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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#314110 | #5827. 异或图 | vme50 | 30 | 12ms | 5928kb | C++17 | 2.0kb | 2024-01-25 12:48:52 | 2024-01-25 12:48:52 |
Judging History
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%