operation: 128-56=72, Resulting Numbers: [72]\n72,59 unequal: No Solution\nExploring Operation: 56+128=184, Resulting Numbers: [184]\n184,59 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 59:[74, 2], Operations: ['69-15=54', '56-54=2']\nExploring Operation: 74-2=72, Resulting Numbers: [72]\n72,59 unequal: No Solution\nExploring Operation: 74*2=148, Resulting Numbers: [148]\n148,59 unequal: No Solution\nExploring Operation: 74/2=37, Resulting Numbers: [37]\n37,59 unequal: No Solution\nExploring Operation: 74+2=76, Resulting Numbers: [76]\n76,59 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 59:[89, 13], Operations: ['74+15=89', '69-56=13']\nExploring Operation: 89+13=102, Resulting Numbers: [102]\n102,59 unequal: No Solution\nExploring Operation: 89-13=76, Resulting Numbers: [76]\n76,59 unequal: No Solution\nExploring Operation: 89*13=1157, Resulting Numbers: [1157]\n1157,59 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 59:[71, 143], Operations: ['56+15=71', '74+69=143']\nExploring Operation: 71+143=214, Resulting Numbers: [214]\n214,59 unequal: No Solution\nExploring Operation: 143-71=72, Resulting Numbers: [72]\n72,59 unequal: No Solution\nExploring Operation: 71*143=10153, Resulting Numbers: [10153]\n10153,59 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 59:[69, 145], Operations: ['74+15=89', '56+89=145']\nExploring Operation: 69+145=214, Resulting Numbers: [214]\n214,59 unequal: No Solution\nExploring Operation: 145-69=76, Resulting Numbers: [76]\n76,59 unequal: No Solution\nExploring Operation: 69*145=10005, Resulting Numbers: [10005]\n10005,59 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 59:[89, 125], Operations: ['74+15=89', '56+69=125']\nExploring Operation: 125-89=36, Resulting Numbers: [36]\n36,59 unequal: No Solution\nExploring Operation: 89*125=11125, Resulting Numbers: [11125]\n11125,59 unequal: No Solution\nExploring Operation: 89+125=214, Resulting Numbers: [214]\n214,59 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 59:[69, 145], Operations: ['56+15=71', '74+71=145']\nExploring Operation: 69+145=214, Resulting Numbers: [214]\n214,59 unequal: No Solution\nExploring Operation: 69*145=10005, Resulting Numbers: [10005]\n10005,59 unequal: No Solution\nExploring Operation: 145-69=76, Resulting Numbers: [76]\n76,59 unequal: No Solution\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [21, 43, 1, 4] using the four basic arithmetic operations (+, -, *, /) to reach 42.",
"role": "user"
},
{
"content": "Current State: 42:[21, 43, 1, 4], Operations: []\nExploring Operation: 21+1=22, Resulting Numbers: [43, 4, 22]\nGenerated Node #0,0: 42:[43, 4, 22] Operation: 21+1=22\nMoving to Node #0,0\nCurrent State: 42:[43, 4, 22], Operations: ['21+1=22']\nExploring Operation: 4+22=26, Resulting Numbers: [43, 26]\nGenerated Node #0,0,0: 42:[43, 26] Operation: 4+22=26\nMoving to Node #0,0,0\nCurrent State: 42:[43, 26], Operations: ['21+1=22', '4+22=26']\nExploring Operation: 43-26=17, Resulting Numbers: [17]\n17,42 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 42:[43, 26], Operations: ['21+1=22', '4+22=26']\nExploring Operation: 43+26=69, Resulting Numbers: [69]\n69,42 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 42:[43, 4, 22], Operations: ['21+1=22']\nExploring Operation: 43-4=39, Resulting Numbers: [22, 39]\nGenerated Node #0,0,1: 42:[22, 39] Operation: 43-4=39\nMoving to Node #0,0,1\nCurrent State: 42:[22, 39], Operations: ['21+1=22', '43-4=39']\nExploring Operation: 22+39=61, Resulting Numbers: [61]\n61,42 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 42:[22, 39], Operations: ['21+1=22', '43-4=39']\nExploring Operation: 39-22=17, Resulting Numbers: [17]\n17,42 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 42:[43, 4, 22], Operations: ['21+1=22']\nExploring Operation: 43+4=47, Resulting Numbers: [22, 47]\nGenerated Node #0,0,2: 42:[22, 47] Operation: 43+4=47\nMoving to Node #0,0,2\nCurrent State: 42:[22, 47], Operations: ['21+1=22', '43+4=47']\nExploring Operation: 47-22=25, Resulting Numbers: [25]\n25,42 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 42:[22, 47], Operations: ['21+1=22', '43+4=47']\nExploring Operation: 22+47=69, Resulting Numbers: [69]\n69,42 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 42:[43, 4, 22], Operations: ['21+1=22']\nExploring Operation: 22-4=18, Resulting Numbers: [43, 18]\nGenerated Node #0,0,3: 42:[43, 18] Operation: 22-4=18\nMoving to Node #0,0,3\nCurrent State: 42:[43, 18], Operations: ['21+1=22', '22-4=18']\nExploring Operation: 43-18=25, Resulting Numbers: [25]\n25,42 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 42:[43, 18], Operations: ['21+1=22', '22-4=18']\nExploring Operation: 43+18=61, Resulting Numbers: [61]\n61,42 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 42:[43, 4, 22], Operations: ['21+1=22']\nExploring Operation: 4*22=88, Resulting Numbers: [43, 88]\nGenerated Node #0,0,4: 42:[43, 88] Operation: 4*22=88\nMoving to Node #0,0,4\nCurrent State: 42:[43, 88], Operations: ['21+1=22', '4*22=88']\nExploring Operation: 88-43=45, Resulting Numbers: [45]\n45,42 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 42:[43, 4, 22], Operations: ['21+1=22']\nExploring Operation: 43-22=21, Resulting Numbers: [4, 21]\nGenerated Node #0,0,5: 42:[4, 21] Operation: 43-22=21\nMoving to Node #0,0,5\nCurrent State: 42:[4, 21], Operations: ['21+1=22', '43-22=21']\nExploring Operation: 4+21=25, Resulting Numbers: [25]\n25,42 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 42:[4, 21], Operations: ['21+1=22', '43-22=21']\nExploring Operation: 21-4=17, Resulting Numbers: [17]\n17,42 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 42:[4, 21], Operations: ['21+1=22', '43-22=21']\nExploring Operation: 4*21=84, Resulting Numbers: [84]\n84,42 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 42:[43, 4, 22], Operations: ['21+1=22']\nExploring Operation: 43+22=65, Resulting Numbers: [4, 65]\nGenerated Node #0,0,6: 42:[4, 65] Operation: 43+22=65\nMoving to Node #0,0,6\nCurrent State: 42:[4, 65], Operations: ['21+1=22', '43+22=65']\nExploring Operation: 65-4=61, Resulting Numbers: [61]\n61,42 unequal: No Solution\nMoving to Node #0,0,6\nCurrent State: 42:[4, 65], Operations: ['21+1=22', '43+22=65']\nExploring Operation: 4+65=69, Resulting Numbers: [69]\n69,42 unequal: No Solution\nMoving to Node #0\nCurrent State: 42:[21, 43, 1, 4], Operations: []\nExploring Operation: 21+4=25, Resulting Numbers: [43, 1, 25]\nGenerated Node #0,1: 42:[43, 1, 25] Operation: 21+4=25\nMoving to Node #0,1\nCurrent State: 42:[43, 1, 25], Operations: ['21+4=25']\nExploring Operation: 43-1=42, Resulting Numbers: [25, 42]\nGenerated Node #0,1,0: 42:[25, 42] Operation: 43-1=42\nMoving to Node #0,1,0\nCurrent State: 42:[25, 42], Operations: ['21+4=25', '43-1=42']\nExploring Operation: 25+42=67, Resulting Numbers: [67]\n67,42 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 42:[25, 42], Operations: ['21+4=25', '43-1=42']\nExploring Operation: 42-25=17, Resulting Numbers: [17]\n17,42 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 42:[43, 1, 25], Operations: ['21+4=25']\nExploring Operation: 1+25=26, Resulting Numbers: [43, 26]\nGenerated Node #0,1,1: 42:[43, 26] Operation: 1+25=26\nMoving to Node #0,1,1\nCurrent State: 42:[43, 26], Operations: ['21+4=25', '1+25=26']\nExploring Operation: 43-26=17, Resulting Numbers: [17]\n17,42 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 42:[43, 26], Operations: ['21+4=25', '1+25=26']\nExploring Operation: 43+26=69, Resulting Numbers: [69]\n69,42 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 42:[43, 1, 25], Operations: ['21+4=25']\nExploring Operation: 43*1=43, Resulting Numbers: [25, 43]\nGenerated Node #0,1,2: 42:[25, 43] Operation: 43*1=43\nMoving to Node #0,1,2\nCurrent State: 42:[25, 43], Operations: ['21+4=25', '43*1=43']\nExploring Operation: 43-25=18, Resulting Numbers: [18]\n18,42 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 42:[25, 43], Operations: ['21+4=25', '43*1=43']\nExploring Operation: 25+43=68, Resulting Numbers: [68]\n68,42 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 42:[43, 1, 25], Operations: ['21+4=25']\nExploring Operation: 43/1=43, Resulting Numbers: [25, 43]\nGenerated Node #0,1,3: 42:[25, 43] Operation: 43/1=43\nMoving to Node #0,1,3\nCurrent State: 42:[25, 43], Operations: ['21+4=25', '43/1=43']\nExploring Operation: 43-25=18, Resulting Numbers: [18]\n18,42 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 42:[25, 43], Operations: ['21+4=25', '43/1=43']\nExploring Operation: 25+43=68, Resulting Numbers: [68]\n68,42 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 42:[43, 1, 25], Operations: ['21+4=25']\nExploring Operation: 1*25=25, Resulting Numbers: [43, 25]\nGenerated Node #0,1,4: 42:[43, 25] Operation: 1*25=25\nMoving to Node #0,1,4\nCurrent State: 42:[43, 25], Operations: ['21+4=25', '1*25=25']\nExploring Operation: 43-25=18, Resulting Numbers: [18]\n18,42 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 42:[43, 25], Operations: ['21+4=25', '1*25=25']\nExploring Operation: 43+25=68, Resulting Numbers: [68]\n68,42 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 42:[43, 1, 25], Operations: ['21+4=25']\nExploring Operation: 25/1=25, Resulting Numbers: [43, 25]\nGenerated Node #0,1,5: 42:[43, 25] Operation: 25/1=25\nMoving to Node #0,1,5\nCurrent State: 42:[43, 25], Operations: ['21+4=25', '25/1=25']\nExploring Operation: 43-25=18, Resulting Numbers: [18]\n18,42 unequal: No Solution\nMoving to Node #0,1,5\nCurrent State: 42:[43, 25], Operations: ['21+4=25', '25/1=25']\nExploring Operation: 43+25=68, Resulting Numbers: [68]\n68,42 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 42:[43, 1, 25], Operations: ['21+4=25']\nExploring Operation: 43+1=44, Resulting Numbers: [25, 44]\nGenerated Node #0,1,6: 42:[25, 44] Operation: 43+1=44\nMoving to Node #0,1,6\nCurrent State: 42:[25, 44], Operations: ['21+4=25', '43+1=44']\nExploring Operation: 44-25=19, Resulting Numbers: [19]\n19,42 unequal: No Solution\nMoving to Node #0,1,6\nCurrent State: 42:[25, 44], Operations: ['21+4=25', '43+1=44']\nExploring Operation: 25+44=69, Resulting Numbers: [69]\n69,42 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 42:[43, 1, 25], Operations: ['21+4=25']\nExploring Operation: 25-1=24, Resulting Numbers: [43, 24]\nGenerated Node #0,1,7: 42:[43, 24] Operation: 25-1=24\nMoving to Node #0,1,7\nCurrent State: 42:[43, 24], Operations: ['21+4=25', '25-1=24']\nExploring Operation: 43-24=19, Resulting Numbers: [19]\n19,42 unequal: No Solution\nMoving to Node #0,1,7\nCurrent State: 42:[43, 24], Operations: ['21+4=25', '25-1=24']\nExploring Operation: 43+24=67, Resulting Numbers: [67]\n67,42 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 42:[43, 1, 25], Operations: ['21+4=25']\nExploring Operation: 43-25=18, Resulting Numbers: [1, 18]\nGenerated Node #0,1,8: 42:[1, 18] Operation: 43-25=18\nMoving to Node #0,1,8\nCurrent State: 42:[1, 18], Operations: ['21+4=25', '43-25=18']\nExploring Operation: 1+18=19, Resulting Numbers: [19]\n19,42 unequal: No Solution\nMoving to Node #0,1,8\nCurrent State: 42:[1, 18], Operations: ['21+4=25', '43-25=18']\nExploring Operation: 1*18=18, Resulting Numbers: [18]\n18,42 unequal: No Solution\nMoving to Node #0,1,8\nCurrent State: 42:[1, 18], Operations: ['21+4=25', '43-25=18']\nExploring Operation: 18/1=18, Resulting Numbers: [18]\n18,42 unequal: No Solution\nMoving to Node #0,1,8\nCurrent State: 42:[1, 18], Operations: ['21+4=25', '43-25=18']\nExploring Operation: 18-1=17, Resulting Numbers: [17]\n17,42 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 42:[43, 1, 25], Operations: ['21+4=25']\nExploring Operation: 43+25=68, Resulting Numbers: [1, 68]\nGenerated Node #0,1,9: 42:[1, 68] Operation: 43+25=68\nMoving to Node #0,1,9\nCurrent State: 42:[1, 68], Operations: ['21+4=25', '43+25=68']\nExploring Operation: 68-1=67, Resulting Numbers: [67]\n67,42 unequal: No Solution\nMoving to Node #0,1,9\nCurrent State: 42:[1, 68], Operations: ['21+4=25', '43+25=68']\nExploring Operation: 1*68=68, Resulting Numbers: [68]\n68,42 unequal: No Solution\nMoving to Node #0,1,9\nCurrent State: 42:[1, 68], Operations: ['21+4=25', '43+25=68']\nExploring Operation: 68/1=68, Resulting Numbers: [68]\n68,42 unequal: No Solution\nMoving to Node #0,1,9\nCurrent State: 42:[1, 68], Operations: ['21+4=25', '43+25=68']\nExploring Operation: 1+68=69, Resulting Numbers: [69]\n69,42 unequal: No Solution\nMoving to Node #0\nCurrent State: 42:[21, 43, 1, 4], Operations: []\nExploring Operation: 43-1=42, Resulting Numbers: [21, 4, 42]\nGenerated Node #0,2: 42:[21, 4, 42] Operation: 43-1=42\nMoving to Node #0,2\nCurrent State: 42:[21, 4, 42], Operations: ['43-1=42']\nExploring Operation: 21+4=25, Resulting Numbers: [42, 25]\nGenerated Node #0,2,0: 42:[42, 25] Operation: 21+4=25\nMoving to Node #0,2,0\nCurrent State: 42:[42, 25], Operations: ['43-1=42', '21+4=25']\nExploring Operation: 42+25=67, Resulting Numbers: [67]\n67,42 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 42:[42, 25], Operations: ['43-1=42', '21+4=25']\nExploring Operation: 42-25=17, Resulting Numbers: [17]\n17,42 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 42:[21, 4, 42], Operations: ['43-1=42']\nExploring Operation: 21-4=17, Resulting Numbers: [42, 17]\nGenerated Node #0,2,1: 42:[42, 17] Operation: 21-4=17\nMoving to Node #0,2,1\nCurrent State: 42:[42, 17], Operations: ['43-1=42', '21-4=17']\nExploring Operation: 42+17=59, Resulting Numbers: [59]\n59,42 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 42:[42, 17], Operations: ['43-1=42', '21-4=17']\nExploring Operation: 42-17=25, Resulting Numbers: [25]\n25,42 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 42:[21, 4, 42], Operations: ['43-1=42']\nExploring Operation: 4+42=46, Resulting Numbers: [21, 46]\nGenerated Node #0,2,2: 42:[21, 46] Operation: 4+42=46\nMoving to Node #0,2,2\nCurrent State: 42:[21, 46], Operations: ['43-1=42', '4+42=46']\nExploring Operation: 46-21=25, Resulting Numbers: [25]\n25,42 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 42:[21, 46], Operations: ['43-1=42', '4+42=46']\nExploring Operation: 21+46=67, Resulting Numbers: [67]\n67,42 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 42:[21, 4, 42], Operations: ['43-1=42']\nExploring Operation: 42-4=38, Resulting Numbers: [21, 38]\nGenerated Node #0,2,3: 42:[21, 38] Operation: 42-4=38\nMoving to Node #0,2,3\nCurrent State: 42:[21, 38], Operations: ['43-1=42', '42-4=38']\nExploring Operation: 21+38=59, Resulting Numbers: [59]\n59,42 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 42:[21, 38], Operations: ['43-1=42', '42-4=38']\nExploring Operation: 38-21=17, Resulting Numbers: [17]\n17,42 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 42:[21, 4, 42], Operations: ['43-1=42']\nExploring Operation: 21*4=84, Resulting Numbers: [42, 84]\nGenerated Node #0,2,4: 42:[42, 84] Operation: 21*4=84\nMoving to Node #0,2,4\nCurrent State: 42:[42, 84], Operations: ['43-1=42', '21*4=84']\nExploring Operation: 84-42=42, Resulting Numbers: [42]\n42,42 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [80, 90, 40, 67] using the four basic arithmetic operations (+, -, *, /) to reach 25.",
"role": "user"
},
{
"content": "Current State: 25:[80, 90, 40, 67], Operations: []\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [7, 98, 41, 29] using the four basic arithmetic operations (+, -, *, /) to reach 93.",
"role": "user"
},
{
"content": "Current State: 93:[7, 98, 41, 29], Operations: []\nExploring Operation: 41-7=34, Resulting Numbers: [98, 29, 34]\nGenerated Node #0,0: 93:[98, 29, 34] Operation: 41-7=34\nMoving to Node #0,0\nCurrent State: 93:[98, 29, 34], Operations: ['41-7=34']\nExploring Operation: 34-29=5, Resulting Numbers: [98, 5]\nGenerated Node #0,0,0: 93:[98, 5] Operation: 34-29=5\nMoving to Node #0,0,0\nCurrent State: 93:[98, 5], Operations: ['41-7=34', '34-29=5']\nExploring Operation: 98-5=93, Resulting Numbers: [93]\n93,93 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [91, 18, 86, 52] using the four basic arithmetic operations (+, -, *, /) to reach 38.",
"role": "user"
},
{
"content": "Current State: 38:[91, 18, 86, 52], Operations: []\nExploring Operation: 91-86=5, Resulting Numbers: [18, 52, 5]\nGenerated Node #0,0: 38:[18, 52, 5] Operation: 91-86=5\nMoving to Node #0,0\nCurrent State: 38:[18, 52, 5], Operations: ['91-86=5']\nExploring Operation: 52-18=34, Resulting Numbers: [5, 34]\nGenerated Node #0,0,0: 38:[5, 34] Operation: 52-18=34\nMoving to Node #0,0,0\nCurrent State: 38:[5, 34], Operations: ['91-86=5', '52-18=34']\nExploring Operation: 5+34=39, Resulting Numbers: [39]\n39,38 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 38:[5, 34], Operations: ['91-86=5', '52-18=34']\nExploring Operation: 34-5=29, Resulting Numbers: [29]\n29,38 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 38:[18, 52, 5], Operations: ['91-86=5']\nExploring Operation: 52-5=47, Resulting Numbers: [18, 47]\nGenerated Node #0,0,1: 38:[18, 47] Operation: 52-5=47\nMoving to Node #0,0,1\nCurrent State: 38:[18, 47], Operations: ['91-86=5', '52-5=47']\nExploring Operation: 47-18=29, Resulting Numbers: [29]\n29,38 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 38:[18, 47], Operations: ['91-86=5', '52-5=47']\nExploring Operation: 18+47=65, Resulting Numbers: [65]\n65,38 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 38:[18, 52, 5], Operations: ['91-86=5']\nExploring Operation: 18+5=23, Resulting Numbers: [52, 23]\nGenerated Node #0,0,2: 38:[52, 23] Operation: 18+5=23\nMoving to Node #0,0,2\nCurrent State: 38:[52, 23], Operations: ['91-86=5', '18+5=23']\nExploring Operation: 52-23=29, Resulting Numbers: [29]\n29,38 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 38:[52, 23], Operations: ['91-86=5', '18+5=23']\nExploring Operation: 52+23=75, Resulting Numbers: [75]\n75,38 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 38:[18, 52, 5], Operations: ['91-86=5']\nExploring Operation: 18-5=13, Resulting Numbers: [52, 13]\nGenerated Node #0,0,3: 38:[52, 13] Operation: 18-5=13\nMoving to Node #0,0,3\nCurrent State: 38:[52, 13], Operations: ['91-86=5', '18-5=13']\nExploring Operation: 52-13=39, Resulting Numbers: [39]\n39,38 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 38:[52, 13], Operations: ['91-86=5', '18-5=13']\nExploring Operation: 52/13=4, Resulting Numbers: [4]\n4,38 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 38:[52, 13], Operations: ['91-86=5', '18-5=13']\nExploring Operation: 52+13=65, Resulting Numbers: [65]\n65,38 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 38:[18, 52, 5], Operations: ['91-86=5']\nExploring Operation: 52+5=57, Resulting Numbers: [18, 57]\nGenerated Node #0,0,4: 38:[18, 57] Operation: 52+5=57\nMoving to Node #0,0,4\nCurrent State: 38:[18, 57], Operations: ['91-86=5', '52+5=57']\nExploring Operation: 57-18=39, Resulting Numbers: [39]\n39,38 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 38:[18, 57], Operations: ['91-86=5', '52+5=57']\nExploring Operation: 18+57=75, Resulting Numbers: [75]\n75,38 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 38:[18, 52, 5], Operations: ['91-86=5']\nExploring Operation: 18+52=70, Resulting Numbers: [5, 70]\nGenerated Node #0,0,5: 38:[5, 70] Operation: 18+52=70\nMoving to Node #0,0,5\nCurrent State: 38:[5, 70], Operations: ['91-86=5', '18+52=70']\nExploring Operation: 70/5=14, Resulting Numbers: [14]\n14,38 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 38:[5, 70], Operations: ['91-86=5', '18+52=70']\nExploring Operation: 70-5=65, Resulting Numbers: [65]\n65,38 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 38:[5, 70], Operations: ['91-86=5', '18+52=70']\nExploring Operation: 5+70=75, Resulting Numbers: [75]\n75,38 unequal: No Solution\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [48, 62, 9, 15] using the four basic arithmetic operations (+, -, *, /) to reach 25.",
"role": "user"
},
{
"content": "Current State: 25:[48, 62, 9, 15], Operations: []\nExploring Operation: 62-48=14, Resulting Numbers: [9, 15, 14]\nGenerated Node #0,0: 25:[9, 15, 14] Operation: 62-48=14\nExploring Operation: 48-9=39, Resulting Numbers: [62, 15, 39]\nGenerated Node #0,1: 25:[62, 15, 39] Operation: 48-9=39\nExploring Operation: 62-15=47, Resulting Numbers: [48, 9, 47]\nGenerated Node #0,2: 25:[48, 9, 47] Operation: 62-15=47\nExploring Operation: 48-15=33, Resulting Numbers: [62, 9, 33]\nGenerated Node #0,3: 25:[62, 9, 33] Operation: 48-15=33\nMoving to Node #0,0\nCurrent State: 25:[9, 15, 14], Operations: ['62-48=14']\nExploring Operation: 15-14=1, Resulting Numbers: [9, 1]\nGenerated Node #0,0,0: 25:[9, 1] Operation: 15-14=1\nExploring Operation: 15+14=29, Resulting Numbers: [9, 29]\nGenerated Node #0,0,1: 25:[9, 29] Operation: 15+14=29\nExploring Operation: 9+15=24, Resulting Numbers: [14, 24]\nGenerated Node #0,0,2: 25:[14, 24] Operation: 9+15=24\nExploring Operation: 15-9=6, Resulting Numbers: [14, 6]\nGenerated Node #0,0,3: 25:[14, 6] Operation: 15-9=6\nMoving to Node #0,3\nCurrent State: 25:[62, 9, 33], Operations: ['48-15=33']\nExploring Operation: 62-9=53, Resulting Numbers: [33, 53]\nGenerated Node #0,3,0: 25:[33, 53] Operation: 62-9=53\nExploring Operation: 62+9=71, Resulting Numbers: [33, 71]\nGenerated Node #0,3,1: 25:[33, 71] Operation: 62+9=71\nExploring Operation: 62-33=29, Resulting Numbers: [9, 29]\nGenerated Node #0,3,2: 25:[9, 29] Operation: 62-33=29\nExploring Operation: 33-9=24, Resulting Numbers: [62, 24]\nGenerated Node #0,3,3: 25:[62, 24] Operation: 33-9=24\nMoving to Node #0,2\nCurrent State: 25:[48, 9, 47], Operations: ['62-15=47']\nExploring Operation: 48-47=1, Resulting Numbers: [9, 1]\nGenerated Node #0,2,0: 25:[9, 1] Operation: 48-47=1\nExploring Operation: 47-9=38, Resulting Numbers: [48, 38]\nGenerated Node #0,2,1: 25:[48, 38] Operation: 47-9=38\nExploring Operation: 48-9=39, Resulting Numbers: [47, 39]\nGenerated Node #0,2,2: 25:[47, 39] Operation: 48-9=39\nExploring Operation: 48+9=57, Resulting Numbers: [47, 57]\nGenerated Node #0,2,3: 25:[47, 57] Operation: 48+9=57\nMoving to Node #0,1\nCurrent State: 25:[62, 15, 39], Operations: ['48-9=39']\nExploring Operation: 62+15=77, Resulting Numbers: [39, 77]\nGenerated Node #0,1,0: 25:[39, 77] Operation: 62+15=77\nExploring Operation: 39-15=24, Resulting Numbers: [62, 24]\nGenerated Node #0,1,1: 25:[62, 24] Operation: 39-15=24\nExploring Operation: 62-15=47, Resulting Numbers: [39, 47]\nGenerated Node #0,1,2: 25:[39, 47] Operation: 62-15=47\nExploring Operation: 62-39=23, Resulting Numbers: [15, 23]\nGenerated Node #0,1,3: 25:[15, 23] Operation: 62-39=23\nMoving to Node #0,0,0\nCurrent State: 25:[9, 1], Operations: ['62-48=14', '15-14=1']\nExploring Operation: 9*1=9, Resulting Numbers: [9]\n9,25 unequal: No Solution\nExploring Operation: 9/1=9, Resulting Numbers: [9]\n9,25 unequal: No Solution\nExploring Operation: 9+1=10, Resulting Numbers: [10]\n10,25 unequal: No Solution\nExploring Operation: 9-1=8, Resulting Numbers: [8]\n8,25 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 25:[9, 29], Operations: ['62-48=14', '15+14=29']\nExploring Operation: 9*29=261, Resulting Numbers: [261]\n261,25 unequal: No Solution\nExploring Operation: 29-9=20, Resulting Numbers: [20]\n20,25 unequal: No Solution\nExploring Operation: 9+29=38, Resulting Numbers: [38]\n38,25 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 25:[9, 29], Operations: ['48-15=33', '62-33=29']\nExploring Operation: 29-9=20, Resulting Numbers: [20]\n20,25 unequal: No Solution\nExploring Operation: 9*29=261, Resulting Numbers: [261]\n261,25 unequal: No Solution\nExploring Operation: 9+29=38, Resulting Numbers: [38]\n38,25 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 25:[9, 1], Operations: ['62-15=47', '48-47=1']\nExploring Operation: 9/1=9, Resulting Numbers: [9]\n9,25 unequal: No Solution\nExploring Operation: 9-1=8, Resulting Numbers: [8]\n8,25 unequal: No Solution\nExploring Operation: 9+1=10, Resulting Numbers: [10]\n10,25 unequal: No Solution\nExploring Operation: 9*1=9, Resulting Numbers: [9]\n9,25 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 25:[14, 24], Operations: ['62-48=14', '9+15=24']\nExploring Operation: 14*24=336, Resulting Numbers: [336]\n336,25 unequal: No Solution\nExploring Operation: 14+24=38, Resulting Numbers: [38]\n38,25 unequal: No Solution\nExploring Operation: 24-14=10, Resulting Numbers: [10]\n10,25 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 25:[14, 6], Operations: ['62-48=14', '15-9=6']\nExploring Operation: 14-6=8, Resulting Numbers: [8]\n8,25 unequal: No Solution\nExploring Operation: 14+6=20, Resulting Numbers: [20]\n20,25 unequal: No Solution\nExploring Operation: 14*6=84, Resulting Numbers: [84]\n84,25 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 25:[15, 23], Operations: ['48-9=39', '62-39=23']\nExploring Operation: 15+23=38, Resulting Numbers: [38]\n38,25 unequal: No Solution\nExploring Operation: 23-15=8, Resulting Numbers: [8]\n8,25 unequal: No Solution\nExploring Operation: 15*23=345, Resulting Numbers: [345]\n345,25 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 25:[39, 47], Operations: ['48-9=39', '62-15=47']\nExploring Operation: 47-39=8, Resulting Numbers: [8]\n8,25 unequal: No Solution\nExploring Operation: 39+47=86, Resulting Numbers: [86]\n86,25 unequal: No Solution\nExploring Operation: 39*47=1833, Resulting Numbers: [1833]\n1833,25 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 25:[33, 53], Operations: ['48-15=33', '62-9=53']\nExploring Operation: 33+53=86, Resulting Numbers: [86]\n86,25 unequal: No Solution\nExploring Operation: 33*53=1749, Resulting Numbers: [1749]\n1749,25 unequal: No Solution\nExploring Operation: 53-33=20, Resulting Numbers: [20]\n20,25 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 25:[47, 39], Operations: ['62-15=47', '48-9=39']\nExploring Operation: 47+39=86, Resulting Numbers: [86]\n86,25 unequal: No Solution\nExploring Operation: 47-39=8, Resulting Numbers: [8]\n8,25 unequal: No Solution\nExploring Operation: 47*39=1833, Resulting Numbers: [1833]\n1833,25 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 25:[48, 38], Operations: ['62-15=47', '47-9=38']\nExploring Operation: 48+38=86, Resulting Numbers: [86]\n86,25 unequal: No Solution\nExploring Operation: 48-38=10, Resulting Numbers: [10]\n10,25 unequal: No Solution\nExploring Operation: 48*38=1824, Resulting Numbers: [1824]\n1824,25 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 25:[62, 24], Operations: ['48-15=33', '33-9=24']\nExploring Operation: 62+24=86, Resulting Numbers: [86]\n86,25 unequal: No Solution\nExploring Operation: 62*24=1488, Resulting Numbers: [1488]\n1488,25 unequal: No Solution\nExploring Operation: 62-24=38, Resulting Numbers: [38]\n38,25 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 25:[62, 24], Operations: ['48-9=39', '39-15=24']\nExploring Operation: 62+24=86, Resulting Numbers: [86]\n86,25 unequal: No Solution\nExploring Operation: 62*24=1488, Resulting Numbers: [1488]\n1488,25 unequal: No Solution\nExploring Operation: 62-24=38, Resulting Numbers: [38]\n38,25 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 25:[47, 57], Operations: ['62-15=47', '48+9=57']\nExploring Operation: 47*57=2679, Resulting Numbers: [2679]\n2679,25 unequal: No Solution\nExploring Operation: 57-47=10, Resulting Numbers: [10]\n10,25 unequal: No Solution\nExploring Operation: 47+57=104, Resulting Numbers: [104]\n104,25 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 25:[33, 71], Operations: ['48-15=33', '62+9=71']\nExploring Operation: 71-33=38, Resulting Numbers: [38]\n38,25 unequal: No Solution\nExploring Operation: 33*71=2343, Resulting Numbers: [2343]\n2343,25 unequal: No Solution\nExploring Operation: 33+71=104, Resulting Numbers: [104]\n104,25 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 25:[39, 77], Operations: ['48-9=39', '62+15=77']\nExploring Operation: 77-39=38, Resulting Numbers: [38]\n38,25 unequal: No Solution\nExploring Operation: 39*77=3003, Resulting Numbers: [3003]\n3003,25 unequal: No Solution\nExploring Operation: 39+77=116, Resulting Numbers: [116]\n116,25 unequal: No Solution\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [12, 71, 58, 59] using the four basic arithmetic operations (+, -, *, /) to reach 58.",
