





'''simple docstring'''

def lowerCamelCase						(     __lowerCamelCase :    List[Any]					,       __lowerCamelCase :    Union[str, Any]    )						->List[str]:
    _SCREAMING_SNAKE_CASE									=			0
    _SCREAMING_SNAKE_CASE									=			len(__lowerCamelCase    ) - 1

    while left <= right:
        # avoid divided by 0 during interpolation
        if sorted_collection[left] == sorted_collection[right]:
            if sorted_collection[left] == item:
                return left
            else:
                return None

        _SCREAMING_SNAKE_CASE									=			left + ((item - sorted_collection[left]) * (right - left)) // (
            sorted_collection[right] - sorted_collection[left]
        )

        # out of range check
        if point < 0 or point >= len(__lowerCamelCase    ):
            return None

        _SCREAMING_SNAKE_CASE									=			sorted_collection[point]
        if current_item == item:
            return point
        else:
            if point < left:
                _SCREAMING_SNAKE_CASE									=			left
                _SCREAMING_SNAKE_CASE									=			point
            elif point > right:
                _SCREAMING_SNAKE_CASE									=			right
                _SCREAMING_SNAKE_CASE									=			point
            else:
                if item < current_item:
                    _SCREAMING_SNAKE_CASE									=			point - 1
                else:
                    _SCREAMING_SNAKE_CASE									=			point + 1
    return None





def lowerCamelCase						(     __lowerCamelCase :    str					,       __lowerCamelCase :    Dict					,       __lowerCamelCase :    Tuple					,       __lowerCamelCase :    str    )						->List[str]:

    # avoid divided by 0 during interpolation
    if sorted_collection[left] == sorted_collection[right]:
        if sorted_collection[left] == item:
            return left
        else:
            return None

    _SCREAMING_SNAKE_CASE									=			left + ((item - sorted_collection[left]) * (right - left)) // (
        sorted_collection[right] - sorted_collection[left]
    )

    # out of range check
    if point < 0 or point >= len(__lowerCamelCase    ):
        return None

    if sorted_collection[point] == item:
        return point
    elif point < left:
        return interpolation_search_by_recursion(__lowerCamelCase					,       __lowerCamelCase					,       __lowerCamelCase					,       __lowerCamelCase    )
    elif point > right:
        return interpolation_search_by_recursion(__lowerCamelCase					,       __lowerCamelCase					,       __lowerCamelCase					,       __lowerCamelCase    )
    else:
        if sorted_collection[point] > item:
            return interpolation_search_by_recursion(
                __lowerCamelCase					,       __lowerCamelCase					,       __lowerCamelCase					,       point - 1    )
        else:
            return interpolation_search_by_recursion(
                __lowerCamelCase					,       __lowerCamelCase					,       point + 1					,       __lowerCamelCase    )





def lowerCamelCase						(     __lowerCamelCase :    Dict    )						->int:
    if collection != sorted(__lowerCamelCase    ):
        raise ValueError("""Collection must be ascending sorted"""    )
    return True


if __name__ == "__main__":
      import sys
      lowercase_					= 0
      if debug == 1:
            lowercase_					= [10, 30, 40, 45, 50, 66, 77, 93]
            try:
                  __assert_sorted(collection)
            except ValueError:
                  sys.exit("""Sequence must be ascending sorted to apply interpolation search""")
            lowercase_					= 67

      lowercase_					= interpolation_search(collection, target)
      if result is not None:
            print(f"""{target} found at positions: {result}""")
      else:
            print("""Not found""")










'''simple docstring'''

import random
import sys

import numpy as np
from matplotlib import pyplot as plt
from matplotlib.colors import ListedColormap

lowercase_					= """Usage of script: script_name <size_of_canvas:int>"""

lowercase_					= [0] * 100 + [1] * 10
random.shuffle(choice)





def lowerCamelCase						(     __lowerCamelCase :    int    )						->list[list[bool]]:
    _SCREAMING_SNAKE_CASE									=			[[False for i in range(__lowerCamelCase    )] for j in range(__lowerCamelCase    )]
    return canvas





def lowerCamelCase						(     __lowerCamelCase :    list[list[bool]]    )						->None:
    for i, row in enumerate(__lowerCamelCase    ):
        for j, _ in enumerate(__lowerCamelCase    ):
            _SCREAMING_SNAKE_CASE									=			bool(random.getrandbits(1    )    )





def lowerCamelCase						(     __lowerCamelCase :    list[list[bool]]    )						->list[list[bool]]:
    _SCREAMING_SNAKE_CASE									=			np.array(__lowerCamelCase    )
    _SCREAMING_SNAKE_CASE									=			np.array(create_canvas(current_canvas.shape[0]    )    )
    for r, row in enumerate(__lowerCamelCase    ):
        for c, pt in enumerate(__lowerCamelCase    ):
            _SCREAMING_SNAKE_CASE									=			__judge_point(
                __lowerCamelCase					,       current_canvas[r - 1 : r + 2, c - 1 : c + 2]    )

    _SCREAMING_SNAKE_CASE									=			next_gen_canvas
    del next_gen_canvas  # cleaning memory as we move on.
    _SCREAMING_SNAKE_CASE									=			current_canvas.tolist()
    return return_canvas





def lowerCamelCase						(     __lowerCamelCase :    bool					,       __lowerCamelCase :    list[list[bool]]    )						->bool:
    _SCREAMING_SNAKE_CASE									=			0
    _SCREAMING_SNAKE_CASE									=			0
    # finding dead or alive neighbours count.
    for i in neighbours:
        for status in i:
            if status:
                alive += 1
            else:
                dead += 1

    # handling duplicate entry for focus pt.
    if pt:
        alive -= 1
    else:
        dead -= 1

    # running the rules of game here.
    _SCREAMING_SNAKE_CASE									=			pt
    if pt:
        if alive < 2:
            _SCREAMING_SNAKE_CASE									=			False
        elif alive == 2 or alive == 3:
            _SCREAMING_SNAKE_CASE									=			True
        elif alive > 3:
            _SCREAMING_SNAKE_CASE									=			False
    else:
        if alive == 3:
            _SCREAMING_SNAKE_CASE									=			True

    return state


if __name__ == "__main__":
      if len(sys.argv) != 2:
            raise Exception(usage_doc)

      lowercase_					= int(sys.argv[1])
      # main working structure of this module.
      lowercase_					= create_canvas(canvas_size)
      seed(c)
      lowercase_				,			lowercase_					= plt.subplots()
      fig.show()
      lowercase_					= ListedColormap(["""w""", """k"""])
      try:
            while True:
                  lowercase_					= run(c)
                  ax.matshow(c, cmap=cmap)
                  fig.canvas.draw()
                  ax.cla()
      except KeyboardInterrupt:
            # do nothing.
            pass



