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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#69604#992. Number of Colorful MatchingschenshiAC ✓75ms4880kbC++2.1kb2022-12-28 22:18:452022-12-28 22:18:49

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.
  • [2022-12-28 22:18:49]
  • 评测
  • 测评结果:AC
  • 用时:75ms
  • 内存:4880kb
  • [2022-12-28 22:18:45]
  • 提交

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
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1
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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
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0
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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
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1
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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
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0
0
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...

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
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0
0
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0
0
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...

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
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...

result:

ok 271 tokens

Test #11:

score: 0
Accepted
time: 75ms
memory: 4664kb

input:

300
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

0
1
0
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...

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
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0
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0
1
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0
1
1
1
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1
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0
1
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1
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1
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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
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1
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1
1
0
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1
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1
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1
1
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0

result:

ok 81 tokens

Test #14:

score: 0
Accepted
time: 3ms
memory: 4048kb

input:

120
011110001011001101000001111111000010010011100000000011000100001001001001101100010101000100000100010010100011100111001010
111110010110111001100111011110100100101000100001111011110000100101011111101011001000000111110001011110010101110010011111
001110001001011100100010010000000000011101110101101110...

output:

0
1
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0

result:

ok 121 tokens

Test #15:

score: 0
Accepted
time: 15ms
memory: 4320kb

input:

180
111000101100110100000111111100001001001110000000001100010000100100100110110001010100010000010001001010001110011100101011111001011011100110011101111010010010100010000111101111000010
0101011111101011001000000111110001011110010101110010011111001110001001011100100010010000000000011101110101101110100...

output:

0
1
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1
1
...

result:

ok 181 tokens

Test #16:

score: 0
Accepted
time: 26ms
memory: 4348kb

input:

220
1000101100110100000111111100001001001110000000001100010000100100100110110001010100010000010001001010001110011100101011111001011011100110011101111010010010100010000111101111000010010101111110101100100000011111000101111001
010111001001111100111000100101110010001001000000000001110111010110111010011...

output:

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...

result:

ok 221 tokens

Test #17:

score: 0
Accepted
time: 38ms
memory: 4580kb

input:

250
0010110011010000011111110000100100111000000000110001000010010010011011000101010001000001000100101000111001110010101111100101101110011001110111101001001010001000011110111100001001010111111010110010000001111100010111100101011100100111110011100010010111
001000100100000000000111011101011011101001111...

output:

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...

result:

ok 251 tokens

Test #18:

score: 0
Accepted
time: 49ms
memory: 4696kb

input:

270
101100110100000111111100001001001110000000001100010000100100100110110001010100010000010001001010001110011100101011111001011011100110011101111010010010100010000111101111000010010101111110101100100000011111000101111001010111001001111100111000100101110010001001000000000001
1101110101101110100111111...

output:

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...

result:

ok 271 tokens

Test #19:

score: 0
Accepted
time: 67ms
memory: 4720kb

input:

300
11001101000001111111000010010011100000000011000100001001001001101100010101000100000100010010100011100111001010111110010110111001100111011110100100101000100001111011110000100101011111101011001000000111110001011110010101110010011111001110001001011100100010010000000000011101110101101110100111111110...

output:

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...

result:

ok 301 tokens

Test #20:

score: 0
Accepted
time: 58ms
memory: 4880kb

input:

300
00110100000111111100001001001110000000001100010000100100100110110001010100010000010001001010001110011100101011111001011011100110011101111010010010100010000111101111000010010101111110101100100000011111000101111001010111001001111100111000100101110010001001000000000001110111010110111010011111111010...

output:

1
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...

result:

ok 301 tokens

Test #21:

score: 0
Accepted
time: 68ms
memory: 4712kb

input:

300
11010000011111110000100100111000000000110001000010010010011011000101010001000001000100101000111001110010101111100101101110011001110111101001001010001000011110111100001001010111111010110010000001111100010111100101011100100111110011100010010111001000100100000000000111011101011011101001111111101001...

output:

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...

result:

ok 301 tokens