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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#385615 | #5827. 异或图 | grass8cow | 30 | 9ms | 6560kb | C++17 | 2.2kb | 2024-04-10 21:43:08 | 2024-04-10 21:43:09 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
const int mod=998244353,inv2=(mod+1)/2;
#define ll long long
#define pb push_back
ll C,p2[70],i2[70];
void ad(ll &x,ll y){(x+=y)%=mod;}
ll cal(vector<ll>e){
ll X=0;for(ll o:e)X^=o;
ll su=0;
for(int i=60;i>=0;i--){
if(((X^C)>>i)&1)break;
if(i==0){ad(su,1);continue;}
ll dp[2]={1,0},ks[2]={0,0};
ll gz=1;
for(ll o:e){
ll gp=((o&((1ll<<(i-1))-1))+1)%mod;
gz=gz*gp%mod;
ks[0]=ks[1]=0;
for(int j=0;j<2;j++)if(dp[j]){
if((o>>(i-1))&1)
ad(ks[j],dp[j]*p2[i-1]),ad(ks[j^1],dp[j]*gp);
else ad(ks[j],dp[j]*gp);
}
dp[0]=ks[0],dp[1]=ks[1];
}
(su+=(dp[(C>>(i-1))&1]-((((X^C)>>(i-1))&1)?0:gz))*i2[i-1])%=mod;
}
return su;
}
int n,m;
int fi[1<<15],pp[1<<15];
ll a[15],dp[1<<15][17],zp[1<<15];
int ts[20];
int jk(int l,int r){
if(l>r)return 0;
return ((1<<(r-l+1))-1)<<l;
}
int ct[1<<15];
bool A[15][15];
int be[15],rk[15];
int main(){
p2[0]=i2[0]=1;
for(int i=1;i<=60;i++)p2[i]=2*p2[i-1]%mod,i2[i]=i2[i-1]*inv2%mod;
scanf("%d%d%lld",&n,&m,&C);
for(int i=0;i<n;i++)scanf("%lld",&a[i]),be[i]=i;
sort(be,be+n,[&](int x,int y){return a[x]<a[y];});
sort(a,a+n);
for(int i=0;i<n;i++)rk[be[i]]=i;
for(int i=0,u,v;i<m;i++)scanf("%d%d",&u,&v),u=rk[u-1],v=rk[v-1],A[u][v]=A[v][u]=1;
for(int s=0;s<(1<<n);s++){
for(int i=0;i<n;i++)if((s>>i)&1)for(int j=i+1;j<n;j++)if((s>>j)&1)if(A[i][j])ct[s]++;
for(int i=0;i<=n;i++)if(!((s>>i)&1)){fi[s]=i;break;}
if(s)pp[s]=pp[s>>1]+(s&1);
}
zp[0]=1;
for(int s=1;s<(1<<n);s++){
zp[s]=(ct[s]?0:1);int x=(s&-s);
for(int s2=s&(s-1);s2;s2=(s2-1)&s)if(s2&x){
if(ct[s^s2])continue;
ad(zp[s],-zp[s2]);
}
}
for(int i=0;i<=n;i++)ts[i]=((1<<(n-i))-1)<<i;
dp[0][0]=1;
for(int i=0;i<n;i++)for(int s=0;s<(1<<n);s++)if(dp[s][i]){
int S=ts[i];
S^=(S&s);
for(int s2=S;s2;s2=(s2-1)&S)if((s2>>i)&1){
int j=fi[((1<<i)-1)|s2|s],s_=s|s2;
s_^=(s_&jk(i,j-1));
if(pp[s2]&1)ad(dp[s_|(1<<i)][j],dp[s][i]*zp[s2]);
else ad(dp[s_][j],dp[s][i]*zp[s2]%mod*((a[i]+1)%mod));
}
}
ll ans=0;
for(int s=0;s<(1<<n);s++)if(dp[s][n]){
vector<ll>X;for(int i=0;i<n;i++)if((s>>i)&1)X.pb(a[i]);
ad(ans,dp[s][n]*cal(X));
}
return printf("%lld",ans),0;
}
詳細信息
Subtask #1:
score: 20
Accepted
Test #1:
score: 20
Accepted
time: 1ms
memory: 3888kb
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: 0ms
memory: 4120kb
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: 3864kb
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: 3828kb
input:
4 0 4 9 8 5 2
output:
148
result:
ok 1 number(s): "148"
Test #5:
score: 0
Accepted
time: 0ms
memory: 4140kb
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: 3820kb
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: 3772kb
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: 3840kb
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: 3796kb
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: 3888kb
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: 3796kb
input:
3 0 3 15 7 12
output:
104
result:
ok 1 number(s): "104"
Test #12:
score: 0
Accepted
time: 0ms
memory: 3796kb
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: 0ms
memory: 3908kb
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: 3832kb
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: 4132kb
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: 50
Accepted
time: 1ms
memory: 3896kb
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:
5392583
result:
ok 1 number(s): "5392583"
Test #17:
score: 0
Accepted
time: 0ms
memory: 3912kb
input:
9 7 788762650337246371 605340092851479114 625896945107761227 361131331380167081 572133549445050458 929899192003968010 340514051531987427 690728985364969400 268762741220048006 818120252827139346 5 8 9 6 6 1 1 9 9 8 5 1 4 5
output:
35237078
result:
ok 1 number(s): "35237078"
Test #18:
score: 0
Accepted
time: 1ms
memory: 3844kb
input:
7 8 968166787047166534 945734997493219809 465616677643913237 530128109571749460 717120283671096308 118646732725835921 510958884109370001 797022604947155276 5 2 4 7 1 2 6 5 4 2 4 6 1 6 6 3
output:
133871438
result:
ok 1 number(s): "133871438"
Test #19:
score: 0
Accepted
time: 3ms
memory: 4456kb
input:
12 21 341964498832651322 422448536649714733 488538974423366199 893293448611252565 879334133559023407 13516625885288091 43377983230712374 263189254162337644 474056776923289355 540904774976211471 103364876621830299 515157013276720499 213857038587555252 12 9 8 3 1 9 1 7 3 1 8 11 11 10 6 10 6 1 10 2 7 9...
output:
296076062
result:
ok 1 number(s): "296076062"
Test #20:
score: -50
Wrong Answer
time: 2ms
memory: 4084kb
input:
11 42 215284372701527433 670445786006000260 969876209382224733 248721347029697734 375741447316879814 840434941395805804 187091598433077755 126574401069916039 764298539206353847 750906714570719526 387387869969339518 713140316419888823 1 10 2 5 1 7 4 11 3 11 2 7 4 5 9 5 1 6 3 4 10 9 11 9 3 7 2 1 8 11 ...
output:
-137125763
result:
wrong answer 1st numbers differ - expected: '861118590', found: '-137125763'
Subtask #3:
score: 10
Accepted
Test #47:
score: 10
Accepted
time: 9ms
memory: 6560kb
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: 4388kb
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: 3892kb
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: 4272kb
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%