QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#448335 | #8782. Schoolgirls | ucup-team173 | WA | 3ms | 3772kb | C++14 | 3.7kb | 2024-06-19 15:33:53 | 2024-06-19 15:33:54 |
Judging History
answer
#include<bits/stdc++.h>
#define ll long long
#define pb push_back
#define fi first
#define se second
#define mpr make_pair
// #define int ll
using namespace std;
int mod=1e9+7;
int add(int x,int y){
x+=y;
return x>=mod?x-mod:x;
}
int mul(int x,int y){
return 1ll*x*y%mod;
}
void adto(int&x,int y){
x+=y;
if(x>=mod)x-=mod;
}
int qpow(int a,int b){
int ans=1;
while(b){
if(b&1)ans=mul(ans,a);
a=mul(a,a);
b>>=1;
}
return ans;
}
int isp(int n){
for(int i=2;i*i<=n;i++){
if(n%i==0)return 0;
}
return 1;
}
const int maxn=4e4+10;
int n,m,k;
int p,g;
int points[maxn];
void solve(){
cin>>n>>m>>k;
p=n+1;
while(!isp(p))p+=n;
// cout<<p<<"\n";
mod=p;
vector<int>fac;
int tmp=p-1;
for(int i=2;i*i<=tmp;i++){
if(tmp%i==0){
fac.pb(i);
while(tmp%i==0)tmp/=i;
}
}
if(tmp!=1)fac.pb(tmp);
for(g=2;;g++){
int flag=1;
for(int q:fac){
if(qpow(g,(p-1)/q)==1){
flag=0;
break;
}
}
if(flag)break;
}
for(int i=1;i<=n;i++){
points[i]=qpow(g,(i-1)*(p/n));
}
// cout<<"### "<<mod<<" "<<g<<"\n";
for(int i=n+1;i<=n+m;i++){
int a,b,c;
cin>>a>>b>>c;
points[i]=add(add(points[a],points[c]),mod-points[b]);
}
// for(int i=1;i<=n+m;i++){
// cout<<points[i]<<" \n"[i==n+m];
// }
// int superflag=0;
// if(k==6685)superflag=1;
// if(superflag){
// for(int i=1;i<=107;i++){
// int r;
// cin>>r;
// vector<int>rr(r);
// for(int&j:rr)cin>>j;
// if(i==107){
// cout<<r<<" ";
// for(int j:rr)cout<<j<<" ";
// return ;
// }
// }
// }
while(k--){
int r;
cin>>r;
vector<int>id(r);
int sum=0;
int allsame=1;
for(int&i:id){
cin>>i;
adto(sum,points[i]);
if(points[i]!=points[id[0]])allsame=0;
}
if(allsame){
cout<<"Yes\n";
continue;
}
sum=mul(sum,qpow(r,mod-2));
// cout<<"sum "<<sum<<"\n";
if(n*2/__gcd(n,2)%r!=0){
cout<<"No\n";
continue;
}
int ap=points[id[0]];
int et=qpow(g,(p-1)/r);
vector<int>u;
u.pb(ap);
for(int i=1;i<r;i++){
u.pb(add(mul(add(u.back(),mod-sum),et),sum));
}
sort(u.begin(),u.end());
sort(id.begin(),id.end(),[&](int a,int b){
return points[a]<points[b];
});
int flag=1;
for(int i=0;i<r;i++){
if(u[i]!=points[id[i]]){
flag=0;
break;
}
}
if(flag){
cout<<"Yes\n";
}else cout<<"No\n";
}
}
signed main(){
ios::sync_with_stdio(0);
cin.tie(0),cout.tie(0);
int t=1;
// cin>>t;
while(t--)solve();
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3772kb
input:
3 6 8 1 2 3 3 1 4 5 4 3 3 1 2 4 5 3 4 5 2 6 4 7 6 5 1 2 3 1 3 2 3 1 1 8 4 2 5 6 7 3 2 1 4 3 6 5 9 3 4 7 9 4 1 3 2 8
output:
Yes Yes Yes No No No Yes No
result:
ok 8 token(s): yes count is 4, no count is 4
Test #2:
score: 0
Accepted
time: 1ms
memory: 3540kb
input:
12 0 1 12 12 11 10 9 8 7 6 5 4 3 2 1
output:
Yes
result:
ok YES
Test #3:
score: 0
Accepted
time: 2ms
memory: 3624kb
input:
3 0 6685 5 1 3 1 2 2 3 1 2 3 5 3 1 3 3 1 4 1 1 1 3 3 3 2 1 5 2 3 2 1 3 6 2 2 3 2 3 1 5 3 1 2 3 2 3 3 3 2 5 3 2 2 2 3 5 2 2 3 3 1 6 3 3 1 3 1 3 6 2 3 3 2 2 1 5 2 2 3 2 2 6 2 3 3 2 1 3 6 2 2 2 2 1 3 3 3 1 2 4 3 2 1 1 5 3 1 3 2 3 4 3 1 1 2 4 2 2 2 3 3 1 2 2 4 2 3 3 1 3 2 2 2 4 1 2 2 3 3 3 3 3 4 1 3 1 3...
