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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#859365#247. 州区划分yhddd100 ✓3811ms779080kbC++202.3kb2025-01-17 18:01:422025-01-17 18:01:43

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你现在查看的是最新测评结果

  • [2025-01-17 18:01:43]
  • 评测
  • 测评结果：100
  • 用时：3811ms
  • 内存：779080kb
查看
  • [2025-01-17 18:01:42]
  • 提交

answer

#include<bits/stdc++.h>
#define int long long
#define mod 998244353ll
#define pii pair<int,int>
#define fi first
#define se second
#define mems(x,y) memset(x,y,sizeof(x))
#define pb push_back
#define db double
using namespace std;
const int maxn=200010;
const int inf=1e18;
inline int read(){
	int x=0,f=1;
	char ch=getchar();
	while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=getchar();}
	while(ch>='0'&&ch<='9'){x=(x<<3)+(x<<1)+(ch-48);ch=getchar();}
	return x*f;
}
bool Mbe;

int n,m,p;
inline int ksm(int a,int b=mod-2){
	int ans=1;
	while(b){
		if(b&1)ans=ans*a%mod;
		a=a*a%mod;
		b>>=1;
	}
	return ans;
}
vector<int> e[21];
int sum[1<<21],edge[21];
int f[22][1<<21],g[22][1<<21];
bool vis[21][1<<21],bk[1<<21];
void dfs(int u,int s){
	vis[u][s]=bk[s]=1;
	int mn=s&(-s);
	for(int v:e[u]){
		if((1<<v)<mn)break;
		if(!vis[v][s|(1<<v)])dfs(v,s|(1<<v));
	}
}
vector<int> id[22];
void fwt(int *a,int n,int fl=1){
	for(int l=2;l<=n;l<<=1){
		int k=l>>1;
		for(int i=0;i<n;i+=l){
			for(int j=i;j<i+k;j++)(a[j+k]+=a[j]*fl)%=mod;
		}
	}
}
void work(){
	n=read();m=read();p=read();
	for(int i=1;i<=m;i++){
		int u=read()-1,v=read()-1;
		edge[u]|=1<<v,edge[v]|=1<<u;
		e[u].pb(v),e[v].pb(u);
	}
	for(int i=0;i<n;i++)sum[1<<i]=read();
	for(int s=0;s<(1<<n);s++)if(s!=(s&(-s))){
		sum[s]=(sum[s^(s&(-s))]+sum[s&(-s)])%mod;
	}
	for(int s=0;s<(1<<n);s++)sum[s]=ksm(sum[s],p);
	for(int i=0;i<n;i++)sort(e[i].begin(),e[i].end(),[&](int u,int v){return u>v;});
	for(int i=0;i<n;i++)dfs(i,1<<i);
	for(int s=0;s<(1<<n);s++)if(bk[s]){
		for(int i=0;i<n;i++)if(s&(1<<i)){
			if(__builtin_popcount(edge[i]&s)&1){
				bk[s]=0;break;
			}
		}
	}
	for(int s=0;s<(1<<n);s++)if(!bk[s])g[__builtin_popcount(s)][s]=sum[s];
	f[0][0]=1;
	for(int i=0;i<=n;i++)fwt(g[i],1<<n);fwt(f[0],1<<n);
	for(int i=1;i<=n;i++){
		for(int j=0;j<i;j++){
			for(int s=0;s<(1<<n);s++)(f[i][s]+=f[j][s]*g[i-j][s])%=mod;
		}
		fwt(f[i],(1<<n),mod-1);
		for(int s=0;s<(1<<n);s++)if(__builtin_popcount(s)==i){
			f[i][s]=f[i][s]*ksm(sum[s])%mod;
		}
		if(i<n)fwt(f[i],1<<n);
	}
	printf("%lld\n",f[n][(1<<n)-1]);
}

// \
444

bool Med;
int T;
signed main(){
//	freopen(".in","r",stdin);
//	freopen(".out","w",stdout);
	
//	ios::sync_with_stdio(0);
//	cin.tie(0);cout.tie(0);
	
//	cerr<<(&Mbe-&Med)/1048576.0<<" MB\n";
	
	T=1;
	while(T--)work();
}
Source code, Language: C++20

Details

Tip: Click on the bar to expand more detailed information

Subtask #1:

score: 26
Accepted

Test #1:

score: 26
Accepted
time: 0ms
memory: 22224kb

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: 26
Accepted
time: 0ms
memory: 30712kb

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: 26
Accepted
time: 32ms
memory: 45388kb

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: 26
Accepted
time: 29ms
memory: 45384kb

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: 26
Accepted
time: 31ms
memory: 45260kb

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: 3647ms
memory: 779064kb

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: 29
Accepted
time: 3786ms
memory: 778888kb

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: 29
Accepted
time: 3645ms
memory: 779020kb

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: 29
Accepted
time: 3733ms
memory: 778748kb

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: 3665ms
memory: 779012kb

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: 23
Accepted
time: 3811ms
memory: 778976kb

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: 23
Accepted
time: 3680ms
memory: 778880kb

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: 23
Accepted
time: 3795ms
memory: 778892kb

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: 3758ms
memory: 779080kb

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: 22
Accepted
time: 3748ms
memory: 778952kb

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
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