"role": "user"
},
{
"content": "Current State: 58:[12, 71, 58, 59], Operations: []\nExploring Operation: 71-12=59, Resulting Numbers: [58, 59, 59]\nGenerated Node #0,0: 58:[58, 59, 59] Operation: 71-12=59\nMoving to Node #0,0\nCurrent State: 58:[58, 59, 59], Operations: ['71-12=59']\nExploring Operation: 59/59=1, Resulting Numbers: [58, 1]\nGenerated Node #0,0,0: 58:[58, 1] Operation: 59/59=1\nMoving to Node #0,0,0\nCurrent State: 58:[58, 1], Operations: ['71-12=59', '59/59=1']\nExploring Operation: 58*1=58, Resulting Numbers: [58]\n58,58 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [18, 20, 20, 34] using the four basic arithmetic operations (+, -, *, /) to reach 18.",
"role": "user"
},
{
"content": "Current State: 18:[18, 20, 20, 34], Operations: []\nExploring Operation: 20/20=1, Resulting Numbers: [18, 34, 1]\nGenerated Node #0,0: 18:[18, 34, 1] Operation: 20/20=1\nExploring Operation: 34-18=16, Resulting Numbers: [20, 20, 16]\nGenerated Node #0,1: 18:[20, 20, 16] Operation: 34-18=16\nExploring Operation: 34-20=14, Resulting Numbers: [18, 20, 14]\nGenerated Node #0,2: 18:[18, 20, 14] Operation: 34-20=14\nExploring Operation: 34-20=14, Resulting Numbers: [18, 20, 14]\nGenerated Node #0,3: 18:[18, 20, 14] Operation: 34-20=14\nExploring Operation: 20-18=2, Resulting Numbers: [20, 34, 2]\nGenerated Node #0,4: 18:[20, 34, 2] Operation: 20-18=2\nMoving to Node #0,1\nCurrent State: 18:[20, 20, 16], Operations: ['34-18=16']\nExploring Operation: 20-20=0, Resulting Numbers: [16, 0]\nGenerated Node #0,1,0: 18:[16, 0] Operation: 20-20=0\nExploring Operation: 20+16=36, Resulting Numbers: [20, 36]\nGenerated Node #0,1,1: 18:[20, 36] Operation: 20+16=36\nExploring Operation: 20-16=4, Resulting Numbers: [20, 4]\nGenerated Node #0,1,2: 18:[20, 4] Operation: 20-16=4\nExploring Operation: 20/20=1, Resulting Numbers: [16, 1]\nGenerated Node #0,1,3: 18:[16, 1] Operation: 20/20=1\nExploring Operation: 20-16=4, Resulting Numbers: [20, 4]\nGenerated Node #0,1,4: 18:[20, 4] Operation: 20-16=4\nMoving to Node #0,3\nCurrent State: 18:[18, 20, 14], Operations: ['34-20=14']\nExploring Operation: 20-18=2, Resulting Numbers: [14, 2]\nGenerated Node #0,3,0: 18:[14, 2] Operation: 20-18=2\nExploring Operation: 18+14=32, Resulting Numbers: [20, 32]\nGenerated Node #0,3,1: 18:[20, 32] Operation: 18+14=32\nExploring Operation: 18-14=4, Resulting Numbers: [20, 4]\nGenerated Node #0,3,2: 18:[20, 4] Operation: 18-14=4\nExploring Operation: 20+14=34, Resulting Numbers: [18, 34]\nGenerated Node #0,3,3: 18:[18, 34] Operation: 20+14=34\nExploring Operation: 20-14=6, Resulting Numbers: [18, 6]\nGenerated Node #0,3,4: 18:[18, 6] Operation: 20-14=6\nMoving to Node #0,2\nCurrent State: 18:[18, 20, 14], Operations: ['34-20=14']\nExploring Operation: 18-14=4, Resulting Numbers: [20, 4]\nGenerated Node #0,2,0: 18:[20, 4] Operation: 18-14=4\nExploring Operation: 20-14=6, Resulting Numbers: [18, 6]\nGenerated Node #0,2,1: 18:[18, 6] Operation: 20-14=6\nExploring Operation: 20-18=2, Resulting Numbers: [14, 2]\nGenerated Node #0,2,2: 18:[14, 2] Operation: 20-18=2\nExploring Operation: 18+14=32, Resulting Numbers: [20, 32]\nGenerated Node #0,2,3: 18:[20, 32] Operation: 18+14=32\nExploring Operation: 20+14=34, Resulting Numbers: [18, 34]\nGenerated Node #0,2,4: 18:[18, 34] Operation: 20+14=34\nMoving to Node #0,0\nCurrent State: 18:[18, 34, 1], Operations: ['20/20=1']\nExploring Operation: 18*1=18, Resulting Numbers: [34, 18]\nGenerated Node #0,0,0: 18:[34, 18] Operation: 18*1=18\nExploring Operation: 34-18=16, Resulting Numbers: [1, 16]\nGenerated Node #0,0,1: 18:[1, 16] Operation: 34-18=16\nExploring Operation: 18/1=18, Resulting Numbers: [34, 18]\nGenerated Node #0,0,2: 18:[34, 18] Operation: 18/1=18\nExploring Operation: 34*1=34, Resulting Numbers: [18, 34]\nGenerated Node #0,0,3: 18:[18, 34] Operation: 34*1=34\nExploring Operation: 34-1=33, Resulting Numbers: [18, 33]\nGenerated Node #0,0,4: 18:[18, 33] Operation: 34-1=33\nMoving to Node #0,4\nCurrent State: 18:[20, 34, 2], Operations: ['20-18=2']\nExploring Operation: 34/2=17, Resulting Numbers: [20, 17]\nGenerated Node #0,4,0: 18:[20, 17] Operation: 34/2=17\nExploring Operation: 34-20=14, Resulting Numbers: [2, 14]\nGenerated Node #0,4,1: 18:[2, 14] Operation: 34-20=14\nExploring Operation: 34-2=32, Resulting Numbers: [20, 32]\nGenerated Node #0,4,2: 18:[20, 32] Operation: 34-2=32\nExploring Operation: 20/2=10, Resulting Numbers: [34, 10]\nGenerated Node #0,4,3: 18:[34, 10] Operation: 20/2=10\nExploring Operation: 20-2=18, Resulting Numbers: [34, 18]\nGenerated Node #0,4,4: 18:[34, 18] Operation: 20-2=18\nMoving to Node #0,3,4\nCurrent State: 18:[18, 6], Operations: ['34-20=14', '20-14=6']\nExploring Operation: 18+6=24, Resulting Numbers: [24]\n24,18 unequal: No Solution\nExploring Operation: 18-6=12, Resulting Numbers: [12]\n12,18 unequal: No Solution\nExploring Operation: 18*6=108, Resulting Numbers: [108]\n108,18 unequal: No Solution\nExploring Operation: 18/6=3, Resulting Numbers: [3]\n3,18 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 18:[18, 6], Operations: ['34-20=14', '20-14=6']\nExploring Operation: 18-6=12, Resulting Numbers: [12]\n12,18 unequal: No Solution\nExploring Operation: 18/6=3, Resulting Numbers: [3]\n3,18 unequal: No Solution\nExploring Operation: 18+6=24, Resulting Numbers: [24]\n24,18 unequal: No Solution\nExploring Operation: 18*6=108, Resulting Numbers: [108]\n108,18 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 18:[20, 4], Operations: ['34-18=16', '20-16=4']\nExploring Operation: 20-4=16, Resulting Numbers: [16]\n16,18 unequal: No Solution\nExploring Operation: 20*4=80, Resulting Numbers: [80]\n80,18 unequal: No Solution\nExploring Operation: 20/4=5, Resulting Numbers: [5]\n5,18 unequal: No Solution\nExploring Operation: 20+4=24, Resulting Numbers: [24]\n24,18 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 18:[20, 4], Operations: ['34-20=14', '18-14=4']\nExploring Operation: 20+4=24, Resulting Numbers: [24]\n24,18 unequal: No Solution\nExploring Operation: 20/4=5, Resulting Numbers: [5]\n5,18 unequal: No Solution\nExploring Operation: 20*4=80, Resulting Numbers: [80]\n80,18 unequal: No Solution\nExploring Operation: 20-4=16, Resulting Numbers: [16]\n16,18 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 18:[20, 4], Operations: ['34-18=16', '20-16=4']\nExploring Operation: 20/4=5, Resulting Numbers: [5]\n5,18 unequal: No Solution\nExploring Operation: 20+4=24, Resulting Numbers: [24]\n24,18 unequal: No Solution\nExploring Operation: 20-4=16, Resulting Numbers: [16]\n16,18 unequal: No Solution\nExploring Operation: 20*4=80, Resulting Numbers: [80]\n80,18 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 18:[20, 4], Operations: ['34-20=14', '18-14=4']\nExploring Operation: 20-4=16, Resulting Numbers: [16]\n16,18 unequal: No Solution\nExploring Operation: 20/4=5, Resulting Numbers: [5]\n5,18 unequal: No Solution\nExploring Operation: 20*4=80, Resulting Numbers: [80]\n80,18 unequal: No Solution\nExploring Operation: 20+4=24, Resulting Numbers: [24]\n24,18 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 18:[16, 1], Operations: ['34-18=16', '20/20=1']\nExploring Operation: 16+1=17, Resulting Numbers: [17]\n17,18 unequal: No Solution\nExploring Operation: 16/1=16, Resulting Numbers: [16]\n16,18 unequal: No Solution\nExploring Operation: 16*1=16, Resulting Numbers: [16]\n16,18 unequal: No Solution\nExploring Operation: 16-1=15, Resulting Numbers: [15]\n15,18 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 18:[20, 17], Operations: ['20-18=2', '34/2=17']\nExploring Operation: 20+17=37, Resulting Numbers: [37]\n37,18 unequal: No Solution\nExploring Operation: 20-17=3, Resulting Numbers: [3]\n3,18 unequal: No Solution\nExploring Operation: 20*17=340, Resulting Numbers: [340]\n340,18 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 18:[1, 16], Operations: ['20/20=1', '34-18=16']\nExploring Operation: 1+16=17, Resulting Numbers: [17]\n17,18 unequal: No Solution\nExploring Operation: 1*16=16, Resulting Numbers: [16]\n16,18 unequal: No Solution\nExploring Operation: 16-1=15, Resulting Numbers: [15]\n15,18 unequal: No Solution\nExploring Operation: 16/1=16, Resulting Numbers: [16]\n16,18 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 18:[14, 2], Operations: ['34-20=14', '20-18=2']\nExploring Operation: 14-2=12, Resulting Numbers: [12]\n12,18 unequal: No Solution\nExploring Operation: 14+2=16, Resulting Numbers: [16]\n16,18 unequal: No Solution\nExploring Operation: 14/2=7, Resulting Numbers: [7]\n7,18 unequal: No Solution\nExploring Operation: 14*2=28, Resulting Numbers: [28]\n28,18 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 18:[2, 14], Operations: ['20-18=2', '34-20=14']\nExploring Operation: 2*14=28, Resulting Numbers: [28]\n28,18 unequal: No Solution\nExploring Operation: 2+14=16, Resulting Numbers: [16]\n16,18 unequal: No Solution\nExploring Operation: 14-2=12, Resulting Numbers: [12]\n12,18 unequal: No Solution\nExploring Operation: 14/2=7, Resulting Numbers: [7]\n7,18 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 18:[16, 0], Operations: ['34-18=16', '20-20=0']\nExploring Operation: 16*0=0, Resulting Numbers: [0]\n0,18 unequal: No Solution\nExploring Operation: 16+0=16, Resulting Numbers: [16]\n16,18 unequal: No Solution\nExploring Operation: 16-0=16, Resulting Numbers: [16]\n16,18 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 18:[14, 2], Operations: ['34-20=14', '20-18=2']\nExploring Operation: 14*2=28, Resulting Numbers: [28]\n28,18 unequal: No Solution\nExploring Operation: 14+2=16, Resulting Numbers: [16]\n16,18 unequal: No Solution\nExploring Operation: 14-2=12, Resulting Numbers: [12]\n12,18 unequal: No Solution\nExploring Operation: 14/2=7, Resulting Numbers: [7]\n7,18 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 18:[18, 33], Operations: ['20/20=1', '34-1=33']\nExploring Operation: 33-18=15, Resulting Numbers: [15]\n15,18 unequal: No Solution\nExploring Operation: 18*33=594, Resulting Numbers: [594]\n594,18 unequal: No Solution\nExploring Operation: 18+33=51, Resulting Numbers: [51]\n51,18 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 18:[18, 34], Operations: ['34-20=14', '20+14=34']\nExploring Operation: 34-18=16, Resulting Numbers: [16]\n16,18 unequal: No Solution\nExploring Operation: 18*34=612, Resulting Numbers: [612]\n612,18 unequal: No Solution\nExploring Operation: 18+34=52, Resulting Numbers: [52]\n52,18 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 18:[18, 34], Operations: ['34-20=14', '20+14=34']\nExploring Operation: 34-18=16, Resulting Numbers: [16]\n16,18 unequal: No Solution\nExploring Operation: 18+34=52, Resulting Numbers: [52]\n52,18 unequal: No Solution\nExploring Operation: 18*34=612, Resulting Numbers: [612]\n612,18 unequal: No Solution\nMoving to Node #0,4,2\nCurrent State: 18:[20, 32], Operations: ['20-18=2', '34-2=32']\nExploring Operation: 32-20=12, Resulting Numbers: [12]\n12,18 unequal: No Solution\nExploring Operation: 20*32=640, Resulting Numbers: [640]\n640,18 unequal: No Solution\nExploring Operation: 20+32=52, Resulting Numbers: [52]\n52,18 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 18:[20, 32], Operations: ['34-20=14', '18+14=32']\nExploring Operation: 20*32=640, Resulting Numbers: [640]\n640,18 unequal: No Solution\nExploring Operation: 20+32=52, Resulting Numbers: [52]\n52,18 unequal: No Solution\nExploring Operation: 32-20=12, Resulting Numbers: [12]\n12,18 unequal: No Solution\nMoving to Node #0,4,4\nCurrent State: 18:[34, 18], Operations: ['20-18=2', '20-2=18']\nExploring Operation: 34-18=16, Resulting Numbers: [16]\n16,18 unequal: No Solution\nExploring Operation: 34+18=52, Resulting Numbers: [52]\n52,18 unequal: No Solution\nExploring Operation: 34*18=612, Resulting Numbers: [612]\n612,18 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 18:[34, 18], Operations: ['20/20=1', '18/1=18']\nExploring Operation: 34+18=52, Resulting Numbers: [52]\n52,18 unequal: No Solution\nExploring Operation: 34-18=16, Resulting Numbers: [16]\n16,18 unequal: No Solution\nExploring Operation: 34*18=612, Resulting Numbers: [612]\n612,18 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 18:[18, 34], Operations: ['20/20=1', '34*1=34']\nExploring Operation: 34-18=16, Resulting Numbers: [16]\n16,18 unequal: No Solution\nExploring Operation: 18*34=612, Resulting Numbers: [612]\n612,18 unequal: No Solution\nExploring Operation: 18+34=52, Resulting Numbers: [52]\n52,18 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 18:[34, 18], Operations: ['20/20=1', '18*1=18']\nExploring Operation: 34-18=16, Resulting Numbers: [16]\n16,18 unequal: No Solution\nExploring Operation: 34+18=52, Resulting Numbers: [52]\n52,18 unequal: No Solution\nExploring Operation: 34*18=612, Resulting Numbers: [612]\n612,18 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 18:[20, 32], Operations: ['34-20=14', '18+14=32']\nExploring Operation: 20+32=52, Resulting Numbers: [52]\n52,18 unequal: No Solution\nExploring Operation: 32-20=12, Resulting Numbers: [12]\n12,18 unequal: No Solution\nExploring Operation: 20*32=640, Resulting Numbers: [640]\n640,18 unequal: No Solution\nMoving to Node #0,4,3\nCurrent State: 18:[34, 10], Operations: ['20-18=2', '20/2=10']\nExploring Operation: 34+10=44, Resulting Numbers: [44]\n44,18 unequal: No Solution\nExploring Operation: 34-10=24, Resulting Numbers: [24]\n24,18 unequal: No Solution\nExploring Operation: 34*10=340, Resulting Numbers: [340]\n340,18 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 18:[20, 36], Operations: ['34-18=16', '20+16=36']\nExploring Operation: 20*36=720, Resulting Numbers: [720]\n720,18 unequal: No Solution\nExploring Operation: 20+36=56, Resulting Numbers: [56]\n56,18 unequal: No Solution\nExploring Operation: 36-20=16, Resulting Numbers: [16]\n16,18 unequal: No Solution\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [67, 39, 67, 27] using the four basic arithmetic operations (+, -, *, /) to reach 12.",
"role": "user"
},
{
"content": "Current State: 12:[67, 39, 67, 27], Operations: []\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [50, 1, 68, 26] using the four basic arithmetic operations (+, -, *, /) to reach 93.",
"role": "user"
},
{
"content": "Current State: 93:[50, 1, 68, 26], Operations: []\nExploring Operation: 68-50=18, Resulting Numbers: [1, 26, 18]\nGenerated Node #0,0: 93:[1, 26, 18] Operation: 68-50=18\nExploring Operation: 68+26=94, Resulting Numbers: [50, 1, 94]\nGenerated Node #0,1: 93:[50, 1, 94] Operation: 68+26=94\nMoving to Node #0,0\nCurrent State: 93:[1, 26, 18], Operations: ['68-50=18']\nExploring Operation: 26+18=44, Resulting Numbers: [1, 44]\nGenerated Node #0,0,0: 93:[1, 44] Operation: 26+18=44\nExploring Operation: 26-18=8, Resulting Numbers: [1, 8]\nGenerated Node #0,0,1: 93:[1, 8] Operation: 26-18=8\nMoving to Node #0,1\nCurrent State: 93:[50, 1, 94], Operations: ['68+26=94']\nExploring Operation: 94-50=44, Resulting Numbers: [1, 44]\nGenerated Node #0,1,0: 93:[1, 44] Operation: 94-50=44\nExploring Operation: 50-1=49, Resulting Numbers: [94, 49]\nGenerated Node #0,1,1: 93:[94, 49] Operation: 50-1=49\nMoving to Node #0,0,1\nCurrent State: 93:[1, 8], Operations: ['68-50=18', '26-18=8']\nExploring Operation: 1*8=8, Resulting Numbers: [8]\n8,93 unequal: No Solution\nExploring Operation: 8-1=7, Resulting Numbers: [7]\n7,93 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 93:[1, 44], Operations: ['68+26=94', '94-50=44']\nExploring Operation: 1*44=44, Resulting Numbers: [44]\n44,93 unequal: No Solution\nExploring Operation: 44-1=43, Resulting Numbers: [43]\n43,93 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 93:[1, 44], Operations: ['68-50=18', '26+18=44']\nExploring Operation: 1*44=44, Resulting Numbers: [44]\n44,93 unequal: No Solution\nExploring Operation: 44-1=43, Resulting Numbers: [43]\n43,93 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 93:[94, 49], Operations: ['68+26=94', '50-1=49']\nExploring Operation: 94+49=143, Resulting Numbers: [143]\n143,93 unequal: No Solution\nExploring Operation: 94-49=45, Resulting Numbers: [45]\n45,93 unequal: No Solution\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [67, 1, 60, 50] using the four basic arithmetic operations (+, -, *, /) to reach 44.",
"role": "user"
},
{
"content": "Current State: 44:[67, 1, 60, 50], Operations: []\nExploring Operation: 50-1=49, Resulting Numbers: [67, 60, 49]\nGenerated Node #0,0: 44:[67, 60, 49] Operation: 50-1=49\nExploring Operation: 67*1=67, Resulting Numbers: [60, 50, 67]\nGenerated Node #0,1: 44:[60, 50, 67] Operation: 67*1=67\nExploring Operation: 60-1=59, Resulting Numbers: [67, 50, 59]\nGenerated Node #0,2: 44:[67, 50, 59] Operation: 60-1=59\nExploring Operation: 67-1=66, Resulting Numbers: [60, 50, 66]\nGenerated Node #0,3: 44:[60, 50, 66] Operation: 67-1=66\nMoving to Node #0,0\nCurrent State: 44:[67, 60, 49], Operations: ['50-1=49']\nExploring Operation: 67+60=127, Resulting Numbers: [49, 127]\nGenerated Node #0,0,0: 44:[49, 127] Operation: 67+60=127\nExploring Operation: 67-60=7, Resulting Numbers: [49, 7]\nGenerated Node #0,0,1: 44:[49, 7] Operation: 67-60=7\nExploring Operation: 60-49=11, Resulting Numbers: [67, 11]\nGenerated Node #0,0,2: 44:[67, 11] Operation: 60-49=11\nExploring Operation: 67-49=18, Resulting Numbers: [60, 18]\nGenerated Node #0,0,3: 44:[60, 18] Operation: 67-49=18\nMoving to Node #0,3\nCurrent State: 44:[60, 50, 66], Operations: ['67-1=66']\nExploring Operation: 60-50=10, Resulting Numbers: [66, 10]\nGenerated Node #0,3,0: 44:[66, 10] Operation: 60-50=10\nExploring Operation: 66-60=6, Resulting Numbers: [50, 6]\nGenerated Node #0,3,1: 44:[50, 6] Operation: 66-60=6\nExploring Operation: 60+50=110, Resulting Numbers: [66, 110]\nGenerated Node #0,3,2: 44:[66, 110] Operation: 60+50=110\nExploring Operation: 66-50=16, Resulting Numbers: [60, 16]\nGenerated Node #0,3,3: 44:[60, 16] Operation: 66-50=16\nMoving to Node #0,2\nCurrent State: 44:[67, 50, 59], Operations: ['60-1=59']\nExploring Operation: 59-50=9, Resulting Numbers: [67, 9]\nGenerated Node #0,2,0: 44:[67, 9] Operation: 59-50=9\nExploring Operation: 67+50=117, Resulting Numbers: [59, 117]\nGenerated Node #0,2,1: 44:[59, 117] Operation: 67+50=117\nExploring Operation: 67-50=17, Resulting Numbers: [59, 17]\nGenerated Node #0,2,2: 44:[59, 17] Operation: 67-50=17\nExploring Operation: 67-59=8, Resulting Numbers: [50, 8]\nGenerated Node #0,2,3: 44:[50, 8] Operation: 67-59=8\nMoving to Node #0,1\nCurrent State: 44:[60, 50, 67], Operations: ['67*1=67']\nExploring Operation: 67-60=7, Resulting Numbers: [50, 7]\nGenerated Node #0,1,0: 44:[50, 7] Operation: 67-60=7\nExploring Operation: 67-50=17, Resulting Numbers: [60, 17]\nGenerated Node #0,1,1: 44:[60, 17] Operation: 67-50=17\nExploring Operation: 60-50=10, Resulting Numbers: [67, 10]\nGenerated Node #0,1,2: 44:[67, 10] Operation: 60-50=10\nExploring Operation: 60+50=110, Resulting Numbers: [67, 110]\nGenerated Node #0,1,3: 44:[67, 110] Operation: 60+50=110\nMoving to Node #0,0,1\nCurrent State: 44:[49, 7], Operations: ['50-1=49', '67-60=7']\nExploring Operation: 49*7=343, Resulting Numbers: [343]\n343,44 unequal: No Solution\nExploring Operation: 49+7=56, Resulting Numbers: [56]\n56,44 unequal: No Solution\nExploring Operation: 49/7=7, Resulting Numbers: [7]\n7,44 unequal: No Solution\nExploring Operation: 49-7=42, Resulting Numbers: [42]\n42,44 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 44:[60, 18], Operations: ['50-1=49', '67-49=18']\nExploring Operation: 60-18=42, Resulting Numbers: [42]\n42,44 unequal: No Solution\nExploring Operation: 60+18=78, Resulting Numbers: [78]\n78,44 unequal: No Solution\nExploring Operation: 60*18=1080, Resulting Numbers: [1080]\n1080,44 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 44:[50, 8], Operations: ['60-1=59', '67-59=8']\nExploring Operation: 50*8=400, Resulting Numbers: [400]\n400,44 unequal: No Solution\nExploring Operation: 50-8=42, Resulting Numbers: [42]\n42,44 unequal: No Solution\nExploring Operation: 50+8=58, Resulting Numbers: [58]\n58,44 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 44:[59, 17], Operations: ['60-1=59', '67-50=17']\nExploring Operation: 59-17=42, Resulting Numbers: [42]\n42,44 unequal: No Solution\nExploring Operation: 59*17=1003, Resulting Numbers: [1003]\n1003,44 unequal: No Solution\nExploring Operation: 59+17=76, Resulting Numbers: [76]\n76,44 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 44:[50, 7], Operations: ['67*1=67', '67-60=7']\nExploring Operation: 50+7=57, Resulting Numbers: [57]\n57,44 unequal: No Solution\nExploring Operation: 50*7=350, Resulting Numbers: [350]\n350,44 unequal: No Solution\nExploring Operation: 50-7=43, Resulting Numbers: [43]\n43,44 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 44:[60, 17], Operations: ['67*1=67', '67-50=17']\nExploring Operation: 60-17=43, Resulting Numbers: [43]\n43,44 unequal: No Solution\nExploring Operation: 60*17=1020, Resulting Numbers: [1020]\n1020,44 unequal: No Solution\nExploring Operation: 60+17=77, Resulting Numbers: [77]\n77,44 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 44:[60, 16], Operations: ['67-1=66', '66-50=16']\nExploring Operation: 60-16=44, Resulting Numbers: [44]\n44,44 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [7, 79, 69, 35] using the four basic arithmetic operations (+, -, *, /) to reach 18.",
"role": "user"
},
{
"content": "Current State: 18:[7, 79, 69, 35], Operations: []\nExploring Operation: 79-69=10, Resulting Numbers: [7, 35, 10]\nGenerated Node #0,0: 18:[7, 35, 10] Operation: 79-69=10\nMoving to Node #0,0\nCurrent State: 18:[7, 35, 10], Operations: ['79-69=10']\nExploring Operation: 35-7=28, Resulting Numbers: [10, 28]\nGenerated Node #0,0,0: 18:[10, 28] Operation: 35-7=28\nMoving to Node #0,0,0\nCurrent State: 18:[10, 28], Operations: ['79-69=10', '35-7=28']\nExploring Operation: 28-10=18, Resulting Numbers: [18]\n18,18 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [76, 32, 60, 72] using the four basic arithmetic operations (+, -, *, /) to reach 40.",
"role": "user"
},
{
"content": "Current State: 40:[76, 32, 60, 72], Operations: []\nExploring Operation: 76-72=4, Resulting Numbers: [32, 60, 4]\nGenerated Node #0,0: 40:[32, 60, 4] Operation: 76-72=4\nMoving to Node #0,0\nCurrent State: 40:[32, 60, 4], Operations: ['76-72=4']\nExploring Operation: 60-32=28, Resulting Numbers: [4, 28]\nGenerated Node #0,0,0: 40:[4, 28] Operation: 60-32=28\nMoving to Node #0,0,0\nCurrent State: 40:[4, 28], Operations: ['76-72=4', '60-32=28']\nExploring Operation: 28/4=7, Resulting Numbers: [7]\n7,40 unequal: No Solution\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [44, 6, 38, 88] using the four basic arithmetic operations (+, -, *, /) to reach 88.",
"role": "user"
},
{
"content": "Current State: 88:[44, 6, 38, 88], Operations: []\nExploring Operation: 6+38=44, Resulting Numbers: [44, 88, 44]\nGenerated Node #0,0: 88:[44, 88, 44] Operation: 6+38=44\nMoving to Node #0,0\nCurrent State: 88:[44, 88, 44], Operations: ['6+38=44']\nExploring Operation: 88-44=44, Resulting Numbers: [44, 44]\nGenerated Node #0,0,0: 88:[44, 44] Operation: 88-44=44\nMoving to Node #0,0,0\nCurrent State: 88:[44, 44], Operations: ['6+38=44', '88-44=44']\nExploring Operation: 44+44=88, Resulting Numbers: [88]\n88,88 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [2, 33, 53, 71] using the four basic arithmetic operations (+, -, *, /) to reach 23.",
"role": "user"
},
{