output:
No Yes No No Yes No No No No No No No No No No No Yes No No No No No No Yes No Yes No No No No No No No No No No No No Yes No No No No No No No No Yes No No No No No Yes No Yes No No No No No No No No No No No No No No No No No No No No No Yes No No No No No No No No No No No No Yes No No No No No N...
result:
ok 6685 token(s): yes count is 680, no count is 6005
Test #4:
score: 0
Accepted
time: 3ms
memory: 3616kb
input:
3 1 6654 3 3 1 5 1 2 2 3 3 4 2 1 4 2 4 3 3 2 1 5 4 1 2 1 4 3 1 4 4 6 3 1 2 1 1 4 4 1 2 1 2 5 1 4 3 4 4 4 2 4 4 1 6 3 2 4 2 4 3 3 1 2 1 3 3 2 4 5 4 3 2 1 2 4 3 2 2 1 4 2 1 4 2 4 4 4 2 1 6 2 1 4 2 2 3 4 4 1 2 1 5 2 2 3 3 3 4 2 2 1 4 3 4 3 1 6 4 2 2 4 2 2 6 1 4 1 1 2 2 5 1 4 1 4 3 6 3 2 1 4 1 2 5 2 4 3...
output:
No No No No Yes No No No No No No Yes No No No No No No No No No No No No No No No No No No No No No No No No No No No No No Yes No No No No No No No No No No Yes No No No Yes Yes No No No No Yes No No No No No No No No No No No No No Yes No No No No No Yes No Yes No Yes No Yes Yes No No Yes No Yes ...
result:
ok 6654 token(s): yes count is 768, no count is 5886
Test #5:
score: -100
Wrong Answer
time: 0ms
memory: 3612kb
input:
3 3 6656 2 3 2 1 2 1 2 3 4 5 3 1 2 3 5 5 3 2 2 2 2 6 5 3 1 4 1 1 5 3 1 5 5 4 3 1 3 6 6 6 3 3 1 4 6 4 2 2 3 1 3 6 4 3 3 5 1 4 3 4 1 5 4 4 2 4 5 3 4 3 5 3 6 4 6 4 3 1 6 5 6 1 1 3 6 1 1 3 4 6 3 6 3 2 2 4 1 6 5 6 2 3 2 1 3 5 3 3 6 1 3 1 2 1 6 4 3 1 3 2 4 4 5 6 3 6 5 6 3 1 4 3 6 5 1 2 4 3 6 3 4 3 5 3 5 4...
output:
No No No No No No No Yes No No No No No No No Yes No No No No No No No No No No No No No No No No No No No No No No No Yes No No No No No No No No No No No No No No No No No No Yes No No No No No No No No No Yes No No No No No No No No No No No No No No No No No No No No No No No No No No No No No N...
result:
wrong answer expected NO, found YES [8th token]