Submission #1310592

#	Time	Username	Problem	Language	Result	Execution time	Memory
1310592		StefanSebez	Sails (IOI07_sails)	C++20	100 / 100	115 ms	25836 KiB

sails

#include<bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define pb push_back
#define ll long long
#define ld long double
#define mp make_pair
const int N=1e5+50,inf=1e9,lg=18;
const ll INF=1e18;
ll a[N+10],temp[N+10],res[N+10],pref[N+10];
struct Line{
    int k;ll n;
    ll operator()(ll x){return (ll)k*x+n;}
}line[N+10];
int nc,root[N+10],lc[N*lg],rc[N*lg],idx[N*lg];
void Update(int &c,int c1,int ss,int se,int i){
    c=++nc;lc[c]=lc[c1],rc[c]=rc[c1],idx[c]=idx[c1];
    if(!idx[c]){idx[c]=i;return;}
    int mid=ss+se>>1;
    if(line[idx[c]](mid)>line[i](mid))swap(idx[c],i);
    if(ss==se)return;
    if(line[idx[c]](ss)>=line[i](ss))Update(lc[c],lc[c1],ss,mid,i);
    else Update(rc[c],rc[c1],mid+1,se,i);
}
pair<ll,int>Get(int c,int ss,int se,int x){
    ll val=line[idx[c]](x);
    if(ss==se)return {val,idx[c]};
    int mid=ss+se>>1;
    if(x<=mid){
        auto [val1,i]=Get(lc[c],ss,mid,x);
        if(val<val1)return {val,idx[c]};
        return {val1,i};
    }
    else{
        auto [val1,i]=Get(rc[c],mid+1,se,x);
        if(val<val1)return {val,idx[c]};
        return {val1,i};
    }
}
int main(){
    int n;scanf("%i",&n);
    for(int i=1;i<=n;i++){
        int h,k;scanf("%i%i",&h,&k);
        temp[h-k+1]++,temp[h+1]--;
    }
    for(int i=1;i<=N;i++)a[i]=a[i-1]+temp[i];
    for(int i=1;i<=N;i++)pref[i]=pref[i-1]+a[i];
    line[0]={inf,inf};
    for(int i=N;i>=1;i--){
       line[i]={i,-pref[i]};
       Update(root[i],root[i+1],0,N,i);
    }
    for(ll i=1,prefres=0;i<=N;i++){
        int l=0,r=N;
        while(l<=r){
            int mid=l+r>>1;
            int ind=Get(root[i],0,N,mid).se;
            if((ind-i+1)*mid-pref[ind]+prefres>=0)res[i]=mid,r=mid-1;
            else l=mid+1;
        }
        prefres+=res[i];
    }
    ll ans=0;
    for(int i=1;i<=N;i++)ans+=res[i]*(res[i]-1)>>1;
    printf("%lld\n",ans);
    return 0;
}

Compilation message (stderr)

sails.cpp: In function 'int main()':
sails.cpp:42:16: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   42 |     int n;scanf("%i",&n);
      |           ~~~~~^~~~~~~~~
sails.cpp:44:22: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   44 |         int h,k;scanf("%i%i",&h,&k);
      |                 ~~~~~^~~~~~~~~~~~~~

• Subtask 1: 5 / 5
• Subtask 2: 10 / 10
• Subtask 3: 10 / 10
• Subtask 4: 5 / 5
• Subtask 5: 10 / 10
• Subtask 6: 10 / 10
• Subtask 7: 10 / 10
• Subtask 8: 10 / 10
• Subtask 9: 10 / 10
• Subtask 10: 10 / 10
• Subtask 11: 10 / 10