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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#720914 | #9141. Array Spread | huaxiamengjin | RE | 0ms | 0kb | C++14 | 2.8kb | 2024-11-07 14:41:14 | 2024-11-07 14:41:14 |
answer
#include<bits/stdc++.h>
using namespace std;
constexpr int M=6005,mod=998244353;
int n,m,l[M],r[M],mn[M][M],mx[M][M];
struct info{int p,q;
bool operator <(const info &a) const
{return 1ll*p*a.q<1ll*a.p*q;}
}ans;
int tot,a[M];
int qpow(int x,int n){
int s=1; while (n){
if (n&1) s=1ll*s*x%mod;
x=1ll*x*x%mod; n>>=1;
} return s;
}
int test,TT;
pair<int,int>b[100100];
vector<int>g[100100];
int f[100100];
void solve(){
test++;
cin>>n>>m;ans={1,1};tot=0;
for (int i=1;i<=m;i++) {
cin>>l[i]>>r[i],a[++tot]=l[i],a[++tot]=r[i],a[++tot]=r[i]-1;
}
sort(a+1,a+tot+1);
tot=unique(a+1,a+tot+1)-a-1;
for (int i=1;i<=tot;i++)
g[i].clear();
for (int i=1;i<=m;i++)
l[i]=lower_bound(a+1,a+tot+1,l[i])-a,
r[i]=lower_bound(a+1,a+tot+1,r[i])-a,
g[r[i]].push_back(l[i]);
n=tot;
// cout<<tot<<"******\n";
for (int i=0;i<=n+1;i++)
for (int j=0;j<=n+1;j++)
mn[i][j]=0x3f3f3f3f,mx[i][j]=0;
for (int i=1;i<=m;i++)
mx[l[i]][r[i]]=mn[l[i]][r[i]]=1;
for (int len=n-1;len;len--){
for (int l=1;l+len-1<=n;l++){
int r=l+len-1;
mn[l][r]=min(mn[l][r],min(mn[l][r+1],mn[l-1][r]));
}
}
for (int l=n;l;l--){
int st=0;
for (int r=l;r<=n;r++){
mx[l][r]=mx[l][r-1];
for (auto k:g[r])if(k>=l){
mx[l][r]=max(mx[l][r],max(mx[l][k-1],mx[l][k-1])+1);
if(a[k-1]+1==a[k])mn[l][r]=min(mn[l][r],mn[l][k-1]+1);
else {
int tmp=lower_bound(b+1,b+st+1,make_pair(k,0))-b;
// cout<<l<<"***"<<r<<" "<<k<<" "<<b[tmp].first<<"\n";
if(tmp<=st&&tmp>=1)mn[l][r]=min(mn[l][r],b[tmp].second+1);
}
}
while(st&&mn[l][r]<=b[st].second)st--;
b[++st]=make_pair(r,mn[l][r]);
}
for (int r=n-1;r>=l;r--)mn[l][r]=min(mn[l][r+1],mn[l][r]);
}
for (int i=1;i<=n;i++)
for (int j=i;j<=n;j++){
// cout<<i<<" "<<j<<" "<<mx[i][j]<<" "<<mn[i][j]<<"\n";
if (mx[i][j])
ans=max(ans,{mx[i][j],mn[i][j]});
}
if(ans.p==1&&ans.q==1){
f[0]=1;
for (int i=1;i<=n+1;i++){
int rs=a[i]-1,ls=0;f[i]=0;
for (int j=1;j<=m;j++)
if(r[j]>=i)rs=min(rs,a[l[j]]-1);
for (int j=i-1;a[j]>=ls;j--){
for (auto k:g[j])ls=max(ls,a[k]);
if(rs>=a[j])f[i]|=f[j];
}
}
if(f[n+1]==0)ans={3,2};
}
cout<<1ll*ans.p*qpow(ans.q,mod-2)%mod<<'\n';
}
int main(){
ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int T;cin>>T;TT=T;
while (T--) solve();return 0;
}
Details
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Test #1:
score: 0
Runtime Error
input:
3 3 3 1 3 2 3 1 2 12 6 2 3 5 7 1 9 4 8 1 2 7 11 4 5 3 4 2 3 1 2 4 4 1 1