QOJ.ac

QOJ

ID题目提交者结果用时内存语言文件大小提交时间测评时间
#18394#992. Number of Colorful MatchingsRealityang#AC ✓378ms13180kbC++142.5kb2022-01-18 22:36:252022-05-04 18:17:44

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2022-05-04 18:17:44]
  • 评测
  • 测评结果:AC
  • 用时:378ms
  • 内存:13180kb
  • [2022-01-18 22:36:25]
  • 提交

answer

#include<bits/stdc++.h>
#define int long long
using namespace std;
const int N=510,mod=2;char c;
int n,a[N][N],A[N][N],B[N][N],I[N][N],p[N][N],xx,II=1;
int ksm(int x,int y){
	int s=1;
	while(y){
		if(y&1)s=s*x%mod;
		x=x*x%mod;
		y>>=1;
	}
	return s;
}
void qk(int r,int x,int y){
	int c=mod-B[x][y]*ksm(B[x][r],mod-2)%mod;
	for(int i=1;i<=n;i++){
		A[i][y]=(A[i][y]+c*A[i][r]%mod)%mod;
		B[i][y]=(B[i][y]+c*B[i][r]%mod)%mod;
		I[i][y]=(I[i][y]+c*I[i][r]%mod)%mod;
	}
}
void B_I(){
	for(int i=1;i<=n;i++){
		int x=0;
		for(;xx<=n;xx++){
			for(int j=i;j<=n;j++)if(B[j][i]){x=j;break;}
			if(x){swap(A[i],A[x]);swap(B[i],B[x]);swap(I[i],I[x]);break;}
			for(int j=1;j<=n;j++)B[j][i]=A[j][i],A[j][i]=0;
			for(int j=1;j<i;j++)qk(j,j,i);
		}
		for(int j=1;j<=n;j++)if(i!=j)qk(i,i,j);
		for(int j=1;j<=n;j++)A[i][j]=A[i][j]*ksm(B[i][i],mod-2)%mod,I[i][j]=I[i][j]*ksm(B[i][i],mod-2)%mod;
	}
}
void sI(){
	for(int i=1;i<=n;i++){
		int x=0;
		for(int j=i;j<=n;j++)if(I[j][i]){x=j;break;}
		if(!x)break;
		swap(I[i],I[x]);
		for(int j=i+1;j<=n;j++){
			int c=mod-I[j][i]*ksm(I[i][i],mod-2)%mod;
			for(int k=1;k<=n;k++)I[j][k]=(I[j][k]+c*I[i][k]%mod)%mod;
		}
		II=II*I[i][i]%mod;
	}
}
void gauss(){
	for(int i=2;i<=n;i++){
		int x=0;
		for(int j=i;j<=n;j++)if(a[j][i-1]){x=j;break;}
		if(x==0)continue;
		swap(a[i],a[x]);
		for(int j=1;j<=n;j++)swap(a[j][i],a[j][x]);
		int c=ksm(a[i][i-1],mod-2);
		for(int j=i+1;j<=n;j++){
			int kk=a[j][i-1]*c%mod;
			for(int k=i-1;k<=n;k++)a[j][k]=(a[j][k]-kk*a[i][k]%mod+mod)%mod;
			for(int k=1;k<=n;k++)a[k][i]=(a[k][i]+kk*a[k][j]%mod)%mod; 
		}
	}
} 
void an(){
	p[0][0]=1;p[1][0]=mod-a[1][1];p[1][1]=1;
	for(int i=2;i<=n;i++){
		p[i][0]=p[i-1][0]*(mod-a[i][i])%mod;
		for(int j=1;j<=n;j++)p[i][j]=(p[i-1][j-1]-p[i-1][j]*a[i][i]%mod+mod)%mod;
		for(int m=1;m<=i-1;m++){
			int tr=a[i-m][i];
			for(int j=i-m+1;j<=i;j++)tr=tr*a[j][j-1]%mod;
			for(int j=0;j<=n;j++)p[i][j]=(p[i][j]-tr*p[i-m-1][j]%mod+mod)%mod;
		}
	}
}
signed main(){
	scanf("%lld\n",&n);
	for(int i=1;i<=n;i++){
		for(int j=1;j<=n;j++){
			scanf("%c",&c);
			B[i][j]=c-'0';
		}scanf("\n");
	}
	for(int i=1;i<=n;i++){
		for(int j=1;j<=n;j++){
			scanf("%c",&c);
			A[i][j]=c-'0';
		}if(i!=n)scanf("\n");
	}
	for(int i=1;i<=n;i++)I[i][i]=1;
	B_I();sI();
	for(int i=1;i<=n;i++)for(int j=1;j<=n;j++)a[i][j]=(mod-A[i][j])%mod;
	gauss();an();II=ksm(II,mod-2);
	for(int i=xx;i<=n;i++)printf("%lld\n",p[n][i]*II%mod);
	for(int i=1;i<=xx;i++)printf("0\n");
}

詳細信息

Test #1:

score: 100
Accepted
time: 5ms
memory: 11996kb

input:

2
11
10
00
11

output:

0
0
1

result:

ok 3 tokens

Test #2:

score: 0
Accepted
time: 2ms
memory: 11888kb

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: 0ms
memory: 11960kb

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: 12028kb

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: 315ms
memory: 13112kb

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: 322ms
memory: 13092kb

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: 309ms
memory: 13180kb

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: 115ms
memory: 12844kb

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: 168ms
memory: 12908kb

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: 270ms
memory: 12924kb

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: 378ms
memory: 12292kb

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: 7ms
memory: 12088kb

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: 8ms
memory: 12316kb

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: 25ms
memory: 12452kb

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: 71ms
memory: 12640kb

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: 121ms
memory: 12868kb

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: 186ms
memory: 12976kb

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: 236ms
memory: 12988kb

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: 298ms
memory: 13112kb

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: 304ms
memory: 13156kb

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: 322ms
memory: 13024kb

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