QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#69604 | #992. Number of Colorful Matchings | chenshi | AC ✓ | 75ms | 4880kb | C++ | 2.1kb | 2022-12-28 22:18:45 | 2022-12-28 22:18:49 |
Judging History
answer
#include<cstdio>
#include<iostream>
using namespace std;
const int o=310,MOD=2;
inline int qp(int b,int f){int res=1;for(;f;f>>=1,b=b*1ll*b%MOD) if(f&1) res=res*1ll*b%MOD;return res;}
int n,a[o][o],b[o][o],f[o][o],delt,coef=1;char s[o];
int main(){
scanf("%d",&n);
for(int i=1;i<=n;++i){scanf("%s",s+1);for(int j=1;j<=n;++j) b[i][j]=s[j]-48;}
for(int i=1;i<=n;++i){scanf("%s",s+1);for(int j=1;j<=n;++j) a[i][j]=s[j]-48;}
for(int i=1,j;i<=n;++i){
for(j=i;j<=n;++j) if(b[j][i]) break;
if(j<=n&&j>i){coef=MOD-coef;for(int k=1;k<=n;++k) swap(a[i][k],a[j][k]),swap(b[i][k],b[j][k]);}
for(j=i;j<=n;++j) if(b[i][j]) break;
if(j<=n&&j>i){coef=MOD-coef;for(int k=1;k<=n;++k) swap(a[k][i],a[k][j]),swap(b[k][i],b[k][j]);}
for(;delt<=n&&!b[i][i];++delt){
for(j=1;j<=n;++j) b[i][j]=a[i][j],a[i][j]=0;
for(j=1;j<i;++j) for(int k=1,v=b[i][j]*1ll*qp(b[j][j],MOD-2)%MOD;k<=n;++k)
a[i][k]=(a[i][k]+(MOD-v)*1ll*a[j][k])%MOD,b[i][k]=(b[i][k]+(MOD-v)*1ll*b[j][k])%MOD;
for(j=i;j<=n;++j) if(b[i][j]) break;
if(j<=n&&j>i){coef=MOD-coef;for(int k=1;k<=n;++k) swap(a[k][i],a[k][j]),swap(b[k][i],b[k][j]);}
}
for(j=1;j<=n;++j) if(j^i) for(int k=1,v=b[j][i]*1ll*qp(b[i][i],MOD-2)%MOD;k<=n;++k)
a[j][k]=(a[j][k]+(MOD-v)*1ll*a[i][k])%MOD,b[j][k]=(b[j][k]+(MOD-v)*1ll*b[i][k])%MOD;
}
for(int i=1;i<=n;++i){
coef=coef*1ll*b[i][i]%MOD;
for(int j=1,v=qp(b[i][i],MOD-2);j<=n;++j) a[i][j]=a[i][j]*1ll*v%MOD;
}
for(int i=1,j,v;i<n;++i){
for(j=i+1;j<=n;++j) if(a[j][i]) break;
if(j>i+1&&j<=n){
for(int k=1;k<=n;++k) swap(a[i+1][k],a[j][k]);
for(int k=1;k<=n;++k) swap(a[k][i+1],a[k][j]);
}
for(j=i+2;j<=n;++j){
v=a[j][i]*1ll*qp(a[i+1][i],MOD-2)%MOD;
for(int k=1;k<=n;++k) a[j][k]=(a[j][k]+(MOD-v)*1ll*a[i+1][k])%MOD;
for(int k=1;k<=n;++k) a[k][i+1]=(a[k][i+1]+v*1ll*a[k][j])%MOD;
}
}
f[0][0]=coef;
for(int i=1;i<=n;++i){
for(int j=1;j<=n;++j) f[i][j]=f[i-1][j-1];
for(int j=i,v=1;j;v=MOD-a[j][j-1]*1ll*v%MOD,--j) for(int k=0;k<=n;++k) f[i][k]=(f[i][k]+a[j][i]*1ll*v%MOD*f[j-1][k])%MOD;
}
for(int i=0;i<=n;++i) printf("%d\n",((i+delt)>n)?0:f[n][i+delt]);
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 2ms
memory: 3724kb
input:
2 11 10 00 11
output:
0 0 1
result:
ok 3 tokens
Test #2:
score: 0
Accepted
time: 2ms
memory: 3724kb
input:
10 0100110000 0000010111 0111000111 1000101100 1101000001 1111110000 1001001110 0000000011 0001000010 0100100110 1100010101 0001000001 0001001010 0011100111 0010101111 1001011011 1001100111 0111101001 0010100010 0001111011
output:
0 0 0 1 1 1 1 1 0 0 1
result:
ok 11 tokens
Test #3:
score: 0
Accepted
time: 2ms
memory: 3820kb
input:
18 001100000000010111 011100011110001011 001101000001111111 000010010011100000 000011000100001001 001001101100010101 000100000100010010 100011100111001010 111110010110111001 100111011110100100 101000100001111011 110000100101011111 101011001000000111 110001011110010101 110010011111001110 001001011100...
