oj.uz

Submission #469497

# Submission time Handle Problem Language Result Execution time Memory
469497 2021-09-01T08:04:57 Z radal Party (INOI20_party) C++14
7 / 100
 667 ms 1100 KB 
#include <bits/stdc++.h>
#pragma GCC target ("avx,avx2,fma")
#pragma GCC optimize ("O2")
#pragma GCC optimize ("unroll-loops")
#define X first
#define Y second
#define debug(x) cerr << #x << ": " << x << endl;
#define endl '\n'
#define pb push_back
#define rep(i,l,r) for (int i=l; i<r; i++)
#define repr(i,r,l) for (int i=r; i>=l; i--)
using namespace std;
typedef long long ll;
typedef pair<int,int> pll;
const long long int N = 1e3+20,mod = 1e9+7,inf=1e9+1;
ll poww(int n,int k){
    if (!k) return 1;
    if (k == 1) return n;
    ll r = poww(n,k/2);
    return (r*r%mod)*poww(n,(k&1))%mod;
}
ll cnt[N][20],n,cn[N][20],pw[N];
map<pair<ll,int>,int> cnt1,cn1;
void dfs(int v){
    cnt[v][0] = 1;
    if (2*v <= n){
        dfs(2*v);
        rep(i,1,20) cnt[v][i] = cnt[2*v][i-1];
    }
    if (2*v+1 <= n){
        dfs(2*v+1);
        rep(i,1,20) cnt[v][i] += cnt[2*v+1][i-1];
    }
}
void dfs2(int v){
    if (2*v <= n){
        cn[2*v][1] = 1;
        rep(i,2,20) cn[2*v][i] = cn[v][i-1]+cnt[v][i-1]-cnt[2*v][i-2];
        dfs2(2*v);
    }
    if (2*v+1 <= n){
        cn[2*v+1][1] = 1;
        rep(i,2,20) cn[2*v+1][i] = cn[v][i-1]+cnt[v][i-1]-cnt[2*v+1][i-2];
        dfs2(2*v+1);
    }
}
inline int mkay(int a,int b){
    if (a+b < mod) return a+b;
    return a+b-mod;
}
int main(){
    ios :: sync_with_stdio(0); cin.tie(0); cout.tie(0);
    int q;
    cin >> q;
    pw[0] = 1;
    rep(i,1,201)
        pw[i] = 2*pw[i-1]%mod;
    while (q--){
        memset(cnt,0,sizeof cnt);
        memset(cn,0,sizeof cn);
        cin >> n;
        if (__builtin_popcount(n+1) == 1){
            cnt1.clear();
            cn1.clear();
            ll z = 0;
            for (ll i = (n+1)/2; i >= 1; i/=2){
                z++;
                cnt1[{i,0}] = 1;
                rep(j,1,z){
                    if (z > 1)
                        cnt1[{i,j}] = cnt1[{2*i,j-1}]*2%mod;
                }
            }
            for (ll i = 2; i < n; i <<= 1){
                cn1[{i,1}] = 1;
                rep(j,2,121)
                    cn1[{i,j}] = mkay(cn1[{i/2,j-1}],cnt1[{i,j-2}]);
            }
            ll ans = 0,y = poww(2,n%mod)-1;
            y = poww(y,mod-2);
            z = 1;
            for (ll i = 1; i < n; i *= 2){
                ll sm = 1;
                rep(j,1,121){
                    int x = cnt1[{i,j}];
                    int y = cn1[{i,j}];
                    sm += x+y;
                    ans = mkay(ans,j*(poww(2,mkay(y,x))-1)%mod*poww(2,(n-sm)%mod)%mod*z%mod);
                }
                z *= 2;
            }
            cout << ans*y%mod << endl;
            continue;
        }
        memset(cn,0,sizeof cn);
        memset(cnt,0,sizeof cnt);
        dfs(1);
        dfs2(1);
        ll ans = 0,y = (pw[n]-1);
        y = poww(y,mod-2);
        rep(i,1,n+1){
            int sm = 0;
            rep(j,0,20){
                sm += cnt[i][j]+cn[i][j];
                ans = mkay(ans,(1ll*j*(pw[cnt[i][j]+cn[i][j]]-1)%mod)*pw[n-sm]%mod);
            }
        }
        //cout << ans << endl;
        cout << 1ll*ans*y%mod << endl;
    }
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 712 KB Output is correct
2 Correct 8 ms 716 KB Output is correct
3 Correct 8 ms 716 KB Output is correct
4 Correct 9 ms 724 KB Output is correct
5 Correct 6 ms 588 KB Output is correct
6 Correct 6 ms 640 KB Output is correct
7 Correct 6 ms 632 KB Output is correct
8 Correct 6 ms 588 KB Output is correct
9 Correct 36 ms 736 KB Output is correct
10 Correct 38 ms 716 KB Output is correct
11 Correct 667 ms 744 KB Output is correct
12 Correct 665 ms 740 KB Output is correct
13 Correct 88 ms 752 KB Output is correct
14 Correct 92 ms 636 KB Output is correct
15 Correct 89 ms 636 KB Output is correct
16 Correct 87 ms 640 KB Output is correct
17 Correct 80 ms 640 KB Output is correct
18 Correct 77 ms 640 KB Output is correct
19 Correct 77 ms 644 KB Output is correct
20 Correct 86 ms 636 KB Output is correct

Subtask #2
0 / 23.0

# Verdict Execution time Memory Grader output
1 Runtime error 1 ms 1100 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -

Subtask #3
0 / 33.0

# Verdict Execution time Memory Grader output
1 Runtime error 1 ms 1100 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -

Subtask #4
0 / 37.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 712 KB Output is correct
2 Correct 8 ms 716 KB Output is correct
3 Correct 8 ms 716 KB Output is correct
4 Correct 9 ms 724 KB Output is correct
5 Correct 6 ms 588 KB Output is correct
6 Correct 6 ms 640 KB Output is correct
7 Correct 6 ms 632 KB Output is correct
8 Correct 6 ms 588 KB Output is correct
9 Correct 36 ms 736 KB Output is correct
10 Correct 38 ms 716 KB Output is correct
11 Correct 667 ms 744 KB Output is correct
12 Correct 665 ms 740 KB Output is correct
13 Correct 88 ms 752 KB Output is correct
14 Correct 92 ms 636 KB Output is correct
15 Correct 89 ms 636 KB Output is correct
16 Correct 87 ms 640 KB Output is correct
17 Correct 80 ms 640 KB Output is correct
18 Correct 77 ms 640 KB Output is correct
19 Correct 77 ms 644 KB Output is correct
20 Correct 86 ms 636 KB Output is correct
21 Runtime error 1 ms 1100 KB Execution killed with signal 11
22 Halted 0 ms 0 KB -