oj.uz

Submission #99030

# Submission time Handle Problem Language Result Execution time Memory
99030 2019-02-28T06:51:14 Z arman_ferdous Building Bridges (CEOI17_building) C++17
100 / 100
 143 ms 67396 KB 
#include <bits/stdc++.h>
using namespace std;

using ll = long long;
const int N = 1e5+100;
const int MAX = 1e6+100;
const ll inf = 1e18;

struct LiChao{
	struct pt{ ll m, c; };
	ll eval(pt p, ll x) { return p.m * x + p.c; }

	pt t[MAX<<2];
	LiChao() { for(int i = 0; i < (MAX<<2); i++) t[i] = {0,inf}; }
	
	void insert(int v, int l, int r, pt nw) {
	    int m = (l + r) / 2;
	    bool lef = eval(nw, l) < eval(t[v], l);
	    bool mid = eval(nw, m) < eval(t[v], m);
	    if(mid) {
	        swap(t[v], nw);
	    }
	    if(r - l == 1) {
	        return;
	    } else if(lef != mid) {
	        insert(2 * v, l, m, nw);
	    } else {
	        insert(2 * v + 1, m, r, nw);
	    }
	}
	ll get(int v, int l, int r, ll x) {
	    int m = (l + r) / 2;
	    if(r - l == 1) {
	        return eval(t[v], x);
	    } else if(x < m) {
	        return min(eval(t[v], x), get(2 * v, l, m, x));
	    } else {
	        return min(eval(t[v], x), get(2 * v + 1, m, r, x));
	    }
	}
}ds;

int n;
ll h[N], w[N], S[N], dp[N];

int main() {
	scanf("%d", &n);
	for(int i = 1; i <= n; i++)
		scanf("%lld", &h[i]);
	for(int i = 1; i <= n; i++) {
		scanf("%lld", &w[i]);
		S[i] = S[i-1] + w[i];
	}
	dp[1] = 0;
	ds.insert(1, 0, MAX-1, {-2ll*h[1], h[1]*h[1] - S[1]});
	for(int i = 2; i <= n; i++) {
		ll got = ds.get(1, 0, MAX-1, h[i]);
		dp[i] = got + h[i] * h[i] + S[i-1];
		ds.insert(1, 0, MAX-1, {-2ll*h[i], dp[i] - S[i] + h[i] * h[i]});
	}
	printf("%lld\n", dp[n]);
	return 0;
}

Compilation message

building.cpp: In function 'int main()':
building.cpp:47:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d", &n);
  ~~~~~^~~~~~~~~~
building.cpp:49:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%lld", &h[i]);
   ~~~~~^~~~~~~~~~~~~~~
building.cpp:51:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%lld", &w[i]);
   ~~~~~^~~~~~~~~~~~~~~

Subtask #1
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 48 ms 63096 KB Output is correct
2 Correct 52 ms 62968 KB Output is correct
3 Correct 51 ms 63096 KB Output is correct
4 Correct 55 ms 62968 KB Output is correct
5 Correct 61 ms 62968 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 129 ms 66040 KB Output is correct
2 Correct 122 ms 67192 KB Output is correct
3 Correct 126 ms 67196 KB Output is correct
4 Correct 103 ms 67064 KB Output is correct
5 Correct 102 ms 67064 KB Output is correct

Subtask #3
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 48 ms 63096 KB Output is correct
2 Correct 52 ms 62968 KB Output is correct
3 Correct 51 ms 63096 KB Output is correct
4 Correct 55 ms 62968 KB Output is correct
5 Correct 61 ms 62968 KB Output is correct
6 Correct 129 ms 66040 KB Output is correct
7 Correct 122 ms 67192 KB Output is correct
8 Correct 126 ms 67196 KB Output is correct
9 Correct 103 ms 67064 KB Output is correct
10 Correct 102 ms 67064 KB Output is correct
11 Correct 127 ms 67364 KB Output is correct
12 Correct 133 ms 67136 KB Output is correct
13 Correct 99 ms 67192 KB Output is correct
14 Correct 143 ms 67396 KB Output is correct
15 Correct 107 ms 67096 KB Output is correct
16 Correct 138 ms 67128 KB Output is correct
17 Correct 119 ms 67192 KB Output is correct
18 Correct 92 ms 67192 KB Output is correct