output:
0 0 0 1 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0
result:
ok 19 tokens
Test #4:
score: 0
Accepted
time: 2ms
memory: 3636kb
input:
18 110000000001011101 110001111000101100 110100000111111100 001001001110000000 001100010000100100 100110110001010100 010000010001001010 001110011100101011 111001011011100110 011101111010010010 100010000111101111 000010010101111110 101100100000011111 000101111001010111 001001111100111000 100101110010...
output:
0 0 0 0 1 0 1 1 1 0 1 1 0 0 1 0 1 1 0
result:
ok 19 tokens
Test #5:
score: 0
Accepted
time: 68ms
memory: 4640kb
input:
300 00000000010111011100011110001011001101000001111111000010010011100000000011000100001001001001101100010101000100000100010010100011100111001010111110010110111001100111011110100100101000100001111011110000100101011111101011001000000111110001011110010101110010011111001110001001011100100010010000000000...
output:
0 0 0 0 0 1 1 1 0 1 1 1 0 0 0 1 1 0 1 0 0 1 1 0 0 0 0 1 0 0 0 1 1 0 1 0 1 0 1 0 1 1 1 0 0 1 0 0 1 1 1 1 0 0 0 1 1 0 1 1 1 0 0 1 1 1 1 0 1 1 0 0 1 0 1 1 0 0 1 1 1 1 1 0 0 1 0 0 1 1 0 1 0 1 0 0 1 0 0 1 1 1 1 1 0 1 1 0 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 0 0 1 1 0 0 0 0 1 0 0 1 1 0 1 1 1 0 1 1 0 0 1 0 1 1 ...
result:
ok 301 tokens
Test #6:
score: 0
Accepted
time: 69ms
memory: 4636kb
input:
300 00000001011101110001111000101100110100000111111100001001001110000000001100010000100100100110110001010100010000010001001010001110011100101011111001011011100110011101111010010010100010000111101111000010010101111110101100100000011111000101111001010111001001111100111000100101110010001001000000000001...
output:
0 0 0 1 0 1 1 0 0 0 0 1 1 1 0 0 1 0 0 0 0 1 0 1 1 1 1 1 0 0 1 1 0 1 1 1 1 0 1 0 1 1 1 1 1 1 0 0 1 1 0 1 0 1 0 0 1 0 0 1 0 0 0 1 0 1 1 0 1 1 0 1 1 1 0 0 0 1 0 1 0 1 1 0 1 1 0 1 1 1 1 1 1 0 1 0 0 1 0 0 1 0 1 0 0 0 0 1 1 0 1 1 0 0 0 1 1 1 0 1 1 0 1 0 1 0 0 1 1 1 0 0 1 0 1 0 0 1 0 1 1 1 1 0 1 1 0 1 0 1 ...
result:
ok 301 tokens
Test #7:
score: 0
Accepted
time: 64ms
memory: 4720kb
input:
300 00000101110111000111100010110011010000011111110000100100111000000000110001000010010010011011000101010001000001000100101000111001110010101111100101101110011001110111101001001010001000011110111100001001010111111010110010000001111100010111100101011100100111110011100010010111001000100100000000000111...
output:
0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 0 1 0 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 0 0 0 1 1 0 0 0 0 1 0 1 1 1 1 1 1 1 0 1 0 0 1 0 0 1 1 0 1 1 1 0 1 0 1 0 1 0 1 0 1 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0 1 0 1 1 0 1 0 1 0 1 0 0 0 0 1 0 1 1 1 0 0 0 0 1 1 0 1 1 1 0 1 1 0 0 1 1 1 0 0 0 1 0 0 1 0 1 1 1 ...
result:
ok 301 tokens
Test #8:
score: 0
Accepted
time: 23ms
memory: 4388kb
input:
200 00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...
output:
0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
result:
ok 201 tokens
Test #9:
score: 0
Accepted
time: 31ms
memory: 4452kb
input:
230 00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000000000000000000...
output:
0 0 1 0 0 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
result:
ok 231 tokens
Test #10:
score: 0
Accepted
time: 64ms
memory: 4668kb
input:
270 000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000...
output:
0 0 0 1 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
result:
ok 271 tokens
Test #11:
score: 0
Accepted
time: 75ms
memory: 4664kb
input:
300 00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...
