Submission #776361

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
776361	2023-07-07T18:03:48 Z	Hydrolyzed	Feast (NOI19_feast)	C++14	100 / 100	137 ms	12748 KB

feast

/*
 * AUTHOR	: Hydrolyzed~
 * SCHOOL	: RYW
 * TASK		: NOI19_feast
 * ALGO		: 
 * DATE		:
 * */

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/rope>

#ifndef _DEBUG
// @==== Libary ====@ //

// @================@ //
#endif

using namespace std;
using namespace __gnu_pbds;
using namespace __gnu_cxx;

template <typename T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update> ;

// @=== Debugger ===@ //
#ifdef _DEBUG
#include "debug.hpp"
#else
#define dbg(...) 0
#endif
// @================@ //

using ll = long long;

const int MxN = 300030;

int n, k;
ll a[MxN];
pair<ll, int> dp[2][MxN];

// dp[0][i] = not eat i, (max sum, number of people)
// dp[1][i] = eat i, (max sum, number of people)

// make sure every people consume at least [mid]
// max sum contains remainder of [value of eating - mid * number of eating]
inline pair<ll, int> calc(ll mid) {
	dp[0][1] = {0, 0};
	dp[1][1] = {a[1] - mid, 1};
	for(int i=2; i<=n; ++i) {
		dp[0][i] = max(dp[0][i - 1], dp[1][i - 1]);
		dp[1][i] = max(
			make_pair(dp[0][i - 1].first - mid, dp[0][i - 1].second + 1),
			dp[1][i - 1]
		);
		dp[1][i].first += a[i];
	}
	return max(dp[0][n], dp[1][n]);
}

inline void solution(){
	cin >> n >> k;
	for(int i=1; i<=n; ++i) {
		cin >> a[i];
	}
	ll l = 0ll, r = 1e18 + 100;
	while(l < r) {
		ll mid = (l + r + 1ll) >> 1ll;
		pair<ll, int> current_maximum_possible = calc(mid);
		if(current_maximum_possible.second >= k) {
			l = mid;
		}
		else {
			r = mid - 1ll;
		}
	}
	pair<ll, int> answer = calc(l);
	cout << answer.first + l * answer.second;
	return ;
}

signed main(){
	cin.tie(nullptr)->ios::sync_with_stdio(false);	
	int q = 1;
//	cin >> q;
	while(q--){
		solution();
		cout << "\n";
	}
	return 0;
}
// https://github.com/MasterIceZ/archive/tree/main/cpp-template

Subtask #1
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	80 ms	11604 KB	Output is correct
2	Correct	84 ms	11904 KB	Output is correct
3	Correct	81 ms	12032 KB	Output is correct
4	Correct	79 ms	11860 KB	Output is correct
5	Correct	80 ms	11900 KB	Output is correct
6	Correct	77 ms	11692 KB	Output is correct
7	Correct	77 ms	11628 KB	Output is correct
8	Correct	81 ms	11928 KB	Output is correct
9	Correct	86 ms	11612 KB	Output is correct
10	Correct	79 ms	11840 KB	Output is correct

Subtask #2
8.0 / 8.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	69 ms	11780 KB	Output is correct
2	Correct	77 ms	12040 KB	Output is correct
3	Correct	75 ms	11744 KB	Output is correct
4	Correct	71 ms	11780 KB	Output is correct
5	Correct	78 ms	12496 KB	Output is correct
6	Correct	69 ms	12500 KB	Output is correct
7	Correct	75 ms	12748 KB	Output is correct
8	Correct	80 ms	12740 KB	Output is correct
9	Correct	82 ms	12416 KB	Output is correct
10	Correct	72 ms	12740 KB	Output is correct

