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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#322833#5827. 异或图gao_yc20 20ms4616kbC++112.4kb2024-02-07 20:33:362024-02-07 20:33:36

Judging History

你现在查看的是最新测评结果

  • [2024-02-07 20:33:36]
  • 评测
  • 测评结果:20
  • 用时:20ms
  • 内存:4616kb
  • [2024-02-07 20:33:36]
  • 提交

answer

#include<bits/stdc++.h>
#define rep(i,a,b) for(int i=(a);i<=(b);++i)
#define per(i,a,b) for(int i=(a);i>=(b);--i)
#define ll long long
using namespace std;
const int N=17,S=(1<<15)+10,mod=998244353;
int n,m,p[N],id[N];ll c,a[N];
void upd(ll &x,ll y){x=(x+y)%mod;}
ll qpow(ll a,int x){ll res=1;for(;x;x>>=1,a=a*a%mod) if(x&1) res=res*a%mod;return res;} 
ll inv(ll a){return qpow(a,mod-2);}
vector<ll> vs;
ll calc(){
    ll res=0,ans,f[2],g[2];
    per(i,60,0){
        f[0]=1;f[1]=0;int s=0,nc=(c>>i)&1;ans=1;
        for(ll val:vs){
            g[0]=f[0];g[1]=f[1];
            if((val>>i)&1){
                ++s;
                f[0]=(g[1]*((1ll<<i)%mod)%mod+g[0]*((val&(1<<i)-1)%mod+1)%mod)%mod;
                f[1]=(g[0]*((1ll<<i)%mod)%mod+g[1]*((val&(1<<i)-1)%mod+1)%mod)%mod;
            }
            else{
                f[0]=g[0]*((val&(1<<i)-1)%mod+1)%mod;
                f[1]=g[1]*((val&(1<<i)-1)%mod+1)%mod;
            }
            ans=ans*((val&(1<<i)-1)%mod+1)%mod;
        }
        upd(f[0],mod-ans);
        if(s) upd(res,f[nc^(s&1)]*inv((1ll<<i)%mod)%mod);
        if((s&1)!=nc) break;
        if(!i) ++res;
    }
    return res;
}
ll f[S],g[S],h[S],lh[S],ans;
int main(){
    scanf("%d%d%lld",&n,&m,&c);
    rep(i,1,n) scanf("%lld",a+i);
    iota(p+1,p+n+1,1);sort(p+1,p+n+1,[&](int x,int y){return a[x]<a[y];});rep(i,1,n) id[p[i]]=i;
    sort(a+1,a+n+1);
    int u,v;while(m--) scanf("%d%d",&u,&v),g[(1<<(id[u]-1))|(1<<(id[v]-1))]=1;
    rep(i,0,n-1) rep(j,0,(1<<n)-1) if(j>>i&1) g[j]|=g[j^(1<<i)];
    rep(i,0,(1<<n)-1) g[i]^=1;
    rep(i,1,(1<<n)-1){
        f[i]=g[i];
        for(int j=i&(i-1),jj=j;j;j=(j-1)&jj) upd(f[i],g[j]*(mod-f[i^j])%mod);
    }
    h[0]=1;
    rep(i,1,n){
        memcpy(lh,h,sizeof(h));memset(h,0,sizeof(h));
        rep(s,0,(1<<n)-1)
            if(s>>(i-1)&1) upd(h[s^(1<<i-1)],lh[s]);
            else{
                int sq=(s^((1<<n)-1))&((1<<n)-(1<<i));
                for(int j=sq;;j=(j-1)&sq){
                    int t=j|s;ll nr=lh[s]*f[j|(1<<i-1)]%mod;
                    if(__builtin_parity(j)) upd(h[t],(a[i]+1)%mod*nr%mod);
                    else upd(h[t|(1<<i-1)],nr);
                    if(!j) break;
                }
            }
    }
    rep(i,0,(1<<n)-1) if(h[i]){vs.clear();rep(j,1,n) if(i>>(j-1)&1) vs.push_back(a[j]);upd(ans,h[i]*calc()%mod);}
    printf("%lld\n",ans);
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Subtask #1:

score: 20
Accepted

Test #1:

score: 20
Accepted
time: 1ms
memory: 4456kb

input:

4 6 2
7 11 14 0
1 2
1 3
2 3
2 4
4 1
4 3

output:

44

result:

ok 1 number(s): "44"

Test #2:

score: 0
Accepted
time: 1ms
memory: 4432kb

input:

4 4 6
12 14 14 5
4 2
1 4
3 2
1 2

output:

798

result:

ok 1 number(s): "798"

Test #3:

score: 0
Accepted
time: 0ms
memory: 4308kb

input:

3 3 2
10 4 11
2 1
3 2
1 3

output:

33

result:

ok 1 number(s): "33"

Test #4:

score: 0
Accepted
time: 0ms
memory: 4496kb

input:

4 0 4
9 8 5 2

output:

148

result:

ok 1 number(s): "148"

Test #5:

score: 0
Accepted
time: 1ms
memory: 4376kb

input:

5 6 14
12 15 13 13 12
3 1
2 4
2 5
2 1
5 3
4 5

output:

21337

result:

ok 1 number(s): "21337"

Test #6:

score: 0
Accepted
time: 1ms
memory: 4496kb

input:

4 5 5
5 2 4 13
2 1
3 4
1 4
4 2
3 2

output:

42

result:

ok 1 number(s): "42"

Test #7:

score: 0
Accepted
time: 1ms
memory: 4356kb

input:

4 4 3
13 7 8 12
4 1
3 1
2 4
4 3

output:

552

result:

ok 1 number(s): "552"

Test #8:

score: 0
Accepted
time: 1ms
memory: 4372kb

input:

4 2 12
1 12 4 11
2 1
3 1

output:

70

result:

ok 1 number(s): "70"

Test #9:

score: 0
Accepted
time: 1ms
memory: 4456kb

input:

5 5 6
10 7 8 2 13
1 5
1 3
2 1
4 3
5 3

output:

1231

result:

ok 1 number(s): "1231"

Test #10:

score: 0
Accepted
time: 1ms
memory: 4388kb

input:

5 7 9
6 7 13 15 12
1 3
5 3
5 2
4 5
4 3
4 1
3 2

output:

6223

result:

ok 1 number(s): "6223"

Test #11:

score: 0
Accepted
time: 1ms
memory: 4452kb

input:

3 0 3
15 7 12

output:

104

result:

ok 1 number(s): "104"

Test #12:

score: 0
Accepted
time: 1ms
memory: 4440kb

input:

3 2 9
10 6 5
1 2
1 3

output:

17

result:

ok 1 number(s): "17"

Test #13:

score: 0
Accepted
time: 1ms
memory: 4452kb

input:

5 5 11
7 9 15 9 9
5 4
5 1
5 2
1 3
3 4

output:

5224

result:

ok 1 number(s): "5224"

Test #14:

score: 0
Accepted
time: 1ms
memory: 4388kb

input:

5 0 12
9 8 14 11 2

output:

3006

result:

ok 1 number(s): "3006"

Test #15:

score: 0
Accepted
time: 1ms
memory: 4356kb

input:

3 1 1
6 10 4
3 1

output:

30

result:

ok 1 number(s): "30"

Subtask #2:

score: 0
Wrong Answer

Dependency #1:

100%
Accepted

Test #16:

score: 0
Wrong Answer
time: 1ms
memory: 4452kb

input:

9 27 705410105529944560
929827299070190972 733413770730537329 473007347105710981 190062421504120247 918561152768663129 196040702922254016 981530663192980241 203295856357272834 337150461958783092
2 8
7 9
8 9
2 3
9 2
2 7
9 5
9 4
4 8
1 7
6 3
6 1
4 1
6 5
2 4
2 1
9 3
9 6
7 3
7 5
5 2
4 5
2 6
3 1
3 8
4 3
8 6

output:

580524414

result:

wrong answer 1st numbers differ - expected: '5392583', found: '580524414'

Subtask #3:

score: 0
Wrong Answer

Test #47:

score: 0
Wrong Answer
time: 20ms
memory: 4616kb

input:

14 0 731833687287532167
157552918690640051 900457311668526045 111217720157614956 84140984111060473 814012186135880499 784848789620248379 958953377683017264 105083874298571687 104921429970878846 44983041675142735 871013110538758030 686733907990421995 98063590462078176 495161493555059993

output:

273474550

result:

wrong answer 1st numbers differ - expected: '231790380', found: '273474550'

Subtask #4:

score: 0
Skipped

Dependency #1:

100%
Accepted

Dependency #2:

0%