Submission #543399

# Submission time Handle Problem Language Result Execution time Memory
543399 2022-03-30T13:18:43 Z fcw Feast (NOI19_feast) C++17
100 / 100
805 ms 23312 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;

using dbl = long double;
const lint INF = 3.1e14;

int main() {
	cin.tie(nullptr)->sync_with_stdio(false);
	int n, k;
	cin>>n>>k;
	vector<int>a(n);
	for(int i=0;i<n;i++) cin>>a[i];
	dbl lo = 0, hi = INF;
	for(int z=0;z<100;z++){
		dbl mid = (lo + hi) / 2;
		vector<array<pair<dbl, int>, 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; 
	}
	dbl mid = hi;
	vector<array<dbl, 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 508 ms 19652 KB Output is correct
2 Correct 512 ms 19964 KB Output is correct
3 Correct 564 ms 20300 KB Output is correct
4 Correct 555 ms 20180 KB Output is correct
5 Correct 520 ms 19976 KB Output is correct
6 Correct 516 ms 19668 KB Output is correct
7 Correct 521 ms 19664 KB Output is correct
8 Correct 528 ms 20052 KB Output is correct
9 Correct 515 ms 19768 KB Output is correct
10 Correct 520 ms 19952 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 585 ms 19776 KB Output is correct
2 Correct 553 ms 20172 KB Output is correct
3 Correct 529 ms 19704 KB Output is correct
4 Correct 570 ms 19916 KB Output is correct
5 Correct 563 ms 19676 KB Output is correct
6 Correct 530 ms 19668 KB Output is correct
7 Correct 598 ms 20240 KB Output is correct
8 Correct 558 ms 20108 KB Output is correct
9 Correct 557 ms 19552 KB Output is correct
10 Correct 525 ms 20088 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 652 ms 19988 KB Output is correct
2 Correct 625 ms 19704 KB Output is correct
3 Correct 631 ms 19996 KB Output is correct
4 Correct 612 ms 19792 KB Output is correct
5 Correct 595 ms 20000 KB Output is correct
6 Correct 603 ms 20040 KB Output is correct
7 Correct 638 ms 20200 KB Output is correct
8 Correct 601 ms 19992 KB Output is correct
9 Correct 591 ms 20172 KB Output is correct
10 Correct 586 ms 20196 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 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 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 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 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 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 340 KB Output is correct
15 Correct 1 ms 340 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 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 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 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 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 340 KB Output is correct
15 Correct 1 ms 340 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 340 KB Output is correct
21 Correct 5 ms 344 KB Output is correct
22 Correct 5 ms 340 KB Output is correct
23 Correct 4 ms 340 KB Output is correct
24 Correct 5 ms 340 KB Output is correct
25 Correct 6 ms 340 KB Output is correct
26 Correct 4 ms 340 KB Output is correct
27 Correct 6 ms 340 KB Output is correct
28 Correct 3 ms 340 KB Output is correct
29 Correct 4 ms 340 KB Output is correct
30 Correct 3 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 508 ms 19652 KB Output is correct
2 Correct 512 ms 19964 KB Output is correct
3 Correct 564 ms 20300 KB Output is correct
4 Correct 555 ms 20180 KB Output is correct
5 Correct 520 ms 19976 KB Output is correct
6 Correct 516 ms 19668 KB Output is correct
7 Correct 521 ms 19664 KB Output is correct
8 Correct 528 ms 20052 KB Output is correct
9 Correct 515 ms 19768 KB Output is correct
10 Correct 520 ms 19952 KB Output is correct
11 Correct 585 ms 19776 KB Output is correct
12 Correct 553 ms 20172 KB Output is correct
13 Correct 529 ms 19704 KB Output is correct
14 Correct 570 ms 19916 KB Output is correct
15 Correct 563 ms 19676 KB Output is correct
16 Correct 530 ms 19668 KB Output is correct
17 Correct 598 ms 20240 KB Output is correct
18 Correct 558 ms 20108 KB Output is correct
19 Correct 557 ms 19552 KB Output is correct
20 Correct 525 ms 20088 KB Output is correct
21 Correct 652 ms 19988 KB Output is correct
22 Correct 625 ms 19704 KB Output is correct
23 Correct 631 ms 19996 KB Output is correct
24 Correct 612 ms 19792 KB Output is correct
25 Correct 595 ms 20000 KB Output is correct
26 Correct 603 ms 20040 KB Output is correct
27 Correct 638 ms 20200 KB Output is correct
28 Correct 601 ms 19992 KB Output is correct
29 Correct 591 ms 20172 KB Output is correct
30 Correct 586 ms 20196 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 0 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 0 ms 212 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 1 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 340 KB Output is correct
45 Correct 1 ms 340 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 340 KB Output is correct
51 Correct 5 ms 344 KB Output is correct
52 Correct 5 ms 340 KB Output is correct
53 Correct 4 ms 340 KB Output is correct
54 Correct 5 ms 340 KB Output is correct
55 Correct 6 ms 340 KB Output is correct
56 Correct 4 ms 340 KB Output is correct
57 Correct 6 ms 340 KB Output is correct
58 Correct 3 ms 340 KB Output is correct
59 Correct 4 ms 340 KB Output is correct
60 Correct 3 ms 340 KB Output is correct
61 Correct 779 ms 19692 KB Output is correct
62 Correct 805 ms 23312 KB Output is correct
63 Correct 657 ms 22644 KB Output is correct
64 Correct 791 ms 23116 KB Output is correct
65 Correct 786 ms 23096 KB Output is correct
66 Correct 777 ms 23012 KB Output is correct
67 Correct 776 ms 22772 KB Output is correct
68 Correct 630 ms 23184 KB Output is correct
69 Correct 578 ms 22668 KB Output is correct
70 Correct 589 ms 22584 KB Output is correct