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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#314110#5827. 异或图vme5030 12ms5928kbC++172.0kb2024-01-25 12:48:522024-01-25 12:48:52

Judging History

你现在查看的是最新测评结果

  • [2024-01-25 12:48:52]
  • 评测
  • 测评结果:30
  • 用时:12ms
  • 内存:5928kb
  • [2024-01-25 12:48:52]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define pb push_back
#define ctz __builtin_ctz
#define pct __builtin_popcount
#define par __builtin_parity
#define mid ((l+r)/2)
const int N=16,M=(1<<15)+5,MOD=998244353;
int n,m,n1,ans,o[N],o1[N],e[N],w[M],w1[M],dp[N][M],dp1[N][2][2];ll c,a[N],a1[N];
void W(int &x,int y) {x+=y;if(x>=MOD) x-=MOD;}
void W(int &x,ll y) {x=(x+y)%MOD;}
int add(int x,int y) {x+=y;return x<MOD?x:x-MOD;}
int slv(int x)
{
	int res=0;ll s=0;n1=0;
	for(int i=0;i<n;++i) if(x>>i&1) s^=a[i],a1[n1++]=a[i];res=s==c;
	for(int i=59;i>=0;--i)
	{
		dp1[0][0][0]=1;
		for(int j=0;j<n1;++j)
		{
			for(int k=0;k<2;++k) for(int l=0;l<2;++l) dp1[j+1][k][l]=0;
			for(int k=0;k<2;++k) for(int l=0;l<2;++l) if(a1[j]>>i&1)
				W(dp1[j+1][k][1],(l?(1ll<<i)%MOD:1)*dp1[j][k][l]),
				W(dp1[j+1][k^1][l],((a1[j]&(1ll<<i)-1)+1)%MOD*dp1[j][k][l]);
			else W(dp1[j+1][k][l],((a1[j]&(1ll<<i)-1)+1)%MOD*dp1[j][k][l]);
		}W(res,dp1[n1][c>>i&1][1]);if((s^c)>>i&1) break;
	}return res;
}
int main()
{
	scanf("%d %d %lld",&n,&m,&c);dp[n][0]=1;iota(o,o+n,0);
	for(int i=0;i<n;++i) scanf("%lld",&a[i]);sort(o,o+n,[](int x,int y) {return a[x]>a[y];});
	sort(a,a+n,greater<int>());for(int i=0;i<n;++i) o1[o[i]]=i;
	for(int i=1,u,v;i<=m;++i) scanf("%d %d",&u,&v),u=o1[u-1],v=o1[v-1],e[u]|=1<<v,e[v]|=1<<u;
	for(int i=1,t;i<1<<n;++i) t=ctz(i),w1[i]=w1[i&i-1]+pct(e[t]&i);
	for(int i=0;i<1<<n;++i) w1[i]=w1[i]?0:1;
	for(int i=1,t;i<1<<n;++i)
	{t=0;for(int j=i;;j=j-(i&-i)*2&i) {W(t,1ll*w[j]*w1[i^j]);if(j==(i&-i)) break;}w[i]=add(w1[i],MOD-t);}
	for(int i=n-1,t;i>=0;--i) for(int j=0;j<1<<n;++j) if(dp[i+1][j])
	{
		if(j>>i&1) {W(dp[i][j^(1<<i)],dp[i+1][j]);continue;}t=(j&(1<<i)-1)^(1<<i)-1;
		for(int k=t;;k=k-1&t)
		{
			if(par(k)) W(dp[i][j|k],(a[i]+1)%MOD*dp[i+1][j]%MOD*w[k|(1<<i)]);
			else W(dp[i][j|k|(1<<i)],1ll*dp[i+1][j]*w[k|(1<<i)]);if(!k) break;
		}
	}for(int i=1;i<1<<n;++i) W(ans,1ll*dp[0][i]*slv(i));printf("%d\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: 5924kb

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: 3956kb

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: 3896kb

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: 1ms
memory: 5928kb

input:

4 0 4
9 8 5 2

output:

148

result:

ok 1 number(s): "148"

Test #5:

score: 0
Accepted
time: 1ms
memory: 3824kb

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: 0ms
memory: 3812kb

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: 0ms
memory: 3816kb

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: 0ms
memory: 3828kb

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: 0ms
memory: 3820kb

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: 0ms
memory: 3972kb

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: 0ms
memory: 3956kb

input:

3 0 3
15 7 12

output:

104

result:

ok 1 number(s): "104"

Test #12:

score: 0
Accepted
time: 0ms
memory: 3808kb

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: 3964kb

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: 0ms
memory: 3828kb

input:

5 0 12
9 8 14 11 2

output:

3006

result:

ok 1 number(s): "3006"

Test #15:

score: 0
Accepted
time: 0ms
memory: 3880kb

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: 0ms
memory: 3792kb

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:

66623410

result:

wrong answer 1st numbers differ - expected: '5392583', found: '66623410'

Subtask #3:

score: 10
Accepted

Test #47:

score: 10
Accepted
time: 12ms
memory: 4076kb

input:

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

output:

231790380

result:

ok 1 number(s): "231790380"

Test #48:

score: 0
Accepted
time: 1ms
memory: 4036kb

input:

11 0 101435837408688522
638776638580507479 933944392115323974 19098604312360490 142362319980029593 419910251764515410 275591812677260089 770239593400917018 928344484461634421 67340905784404712 378109786925249078 110881245457449811

output:

242383534

result:

ok 1 number(s): "242383534"

Test #49:

score: 0
Accepted
time: 1ms
memory: 3836kb

input:

9 0 100988561775675251
622570387572403506 684352103903274038 784649864569409753 270298495621205212 56183537059869110 346856482529145989 86639702870530669 607198038565138736 14747634008501988

output:

20893166

result:

ok 1 number(s): "20893166"

Test #50:

score: 0
Accepted
time: 1ms
memory: 3828kb

input:

10 0 839910859917247463
611237879350518457 292219463776059962 548211857317940894 822255554598388425 335628456629874391 774414280870858683 882480367082748768 654587410087321403 74330774886125511 22894883233341926

output:

61697734

result:

ok 1 number(s): "61697734"

Subtask #4:

score: 0
Skipped

Dependency #1:

100%
Accepted

Dependency #2:

0%