"content": "Current State: 23:[2, 33, 53, 71], Operations: []\nExploring Operation: 71-53=18, Resulting Numbers: [2, 33, 18]\nGenerated Node #0,0: 23:[2, 33, 18] Operation: 71-53=18\nMoving to Node #0,0\nCurrent State: 23:[2, 33, 18], Operations: ['71-53=18']\nExploring Operation: 33-2=31, Resulting Numbers: [18, 31]\nGenerated Node #0,0,0: 23:[18, 31] Operation: 33-2=31\nMoving to Node #0,0,0\nCurrent State: 23:[18, 31], Operations: ['71-53=18', '33-2=31']\nExploring Operation: 31-18=13, Resulting Numbers: [13]\n13,23 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 23:[2, 33, 18], Operations: ['71-53=18']\nExploring Operation: 2+18=20, Resulting Numbers: [33, 20]\nGenerated Node #0,0,1: 23:[33, 20] Operation: 2+18=20\nMoving to Node #0,0,1\nCurrent State: 23:[33, 20], Operations: ['71-53=18', '2+18=20']\nExploring Operation: 33-20=13, Resulting Numbers: [13]\n13,23 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 23:[2, 33, 18], Operations: ['71-53=18']\nExploring Operation: 2+33=35, Resulting Numbers: [18, 35]\nGenerated Node #0,0,2: 23:[18, 35] Operation: 2+33=35\nMoving to Node #0,0,2\nCurrent State: 23:[18, 35], Operations: ['71-53=18', '2+33=35']\nExploring Operation: 35-18=17, Resulting Numbers: [17]\n17,23 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 23:[2, 33, 18], Operations: ['71-53=18']\nExploring Operation: 18-2=16, Resulting Numbers: [33, 16]\nGenerated Node #0,0,3: 23:[33, 16] Operation: 18-2=16\nMoving to Node #0,0,3\nCurrent State: 23:[33, 16], Operations: ['71-53=18', '18-2=16']\nExploring Operation: 33-16=17, Resulting Numbers: [17]\n17,23 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 23:[2, 33, 18], Operations: ['71-53=18']\nExploring Operation: 2*18=36, Resulting Numbers: [33, 36]\nGenerated Node #0,0,4: 23:[33, 36] Operation: 2*18=36\nMoving to Node #0,0,4\nCurrent State: 23:[33, 36], Operations: ['71-53=18', '2*18=36']\nExploring Operation: 36-33=3, Resulting Numbers: [3]\n3,23 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 23:[2, 33, 18], Operations: ['71-53=18']\nExploring Operation: 18/2=9, Resulting Numbers: [33, 9]\nGenerated Node #0,0,5: 23:[33, 9] Operation: 18/2=9\nMoving to Node #0,0,5\nCurrent State: 23:[33, 9], Operations: ['71-53=18', '18/2=9']\nExploring Operation: 33-9=24, Resulting Numbers: [24]\n24,23 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 23:[33, 9], Operations: ['71-53=18', '18/2=9']\nExploring Operation: 33+9=42, Resulting Numbers: [42]\n42,23 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 23:[2, 33, 18], Operations: ['71-53=18']\nExploring Operation: 33-18=15, Resulting Numbers: [2, 15]\nGenerated Node #0,0,6: 23:[2, 15] Operation: 33-18=15\nMoving to Node #0,0,6\nCurrent State: 23:[2, 15], Operations: ['71-53=18', '33-18=15']\nExploring Operation: 2+15=17, Resulting Numbers: [17]\n17,23 unequal: No Solution\nMoving to Node #0,0,6\nCurrent State: 23:[2, 15], Operations: ['71-53=18', '33-18=15']\nExploring Operation: 2*15=30, Resulting Numbers: [30]\n30,23 unequal: No Solution\nMoving to Node #0,0,6\nCurrent State: 23:[2, 15], Operations: ['71-53=18', '33-18=15']\nExploring Operation: 15-2=13, Resulting Numbers: [13]\n13,23 unequal: No Solution\nMoving to Node #0\nCurrent State: 23:[2, 33, 53, 71], Operations: []\nExploring Operation: 71-33=38, Resulting Numbers: [2, 53, 38]\nGenerated Node #0,1: 23:[2, 53, 38] Operation: 71-33=38\nMoving to Node #0,1\nCurrent State: 23:[2, 53, 38], Operations: ['71-33=38']\nExploring Operation: 53-38=15, Resulting Numbers: [2, 15]\nGenerated Node #0,1,0: 23:[2, 15] Operation: 53-38=15\nMoving to Node #0,1,0\nCurrent State: 23:[2, 15], Operations: ['71-33=38', '53-38=15']\nExploring Operation: 2+15=17, Resulting Numbers: [17]\n17,23 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 23:[2, 15], Operations: ['71-33=38', '53-38=15']\nExploring Operation: 2*15=30, Resulting Numbers: [30]\n30,23 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 23:[2, 15], Operations: ['71-33=38', '53-38=15']\nExploring Operation: 15-2=13, Resulting Numbers: [13]\n13,23 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 23:[2, 53, 38], Operations: ['71-33=38']\nExploring Operation: 38/2=19, Resulting Numbers: [53, 19]\nGenerated Node #0,1,1: 23:[53, 19] Operation: 38/2=19\nMoving to Node #0,1,1\nCurrent State: 23:[53, 19], Operations: ['71-33=38', '38/2=19']\nExploring Operation: 53-19=34, Resulting Numbers: [34]\n34,23 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 23:[2, 53, 38], Operations: ['71-33=38']\nExploring Operation: 53-2=51, Resulting Numbers: [38, 51]\nGenerated Node #0,1,2: 23:[38, 51] Operation: 53-2=51\nMoving to Node #0,1,2\nCurrent State: 23:[38, 51], Operations: ['71-33=38', '53-2=51']\nExploring Operation: 51-38=13, Resulting Numbers: [13]\n13,23 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 23:[2, 53, 38], Operations: ['71-33=38']\nExploring Operation: 38-2=36, Resulting Numbers: [53, 36]\nGenerated Node #0,1,3: 23:[53, 36] Operation: 38-2=36\nMoving to Node #0,1,3\nCurrent State: 23:[53, 36], Operations: ['71-33=38', '38-2=36']\nExploring Operation: 53-36=17, Resulting Numbers: [17]\n17,23 unequal: No Solution\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [94, 13, 73, 70] using the four basic arithmetic operations (+, -, *, /) to reach 27.",
"role": "user"
},
{
"content": "Current State: 27:[94, 13, 73, 70], Operations: []\nExploring Operation: 94-73=21, Resulting Numbers: [13, 70, 21]\nGenerated Node #0,0: 27:[13, 70, 21] Operation: 94-73=21\nMoving to Node #0,0\nCurrent State: 27:[13, 70, 21], Operations: ['94-73=21']\nExploring Operation: 70-13=57, Resulting Numbers: [21, 57]\nGenerated Node #0,0,0: 27:[21, 57] Operation: 70-13=57\nMoving to Node #0,0,0\nCurrent State: 27:[21, 57], Operations: ['94-73=21', '70-13=57']\nExploring Operation: 57-21=36, Resulting Numbers: [36]\n36,27 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 27:[13, 70, 21], Operations: ['94-73=21']\nExploring Operation: 70-21=49, Resulting Numbers: [13, 49]\nGenerated Node #0,0,1: 27:[13, 49] Operation: 70-21=49\nMoving to Node #0,0,1\nCurrent State: 27:[13, 49], Operations: ['94-73=21', '70-21=49']\nExploring Operation: 49-13=36, Resulting Numbers: [36]\n36,27 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 27:[13, 70, 21], Operations: ['94-73=21']\nExploring Operation: 13+21=34, Resulting Numbers: [70, 34]\nGenerated Node #0,0,2: 27:[70, 34] Operation: 13+21=34\nMoving to Node #0,0,2\nCurrent State: 27:[70, 34], Operations: ['94-73=21', '13+21=34']\nExploring Operation: 70-34=36, Resulting Numbers: [36]\n36,27 unequal: No Solution\nMoving to Node #0\nCurrent State: 27:[94, 13, 73, 70], Operations: []\nExploring Operation: 94-70=24, Resulting Numbers: [13, 73, 24]\nGenerated Node #0,1: 27:[13, 73, 24] Operation: 94-70=24\nMoving to Node #0,1\nCurrent State: 27:[13, 73, 24], Operations: ['94-70=24']\nExploring Operation: 73-13=60, Resulting Numbers: [24, 60]\nGenerated Node #0,1,0: 27:[24, 60] Operation: 73-13=60\nMoving to Node #0,1,0\nCurrent State: 27:[24, 60], Operations: ['94-70=24', '73-13=60']\nExploring Operation: 60-24=36, Resulting Numbers: [36]\n36,27 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 27:[13, 73, 24], Operations: ['94-70=24']\nExploring Operation: 73-24=49, Resulting Numbers: [13, 49]\nGenerated Node #0,1,1: 27:[13, 49] Operation: 73-24=49\nMoving to Node #0,1,1\nCurrent State: 27:[13, 49], Operations: ['94-70=24', '73-24=49']\nExploring Operation: 49-13=36, Resulting Numbers: [36]\n36,27 unequal: No Solution\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [54, 78, 95, 36] using the four basic arithmetic operations (+, -, *, /) to reach 43.",
"role": "user"
},
{
"content": "Current State: 43:[54, 78, 95, 36], Operations: []\nExploring Operation: 95-78=17, Resulting Numbers: [54, 36, 17]\nGenerated Node #0,0: 43:[54, 36, 17] Operation: 95-78=17\nExploring Operation: 95-54=41, Resulting Numbers: [78, 36, 41]\nGenerated Node #0,1: 43:[78, 36, 41] Operation: 95-54=41\nExploring Operation: 95-36=59, Resulting Numbers: [54, 78, 59]\nGenerated Node #0,2: 43:[54, 78, 59] Operation: 95-36=59\nMoving to Node #0,0\nCurrent State: 43:[54, 36, 17], Operations: ['95-78=17']\nExploring Operation: 36+17=53, Resulting Numbers: [54, 53]\nGenerated Node #0,0,0: 43:[54, 53] Operation: 36+17=53\nExploring Operation: 54-17=37, Resulting Numbers: [36, 37]\nGenerated Node #0,0,1: 43:[36, 37] Operation: 54-17=37\nExploring Operation: 54+17=71, Resulting Numbers: [36, 71]\nGenerated Node #0,0,2: 43:[36, 71] Operation: 54+17=71\nMoving to Node #0,1\nCurrent State: 43:[78, 36, 41], Operations: ['95-54=41']\nExploring Operation: 36+41=77, Resulting Numbers: [78, 77]\nGenerated Node #0,1,0: 43:[78, 77] Operation: 36+41=77\nExploring Operation: 78-36=42, Resulting Numbers: [41, 42]\nGenerated Node #0,1,1: 43:[41, 42] Operation: 78-36=42\nExploring Operation: 78-41=37, Resulting Numbers: [36, 37]\nGenerated Node #0,1,2: 43:[36, 37] Operation: 78-41=37\nMoving to Node #0,2\nCurrent State: 43:[54, 78, 59], Operations: ['95-36=59']\nExploring Operation: 78-59=19, Resulting Numbers: [54, 19]\nGenerated Node #0,2,0: 43:[54, 19] Operation: 78-59=19\nExploring Operation: 59-54=5, Resulting Numbers: [78, 5]\nGenerated Node #0,2,1: 43:[78, 5] Operation: 59-54=5\nExploring Operation: 78-54=24, Resulting Numbers: [59, 24]\nGenerated Node #0,2,2: 43:[59, 24] Operation: 78-54=24\nMoving to Node #0,1,1\nCurrent State: 43:[41, 42], Operations: ['95-54=41', '78-36=42']\nExploring Operation: 42-41=1, Resulting Numbers: [1]\n1,43 unequal: No Solution\nExploring Operation: 41+42=83, Resulting Numbers: [83]\n83,43 unequal: No Solution\nExploring Operation: 41*42=1722, Resulting Numbers: [1722]\n1722,43 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 43:[36, 37], Operations: ['95-78=17', '54-17=37']\nExploring Operation: 37-36=1, Resulting Numbers: [1]\n1,43 unequal: No Solution\nExploring Operation: 36+37=73, Resulting Numbers: [73]\n73,43 unequal: No Solution\nExploring Operation: 36*37=1332, Resulting Numbers: [1332]\n1332,43 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 43:[36, 37], Operations: ['95-54=41', '78-41=37']\nExploring Operation: 36+37=73, Resulting Numbers: [73]\n73,43 unequal: No Solution\nExploring Operation: 36*37=1332, Resulting Numbers: [1332]\n1332,43 unequal: No Solution\nExploring Operation: 37-36=1, Resulting Numbers: [1]\n1,43 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 43:[54, 53], Operations: ['95-78=17', '36+17=53']\nExploring Operation: 54+53=107, Resulting Numbers: [107]\n107,43 unequal: No Solution\nExploring Operation: 54-53=1, Resulting Numbers: [1]\n1,43 unequal: No Solution\nExploring Operation: 54*53=2862, Resulting Numbers: [2862]\n2862,43 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 43:[36, 71], Operations: ['95-78=17', '54+17=71']\nExploring Operation: 36+71=107, Resulting Numbers: [107]\n107,43 unequal: No Solution\nExploring Operation: 36*71=2556, Resulting Numbers: [2556]\n2556,43 unequal: No Solution\nExploring Operation: 71-36=35, Resulting Numbers: [35]\n35,43 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 43:[59, 24], Operations: ['95-36=59', '78-54=24']\nExploring Operation: 59*24=1416, Resulting Numbers: [1416]\n1416,43 unequal: No Solution\nExploring Operation: 59-24=35, Resulting Numbers: [35]\n35,43 unequal: No Solution\nExploring Operation: 59+24=83, Resulting Numbers: [83]\n83,43 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 43:[54, 19], Operations: ['95-36=59', '78-59=19']\nExploring Operation: 54-19=35, Resulting Numbers: [35]\n35,43 unequal: No Solution\nExploring Operation: 54*19=1026, Resulting Numbers: [1026]\n1026,43 unequal: No Solution\nExploring Operation: 54+19=73, Resulting Numbers: [73]\n73,43 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 43:[78, 77], Operations: ['95-54=41', '36+41=77']\nExploring Operation: 78+77=155, Resulting Numbers: [155]\n155,43 unequal: No Solution\nExploring Operation: 78-77=1, Resulting Numbers: [1]\n1,43 unequal: No Solution\nExploring Operation: 78*77=6006, Resulting Numbers: [6006]\n6006,43 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 43:[78, 5], Operations: ['95-36=59', '59-54=5']\nExploring Operation: 78+5=83, Resulting Numbers: [83]\n83,43 unequal: No Solution\nExploring Operation: 78*5=390, Resulting Numbers: [390]\n390,43 unequal: No Solution\nExploring Operation: 78-5=73, Resulting Numbers: [73]\n73,43 unequal: No Solution\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [7, 67, 98, 22] using the four basic arithmetic operations (+, -, *, /) to reach 75.",
"role": "user"
},
{
"content": "Current State: 75:[7, 67, 98, 22], Operations: []\nExploring Operation: 98-67=31, Resulting Numbers: [7, 22, 31]\nGenerated Node #0,0: 75:[7, 22, 31] Operation: 98-67=31\nMoving to Node #0,0\nCurrent State: 75:[7, 22, 31], Operations: ['98-67=31']\nExploring Operation: 31-7=24, Resulting Numbers: [22, 24]\nGenerated Node #0,0,0: 75:[22, 24] Operation: 31-7=24\nMoving to Node #0,0,0\nCurrent State: 75:[22, 24], Operations: ['98-67=31', '31-7=24']\nExploring Operation: 24-22=2, Resulting Numbers: [2]\n2,75 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 75:[22, 24], Operations: ['98-67=31', '31-7=24']\nExploring Operation: 22+24=46, Resulting Numbers: [46]\n46,75 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 75:[7, 22, 31], Operations: ['98-67=31']\nExploring Operation: 22-7=15, Resulting Numbers: [31, 15]\nGenerated Node #0,0,1: 75:[31, 15] Operation: 22-7=15\nMoving to Node #0,0,1\nCurrent State: 75:[31, 15], Operations: ['98-67=31', '22-7=15']\nExploring Operation: 31-15=16, Resulting Numbers: [16]\n16,75 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 75:[31, 15], Operations: ['98-67=31', '22-7=15']\nExploring Operation: 31+15=46, Resulting Numbers: [46]\n46,75 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 75:[7, 22, 31], Operations: ['98-67=31']\nExploring Operation: 31-22=9, Resulting Numbers: [7, 9]\nGenerated Node #0,0,2: 75:[7, 9] Operation: 31-22=9\nMoving to Node #0,0,2\nCurrent State: 75:[7, 9], Operations: ['98-67=31', '31-22=9']\nExploring Operation: 7+9=16, Resulting Numbers: [16]\n16,75 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 75:[7, 9], Operations: ['98-67=31', '31-22=9']\nExploring Operation: 9-7=2, Resulting Numbers: [2]\n2,75 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 75:[7, 9], Operations: ['98-67=31', '31-22=9']\nExploring Operation: 7*9=63, Resulting Numbers: [63]\n63,75 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 75:[7, 22, 31], Operations: ['98-67=31']\nExploring Operation: 7+22=29, Resulting Numbers: [31, 29]\nGenerated Node #0,0,3: 75:[31, 29] Operation: 7+22=29\nMoving to Node #0,0,3\nCurrent State: 75:[31, 29], Operations: ['98-67=31', '7+22=29']\nExploring Operation: 31-29=2, Resulting Numbers: [2]\n2,75 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 75:[31, 29], Operations: ['98-67=31', '7+22=29']\nExploring Operation: 31+29=60, Resulting Numbers: [60]\n60,75 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 75:[7, 22, 31], Operations: ['98-67=31']\nExploring Operation: 7+31=38, Resulting Numbers: [22, 38]\nGenerated Node #0,0,4: 75:[22, 38] Operation: 7+31=38\nMoving to Node #0,0,4\nCurrent State: 75:[22, 38], Operations: ['98-67=31', '7+31=38']\nExploring Operation: 38-22=16, Resulting Numbers: [16]\n16,75 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 75:[22, 38], Operations: ['98-67=31', '7+31=38']\nExploring Operation: 22+38=60, Resulting Numbers: [60]\n60,75 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 75:[7, 22, 31], Operations: ['98-67=31']\nExploring Operation: 22+31=53, Resulting Numbers: [7, 53]\nGenerated Node #0,0,5: 75:[7, 53] Operation: 22+31=53\nMoving to Node #0,0,5\nCurrent State: 75:[7, 53], Operations: ['98-67=31', '22+31=53']\nExploring Operation: 7+53=60, Resulting Numbers: [60]\n60,75 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 75:[7, 53], Operations: ['98-67=31', '22+31=53']\nExploring Operation: 53-7=46, Resulting Numbers: [46]\n46,75 unequal: No Solution\nMoving to Node #0\nCurrent State: 75:[7, 67, 98, 22], Operations: []\nExploring Operation: 98-22=76, Resulting Numbers: [7, 67, 76]\nGenerated Node #0,1: 75:[7, 67, 76] Operation: 98-22=76\nMoving to Node #0,1\nCurrent State: 75:[7, 67, 76], Operations: ['98-22=76']\nExploring Operation: 7+67=74, Resulting Numbers: [76, 74]\nGenerated Node #0,1,0: 75:[76, 74] Operation: 7+67=74\nMoving to Node #0,1,0\nCurrent State: 75:[76, 74], Operations: ['98-22=76', '7+67=74']\nExploring Operation: 76-74=2, Resulting Numbers: [2]\n2,75 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 75:[76, 74], Operations: ['98-22=76', '7+67=74']\nExploring Operation: 76+74=150, Resulting Numbers: [150]\n150,75 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 75:[7, 67, 76], Operations: ['98-22=76']\nExploring Operation: 76-67=9, Resulting Numbers: [7, 9]\nGenerated Node #0,1,1: 75:[7, 9] Operation: 76-67=9\nMoving to Node #0,1,1\nCurrent State: 75:[7, 9], Operations: ['98-22=76', '76-67=9']\nExploring Operation: 7+9=16, Resulting Numbers: [16]\n16,75 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 75:[7, 9], Operations: ['98-22=76', '76-67=9']\nExploring Operation: 9-7=2, Resulting Numbers: [2]\n2,75 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 75:[7, 9], Operations: ['98-22=76', '76-67=9']\nExploring Operation: 7*9=63, Resulting Numbers: [63]\n63,75 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 75:[7, 67, 76], Operations: ['98-22=76']\nExploring Operation: 76-7=69, Resulting Numbers: [67, 69]\nGenerated Node #0,1,2: 75:[67, 69] Operation: 76-7=69\nMoving to Node #0,1,2\nCurrent State: 75:[67, 69], Operations: ['98-22=76', '76-7=69']\nExploring Operation: 69-67=2, Resulting Numbers: [2]\n2,75 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 75:[67, 69], Operations: ['98-22=76', '76-7=69']\nExploring Operation: 67+69=136, Resulting Numbers: [136]\n136,75 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 75:[7, 67, 76], Operations: ['98-22=76']\nExploring Operation: 67-7=60, Resulting Numbers: [76, 60]\nGenerated Node #0,1,3: 75:[76, 60] Operation: 67-7=60\nMoving to Node #0,1,3\nCurrent State: 75:[76, 60], Operations: ['98-22=76', '67-7=60']\nExploring Operation: 76-60=16, Resulting Numbers: [16]\n16,75 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 75:[76, 60], Operations: ['98-22=76', '67-7=60']\nExploring Operation: 76+60=136, Resulting Numbers: [136]\n136,75 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 75:[7, 67, 76], Operations: ['98-22=76']\nExploring Operation: 7+76=83, Resulting Numbers: [67, 83]\nGenerated Node #0,1,4: 75:[67, 83] Operation: 7+76=83\nMoving to Node #0,1,4\nCurrent State: 75:[67, 83], Operations: ['98-22=76', '7+76=83']\nExploring Operation: 83-67=16, Resulting Numbers: [16]\n16,75 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 75:[67, 83], Operations: ['98-22=76', '7+76=83']\nExploring Operation: 67+83=150, Resulting Numbers: [150]\n150,75 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 75:[7, 67, 76], Operations: ['98-22=76']\nExploring Operation: 67+76=143, Resulting Numbers: [7, 143]\nGenerated Node #0,1,5: 75:[7, 143] Operation: 67+76=143\nMoving to Node #0,1,5\nCurrent State: 75:[7, 143], Operations: ['98-22=76', '67+76=143']\nExploring Operation: 143-7=136, Resulting Numbers: [136]\n136,75 unequal: No Solution\nMoving to Node #0,1,5\nCurrent State: 75:[7, 143], Operations: ['98-22=76', '67+76=143']\nExploring Operation: 7+143=150, Resulting Numbers: [150]\n150,75 unequal: No Solution\nMoving to Node #0\nCurrent State: 75:[7, 67, 98, 22], Operations: []\nExploring Operation: 98/7=14, Resulting Numbers: [67, 22, 14]\nGenerated Node #0,2: 75:[67, 22, 14] Operation: 98/7=14\nMoving to Node #0,2\nCurrent State: 75:[67, 22, 14], Operations: ['98/7=14']\nExploring Operation: 67+14=81, Resulting Numbers: [22, 81]\nGenerated Node #0,2,0: 75:[22, 81] Operation: 67+14=81\nMoving to Node #0,2,0\nCurrent State: 75:[22, 81], Operations: ['98/7=14', '67+14=81']\nExploring Operation: 81-22=59, Resulting Numbers: [59]\n59,75 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 75:[22, 81], Operations: ['98/7=14', '67+14=81']\nExploring Operation: 22+81=103, Resulting Numbers: [103]\n103,75 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 75:[67, 22, 14], Operations: ['98/7=14']\nExploring Operation: 22-14=8, Resulting Numbers: [67, 8]\nGenerated Node #0,2,1: 75:[67, 8] Operation: 22-14=8\nMoving to Node #0,2,1\nCurrent State: 75:[67, 8], Operations: ['98/7=14', '22-14=8']\nExploring Operation: 67+8=75, Resulting Numbers: [75]\n75,75 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [61, 89, 3, 55] using the four basic arithmetic operations (+, -, *, /) to reach 80.",
"role": "user"
},
{
"content": "Current State: 80:[61, 89, 3, 55], Operations: []\nExploring Operation: 61+3=64, Resulting Numbers: [89, 55, 64]\nGenerated Node #0,0: 80:[89, 55, 64] Operation: 61+3=64\nMoving to Node #0,0\nCurrent State: 80:[89, 55, 64], Operations: ['61+3=64']\nExploring Operation: 55+64=119, Resulting Numbers: [89, 119]\nGenerated Node #0,0,0: 80:[89, 119] Operation: 55+64=119\nMoving to Node #0,0,0\nCurrent State: 80:[89, 119], Operations: ['61+3=64', '55+64=119']\nExploring Operation: 119-89=30, Resulting Numbers: [30]\n30,80 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 80:[89, 55, 64], Operations: ['61+3=64']\nExploring Operation: 89-55=34, Resulting Numbers: [64, 34]\nGenerated Node #0,0,1: 80:[64, 34] Operation: 89-55=34\nMoving to Node #0,0,1\nCurrent State: 80:[64, 34], Operations: ['61+3=64', '89-55=34']\nExploring Operation: 64+34=98, Resulting Numbers: [98]\n98,80 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 80:[64, 34], Operations: ['61+3=64', '89-55=34']\nExploring Operation: 64-34=30, Resulting Numbers: [30]\n30,80 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 80:[89, 55, 64], Operations: ['61+3=64']\nExploring Operation: 89+55=144, Resulting Numbers: [64, 144]\nGenerated Node #0,0,2: 80:[64, 144] Operation: 89+55=144\nMoving to Node #0,0,2\nCurrent State: 80:[64, 144], Operations: ['61+3=64', '89+55=144']\nExploring Operation: 144-64=80, Resulting Numbers: [80]\n80,80 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [38, 13, 63, 82] using the four basic arithmetic operations (+, -, *, /) to reach 32.",
"role": "user"
},
{
"content": "Current State: 32:[38, 13, 63, 82], Operations: []\nExploring Operation: 63-38=25, Resulting Numbers: [13, 82, 25]\nGenerated Node #0,0: 32:[13, 82, 25] Operation: 63-38=25\nExploring Operation: 82-38=44, Resulting Numbers: [13, 63, 44]\nGenerated Node #0,1: 32:[13, 63, 44] Operation: 82-38=44\nExploring Operation: 82-63=19, Resulting Numbers: [38, 13, 19]\nGenerated Node #0,2: 32:[38, 13, 19] Operation: 82-63=19\nMoving to Node #0,2\nCurrent State: 32:[38, 13, 19], Operations: ['82-63=19']\nExploring Operation: 38/19=2, Resulting Numbers: [13, 2]\nGenerated Node #0,2,0: 32:[13, 2] Operation: 38/19=2\nExploring Operation: 38-19=19, Resulting Numbers: [13, 19]\nGenerated Node #0,2,1: 32:[13, 19] Operation: 38-19=19\nExploring Operation: 13+19=32, Resulting Numbers: [38, 32]\nGenerated Node #0,2,2: 32:[38, 32] Operation: 13+19=32\nMoving to Node #0,1\nCurrent State: 32:[13, 63, 44], Operations: ['82-38=44']\nExploring Operation: 63-13=50, Resulting Numbers: [44, 50]\nGenerated Node #0,1,0: 32:[44, 50] Operation: 63-13=50\nExploring Operation: 44-13=31, Resulting Numbers: [63, 31]\nGenerated Node #0,1,1: 32:[63, 31] Operation: 44-13=31\nExploring Operation: 63-44=19, Resulting Numbers: [13, 19]\nGenerated Node #0,1,2: 32:[13, 19] Operation: 63-44=19\nMoving to Node #0,0\nCurrent State: 32:[13, 82, 25], Operations: ['63-38=25']\nExploring Operation: 82-13=69, Resulting Numbers: [25, 69]\nGenerated Node #0,0,0: 32:[25, 69] Operation: 82-13=69\nExploring Operation: 25-13=12, Resulting Numbers: [82, 12]\nGenerated Node #0,0,1: 32:[82, 12] Operation: 25-13=12\nExploring Operation: 82-25=57, Resulting Numbers: [13, 57]\nGenerated Node #0,0,2: 32:[13, 57] Operation: 82-25=57\nMoving to Node #0,2,0\nCurrent State: 32:[13, 2], Operations: ['82-63=19', '38/19=2']\nExploring Operation: 13-2=11, Resulting Numbers: [11]\n11,32 unequal: No Solution\nExploring Operation: 13*2=26, Resulting Numbers: [26]\n26,32 unequal: No Solution\nExploring Operation: 13+2=15, Resulting Numbers: [15]\n15,32 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 32:[38, 32], Operations: ['82-63=19', '13+19=32']\nExploring Operation: 38*32=1216, Resulting Numbers: [1216]\n1216,32 unequal: No Solution\nExploring Operation: 38-32=6, Resulting Numbers: [6]\n6,32 unequal: No Solution\nExploring Operation: 38+32=70, Resulting Numbers: [70]\n70,32 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 32:[13, 19], Operations: ['82-63=19', '38-19=19']\nExploring Operation: 13+19=32, Resulting Numbers: [32]\n32,32 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [41, 49, 51, 8] using the four basic arithmetic operations (+, -, *, /) to reach 25.",
"role": "user"
},
{
"content": "Current State: 25:[41, 49, 51, 8], Operations: []\nExploring Operation: 51-41=10, Resulting Numbers: [49, 8, 10]\nGenerated Node #0,0: 25:[49, 8, 10] Operation: 51-41=10\nMoving to Node #0,0\nCurrent State: 25:[49, 8, 10], Operations: ['51-41=10']\nExploring Operation: 49-8=41, Resulting Numbers: [10, 41]\nGenerated Node #0,0,0: 25:[10, 41] Operation: 49-8=41\nMoving to Node #0,0,0\nCurrent State: 25:[10, 41], Operations: ['51-41=10', '49-8=41']\nExploring Operation: 41-10=31, Resulting Numbers: [31]\n31,25 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 25:[49, 8, 10], Operations: ['51-41=10']\nExploring Operation: 49-10=39, Resulting Numbers: [8, 39]\nGenerated Node #0,0,1: 25:[8, 39] Operation: 49-10=39\nMoving to Node #0,0,1\nCurrent State: 25:[8, 39], Operations: ['51-41=10', '49-10=39']\nExploring Operation: 39-8=31, Resulting Numbers: [31]\n31,25 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 25:[8, 39], Operations: ['51-41=10', '49-10=39']\nExploring Operation: 8+39=47, Resulting Numbers: [47]\n47,25 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 25:[49, 8, 10], Operations: ['51-41=10']\nExploring Operation: 8+10=18, Resulting Numbers: [49, 18]\nGenerated Node #0,0,2: 25:[49, 18] Operation: 8+10=18\nMoving to Node #0,0,2\nCurrent State: 25:[49, 18], Operations: ['51-41=10', '8+10=18']\nExploring Operation: 49-18=31, Resulting Numbers: [31]\n31,25 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 25:[49, 8, 10], Operations: ['51-41=10']\nExploring Operation: 49+8=57, Resulting Numbers: [10, 57]\nGenerated Node #0,0,3: 25:[10, 57] Operation: 49+8=57\nMoving to Node #0,0,3\nCurrent State: 25:[10, 57], Operations: ['51-41=10', '49+8=57']\nExploring Operation: 57-10=47, Resulting Numbers: [47]\n47,25 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 25:[49, 8, 10], Operations: ['51-41=10']\nExploring Operation: 10-8=2, Resulting Numbers: [49, 2]\nGenerated Node #0,0,4: 25:[49, 2] Operation: 10-8=2\nMoving to Node #0,0,4\nCurrent State: 25:[49, 2], Operations: ['51-41=10', '10-8=2']\nExploring Operation: 49-2=47, Resulting Numbers: [47]\n47,25 unequal: No Solution\nMoving to Node #0\nCurrent State: 25:[41, 49, 51, 8], Operations: []\nExploring Operation: 51-49=2, Resulting Numbers: [41, 8, 2]\nGenerated Node #0,1: 25:[41, 8, 2] Operation: 51-49=2\nMoving to Node #0,1\nCurrent State: 25:[41, 8, 2], Operations: ['51-49=2']\nExploring Operation: 8*2=16, Resulting Numbers: [41, 16]\nGenerated Node #0,1,0: 25:[41, 16] Operation: 8*2=16\nMoving to Node #0,1,0\nCurrent State: 25:[41, 16], Operations: ['51-49=2', '8*2=16']\nExploring Operation: 41-16=25, Resulting Numbers: [25]\n25,25 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [39, 19, 40, 90] using the four basic arithmetic operations (+, -, *, /) to reach 70.",
"role": "user"
},
{
"content": "Current State: 70:[39, 19, 40, 90], Operations: []\nExploring Operation: 90-19=71, Resulting Numbers: [39, 40, 71]\nGenerated Node #0,0: 70:[39, 40, 71] Operation: 90-19=71\nMoving to Node #0,0\nCurrent State: 70:[39, 40, 71], Operations: ['90-19=71']\nExploring Operation: 40-39=1, Resulting Numbers: [71, 1]\nGenerated Node #0,0,0: 70:[71, 1] Operation: 40-39=1\nMoving to Node #0,0,0\nCurrent State: 70:[71, 1], Operations: ['90-19=71', '40-39=1']\nExploring Operation: 71-1=70, Resulting Numbers: [70]\n70,70 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [70, 68, 23, 16] using the four basic arithmetic operations (+, -, *, /) to reach 58.",
"role": "user"
},
{
