/* -*- coding: utf-8 -*- * * 1120.cc: No.1120 Strange Teacher - 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 = 100000; /* typedef */ typedef long long ll; /* global variables */ int as[MAX_N], bs[MAX_N]; /* subroutines */ /* main */ int main() { int n; scanf("%d", &n); ll asum = 0, bsum = 0; for (int i = 0; i < n; i++) scanf("%d", as + i), asum += as[i]; for (int i = 0; i < n; i++) scanf("%d", bs + i), bsum += bs[i]; int d = n - 2; ll f = asum - bsum; if (d == 0) printf("%lld\n", (f == 0) ? abs(as[0] - bs[0]) : -1); else { if (f < 0 || f % d != 0) { puts("-1"); return 0; } ll r = f / d; //printf("d=%d, f=%lld, r=%lld\n", d, f, r); ll xsum = 0, ysum = 0; for (int i = 0; i < n; i++) { // x + y = r, x - y = bi - ai; int c = bs[i] - as[i]; if (r + c < 0 || r - c < 0 || ((r + c) % 1)) { puts("-1"); return 0; } xsum += (r + c) / 2, ysum += (r - c) / 2; } //printf("xsum=%lld, ysum=%lld\n", xsum, ysum); if (xsum != r || ysum != r * (n - 1)) { puts("-1"); return 0; } printf("%lld\n", r); } return 0; }