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#643306#247. 州区划分Lackofgod100 ✓6273ms451924kbC++143.6kb2024-10-15 20:34:302024-10-15 20:34:30

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  • [2024-10-15 20:34:30]
  • 评测
  • 测评结果：100
  • 用时：6273ms
  • 内存：451924kb
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  • [2024-10-15 20:34:30]
  • 提交

answer

#include <bits/stdc++.h>
#define forn(i,aa,bb) for(int i=aa;i<=bb;++i)
#define LL long long 
#define pii pair<int,int> 
using namespace std;
const int N=2.5e6+5;
const LL mod=998244353;
int n,m,p;
int f[23][(1<<21)],g[23][(1<<21)];
int d[30],w[30];
bool vis[30];
vector<int> G[N];
int s[N],sum[N];
int inv[N],fa[50];
vector<int> q;
int get(int x){
    if (x==fa[x]) return fa[x];
    return fa[x]=get(fa[x]);
}
int qpow(int aa,int bb){
    int ans=1;
    for(;bb>0;bb>>=1) {
        if (bb&1ll) ans=1ll*ans*aa%mod;
        aa=1ll*aa*aa%mod;
    }
    return ans;
}
int calc(int x){ return __builtin_popcount(x); }
int calc1(int x) {
    int ans=1;
    forn(i,1,p) 
        ans=1ll*ans*x%mod;
    return ans;
}
int lowbit(int x){
    return x&(-x);
}
void OR(int*f,int x,int n){     // [0,n-1]
    for(int len=2;len<=n;len*=2){
        for(int i=0;i<n;i+=len){
            int mid=len>>1;
            for(int j=0;j<mid;j++){
                f[i+j+mid]=(f[i+j+mid]+1ll*f[i+j]*x%mod)%mod;
                f[i+j+mid]=(f[i+j+mid]+mod)%mod;
            }
        }
    }
}
signed main(){
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    int T;
    //cin>>T;
    T=1;
    while (T--) {
        cin>>n>>m>>p;
        forn(i,0,n-1)
            s[(1<<i)]=i+1;
        forn(i,1,m) {
            int x,y;
            cin>>x>>y;
            G[x].push_back(y);
            G[y].push_back(x);
        }
        forn(i,1,n)
            cin>>w[i];
        int lim=n; n=(1<<n);
        f[0][0]=0;
        forn(i,1,n-1) {
            q.clear();
            forn(j,0,lim)
                d[j]=0,vis[j]=0,fa[j]=j;

            for(int x=i;x>0;x-=lowbit(x)) {
                int now=s[lowbit(x)];
                vis[now]=1;
                sum[i]+=w[now];
                q.push_back(now);
            }       
            bool fl=0; 
            int bl=q.size();
            for(int x:q) {
                int cur1=get(x);
                for(int y:G[x]) 
                    if (vis[y]) {
                        d[x]++;
                        y=get(y);
                        if (y!=cur1) fa[y]=cur1,bl--;
                    }
                if (d[x]&1ll) {
                    fl=1;
                    break;
                }
            }
            if (bl>1) fl=1;
            if (fl) g[calc(i)][i]=calc1(sum[i]);
            else g[calc(i)][i]=0;
            inv[i]=calc1(qpow(sum[i],mod-2));
        }

        // forn(i,1,lim) {
        //     forn(j,0,n-1)
        //         cout<<g[i][j]<<' ';
        //     cout<<'\n';    
        // }
        g[0][0]=1ll;
        forn(i,0,lim)
            OR(g[i],1,n);
        
        f[0][0]=1ll;
        OR(f[0],1,n);

        forn(i,1,lim) {
            forn(j,0,i) 
                forn(k,0,n-1)
                    f[i][k]=(f[i][k]+1ll*f[i-j][k]*g[j][k]%mod)%mod;
            OR(f[i],-1,n);
            forn(k,0,n-1) {
                if (calc(k)==i) f[i][k]=1ll*f[i][k]*inv[k]%mod;
                else f[i][k]=0;
            }
            if (i<lim) OR(f[i],1,n); 
        }
        cout<<f[lim][n-1]<<'\n';
    }   
}
// 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
// 0 0 0 19321 0 29241 14884 0 0 18769 7744 0 14400 0 0 0 0 9409 2304 0 6400 0 0 0 2116 0 0 0 0 0 0 0 
// 0 0 0 0 0 0 0 46656 0 0 0 33124 0 0 27225 0 0 0 0 20164 0 30276 15625 0 0 19600 8281 0 15129 0 0 0 
// 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 67081 0 0 0 0 0 0 0 47961 0 0 0 34225 0 47089 28224 0 
// 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 68644
源文件, 语言: C++14

詳細信息

Subtask #1:

score: 26
Accepted

Test #1:

score: 26
Accepted
time: 12ms
memory: 81364kb

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: 7ms
memory: 91668kb

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: 60ms
memory: 104124kb

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: 63ms
memory: 103900kb

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: 51ms
memory: 128984kb

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: 5551ms
memory: 451924kb

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: 6273ms
memory: 449760kb

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: 5540ms
memory: 450064kb

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: 5817ms
memory: 449848kb

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: 5600ms
memory: 449812kb

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: 6219ms
memory: 449844kb

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: 5550ms
memory: 449868kb

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: 5931ms
memory: 451920kb

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: 5987ms
memory: 449916kb

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: 6011ms
memory: 449764kb

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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