Submission #1003399

#TimeUsernameProblemLanguageResultExecution timeMemory
1003399vjudge1Party (INOI20_party)C++17
23 / 100
2830 ms8544 KiB
#include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> #define ll long long #define endl "\n" using namespace std; using namespace __gnu_pbds; mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); template<class T> using ordered_set = tree<T, null_type, less_equal<T>, rb_tree_tag, tree_order_statistics_node_update>; const ll mod = 1e9 + 7, N = 1e6 + 5; ll pw[N]; void precomp() { pw[0] = 1; for (ll i = 1; i < N; i++) pw[i] = pw[i - 1] * 2 % mod; } ll binpow(ll n, ll p) { ll ans = 1; while (p) { ans = (p & 1 ? (ans * n) % mod : ans); n = (n * n) % mod; p >>= 1; } return ans; } ll pww(ll p) { if (p < N) return pw[p]; if (p & 1) { p = pww(p >> 1); return p * p * 2 % mod; } p = pww(p >> 1); return p * p % mod; } ll inv(ll x) { return binpow(x, mod - 2); } void solve() { ll n; cin >> n; ll ans = 0, lg = __lg(n); ll freq[120]; for (ll i = 0; i <= lg; i++) { ll res = 0; for (ll j = 0; j < 120; j++) freq[j] = 0; for (ll j = 1; j <= i; j++){ freq[j]++; for (ll x = 1; i - j + x <= lg; x++) freq[j + x] += (1ll << (x - 1)); } for (ll x = 1; x + i <= lg; x++) freq[x] += (1ll << x); ll cur = 0; for (ll j = 119; j >= 0; j--) res = (res + pww(cur) * (pww(freq[j]) - 1) % mod * j % mod) % mod, cur += freq[j]; ans = (ans + binpow(2, i) * res % mod) % mod; } ans = ans * inv(binpow(2, n) - 1 + mod) % mod; cout << ans << endl; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); ll t = 1; precomp(); cin >> t; for (ll cs = 1; cs <= t; cs++) solve(); // cerr << "\nTime elapsed: " << clock() * 1000.0 / CLOCKS_PER_SEC << " ms\n"; }
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