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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#866757#9870. ItemsChiFANWA 11ms3712kbC++142.6kb2025-01-22 18:18:572025-01-22 18:19:07

Judging History

你现在查看的是最新测评结果

  • [2025-01-22 18:19:07]
  • 评测
  • 测评结果:WA
  • 用时:11ms
  • 内存:3712kb
  • [2025-01-22 18:18:57]
  • 提交

answer

#include<bits/stdc++.h>
#define int long long
const int mod = 998244353;
const int G = 3;
using namespace std;
const int maxn = 1e5+114;
int n,lim;
int T;
int k,w[maxn],m;
int C;//m%k
//[-2k,2k+1) -> [0,4k+1)
int qpow(int a,int b){
    if(b==0) return 1;
    if(b==1) return a;
    int res=qpow(a,b/2);
    res=res*res%mod;
    if(b%2==1) res=res*a%mod;
    return res;
}
mt19937 rd(time(0));
vector<int> solve(int a){
    vector<int> res;
    res.resize(4*k+1);
    if(a==0){
        res[2*k]=rd()%(mod/2)+1;
        return res; 
    }
    if(a==1){
        for(int i=1;i<=k;i++) res[w[i]+2*k]=rd()%(mod/2)+1;
        return res;
    }
    res=solve(a/2);
    for(int i=0;i<res.size();i++){
        if(res[i]!=0) res[i]=rd()%(mod/2)+1;
    }
    //[0,8k+1) [-4k,4k+1) [-2k,2k+1)
    //res = res*res [0,8k+1) -> [2k,6k+1)
    vector<int> f=res;
    vector<int> g;
    vector<int> r;
    n=1,lim=0;
    while(n<8*k+1) n<<=1,lim++;
    r.resize(n);
    f.resize(n);
    g.resize(n);
    if(a%2==1){
        for(int i=1;i<=k;i++) g[w[i]+2*k]=1;
    }else g[2*k]=1;
    for(int i=1;i<n;i++) r[i]=((r[i>>1]>>1)|((i&1)<<(lim-1)));
    for(int i=0;i<n;i++){
        if(i<r[i]) swap(f[i],f[r[i]]),swap(g[i],g[r[i]]);
    }
    for(int len=2,k=1;len<=n;len<<=1,k<<=1){
        int Wn=qpow(G,(mod-1)/len);
        for(int i=0;i<n;i+=len){
            for(int j=0,w=1;j<k;j++,w=w*Wn%mod){
                int x=f[i+j],y=f[i+j+k]*w%mod;
                f[i+j]=(x+y)%mod;
                f[i+j+k]=(x+mod-y)%mod;
                x=g[i+j],y=g[i+j+k]*w%mod;
                g[i+j]=(x+y)%mod;
                g[i+j+k]=(x+mod-y)%mod;
            }
        }
    }
    for(int i=0;i<n;i++) f[i]=f[i]*f[i]%mod*g[i]%mod;
    for(int i=0;i<n;i++){
        if(i<r[i]) swap(f[i],f[r[i]]);
    }
    for(int len=2,k=1;len<=n;len<<=1,k<<=1){
        int Wn=qpow(qpow(G,mod-2),(mod-1)/len);
        for(int i=0;i<n;i+=len){
            for(int j=0,w=1;j<k;j++,w=w*Wn%mod){
                int x=f[i+j],y=f[i+j+k]*w%mod;
                f[i+j]=(x+y)%mod;
                f[i+j+k]=(x+mod-y)%mod;
            }
        }
    }
    int inv=qpow(n,mod-2);
    for(int i=0;i<n;i++) f[i]=f[i]*inv%mod;
    //f[2k] to f[6k]
    return res;
}
void work(){
    cin>>k>>m;
    for(int i=1;i<=k;i++){
        cin>>w[i];
        w[i]-=(m/k);
    }   
    m-=(m/k)*k;
    vector<int> dp=solve(k);
    cout<<(dp[m+2*k]!=0?"Yes\n":"No\n");
    return ;
}
signed main(){
    ios::sync_with_stdio(0);
    cin.tie(0),cout.tie(0);
    int t;
    cin>>t;
    while(t--) work();
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3712kb

input:

4
5 25
0 0 0 0 5
5 11
4 4 4 5 5
5 0
1 2 3 4 5
5 25
0 1 2 3 4

output:

Yes
No
No
No

result:

ok 4 token(s): yes count is 1, no count is 3

Test #2:

score: -100
Wrong Answer
time: 11ms
memory: 3712kb

input:

1314
1 0
0
1 0
1
1 1
0
1 1
1
2 0
0 0
2 0
0 1
2 0
0 2
2 0
1 0
2 0
1 1
2 0
1 2
2 0
2 0
2 0
2 1
2 0
2 2
2 1
0 0
2 1
0 1
2 1
0 2
2 1
1 0
2 1
1 1
2 1
1 2
2 1
2 0
2 1
2 1
2 1
2 2
2 2
0 0
2 2
0 1
2 2
0 2
2 2
1 0
2 2
1 1
2 2
1 2
2 2
2 0
2 2
2 1
2 2
2 2
2 3
0 0
2 3
0 1
2 3
0 2
2 3
1 0
2 3
1 1
2 3
1 2
2 3
2 0...

output:

Yes
No
No
Yes
Yes
Yes
Yes
Yes
No
No
Yes
No
No
No
Yes
No
Yes
Yes
Yes
No
Yes
No
No
Yes
No
Yes
Yes
Yes
No
Yes
No
No
No
Yes
No
No
Yes
Yes
Yes
Yes
No
No
Yes
No
No
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
No
No
No
Yes
No
No
No
Yes
No
No
No
Yes
Yes...

result:

wrong answer expected NO, found YES [18th token]