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Submission #608900

# Submission time Handle Problem Language Result Execution time Memory
608900 2022-07-27T11:05:02 Z OttoTheDino Building Bridges (CEOI17_building) C++17
100 / 100
 51 ms 5612 KB 
#include <bits/stdc++.h>
using namespace std;

#define rep(i,s,e)                  for (int i = s; i <= e; ++i)
typedef long long ll;

const ll mx = 1e6;

ll seg[4*mx+1], h[mx+1], w[mx+1], dp[mx+1];

void upd (ll u, ll bl, ll br, ll id) {
    if (!seg[id]) {
        seg[id] = u;
        return;
    }
    ll mid = (bl+br)/2;
    if (dp[u]-2*h[u]*mid<dp[seg[id]]-2*h[seg[id]]*mid) swap (seg[id], u);
    if (bl==br) return;
    if (-2*h[u]<-2*h[seg[id]]) upd (u, mid+1, br, 2*id+1);
    else if (-2*h[u]>-2*h[seg[id]]) upd (u, bl, mid, 2*id);
}

ll qry (ll x, ll bl, ll br, ll id) {
    if (!seg[id]) return 1e18;
    if (bl==br) return dp[seg[id]] - 2*h[seg[id]]*x;
    ll mid = (bl+br)/2;
    if (x<=mid) return min(dp[seg[id]]-2*h[seg[id]]*x, qry(x, bl, mid, 2*id));
    return min(dp[seg[id]]-2*h[seg[id]]*x, qry(x, mid+1, br, 2*id+1));
}

int main() {
    ios::sync_with_stdio(0);
    cin.tie(0);

    ll n, s = 0;
    cin >> n;

    rep (i,1,n) cin >> h[i];
    rep (i,1,n) {
        cin >> w[i];
        s += w[i];
    }

    dp[1] = h[1]*h[1]-w[1];

    upd (1, 0, mx, 1); 

    rep (i,2,n) {
        dp[i] = qry (h[i], 0, mx, 1) + h[i]*h[i]-w[i];

        if (i==n) cout << s+dp[n] << "\n";

        else {
            dp[i] += h[i]*h[i];
            upd (i, 1, mx, 1); 
        }
    }

    return 0;
}

Subtask #1
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 324 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 1 ms 468 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 49 ms 3580 KB Output is correct
2 Correct 42 ms 3928 KB Output is correct
3 Correct 44 ms 3800 KB Output is correct
4 Correct 51 ms 3632 KB Output is correct
5 Correct 27 ms 5196 KB Output is correct

Subtask #3
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 324 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 49 ms 3580 KB Output is correct
7 Correct 42 ms 3928 KB Output is correct
8 Correct 44 ms 3800 KB Output is correct
9 Correct 51 ms 3632 KB Output is correct
10 Correct 27 ms 5196 KB Output is correct
11 Correct 49 ms 5572 KB Output is correct
12 Correct 49 ms 5436 KB Output is correct
13 Correct 44 ms 4204 KB Output is correct
14 Correct 48 ms 5612 KB Output is correct
15 Correct 29 ms 5196 KB Output is correct
16 Correct 36 ms 5196 KB Output is correct
17 Correct 15 ms 3668 KB Output is correct
18 Correct 16 ms 3688 KB Output is correct