Submission #1003288

#TimeUsernameProblemLanguageResultExecution timeMemory
1003288vjudge1Party (INOI20_party)C++17
0 / 100
614 ms1048576 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 = 1e18 + 8, MOD = 1e9 + 7, LOGMAX = 130; int n; int Hcnt[LOGMAX][LOGMAX]; int RHcnt[LOGMAX][LOGMAX]; int binpow(int a, int b){ if(b == 0) return 1; if(b & 1) return binpow(a, b - 1) % MOD * a % MOD; else return binpow(a * a % MOD, b / 2) % MOD; } int inv(int a){ return binpow(a, MOD - 2); } void solve(){ cin >> n; int ans = 0; int LG = log2(n); 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]; } } // for(int j = 0; j <= LG + i; j++) cout << Hcnt[i][j] << ' '; // cout << '\n'; int oth = n; for(int j = 0; j <= LG + i; j++){ oth -= Hcnt[i][j]; ans = (ans + binpow(2, i) * j % MOD * (binpow(2, Hcnt[i][j]) - 1 + MOD) % MOD * binpow(2, oth) % MOD) % MOD; } } cout << ans * inv((binpow(2, n) - 1 + MOD) % MOD) % MOD << '\n'; } signed main(){ ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); int t; cin >> t; while(t--){ solve(); } }
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