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#848288#247. 州区划分Drifty100 ✓5380ms402660kbC++142.4kb2025-01-08 18:37:562025-01-08 18:37:59

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你现在查看的是最新测评结果

  • [2025-01-08 18:37:59]
  • 评测
  • 测评结果：100
  • 用时：5380ms
  • 内存：402660kb
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  • [2025-01-08 18:37:56]
  • 提交

answer

// Hydro submission #677e55829649fea3d6ab2c93@1736332675384
#include <bits/stdc++.h>

const int MAXN=23;
const int MAXL=3e6+10;
const int MOD=998244353;

int v;
int e;
int p;
int w[MAXN];
int ufs[MAXN];
int sum[MAXL];
int deg[MAXN];
int dp[MAXN][MAXL];
int vx[MAXN][MAXL];
std::pair<int,int> E[MAXN*MAXN];

bool Check(int);
int FindRoot(int);
void FWT(int*,int);
void IFWT(int*,int);
int Pow(int,int,int);
int Sub(int,int,int);
int Add(int,int,int);

int main(){
	scanf("%d%d%d",&v,&e,&p);
	for(int i=0;i<e;i++){
		scanf("%d%d",&E[i].first,&E[i].second);
		--E[i].first;
		--E[i].second;
	}
	for(int i=0;i<v;i++)
		scanf("%d",w+i);
	int maxs=1<<v;
	for(int s=0;s<maxs;s++){
		int cnt=0;
		for(int i=0;i<v;i++)
			if((1<<i)&s)
				++cnt,sum[s]+=w[i];
		sum[s]=Pow(sum[s],p,MOD);
		vx[cnt][s]=Check(s)?sum[s]:0;
	}
	dp[0][0]=1;
	FWT(dp[0],maxs);
	for(int i=1;i<=v;i++){
		FWT(vx[i],maxs);
		for(int j=0;j<i;j++)
			for(int s=0;s<maxs;s++)
				(dp[i][s]+=1ll*dp[j][s]*vx[i-j][s]%MOD)%=MOD;
		IFWT(dp[i],maxs);
		for(int s=0;s<maxs;s++)
			if(__builtin_popcount(s)!=i)
				dp[i][s]=0;
			else
				dp[i][s]=1ll*dp[i][s]*Pow(sum[s],MOD-2,MOD)%MOD;
		if(i!=v)
			FWT(dp[i],maxs);
	}
	printf("%d\n",dp[v][maxs-1]);
	return 0;
}

bool Check(int s){
	for(int i=0;i<v;i++){
		ufs[i]=i;
		deg[i]=0;
	}
	int cnt=__builtin_popcount(s);
	for(int i=0;i<e;i++){
		if(((1<<E[i].first)&s)&&((1<<E[i].second)&s)){
			++deg[E[i].first];
			++deg[E[i].second];
			if(FindRoot(E[i].first)!=FindRoot(E[i].second)){
				ufs[FindRoot(E[i].first)]=FindRoot(E[i].second);
				--cnt;
			}
		}
	}
	if(cnt!=1)
		return true;
	for(int i=0;i<v;i++)
		if(((1<<i)&s)&&(deg[i]&1))
			return true;
	return false;
}

void FWT(int* a,int len){
	for(int i=1;i<len;i<<=1)
		for(int j=0;j<len;j+=i<<1)
			for(int k=0;k<i;k++)
				a[j+k+i]=Add(a[j+k+i],a[j+k],MOD);
}

void IFWT(int* a,int len){
	for(int i=1;i<len;i<<=1)
		for(int j=0;j<len;j+=i<<1)
			for(int k=0;k<i;k++)
				a[j+k+i]=Sub(a[j+k+i],a[j+k],MOD);
}

int Pow(int a,int n,int p){
	int ans=1;
	while(n>0){
		if(n&1)
			ans=1ll*a*ans%p;
		a=1ll*a*a%p;
		n>>=1;
	}
	return ans;
}

int FindRoot(int x){
	return ufs[x]==x?ufs[x]:ufs[x]=FindRoot(ufs[x]);
}

inline int Sub(int a,int b,int p){
	return a<b?a-b+p:a-b;
}

inline int Add(int a,int b,int p){
	return a+b>=p?a+b-p:a+b;
}
源文件, 语言: C++14

詳細信息

Subtask #1:

score: 26
Accepted

Test #1:

score: 26
Accepted
time: 3ms
memory: 16144kb

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: 26396kb

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: 39ms
memory: 38960kb

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: 38ms
memory: 40696kb

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: 41ms
memory: 38584kb

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: 3838ms
memory: 400424kb

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: 5380ms
memory: 400684kb

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: 3779ms
memory: 400420kb

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: 5283ms
memory: 399376kb

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: 3985ms
memory: 399500kb

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: 5249ms
memory: 399140kb

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: 3922ms
memory: 400728kb

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: 5067ms
memory: 396996kb

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: 5182ms
memory: 402660kb

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: 5267ms
memory: 400984kb

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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