Submission #543392

# Submission time Handle Problem Language Result Execution time Memory
543392 2022-03-30T13:15:01 Z fcw Feast (NOI19_feast) C++17
71 / 100
655 ms 12012 KB
#include <bits/stdc++.h>
#define st first
#define nd second
using lint = int64_t;
constexpr int mod = int(1e9) + 7;
constexpr int inf = 0x3f3f3f3f;
constexpr int ninf = 0xcfcfcfcf;
constexpr lint linf = 0x3f3f3f3f3f3f3f3f;
const long double pi = acosl(-1.0);
// Returns -1 if a < b, 0 if a = b and 1 if a > b.
int cmp_double(double a, double b = 0, double eps = 1e-9) {
	return a + eps > b ? b + eps > a ? 0 : 1 : -1;
}
using namespace std;

const lint INF = 3.1e14;

int main() {
	cin.tie(nullptr)->sync_with_stdio(false);
	int n, k;
	cin>>n>>k;
	vector<lint>a(n);
	for(int i=0;i<n;i++) cin>>a[i];
	double lo = 0, hi = INF;
	for(int i=0;i<150;i++){
		double mid = (lo + hi) / 2;
		vector<array<pair<double, lint>, 2>>dp(n+1); 
		dp[0][0] = {0, 0}, dp[0][1] = {-INF, 0};
		for(int i=0;i<n;i++){
			dp[i+1][1] = max(make_pair(dp[i][1].st + a[i], dp[i][1].nd), 
					make_pair(dp[i][0].st + a[i] - mid, dp[i][0].nd + 1));
				
			dp[i+1][0] = max(dp[i][0], dp[i][1]);	
		}
		if(max(dp[n][0], dp[n][1]).nd >= k) lo = mid;
		else hi = mid; 
	}
	double mid = hi;
	vector<array<double, 2>>dp(n+1); 
	dp[0][0] = 0, dp[0][1] = -INF;
	for(int i=0;i<n;i++){
		dp[i+1][1] = max(dp[i][1] + a[i], dp[i][0] + a[i] - mid);
		dp[i+1][0] = max(dp[i][0], dp[i][1]);	
	}
	cout<< lint(round(max(dp[n][0], dp[n][1]) + mid * k))<<"\n";	
	
		
	
	

	return 0;
}
/*
[  ]Leu o problema certo???
[  ]Ver se precisa de long long
[  ]Viu o limite dos fors (é n? é m?)
[  ]Tamanho do vetor, será que é 2e5 em vez de 1e5??
[  ]Testar sample
[  ]Testar casos de  borda
[  ]1LL no 1LL << i
[  ]Testar mod (é 1e9+7, mesmo?, será que o mod não ficou negativo?)
*/
# Verdict Execution time Memory Grader output
1 Correct 372 ms 11692 KB Output is correct
2 Correct 357 ms 11872 KB Output is correct
3 Correct 359 ms 11980 KB Output is correct
4 Correct 341 ms 11912 KB Output is correct
5 Correct 349 ms 11848 KB Output is correct
6 Correct 320 ms 11692 KB Output is correct
7 Correct 348 ms 11816 KB Output is correct
8 Correct 332 ms 11932 KB Output is correct
9 Correct 341 ms 11692 KB Output is correct
10 Correct 331 ms 11764 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 335 ms 11732 KB Output is correct
2 Correct 358 ms 12012 KB Output is correct
3 Correct 331 ms 11700 KB Output is correct
4 Correct 349 ms 11860 KB Output is correct
5 Correct 328 ms 11716 KB Output is correct
6 Correct 336 ms 11732 KB Output is correct
7 Correct 341 ms 11980 KB Output is correct
8 Correct 362 ms 11936 KB Output is correct
9 Correct 325 ms 11624 KB Output is correct
10 Correct 367 ms 11888 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 416 ms 11932 KB Output is correct
2 Correct 451 ms 11724 KB Output is correct
3 Correct 410 ms 11852 KB Output is correct
4 Correct 454 ms 11728 KB Output is correct
5 Correct 416 ms 11860 KB Output is correct
6 Correct 424 ms 11900 KB Output is correct
7 Correct 434 ms 11992 KB Output is correct
8 Correct 439 ms 11964 KB Output is correct
9 Correct 452 ms 11968 KB Output is correct
10 Correct 442 ms 11896 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 3 ms 340 KB Output is correct
22 Correct 2 ms 340 KB Output is correct
23 Correct 2 ms 340 KB Output is correct
24 Correct 3 ms 340 KB Output is correct
25 Correct 4 ms 340 KB Output is correct
26 Correct 3 ms 340 KB Output is correct
27 Correct 3 ms 340 KB Output is correct
28 Correct 4 ms 368 KB Output is correct
29 Correct 3 ms 340 KB Output is correct
30 Correct 3 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 372 ms 11692 KB Output is correct
2 Correct 357 ms 11872 KB Output is correct
3 Correct 359 ms 11980 KB Output is correct
4 Correct 341 ms 11912 KB Output is correct
5 Correct 349 ms 11848 KB Output is correct
6 Correct 320 ms 11692 KB Output is correct
7 Correct 348 ms 11816 KB Output is correct
8 Correct 332 ms 11932 KB Output is correct
9 Correct 341 ms 11692 KB Output is correct
10 Correct 331 ms 11764 KB Output is correct
11 Correct 335 ms 11732 KB Output is correct
12 Correct 358 ms 12012 KB Output is correct
13 Correct 331 ms 11700 KB Output is correct
14 Correct 349 ms 11860 KB Output is correct
15 Correct 328 ms 11716 KB Output is correct
16 Correct 336 ms 11732 KB Output is correct
17 Correct 341 ms 11980 KB Output is correct
18 Correct 362 ms 11936 KB Output is correct
19 Correct 325 ms 11624 KB Output is correct
20 Correct 367 ms 11888 KB Output is correct
21 Correct 416 ms 11932 KB Output is correct
22 Correct 451 ms 11724 KB Output is correct
23 Correct 410 ms 11852 KB Output is correct
24 Correct 454 ms 11728 KB Output is correct
25 Correct 416 ms 11860 KB Output is correct
26 Correct 424 ms 11900 KB Output is correct
27 Correct 434 ms 11992 KB Output is correct
28 Correct 439 ms 11964 KB Output is correct
29 Correct 452 ms 11968 KB Output is correct
30 Correct 442 ms 11896 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 0 ms 212 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 0 ms 212 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 1 ms 212 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 1 ms 212 KB Output is correct
44 Correct 1 ms 212 KB Output is correct
45 Correct 1 ms 212 KB Output is correct
46 Correct 1 ms 212 KB Output is correct
47 Correct 1 ms 212 KB Output is correct
48 Correct 1 ms 212 KB Output is correct
49 Correct 1 ms 212 KB Output is correct
50 Correct 1 ms 212 KB Output is correct
51 Correct 3 ms 340 KB Output is correct
52 Correct 2 ms 340 KB Output is correct
53 Correct 2 ms 340 KB Output is correct
54 Correct 3 ms 340 KB Output is correct
55 Correct 4 ms 340 KB Output is correct
56 Correct 3 ms 340 KB Output is correct
57 Correct 3 ms 340 KB Output is correct
58 Correct 4 ms 368 KB Output is correct
59 Correct 3 ms 340 KB Output is correct
60 Correct 3 ms 340 KB Output is correct
61 Incorrect 655 ms 11724 KB Output isn't correct
62 Halted 0 ms 0 KB -