oj.uz

Submission #1078749

# Submission time Handle Problem Language Result Execution time Memory
1078749 2024-08-28T05:45:21 Z vjudge1 Building Bridges (CEOI17_building) C++17
100 / 100
 55 ms 36436 KB 
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
#define int long long
struct {
    struct line{
        int K;
        ll B;
        line(int k,ll b){
            K=k,B=b;
        }
        line(){
            K=0;
            B=1e18;
        }
        inline ll operator()(int x){
            return K*x+B;
        }
    } T[1<<21];
    void update(int i,int l,int r,line s){
        if(T[i].B==1e18) return void(T[i]=s);
        if(l==r-1){
            if(s(l)<T[i](l))
                swap(s,T[i]);
            return;
        }
        if(s.K<T[i].K)
            swap(s,T[i]);
        int mid=l+r>>1;
        if(s(mid) < T[i](mid))
            swap(s,T[i]),update(i*2+1,mid,r,s);
        else update(i*2,l,mid,s);
    }
    ll query(int i,int l,int r,int p){
        if(T[i].B==1e18)
            return 1e18;
        if(l==r-1)
            return T[i](p);
        if(p<l+r>>1)
            return min(T[i](p),query(i*2,l,l+r>>1,p));
        else return min(T[i](p),query(i*2+1,l+r>>1,r,p));
    }
    void add_line(int k,ll b){
        update(1,-1,1e6+1,line(k,b));
    }
    ll calc_best(int pos){
        return query(1,-1,1e6+1,pos);
    }
} lichao;
ll h[100100],w[100100],dp[100100];
void update_dp(int i){
    lichao.add_line(-2*h[i],h[i]*h[i]-w[i]+dp[i]);
}
signed main(){
    cin.tie(0)->sync_with_stdio(0);
    int n;
    cin>>n;
    for(int i=1;i<=n;i++)
        cin>>h[i];
    for(int i=1;i<=n;i++)
        cin>>w[i];
    for(int i=2;i<=n;i++){
        update_dp(i-1);
        w[i]+=w[i-1];
        dp[i]=lichao.calc_best(h[i])+h[i]*h[i]+w[i-1];
    }
    cout<<dp[n]<<'\n';
}

Compilation message

building.cpp: In member function 'void<unnamed struct>::update(long long int, long long int, long long int, <unnamed struct>::line)':
building.cpp:29:18: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   29 |         int mid=l+r>>1;
      |                 ~^~
building.cpp: In member function 'll<unnamed struct>::query(long long int, long long int, long long int, long long int)':
building.cpp:39:15: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   39 |         if(p<l+r>>1)
      |              ~^~
building.cpp:40:45: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   40 |             return min(T[i](p),query(i*2,l,l+r>>1,p));
      |                                            ~^~
building.cpp:41:46: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   41 |         else return min(T[i](p),query(i*2+1,l+r>>1,r,p));
      |                                             ~^~

Subtask #1
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 33116 KB Output is correct
2 Correct 14 ms 33116 KB Output is correct
3 Correct 14 ms 33140 KB Output is correct
4 Correct 14 ms 33116 KB Output is correct
5 Correct 14 ms 33328 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 55 ms 36180 KB Output is correct
2 Correct 47 ms 36232 KB Output is correct
3 Correct 44 ms 36176 KB Output is correct
4 Correct 42 ms 36180 KB Output is correct
5 Correct 34 ms 36324 KB Output is correct

Subtask #3
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 33116 KB Output is correct
2 Correct 14 ms 33116 KB Output is correct
3 Correct 14 ms 33140 KB Output is correct
4 Correct 14 ms 33116 KB Output is correct
5 Correct 14 ms 33328 KB Output is correct
6 Correct 55 ms 36180 KB Output is correct
7 Correct 47 ms 36232 KB Output is correct
8 Correct 44 ms 36176 KB Output is correct
9 Correct 42 ms 36180 KB Output is correct
10 Correct 34 ms 36324 KB Output is correct
11 Correct 50 ms 36176 KB Output is correct
12 Correct 48 ms 36176 KB Output is correct
13 Correct 45 ms 36180 KB Output is correct
14 Correct 51 ms 36180 KB Output is correct
15 Correct 37 ms 36180 KB Output is correct
16 Correct 39 ms 36356 KB Output is correct
17 Correct 37 ms 36436 KB Output is correct
18 Correct 34 ms 36176 KB Output is correct