39 lines
771 B
Python
39 lines
771 B
Python
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from math import comb
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def pascal(n, left, right):
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i = 1
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result = [[left, right]]
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while i < n:
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prev_row = result[-1]
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result.append(
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[left ** (i+1)]
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+ [comb(i+1, j+1) * (left ** (len(prev_row)-j-1)) * (right ** (j+1)) for j in range(len(prev_row)-1)]
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+ [right ** (i+1)])
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i += 1
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return result
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def pretty_print_pascal(triangle):
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for i, row in enumerate(triangle):
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print(f'{i+1}.\t{row}')
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def pretty_print_row(row):
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for i, coefficient in enumerate(row):
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print(f'{coefficient}\tx^{len(row)-i-1}\ty^{i}')
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if __name__ == "__main__":
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print('a. ')
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pretty_print_row(pascal(12, 1, 1)[-1])
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print()
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print('b. ')
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pretty_print_row(pascal(12, 1, 2)[-1])
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print()
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print('c. ')
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pretty_print_row(pascal(12, 2, -3)[-1])
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