"content": "Current State: 58:[70, 68, 23, 16], Operations: []\nExploring Operation: 70-16=54, Resulting Numbers: [68, 23, 54]\nGenerated Node #0,0: 58:[68, 23, 54] Operation: 70-16=54\nExploring Operation: 23+16=39, Resulting Numbers: [70, 68, 39]\nGenerated Node #0,1: 58:[70, 68, 39] Operation: 23+16=39\nMoving to Node #0,1\nCurrent State: 58:[70, 68, 39], Operations: ['23+16=39']\nExploring Operation: 68-39=29, Resulting Numbers: [70, 29]\nGenerated Node #0,1,0: 58:[70, 29] Operation: 68-39=29\nExploring Operation: 70-39=31, Resulting Numbers: [68, 31]\nGenerated Node #0,1,1: 58:[68, 31] Operation: 70-39=31\nMoving to Node #0,0\nCurrent State: 58:[68, 23, 54], Operations: ['70-16=54']\nExploring Operation: 23+54=77, Resulting Numbers: [68, 77]\nGenerated Node #0,0,0: 58:[68, 77] Operation: 23+54=77\nExploring Operation: 68-23=45, Resulting Numbers: [54, 45]\nGenerated Node #0,0,1: 58:[54, 45] Operation: 68-23=45\nMoving to Node #0,0,1\nCurrent State: 58:[54, 45], Operations: ['70-16=54', '68-23=45']\nExploring Operation: 54+45=99, Resulting Numbers: [99]\n99,58 unequal: No Solution\nExploring Operation: 54-45=9, Resulting Numbers: [9]\n9,58 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 58:[68, 77], Operations: ['70-16=54', '23+54=77']\nExploring Operation: 77-68=9, Resulting Numbers: [9]\n9,58 unequal: No Solution\nExploring Operation: 68+77=145, Resulting Numbers: [145]\n145,58 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 58:[68, 31], Operations: ['23+16=39', '70-39=31']\nExploring Operation: 68+31=99, Resulting Numbers: [99]\n99,58 unequal: No Solution\nExploring Operation: 68-31=37, Resulting Numbers: [37]\n37,58 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 58:[70, 29], Operations: ['23+16=39', '68-39=29']\nExploring Operation: 70+29=99, Resulting Numbers: [99]\n99,58 unequal: No Solution\nExploring Operation: 70-29=41, Resulting Numbers: [41]\n41,58 unequal: No Solution\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [75, 35, 63, 40] using the four basic arithmetic operations (+, -, *, /) to reach 48.",
"role": "user"
},
{
"content": "Current State: 48:[75, 35, 63, 40], Operations: []\nExploring Operation: 75-35=40, Resulting Numbers: [63, 40, 40]\nGenerated Node #0,0: 48:[63, 40, 40] Operation: 75-35=40\nMoving to Node #0,0\nCurrent State: 48:[63, 40, 40], Operations: ['75-35=40']\nExploring Operation: 63-40=23, Resulting Numbers: [40, 23]\nGenerated Node #0,0,0: 48:[40, 23] Operation: 63-40=23\nMoving to Node #0,0,0\nCurrent State: 48:[40, 23], Operations: ['75-35=40', '63-40=23']\nExploring Operation: 40+23=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 48:[40, 23], Operations: ['75-35=40', '63-40=23']\nExploring Operation: 40-23=17, Resulting Numbers: [17]\n17,48 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 48:[63, 40, 40], Operations: ['75-35=40']\nExploring Operation: 63-40=23, Resulting Numbers: [40, 23]\nGenerated Node #0,0,1: 48:[40, 23] Operation: 63-40=23\nMoving to Node #0,0,1\nCurrent State: 48:[40, 23], Operations: ['75-35=40', '63-40=23']\nExploring Operation: 40+23=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 48:[40, 23], Operations: ['75-35=40', '63-40=23']\nExploring Operation: 40-23=17, Resulting Numbers: [17]\n17,48 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 48:[63, 40, 40], Operations: ['75-35=40']\nExploring Operation: 40+40=80, Resulting Numbers: [63, 80]\nGenerated Node #0,0,2: 48:[63, 80] Operation: 40+40=80\nMoving to Node #0,0,2\nCurrent State: 48:[63, 80], Operations: ['75-35=40', '40+40=80']\nExploring Operation: 80-63=17, Resulting Numbers: [17]\n17,48 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 48:[63, 40, 40], Operations: ['75-35=40']\nExploring Operation: 40/40=1, Resulting Numbers: [63, 1]\nGenerated Node #0,0,3: 48:[63, 1] Operation: 40/40=1\nMoving to Node #0,0,3\nCurrent State: 48:[63, 1], Operations: ['75-35=40', '40/40=1']\nExploring Operation: 63-1=62, Resulting Numbers: [62]\n62,48 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 48:[63, 1], Operations: ['75-35=40', '40/40=1']\nExploring Operation: 63*1=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 48:[63, 1], Operations: ['75-35=40', '40/40=1']\nExploring Operation: 63/1=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 48:[63, 1], Operations: ['75-35=40', '40/40=1']\nExploring Operation: 63+1=64, Resulting Numbers: [64]\n64,48 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 48:[63, 40, 40], Operations: ['75-35=40']\nExploring Operation: 63+40=103, Resulting Numbers: [40, 103]\nGenerated Node #0,0,4: 48:[40, 103] Operation: 63+40=103\nMoving to Node #0,0,4\nCurrent State: 48:[40, 103], Operations: ['75-35=40', '63+40=103']\nExploring Operation: 103-40=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 48:[63, 40, 40], Operations: ['75-35=40']\nExploring Operation: 63+40=103, Resulting Numbers: [40, 103]\nGenerated Node #0,0,5: 48:[40, 103] Operation: 63+40=103\nMoving to Node #0,0,5\nCurrent State: 48:[40, 103], Operations: ['75-35=40', '63+40=103']\nExploring Operation: 103-40=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 48:[63, 40, 40], Operations: ['75-35=40']\nExploring Operation: 40-40=0, Resulting Numbers: [63, 0]\nGenerated Node #0,0,6: 48:[63, 0] Operation: 40-40=0\nMoving to Node #0,0,6\nCurrent State: 48:[63, 0], Operations: ['75-35=40', '40-40=0']\nExploring Operation: 63+0=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nMoving to Node #0,0,6\nCurrent State: 48:[63, 0], Operations: ['75-35=40', '40-40=0']\nExploring Operation: 63-0=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nMoving to Node #0,0,6\nCurrent State: 48:[63, 0], Operations: ['75-35=40', '40-40=0']\nExploring Operation: 63*0=0, Resulting Numbers: [0]\n0,48 unequal: No Solution\nMoving to Node #0\nCurrent State: 48:[75, 35, 63, 40], Operations: []\nExploring Operation: 75-40=35, Resulting Numbers: [35, 63, 35]\nGenerated Node #0,1: 48:[35, 63, 35] Operation: 75-40=35\nMoving to Node #0,1\nCurrent State: 48:[35, 63, 35], Operations: ['75-40=35']\nExploring Operation: 63-35=28, Resulting Numbers: [35, 28]\nGenerated Node #0,1,0: 48:[35, 28] Operation: 63-35=28\nMoving to Node #0,1,0\nCurrent State: 48:[35, 28], Operations: ['75-40=35', '63-35=28']\nExploring Operation: 35+28=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 48:[35, 28], Operations: ['75-40=35', '63-35=28']\nExploring Operation: 35-28=7, Resulting Numbers: [7]\n7,48 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 48:[35, 63, 35], Operations: ['75-40=35']\nExploring Operation: 63-35=28, Resulting Numbers: [35, 28]\nGenerated Node #0,1,1: 48:[35, 28] Operation: 63-35=28\nMoving to Node #0,1,1\nCurrent State: 48:[35, 28], Operations: ['75-40=35', '63-35=28']\nExploring Operation: 35+28=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 48:[35, 28], Operations: ['75-40=35', '63-35=28']\nExploring Operation: 35-28=7, Resulting Numbers: [7]\n7,48 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 48:[35, 63, 35], Operations: ['75-40=35']\nExploring Operation: 35+35=70, Resulting Numbers: [63, 70]\nGenerated Node #0,1,2: 48:[63, 70] Operation: 35+35=70\nMoving to Node #0,1,2\nCurrent State: 48:[63, 70], Operations: ['75-40=35', '35+35=70']\nExploring Operation: 70-63=7, Resulting Numbers: [7]\n7,48 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 48:[35, 63, 35], Operations: ['75-40=35']\nExploring Operation: 35/35=1, Resulting Numbers: [63, 1]\nGenerated Node #0,1,3: 48:[63, 1] Operation: 35/35=1\nMoving to Node #0,1,3\nCurrent State: 48:[63, 1], Operations: ['75-40=35', '35/35=1']\nExploring Operation: 63-1=62, Resulting Numbers: [62]\n62,48 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 48:[63, 1], Operations: ['75-40=35', '35/35=1']\nExploring Operation: 63*1=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 48:[63, 1], Operations: ['75-40=35', '35/35=1']\nExploring Operation: 63/1=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 48:[63, 1], Operations: ['75-40=35', '35/35=1']\nExploring Operation: 63+1=64, Resulting Numbers: [64]\n64,48 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 48:[35, 63, 35], Operations: ['75-40=35']\nExploring Operation: 35+63=98, Resulting Numbers: [35, 98]\nGenerated Node #0,1,4: 48:[35, 98] Operation: 35+63=98\nMoving to Node #0,1,4\nCurrent State: 48:[35, 98], Operations: ['75-40=35', '35+63=98']\nExploring Operation: 98-35=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 48:[35, 63, 35], Operations: ['75-40=35']\nExploring Operation: 35-35=0, Resulting Numbers: [63, 0]\nGenerated Node #0,1,5: 48:[63, 0] Operation: 35-35=0\nMoving to Node #0,1,5\nCurrent State: 48:[63, 0], Operations: ['75-40=35', '35-35=0']\nExploring Operation: 63+0=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nMoving to Node #0,1,5\nCurrent State: 48:[63, 0], Operations: ['75-40=35', '35-35=0']\nExploring Operation: 63-0=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nMoving to Node #0,1,5\nCurrent State: 48:[63, 0], Operations: ['75-40=35', '35-35=0']\nExploring Operation: 63*0=0, Resulting Numbers: [0]\n0,48 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 48:[35, 63, 35], Operations: ['75-40=35']\nExploring Operation: 63+35=98, Resulting Numbers: [35, 98]\nGenerated Node #0,1,6: 48:[35, 98] Operation: 63+35=98\nMoving to Node #0,1,6\nCurrent State: 48:[35, 98], Operations: ['75-40=35', '63+35=98']\nExploring Operation: 98-35=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nMoving to Node #0\nCurrent State: 48:[75, 35, 63, 40], Operations: []\nExploring Operation: 63-35=28, Resulting Numbers: [75, 40, 28]\nGenerated Node #0,2: 48:[75, 40, 28] Operation: 63-35=28\nMoving to Node #0,2\nCurrent State: 48:[75, 40, 28], Operations: ['63-35=28']\nExploring Operation: 75-28=47, Resulting Numbers: [40, 47]\nGenerated Node #0,2,0: 48:[40, 47] Operation: 75-28=47\nMoving to Node #0,2,0\nCurrent State: 48:[40, 47], Operations: ['63-35=28', '75-28=47']\nExploring Operation: 40+47=87, Resulting Numbers: [87]\n87,48 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 48:[40, 47], Operations: ['63-35=28', '75-28=47']\nExploring Operation: 47-40=7, Resulting Numbers: [7]\n7,48 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 48:[75, 40, 28], Operations: ['63-35=28']\nExploring Operation: 75-40=35, Resulting Numbers: [28, 35]\nGenerated Node #0,2,1: 48:[28, 35] Operation: 75-40=35\nMoving to Node #0,2,1\nCurrent State: 48:[28, 35], Operations: ['63-35=28', '75-40=35']\nExploring Operation: 28+35=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 48:[28, 35], Operations: ['63-35=28', '75-40=35']\nExploring Operation: 35-28=7, Resulting Numbers: [7]\n7,48 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 48:[75, 40, 28], Operations: ['63-35=28']\nExploring Operation: 40+28=68, Resulting Numbers: [75, 68]\nGenerated Node #0,2,2: 48:[75, 68] Operation: 40+28=68\nMoving to Node #0,2,2\nCurrent State: 48:[75, 68], Operations: ['63-35=28', '40+28=68']\nExploring Operation: 75-68=7, Resulting Numbers: [7]\n7,48 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 48:[75, 40, 28], Operations: ['63-35=28']\nExploring Operation: 75+28=103, Resulting Numbers: [40, 103]\nGenerated Node #0,2,3: 48:[40, 103] Operation: 75+28=103\nMoving to Node #0,2,3\nCurrent State: 48:[40, 103], Operations: ['63-35=28', '75+28=103']\nExploring Operation: 103-40=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 48:[75, 40, 28], Operations: ['63-35=28']\nExploring Operation: 40-28=12, Resulting Numbers: [75, 12]\nGenerated Node #0,2,4: 48:[75, 12] Operation: 40-28=12\nMoving to Node #0,2,4\nCurrent State: 48:[75, 12], Operations: ['63-35=28', '40-28=12']\nExploring Operation: 75-12=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 48:[75, 12], Operations: ['63-35=28', '40-28=12']\nExploring Operation: 75+12=87, Resulting Numbers: [87]\n87,48 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 48:[75, 40, 28], Operations: ['63-35=28']\nExploring Operation: 75+40=115, Resulting Numbers: [28, 115]\nGenerated Node #0,2,5: 48:[28, 115] Operation: 75+40=115\nMoving to Node #0,2,5\nCurrent State: 48:[28, 115], Operations: ['63-35=28', '75+40=115']\nExploring Operation: 115-28=87, Resulting Numbers: [87]\n87,48 unequal: No Solution\nMoving to Node #0\nCurrent State: 48:[75, 35, 63, 40], Operations: []\nExploring Operation: 75-63=12, Resulting Numbers: [35, 40, 12]\nGenerated Node #0,3: 48:[35, 40, 12] Operation: 75-63=12\nMoving to Node #0,3\nCurrent State: 48:[35, 40, 12], Operations: ['75-63=12']\nExploring Operation: 35+12=47, Resulting Numbers: [40, 47]\nGenerated Node #0,3,0: 48:[40, 47] Operation: 35+12=47\nMoving to Node #0,3,0\nCurrent State: 48:[40, 47], Operations: ['75-63=12', '35+12=47']\nExploring Operation: 40+47=87, Resulting Numbers: [87]\n87,48 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 48:[40, 47], Operations: ['75-63=12', '35+12=47']\nExploring Operation: 47-40=7, Resulting Numbers: [7]\n7,48 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 48:[35, 40, 12], Operations: ['75-63=12']\nExploring Operation: 40+12=52, Resulting Numbers: [35, 52]\nGenerated Node #0,3,1: 48:[35, 52] Operation: 40+12=52\nMoving to Node #0,3,1\nCurrent State: 48:[35, 52], Operations: ['75-63=12', '40+12=52']\nExploring Operation: 52-35=17, Resulting Numbers: [17]\n17,48 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 48:[35, 52], Operations: ['75-63=12', '40+12=52']\nExploring Operation: 35+52=87, Resulting Numbers: [87]\n87,48 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 48:[35, 40, 12], Operations: ['75-63=12']\nExploring Operation: 35-12=23, Resulting Numbers: [40, 23]\nGenerated Node #0,3,2: 48:[40, 23] Operation: 35-12=23\nMoving to Node #0,3,2\nCurrent State: 48:[40, 23], Operations: ['75-63=12', '35-12=23']\nExploring Operation: 40+23=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 48:[40, 23], Operations: ['75-63=12', '35-12=23']\nExploring Operation: 40-23=17, Resulting Numbers: [17]\n17,48 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 48:[35, 40, 12], Operations: ['75-63=12']\nExploring Operation: 40-12=28, Resulting Numbers: [35, 28]\nGenerated Node #0,3,3: 48:[35, 28] Operation: 40-12=28\nMoving to Node #0,3,3\nCurrent State: 48:[35, 28], Operations: ['75-63=12', '40-12=28']\nExploring Operation: 35+28=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 48:[35, 28], Operations: ['75-63=12', '40-12=28']\nExploring Operation: 35-28=7, Resulting Numbers: [7]\n7,48 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 48:[35, 40, 12], Operations: ['75-63=12']\nExploring Operation: 35+40=75, Resulting Numbers: [12, 75]\nGenerated Node #0,3,4: 48:[12, 75] Operation: 35+40=75\nMoving to Node #0,3,4\nCurrent State: 48:[12, 75], Operations: ['75-63=12', '35+40=75']\nExploring Operation: 75-12=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nMoving to Node #0,3,4\nCurrent State: 48:[12, 75], Operations: ['75-63=12', '35+40=75']\nExploring Operation: 12+75=87, Resulting Numbers: [87]\n87,48 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 48:[35, 40, 12], Operations: ['75-63=12']\nExploring Operation: 40-35=5, Resulting Numbers: [12, 5]\nGenerated Node #0,3,5: 48:[12, 5] Operation: 40-35=5\nMoving to Node #0,3,5\nCurrent State: 48:[12, 5], Operations: ['75-63=12', '40-35=5']\nExploring Operation: 12*5=60, Resulting Numbers: [60]\n60,48 unequal: No Solution\nMoving to Node #0,3,5\nCurrent State: 48:[12, 5], Operations: ['75-63=12', '40-35=5']\nExploring Operation: 12+5=17, Resulting Numbers: [17]\n17,48 unequal: No Solution\nMoving to Node #0,3,5\nCurrent State: 48:[12, 5], Operations: ['75-63=12', '40-35=5']\nExploring Operation: 12-5=7, Resulting Numbers: [7]\n7,48 unequal: No Solution\nMoving to Node #0\nCurrent State: 48:[75, 35, 63, 40], Operations: []\nExploring Operation: 63-40=23, Resulting Numbers: [75, 35, 23]\nGenerated Node #0,4: 48:[75, 35, 23] Operation: 63-40=23\nMoving to Node #0,4\nCurrent State: 48:[75, 35, 23], Operations: ['63-40=23']\nExploring Operation: 75-23=52, Resulting Numbers: [35, 52]\nGenerated Node #0,4,0: 48:[35, 52] Operation: 75-23=52\nMoving to Node #0,4,0\nCurrent State: 48:[35, 52], Operations: ['63-40=23', '75-23=52']\nExploring Operation: 52-35=17, Resulting Numbers: [17]\n17,48 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 48:[35, 52], Operations: ['63-40=23', '75-23=52']\nExploring Operation: 35+52=87, Resulting Numbers: [87]\n87,48 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 48:[75, 35, 23], Operations: ['63-40=23']\nExploring Operation: 75-35=40, Resulting Numbers: [23, 40]\nGenerated Node #0,4,1: 48:[23, 40] Operation: 75-35=40\nMoving to Node #0,4,1\nCurrent State: 48:[23, 40], Operations: ['63-40=23', '75-35=40']\nExploring Operation: 23+40=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 48:[23, 40], Operations: ['63-40=23', '75-35=40']\nExploring Operation: 40-23=17, Resulting Numbers: [17]\n17,48 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 48:[75, 35, 23], Operations: ['63-40=23']\nExploring Operation: 35+23=58, Resulting Numbers: [75, 58]\nGenerated Node #0,4,2: 48:[75, 58] Operation: 35+23=58\nMoving to Node #0,4,2\nCurrent State: 48:[75, 58], Operations: ['63-40=23', '35+23=58']\nExploring Operation: 75-58=17, Resulting Numbers: [17]\n17,48 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 48:[75, 35, 23], Operations: ['63-40=23']\nExploring Operation: 75+23=98, Resulting Numbers: [35, 98]\nGenerated Node #0,4,3: 48:[35, 98] Operation: 75+23=98\nMoving to Node #0,4,3\nCurrent State: 48:[35, 98], Operations: ['63-40=23', '75+23=98']\nExploring Operation: 98-35=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 48:[75, 35, 23], Operations: ['63-40=23']\nExploring Operation: 35-23=12, Resulting Numbers: [75, 12]\nGenerated Node #0,4,4: 48:[75, 12] Operation: 35-23=12\nMoving to Node #0,4,4\nCurrent State: 48:[75, 12], Operations: ['63-40=23', '35-23=12']\nExploring Operation: 75-12=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nMoving to Node #0,4,4\nCurrent State: 48:[75, 12], Operations: ['63-40=23', '35-23=12']\nExploring Operation: 75+12=87, Resulting Numbers: [87]\n87,48 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 48:[75, 35, 23], Operations: ['63-40=23']\nExploring Operation: 75+35=110, Resulting Numbers: [23, 110]\nGenerated Node #0,4,5: 48:[23, 110] Operation: 75+35=110\nMoving to Node #0,4,5\nCurrent State: 48:[23, 110], Operations: ['63-40=23', '75+35=110']\nExploring Operation: 110-23=87, Resulting Numbers: [87]\n87,48 unequal: No Solution\nMoving to Node #0\nCurrent State: 48:[75, 35, 63, 40], Operations: []\nExploring Operation: 35+40=75, Resulting Numbers: [75, 63, 75]\nGenerated Node #0,5: 48:[75, 63, 75] Operation: 35+40=75\nMoving to Node #0,5\nCurrent State: 48:[75, 63, 75], Operations: ['35+40=75']\nExploring Operation: 75/75=1, Resulting Numbers: [63, 1]\nGenerated Node #0,5,0: 48:[63, 1] Operation: 75/75=1\nMoving to Node #0,5,0\nCurrent State: 48:[63, 1], Operations: ['35+40=75', '75/75=1']\nExploring Operation: 63-1=62, Resulting Numbers: [62]\n62,48 unequal: No Solution\nMoving to Node #0,5,0\nCurrent State: 48:[63, 1], Operations: ['35+40=75', '75/75=1']\nExploring Operation: 63*1=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nMoving to Node #0,5,0\nCurrent State: 48:[63, 1], Operations: ['35+40=75', '75/75=1']\nExploring Operation: 63/1=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nMoving to Node #0,5,0\nCurrent State: 48:[63, 1], Operations: ['35+40=75', '75/75=1']\nExploring Operation: 63+1=64, Resulting Numbers: [64]\n64,48 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 48:[75, 63, 75], Operations: ['35+40=75']\nExploring Operation: 75-63=12, Resulting Numbers: [75, 12]\nGenerated Node #0,5,1: 48:[75, 12] Operation: 75-63=12\nMoving to Node #0,5,1\nCurrent State: 48:[75, 12], Operations: ['35+40=75', '75-63=12']\nExploring Operation: 75-12=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nMoving to Node #0,5,1\nCurrent State: 48:[75, 12], Operations: ['35+40=75', '75-63=12']\nExploring Operation: 75+12=87, Resulting Numbers: [87]\n87,48 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 48:[75, 63, 75], Operations: ['35+40=75']\nExploring Operation: 75-75=0, Resulting Numbers: [63, 0]\nGenerated Node #0,5,2: 48:[63, 0] Operation: 75-75=0\nMoving to Node #0,5,2\nCurrent State: 48:[63, 0], Operations: ['35+40=75', '75-75=0']\nExploring Operation: 63+0=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nMoving to Node #0,5,2\nCurrent State: 48:[63, 0], Operations: ['35+40=75', '75-75=0']\nExploring Operation: 63-0=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nMoving to Node #0,5,2\nCurrent State: 48:[63, 0], Operations: ['35+40=75', '75-75=0']\nExploring Operation: 63*0=0, Resulting Numbers: [0]\n0,48 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 48:[75, 63, 75], Operations: ['35+40=75']\nExploring Operation: 75-63=12, Resulting Numbers: [75, 12]\nGenerated Node #0,5,3: 48:[75, 12] Operation: 75-63=12\nMoving to Node #0,5,3\nCurrent State: 48:[75, 12], Operations: ['35+40=75', '75-63=12']\nExploring Operation: 75-12=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nMoving to Node #0,5,3\nCurrent State: 48:[75, 12], Operations: ['35+40=75', '75-63=12']\nExploring Operation: 75+12=87, Resulting Numbers: [87]\n87,48 unequal: No Solution\nMoving to Node #0\nCurrent State: 48:[75, 35, 63, 40], Operations: []\nExploring Operation: 75+35=110, Resulting Numbers: [63, 40, 110]\nGenerated Node #0,6: 48:[63, 40, 110] Operation: 75+35=110\nMoving to Node #0,6\nCurrent State: 48:[63, 40, 110], Operations: ['75+35=110']\nExploring Operation: 110-63=47, Resulting Numbers: [40, 47]\nGenerated Node #0,6,0: 48:[40, 47] Operation: 110-63=47\nMoving to Node #0,6,0\nCurrent State: 48:[40, 47], Operations: ['75+35=110', '110-63=47']\nExploring Operation: 40+47=87, Resulting Numbers: [87]\n87,48 unequal: No Solution\nMoving to Node #0,6,0\nCurrent State: 48:[40, 47], Operations: ['75+35=110', '110-63=47']\nExploring Operation: 47-40=7, Resulting Numbers: [7]\n7,48 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 48:[63, 40, 110], Operations: ['75+35=110']\nExploring Operation: 110-40=70, Resulting Numbers: [63, 70]\nGenerated Node #0,6,1: 48:[63, 70] Operation: 110-40=70\nMoving to Node #0,6,1\nCurrent State: 48:[63, 70], Operations: ['75+35=110', '110-40=70']\nExploring Operation: 70-63=7, Resulting Numbers: [7]\n7,48 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 48:[63, 40, 110], Operations: ['75+35=110']\nExploring Operation: 63-40=23, Resulting Numbers: [110, 23]\nGenerated Node #0,6,2: 48:[110, 23] Operation: 63-40=23\nMoving to Node #0,6,2\nCurrent State: 48:[110, 23], Operations: ['75+35=110', '63-40=23']\nExploring Operation: 110-23=87, Resulting Numbers: [87]\n87,48 unequal: No Solution\nMoving to Node #0\nCurrent State: 48:[75, 35, 63, 40], Operations: []\nExploring Operation: 35+63=98, Resulting Numbers: [75, 40, 98]\nGenerated Node #0,7: 48:[75, 40, 98] Operation: 35+63=98\nMoving to Node #0,7\nCurrent State: 48:[75, 40, 98], Operations: ['35+63=98']\nExploring Operation: 98-75=23, Resulting Numbers: [40, 23]\nGenerated Node #0,7,0: 48:[40, 23] Operation: 98-75=23\nMoving to Node #0,7,0\nCurrent State: 48:[40, 23], Operations: ['35+63=98', '98-75=23']\nExploring Operation: 40+23=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nMoving to Node #0,7,0\nCurrent State: 48:[40, 23], Operations: ['35+63=98', '98-75=23']\nExploring Operation: 40-23=17, Resulting Numbers: [17]\n17,48 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 48:[75, 40, 98], Operations: ['35+63=98']\nExploring Operation: 98-40=58, Resulting Numbers: [75, 58]\nGenerated Node #0,7,1: 48:[75, 58] Operation: 98-40=58\nMoving to Node #0,7,1\nCurrent State: 48:[75, 58], Operations: ['35+63=98', '98-40=58']\nExploring Operation: 75-58=17, Resulting Numbers: [17]\n17,48 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 48:[75, 40, 98], Operations: ['35+63=98']\nExploring Operation: 75-40=35, Resulting Numbers: [98, 35]\nGenerated Node #0,7,2: 48:[98, 35] Operation: 75-40=35\nMoving to Node #0,7,2\nCurrent State: 48:[98, 35], Operations: ['35+63=98', '75-40=35']\nExploring Operation: 98-35=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nMoving to Node #0\nCurrent State: 48:[75, 35, 63, 40], Operations: []\nExploring Operation: 40-35=5, Resulting Numbers: [75, 63, 5]\nGenerated Node #0,8: 48:[75, 63, 5] Operation: 40-35=5\nMoving to Node #0,8\nCurrent State: 48:[75, 63, 5], Operations: ['40-35=5']\nExploring Operation: 75-5=70, Resulting Numbers: [63, 70]\nGenerated Node #0,8,0: 48:[63, 70] Operation: 75-5=70\nMoving to Node #0,8,0\nCurrent State: 48:[63, 70], Operations: ['40-35=5', '75-5=70']\nExploring Operation: 70-63=7, Resulting Numbers: [7]\n7,48 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 48:[75, 63, 5], Operations: ['40-35=5']\nExploring Operation: 63-5=58, Resulting Numbers: [75, 58]\nGenerated Node #0,8,1: 48:[75, 58] Operation: 63-5=58\nMoving to Node #0,8,1\nCurrent State: 48:[75, 58], Operations: ['40-35=5', '63-5=58']\nExploring Operation: 75-58=17, Resulting Numbers: [17]\n17,48 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 48:[75, 63, 5], Operations: ['40-35=5']\nExploring Operation: 75+5=80, Resulting Numbers: [63, 80]\nGenerated Node #0,8,2: 48:[63, 80] Operation: 75+5=80\nMoving to Node #0,8,2\nCurrent State: 48:[63, 80], Operations: ['40-35=5', '75+5=80']\nExploring Operation: 80-63=17, Resulting Numbers: [17]\n17,48 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 48:[75, 63, 5], Operations: ['40-35=5']\nExploring Operation: 63+5=68, Resulting Numbers: [75, 68]\nGenerated Node #0,8,3: 48:[75, 68] Operation: 63+5=68\nMoving to Node #0,8,3\nCurrent State: 48:[75, 68], Operations: ['40-35=5', '63+5=68']\nExploring Operation: 75-68=7, Resulting Numbers: [7]\n7,48 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 48:[75, 63, 5], Operations: ['40-35=5']\nExploring Operation: 75/5=15, Resulting Numbers: [63, 15]\nGenerated Node #0,8,4: 48:[63, 15] Operation: 75/5=15\nMoving to Node #0,8,4\nCurrent State: 48:[63, 15], Operations: ['40-35=5', '75/5=15']\nExploring Operation: 63-15=48, Resulting Numbers: [48]\n48,48 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [90, 13, 12, 12] using the four basic arithmetic operations (+, -, *, /) to reach 13.",
"role": "user"
},
{
"content": "Current State: 13:[90, 13, 12, 12], Operations: []\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [75, 14, 7, 15] using the four basic arithmetic operations (+, -, *, /) to reach 12.",
"role": "user"
},
{
