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dbee5f072f
* Update strassen_matrix_multiplication.py * Update matrix_operation.py * Update enigma_machine2.py * Update enigma_machine.py * Update enigma_machine2.py * Update rod_cutting.py * Update external_sort.py * Update sol1.py * Update hill_cipher.py * Update prime_numbers.py * Update integration_by_simpson_approx.py
50 lines
1.2 KiB
Python
50 lines
1.2 KiB
Python
"""
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Problem Statement:
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By starting at the top of the triangle below and moving to adjacent numbers on
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the row below, the maximum total from top to bottom is 23.
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3
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7 4
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2 4 6
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8 5 9 3
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That is, 3 + 7 + 4 + 9 = 23.
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Find the maximum total from top to bottom in triangle.txt (right click and
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'Save Link/Target As...'), a 15K text file containing a triangle with
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one-hundred rows.
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"""
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import os
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def solution():
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"""
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Finds the maximum total in a triangle as described by the problem statement
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above.
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>>> solution()
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7273
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"""
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script_dir = os.path.dirname(os.path.realpath(__file__))
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triangle = os.path.join(script_dir, "triangle.txt")
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with open(triangle) as f:
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triangle = f.readlines()
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a = map(lambda x: x.rstrip("\r\n").split(" "), triangle)
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a = list(map(lambda x: list(map(int, x)), a))
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for i in range(1, len(a)):
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for j in range(len(a[i])):
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if j != len(a[i - 1]):
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number1 = a[i - 1][j]
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else:
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number1 = 0
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if j > 0:
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number2 = a[i - 1][j - 1]
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else:
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number2 = 0
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a[i][j] += max(number1, number2)
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return max(a[-1])
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if __name__ == "__main__":
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print(solution())
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