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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
#424134#247. 州区划分QBF100 ✓5622ms384516kbC++141.8kb2024-05-28 22:19:022024-05-28 22:19:04

Judging History

你现在查看的是最新测评结果

  • [2024-05-28 22:19:04]
  • 评测
  • 测评结果:100
  • 用时:5622ms
  • 内存:384516kb
  • [2024-05-28 22:19:02]
  • 提交

answer

#include<bits/stdc++.h>
#define rg register int
#define ll long long
#define ci const int
using namespace std;
inline int read(){char ch(getchar());int res(0);while(ch<48||ch>57)ch=getchar();while(ch>=48&&ch<=57)res=(res<<1)+(res<<3)+(ch^48),ch=getchar();return res;}
ci N=22,mod=998244353,M=(1<<21)+5,K=N*N;
int n,lm,m,p,d[N],X[K],Y[K],cnt[M],w[N],F[N][M],G[N][M],tmp[M],s[M],inv[M],f[N];
int fd(ci x){
	return x^f[x]?f[x]=fd(f[x]):x;
}
inline int qk(ll x,int y){
	ll ans=1;
	while(y){
		if(y&1)ans=ans*x%mod;
		x=x*x%mod,y>>=1;
	}return ans;
}
inline void add(int &x,ci v){
	x+=v,x-=x<mod?0:mod;
}
inline void sub(int &x,ci v){
	x-=v,x+=x<0?mod:0;
}
inline void FWT(int *a,ci tp){
	for(rg l=2;l<=lm;l<<=1)
		for(rg i=0;i<lm;i+=l)
			for(rg j=0;j^(l>>1);++j)
				(tp?add:sub)(a[i+j+(l>>1)],a[i+j]);
}
int main(){
	lm=1<<(n=read()),m=read(),p=read();
	for(rg i=1;i<=m;++i)X[i]=read(),Y[i]=read();
	for(rg i=1;i<=n;++i)w[i]=read();
	for(rg i=0;i^lm;++i)cnt[i]=cnt[i>>1]+(i&1);
	for(rg i=1;i^lm;++i){
		for(rg j=1;j<=n;++j)if(i&(1<<j-1))s[i]+=w[j];
		memset(d,0,sizeof(d));
		for(rg j=1;j<=n;++j)f[j]=j;
		for(rg j=1;j<=m;++j)if((i&(1<<X[j]-1))&&(i&(1<<Y[j]-1)))++d[X[j]],++d[Y[j]],f[fd(X[j])]=fd(Y[j]);
		bool ok=0;
		for(rg j=1;j<=n;++j)
			if(d[j]&1){
				ok=1;break;
			}
		for(rg las=0,j=1;j<=n;++j)
			if(i&(1<<j-1)){
				if(las&&(fd(las)^fd(j))){
					ok=1;break;
				}
				las=j;
			}
		if(ok)G[cnt[i]][i]=qk(s[i],p);
		inv[i]=qk(qk(s[i],mod-2),p);
	}
	for(rg i=1;i<=n;++i)FWT(G[i],1);
	F[0][0]=1,FWT(F[0],1);
	for(rg i=1;i<=n;++i){
		memset(tmp,0,sizeof(tmp));
		for(rg j=1;j<=i;++j)
			for(rg k=0;k^lm;++k)
				add(tmp[k],(ll)F[i-j][k]*G[j][k]%mod);
		FWT(tmp,0);
		for(rg j=0;j^lm;++j)
			if(cnt[j]==i)
				F[i][j]=(ll)tmp[j]*inv[j]%mod;
		if(i^n)FWT(F[i],1);
	}
	printf("%d",F[n][lm-1]);
	return 0;
}

详细

Subtask #1:

score: 26
Accepted

Test #1:

score: 26
Accepted
time: 0ms
memory: 38592kb

input:

5 4 2
3 1
4 1
5 1
4 3
94 45 77 43 3

output:

652834711

result:

ok 1 number(s): "652834711"

Test #2:

score: 0
Accepted
time: 0ms
memory: 59152kb

input:

10 34 2
1 2
5 1
6 1
1 8
1 9
1 10
3 2
2 6
7 2
2 8
9 2
10 2
3 4
3 5
3 6
3 8
9 3
10 3
4 5
6 4
8 4
9 4
10 4
5 8
9 5
10 5
7 6
6 8
6 10
8 7
9 7
10 7
8 9
10 9
89 50 53 95 71 52 83 54 54 12

output:

748246143

result:

ok 1 number(s): "748246143"

Test #3:

score: 0
Accepted
time: 46ms
memory: 79884kb

input:

15 81 0
1 4
6 1
1 7
1 8
1 9
10 1
1 13
14 1
1 15
2 3
4 2
5 2
6 2
2 7
2 8
2 11
12 2
13 2
14 2
2 15
4 3
5 3
3 7
3 8
3 9
10 3
11 3
3 13
14 3
15 3
4 5
6 4
4 7
4 8
9 4
11 4
4 12
13 4
14 4
15 4
6 5
8 5
5 9
5 10
5 11
5 12
6 7
8 6
9 6
10 6
11 6
6 12
6 14
8 7
7 9
7 10
7 11
7 12
13 7
7 14
7 15
8 10
8 11
8 12
1...

