Submission #1003417

#TimeUsernameProblemLanguageResultExecution timeMemory
1003417vjudge1Party (INOI20_party)C++17
23 / 100
39 ms856 KiB
#include <bits/stdc++.h> using namespace std; #define int long long #define pii pair<int, int> #define all(v) v.begin(), v.end() #define oo 1e9 const int MAX = 2e18 + 8, MOD = 1e9 + 7, LOGMAX = 200; int n; int Hcnt[LOGMAX][LOGMAX]; int RHcnt[LOGMAX][LOGMAX]; int binpow(int a, int b){ int res = 1; while(b){ if(b & 1) res = res * a % MOD; b /= 2; a = a * a % MOD; } return res; } int inv(int a){ return binpow(a, MOD - 2); } int ans[LOGMAX]; void solve(){ int n; cin >> n; int LG = 0, T = 1; while(T <= n / 2) {LG++; T *= 2;} cout << ans[LG + 1] << '\n'; } signed main(){ // ios::sync_with_stdio(0); // cin.tie(0); // cout.tie(0); for(int z = 1; z < 63; z++){ n = (1ll << z) - 1; int res = 0; int LG = z - 1; for(int i = 0; (1ll << i) <= n; i++){ for(int j = 0; j <= LG + i; j++){ Hcnt[i][j] = 0; RHcnt[i][j] = 0; } for(int j = 0; j <= LG - i; j++){ Hcnt[i][j] = (1ll << j); RHcnt[i][j] = (1ll << max(0ll, j - 1)); } if(i != 0){ for(int j = 0; j <= LG + i - 1; j++){ RHcnt[i][j + 1] += RHcnt[i - 1][j]; Hcnt[i][j + 1] += RHcnt[i - 1][j]; } } int oth = n; for(int j = 0; j <= LG + i; j++){ oth -= Hcnt[i][j]; res = (res + j * (binpow(2, Hcnt[i][j]) - 1 + MOD) % MOD * binpow(2, oth + i) % MOD) % MOD; } } ans[z] = res * inv((binpow(2, n) - 1 + MOD) % MOD) % MOD; } int t; cin >> t; while(t--){ solve(); } }
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