Submission #1037841

#TimeUsernameProblemLanguageResultExecution timeMemory
1037841javotazParty (INOI20_party)C++17
0 / 100
1 ms464 KiB
// In the Name of Allah #include<bits/stdc++.h> using namespace std; #pragma GCC optimize("Ofast,unroll-loops,fast-math") //#pragma GCC target("sse,sse2,sse3,ssse3,sse4.1,avx,avx2,sse4.2,popcnt,tune=native") typedef long long ll; #define F first #define S second #define pii pair<int, int> #define pb push_back #define pp pop_back #define all(x) x.begin(), x.end() const int N = 61; const int mod = 1'000'000'000 + 7; ll n, dp[N]; int bp(int x, ll y) { if (y < 2) return y? x : 1; ll tmp = bp(x, y / 2); tmp = tmp * tmp % mod; return (y & 1)? tmp * x % mod : tmp; } void solve() { cin >> n; ll ans = 0; int k = __lg(n) + 1; if (n != (1ll << k) - 1) return; ll mk = bp(bp(2, n) - 1, mod - 2); for (int i = 0; i < k; i++) { vector<ll> v; v.pb(1); for (int j = 1; j < 2 * k; ++j) { ll cnt = (i + j < k)? (1ll << j) : 0; for (int z = i - 1; z >= 0; z--) if (j == (i - z)) cnt++; else if (j > (i - z) && z + j - (i - z) < k) cnt += (1ll << (j - (i - z) - 1)); if (!cnt) break; v.pb(cnt); } ll c = 0; for (auto i: v) { c += i; dp[i] = (dp[i] + (bp(2, i) - 1) * bp(2, n - i) % mod * mk) % mod; } ans = (ans + dp[i] * ((1ll << i) % mod)) % mod; } cout << ans << '\n'; } int main() { ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0); int t; cin >> t; while (t--) solve(); return 0; }
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