output:
0 1 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
result:
ok 301 tokens
Test #12:
score: 0
Accepted
time: 1ms
memory: 3808kb
input:
50 11000111100010110011010000011111110000100100111000 00000011000100001001001001101100010101000100000100 01001010001110011100101011111001011011100110011101 11101001001010001000011110111100001001010111111010 11001000000111110001011110010101110010011111001110 001001011100100010010000000000011101110101...
output:
0 1 1 1 0 0 0 0 0 0 1 0 0 1 1 1 0 1 0 0 0 1 0 0 0 1 1 1 0 0 1 1 0 0 1 0 1 0 0 1 0 1 0 1 1 1 1 0 0 1 1
result:
ok 51 tokens
Test #13:
score: 0
Accepted
time: 3ms
memory: 3976kb
input:
80 00011110001011001101000001111111000010010011100000000011000100001001001001101100 01010100010000010001001010001110011100101011111001011011100110011101111010010010 10001000011110111100001001010111111010110010000001111100010111100101011100100111 110011100010010111001000100100000000000111011101011011...
output:
0 1 0 0 1 0 1 0 1 0 0 1 1 0 0 0 0 1 1 0 0 0 1 1 1 0 1 1 1 0 0 0 1 1 1 0 0 0 0 1 1 0 0 1 0 1 0 1 0 0 1 0 1 1 1 1 1 1 0 1 1 0 1 1 1 1 1 0 0 0 0 0 1 0 0 1 0 1 1 0 0
result:
ok 81 tokens
Test #14:
score: 0
Accepted
time: 3ms
memory: 4048kb
input:
120 011110001011001101000001111111000010010011100000000011000100001001001001101100010101000100000100010010100011100111001010 111110010110111001100111011110100100101000100001111011110000100101011111101011001000000111110001011110010101110010011111 001110001001011100100010010000000000011101110101101110...
output:
0 1 0 0 1 0 1 0 0 1 1 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 1 0 0 0 0 1 1 0 1 1 0 0 1 1 1 0 1 1 1 0 0 0 1 0 1 0 1 1 1 1 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 0 1 1 1 0 1 0 1 0 1 0 0 0 1 0 1 0 0 1 0 0 0 0
result:
ok 121 tokens
Test #15:
score: 0
Accepted
time: 15ms
memory: 4320kb
input:
180 111000101100110100000111111100001001001110000000001100010000100100100110110001010100010000010001001010001110011100101011111001011011100110011101111010010010100010000111101111000010 0101011111101011001000000111110001011110010101110010011111001110001001011100100010010000000000011101110101101110100...
output:
0 1 0 0 1 1 1 1 0 1 1 0 1 0 0 0 1 1 0 0 0 0 0 1 1 1 0 0 1 1 0 0 0 1 1 1 1 0 1 1 1 0 0 1 1 0 1 1 1 0 0 0 1 0 0 1 0 1 0 1 1 1 0 0 0 1 0 1 1 1 1 0 0 0 0 0 1 1 1 0 0 1 1 1 1 1 0 0 0 0 0 0 1 1 0 1 0 1 1 0 0 1 1 1 1 0 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 1 1 0 1 1 1 1 0 0 1 0 1 1 1 0 1 1 0 1 1 1 1 1 0 0 0 1 1 ...
result:
ok 181 tokens
Test #16:
score: 0
Accepted
time: 26ms
memory: 4348kb
input:
220 1000101100110100000111111100001001001110000000001100010000100100100110110001010100010000010001001010001110011100101011111001011011100110011101111010010010100010000111101111000010010101111110101100100000011111000101111001 010111001001111100111000100101110010001001000000000001110111010110111010011...
output:
1 0 0 0 0 0 1 1 0 1 0 0 0 1 1 1 1 1 1 0 1 1 0 0 1 1 1 0 0 0 0 0 0 1 1 1 0 1 0 1 0 1 1 0 0 1 0 1 0 1 1 0 0 1 1 0 1 1 1 0 1 1 0 1 1 1 1 0 0 0 1 0 1 1 1 1 0 0 0 1 0 1 1 0 1 1 1 1 1 0 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 1 1 1 1 0 0 1 1 0 0 0 0 0 1 1 1 0 0 0 1 1 0 1 1 1 1 1 1 1 0 1 0 1 0 0 1 1 0 1 0 ...
result:
ok 221 tokens
Test #17:
score: 0
Accepted
time: 38ms
memory: 4580kb
input:
250 0010110011010000011111110000100100111000000000110001000010010010011011000101010001000001000100101000111001110010101111100101101110011001110111101001001010001000011110111100001001010111111010110010000001111100010111100101011100100111110011100010010111 001000100100000000000111011101011011101001111...
