56 lines
932 B
Python
56 lines
932 B
Python
import sys
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input = sys.stdin.readline
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"""
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A1 + A2 = S1
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A2 + A3 = S2
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...
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AN + A1 = SN
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S1 - S2 = A1 - A3
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S3 - S4 = A3 - A5
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..
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S(N-2) - S(N-1) = A(N-2) - AN
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S1 - S(N-1) = A1 - AN;
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S1 = A1 + A2
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S2 = A2 + A3
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S3 = A3 + A1
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S1 - S(N=3 - 1) + S(N=3) = 2 * A1
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S2 - S3 + S1 = 2 * A2
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S3 - S1 + S2 = 2 * A3
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S1 - S2 + S3
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S2 - S3 + S1
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S3 - S1
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S1 - S2 + S3 - S4 ... + SN
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S2 - S3 ...
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S3 - S4 +
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구하고자 하는 수 r에 대해서
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2Ar = Sr - S(r+1) ... (원환 순환) / + S(r-1)
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"""
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if __name__ == "__main__":
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N = int(input())
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S = list(int(input()) for _ in range(N))
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transformer = lambda x: x % N
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n = (N - 1) // 2 # N = 2n + 1
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for i in range(N):
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print(
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(
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sum(
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S[transformer(i + 2 * j)] - S[transformer(i + 2 * j + 1)]
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for j in range(n)
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)
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+ S[transformer(i - 1)]
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)
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// 2
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)
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