"content": "Current State: 12:[75, 14, 7, 15], Operations: []\nExploring Operation: 75/15=5, Resulting Numbers: [14, 7, 5]\nGenerated Node #0,0: 12:[14, 7, 5] Operation: 75/15=5\nExploring Operation: 75-15=60, Resulting Numbers: [14, 7, 60]\nGenerated Node #0,1: 12:[14, 7, 60] Operation: 75-15=60\nMoving to Node #0,0\nCurrent State: 12:[14, 7, 5], Operations: ['75/15=5']\nExploring Operation: 7+5=12, Resulting Numbers: [14, 12]\nGenerated Node #0,0,0: 12:[14, 12] Operation: 7+5=12\nExploring Operation: 14-5=9, Resulting Numbers: [7, 9]\nGenerated Node #0,0,1: 12:[7, 9] Operation: 14-5=9\nMoving to Node #0,1\nCurrent State: 12:[14, 7, 60], Operations: ['75-15=60']\nExploring Operation: 60-7=53, Resulting Numbers: [14, 53]\nGenerated Node #0,1,0: 12:[14, 53] Operation: 60-7=53\nExploring Operation: 60-14=46, Resulting Numbers: [7, 46]\nGenerated Node #0,1,1: 12:[7, 46] Operation: 60-14=46\nMoving to Node #0,0,0\nCurrent State: 12:[14, 12], Operations: ['75/15=5', '7+5=12']\nExploring Operation: 14+12=26, Resulting Numbers: [26]\n26,12 unequal: No Solution\nExploring Operation: 14-12=2, Resulting Numbers: [2]\n2,12 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 12:[7, 9], Operations: ['75/15=5', '14-5=9']\nExploring Operation: 7+9=16, Resulting Numbers: [16]\n16,12 unequal: No Solution\nExploring Operation: 9-7=2, Resulting Numbers: [2]\n2,12 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 12:[7, 46], Operations: ['75-15=60', '60-14=46']\nExploring Operation: 46-7=39, Resulting Numbers: [39]\n39,12 unequal: No Solution\nExploring Operation: 7+46=53, Resulting Numbers: [53]\n53,12 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 12:[14, 53], Operations: ['75-15=60', '60-7=53']\nExploring Operation: 53-14=39, Resulting Numbers: [39]\n39,12 unequal: No Solution\nExploring Operation: 14+53=67, Resulting Numbers: [67]\n67,12 unequal: No Solution\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [3, 81, 72, 80] using the four basic arithmetic operations (+, -, *, /) to reach 76.",
"role": "user"
},
{
"content": "Current State: 76:[3, 81, 72, 80], Operations: []\nExploring Operation: 81-3=78, Resulting Numbers: [72, 80, 78]\nGenerated Node #0,0: 76:[72, 80, 78] Operation: 81-3=78\nMoving to Node #0,0\nCurrent State: 76:[72, 80, 78], Operations: ['81-3=78']\nExploring Operation: 80-72=8, Resulting Numbers: [78, 8]\nGenerated Node #0,0,0: 76:[78, 8] Operation: 80-72=8\nMoving to Node #0,0,0\nCurrent State: 76:[78, 8], Operations: ['81-3=78', '80-72=8']\nExploring Operation: 78-8=70, Resulting Numbers: [70]\n70,76 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 76:[78, 8], Operations: ['81-3=78', '80-72=8']\nExploring Operation: 78+8=86, Resulting Numbers: [86]\n86,76 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 76:[72, 80, 78], Operations: ['81-3=78']\nExploring Operation: 78-72=6, Resulting Numbers: [80, 6]\nGenerated Node #0,0,1: 76:[80, 6] Operation: 78-72=6\nMoving to Node #0,0,1\nCurrent State: 76:[80, 6], Operations: ['81-3=78', '78-72=6']\nExploring Operation: 80-6=74, Resulting Numbers: [74]\n74,76 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 76:[80, 6], Operations: ['81-3=78', '78-72=6']\nExploring Operation: 80+6=86, Resulting Numbers: [86]\n86,76 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 76:[72, 80, 78], Operations: ['81-3=78']\nExploring Operation: 72+80=152, Resulting Numbers: [78, 152]\nGenerated Node #0,0,2: 76:[78, 152] Operation: 72+80=152\nMoving to Node #0,0,2\nCurrent State: 76:[78, 152], Operations: ['81-3=78', '72+80=152']\nExploring Operation: 152-78=74, Resulting Numbers: [74]\n74,76 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 76:[72, 80, 78], Operations: ['81-3=78']\nExploring Operation: 72+78=150, Resulting Numbers: [80, 150]\nGenerated Node #0,0,3: 76:[80, 150] Operation: 72+78=150\nMoving to Node #0,0,3\nCurrent State: 76:[80, 150], Operations: ['81-3=78', '72+78=150']\nExploring Operation: 150-80=70, Resulting Numbers: [70]\n70,76 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 76:[72, 80, 78], Operations: ['81-3=78']\nExploring Operation: 80-78=2, Resulting Numbers: [72, 2]\nGenerated Node #0,0,4: 76:[72, 2] Operation: 80-78=2\nMoving to Node #0,0,4\nCurrent State: 76:[72, 2], Operations: ['81-3=78', '80-78=2']\nExploring Operation: 72+2=74, Resulting Numbers: [74]\n74,76 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 76:[72, 2], Operations: ['81-3=78', '80-78=2']\nExploring Operation: 72-2=70, Resulting Numbers: [70]\n70,76 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 76:[72, 2], Operations: ['81-3=78', '80-78=2']\nExploring Operation: 72/2=36, Resulting Numbers: [36]\n36,76 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 76:[72, 2], Operations: ['81-3=78', '80-78=2']\nExploring Operation: 72*2=144, Resulting Numbers: [144]\n144,76 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 76:[72, 80, 78], Operations: ['81-3=78']\nExploring Operation: 80+78=158, Resulting Numbers: [72, 158]\nGenerated Node #0,0,5: 76:[72, 158] Operation: 80+78=158\nMoving to Node #0,0,5\nCurrent State: 76:[72, 158], Operations: ['81-3=78', '80+78=158']\nExploring Operation: 158-72=86, Resulting Numbers: [86]\n86,76 unequal: No Solution\nMoving to Node #0\nCurrent State: 76:[3, 81, 72, 80], Operations: []\nExploring Operation: 3+72=75, Resulting Numbers: [81, 80, 75]\nGenerated Node #0,1: 76:[81, 80, 75] Operation: 3+72=75\nMoving to Node #0,1\nCurrent State: 76:[81, 80, 75], Operations: ['3+72=75']\nExploring Operation: 81-75=6, Resulting Numbers: [80, 6]\nGenerated Node #0,1,0: 76:[80, 6] Operation: 81-75=6\nMoving to Node #0,1,0\nCurrent State: 76:[80, 6], Operations: ['3+72=75', '81-75=6']\nExploring Operation: 80-6=74, Resulting Numbers: [74]\n74,76 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 76:[80, 6], Operations: ['3+72=75', '81-75=6']\nExploring Operation: 80+6=86, Resulting Numbers: [86]\n86,76 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 76:[81, 80, 75], Operations: ['3+72=75']\nExploring Operation: 81-80=1, Resulting Numbers: [75, 1]\nGenerated Node #0,1,1: 76:[75, 1] Operation: 81-80=1\nMoving to Node #0,1,1\nCurrent State: 76:[75, 1], Operations: ['3+72=75', '81-80=1']\nExploring Operation: 75+1=76, Resulting Numbers: [76]\n76,76 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [12, 27, 84, 8] using the four basic arithmetic operations (+, -, *, /) to reach 53.",
"role": "user"
},
{
"content": "Current State: 53:[12, 27, 84, 8], Operations: []\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [39, 68, 79, 16] using the four basic arithmetic operations (+, -, *, /) to reach 66.",
"role": "user"
},
{
"content": "Current State: 66:[39, 68, 79, 16], Operations: []\nExploring Operation: 79-68=11, Resulting Numbers: [39, 16, 11]\nGenerated Node #0,0: 66:[39, 16, 11] Operation: 79-68=11\nExploring Operation: 79-16=63, Resulting Numbers: [39, 68, 63]\nGenerated Node #0,1: 66:[39, 68, 63] Operation: 79-16=63\nExploring Operation: 79-39=40, Resulting Numbers: [68, 16, 40]\nGenerated Node #0,2: 66:[68, 16, 40] Operation: 79-39=40\nMoving to Node #0,0\nCurrent State: 66:[39, 16, 11], Operations: ['79-68=11']\nExploring Operation: 39-11=28, Resulting Numbers: [16, 28]\nGenerated Node #0,0,0: 66:[16, 28] Operation: 39-11=28\nExploring Operation: 39-16=23, Resulting Numbers: [11, 23]\nGenerated Node #0,0,1: 66:[11, 23] Operation: 39-16=23\nExploring Operation: 16-11=5, Resulting Numbers: [39, 5]\nGenerated Node #0,0,2: 66:[39, 5] Operation: 16-11=5\nMoving to Node #0,1\nCurrent State: 66:[39, 68, 63], Operations: ['79-16=63']\nExploring Operation: 68-63=5, Resulting Numbers: [39, 5]\nGenerated Node #0,1,0: 66:[39, 5] Operation: 68-63=5\nExploring Operation: 68-39=29, Resulting Numbers: [63, 29]\nGenerated Node #0,1,1: 66:[63, 29] Operation: 68-39=29\nExploring Operation: 63-39=24, Resulting Numbers: [68, 24]\nGenerated Node #0,1,2: 66:[68, 24] Operation: 63-39=24\nMoving to Node #0,2\nCurrent State: 66:[68, 16, 40], Operations: ['79-39=40']\nExploring Operation: 68-40=28, Resulting Numbers: [16, 28]\nGenerated Node #0,2,0: 66:[16, 28] Operation: 68-40=28\nExploring Operation: 16+40=56, Resulting Numbers: [68, 56]\nGenerated Node #0,2,1: 66:[68, 56] Operation: 16+40=56\nExploring Operation: 40-16=24, Resulting Numbers: [68, 24]\nGenerated Node #0,2,2: 66:[68, 24] Operation: 40-16=24\nMoving to Node #0,0,1\nCurrent State: 66:[11, 23], Operations: ['79-68=11', '39-16=23']\nExploring Operation: 11*23=253, Resulting Numbers: [253]\n253,66 unequal: No Solution\nExploring Operation: 11+23=34, Resulting Numbers: [34]\n34,66 unequal: No Solution\nExploring Operation: 23-11=12, Resulting Numbers: [12]\n12,66 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 66:[68, 24], Operations: ['79-39=40', '40-16=24']\nExploring Operation: 68+24=92, Resulting Numbers: [92]\n92,66 unequal: No Solution\nExploring Operation: 68*24=1632, Resulting Numbers: [1632]\n1632,66 unequal: No Solution\nExploring Operation: 68-24=44, Resulting Numbers: [44]\n44,66 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 66:[68, 24], Operations: ['79-16=63', '63-39=24']\nExploring Operation: 68*24=1632, Resulting Numbers: [1632]\n1632,66 unequal: No Solution\nExploring Operation: 68-24=44, Resulting Numbers: [44]\n44,66 unequal: No Solution\nExploring Operation: 68+24=92, Resulting Numbers: [92]\n92,66 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 66:[63, 29], Operations: ['79-16=63', '68-39=29']\nExploring Operation: 63+29=92, Resulting Numbers: [92]\n92,66 unequal: No Solution\nExploring Operation: 63*29=1827, Resulting Numbers: [1827]\n1827,66 unequal: No Solution\nExploring Operation: 63-29=34, Resulting Numbers: [34]\n34,66 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 66:[39, 5], Operations: ['79-16=63', '68-63=5']\nExploring Operation: 39-5=34, Resulting Numbers: [34]\n34,66 unequal: No Solution\nExploring Operation: 39*5=195, Resulting Numbers: [195]\n195,66 unequal: No Solution\nExploring Operation: 39+5=44, Resulting Numbers: [44]\n44,66 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 66:[39, 5], Operations: ['79-68=11', '16-11=5']\nExploring Operation: 39+5=44, Resulting Numbers: [44]\n44,66 unequal: No Solution\nExploring Operation: 39*5=195, Resulting Numbers: [195]\n195,66 unequal: No Solution\nExploring Operation: 39-5=34, Resulting Numbers: [34]\n34,66 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 66:[16, 28], Operations: ['79-68=11', '39-11=28']\nExploring Operation: 16*28=448, Resulting Numbers: [448]\n448,66 unequal: No Solution\nExploring Operation: 16+28=44, Resulting Numbers: [44]\n44,66 unequal: No Solution\nExploring Operation: 28-16=12, Resulting Numbers: [12]\n12,66 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 66:[16, 28], Operations: ['79-39=40', '68-40=28']\nExploring Operation: 16+28=44, Resulting Numbers: [44]\n44,66 unequal: No Solution\nExploring Operation: 16*28=448, Resulting Numbers: [448]\n448,66 unequal: No Solution\nExploring Operation: 28-16=12, Resulting Numbers: [12]\n12,66 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 66:[68, 56], Operations: ['79-39=40', '16+40=56']\nExploring Operation: 68*56=3808, Resulting Numbers: [3808]\n3808,66 unequal: No Solution\nExploring Operation: 68-56=12, Resulting Numbers: [12]\n12,66 unequal: No Solution\nExploring Operation: 68+56=124, Resulting Numbers: [124]\n124,66 unequal: No Solution\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [99, 15, 67, 15] using the four basic arithmetic operations (+, -, *, /) to reach 32.",
"role": "user"
},
{
"content": "Current State: 32:[99, 15, 67, 15], Operations: []\nExploring Operation: 99-15=84, Resulting Numbers: [67, 15, 84]\nGenerated Node #0,0: 32:[67, 15, 84] Operation: 99-15=84\nExploring Operation: 99-15=84, Resulting Numbers: [15, 67, 84]\nGenerated Node #0,1: 32:[15, 67, 84] Operation: 99-15=84\nExploring Operation: 99-67=32, Resulting Numbers: [15, 15, 32]\nGenerated Node #0,2: 32:[15, 15, 32] Operation: 99-67=32\nExploring Operation: 67-15=52, Resulting Numbers: [99, 15, 52]\nGenerated Node #0,3: 32:[99, 15, 52] Operation: 67-15=52\nMoving to Node #0,2\nCurrent State: 32:[15, 15, 32], Operations: ['99-67=32']\nExploring Operation: 32-15=17, Resulting Numbers: [15, 17]\nGenerated Node #0,2,0: 32:[15, 17] Operation: 32-15=17\nExploring Operation: 15-15=0, Resulting Numbers: [32, 0]\nGenerated Node #0,2,1: 32:[32, 0] Operation: 15-15=0\nExploring Operation: 15/15=1, Resulting Numbers: [32, 1]\nGenerated Node #0,2,2: 32:[32, 1] Operation: 15/15=1\nExploring Operation: 15+15=30, Resulting Numbers: [32, 30]\nGenerated Node #0,2,3: 32:[32, 30] Operation: 15+15=30\nMoving to Node #0,1\nCurrent State: 32:[15, 67, 84], Operations: ['99-15=84']\nExploring Operation: 84-67=17, Resulting Numbers: [15, 17]\nGenerated Node #0,1,0: 32:[15, 17] Operation: 84-67=17\nExploring Operation: 84-15=69, Resulting Numbers: [67, 69]\nGenerated Node #0,1,1: 32:[67, 69] Operation: 84-15=69\nExploring Operation: 15+67=82, Resulting Numbers: [84, 82]\nGenerated Node #0,1,2: 32:[84, 82] Operation: 15+67=82\nExploring Operation: 67-15=52, Resulting Numbers: [84, 52]\nGenerated Node #0,1,3: 32:[84, 52] Operation: 67-15=52\nMoving to Node #0,0\nCurrent State: 32:[67, 15, 84], Operations: ['99-15=84']\nExploring Operation: 67+15=82, Resulting Numbers: [84, 82]\nGenerated Node #0,0,0: 32:[84, 82] Operation: 67+15=82\nExploring Operation: 67-15=52, Resulting Numbers: [84, 52]\nGenerated Node #0,0,1: 32:[84, 52] Operation: 67-15=52\nExploring Operation: 84-15=69, Resulting Numbers: [67, 69]\nGenerated Node #0,0,2: 32:[67, 69] Operation: 84-15=69\nExploring Operation: 84-67=17, Resulting Numbers: [15, 17]\nGenerated Node #0,0,3: 32:[15, 17] Operation: 84-67=17\nMoving to Node #0,3\nCurrent State: 32:[99, 15, 52], Operations: ['67-15=52']\nExploring Operation: 99-15=84, Resulting Numbers: [52, 84]\nGenerated Node #0,3,0: 32:[52, 84] Operation: 99-15=84\nExploring Operation: 52-15=37, Resulting Numbers: [99, 37]\nGenerated Node #0,3,1: 32:[99, 37] Operation: 52-15=37\nExploring Operation: 99+15=114, Resulting Numbers: [52, 114]\nGenerated Node #0,3,2: 32:[52, 114] Operation: 99+15=114\nExploring Operation: 99-52=47, Resulting Numbers: [15, 47]\nGenerated Node #0,3,3: 32:[15, 47] Operation: 99-52=47\nMoving to Node #0,2,2\nCurrent State: 32:[32, 1], Operations: ['99-67=32', '15/15=1']\nExploring Operation: 32/1=32, Resulting Numbers: [32]\n32,32 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [31, 3, 54, 89] using the four basic arithmetic operations (+, -, *, /) to reach 63.",
"role": "user"
},
{
"content": "Current State: 63:[31, 3, 54, 89], Operations: []\nExploring Operation: 89-31=58, Resulting Numbers: [3, 54, 58]\nGenerated Node #0,0: 63:[3, 54, 58] Operation: 89-31=58\nMoving to Node #0,0\nCurrent State: 63:[3, 54, 58], Operations: ['89-31=58']\nExploring Operation: 58-54=4, Resulting Numbers: [3, 4]\nGenerated Node #0,0,0: 63:[3, 4] Operation: 58-54=4\nMoving to Node #0,0,0\nCurrent State: 63:[3, 4], Operations: ['89-31=58', '58-54=4']\nExploring Operation: 3+4=7, Resulting Numbers: [7]\n7,63 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 63:[3, 4], Operations: ['89-31=58', '58-54=4']\nExploring Operation: 4-3=1, Resulting Numbers: [1]\n1,63 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 63:[3, 4], Operations: ['89-31=58', '58-54=4']\nExploring Operation: 3*4=12, Resulting Numbers: [12]\n12,63 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 63:[3, 54, 58], Operations: ['89-31=58']\nExploring Operation: 54/3=18, Resulting Numbers: [58, 18]\nGenerated Node #0,0,1: 63:[58, 18] Operation: 54/3=18\nMoving to Node #0,0,1\nCurrent State: 63:[58, 18], Operations: ['89-31=58', '54/3=18']\nExploring Operation: 58+18=76, Resulting Numbers: [76]\n76,63 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 63:[58, 18], Operations: ['89-31=58', '54/3=18']\nExploring Operation: 58-18=40, Resulting Numbers: [40]\n40,63 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 63:[3, 54, 58], Operations: ['89-31=58']\nExploring Operation: 3+54=57, Resulting Numbers: [58, 57]\nGenerated Node #0,0,2: 63:[58, 57] Operation: 3+54=57\nMoving to Node #0,0,2\nCurrent State: 63:[58, 57], Operations: ['89-31=58', '3+54=57']\nExploring Operation: 58-57=1, Resulting Numbers: [1]\n1,63 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 63:[58, 57], Operations: ['89-31=58', '3+54=57']\nExploring Operation: 58+57=115, Resulting Numbers: [115]\n115,63 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 63:[3, 54, 58], Operations: ['89-31=58']\nExploring Operation: 3+58=61, Resulting Numbers: [54, 61]\nGenerated Node #0,0,3: 63:[54, 61] Operation: 3+58=61\nMoving to Node #0,0,3\nCurrent State: 63:[54, 61], Operations: ['89-31=58', '3+58=61']\nExploring Operation: 61-54=7, Resulting Numbers: [7]\n7,63 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 63:[54, 61], Operations: ['89-31=58', '3+58=61']\nExploring Operation: 54+61=115, Resulting Numbers: [115]\n115,63 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 63:[3, 54, 58], Operations: ['89-31=58']\nExploring Operation: 54-3=51, Resulting Numbers: [58, 51]\nGenerated Node #0,0,4: 63:[58, 51] Operation: 54-3=51\nMoving to Node #0,0,4\nCurrent State: 63:[58, 51], Operations: ['89-31=58', '54-3=51']\nExploring Operation: 58-51=7, Resulting Numbers: [7]\n7,63 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 63:[58, 51], Operations: ['89-31=58', '54-3=51']\nExploring Operation: 58+51=109, Resulting Numbers: [109]\n109,63 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 63:[3, 54, 58], Operations: ['89-31=58']\nExploring Operation: 58-3=55, Resulting Numbers: [54, 55]\nGenerated Node #0,0,5: 63:[54, 55] Operation: 58-3=55\nMoving to Node #0,0,5\nCurrent State: 63:[54, 55], Operations: ['89-31=58', '58-3=55']\nExploring Operation: 55-54=1, Resulting Numbers: [1]\n1,63 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 63:[54, 55], Operations: ['89-31=58', '58-3=55']\nExploring Operation: 54+55=109, Resulting Numbers: [109]\n109,63 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 63:[3, 54, 58], Operations: ['89-31=58']\nExploring Operation: 54+58=112, Resulting Numbers: [3, 112]\nGenerated Node #0,0,6: 63:[3, 112] Operation: 54+58=112\nMoving to Node #0,0,6\nCurrent State: 63:[3, 112], Operations: ['89-31=58', '54+58=112']\nExploring Operation: 112-3=109, Resulting Numbers: [109]\n109,63 unequal: No Solution\nMoving to Node #0,0,6\nCurrent State: 63:[3, 112], Operations: ['89-31=58', '54+58=112']\nExploring Operation: 3+112=115, Resulting Numbers: [115]\n115,63 unequal: No Solution\nMoving to Node #0\nCurrent State: 63:[31, 3, 54, 89], Operations: []\nExploring Operation: 89-54=35, Resulting Numbers: [31, 3, 35]\nGenerated Node #0,1: 63:[31, 3, 35] Operation: 89-54=35\nMoving to Node #0,1\nCurrent State: 63:[31, 3, 35], Operations: ['89-54=35']\nExploring Operation: 35-31=4, Resulting Numbers: [3, 4]\nGenerated Node #0,1,0: 63:[3, 4] Operation: 35-31=4\nMoving to Node #0,1,0\nCurrent State: 63:[3, 4], Operations: ['89-54=35', '35-31=4']\nExploring Operation: 3+4=7, Resulting Numbers: [7]\n7,63 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 63:[3, 4], Operations: ['89-54=35', '35-31=4']\nExploring Operation: 4-3=1, Resulting Numbers: [1]\n1,63 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 63:[3, 4], Operations: ['89-54=35', '35-31=4']\nExploring Operation: 3*4=12, Resulting Numbers: [12]\n12,63 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 63:[31, 3, 35], Operations: ['89-54=35']\nExploring Operation: 31+35=66, Resulting Numbers: [3, 66]\nGenerated Node #0,1,1: 63:[3, 66] Operation: 31+35=66\nMoving to Node #0,1,1\nCurrent State: 63:[3, 66], Operations: ['89-54=35', '31+35=66']\nExploring Operation: 66-3=63, Resulting Numbers: [63]\n63,63 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [87, 97, 12, 66] using the four basic arithmetic operations (+, -, *, /) to reach 54.",
"role": "user"
},
{
"content": "Current State: 54:[87, 97, 12, 66], Operations: []\nExploring Operation: 97-87=10, Resulting Numbers: [12, 66, 10]\nGenerated Node #0,0: 54:[12, 66, 10] Operation: 97-87=10\nMoving to Node #0,0\nCurrent State: 54:[12, 66, 10], Operations: ['97-87=10']\nExploring Operation: 66-12=54, Resulting Numbers: [10, 54]\nGenerated Node #0,0,0: 54:[10, 54] Operation: 66-12=54\nMoving to Node #0,0,0\nCurrent State: 54:[10, 54], Operations: ['97-87=10', '66-12=54']\nExploring Operation: 10+54=64, Resulting Numbers: [64]\n64,54 unequal: No Solution\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [99, 52, 65, 4] using the four basic arithmetic operations (+, -, *, /) to reach 82.",
"role": "user"
},
{
"content": "Current State: 82:[99, 52, 65, 4], Operations: []\nExploring Operation: 99-4=95, Resulting Numbers: [52, 65, 95]\nGenerated Node #0,0: 82:[52, 65, 95] Operation: 99-4=95\nMoving to Node #0,0\nCurrent State: 82:[52, 65, 95], Operations: ['99-4=95']\nExploring Operation: 52+65=117, Resulting Numbers: [95, 117]\nGenerated Node #0,0,0: 82:[95, 117] Operation: 52+65=117\nMoving to Node #0,0,0\nCurrent State: 82:[95, 117], Operations: ['99-4=95', '52+65=117']\nExploring Operation: 117-95=22, Resulting Numbers: [22]\n22,82 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 82:[52, 65, 95], Operations: ['99-4=95']\nExploring Operation: 95-52=43, Resulting Numbers: [65, 43]\nGenerated Node #0,0,1: 82:[65, 43] Operation: 95-52=43\nMoving to Node #0,0,1\nCurrent State: 82:[65, 43], Operations: ['99-4=95', '95-52=43']\nExploring Operation: 65+43=108, Resulting Numbers: [108]\n108,82 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 82:[65, 43], Operations: ['99-4=95', '95-52=43']\nExploring Operation: 65-43=22, Resulting Numbers: [22]\n22,82 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 82:[52, 65, 95], Operations: ['99-4=95']\nExploring Operation: 65-52=13, Resulting Numbers: [95, 13]\nGenerated Node #0,0,2: 82:[95, 13] Operation: 65-52=13\nMoving to Node #0,0,2\nCurrent State: 82:[95, 13], Operations: ['99-4=95', '65-52=13']\nExploring Operation: 95-13=82, Resulting Numbers: [82]\n82,82 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [60, 15, 71, 8] using the four basic arithmetic operations (+, -, *, /) to reach 59.",
"role": "user"
},
{
"content": "Current State: 59:[60, 15, 71, 8], Operations: []\nExploring Operation: 15+8=23, Resulting Numbers: [60, 71, 23]\nGenerated Node #0,0: 59:[60, 71, 23] Operation: 15+8=23\nMoving to Node #0,0\nCurrent State: 59:[60, 71, 23], Operations: ['15+8=23']\nExploring Operation: 71-23=48, Resulting Numbers: [60, 48]\nGenerated Node #0,0,0: 59:[60, 48] Operation: 71-23=48\nMoving to Node #0,0,0\nCurrent State: 59:[60, 48], Operations: ['15+8=23', '71-23=48']\nExploring Operation: 60-48=12, Resulting Numbers: [12]\n12,59 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 59:[60, 48], Operations: ['15+8=23', '71-23=48']\nExploring Operation: 60+48=108, Resulting Numbers: [108]\n108,59 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 59:[60, 71, 23], Operations: ['15+8=23']\nExploring Operation: 60-23=37, Resulting Numbers: [71, 37]\nGenerated Node #0,0,1: 59:[71, 37] Operation: 60-23=37\nMoving to Node #0,0,1\nCurrent State: 59:[71, 37], Operations: ['15+8=23', '60-23=37']\nExploring Operation: 71-37=34, Resulting Numbers: [34]\n34,59 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 59:[71, 37], Operations: ['15+8=23', '60-23=37']\nExploring Operation: 71+37=108, Resulting Numbers: [108]\n108,59 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 59:[60, 71, 23], Operations: ['15+8=23']\nExploring Operation: 60+23=83, Resulting Numbers: [71, 83]\nGenerated Node #0,0,2: 59:[71, 83] Operation: 60+23=83\nMoving to Node #0,0,2\nCurrent State: 59:[71, 83], Operations: ['15+8=23', '60+23=83']\nExploring Operation: 83-71=12, Resulting Numbers: [12]\n12,59 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 59:[60, 71, 23], Operations: ['15+8=23']\nExploring Operation: 71+23=94, Resulting Numbers: [60, 94]\nGenerated Node #0,0,3: 59:[60, 94] Operation: 71+23=94\nMoving to Node #0,0,3\nCurrent State: 59:[60, 94], Operations: ['15+8=23', '71+23=94']\nExploring Operation: 94-60=34, Resulting Numbers: [34]\n34,59 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 59:[60, 71, 23], Operations: ['15+8=23']\nExploring Operation: 71-60=11, Resulting Numbers: [23, 11]\nGenerated Node #0,0,4: 59:[23, 11] Operation: 71-60=11\nMoving to Node #0,0,4\nCurrent State: 59:[23, 11], Operations: ['15+8=23', '71-60=11']\nExploring Operation: 23+11=34, Resulting Numbers: [34]\n34,59 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 59:[23, 11], Operations: ['15+8=23', '71-60=11']\nExploring Operation: 23-11=12, Resulting Numbers: [12]\n12,59 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 59:[60, 71, 23], Operations: ['15+8=23']\nExploring Operation: 60+71=131, Resulting Numbers: [23, 131]\nGenerated Node #0,0,5: 59:[23, 131] Operation: 60+71=131\nMoving to Node #0,0,5\nCurrent State: 59:[23, 131], Operations: ['15+8=23', '60+71=131']\nExploring Operation: 131-23=108, Resulting Numbers: [108]\n108,59 unequal: No Solution\nMoving to Node #0\nCurrent State: 59:[60, 15, 71, 8], Operations: []\nExploring Operation: 71-8=63, Resulting Numbers: [60, 15, 63]\nGenerated Node #0,1: 59:[60, 15, 63] Operation: 71-8=63\nMoving to Node #0,1\nCurrent State: 59:[60, 15, 63], Operations: ['71-8=63']\nExploring Operation: 63-15=48, Resulting Numbers: [60, 48]\nGenerated Node #0,1,0: 59:[60, 48] Operation: 63-15=48\nMoving to Node #0,1,0\nCurrent State: 59:[60, 48], Operations: ['71-8=63', '63-15=48']\nExploring Operation: 60-48=12, Resulting Numbers: [12]\n12,59 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 59:[60, 48], Operations: ['71-8=63', '63-15=48']\nExploring Operation: 60+48=108, Resulting Numbers: [108]\n108,59 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 59:[60, 15, 63], Operations: ['71-8=63']\nExploring Operation: 60-15=45, Resulting Numbers: [63, 45]\nGenerated Node #0,1,1: 59:[63, 45] Operation: 60-15=45\nMoving to Node #0,1,1\nCurrent State: 59:[63, 45], Operations: ['71-8=63', '60-15=45']\nExploring Operation: 63-45=18, Resulting Numbers: [18]\n18,59 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 59:[63, 45], Operations: ['71-8=63', '60-15=45']\nExploring Operation: 63+45=108, Resulting Numbers: [108]\n108,59 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 59:[60, 15, 63], Operations: ['71-8=63']\nExploring Operation: 60+15=75, Resulting Numbers: [63, 75]\nGenerated Node #0,1,2: 59:[63, 75] Operation: 60+15=75\nMoving to Node #0,1,2\nCurrent State: 59:[63, 75], Operations: ['71-8=63', '60+15=75']\nExploring Operation: 75-63=12, Resulting Numbers: [12]\n12,59 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 59:[60, 15, 63], Operations: ['71-8=63']\nExploring Operation: 15+63=78, Resulting Numbers: [60, 78]\nGenerated Node #0,1,3: 59:[60, 78] Operation: 15+63=78\nMoving to Node #0,1,3\nCurrent State: 59:[60, 78], Operations: ['71-8=63', '15+63=78']\nExploring Operation: 78-60=18, Resulting Numbers: [18]\n18,59 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 59:[60, 15, 63], Operations: ['71-8=63']\nExploring Operation: 60/15=4, Resulting Numbers: [63, 4]\nGenerated Node #0,1,4: 59:[63, 4] Operation: 60/15=4\nMoving to Node #0,1,4\nCurrent State: 59:[63, 4], Operations: ['71-8=63', '60/15=4']\nExploring Operation: 63-4=59, Resulting Numbers: [59]\n59,59 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [57, 29, 31, 57] using the four basic arithmetic operations (+, -, *, /) to reach 61.",
"role": "user"
},
{