output:
0 1 1 1 0 1 1 0 0 1 1 0 1 0 0 0 1 0 0 1 1 0 0 1 1 1 0 1 0 0 0 0 1 0 0 0 0 1 1 1 1 0 0 1 0 1 1 1 1 1 0 1 1 0 1 0 0 0 1 0 0 0 0 0 1 0 1 1 0 1 1 0 0 1 1 1 0 1 0 0 1 0 0 1 0 1 0 0 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 1 0 1 0 1 1 1 0 0 1 0 0 0 1 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 0 1 1 1 0 1 1 0 1 0 ...
result:
ok 251 tokens
Test #18:
score: 0
Accepted
time: 49ms
memory: 4696kb
input:
270 101100110100000111111100001001001110000000001100010000100100100110110001010100010000010001001010001110011100101011111001011011100110011101111010010010100010000111101111000010010101111110101100100000011111000101111001010111001001111100111000100101110010001001000000000001 1101110101101110100111111...
output:
0 1 0 0 1 1 1 0 0 1 0 1 0 1 1 0 1 1 0 0 1 0 0 1 1 1 0 1 1 0 0 0 1 0 0 1 1 1 0 0 0 0 1 0 0 0 0 0 1 1 1 0 1 1 1 0 0 1 1 0 1 1 1 1 0 1 1 0 0 1 0 0 0 1 1 0 0 1 1 1 1 0 1 0 0 1 0 1 0 0 1 1 1 1 0 0 0 1 0 1 0 0 1 0 0 0 1 1 0 0 1 1 0 1 1 1 1 0 1 1 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 1 1 0 0 1 0 1 1 0 0 0 0 1 0 0 ...
result:
ok 271 tokens
Test #19:
score: 0
Accepted
time: 67ms
memory: 4720kb
input:
300 11001101000001111111000010010011100000000011000100001001001001101100010101000100000100010010100011100111001010111110010110111001100111011110100100101000100001111011110000100101011111101011001000000111110001011110010101110010011111001110001001011100100010010000000000011101110101101110100111111110...
output:
0 0 0 0 1 0 1 0 0 1 1 1 1 0 0 1 1 0 1 1 0 0 0 1 1 0 0 1 0 0 1 1 0 1 0 0 1 0 0 1 1 1 0 0 0 1 1 1 1 1 1 1 0 0 1 0 0 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 0 0 1 1 1 0 0 1 0 1 1 0 1 1 0 1 1 0 1 0 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 0 1 0 0 1 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 0 1 1 1 0 1 0 1 1 1 1 0 1 1 1 1 1 0 1 1 0 1 ...
result:
ok 301 tokens
Test #20:
score: 0
Accepted
time: 58ms
memory: 4880kb
input:
300 00110100000111111100001001001110000000001100010000100100100110110001010100010000010001001010001110011100101011111001011011100110011101111010010010100010000111101111000010010101111110101100100000011111000101111001010111001001111100111000100101110010001001000000000001110111010110111010011111111010...
output:
1 1 0 1 1 0 1 1 1 1 1 1 1 0 0 1 0 1 0 1 0 0 1 1 0 0 1 0 0 0 0 0 1 0 0 1 1 1 0 0 0 1 1 0 0 1 0 1 0 1 0 1 0 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0 1 1 0 0 1 0 0 1 0 0 1 1 1 0 0 0 1 1 0 1 0 1 0 0 0 0 0 0 0 1 0 0 1 1 1 1 0 1 0 0 0 1 0 1 0 1 1 0 0 0 1 1 0 1 1 0 0 0 0 1 0 1 0 1 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 0 ...
result:
ok 301 tokens
Test #21:
score: 0
Accepted
time: 68ms
memory: 4712kb
input:
300 11010000011111110000100100111000000000110001000010010010011011000101010001000001000100101000111001110010101111100101101110011001110111101001001010001000011110111100001001010111111010110010000001111100010111100101011100100111110011100010010111001000100100000000000111011101011011101001111111101001...
output:
0 1 0 1 0 1 1 0 1 1 0 0 0 0 1 1 1 0 1 1 0 0 1 1 0 0 0 1 0 0 0 1 1 0 1 1 1 0 1 1 1 1 1 0 0 0 1 1 0 0 0 0 0 0 1 1 0 1 0 1 1 0 0 0 1 1 1 0 0 1 0 0 1 0 0 1 1 0 0 1 0 0 0 1 0 1 1 0 0 1 0 1 0 0 0 1 1 0 1 0 1 0 0 1 0 1 1 1 1 1 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1 0 0 1 0 0 1 0 0 1 0 1 1 0 0 1 0 0 1 0 1 0 0 1 0 0 ...
result:
ok 301 tokens