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symoon11
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countdown-sft

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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: 115=55, Resulting Numbers: [37, 55]\nGenerated Node #0,0,3: 55:[37, 55] Operation: 115=55\nMoving to Node #0,0,3\nCurrent State: 55:[37, 55], Operations: ['95-90=5', '115=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: 55=25, Resulting Numbers: [33, 33, 25]\nGenerated Node #0,0: 76:[33, 33, 25] Operation: 55=25\nMoving to Node #0,0\nCurrent State: 76:[33, 33, 25], Operations: ['55=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: ['55=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: ['55=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: ['55=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: ['55=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: ['55=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: ['55=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: ['55=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: ['55=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: ['55=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: ['55=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: ['55=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: ['55=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: ['55=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: ['55=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: ['55=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: ['55=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: ['55=25', '33/33=1']\nExploring Operation: 251=25, Resulting Numbers: [25]\n25,76 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 76:[25, 1], Operations: ['55=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: ['55=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: ['55=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: ['55=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: ['55=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: ['55=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: 191=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: 83=24, Resulting Numbers: [22, 24]\nGenerated Node #0,2,0: 58:[22, 24] Operation: 83=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: 330=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: 225=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: 825=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: 825=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', '83=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: 2224=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: 2211=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: 819=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: 8659=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: 6778=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: 6481=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: 7867=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: 8956=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: 8956=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: 898=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: 6794=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: 78111=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: 212=42, Resulting Numbers: [15, 78, 42]\nGenerated Node #0,0: 69:[15, 78, 42] Operation: 212=42\nMoving to Node #0,0\nCurrent State: 69:[15, 78, 42], Operations: ['212=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: ['212=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: ['212=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: ['212=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: ['212=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: ['212=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: ['212=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: ['212=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: ['212=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: ['212=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: ['212=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: ['212=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: ['212=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: ['212=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: ['212=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: ['212=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: ['212=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: ['212=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: ['212=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: 152=30, Resulting Numbers: [21, 78, 30]\nGenerated Node #0,1: 69:[21, 78, 30] Operation: 152=30\nMoving to Node #0,1\nCurrent State: 69:[21, 78, 30], Operations: ['152=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: ['152=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: ['152=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: ['152=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: ['152=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: ['152=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: ['152=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: ['152=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: 5358=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: 5323=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: 1848=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: 4272=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: 5323=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: 7242=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: 4818=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: 7747=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: 7747=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: 4282=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: 7737=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: 5313=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: 1858=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: 77=49, Resulting Numbers: [28, 21, 49]\nGenerated Node #0,3: 48:[28, 21, 49] Operation: 77=49\nMoving to Node #0,3\nCurrent State: 48:[28, 21, 49], Operations: ['77=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: ['77=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: 4949=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: 2142=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: 2835=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: 2142=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: 3528=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: 3528=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: 2142=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: 1449=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: ['77=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: 2828=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: ['77=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: 497=343, Resulting Numbers: [343]\n343,48 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 48:[28, 70], Operations: ['77=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: 2870=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: 2128=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: 3514=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: 3514=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: 2128=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: 2114=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: 720=140, Resulting Numbers: [91, 78, 140]\nGenerated Node #0,4: 85:[91, 78, 140] Operation: 720=140\nMoving to Node #0,4\nCurrent State: 85:[91, 78, 140], Operations: ['720=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: 8571=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: 8498=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: 7878=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: 85111=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: 91105=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: 9165=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: 9898=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: 91105=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: 78104=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: 7864=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: 8458=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: 7864=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: ['720=140', '140-78=62']\nExploring Operation: 9162=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: 78118=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: 9858=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: 9151=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: 78118=9204, Resulting Numbers: [9204]\n9204,85 unequal: No Solution\nMoving to Node #0,4,4\nCurrent State: 85:[78, 49], Operations: ['720=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: 7849=3822, Resulting Numbers: [3822]\n3822,85 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 85:[140, 13], Operations: ['720=140', '91-78=13']\nExploring Operation: 140+13=153, Resulting Numbers: [153]\n153,85 unequal: No Solution\nExploring Operation: 14013=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: 2020=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: 2713=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: ['720=140', '91+78=169']\nExploring Operation: 140169=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: ['720=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: 91218=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: 20162=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: 206=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: 132=26, Resulting Numbers: [44, 26]\nGenerated Node #0,9,6: 18:[44, 26] Operation: 132=26\nMoving to Node #0,9,6\nCurrent State: 18:[44, 26], Operations: ['12/6=2', '132=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: 123=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: 162=32, Resulting Numbers: [64, 90, 32]\nGenerated Node #0,0: 43:[64, 90, 32] Operation: 162=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: ['162=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: 162=32, Resulting Numbers: [26, 32]\nGenerated Node #0,1,1: 43:[26, 32] Operation: 162=32\nExploring Operation: 226=52, Resulting Numbers: [16, 52]\nGenerated Node #0,1,2: 43:[16, 52] Operation: 226=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: 4548=2160, Resulting Numbers: [2160]\n2160,43 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 43:[26, 32], Operations: ['90-64=26', '162=32']\nExploring Operation: 2632=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: ['162=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: 3226=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: 6429=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', '226=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: 1652=832, Resulting Numbers: [832]\n832,43 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 43:[64, 58], Operations: ['162=32', '90-32=58']\nExploring Operation: 64+58=122, Resulting Numbers: [122]\n122,43 unequal: No Solution\nExploring Operation: 6458=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: 6461=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: 4580=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: 2618=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: 1658=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: 3274=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: 242=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: 9048=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: ['162=32', '64-32=32']\nExploring Operation: 9032=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: 32106=3392, Resulting Numbers: [3392]\n3392,43 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 43:[90, 2], Operations: ['162=32', '64/32=2']\nExploring Operation: 902=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: 1050=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

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Number of rows:

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