#include #include #include #include #include #include #include // #include // namespace mp = boost::multiprecision; using namespace std; #define int long long #define endl "\n" constexpr long long INF = (long long)1e18; constexpr long long MOD = 1'000'000'007; struct fast_io { fast_io(){ std::cin.tie(nullptr); std::ios::sync_with_stdio(false); }; } fio; signed main(){ cout<