oj.uz

Submission #927933

# Submission time Handle Problem Language Result Execution time Memory
927933 2024-02-15T14:11:10 Z TAhmed33 Building Bridges (CEOI17_building) C++
100 / 100
 79 ms 35260 KB 
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define mid ((l + r) >> 1)
#define tl (node + 1)
#define tr (node + 2 * (mid - l + 1))
const int MAX = 1e6 + 25;
struct line {
  int m = 1e10, b = 1e12;
  int operator() (int x) { return m * x + b; }
};
vector <line> tree(MAX * 2);
void insert (int l, int r, line a, int node) {
  if (l == r) {
    if (tree[node](l) > a(l)) {
      tree[node] = a;
    }
    return;
  }
  if (tree[node].m > a.m) swap(tree[node], a);
  if (tree[node](mid) > a(mid)) {
    swap(tree[node], a);
    insert(mid + 1, r, a, tr);
  } else {
    insert(l, mid, a, tl);
  }
}
int get (int l, int r, int a, int node) {
  if (l == r) {
    return tree[node](a);
  }
  if (a <= mid) return min(tree[node](a), get(l, mid, a, tl));
  else return min(tree[node](a), get(mid + 1, r, a, tr));
}
int n;
const int MAXN = 1e5 + 25;
int a[MAXN], b[MAXN];
int dp[MAXN];
signed main () {
	cin >> n;
	for (int i = 1; i <= n; i++) cin >> a[i];
	for (int i = 1; i <= n; i++) {
		cin >> b[i];
		b[i] += b[i - 1];
	}
	insert(0, MAX, {-2 * a[1], dp[1] + a[1] * a[1] - b[1]}, 1);
	for (int i = 2; i <= n; i++) {
		int val = get(0, MAX, a[i], 1);
		dp[i] += val + a[i] * a[i] + b[i - 1];
		insert(0, MAX, {-2 * a[i], dp[i] + a[i] * a[i] - b[i]}, 1);
	}
	cout << dp[n] << '\n';
}

Subtask #1
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 33624 KB Output is correct
2 Correct 7 ms 33628 KB Output is correct
3 Correct 6 ms 33624 KB Output is correct
4 Correct 7 ms 33628 KB Output is correct
5 Correct 6 ms 33628 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 63 ms 34948 KB Output is correct
2 Correct 66 ms 35116 KB Output is correct
3 Correct 63 ms 34900 KB Output is correct
4 Correct 60 ms 34784 KB Output is correct
5 Correct 55 ms 35156 KB Output is correct

Subtask #3
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 33624 KB Output is correct
2 Correct 7 ms 33628 KB Output is correct
3 Correct 6 ms 33624 KB Output is correct
4 Correct 7 ms 33628 KB Output is correct
5 Correct 6 ms 33628 KB Output is correct
6 Correct 63 ms 34948 KB Output is correct
7 Correct 66 ms 35116 KB Output is correct
8 Correct 63 ms 34900 KB Output is correct
9 Correct 60 ms 34784 KB Output is correct
10 Correct 55 ms 35156 KB Output is correct
11 Correct 72 ms 35152 KB Output is correct
12 Correct 68 ms 35056 KB Output is correct
13 Correct 64 ms 35160 KB Output is correct
14 Correct 79 ms 35260 KB Output is correct
15 Correct 54 ms 34944 KB Output is correct
16 Correct 55 ms 34928 KB Output is correct
17 Correct 53 ms 34932 KB Output is correct
18 Correct 52 ms 35152 KB Output is correct