"content": "Current State: 61:[57, 29, 31, 57], Operations: []\nExploring Operation: 29+31=60, Resulting Numbers: [57, 57, 60]\nGenerated Node #0,0: 61:[57, 57, 60] Operation: 29+31=60\nMoving to Node #0,0\nCurrent State: 61:[57, 57, 60], Operations: ['29+31=60']\nExploring Operation: 57+57=114, Resulting Numbers: [60, 114]\nGenerated Node #0,0,0: 61:[60, 114] Operation: 57+57=114\nMoving to Node #0,0,0\nCurrent State: 61:[60, 114], Operations: ['29+31=60', '57+57=114']\nExploring Operation: 114-60=54, Resulting Numbers: [54]\n54,61 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 61:[57, 57, 60], Operations: ['29+31=60']\nExploring Operation: 57+60=117, Resulting Numbers: [57, 117]\nGenerated Node #0,0,1: 61:[57, 117] Operation: 57+60=117\nMoving to Node #0,0,1\nCurrent State: 61:[57, 117], Operations: ['29+31=60', '57+60=117']\nExploring Operation: 117-57=60, Resulting Numbers: [60]\n60,61 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 61:[57, 57, 60], Operations: ['29+31=60']\nExploring Operation: 57+60=117, Resulting Numbers: [57, 117]\nGenerated Node #0,0,2: 61:[57, 117] Operation: 57+60=117\nMoving to Node #0,0,2\nCurrent State: 61:[57, 117], Operations: ['29+31=60', '57+60=117']\nExploring Operation: 117-57=60, Resulting Numbers: [60]\n60,61 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 61:[57, 57, 60], Operations: ['29+31=60']\nExploring Operation: 57/57=1, Resulting Numbers: [60, 1]\nGenerated Node #0,0,3: 61:[60, 1] Operation: 57/57=1\nMoving to Node #0,0,3\nCurrent State: 61:[60, 1], Operations: ['29+31=60', '57/57=1']\nExploring Operation: 60+1=61, Resulting Numbers: [61]\n61,61 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [75, 72, 96, 41] using the four basic arithmetic operations (+, -, *, /) to reach 73.",
"role": "user"
},
{
"content": "Current State: 73:[75, 72, 96, 41], Operations: []\nExploring Operation: 96-41=55, Resulting Numbers: [75, 72, 55]\nGenerated Node #0,0: 73:[75, 72, 55] Operation: 96-41=55\nExploring Operation: 75-41=34, Resulting Numbers: [72, 96, 34]\nGenerated Node #0,1: 73:[72, 96, 34] Operation: 75-41=34\nExploring Operation: 72+41=113, Resulting Numbers: [75, 96, 113]\nGenerated Node #0,2: 73:[75, 96, 113] Operation: 72+41=113\nMoving to Node #0,0\nCurrent State: 73:[75, 72, 55], Operations: ['96-41=55']\nExploring Operation: 72+55=127, Resulting Numbers: [75, 127]\nGenerated Node #0,0,0: 73:[75, 127] Operation: 72+55=127\nExploring Operation: 75+55=130, Resulting Numbers: [72, 130]\nGenerated Node #0,0,1: 73:[72, 130] Operation: 75+55=130\nExploring Operation: 75-55=20, Resulting Numbers: [72, 20]\nGenerated Node #0,0,2: 73:[72, 20] Operation: 75-55=20\nMoving to Node #0,1\nCurrent State: 73:[72, 96, 34], Operations: ['75-41=34']\nExploring Operation: 72+34=106, Resulting Numbers: [96, 106]\nGenerated Node #0,1,0: 73:[96, 106] Operation: 72+34=106\nExploring Operation: 96-34=62, Resulting Numbers: [72, 62]\nGenerated Node #0,1,1: 73:[72, 62] Operation: 96-34=62\nExploring Operation: 72-34=38, Resulting Numbers: [96, 38]\nGenerated Node #0,1,2: 73:[96, 38] Operation: 72-34=38\nMoving to Node #0,2\nCurrent State: 73:[75, 96, 113], Operations: ['72+41=113']\nExploring Operation: 96-75=21, Resulting Numbers: [113, 21]\nGenerated Node #0,2,0: 73:[113, 21] Operation: 96-75=21\nExploring Operation: 113-75=38, Resulting Numbers: [96, 38]\nGenerated Node #0,2,1: 73:[96, 38] Operation: 113-75=38\nExploring Operation: 113-96=17, Resulting Numbers: [75, 17]\nGenerated Node #0,2,2: 73:[75, 17] Operation: 113-96=17\nMoving to Node #0,1,1\nCurrent State: 73:[72, 62], Operations: ['75-41=34', '96-34=62']\nExploring Operation: 72*62=4464, Resulting Numbers: [4464]\n4464,73 unequal: No Solution\nExploring Operation: 72+62=134, Resulting Numbers: [134]\n134,73 unequal: No Solution\nExploring Operation: 72-62=10, Resulting Numbers: [10]\n10,73 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 73:[72, 20], Operations: ['96-41=55', '75-55=20']\nExploring Operation: 72-20=52, Resulting Numbers: [52]\n52,73 unequal: No Solution\nExploring Operation: 72+20=92, Resulting Numbers: [92]\n92,73 unequal: No Solution\nExploring Operation: 72*20=1440, Resulting Numbers: [1440]\n1440,73 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 73:[96, 106], Operations: ['75-41=34', '72+34=106']\nExploring Operation: 106-96=10, Resulting Numbers: [10]\n10,73 unequal: No Solution\nExploring Operation: 96+106=202, Resulting Numbers: [202]\n202,73 unequal: No Solution\nExploring Operation: 96*106=10176, Resulting Numbers: [10176]\n10176,73 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 73:[75, 127], Operations: ['96-41=55', '72+55=127']\nExploring Operation: 127-75=52, Resulting Numbers: [52]\n52,73 unequal: No Solution\nExploring Operation: 75*127=9525, Resulting Numbers: [9525]\n9525,73 unequal: No Solution\nExploring Operation: 75+127=202, Resulting Numbers: [202]\n202,73 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 73:[72, 130], Operations: ['96-41=55', '75+55=130']\nExploring Operation: 130-72=58, Resulting Numbers: [58]\n58,73 unequal: No Solution\nExploring Operation: 72*130=9360, Resulting Numbers: [9360]\n9360,73 unequal: No Solution\nExploring Operation: 72+130=202, Resulting Numbers: [202]\n202,73 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 73:[96, 38], Operations: ['75-41=34', '72-34=38']\nExploring Operation: 96+38=134, Resulting Numbers: [134]\n134,73 unequal: No Solution\nExploring Operation: 96-38=58, Resulting Numbers: [58]\n58,73 unequal: No Solution\nExploring Operation: 96*38=3648, Resulting Numbers: [3648]\n3648,73 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 73:[75, 17], Operations: ['72+41=113', '113-96=17']\nExploring Operation: 75*17=1275, Resulting Numbers: [1275]\n1275,73 unequal: No Solution\nExploring Operation: 75+17=92, Resulting Numbers: [92]\n92,73 unequal: No Solution\nExploring Operation: 75-17=58, Resulting Numbers: [58]\n58,73 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 73:[96, 38], Operations: ['72+41=113', '113-75=38']\nExploring Operation: 96+38=134, Resulting Numbers: [134]\n134,73 unequal: No Solution\nExploring Operation: 96-38=58, Resulting Numbers: [58]\n58,73 unequal: No Solution\nExploring Operation: 96*38=3648, Resulting Numbers: [3648]\n3648,73 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 73:[113, 21], Operations: ['72+41=113', '96-75=21']\nExploring Operation: 113*21=2373, Resulting Numbers: [2373]\n2373,73 unequal: No Solution\nExploring Operation: 113+21=134, Resulting Numbers: [134]\n134,73 unequal: No Solution\nExploring Operation: 113-21=92, Resulting Numbers: [92]\n92,73 unequal: No Solution\n",
"role": "assistant"
}
] | true
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [4, 12, 47, 6] using the four basic arithmetic operations (+, -, *, /) to reach 38.",
"role": "user"
},
{
"content": "Current State: 38:[4, 12, 47, 6], Operations: []\nExploring Operation: 4*6=24, Resulting Numbers: [12, 47, 24]\nGenerated Node #0,0: 38:[12, 47, 24] Operation: 4*6=24\nMoving to Node #0,0\nCurrent State: 38:[12, 47, 24], Operations: ['4*6=24']\nExploring Operation: 12+24=36, Resulting Numbers: [47, 36]\nGenerated Node #0,0,0: 38:[47, 36] Operation: 12+24=36\nMoving to Node #0,0,0\nCurrent State: 38:[47, 36], Operations: ['4*6=24', '12+24=36']\nExploring Operation: 47-36=11, Resulting Numbers: [11]\n11,38 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 38:[12, 47, 24], Operations: ['4*6=24']\nExploring Operation: 47-12=35, Resulting Numbers: [24, 35]\nGenerated Node #0,0,1: 38:[24, 35] Operation: 47-12=35\nMoving to Node #0,0,1\nCurrent State: 38:[24, 35], Operations: ['4*6=24', '47-12=35']\nExploring Operation: 24+35=59, Resulting Numbers: [59]\n59,38 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 38:[24, 35], Operations: ['4*6=24', '47-12=35']\nExploring Operation: 35-24=11, Resulting Numbers: [11]\n11,38 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 38:[12, 47, 24], Operations: ['4*6=24']\nExploring Operation: 12+47=59, Resulting Numbers: [24, 59]\nGenerated Node #0,0,2: 38:[24, 59] Operation: 12+47=59\nMoving to Node #0,0,2\nCurrent State: 38:[24, 59], Operations: ['4*6=24', '12+47=59']\nExploring Operation: 59-24=35, Resulting Numbers: [35]\n35,38 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 38:[12, 47, 24], Operations: ['4*6=24']\nExploring Operation: 24-12=12, Resulting Numbers: [47, 12]\nGenerated Node #0,0,3: 38:[47, 12] Operation: 24-12=12\nMoving to Node #0,0,3\nCurrent State: 38:[47, 12], Operations: ['4*6=24', '24-12=12']\nExploring Operation: 47-12=35, Resulting Numbers: [35]\n35,38 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 38:[47, 12], Operations: ['4*6=24', '24-12=12']\nExploring Operation: 47+12=59, Resulting Numbers: [59]\n59,38 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 38:[12, 47, 24], Operations: ['4*6=24']\nExploring Operation: 47-24=23, Resulting Numbers: [12, 23]\nGenerated Node #0,0,4: 38:[12, 23] Operation: 47-24=23\nMoving to Node #0,0,4\nCurrent State: 38:[12, 23], Operations: ['4*6=24', '47-24=23']\nExploring Operation: 12+23=35, Resulting Numbers: [35]\n35,38 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 38:[12, 23], Operations: ['4*6=24', '47-24=23']\nExploring Operation: 23-12=11, Resulting Numbers: [11]\n11,38 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 38:[12, 47, 24], Operations: ['4*6=24']\nExploring Operation: 24/12=2, Resulting Numbers: [47, 2]\nGenerated Node #0,0,5: 38:[47, 2] Operation: 24/12=2\nMoving to Node #0,0,5\nCurrent State: 38:[47, 2], Operations: ['4*6=24', '24/12=2']\nExploring Operation: 47-2=45, Resulting Numbers: [45]\n45,38 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 38:[47, 2], Operations: ['4*6=24', '24/12=2']\nExploring Operation: 47+2=49, Resulting Numbers: [49]\n49,38 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 38:[12, 47, 24], Operations: ['4*6=24']\nExploring Operation: 47+24=71, Resulting Numbers: [12, 71]\nGenerated Node #0,0,6: 38:[12, 71] Operation: 47+24=71\nMoving to Node #0,0,6\nCurrent State: 38:[12, 71], Operations: ['4*6=24', '47+24=71']\nExploring Operation: 71-12=59, Resulting Numbers: [59]\n59,38 unequal: No Solution\nMoving to Node #0\nCurrent State: 38:[4, 12, 47, 6], Operations: []\nExploring Operation: 4*12=48, Resulting Numbers: [47, 6, 48]\nGenerated Node #0,1: 38:[47, 6, 48] Operation: 4*12=48\nMoving to Node #0,1\nCurrent State: 38:[47, 6, 48], Operations: ['4*12=48']\nExploring Operation: 47-6=41, Resulting Numbers: [48, 41]\nGenerated Node #0,1,0: 38:[48, 41] Operation: 47-6=41\nMoving to Node #0,1,0\nCurrent State: 38:[48, 41], Operations: ['4*12=48', '47-6=41']\nExploring Operation: 48-41=7, Resulting Numbers: [7]\n7,38 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 38:[47, 6, 48], Operations: ['4*12=48']\nExploring Operation: 48-6=42, Resulting Numbers: [47, 42]\nGenerated Node #0,1,1: 38:[47, 42] Operation: 48-6=42\nMoving to Node #0,1,1\nCurrent State: 38:[47, 42], Operations: ['4*12=48', '48-6=42']\nExploring Operation: 47-42=5, Resulting Numbers: [5]\n5,38 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 38:[47, 6, 48], Operations: ['4*12=48']\nExploring Operation: 47+6=53, Resulting Numbers: [48, 53]\nGenerated Node #0,1,2: 38:[48, 53] Operation: 47+6=53\nMoving to Node #0,1,2\nCurrent State: 38:[48, 53], Operations: ['4*12=48', '47+6=53']\nExploring Operation: 53-48=5, Resulting Numbers: [5]\n5,38 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 38:[47, 6, 48], Operations: ['4*12=48']\nExploring Operation: 6+48=54, Resulting Numbers: [47, 54]\nGenerated Node #0,1,3: 38:[47, 54] Operation: 6+48=54\nMoving to Node #0,1,3\nCurrent State: 38:[47, 54], Operations: ['4*12=48', '6+48=54']\nExploring Operation: 54-47=7, Resulting Numbers: [7]\n7,38 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 38:[47, 6, 48], Operations: ['4*12=48']\nExploring Operation: 48/6=8, Resulting Numbers: [47, 8]\nGenerated Node #0,1,4: 38:[47, 8] Operation: 48/6=8\nMoving to Node #0,1,4\nCurrent State: 38:[47, 8], Operations: ['4*12=48', '48/6=8']\nExploring Operation: 47-8=39, Resulting Numbers: [39]\n39,38 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 38:[47, 8], Operations: ['4*12=48', '48/6=8']\nExploring Operation: 47+8=55, Resulting Numbers: [55]\n55,38 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 38:[47, 6, 48], Operations: ['4*12=48']\nExploring Operation: 48-47=1, Resulting Numbers: [6, 1]\nGenerated Node #0,1,5: 38:[6, 1] Operation: 48-47=1\nMoving to Node #0,1,5\nCurrent State: 38:[6, 1], Operations: ['4*12=48', '48-47=1']\nExploring Operation: 6+1=7, Resulting Numbers: [7]\n7,38 unequal: No Solution\nMoving to Node #0,1,5\nCurrent State: 38:[6, 1], Operations: ['4*12=48', '48-47=1']\nExploring Operation: 6*1=6, Resulting Numbers: [6]\n6,38 unequal: No Solution\nMoving to Node #0,1,5\nCurrent State: 38:[6, 1], Operations: ['4*12=48', '48-47=1']\nExploring Operation: 6/1=6, Resulting Numbers: [6]\n6,38 unequal: No Solution\nMoving to Node #0,1,5\nCurrent State: 38:[6, 1], Operations: ['4*12=48', '48-47=1']\nExploring Operation: 6-1=5, Resulting Numbers: [5]\n5,38 unequal: No Solution\nMoving to Node #0\nCurrent State: 38:[4, 12, 47, 6], Operations: []\nExploring Operation: 4+12=16, Resulting Numbers: [47, 6, 16]\nGenerated Node #0,2: 38:[47, 6, 16] Operation: 4+12=16\nMoving to Node #0,2\nCurrent State: 38:[47, 6, 16], Operations: ['4+12=16']\nExploring Operation: 47-6=41, Resulting Numbers: [16, 41]\nGenerated Node #0,2,0: 38:[16, 41] Operation: 47-6=41\nMoving to Node #0,2,0\nCurrent State: 38:[16, 41], Operations: ['4+12=16', '47-6=41']\nExploring Operation: 41-16=25, Resulting Numbers: [25]\n25,38 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 38:[16, 41], Operations: ['4+12=16', '47-6=41']\nExploring Operation: 16+41=57, Resulting Numbers: [57]\n57,38 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 38:[47, 6, 16], Operations: ['4+12=16']\nExploring Operation: 6+16=22, Resulting Numbers: [47, 22]\nGenerated Node #0,2,1: 38:[47, 22] Operation: 6+16=22\nMoving to Node #0,2,1\nCurrent State: 38:[47, 22], Operations: ['4+12=16', '6+16=22']\nExploring Operation: 47-22=25, Resulting Numbers: [25]\n25,38 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 38:[47, 22], Operations: ['4+12=16', '6+16=22']\nExploring Operation: 47+22=69, Resulting Numbers: [69]\n69,38 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 38:[47, 6, 16], Operations: ['4+12=16']\nExploring Operation: 47+6=53, Resulting Numbers: [16, 53]\nGenerated Node #0,2,2: 38:[16, 53] Operation: 47+6=53\nMoving to Node #0,2,2\nCurrent State: 38:[16, 53], Operations: ['4+12=16', '47+6=53']\nExploring Operation: 53-16=37, Resulting Numbers: [37]\n37,38 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 38:[16, 53], Operations: ['4+12=16', '47+6=53']\nExploring Operation: 16+53=69, Resulting Numbers: [69]\n69,38 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 38:[47, 6, 16], Operations: ['4+12=16']\nExploring Operation: 16-6=10, Resulting Numbers: [47, 10]\nGenerated Node #0,2,3: 38:[47, 10] Operation: 16-6=10\nMoving to Node #0,2,3\nCurrent State: 38:[47, 10], Operations: ['4+12=16', '16-6=10']\nExploring Operation: 47-10=37, Resulting Numbers: [37]\n37,38 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 38:[47, 10], Operations: ['4+12=16', '16-6=10']\nExploring Operation: 47+10=57, Resulting Numbers: [57]\n57,38 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 38:[47, 6, 16], Operations: ['4+12=16']\nExploring Operation: 47-16=31, Resulting Numbers: [6, 31]\nGenerated Node #0,2,4: 38:[6, 31] Operation: 47-16=31\nMoving to Node #0,2,4\nCurrent State: 38:[6, 31], Operations: ['4+12=16', '47-16=31']\nExploring Operation: 6+31=37, Resulting Numbers: [37]\n37,38 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 38:[6, 31], Operations: ['4+12=16', '47-16=31']\nExploring Operation: 31-6=25, Resulting Numbers: [25]\n25,38 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 38:[47, 6, 16], Operations: ['4+12=16']\nExploring Operation: 47+16=63, Resulting Numbers: [6, 63]\nGenerated Node #0,2,5: 38:[6, 63] Operation: 47+16=63\nMoving to Node #0,2,5\nCurrent State: 38:[6, 63], Operations: ['4+12=16', '47+16=63']\nExploring Operation: 63-6=57, Resulting Numbers: [57]\n57,38 unequal: No Solution\nMoving to Node #0,2,5\nCurrent State: 38:[6, 63], Operations: ['4+12=16', '47+16=63']\nExploring Operation: 6+63=69, Resulting Numbers: [69]\n69,38 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 38:[47, 6, 16], Operations: ['4+12=16']\nExploring Operation: 6*16=96, Resulting Numbers: [47, 96]\nGenerated Node #0,2,6: 38:[47, 96] Operation: 6*16=96\nMoving to Node #0,2,6\nCurrent State: 38:[47, 96], Operations: ['4+12=16', '6*16=96']\nExploring Operation: 96-47=49, Resulting Numbers: [49]\n49,38 unequal: No Solution\nMoving to Node #0\nCurrent State: 38:[4, 12, 47, 6], Operations: []\nExploring Operation: 47-4=43, Resulting Numbers: [12, 6, 43]\nGenerated Node #0,3: 38:[12, 6, 43] Operation: 47-4=43\nMoving to Node #0,3\nCurrent State: 38:[12, 6, 43], Operations: ['47-4=43']\nExploring Operation: 12+6=18, Resulting Numbers: [43, 18]\nGenerated Node #0,3,0: 38:[43, 18] Operation: 12+6=18\nMoving to Node #0,3,0\nCurrent State: 38:[43, 18], Operations: ['47-4=43', '12+6=18']\nExploring Operation: 43-18=25, Resulting Numbers: [25]\n25,38 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 38:[43, 18], Operations: ['47-4=43', '12+6=18']\nExploring Operation: 43+18=61, Resulting Numbers: [61]\n61,38 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 38:[12, 6, 43], Operations: ['47-4=43']\nExploring Operation: 43-6=37, Resulting Numbers: [12, 37]\nGenerated Node #0,3,1: 38:[12, 37] Operation: 43-6=37\nMoving to Node #0,3,1\nCurrent State: 38:[12, 37], Operations: ['47-4=43', '43-6=37']\nExploring Operation: 12+37=49, Resulting Numbers: [49]\n49,38 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 38:[12, 37], Operations: ['47-4=43', '43-6=37']\nExploring Operation: 37-12=25, Resulting Numbers: [25]\n25,38 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 38:[12, 6, 43], Operations: ['47-4=43']\nExploring Operation: 12-6=6, Resulting Numbers: [43, 6]\nGenerated Node #0,3,2: 38:[43, 6] Operation: 12-6=6\nMoving to Node #0,3,2\nCurrent State: 38:[43, 6], Operations: ['47-4=43', '12-6=6']\nExploring Operation: 43-6=37, Resulting Numbers: [37]\n37,38 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 38:[43, 6], Operations: ['47-4=43', '12-6=6']\nExploring Operation: 43+6=49, Resulting Numbers: [49]\n49,38 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 38:[12, 6, 43], Operations: ['47-4=43']\nExploring Operation: 6+43=49, Resulting Numbers: [12, 49]\nGenerated Node #0,3,3: 38:[12, 49] Operation: 6+43=49\nMoving to Node #0,3,3\nCurrent State: 38:[12, 49], Operations: ['47-4=43', '6+43=49']\nExploring Operation: 49-12=37, Resulting Numbers: [37]\n37,38 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 38:[12, 49], Operations: ['47-4=43', '6+43=49']\nExploring Operation: 12+49=61, Resulting Numbers: [61]\n61,38 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 38:[12, 6, 43], Operations: ['47-4=43']\nExploring Operation: 12*6=72, Resulting Numbers: [43, 72]\nGenerated Node #0,3,4: 38:[43, 72] Operation: 12*6=72\nMoving to Node #0,3,4\nCurrent State: 38:[43, 72], Operations: ['47-4=43', '12*6=72']\nExploring Operation: 72-43=29, Resulting Numbers: [29]\n29,38 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 38:[12, 6, 43], Operations: ['47-4=43']\nExploring Operation: 43-12=31, Resulting Numbers: [6, 31]\nGenerated Node #0,3,5: 38:[6, 31] Operation: 43-12=31\nMoving to Node #0,3,5\nCurrent State: 38:[6, 31], Operations: ['47-4=43', '43-12=31']\nExploring Operation: 6+31=37, Resulting Numbers: [37]\n37,38 unequal: No Solution\nMoving to Node #0,3,5\nCurrent State: 38:[6, 31], Operations: ['47-4=43', '43-12=31']\nExploring Operation: 31-6=25, Resulting Numbers: [25]\n25,38 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 38:[12, 6, 43], Operations: ['47-4=43']\nExploring Operation: 12/6=2, Resulting Numbers: [43, 2]\nGenerated Node #0,3,6: 38:[43, 2] Operation: 12/6=2\nMoving to Node #0,3,6\nCurrent State: 38:[43, 2], Operations: ['47-4=43', '12/6=2']\nExploring Operation: 43-2=41, Resulting Numbers: [41]\n41,38 unequal: No Solution\nMoving to Node #0,3,6\nCurrent State: 38:[43, 2], Operations: ['47-4=43', '12/6=2']\nExploring Operation: 43+2=45, Resulting Numbers: [45]\n45,38 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 38:[12, 6, 43], Operations: ['47-4=43']\nExploring Operation: 12+43=55, Resulting Numbers: [6, 55]\nGenerated Node #0,3,7: 38:[6, 55] Operation: 12+43=55\nMoving to Node #0,3,7\nCurrent State: 38:[6, 55], Operations: ['47-4=43', '12+43=55']\nExploring Operation: 55-6=49, Resulting Numbers: [49]\n49,38 unequal: No Solution\nMoving to Node #0,3,7\nCurrent State: 38:[6, 55], Operations: ['47-4=43', '12+43=55']\nExploring Operation: 6+55=61, Resulting Numbers: [61]\n61,38 unequal: No Solution\nMoving to Node #0\nCurrent State: 38:[4, 12, 47, 6], Operations: []\nExploring Operation: 4+6=10, Resulting Numbers: [12, 47, 10]\nGenerated Node #0,4: 38:[12, 47, 10] Operation: 4+6=10\nMoving to Node #0,4\nCurrent State: 38:[12, 47, 10], Operations: ['4+6=10']\nExploring Operation: 12+10=22, Resulting Numbers: [47, 22]\nGenerated Node #0,4,0: 38:[47, 22] Operation: 12+10=22\nMoving to Node #0,4,0\nCurrent State: 38:[47, 22], Operations: ['4+6=10', '12+10=22']\nExploring Operation: 47-22=25, Resulting Numbers: [25]\n25,38 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 38:[47, 22], Operations: ['4+6=10', '12+10=22']\nExploring Operation: 47+22=69, Resulting Numbers: [69]\n69,38 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 38:[12, 47, 10], Operations: ['4+6=10']\nExploring Operation: 47-10=37, Resulting Numbers: [12, 37]\nGenerated Node #0,4,1: 38:[12, 37] Operation: 47-10=37\nMoving to Node #0,4,1\nCurrent State: 38:[12, 37], Operations: ['4+6=10', '47-10=37']\nExploring Operation: 12+37=49, Resulting Numbers: [49]\n49,38 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 38:[12, 37], Operations: ['4+6=10', '47-10=37']\nExploring Operation: 37-12=25, Resulting Numbers: [25]\n25,38 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 38:[12, 47, 10], Operations: ['4+6=10']\nExploring Operation: 47-12=35, Resulting Numbers: [10, 35]\nGenerated Node #0,4,2: 38:[10, 35] Operation: 47-12=35\nMoving to Node #0,4,2\nCurrent State: 38:[10, 35], Operations: ['4+6=10', '47-12=35']\nExploring Operation: 10+35=45, Resulting Numbers: [45]\n45,38 unequal: No Solution\nMoving to Node #0,4,2\nCurrent State: 38:[10, 35], Operations: ['4+6=10', '47-12=35']\nExploring Operation: 35-10=25, Resulting Numbers: [25]\n25,38 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 38:[12, 47, 10], Operations: ['4+6=10']\nExploring Operation: 12-10=2, Resulting Numbers: [47, 2]\nGenerated Node #0,4,3: 38:[47, 2] Operation: 12-10=2\nMoving to Node #0,4,3\nCurrent State: 38:[47, 2], Operations: ['4+6=10', '12-10=2']\nExploring Operation: 47-2=45, Resulting Numbers: [45]\n45,38 unequal: No Solution\nMoving to Node #0,4,3\nCurrent State: 38:[47, 2], Operations: ['4+6=10', '12-10=2']\nExploring Operation: 47+2=49, Resulting Numbers: [49]\n49,38 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 38:[12, 47, 10], Operations: ['4+6=10']\nExploring Operation: 47+10=57, Resulting Numbers: [12, 57]\nGenerated Node #0,4,4: 38:[12, 57] Operation: 47+10=57\nMoving to Node #0,4,4\nCurrent State: 38:[12, 57], Operations: ['4+6=10', '47+10=57']\nExploring Operation: 57-12=45, Resulting Numbers: [45]\n45,38 unequal: No Solution\nMoving to Node #0,4,4\nCurrent State: 38:[12, 57], Operations: ['4+6=10', '47+10=57']\nExploring Operation: 12+57=69, Resulting Numbers: [69]\n69,38 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 38:[12, 47, 10], Operations: ['4+6=10']\nExploring Operation: 12+47=59, Resulting Numbers: [10, 59]\nGenerated Node #0,4,5: 38:[10, 59] Operation: 12+47=59\nMoving to Node #0,4,5\nCurrent State: 38:[10, 59], Operations: ['4+6=10', '12+47=59']\nExploring Operation: 59-10=49, Resulting Numbers: [49]\n49,38 unequal: No Solution\nMoving to Node #0,4,5\nCurrent State: 38:[10, 59], Operations: ['4+6=10', '12+47=59']\nExploring Operation: 10+59=69, Resulting Numbers: [69]\n69,38 unequal: No Solution\nMoving to Node #0\nCurrent State: 38:[4, 12, 47, 6], Operations: []\nExploring Operation: 12+6=18, Resulting Numbers: [4, 47, 18]\nGenerated Node #0,5: 38:[4, 47, 18] Operation: 12+6=18\nMoving to Node #0,5\nCurrent State: 38:[4, 47, 18], Operations: ['12+6=18']\nExploring Operation: 47-4=43, Resulting Numbers: [18, 43]\nGenerated Node #0,5,0: 38:[18, 43] Operation: 47-4=43\nMoving to Node #0,5,0\nCurrent State: 38:[18, 43], Operations: ['12+6=18', '47-4=43']\nExploring Operation: 43-18=25, Resulting Numbers: [25]\n25,38 unequal: No Solution\nMoving to Node #0,5,0\nCurrent State: 38:[18, 43], Operations: ['12+6=18', '47-4=43']\nExploring Operation: 18+43=61, Resulting Numbers: [61]\n61,38 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 38:[4, 47, 18], Operations: ['12+6=18']\nExploring Operation: 4+18=22, Resulting Numbers: [47, 22]\nGenerated Node #0,5,1: 38:[47, 22] Operation: 4+18=22\nMoving to Node #0,5,1\nCurrent State: 38:[47, 22], Operations: ['12+6=18', '4+18=22']\nExploring Operation: 47-22=25, Resulting Numbers: [25]\n25,38 unequal: No Solution\nMoving to Node #0,5,1\nCurrent State: 38:[47, 22], Operations: ['12+6=18', '4+18=22']\nExploring Operation: 47+22=69, Resulting Numbers: [69]\n69,38 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 38:[4, 47, 18], Operations: ['12+6=18']\nExploring Operation: 4+47=51, Resulting Numbers: [18, 51]\nGenerated Node #0,5,2: 38:[18, 51] Operation: 4+47=51\nMoving to Node #0,5,2\nCurrent State: 38:[18, 51], Operations: ['12+6=18', '4+47=51']\nExploring Operation: 51-18=33, Resulting Numbers: [33]\n33,38 unequal: No Solution\nMoving to Node #0,5,2\nCurrent State: 38:[18, 51], Operations: ['12+6=18', '4+47=51']\nExploring Operation: 18+51=69, Resulting Numbers: [69]\n69,38 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 38:[4, 47, 18], Operations: ['12+6=18']\nExploring Operation: 18-4=14, Resulting Numbers: [47, 14]\nGenerated Node #0,5,3: 38:[47, 14] Operation: 18-4=14\nMoving to Node #0,5,3\nCurrent State: 38:[47, 14], Operations: ['12+6=18', '18-4=14']\nExploring Operation: 47-14=33, Resulting Numbers: [33]\n33,38 unequal: No Solution\nMoving to Node #0,5,3\nCurrent State: 38:[47, 14], Operations: ['12+6=18', '18-4=14']\nExploring Operation: 47+14=61, Resulting Numbers: [61]\n61,38 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 38:[4, 47, 18], Operations: ['12+6=18']\nExploring Operation: 4*18=72, Resulting Numbers: [47, 72]\nGenerated Node #0,5,4: 38:[47, 72] Operation: 4*18=72\nMoving to Node #0,5,4\nCurrent State: 38:[47, 72], Operations: ['12+6=18', '4*18=72']\nExploring Operation: 72-47=25, Resulting Numbers: [25]\n25,38 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 38:[4, 47, 18], Operations: ['12+6=18']\nExploring Operation: 47-18=29, Resulting Numbers: [4, 29]\nGenerated Node #0,5,5: 38:[4, 29] Operation: 47-18=29\nMoving to Node #0,5,5\nCurrent State: 38:[4, 29], Operations: ['12+6=18', '47-18=29']\nExploring Operation: 4+29=33, Resulting Numbers: [33]\n33,38 unequal: No Solution\nMoving to Node #0,5,5\nCurrent State: 38:[4, 29], Operations: ['12+6=18', '47-18=29']\nExploring Operation: 29-4=25, Resulting Numbers: [25]\n25,38 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 38:[4, 47, 18], Operations: ['12+6=18']\nExploring Operation: 47+18=65, Resulting Numbers: [4, 65]\nGenerated Node #0,5,6: 38:[4, 65] Operation: 47+18=65\nMoving to Node #0,5,6\nCurrent State: 38:[4, 65], Operations: ['12+6=18', '47+18=65']\nExploring Operation: 65-4=61, Resulting Numbers: [61]\n61,38 unequal: No Solution\nMoving to Node #0,5,6\nCurrent State: 38:[4, 65], Operations: ['12+6=18', '47+18=65']\nExploring Operation: 4+65=69, Resulting Numbers: [69]\n69,38 unequal: No Solution\nMoving to Node #0\nCurrent State: 38:[4, 12, 47, 6], Operations: []\nExploring Operation: 47-6=41, Resulting Numbers: [4, 12, 41]\nGenerated Node #0,6: 38:[4, 12, 41] Operation: 47-6=41\nMoving to Node #0,6\nCurrent State: 38:[4, 12, 41], Operations: ['47-6=41']\nExploring Operation: 4*12=48, Resulting Numbers: [41, 48]\nGenerated Node #0,6,0: 38:[41, 48] Operation: 4*12=48\nMoving to Node #0,6,0\nCurrent State: 38:[41, 48], Operations: ['47-6=41', '4*12=48']\nExploring Operation: 48-41=7, Resulting Numbers: [7]\n7,38 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 38:[4, 12, 41], Operations: ['47-6=41']\nExploring Operation: 4+12=16, Resulting Numbers: [41, 16]\nGenerated Node #0,6,1: 38:[41, 16] Operation: 4+12=16\nMoving to Node #0,6,1\nCurrent State: 38:[41, 16], Operations: ['47-6=41', '4+12=16']\nExploring Operation: 41-16=25, Resulting Numbers: [25]\n25,38 unequal: No Solution\nMoving to Node #0,6,1\nCurrent State: 38:[41, 16], Operations: ['47-6=41', '4+12=16']\nExploring Operation: 41+16=57, Resulting Numbers: [57]\n57,38 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 38:[4, 12, 41], Operations: ['47-6=41']\nExploring Operation: 41-4=37, Resulting Numbers: [12, 37]\nGenerated Node #0,6,2: 38:[12, 37] Operation: 41-4=37\nMoving to Node #0,6,2\nCurrent State: 38:[12, 37], Operations: ['47-6=41', '41-4=37']\nExploring Operation: 12+37=49, Resulting Numbers: [49]\n49,38 unequal: No Solution\nMoving to Node #0,6,2\nCurrent State: 38:[12, 37], Operations: ['47-6=41', '41-4=37']\nExploring Operation: 37-12=25, Resulting Numbers: [25]\n25,38 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 38:[4, 12, 41], Operations: ['47-6=41']\nExploring Operation: 12-4=8, Resulting Numbers: [41, 8]\nGenerated Node #0,6,3: 38:[41, 8] Operation: 12-4=8\nMoving to Node #0,6,3\nCurrent State: 38:[41, 8], Operations: ['47-6=41', '12-4=8']\nExploring Operation: 41-8=33, Resulting Numbers: [33]\n33,38 unequal: No Solution\nMoving to Node #0,6,3\nCurrent State: 38:[41, 8], Operations: ['47-6=41', '12-4=8']\nExploring Operation: 41+8=49, Resulting Numbers: [49]\n49,38 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 38:[4, 12, 41], Operations: ['47-6=41']\nExploring Operation: 4+41=45, Resulting Numbers: [12, 45]\nGenerated Node #0,6,4: 38:[12, 45] Operation: 4+41=45\nMoving to Node #0,6,4\nCurrent State: 38:[12, 45], Operations: ['47-6=41', '4+41=45']\nExploring Operation: 45-12=33, Resulting Numbers: [33]\n33,38 unequal: No Solution\nMoving to Node #0,6,4\nCurrent State: 38:[12, 45], Operations: ['47-6=41', '4+41=45']\nExploring Operation: 12+45=57, Resulting Numbers: [57]\n57,38 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 38:[4, 12, 41], Operations: ['47-6=41']\nExploring Operation: 12/4=3, Resulting Numbers: [41, 3]\nGenerated Node #0,6,5: 38:[41, 3] Operation: 12/4=3\nMoving to Node #0,6,5\nCurrent State: 38:[41, 3], Operations: ['47-6=41', '12/4=3']\nExploring Operation: 41-3=38, Resulting Numbers: [38]\n38,38 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [80, 27, 8, 61] using the four basic arithmetic operations (+, -, *, /) to reach 91.",