output:

318194083

result:

ok 1 number(s): "318194083"

Test #4:

score: 0
Accepted
time: 47ms
memory: 79872kb

input:

15 70 1
1 2
3 1
4 1
1 5
6 1
8 1
1 9
1 12
1 13
1 15
2 3
2 4
2 5
2 6
2 7
2 9
2 11
12 2
13 2
2 14
3 5
6 3
3 8
9 3
11 3
12 3
3 13
4 5
8 4
10 4
4 12
13 4
6 5
7 5
5 8
9 5
11 5
5 13
14 5
6 7
6 8
6 9
10 6
6 12
6 13
6 14
15 6
7 8
7 9
7 10
12 7
7 13
14 7
9 8
10 8
12 8
14 8
15 8
9 11
13 9
14 9
9 15
10 11
13 10...

output:

92331988

result:

ok 1 number(s): "92331988"

Test #5:

score: 0
Accepted
time: 43ms
memory: 79808kb

input:

15 67 2
1 2
1 3
5 1
1 6
1 8
11 1
12 1
1 13
15 1
2 5
2 6
8 2
2 10
11 2
2 12
13 2
2 14
4 3
9 3
3 10
11 3
15 3
5 4
7 4
8 4
10 4
11 4
4 12
13 4
14 4
5 6
5 8
9 5
10 5
12 5
13 5
14 5
6 7
6 8
6 9
6 10
6 11
6 14
7 8
10 7
11 7
12 7
7 15
9 8
8 10
13 8
8 14
10 9
9 11
9 12
13 9
14 9
15 9
13 10
15 10
12 11
14 11...

output:

237027263

result:

ok 1 number(s): "237027263"

Subtask #2:

score: 29
Accepted

Dependency #1:

100%
Accepted

Test #6:

score: 29
Accepted
time: 4095ms
memory: 382904kb

input:

21 146 0
1 6
7 1
1 8
1 9
10 1
1 11
1 14
1 15
1 16
18 1
1 19
1 21
2 3
4 2
5 2
2 7
2 8
2 9
2 12
13 2
2 15
2 17
2 18
2 19
2 20
2 21
4 3
5 3
3 6
3 7
8 3
3 10
12 3
3 13
3 15
3 16
3 18
20 3
3 21
4 5
4 6
4 8
9 4
12 4
13 4
17 4
18 4
20 4
4 21
5 6
5 7
5 8
5 9
12 5
13 5
5 14
5 15
5 17
18 5
5 19
20 5
5 21
6 8
...

output:

739452507

result:

ok 1 number(s): "739452507"

Test #7:

score: 0
Accepted
time: 5622ms
memory: 383532kb

input:

21 209 0
15 17
18 21
8 20
7 20
11 17
11 13
12 18
2 13
19 20
4 8
6 13
3 20
5 10
4 20
1 5
7 13
5 7
4 10
4 9
6 7
4 18
8 17
1 11
3 13
11 19
2 15
3 8
14 19
5 16
2 10
13 21
4 21
7 11
5 20
3 7
6 19
9 17
13 16
5 12
1 6
3 15
6 16
2 5
4 5
8 16
1 3
1 16
1 14
2 9
7 16
10 16
2 18
13 15
7 10
11 12
10 20
6 10
1 20...

output:

835537739

result:

ok 1 number(s): "835537739"

Test #8:

score: 0
Accepted
time: 4068ms
memory: 384020kb

input:

21 146 0
2 1
1 4
5 1
1 7
1 8
1 9
13 1
14 1
15 1
16 1
1 17
18 1
1 19
2 3
2 4
5 2
2 6
7 2
2 8
9 2
2 10
2 11
2 12
13 2
15 2
2 18
19 2
2 20
21 2
5 3
3 6
7 3
3 10
13 3
14 3
15 3
3 16
3 17
3 20
21 3
4 7
4 9
10 4
4 11
12 4
4 13
4 16
4 17
18 4
4 20
21 4
5 7
8 5
5 9
13 5
5 14
15 5
5 16
5 17
5 18
5 20
21 5
7 ...

output:

873127243

result:

ok 1 number(s): "873127243"

Test #9:

score: 0
Accepted
time: 5540ms
memory: 384516kb

input:

21 205 0
4 10
8 15
8 16
6 21
1 5
9 15
1 7
12 18
2 19
5 10
7 18
8 10
11 20
3 11
18 20
4 20
15 17
15 19
3 5
2 18
19 20
8 19
1 3
8 13
7 21
10 17
16 17
5 13
15 21
5 6
9 20
1 16
2 13
16 20
10 19
10 11
1 11
2 21
13 20
2 12
14 19
2 3
3 9
4 16
4 14
9 13
10 18
4 11
16 21
4 9
7 14
3 19
14 18
7 20
3 10
15 16
5...