Subtask #3
18.0 / 18.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	100 ms	11864 KB	Output is correct
2	Correct	100 ms	11764 KB	Output is correct
3	Correct	101 ms	11840 KB	Output is correct
4	Correct	102 ms	11900 KB	Output is correct
5	Correct	105 ms	11852 KB	Output is correct
6	Correct	100 ms	11864 KB	Output is correct
7	Correct	101 ms	11992 KB	Output is correct
8	Correct	100 ms	11880 KB	Output is correct
9	Correct	103 ms	12028 KB	Output is correct
10	Correct	101 ms	11988 KB	Output is correct

Subtask #4
10.0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	340 KB	Output is correct
2	Correct	0 ms	212 KB	Output is correct
3	Correct	1 ms	340 KB	Output is correct
4	Correct	1 ms	340 KB	Output is correct
5	Correct	0 ms	340 KB	Output is correct
6	Correct	0 ms	340 KB	Output is correct
7	Correct	1 ms	340 KB	Output is correct
8	Correct	0 ms	328 KB	Output is correct
9	Correct	1 ms	340 KB	Output is correct
10	Correct	1 ms	340 KB	Output is correct

Subtask #5
11.0 / 11.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	340 KB	Output is correct
2	Correct	0 ms	212 KB	Output is correct
3	Correct	1 ms	340 KB	Output is correct
4	Correct	1 ms	340 KB	Output is correct
5	Correct	0 ms	340 KB	Output is correct
6	Correct	0 ms	340 KB	Output is correct
7	Correct	1 ms	340 KB	Output is correct
8	Correct	0 ms	328 KB	Output is correct
9	Correct	1 ms	340 KB	Output is correct
10	Correct	1 ms	340 KB	Output is correct
11	Correct	1 ms	340 KB	Output is correct
12	Correct	1 ms	340 KB	Output is correct
13	Correct	1 ms	340 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	340 KB	Output is correct
17	Correct	1 ms	328 KB	Output is correct
18	Correct	1 ms	340 KB	Output is correct
19	Correct	1 ms	340 KB	Output is correct
20	Correct	0 ms	340 KB	Output is correct

Subtask #6
20.0 / 20.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	340 KB	Output is correct
2	Correct	0 ms	212 KB	Output is correct
3	Correct	1 ms	340 KB	Output is correct
4	Correct	1 ms	340 KB	Output is correct
5	Correct	0 ms	340 KB	Output is correct
6	Correct	0 ms	340 KB	Output is correct
7	Correct	1 ms	340 KB	Output is correct
8	Correct	0 ms	328 KB	Output is correct
9	Correct	1 ms	340 KB	Output is correct
10	Correct	1 ms	340 KB	Output is correct
11	Correct	1 ms	340 KB	Output is correct
12	Correct	1 ms	340 KB	Output is correct
13	Correct	1 ms	340 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	340 KB	Output is correct
17	Correct	1 ms	328 KB	Output is correct
18	Correct	1 ms	340 KB	Output is correct
19	Correct	1 ms	340 KB	Output is correct
20	Correct	0 ms	340 KB	Output is correct
21	Correct	1 ms	356 KB	Output is correct
22	Correct	1 ms	340 KB	Output is correct
23	Correct	1 ms	340 KB	Output is correct
24	Correct	1 ms	336 KB	Output is correct
25	Correct	1 ms	340 KB	Output is correct
26	Correct	1 ms	340 KB	Output is correct
27	Correct	1 ms	340 KB	Output is correct
28	Correct	1 ms	340 KB	Output is correct
29	Correct	1 ms	340 KB	Output is correct
30	Correct	1 ms	340 KB	Output is correct

