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def binomialCoeff(n, k):
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result = 1
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for i in range(1, k+1):
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result = result * (n-i+1) // i
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return result
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def pascal_upp(n):
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return [[binomialCoeff(j, i) for j in range(n)] for i in range(n)]
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def pascal_low(n):
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return [[binomialCoeff(i, j) for j in range(n)] for i in range(n)]
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def pascal_sym(n):
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return [[binomialCoeff(i+j, i) for j in range(n)] for i in range(n)]
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