output:

38084232

result:

ok 1 number(s): "38084232"

Subtask #3:

score: 23
Accepted

Dependency #1:

100%
Accepted

Test #10:

score: 23
Accepted
time: 4291ms
memory: 383392kb

input:

21 159 1
2 1
3 1
5 1
7 1
1 9
11 1
12 1
13 1
17 1
18 1
1 19
20 1
2 3
2 4
5 2
7 2
2 8
2 10
12 2
13 2
2 14
15 2
2 18
19 2
20 2
21 2
3 4
5 3
6 3
7 3
3 8
9 3
3 10
3 11
3 12
3 13
14 3
3 15
16 3
18 3
3 19
3 21
5 4
6 4
4 7
8 4
9 4
4 11
4 14
4 15
16 4
17 4
19 4
21 4
5 6
5 7
5 9
10 5
11 5
12 5
5 14
15 5
5 17
...

output:

211589144

result:

ok 1 number(s): "211589144"

Test #11:

score: 0
Accepted
time: 5573ms
memory: 384036kb

input:

21 208 1
12 15
5 13
15 18
2 11
12 19
3 11
11 15
9 11
5 14
11 13
7 12
1 5
3 5
8 13
14 18
9 21
2 4
1 12
3 7
9 10
12 20
5 15
10 20
15 19
16 18
18 20
13 16
3 9
16 20
6 13
11 16
15 17
1 20
4 6
11 21
1 3
1 15
8 21
13 19
7 21
17 19
4 5
10 11
11 17
3 20
7 10
12 18
7 9
5 16
11 12
3 12
14 19
8 20
12 21
7 13
5...

output:

56778317

result:

ok 1 number(s): "56778317"

Test #12:

score: 0
Accepted
time: 4126ms
memory: 384180kb

input:

21 137 1
3 1
1 4
5 1
7 1
8 1
1 11
1 12
13 1
16 1
1 17
1 19
20 1
21 1
2 3
2 4
2 5
7 2
8 2
9 2
10 2
2 11
12 2
2 13
17 2
18 2
2 19
3 4
3 6
3 13
14 3
15 3
17 3
3 18
19 3
21 3
4 5
6 4
7 4
4 8
9 4
10 4
4 11
4 12
4 14
15 4
16 4
4 19
4 20
6 5
7 5
8 5
9 5
10 5
5 11
12 5
13 5
5 15
5 17
5 18
5 19
21 5
7 6
6 10...

output:

490355723

result:

ok 1 number(s): "490355723"

Test #13:

score: 0
Accepted
time: 5372ms
memory: 383692kb

input:

21 205 1
16 18
6 14
10 14
1 2
12 14
4 8
12 16
1 4
2 15
14 16
4 11
15 17
4 7
3 16
11 17
15 21
13 20
2 21
6 19
13 14
20 21
17 19
9 19
10 20
7 9
11 15
7 13
8 14
4 15
8 13
5 14
3 11
8 9
10 21
3 10
14 18
5 16
5 20
17 18
3 17
1 8
5 10
13 15
3 9
7 21
14 20
1 20
8 10
1 13
5 17
13 16
15 18
4 10
18 21
1 5
18 ...

output:

748937625

result:

ok 1 number(s): "748937625"

Subtask #4:

score: 22
Accepted

Dependency #1:

100%
Accepted

Test #14:

score: 22
Accepted
time: 5518ms
memory: 383248kb

input:

21 207 2
2 6
9 20
2 11
11 19
6 9
7 20
12 19
12 18
15 18
1 4
5 8
20 21
17 18
5 9
12 14
4 14
15 17
18 20
3 18
11 13
4 17
12 15
2 19
10 20
11 17
5 7
3 4
14 21
9 21
13 17
9 13
13 20
3 17
2 17
2 8
17 20
1 17
9 19
2 12
4 9
14 15
14 18
6 15
16 20
3 8
12 17
5 10
9 10
8 15
4 16
2 21
5 13
9 15
1 21
2 10
8 11
...

output:

317043733

result:

ok 1 number(s): "317043733"

Test #15:

score: 0
Accepted
time: 5579ms
memory: 384264kb

input:

21 205 2
6 14
7 19
2 3
6 7
5 18
1 10
3 19
16 18
4 15
10 16
13 21
9 11
12 19
13 19
1 18
15 16
7 11
2 11
9 19
4 13
14 21
4 17
6 8
11 18
12 14
15 19
11 14
2 16
4 11
10 19
10 13
10 21
5 6
2 13
4 21
4 5
9 10
7 14
1 15
4 16
8 11
5 19
5 21
13 16
1 6
4 20
16 17
5 11
13 14
5 9
3 11
11 20
6 15
8 15
6 11
5 10
...

output:

364004893

result:

ok 1 number(s): "364004893"

Extra Test:

score: 0
Extra Test Passed