/* -*- coding: utf-8 -*- * * 1618.cc: No.1618 Convolution? - yukicoder */ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; /* constant */ const int MAX_N = 200000; /* typedef */ typedef long long ll; /* global variables */ int as[MAX_N + 1], bs[MAX_N + 1]; ll cs[MAX_N * 2 + 2]; /* subroutines */ /* main */ int main() { int n; scanf("%d", &n); for (int i = 1; i <= n; i++) scanf("%d", as + i); for (int i = 1; i <= n; i++) scanf("%d", bs + i); // c1 = 0 // c2 = 1*a1+1*b1 // c3 = (1*a2+2*b1)+(2*a1+1*b2) = 1*(a2+b2)+2*(a1+b1) // c4 = (1*a3+3*b1)+(2*a2+2*b2)+(3*a1+1*b3) = 1*(a3+b3)+2*(a2+b2)+3*(a1+b1) // ck = sum_{i+j=k} i*(aj+bj) int n2 = n * 2; ll d = 0, sum = 0; for (int i = 1; i < n2; i++) { if (i <= n) d += as[i] + bs[i]; else { int abi = as[i - n] + bs[i - n]; d -= abi, sum -= (ll)n * abi; } sum += d; cs[i + 1] = sum; } for (int i = 1; i <= n2; i++) printf("%lld%c", cs[i], (i < n2) ? ' ' : '\n'); return 0; }