"role": "user"
},
{
"content": "Current State: 91:[80, 27, 8, 61], Operations: []\nExploring Operation: 80+8=88, Resulting Numbers: [27, 61, 88]\nGenerated Node #0,0: 91:[27, 61, 88] Operation: 80+8=88\nMoving to Node #0,0\nCurrent State: 91:[27, 61, 88], Operations: ['80+8=88']\nExploring Operation: 27+61=88, Resulting Numbers: [88, 88]\nGenerated Node #0,0,0: 91:[88, 88] Operation: 27+61=88\nMoving to Node #0,0,0\nCurrent State: 91:[88, 88], Operations: ['80+8=88', '27+61=88']\nExploring Operation: 88+88=176, Resulting Numbers: [176]\n176,91 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 91:[88, 88], Operations: ['80+8=88', '27+61=88']\nExploring Operation: 88/88=1, Resulting Numbers: [1]\n1,91 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 91:[88, 88], Operations: ['80+8=88', '27+61=88']\nExploring Operation: 88-88=0, Resulting Numbers: [0]\n0,91 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 91:[27, 61, 88], Operations: ['80+8=88']\nExploring Operation: 27+88=115, Resulting Numbers: [61, 115]\nGenerated Node #0,0,1: 91:[61, 115] Operation: 27+88=115\nMoving to Node #0,0,1\nCurrent State: 91:[61, 115], Operations: ['80+8=88', '27+88=115']\nExploring Operation: 115-61=54, Resulting Numbers: [54]\n54,91 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 91:[61, 115], Operations: ['80+8=88', '27+88=115']\nExploring Operation: 61+115=176, Resulting Numbers: [176]\n176,91 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 91:[27, 61, 88], Operations: ['80+8=88']\nExploring Operation: 61-27=34, Resulting Numbers: [88, 34]\nGenerated Node #0,0,2: 91:[88, 34] Operation: 61-27=34\nMoving to Node #0,0,2\nCurrent State: 91:[88, 34], Operations: ['80+8=88', '61-27=34']\nExploring Operation: 88+34=122, Resulting Numbers: [122]\n122,91 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 91:[88, 34], Operations: ['80+8=88', '61-27=34']\nExploring Operation: 88-34=54, Resulting Numbers: [54]\n54,91 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 91:[27, 61, 88], Operations: ['80+8=88']\nExploring Operation: 88-27=61, Resulting Numbers: [61, 61]\nGenerated Node #0,0,3: 91:[61, 61] Operation: 88-27=61\nMoving to Node #0,0,3\nCurrent State: 91:[61, 61], Operations: ['80+8=88', '88-27=61']\nExploring Operation: 61+61=122, Resulting Numbers: [122]\n122,91 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 91:[61, 61], Operations: ['80+8=88', '88-27=61']\nExploring Operation: 61/61=1, Resulting Numbers: [1]\n1,91 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 91:[61, 61], Operations: ['80+8=88', '88-27=61']\nExploring Operation: 61-61=0, Resulting Numbers: [0]\n0,91 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 91:[27, 61, 88], Operations: ['80+8=88']\nExploring Operation: 61+88=149, Resulting Numbers: [27, 149]\nGenerated Node #0,0,4: 91:[27, 149] Operation: 61+88=149\nMoving to Node #0,0,4\nCurrent State: 91:[27, 149], Operations: ['80+8=88', '61+88=149']\nExploring Operation: 149-27=122, Resulting Numbers: [122]\n122,91 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 91:[27, 149], Operations: ['80+8=88', '61+88=149']\nExploring Operation: 27+149=176, Resulting Numbers: [176]\n176,91 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 91:[27, 61, 88], Operations: ['80+8=88']\nExploring Operation: 88-61=27, Resulting Numbers: [27, 27]\nGenerated Node #0,0,5: 91:[27, 27] Operation: 88-61=27\nMoving to Node #0,0,5\nCurrent State: 91:[27, 27], Operations: ['80+8=88', '88-61=27']\nExploring Operation: 27+27=54, Resulting Numbers: [54]\n54,91 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 91:[27, 27], Operations: ['80+8=88', '88-61=27']\nExploring Operation: 27/27=1, Resulting Numbers: [1]\n1,91 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 91:[27, 27], Operations: ['80+8=88', '88-61=27']\nExploring Operation: 27-27=0, Resulting Numbers: [0]\n0,91 unequal: No Solution\nMoving to Node #0\nCurrent State: 91:[80, 27, 8, 61], Operations: []\nExploring Operation: 27+8=35, Resulting Numbers: [80, 61, 35]\nGenerated Node #0,1: 91:[80, 61, 35] Operation: 27+8=35\nMoving to Node #0,1\nCurrent State: 91:[80, 61, 35], Operations: ['27+8=35']\nExploring Operation: 61+35=96, Resulting Numbers: [80, 96]\nGenerated Node #0,1,0: 91:[80, 96] Operation: 61+35=96\nMoving to Node #0,1,0\nCurrent State: 91:[80, 96], Operations: ['27+8=35', '61+35=96']\nExploring Operation: 96-80=16, Resulting Numbers: [16]\n16,91 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 91:[80, 96], Operations: ['27+8=35', '61+35=96']\nExploring Operation: 80+96=176, Resulting Numbers: [176]\n176,91 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 91:[80, 61, 35], Operations: ['27+8=35']\nExploring Operation: 80+35=115, Resulting Numbers: [61, 115]\nGenerated Node #0,1,1: 91:[61, 115] Operation: 80+35=115\nMoving to Node #0,1,1\nCurrent State: 91:[61, 115], Operations: ['27+8=35', '80+35=115']\nExploring Operation: 115-61=54, Resulting Numbers: [54]\n54,91 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 91:[61, 115], Operations: ['27+8=35', '80+35=115']\nExploring Operation: 61+115=176, Resulting Numbers: [176]\n176,91 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 91:[80, 61, 35], Operations: ['27+8=35']\nExploring Operation: 80-35=45, Resulting Numbers: [61, 45]\nGenerated Node #0,1,2: 91:[61, 45] Operation: 80-35=45\nMoving to Node #0,1,2\nCurrent State: 91:[61, 45], Operations: ['27+8=35', '80-35=45']\nExploring Operation: 61+45=106, Resulting Numbers: [106]\n106,91 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 91:[61, 45], Operations: ['27+8=35', '80-35=45']\nExploring Operation: 61-45=16, Resulting Numbers: [16]\n16,91 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 91:[80, 61, 35], Operations: ['27+8=35']\nExploring Operation: 61-35=26, Resulting Numbers: [80, 26]\nGenerated Node #0,1,3: 91:[80, 26] Operation: 61-35=26\nMoving to Node #0,1,3\nCurrent State: 91:[80, 26], Operations: ['27+8=35', '61-35=26']\nExploring Operation: 80+26=106, Resulting Numbers: [106]\n106,91 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 91:[80, 26], Operations: ['27+8=35', '61-35=26']\nExploring Operation: 80-26=54, Resulting Numbers: [54]\n54,91 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 91:[80, 61, 35], Operations: ['27+8=35']\nExploring Operation: 80+61=141, Resulting Numbers: [35, 141]\nGenerated Node #0,1,4: 91:[35, 141] Operation: 80+61=141\nMoving to Node #0,1,4\nCurrent State: 91:[35, 141], Operations: ['27+8=35', '80+61=141']\nExploring Operation: 141-35=106, Resulting Numbers: [106]\n106,91 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 91:[35, 141], Operations: ['27+8=35', '80+61=141']\nExploring Operation: 35+141=176, Resulting Numbers: [176]\n176,91 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 91:[80, 61, 35], Operations: ['27+8=35']\nExploring Operation: 80-61=19, Resulting Numbers: [35, 19]\nGenerated Node #0,1,5: 91:[35, 19] Operation: 80-61=19\nMoving to Node #0,1,5\nCurrent State: 91:[35, 19], Operations: ['27+8=35', '80-61=19']\nExploring Operation: 35+19=54, Resulting Numbers: [54]\n54,91 unequal: No Solution\nMoving to Node #0,1,5\nCurrent State: 91:[35, 19], Operations: ['27+8=35', '80-61=19']\nExploring Operation: 35-19=16, Resulting Numbers: [16]\n16,91 unequal: No Solution\nMoving to Node #0\nCurrent State: 91:[80, 27, 8, 61], Operations: []\nExploring Operation: 27+61=88, Resulting Numbers: [80, 8, 88]\nGenerated Node #0,2: 91:[80, 8, 88] Operation: 27+61=88\nMoving to Node #0,2\nCurrent State: 91:[80, 8, 88], Operations: ['27+61=88']\nExploring Operation: 80+8=88, Resulting Numbers: [88, 88]\nGenerated Node #0,2,0: 91:[88, 88] Operation: 80+8=88\nMoving to Node #0,2,0\nCurrent State: 91:[88, 88], Operations: ['27+61=88', '80+8=88']\nExploring Operation: 88+88=176, Resulting Numbers: [176]\n176,91 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 91:[88, 88], Operations: ['27+61=88', '80+8=88']\nExploring Operation: 88/88=1, Resulting Numbers: [1]\n1,91 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 91:[88, 88], Operations: ['27+61=88', '80+8=88']\nExploring Operation: 88-88=0, Resulting Numbers: [0]\n0,91 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 91:[80, 8, 88], Operations: ['27+61=88']\nExploring Operation: 8+88=96, Resulting Numbers: [80, 96]\nGenerated Node #0,2,1: 91:[80, 96] Operation: 8+88=96\nMoving to Node #0,2,1\nCurrent State: 91:[80, 96], Operations: ['27+61=88', '8+88=96']\nExploring Operation: 96-80=16, Resulting Numbers: [16]\n16,91 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 91:[80, 96], Operations: ['27+61=88', '8+88=96']\nExploring Operation: 80+96=176, Resulting Numbers: [176]\n176,91 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 91:[80, 8, 88], Operations: ['27+61=88']\nExploring Operation: 80-8=72, Resulting Numbers: [88, 72]\nGenerated Node #0,2,2: 91:[88, 72] Operation: 80-8=72\nMoving to Node #0,2,2\nCurrent State: 91:[88, 72], Operations: ['27+61=88', '80-8=72']\nExploring Operation: 88+72=160, Resulting Numbers: [160]\n160,91 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 91:[88, 72], Operations: ['27+61=88', '80-8=72']\nExploring Operation: 88-72=16, Resulting Numbers: [16]\n16,91 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 91:[80, 8, 88], Operations: ['27+61=88']\nExploring Operation: 88-8=80, Resulting Numbers: [80, 80]\nGenerated Node #0,2,3: 91:[80, 80] Operation: 88-8=80\nMoving to Node #0,2,3\nCurrent State: 91:[80, 80], Operations: ['27+61=88', '88-8=80']\nExploring Operation: 80+80=160, Resulting Numbers: [160]\n160,91 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 91:[80, 80], Operations: ['27+61=88', '88-8=80']\nExploring Operation: 80/80=1, Resulting Numbers: [1]\n1,91 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 91:[80, 80], Operations: ['27+61=88', '88-8=80']\nExploring Operation: 80-80=0, Resulting Numbers: [0]\n0,91 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 91:[80, 8, 88], Operations: ['27+61=88']\nExploring Operation: 80/8=10, Resulting Numbers: [88, 10]\nGenerated Node #0,2,4: 91:[88, 10] Operation: 80/8=10\nMoving to Node #0,2,4\nCurrent State: 91:[88, 10], Operations: ['27+61=88', '80/8=10']\nExploring Operation: 88+10=98, Resulting Numbers: [98]\n98,91 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 91:[88, 10], Operations: ['27+61=88', '80/8=10']\nExploring Operation: 88-10=78, Resulting Numbers: [78]\n78,91 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 91:[80, 8, 88], Operations: ['27+61=88']\nExploring Operation: 88/8=11, Resulting Numbers: [80, 11]\nGenerated Node #0,2,5: 91:[80, 11] Operation: 88/8=11\nMoving to Node #0,2,5\nCurrent State: 91:[80, 11], Operations: ['27+61=88', '88/8=11']\nExploring Operation: 80+11=91, Resulting Numbers: [91]\n91,91 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [61, 25, 80, 75] using the four basic arithmetic operations (+, -, *, /) to reach 31.",
"role": "user"
},
{
"content": "Current State: 31:[61, 25, 80, 75], Operations: []\nExploring Operation: 80-61=19, Resulting Numbers: [25, 75, 19]\nGenerated Node #0,0: 31:[25, 75, 19] Operation: 80-61=19\nExploring Operation: 80-75=5, Resulting Numbers: [61, 25, 5]\nGenerated Node #0,1: 31:[61, 25, 5] Operation: 80-75=5\nMoving to Node #0,0\nCurrent State: 31:[25, 75, 19], Operations: ['80-61=19']\nExploring Operation: 75-25=50, Resulting Numbers: [19, 50]\nGenerated Node #0,0,0: 31:[19, 50] Operation: 75-25=50\nExploring Operation: 75-19=56, Resulting Numbers: [25, 56]\nGenerated Node #0,0,1: 31:[25, 56] Operation: 75-19=56\nMoving to Node #0,1\nCurrent State: 31:[61, 25, 5], Operations: ['80-75=5']\nExploring Operation: 61-25=36, Resulting Numbers: [5, 36]\nGenerated Node #0,1,0: 31:[5, 36] Operation: 61-25=36\nExploring Operation: 61-5=56, Resulting Numbers: [25, 56]\nGenerated Node #0,1,1: 31:[25, 56] Operation: 61-5=56\nMoving to Node #0,0,0\nCurrent State: 31:[19, 50], Operations: ['80-61=19', '75-25=50']\nExploring Operation: 50-19=31, Resulting Numbers: [31]\n31,31 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [27, 24, 41, 15] using the four basic arithmetic operations (+, -, *, /) to reach 44.",
"role": "user"
},
{
"content": "Current State: 44:[27, 24, 41, 15], Operations: []\nExploring Operation: 27+15=42, Resulting Numbers: [24, 41, 42]\nGenerated Node #0,0: 44:[24, 41, 42] Operation: 27+15=42\nMoving to Node #0,0\nCurrent State: 44:[24, 41, 42], Operations: ['27+15=42']\nExploring Operation: 24+41=65, Resulting Numbers: [42, 65]\nGenerated Node #0,0,0: 44:[42, 65] Operation: 24+41=65\nMoving to Node #0,0,0\nCurrent State: 44:[42, 65], Operations: ['27+15=42', '24+41=65']\nExploring Operation: 65-42=23, Resulting Numbers: [23]\n23,44 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 44:[24, 41, 42], Operations: ['27+15=42']\nExploring Operation: 24+42=66, Resulting Numbers: [41, 66]\nGenerated Node #0,0,1: 44:[41, 66] Operation: 24+42=66\nMoving to Node #0,0,1\nCurrent State: 44:[41, 66], Operations: ['27+15=42', '24+42=66']\nExploring Operation: 66-41=25, Resulting Numbers: [25]\n25,44 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 44:[24, 41, 42], Operations: ['27+15=42']\nExploring Operation: 41-24=17, Resulting Numbers: [42, 17]\nGenerated Node #0,0,2: 44:[42, 17] Operation: 41-24=17\nMoving to Node #0,0,2\nCurrent State: 44:[42, 17], Operations: ['27+15=42', '41-24=17']\nExploring Operation: 42+17=59, Resulting Numbers: [59]\n59,44 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 44:[42, 17], Operations: ['27+15=42', '41-24=17']\nExploring Operation: 42-17=25, Resulting Numbers: [25]\n25,44 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 44:[24, 41, 42], Operations: ['27+15=42']\nExploring Operation: 42-24=18, Resulting Numbers: [41, 18]\nGenerated Node #0,0,3: 44:[41, 18] Operation: 42-24=18\nMoving to Node #0,0,3\nCurrent State: 44:[41, 18], Operations: ['27+15=42', '42-24=18']\nExploring Operation: 41+18=59, Resulting Numbers: [59]\n59,44 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 44:[41, 18], Operations: ['27+15=42', '42-24=18']\nExploring Operation: 41-18=23, Resulting Numbers: [23]\n23,44 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 44:[24, 41, 42], Operations: ['27+15=42']\nExploring Operation: 41+42=83, Resulting Numbers: [24, 83]\nGenerated Node #0,0,4: 44:[24, 83] Operation: 41+42=83\nMoving to Node #0,0,4\nCurrent State: 44:[24, 83], Operations: ['27+15=42', '41+42=83']\nExploring Operation: 83-24=59, Resulting Numbers: [59]\n59,44 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 44:[24, 41, 42], Operations: ['27+15=42']\nExploring Operation: 42-41=1, Resulting Numbers: [24, 1]\nGenerated Node #0,0,5: 44:[24, 1] Operation: 42-41=1\nMoving to Node #0,0,5\nCurrent State: 44:[24, 1], Operations: ['27+15=42', '42-41=1']\nExploring Operation: 24+1=25, Resulting Numbers: [25]\n25,44 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 44:[24, 1], Operations: ['27+15=42', '42-41=1']\nExploring Operation: 24*1=24, Resulting Numbers: [24]\n24,44 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 44:[24, 1], Operations: ['27+15=42', '42-41=1']\nExploring Operation: 24/1=24, Resulting Numbers: [24]\n24,44 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 44:[24, 1], Operations: ['27+15=42', '42-41=1']\nExploring Operation: 24-1=23, Resulting Numbers: [23]\n23,44 unequal: No Solution\nMoving to Node #0\nCurrent State: 44:[27, 24, 41, 15], Operations: []\nExploring Operation: 24+15=39, Resulting Numbers: [27, 41, 39]\nGenerated Node #0,1: 44:[27, 41, 39] Operation: 24+15=39\nMoving to Node #0,1\nCurrent State: 44:[27, 41, 39], Operations: ['24+15=39']\nExploring Operation: 27+39=66, Resulting Numbers: [41, 66]\nGenerated Node #0,1,0: 44:[41, 66] Operation: 27+39=66\nMoving to Node #0,1,0\nCurrent State: 44:[41, 66], Operations: ['24+15=39', '27+39=66']\nExploring Operation: 66-41=25, Resulting Numbers: [25]\n25,44 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 44:[27, 41, 39], Operations: ['24+15=39']\nExploring Operation: 27+41=68, Resulting Numbers: [39, 68]\nGenerated Node #0,1,1: 44:[39, 68] Operation: 27+41=68\nMoving to Node #0,1,1\nCurrent State: 44:[39, 68], Operations: ['24+15=39', '27+41=68']\nExploring Operation: 68-39=29, Resulting Numbers: [29]\n29,44 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 44:[27, 41, 39], Operations: ['24+15=39']\nExploring Operation: 41-27=14, Resulting Numbers: [39, 14]\nGenerated Node #0,1,2: 44:[39, 14] Operation: 41-27=14\nMoving to Node #0,1,2\nCurrent State: 44:[39, 14], Operations: ['24+15=39', '41-27=14']\nExploring Operation: 39+14=53, Resulting Numbers: [53]\n53,44 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 44:[39, 14], Operations: ['24+15=39', '41-27=14']\nExploring Operation: 39-14=25, Resulting Numbers: [25]\n25,44 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 44:[27, 41, 39], Operations: ['24+15=39']\nExploring Operation: 39-27=12, Resulting Numbers: [41, 12]\nGenerated Node #0,1,3: 44:[41, 12] Operation: 39-27=12\nMoving to Node #0,1,3\nCurrent State: 44:[41, 12], Operations: ['24+15=39', '39-27=12']\nExploring Operation: 41+12=53, Resulting Numbers: [53]\n53,44 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 44:[41, 12], Operations: ['24+15=39', '39-27=12']\nExploring Operation: 41-12=29, Resulting Numbers: [29]\n29,44 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 44:[27, 41, 39], Operations: ['24+15=39']\nExploring Operation: 41+39=80, Resulting Numbers: [27, 80]\nGenerated Node #0,1,4: 44:[27, 80] Operation: 41+39=80\nMoving to Node #0,1,4\nCurrent State: 44:[27, 80], Operations: ['24+15=39', '41+39=80']\nExploring Operation: 80-27=53, Resulting Numbers: [53]\n53,44 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 44:[27, 41, 39], Operations: ['24+15=39']\nExploring Operation: 41-39=2, Resulting Numbers: [27, 2]\nGenerated Node #0,1,5: 44:[27, 2] Operation: 41-39=2\nMoving to Node #0,1,5\nCurrent State: 44:[27, 2], Operations: ['24+15=39', '41-39=2']\nExploring Operation: 27*2=54, Resulting Numbers: [54]\n54,44 unequal: No Solution\nMoving to Node #0,1,5\nCurrent State: 44:[27, 2], Operations: ['24+15=39', '41-39=2']\nExploring Operation: 27+2=29, Resulting Numbers: [29]\n29,44 unequal: No Solution\nMoving to Node #0,1,5\nCurrent State: 44:[27, 2], Operations: ['24+15=39', '41-39=2']\nExploring Operation: 27-2=25, Resulting Numbers: [25]\n25,44 unequal: No Solution\nMoving to Node #0\nCurrent State: 44:[27, 24, 41, 15], Operations: []\nExploring Operation: 27+24=51, Resulting Numbers: [41, 15, 51]\nGenerated Node #0,2: 44:[41, 15, 51] Operation: 27+24=51\nMoving to Node #0,2\nCurrent State: 44:[41, 15, 51], Operations: ['27+24=51']\nExploring Operation: 51-15=36, Resulting Numbers: [41, 36]\nGenerated Node #0,2,0: 44:[41, 36] Operation: 51-15=36\nMoving to Node #0,2,0\nCurrent State: 44:[41, 36], Operations: ['27+24=51', '51-15=36']\nExploring Operation: 41+36=77, Resulting Numbers: [77]\n77,44 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 44:[41, 36], Operations: ['27+24=51', '51-15=36']\nExploring Operation: 41-36=5, Resulting Numbers: [5]\n5,44 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 44:[41, 15, 51], Operations: ['27+24=51']\nExploring Operation: 41+15=56, Resulting Numbers: [51, 56]\nGenerated Node #0,2,1: 44:[51, 56] Operation: 41+15=56\nMoving to Node #0,2,1\nCurrent State: 44:[51, 56], Operations: ['27+24=51', '41+15=56']\nExploring Operation: 56-51=5, Resulting Numbers: [5]\n5,44 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 44:[41, 15, 51], Operations: ['27+24=51']\nExploring Operation: 41-15=26, Resulting Numbers: [51, 26]\nGenerated Node #0,2,2: 44:[51, 26] Operation: 41-15=26\nMoving to Node #0,2,2\nCurrent State: 44:[51, 26], Operations: ['27+24=51', '41-15=26']\nExploring Operation: 51-26=25, Resulting Numbers: [25]\n25,44 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 44:[51, 26], Operations: ['27+24=51', '41-15=26']\nExploring Operation: 51+26=77, Resulting Numbers: [77]\n77,44 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 44:[41, 15, 51], Operations: ['27+24=51']\nExploring Operation: 15+51=66, Resulting Numbers: [41, 66]\nGenerated Node #0,2,3: 44:[41, 66] Operation: 15+51=66\nMoving to Node #0,2,3\nCurrent State: 44:[41, 66], Operations: ['27+24=51', '15+51=66']\nExploring Operation: 66-41=25, Resulting Numbers: [25]\n25,44 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 44:[41, 15, 51], Operations: ['27+24=51']\nExploring Operation: 51-41=10, Resulting Numbers: [15, 10]\nGenerated Node #0,2,4: 44:[15, 10] Operation: 51-41=10\nMoving to Node #0,2,4\nCurrent State: 44:[15, 10], Operations: ['27+24=51', '51-41=10']\nExploring Operation: 15+10=25, Resulting Numbers: [25]\n25,44 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 44:[15, 10], Operations: ['27+24=51', '51-41=10']\nExploring Operation: 15-10=5, Resulting Numbers: [5]\n5,44 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 44:[41, 15, 51], Operations: ['27+24=51']\nExploring Operation: 41+51=92, Resulting Numbers: [15, 92]\nGenerated Node #0,2,5: 44:[15, 92] Operation: 41+51=92\nMoving to Node #0,2,5\nCurrent State: 44:[15, 92], Operations: ['27+24=51', '41+51=92']\nExploring Operation: 92-15=77, Resulting Numbers: [77]\n77,44 unequal: No Solution\nMoving to Node #0\nCurrent State: 44:[27, 24, 41, 15], Operations: []\nExploring Operation: 41+15=56, Resulting Numbers: [27, 24, 56]\nGenerated Node #0,3: 44:[27, 24, 56] Operation: 41+15=56\nMoving to Node #0,3\nCurrent State: 44:[27, 24, 56], Operations: ['41+15=56']\nExploring Operation: 27+24=51, Resulting Numbers: [56, 51]\nGenerated Node #0,3,0: 44:[56, 51] Operation: 27+24=51\nMoving to Node #0,3,0\nCurrent State: 44:[56, 51], Operations: ['41+15=56', '27+24=51']\nExploring Operation: 56-51=5, Resulting Numbers: [5]\n5,44 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 44:[27, 24, 56], Operations: ['41+15=56']\nExploring Operation: 56-24=32, Resulting Numbers: [27, 32]\nGenerated Node #0,3,1: 44:[27, 32] Operation: 56-24=32\nMoving to Node #0,3,1\nCurrent State: 44:[27, 32], Operations: ['41+15=56', '56-24=32']\nExploring Operation: 27+32=59, Resulting Numbers: [59]\n59,44 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 44:[27, 32], Operations: ['41+15=56', '56-24=32']\nExploring Operation: 32-27=5, Resulting Numbers: [5]\n5,44 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 44:[27, 24, 56], Operations: ['41+15=56']\nExploring Operation: 56-27=29, Resulting Numbers: [24, 29]\nGenerated Node #0,3,2: 44:[24, 29] Operation: 56-27=29\nMoving to Node #0,3,2\nCurrent State: 44:[24, 29], Operations: ['41+15=56', '56-27=29']\nExploring Operation: 24+29=53, Resulting Numbers: [53]\n53,44 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 44:[24, 29], Operations: ['41+15=56', '56-27=29']\nExploring Operation: 29-24=5, Resulting Numbers: [5]\n5,44 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 44:[27, 