Subtask #7
29.0 / 29.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	80 ms	11604 KB	Output is correct
2	Correct	84 ms	11904 KB	Output is correct
3	Correct	81 ms	12032 KB	Output is correct
4	Correct	79 ms	11860 KB	Output is correct
5	Correct	80 ms	11900 KB	Output is correct
6	Correct	77 ms	11692 KB	Output is correct
7	Correct	77 ms	11628 KB	Output is correct
8	Correct	81 ms	11928 KB	Output is correct
9	Correct	86 ms	11612 KB	Output is correct
10	Correct	79 ms	11840 KB	Output is correct
11	Correct	69 ms	11780 KB	Output is correct
12	Correct	77 ms	12040 KB	Output is correct
13	Correct	75 ms	11744 KB	Output is correct
14	Correct	71 ms	11780 KB	Output is correct
15	Correct	78 ms	12496 KB	Output is correct
16	Correct	69 ms	12500 KB	Output is correct
17	Correct	75 ms	12748 KB	Output is correct
18	Correct	80 ms	12740 KB	Output is correct
19	Correct	82 ms	12416 KB	Output is correct
20	Correct	72 ms	12740 KB	Output is correct
21	Correct	100 ms	11864 KB	Output is correct
22	Correct	100 ms	11764 KB	Output is correct
23	Correct	101 ms	11840 KB	Output is correct
24	Correct	102 ms	11900 KB	Output is correct
25	Correct	105 ms	11852 KB	Output is correct
26	Correct	100 ms	11864 KB	Output is correct
27	Correct	101 ms	11992 KB	Output is correct
28	Correct	100 ms	11880 KB	Output is correct
29	Correct	103 ms	12028 KB	Output is correct
30	Correct	101 ms	11988 KB	Output is correct
31	Correct	0 ms	340 KB	Output is correct
32	Correct	0 ms	212 KB	Output is correct
33	Correct	1 ms	340 KB	Output is correct
34	Correct	1 ms	340 KB	Output is correct
35	Correct	0 ms	340 KB	Output is correct
36	Correct	0 ms	340 KB	Output is correct
37	Correct	1 ms	340 KB	Output is correct
38	Correct	0 ms	328 KB	Output is correct
39	Correct	1 ms	340 KB	Output is correct
40	Correct	1 ms	340 KB	Output is correct
41	Correct	1 ms	340 KB	Output is correct
42	Correct	1 ms	340 KB	Output is correct
43	Correct	1 ms	340 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	340 KB	Output is correct
47	Correct	1 ms	328 KB	Output is correct
48	Correct	1 ms	340 KB	Output is correct
49	Correct	1 ms	340 KB	Output is correct
50	Correct	0 ms	340 KB	Output is correct
51	Correct	1 ms	356 KB	Output is correct
52	Correct	1 ms	340 KB	Output is correct
53	Correct	1 ms	340 KB	Output is correct
54	Correct	1 ms	336 KB	Output is correct
55	Correct	1 ms	340 KB	Output is correct
56	Correct	1 ms	340 KB	Output is correct
57	Correct	1 ms	340 KB	Output is correct
58	Correct	1 ms	340 KB	Output is correct
59	Correct	1 ms	340 KB	Output is correct
60	Correct	1 ms	340 KB	Output is correct
61	Correct	136 ms	11760 KB	Output is correct
62	Correct	130 ms	12048 KB	Output is correct
63	Correct	114 ms	11724 KB	Output is correct
64	Correct	135 ms	11956 KB	Output is correct
65	Correct	136 ms	11860 KB	Output is correct
66	Correct	137 ms	11916 KB	Output is correct
67	Correct	134 ms	11736 KB	Output is correct
68	Correct	102 ms	11960 KB	Output is correct
69	Correct	99 ms	11624 KB	Output is correct
70	Correct	98 ms	11676 KB	Output is correct

Submission #776361

Compilation message

Subtask #1 4.0 / 4.0

Subtask #2 8.0 / 8.0

Subtask #3 18.0 / 18.0

Subtask #4 10.0 / 10.0

Subtask #5 11.0 / 11.0

Subtask #6 20.0 / 20.0

Subtask #7 29.0 / 29.0

Subtask #1
4.0 / 4.0

Subtask #2
8.0 / 8.0

Subtask #3
18.0 / 18.0

Subtask #4
10.0 / 10.0

Subtask #5
11.0 / 11.0

Subtask #6
20.0 / 20.0

Subtask #7
29.0 / 29.0