Submission #1001076
Source Code Expand
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef pair<int, int> PII; #define fi first #define se second #define mp make_pair #define pb push_back #define P 1000000007 #define N 310 int n; int C[N][N]; int P2[N]; void gcd(int a,int b,int &x,int &y) { if(b==0){x=1,y=0;return;} gcd(b,a%b,y,x),y-=a/b*x; } int inv(int n) { int x,y;gcd(n,P,x,y); if(x<0)x+=P;return x; } ll f[N][N]; ll ff(int m, int r) { if (r < 0) return 0; if (r > m) return 0; if (m == 0) return 1; if (f[m][r] != -1) return f[m][r]; ll S = 0; // Case 1: last is in ll T1 = 0; T1 = ff(m-1, r); T1 = (ll)T1 * P2[r]%P; // Case 2: last is not in ll T2 = 0; T2 = ff(m-1,r-1); ll C = P2[n] - P2[r-1]; if (C < 0) C += P; T2 = (ll)T2 * C %P; //cout << m << " " << r << " " << T1 << " " << T2 << endl; S = (T1 + T2)%P; f[m][r] = S; return S; } ll gg(int n, int m) { if (m > n) return 0; ll S = 1; for (int i = 0; i < m; i ++) { ll T = P2[n] - P2[i]; if (T < 0) T += P; S = (ll)S*T%P; } for (int i = 0; i < m; i ++) { ll T = P2[m] - P2[i]; if (T < 0) T += P; S = (ll)S*inv(T)%P; } return S; } int main () { P2[0] = 1; for (int i = 1; i < N; i ++) P2[i] = P2[i-1]*2%P; cin >> n; for (int i = 0; i < n; i ++) for (int j = 0; j < n; j ++) cin >> C[i][j]; int nw = 0; for (int i = 0; i < n; i ++) { for (int j = i; j < n; j ++) { if (C[j][i]) { for (int k = 0; k < n; k ++) swap(C[nw][k], C[j][k]); break; } } if (!C[nw][i]) continue; for (int j = nw+1; j < n; j ++) if (C[j][i]) { for (int k = 0; k < n; k ++) C[j][k] ^= C[nw][k]; } nw++; } //cout << nw << endl; for (int i = 0; i <= n; i ++) for (int j = 0; j <= n; j ++) f[i][j] = -1; ll S = 0; for (int rk = 0; rk <= n; rk ++) { ll T = ff(n, rk); // #mat with rk r ll T1 = gg(n, nw); // #nw subsp in n ll T2 = gg(rk, nw); // #nw subsp in rk ll TP = (ll) T2 * inv(T1)%P; // prob contain subsp T = (ll)T*TP%P; for (int i = 0; i < n; i ++) { // fixed T = (ll)T*P2[n-rk]%P; } /* for (int i = nw; i < n; i ++) { // any T = (ll)T*P2[n]%P; } */ (S += T) %= P; } cout << S << endl; return 0; }
Submission Info
Submission Time | |
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Task | H - AB=C Problem |
User | sevenkplus |
Language | C++14 (GCC 5.4.1) |
Score | 1500 |
Code Size | 2291 Byte |
Status | AC |
Exec Time | 46 ms |
Memory | 1408 KB |
Judge Result
Set Name | Sample | All | ||||
---|---|---|---|---|---|---|
Score / Max Score | 0 / 0 | 1500 / 1500 | ||||
Status |
|
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Set Name | Test Cases |
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Sample | example0.txt, example1.txt |
All | 000.txt, 001.txt, 002.txt, 003.txt, 004.txt, 005.txt, 006.txt, 007.txt, 008.txt, 009.txt, 010.txt, 011.txt, 012.txt, 013.txt, 014.txt, 015.txt, 016.txt, 017.txt, 018.txt, 019.txt, 020.txt, 021.txt, 022.txt, 023.txt, 024.txt, 025.txt, 026.txt, 027.txt, 028.txt, 029.txt, 030.txt, 031.txt, 032.txt, 033.txt, 034.txt, 035.txt, 036.txt, 037.txt, 038.txt, 039.txt, example0.txt, example1.txt |
Case Name | Status | Exec Time | Memory |
---|---|---|---|
000.txt | AC | 2 ms | 256 KB |
001.txt | AC | 2 ms | 256 KB |
002.txt | AC | 2 ms | 256 KB |
003.txt | AC | 2 ms | 256 KB |
004.txt | AC | 2 ms | 256 KB |
005.txt | AC | 2 ms | 256 KB |
006.txt | AC | 2 ms | 256 KB |
007.txt | AC | 2 ms | 256 KB |
008.txt | AC | 2 ms | 256 KB |
009.txt | AC | 2 ms | 256 KB |
010.txt | AC | 2 ms | 256 KB |
011.txt | AC | 2 ms | 256 KB |
012.txt | AC | 2 ms | 256 KB |
013.txt | AC | 2 ms | 256 KB |
014.txt | AC | 9 ms | 640 KB |
015.txt | AC | 8 ms | 640 KB |
016.txt | AC | 5 ms | 512 KB |
017.txt | AC | 13 ms | 1024 KB |
018.txt | AC | 4 ms | 512 KB |
019.txt | AC | 2 ms | 256 KB |
020.txt | AC | 12 ms | 768 KB |
021.txt | AC | 41 ms | 1280 KB |
022.txt | AC | 4 ms | 512 KB |
023.txt | AC | 27 ms | 1280 KB |
024.txt | AC | 46 ms | 1408 KB |
025.txt | AC | 41 ms | 1408 KB |
026.txt | AC | 43 ms | 1408 KB |
027.txt | AC | 37 ms | 1408 KB |
028.txt | AC | 25 ms | 1408 KB |
029.txt | AC | 42 ms | 1408 KB |
030.txt | AC | 43 ms | 1408 KB |
031.txt | AC | 39 ms | 1408 KB |
032.txt | AC | 24 ms | 1408 KB |
033.txt | AC | 45 ms | 1408 KB |
034.txt | AC | 24 ms | 1408 KB |
035.txt | AC | 15 ms | 1152 KB |
036.txt | AC | 46 ms | 1408 KB |
037.txt | AC | 39 ms | 1280 KB |
038.txt | AC | 24 ms | 1408 KB |
039.txt | AC | 45 ms | 1280 KB |
example0.txt | AC | 2 ms | 256 KB |
example1.txt | AC | 2 ms | 256 KB |