24, 56], Operations: ['41+15=56']\nExploring Operation: 27-24=3, Resulting Numbers: [56, 3]\nGenerated Node #0,3,3: 44:[56, 3] Operation: 27-24=3\nMoving to Node #0,3,3\nCurrent State: 44:[56, 3], Operations: ['41+15=56', '27-24=3']\nExploring Operation: 56-3=53, Resulting Numbers: [53]\n53,44 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 44:[56, 3], Operations: ['41+15=56', '27-24=3']\nExploring Operation: 56+3=59, Resulting Numbers: [59]\n59,44 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 44:[27, 24, 56], Operations: ['41+15=56']\nExploring Operation: 24+56=80, Resulting Numbers: [27, 80]\nGenerated Node #0,3,4: 44:[27, 80] Operation: 24+56=80\nMoving to Node #0,3,4\nCurrent State: 44:[27, 80], Operations: ['41+15=56', '24+56=80']\nExploring Operation: 80-27=53, Resulting Numbers: [53]\n53,44 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 44:[27, 24, 56], Operations: ['41+15=56']\nExploring Operation: 27+56=83, Resulting Numbers: [24, 83]\nGenerated Node #0,3,5: 44:[24, 83] Operation: 27+56=83\nMoving to Node #0,3,5\nCurrent State: 44:[24, 83], Operations: ['41+15=56', '27+56=83']\nExploring Operation: 83-24=59, Resulting Numbers: [59]\n59,44 unequal: No Solution\nMoving to Node #0\nCurrent State: 44:[27, 24, 41, 15], Operations: []\nExploring Operation: 27-15=12, Resulting Numbers: [24, 41, 12]\nGenerated Node #0,4: 44:[24, 41, 12] Operation: 27-15=12\nMoving to Node #0,4\nCurrent State: 44:[24, 41, 12], Operations: ['27-15=12']\nExploring Operation: 24+12=36, Resulting Numbers: [41, 36]\nGenerated Node #0,4,0: 44:[41, 36] Operation: 24+12=36\nMoving to Node #0,4,0\nCurrent State: 44:[41, 36], Operations: ['27-15=12', '24+12=36']\nExploring Operation: 41+36=77, Resulting Numbers: [77]\n77,44 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 44:[41, 36], Operations: ['27-15=12', '24+12=36']\nExploring Operation: 41-36=5, Resulting Numbers: [5]\n5,44 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 44:[24, 41, 12], Operations: ['27-15=12']\nExploring Operation: 41+12=53, Resulting Numbers: [24, 53]\nGenerated Node #0,4,1: 44:[24, 53] Operation: 41+12=53\nMoving to Node #0,4,1\nCurrent State: 44:[24, 53], Operations: ['27-15=12', '41+12=53']\nExploring Operation: 53-24=29, Resulting Numbers: [29]\n29,44 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 44:[24, 53], Operations: ['27-15=12', '41+12=53']\nExploring Operation: 24+53=77, Resulting Numbers: [77]\n77,44 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 44:[24, 41, 12], Operations: ['27-15=12']\nExploring Operation: 24-12=12, Resulting Numbers: [41, 12]\nGenerated Node #0,4,2: 44:[41, 12] Operation: 24-12=12\nMoving to Node #0,4,2\nCurrent State: 44:[41, 12], Operations: ['27-15=12', '24-12=12']\nExploring Operation: 41+12=53, Resulting Numbers: [53]\n53,44 unequal: No Solution\nMoving to Node #0,4,2\nCurrent State: 44:[41, 12], Operations: ['27-15=12', '24-12=12']\nExploring Operation: 41-12=29, Resulting Numbers: [29]\n29,44 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 44:[24, 41, 12], Operations: ['27-15=12']\nExploring Operation: 41-12=29, Resulting Numbers: [24, 29]\nGenerated Node #0,4,3: 44:[24, 29] Operation: 41-12=29\nMoving to Node #0,4,3\nCurrent State: 44:[24, 29], Operations: ['27-15=12', '41-12=29']\nExploring Operation: 24+29=53, Resulting Numbers: [53]\n53,44 unequal: No Solution\nMoving to Node #0,4,3\nCurrent State: 44:[24, 29], Operations: ['27-15=12', '41-12=29']\nExploring Operation: 29-24=5, Resulting Numbers: [5]\n5,44 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 44:[24, 41, 12], Operations: ['27-15=12']\nExploring Operation: 24/12=2, Resulting Numbers: [41, 2]\nGenerated Node #0,4,4: 44:[41, 2] Operation: 24/12=2\nMoving to Node #0,4,4\nCurrent State: 44:[41, 2], Operations: ['27-15=12', '24/12=2']\nExploring Operation: 41+2=43, Resulting Numbers: [43]\n43,44 unequal: No Solution\nMoving to Node #0,4,4\nCurrent State: 44:[41, 2], Operations: ['27-15=12', '24/12=2']\nExploring Operation: 41-2=39, Resulting Numbers: [39]\n39,44 unequal: No Solution\nMoving to Node #0,4,4\nCurrent State: 44:[41, 2], Operations: ['27-15=12', '24/12=2']\nExploring Operation: 41*2=82, Resulting Numbers: [82]\n82,44 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 44:[24, 41, 12], Operations: ['27-15=12']\nExploring Operation: 24+41=65, Resulting Numbers: [12, 65]\nGenerated Node #0,4,5: 44:[12, 65] Operation: 24+41=65\nMoving to Node #0,4,5\nCurrent State: 44:[12, 65], Operations: ['27-15=12', '24+41=65']\nExploring Operation: 65-12=53, Resulting Numbers: [53]\n53,44 unequal: No Solution\nMoving to Node #0,4,5\nCurrent State: 44:[12, 65], Operations: ['27-15=12', '24+41=65']\nExploring Operation: 12+65=77, Resulting Numbers: [77]\n77,44 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 44:[24, 41, 12], Operations: ['27-15=12']\nExploring Operation: 41-24=17, Resulting Numbers: [12, 17]\nGenerated Node #0,4,6: 44:[12, 17] Operation: 41-24=17\nMoving to Node #0,4,6\nCurrent State: 44:[12, 17], Operations: ['27-15=12', '41-24=17']\nExploring Operation: 12+17=29, Resulting Numbers: [29]\n29,44 unequal: No Solution\nMoving to Node #0,4,6\nCurrent State: 44:[12, 17], Operations: ['27-15=12', '41-24=17']\nExploring Operation: 17-12=5, Resulting Numbers: [5]\n5,44 unequal: No Solution\nMoving to Node #0\nCurrent State: 44:[27, 24, 41, 15], Operations: []\nExploring Operation: 24-15=9, Resulting Numbers: [27, 41, 9]\nGenerated Node #0,5: 44:[27, 41, 9] Operation: 24-15=9\nMoving to Node #0,5\nCurrent State: 44:[27, 41, 9], Operations: ['24-15=9']\nExploring Operation: 27+9=36, Resulting Numbers: [41, 36]\nGenerated Node #0,5,0: 44:[41, 36] Operation: 27+9=36\nMoving to Node #0,5,0\nCurrent State: 44:[41, 36], Operations: ['24-15=9', '27+9=36']\nExploring Operation: 41+36=77, Resulting Numbers: [77]\n77,44 unequal: No Solution\nMoving to Node #0,5,0\nCurrent State: 44:[41, 36], Operations: ['24-15=9', '27+9=36']\nExploring Operation: 41-36=5, Resulting Numbers: [5]\n5,44 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 44:[27, 41, 9], Operations: ['24-15=9']\nExploring Operation: 41+9=50, Resulting Numbers: [27, 50]\nGenerated Node #0,5,1: 44:[27, 50] Operation: 41+9=50\nMoving to Node #0,5,1\nCurrent State: 44:[27, 50], Operations: ['24-15=9', '41+9=50']\nExploring Operation: 50-27=23, Resulting Numbers: [23]\n23,44 unequal: No Solution\nMoving to Node #0,5,1\nCurrent State: 44:[27, 50], Operations: ['24-15=9', '41+9=50']\nExploring Operation: 27+50=77, Resulting Numbers: [77]\n77,44 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 44:[27, 41, 9], Operations: ['24-15=9']\nExploring Operation: 27-9=18, Resulting Numbers: [41, 18]\nGenerated Node #0,5,2: 44:[41, 18] Operation: 27-9=18\nMoving to Node #0,5,2\nCurrent State: 44:[41, 18], Operations: ['24-15=9', '27-9=18']\nExploring Operation: 41+18=59, Resulting Numbers: [59]\n59,44 unequal: No Solution\nMoving to Node #0,5,2\nCurrent State: 44:[41, 18], Operations: ['24-15=9', '27-9=18']\nExploring Operation: 41-18=23, Resulting Numbers: [23]\n23,44 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 44:[27, 41, 9], Operations: ['24-15=9']\nExploring Operation: 41-9=32, Resulting Numbers: [27, 32]\nGenerated Node #0,5,3: 44:[27, 32] Operation: 41-9=32\nMoving to Node #0,5,3\nCurrent State: 44:[27, 32], Operations: ['24-15=9', '41-9=32']\nExploring Operation: 27+32=59, Resulting Numbers: [59]\n59,44 unequal: No Solution\nMoving to Node #0,5,3\nCurrent State: 44:[27, 32], Operations: ['24-15=9', '41-9=32']\nExploring Operation: 32-27=5, Resulting Numbers: [5]\n5,44 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 44:[27, 41, 9], Operations: ['24-15=9']\nExploring Operation: 27/9=3, Resulting Numbers: [41, 3]\nGenerated Node #0,5,4: 44:[41, 3] Operation: 27/9=3\nMoving to Node #0,5,4\nCurrent State: 44:[41, 3], Operations: ['24-15=9', '27/9=3']\nExploring Operation: 41+3=44, Resulting Numbers: [44]\n44,44 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [46, 35, 50, 42] using the four basic arithmetic operations (+, -, *, /) to reach 73.",
"role": "user"
},
{
"content": "Current State: 73:[46, 35, 50, 42], Operations: []\nExploring Operation: 35+42=77, Resulting Numbers: [46, 50, 77]\nGenerated Node #0,0: 73:[46, 50, 77] Operation: 35+42=77\nMoving to Node #0,0\nCurrent State: 73:[46, 50, 77], Operations: ['35+42=77']\nExploring Operation: 46+50=96, Resulting Numbers: [77, 96]\nGenerated Node #0,0,0: 73:[77, 96] Operation: 46+50=96\nMoving to Node #0,0,0\nCurrent State: 73:[77, 96], Operations: ['35+42=77', '46+50=96']\nExploring Operation: 96-77=19, Resulting Numbers: [19]\n19,73 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 73:[46, 50, 77], Operations: ['35+42=77']\nExploring Operation: 77-46=31, Resulting Numbers: [50, 31]\nGenerated Node #0,0,1: 73:[50, 31] Operation: 77-46=31\nMoving to Node #0,0,1\nCurrent State: 73:[50, 31], Operations: ['35+42=77', '77-46=31']\nExploring Operation: 50+31=81, Resulting Numbers: [81]\n81,73 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 73:[50, 31], Operations: ['35+42=77', '77-46=31']\nExploring Operation: 50-31=19, Resulting Numbers: [19]\n19,73 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 73:[46, 50, 77], Operations: ['35+42=77']\nExploring Operation: 50-46=4, Resulting Numbers: [77, 4]\nGenerated Node #0,0,2: 73:[77, 4] Operation: 50-46=4\nMoving to Node #0,0,2\nCurrent State: 73:[77, 4], Operations: ['35+42=77', '50-46=4']\nExploring Operation: 77-4=73, Resulting Numbers: [73]\n73,73 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [61, 53, 69, 10] using the four basic arithmetic operations (+, -, *, /) to reach 55.",
"role": "user"
},
{
"content": "Current State: 55:[61, 53, 69, 10], Operations: []\nExploring Operation: 69-10=59, Resulting Numbers: [61, 53, 59]\nGenerated Node #0,0: 55:[61, 53, 59] Operation: 69-10=59\nExploring Operation: 69-61=8, Resulting Numbers: [53, 10, 8]\nGenerated Node #0,1: 55:[53, 10, 8] Operation: 69-61=8\nExploring Operation: 69-53=16, Resulting Numbers: [61, 10, 16]\nGenerated Node #0,2: 55:[61, 10, 16] Operation: 69-53=16\nMoving to Node #0,1\nCurrent State: 55:[53, 10, 8], Operations: ['69-61=8']\nExploring Operation: 10+8=18, Resulting Numbers: [53, 18]\nGenerated Node #0,1,0: 55:[53, 18] Operation: 10+8=18\nExploring Operation: 53+8=61, Resulting Numbers: [10, 61]\nGenerated Node #0,1,1: 55:[10, 61] Operation: 53+8=61\nExploring Operation: 10-8=2, Resulting Numbers: [53, 2]\nGenerated Node #0,1,2: 55:[53, 2] Operation: 10-8=2\nMoving to Node #0,0\nCurrent State: 55:[61, 53, 59], Operations: ['69-10=59']\nExploring Operation: 61-59=2, Resulting Numbers: [53, 2]\nGenerated Node #0,0,0: 55:[53, 2] Operation: 61-59=2\nExploring Operation: 61-53=8, Resulting Numbers: [59, 8]\nGenerated Node #0,0,1: 55:[59, 8] Operation: 61-53=8\nExploring Operation: 59-53=6, Resulting Numbers: [61, 6]\nGenerated Node #0,0,2: 55:[61, 6] Operation: 59-53=6\nMoving to Node #0,2\nCurrent State: 55:[61, 10, 16], Operations: ['69-53=16']\nExploring Operation: 61-16=45, Resulting Numbers: [10, 45]\nGenerated Node #0,2,0: 55:[10, 45] Operation: 61-16=45\nExploring Operation: 61-10=51, Resulting Numbers: [16, 51]\nGenerated Node #0,2,1: 55:[16, 51] Operation: 61-10=51\nExploring Operation: 16-10=6, Resulting Numbers: [61, 6]\nGenerated Node #0,2,2: 55:[61, 6] Operation: 16-10=6\nMoving to Node #0,1,2\nCurrent State: 55:[53, 2], Operations: ['69-61=8', '10-8=2']\nExploring Operation: 53-2=51, Resulting Numbers: [51]\n51,55 unequal: No Solution\nExploring Operation: 53+2=55, Resulting Numbers: [55]\n55,55 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [64, 5, 67, 99] using the four basic arithmetic operations (+, -, *, /) to reach 38.",
"role": "user"
},
{
"content": "Current State: 38:[64, 5, 67, 99], Operations: []\nExploring Operation: 99-64=35, Resulting Numbers: [5, 67, 35]\nGenerated Node #0,0: 38:[5, 67, 35] Operation: 99-64=35\nExploring Operation: 67-64=3, Resulting Numbers: [5, 99, 3]\nGenerated Node #0,1: 38:[5, 99, 3] Operation: 67-64=3\nExploring Operation: 99-67=32, Resulting Numbers: [64, 5, 32]\nGenerated Node #0,2: 38:[64, 5, 32] Operation: 99-67=32\nMoving to Node #0,0\nCurrent State: 38:[5, 67, 35], Operations: ['99-64=35']\nExploring Operation: 67-5=62, Resulting Numbers: [35, 62]\nGenerated Node #0,0,0: 38:[35, 62] Operation: 67-5=62\nExploring Operation: 67-35=32, Resulting Numbers: [5, 32]\nGenerated Node #0,0,1: 38:[5, 32] Operation: 67-35=32\nExploring Operation: 5+35=40, Resulting Numbers: [67, 40]\nGenerated Node #0,0,2: 38:[67, 40] Operation: 5+35=40\nMoving to Node #0,2\nCurrent State: 38:[64, 5, 32], Operations: ['99-67=32']\nExploring Operation: 64-32=32, Resulting Numbers: [5, 32]\nGenerated Node #0,2,0: 38:[5, 32] Operation: 64-32=32\nExploring Operation: 64-5=59, Resulting Numbers: [32, 59]\nGenerated Node #0,2,1: 38:[32, 59] Operation: 64-5=59\nExploring Operation: 64/32=2, Resulting Numbers: [5, 2]\nGenerated Node #0,2,2: 38:[5, 2] Operation: 64/32=2\nMoving to Node #0,1\nCurrent State: 38:[5, 99, 3], Operations: ['67-64=3']\nExploring Operation: 99/3=33, Resulting Numbers: [5, 33]\nGenerated Node #0,1,0: 38:[5, 33] Operation: 99/3=33\nExploring Operation: 99-5=94, Resulting Numbers: [3, 94]\nGenerated Node #0,1,1: 38:[3, 94] Operation: 99-5=94\nExploring Operation: 5-3=2, Resulting Numbers: [99, 2]\nGenerated Node #0,1,2: 38:[99, 2] Operation: 5-3=2\nMoving to Node #0,2,2\nCurrent State: 38:[5, 2], Operations: ['99-67=32', '64/32=2']\nExploring Operation: 5*2=10, Resulting Numbers: [10]\n10,38 unequal: No Solution\nExploring Operation: 5+2=7, Resulting Numbers: [7]\n7,38 unequal: No Solution\nExploring Operation: 5-2=3, Resulting Numbers: [3]\n3,38 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 38:[5, 33], Operations: ['67-64=3', '99/3=33']\nExploring Operation: 33-5=28, Resulting Numbers: [28]\n28,38 unequal: No Solution\nExploring Operation: 5*33=165, Resulting Numbers: [165]\n165,38 unequal: No Solution\nExploring Operation: 5+33=38, Resulting Numbers: [38]\n38,38 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [48, 24, 18, 30] using the four basic arithmetic operations (+, -, *, /) to reach 36.",
"role": "user"
},
{
"content": "Current State: 36:[48, 24, 18, 30], Operations: []\nExploring Operation: 48/24=2, Resulting Numbers: [18, 30, 2]\nGenerated Node #0,0: 36:[18, 30, 2] Operation: 48/24=2\nMoving to Node #0,0\nCurrent State: 36:[18, 30, 2], Operations: ['48/24=2']\nExploring Operation: 30-18=12, Resulting Numbers: [2, 12]\nGenerated Node #0,0,0: 36:[2, 12] Operation: 30-18=12\nMoving to Node #0,0,0\nCurrent State: 36:[2, 12], Operations: ['48/24=2', '30-18=12']\nExploring Operation: 12/2=6, Resulting Numbers: [6]\n6,36 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 36:[2, 12], Operations: ['48/24=2', '30-18=12']\nExploring Operation: 12-2=10, Resulting Numbers: [10]\n10,36 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 36:[2, 12], Operations: ['48/24=2', '30-18=12']\nExploring Operation: 2+12=14, Resulting Numbers: [14]\n14,36 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 36:[2, 12], Operations: ['48/24=2', '30-18=12']\nExploring Operation: 2*12=24, Resulting Numbers: [24]\n24,36 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 36:[18, 30, 2], Operations: ['48/24=2']\nExploring Operation: 30/2=15, Resulting Numbers: [18, 15]\nGenerated Node #0,0,1: 36:[18, 15] Operation: 30/2=15\nMoving to Node #0,0,1\nCurrent State: 36:[18, 15], Operations: ['48/24=2', '30/2=15']\nExploring Operation: 18-15=3, Resulting Numbers: [3]\n3,36 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 36:[18, 15], Operations: ['48/24=2', '30/2=15']\nExploring Operation: 18+15=33, Resulting Numbers: [33]\n33,36 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 36:[18, 30, 2], Operations: ['48/24=2']\nExploring Operation: 30+2=32, Resulting Numbers: [18, 32]\nGenerated Node #0,0,2: 36:[18, 32] Operation: 30+2=32\nMoving to Node #0,0,2\nCurrent State: 36:[18, 32], Operations: ['48/24=2', '30+2=32']\nExploring Operation: 32-18=14, Resulting Numbers: [14]\n14,36 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 36:[18, 32], Operations: ['48/24=2', '30+2=32']\nExploring Operation: 18+32=50, Resulting Numbers: [50]\n50,36 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 36:[18, 30, 2], Operations: ['48/24=2']\nExploring Operation: 18*2=36, Resulting Numbers: [30, 36]\nGenerated Node #0,0,3: 36:[30, 36] Operation: 18*2=36\nMoving to Node #0,0,3\nCurrent State: 36:[30, 36], Operations: ['48/24=2', '18*2=36']\nExploring Operation: 36-30=6, Resulting Numbers: [6]\n6,36 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 36:[30, 36], Operations: ['48/24=2', '18*2=36']\nExploring Operation: 30+36=66, Resulting Numbers: [66]\n66,36 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 36:[18, 30, 2], Operations: ['48/24=2']\nExploring Operation: 18/2=9, Resulting Numbers: [30, 9]\nGenerated Node #0,0,4: 36:[30, 9] Operation: 18/2=9\nMoving to Node #0,0,4\nCurrent State: 36:[30, 9], Operations: ['48/24=2', '18/2=9']\nExploring Operation: 30+9=39, Resulting Numbers: [39]\n39,36 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 36:[30, 9], Operations: ['48/24=2', '18/2=9']\nExploring Operation: 30-9=21, Resulting Numbers: [21]\n21,36 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 36:[18, 30, 2], Operations: ['48/24=2']\nExploring Operation: 18+2=20, Resulting Numbers: [30, 20]\nGenerated Node #0,0,5: 36:[30, 20] Operation: 18+2=20\nMoving to Node #0,0,5\nCurrent State: 36:[30, 20], Operations: ['48/24=2', '18+2=20']\nExploring Operation: 30-20=10, Resulting Numbers: [10]\n10,36 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 36:[30, 20], Operations: ['48/24=2', '18+2=20']\nExploring Operation: 30+20=50, Resulting Numbers: [50]\n50,36 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 36:[18, 30, 2], Operations: ['48/24=2']\nExploring Operation: 18-2=16, Resulting Numbers: [30, 16]\nGenerated Node #0,0,6: 36:[30, 16] Operation: 18-2=16\nMoving to Node #0,0,6\nCurrent State: 36:[30, 16], Operations: ['48/24=2', '18-2=16']\nExploring Operation: 30-16=14, Resulting Numbers: [14]\n14,36 unequal: No Solution\nMoving to Node #0,0,6\nCurrent State: 36:[30, 16], Operations: ['48/24=2', '18-2=16']\nExploring Operation: 30+16=46, Resulting Numbers: [46]\n46,36 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 36:[18, 30, 2], Operations: ['48/24=2']\nExploring Operation: 30-2=28, Resulting Numbers: [18, 28]\nGenerated Node #0,0,7: 36:[18, 28] Operation: 30-2=28\nMoving to Node #0,0,7\nCurrent State: 36:[18, 28], Operations: ['48/24=2', '30-2=28']\nExploring Operation: 28-18=10, Resulting Numbers: [10]\n10,36 unequal: No Solution\nMoving to Node #0,0,7\nCurrent State: 36:[18, 28], Operations: ['48/24=2', '30-2=28']\nExploring Operation: 18+28=46, Resulting Numbers: [46]\n46,36 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 36:[18, 30, 2], Operations: ['48/24=2']\nExploring Operation: 18+30=48, Resulting Numbers: [2, 48]\nGenerated Node #0,0,8: 36:[2, 48] Operation: 18+30=48\nMoving to Node #0,0,8\nCurrent State: 36:[2, 48], Operations: ['48/24=2', '18+30=48']\nExploring Operation: 48/2=24, Resulting Numbers: [24]\n24,36 unequal: No Solution\nMoving to Node #0,0,8\nCurrent State: 36:[2, 48], Operations: ['48/24=2', '18+30=48']\nExploring Operation: 48-2=46, Resulting Numbers: [46]\n46,36 unequal: No Solution\nMoving to Node #0,0,8\nCurrent State: 36:[2, 48], Operations: ['48/24=2', '18+30=48']\nExploring Operation: 2+48=50, Resulting Numbers: [50]\n50,36 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 36:[18, 30, 2], Operations: ['48/24=2']\nExploring Operation: 30*2=60, Resulting Numbers: [18, 60]\nGenerated Node #0,0,9: 36:[18, 60] Operation: 30*2=60\nMoving to Node #0,0,9\nCurrent State: 36:[18, 60], Operations: ['48/24=2', '30*2=60']\nExploring Operation: 60-18=42, Resulting Numbers: [42]\n42,36 unequal: No Solution\nMoving to Node #0\nCurrent State: 36:[48, 24, 18, 30], Operations: []\nExploring Operation: 48-30=18, Resulting Numbers: [24, 18, 18]\nGenerated Node #0,1: 36:[24, 18, 18] Operation: 48-30=18\nMoving to Node #0,1\nCurrent State: 36:[24, 18, 18], Operations: ['48-30=18']\nExploring Operation: 24-18=6, Resulting Numbers: [18, 6]\nGenerated Node #0,1,0: 36:[18, 6] Operation: 24-18=6\nMoving to Node #0,1,0\nCurrent State: 36:[18, 6], Operations: ['48-30=18', '24-18=6']\nExploring Operation: 18-6=12, Resulting Numbers: [12]\n12,36 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 36:[18, 6], Operations: ['48-30=18', '24-18=6']\nExploring Operation: 18/6=3, Resulting Numbers: [3]\n3,36 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 36:[18, 6], Operations: ['48-30=18', '24-18=6']\nExploring Operation: 18+6=24, Resulting Numbers: [24]\n24,36 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 36:[24, 18, 18], Operations: ['48-30=18']\nExploring Operation: 24-18=6, Resulting Numbers: [18, 6]\nGenerated Node #0,1,1: 36:[18, 6] Operation: 24-18=6\nMoving to Node #0,1,1\nCurrent State: 36:[18, 6], Operations: ['48-30=18', '24-18=6']\nExploring Operation: 18-6=12, Resulting Numbers: [12]\n12,36 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 36:[18, 6], Operations: ['48-30=18', '24-18=6']\nExploring Operation: 18/6=3, Resulting Numbers: [3]\n3,36 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 36:[18, 6], Operations: ['48-30=18', '24-18=6']\nExploring Operation: 18+6=24, Resulting Numbers: [24]\n24,36 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 36:[24, 18, 18], Operations: ['48-30=18']\nExploring Operation: 24+18=42, Resulting Numbers: [18, 42]\nGenerated Node #0,1,2: 36:[18, 42] Operation: 24+18=42\nMoving to Node #0,1,2\nCurrent State: 36:[18, 42], Operations: ['48-30=18', '24+18=42']\nExploring Operation: 42-18=24, Resulting Numbers: [24]\n24,36 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 36:[18, 42], Operations: ['48-30=18', '24+18=42']\nExploring Operation: 18+42=60, Resulting Numbers: [60]\n60,36 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 36:[24, 18, 18], Operations: ['48-30=18']\nExploring Operation: 24+18=42, Resulting Numbers: [18, 42]\nGenerated Node #0,1,3: 36:[18, 42] Operation: 24+18=42\nMoving to Node #0,1,3\nCurrent State: 36:[18, 42], Operations: ['48-30=18', '24+18=42']\nExploring Operation: 42-18=24, Resulting Numbers: [24]\n24,36 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 36:[18, 42], Operations: ['48-30=18', '24+18=42']\nExploring Operation: 18+42=60, Resulting Numbers: [60]\n60,36 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 36:[24, 18, 18], Operations: ['48-30=18']\nExploring Operation: 18+18=36, Resulting Numbers: [24, 36]\nGenerated Node #0,1,4: 36:[24, 36] Operation: 18+18=36\nMoving to Node #0,1,4\nCurrent State: 36:[24, 36], Operations: ['48-30=18', '18+18=36']\nExploring Operation: 36-24=12, Resulting Numbers: [12]\n12,36 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 36:[24, 36], Operations: ['48-30=18', '18+18=36']\nExploring Operation: 24+36=60, Resulting Numbers: [60]\n60,36 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 36:[24, 18, 18], Operations: ['48-30=18']\nExploring Operation: 18/18=1, Resulting Numbers: [24, 1]\nGenerated Node #0,1,5: 36:[24, 1] Operation: 18/18=1\nMoving to Node #0,1,5\nCurrent State: 36:[24, 1], Operations: ['48-30=18', '18/18=1']\nExploring Operation: 24-1=23, Resulting Numbers: [23]\n23,36 unequal: No Solution\nMoving to Node #0,1,5\nCurrent State: 36:[24, 1], Operations: ['48-30=18', '18/18=1']\nExploring Operation: 24*1=24, Resulting Numbers: [24]\n24,36 unequal: No Solution\nMoving to Node #0,1,5\nCurrent State: 36:[24, 1], Operations: ['48-30=18', '18/18=1']\nExploring Operation: 24/1=24, Resulting Numbers: [24]\n24,36 unequal: No Solution\nMoving to Node #0,1,5\nCurrent State: 36:[24, 1], Operations: ['48-30=18', '18/18=1']\nExploring Operation: 24+1=25, Resulting Numbers: [25]\n25,36 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 36:[24, 18, 18], Operations: ['48-30=18']\nExploring Operation: 18-18=0, Resulting Numbers: [24, 0]\nGenerated Node #0,1,6: 36:[24, 0] Operation: 18-18=0\nMoving to Node #0,1,6\nCurrent State: 36:[24, 0], Operations: ['48-30=18', '18-18=0']\nExploring Operation: 24*0=0, Resulting Numbers: [0]\n0,36 unequal: No Solution\nMoving to Node #0,1,6\nCurrent State: 36:[24, 0], Operations: ['48-30=18', '18-18=0']\nExploring Operation: 24+0=24, Resulting Numbers: [24]\n24,36 unequal: No Solution\nMoving to Node #0,1,6\nCurrent State: 36:[24, 0], Operations: ['48-30=18', '18-18=0']\nExploring Operation: 24-0=24, Resulting Numbers: [24]\n24,36 unequal: No Solution\nMoving to Node #0\nCurrent State: 36:[48, 24, 18, 30], Operations: []\nExploring Operation: 48-24=24, Resulting Numbers: [18, 30, 24]\nGenerated Node #0,2: 36:[18, 30, 24] Operation: 48-24=24\nMoving to Node #0,2\nCurrent State: 36:[18, 30, 24], Operations: ['48-24=24']\nExploring Operation: 30-24=6, Resulting Numbers: [18, 6]\nGenerated Node #0,2,0: 36:[18, 6] Operation: 30-24=6\nMoving to Node #0,2,0\nCurrent State: 36:[18, 6], Operations: ['48-24=24', '30-24=6']\nExploring Operation: 18-6=12, Resulting Numbers: [12]\n12,36 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 36:[18, 6], Operations: ['48-24=24', '30-24=6']\nExploring Operation: 18/6=3, Resulting Numbers: [3]\n3,36 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 36:[18, 6], Operations: ['48-24=24', '30-24=6']\nExploring Operation: 18+6=24, Resulting Numbers: [24]\n24,36 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 36:[18, 30, 24], Operations: ['48-24=24']\nExploring Operation: 30-18=12, Resulting Numbers: [24, 12]\nGenerated Node #0,2,1: 36:[24, 12] Operation: 30-18=12\nMoving to Node #0,2,1\nCurrent State: 36:[24, 12], Operations: ['48-24=24', '30-18=12']\nExploring Operation: 24+12=36, Resulting Numbers: [36]\n36,36 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [11, 32, 65, 22] using the four basic arithmetic operations (+, -, *, /) to reach 86.",
"role": "user"
},
{
"content": "Current State: 86:[11, 32, 65, 22], Operations: []\nExploring Operation: 65-22=43, Resulting Numbers: [11, 32, 43]\nGenerated Node #0,0: 86:[11, 32, 43] Operation: 65-22=43\nMoving to Node #0,0\nCurrent State: 86:[11, 32, 43], Operations: ['65-22=43']\nExploring Operation: 11+32=43, Resulting Numbers: [43, 43]\nGenerated Node #0,0,0: 86:[43, 43] Operation: 11+32=43\nMoving to Node #0,0,0\nCurrent State: 86:[43, 43], Operations: ['65-22=43', '11+32=43']\nExploring Operation: 43+43=86, Resulting Numbers: [86]\n86,86 equal: Goal Reached",
"role": "assistant"
}
] | false
|
[
{
"content": "You are a helpful assistant.",
"role": "system"
},
{
"content": "Combine [96, 29, 13, 45] using the four basic arithmetic operations (+, -, *, /) to reach 26.",
"role": "user"
},
{
"content": "Current State: 26:[96, 29, 13, 45], Operations: []\n",
"role": "assistant"
}
] | true
|
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