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Submission #694074

# Submission time Handle Problem Language Result Execution time Memory
694074 2023-02-03T17:24:54 Z PoonYaPat Building Bridges (CEOI17_building) C++14
100 / 100
 78 ms 69492 KB 
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;

struct line {
    ll slope,con;
} s[1<<22];

ll f(line a, ll x) {
    return a.slope*x+a.con;
}

int n,mx=1000000;
ll h[100001],w[100001],sum,dp[100001];

void add(line a, int l, int r, int idx) {
    int mid=(l+r)/2;
    bool m = f(a,mid) < f(s[idx],mid);
    bool lef = f(a,l) < f(s[idx],l);

    if (m) swap(s[idx],a);

    if (r-l==1) return;
    else if (lef!=m) add(a,l,mid,2*idx);
    else add(a,mid,r,2*idx+1);
}

ll query(int l, int r, int idx, int x) {
    int m=(l+r)/2;
    if (r-l==1) return f(s[idx],x);
    else if (x<m) return min(f(s[idx],x),query(l,m,2*idx,x));
    else return min(f(s[idx],x),query(m,r,2*idx+1,x));
}

int main() {
    ios_base::sync_with_stdio(0); cin.tie(0);
    cin>>n;
    for (int i=1; i<=n; ++i) cin>>h[i];
    for (int i=1; i<=n; ++i) cin>>w[i], sum+=w[i];

    dp[1]=-w[1];
    for (int i=0; i<(1<<22); ++i) s[i]={-2*h[1],dp[1]+h[1]*h[1]};
    for (int i=2; i<=n; ++i) {
        dp[i]=query(0,mx,1,h[i])+h[i]*h[i]-w[i];
        add({-2*h[i],dp[i]+h[i]*h[i]},0,mx,1);
    }
    cout<<dp[n]+sum;
}

Subtask #1
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 26 ms 66004 KB Output is correct
2 Correct 27 ms 65884 KB Output is correct
3 Correct 26 ms 65868 KB Output is correct
4 Correct 27 ms 65996 KB Output is correct
5 Correct 26 ms 65956 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 75 ms 69352 KB Output is correct
2 Correct 68 ms 69292 KB Output is correct
3 Correct 66 ms 69324 KB Output is correct
4 Correct 62 ms 69128 KB Output is correct
5 Correct 61 ms 69176 KB Output is correct

Subtask #3
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 26 ms 66004 KB Output is correct
2 Correct 27 ms 65884 KB Output is correct
3 Correct 26 ms 65868 KB Output is correct
4 Correct 27 ms 65996 KB Output is correct
5 Correct 26 ms 65956 KB Output is correct
6 Correct 75 ms 69352 KB Output is correct
7 Correct 68 ms 69292 KB Output is correct
8 Correct 66 ms 69324 KB Output is correct
9 Correct 62 ms 69128 KB Output is correct
10 Correct 61 ms 69176 KB Output is correct
11 Correct 78 ms 69492 KB Output is correct
12 Correct 70 ms 69232 KB Output is correct
13 Correct 64 ms 69324 KB Output is correct
14 Correct 71 ms 69448 KB Output is correct
15 Correct 59 ms 69172 KB Output is correct
16 Correct 60 ms 69184 KB Output is correct
17 Correct 54 ms 69324 KB Output is correct
18 Correct 55 ms 69308 KB Output is correct