#include #include using namespace std; using ll = long long; using vi = vector; void ins() {} templatevoid ins(T& v,Rest&... rest){cin>>v;ins(rest...);} #define rep(i,n) for(int i=0,_i=(n);i<_i;++i) // ========== debug ========== templateostream& operator<<(ostream& os,const vector& vec){os<<"{";for(size_t i=0;i&v){for(size_t i=0;iostream& operator<<(ostream& os,const pair& rhs){os<<"("< void debug(const First& first) {cerr< void debug(const First& first, const Rest&... rest) {cerr< void debug2(const First& first) {cerr< void debug2(const First& first, const Rest&... rest) {cerr<> A[i]; } rep(i, N) { cin >> B[i]; } int max_diff = -1e9; bool is_same = true; vi diff(N); rep(i, N) { max_diff = max(max_diff, A[i] - B[i]); diff[i] = A[i] - B[i]; if (diff[i] != 0) is_same = false; } if (max_diff < 0) { cout << -1 << endl; return 0; } if (is_same) { cout << 0 << endl; return 0; } ll sum_diff = 0; debug(diff); rep(i, N) { diff[i] -= max_diff; if (diff[i] % 2 != 0) { cout << -1 << endl; return 0; } sum_diff += abs(diff[i]) / 2; } if (sum_diff == max_diff) cout << max_diff << endl; else if (sum_diff > max_diff) cout << -1 << endl; else { debug(max_diff, sum_diff, max_diff - sum_diff); // (max_diff - sum_diff) * 2 を全体に分配しなければならない // で、それをゼロにできればok // 直感的には、ある1つを除いて他に分配、その1つに足す操作をしていけば良さそう if ((max_diff - sum_diff) % ((N/2)-1) != 0) { cout << -1 << endl; return 0; } cout << max_diff + (max_diff - sum_diff)/ ((N/2)-1) << endl; } return 0; } // 全員-1して、ある生徒だけ+2と捉え直す。 // 全員0以下になるまで操作を行う。そこから+2していく