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Submission #539032

# Submission time Handle Problem Language Result Execution time Memory
539032 2022-03-18T09:59:41 Z _karan_gandhi Feast (NOI19_feast) C++17
51 / 100
 1000 ms 25940 KB 
#include <bits/stdc++.h>
using namespace std;

#define all(v) v.begin(), v.end()
#define endl '\n'
#define pl(var) " [" << #var << ": " << (var) << "] "
#define ll long long

void solve() {
	// dp[i][j] = the max sum that can be obtained if j subsegments are chosen and last subsegment ends at i

	// dp[i][j] = dp[0..i][j-1]
	int n, k; cin >> n >> k;
	vector<ll int> arr(n); for (int i = 0; i < n; i++) {
		cin >> arr[i];
	}

	bool good = 1;
	bool one = 0;
	for (int i = 0; i < n; i++) {
		if (arr[i] < 0 && !one) {
			good = 0;
			one = 1;
		} else if (arr[i] < 0 && one) {
			one = 0;
			break;
		}
	}

	if (good) {
		ll int cur = 0;
		for (int i = 0; i < n; i++) {
			cur += arr[i];
		}

		cout << cur << endl;
		return;
	}

	if (one) {
		// depends on the value of k;
		ll int start = 0;
		ll int end = 0;
		ll int all = 0;
		bool instart = 1;

		for (int i = 0; i < n; i++) {
			all += arr[i];
			if (arr[i] < 0) {
				instart = 0;
				continue;
			}

			if (instart) {
				start += arr[i];
			} else {
				end += arr[i];
			}
		}

		if (k == 1) {
			cout << max({start, end, all}) << endl;
		} else {
			cout << start + end << endl;
		}

		return;
	}

	vector<vector<ll int>> dp(n + 1, vector<ll int>(k + 1, 0));

	ll int ans = 0;
	ll int mn = 0;
	ll int pref = 0;
	for (int i = 0; i < n; i++) {
		pref += arr[i];
		mn = min(pref, mn);
		dp[i][1] = max(pref - mn, pref);
		ans = max(ans, dp[i][1]);
		if (arr[i] < 0) good = 0;
	}

	for (int i = 2; i <= k; i++) {
		for (int j = i - 1; j < n; j++) {
			ll int cur = arr[j]; 
			ll int best = arr[j];
			for (int k = j - 1; k >= 0; k--) {
				dp[j][i] = max(dp[k][i - 1] + best, dp[j][i]);
				cur += arr[k];
				best = max(best, cur);
			}
			ans = max(ans, dp[j][i]);
		}
	}

	cout << ans << endl;
}

int main() {
	ios::sync_with_stdio(false);
	cin.tie(nullptr);

	int T = 1;
	// cin >> T;
	while (T--)
		solve();
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 29 ms 2516 KB Output is correct
2 Correct 30 ms 2644 KB Output is correct
3 Correct 33 ms 2644 KB Output is correct
4 Correct 31 ms 2644 KB Output is correct
5 Correct 32 ms 2644 KB Output is correct
6 Correct 28 ms 2516 KB Output is correct
7 Correct 28 ms 2516 KB Output is correct
8 Correct 27 ms 2644 KB Output is correct
9 Correct 27 ms 2516 KB Output is correct
10 Correct 29 ms 2516 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 2516 KB Output is correct
2 Correct 29 ms 2644 KB Output is correct
3 Correct 23 ms 2516 KB Output is correct
4 Correct 21 ms 3668 KB Output is correct
5 Correct 34 ms 5396 KB Output is correct
6 Correct 20 ms 3624 KB Output is correct
7 Correct 21 ms 3788 KB Output is correct
8 Correct 30 ms 5456 KB Output is correct
9 Correct 39 ms 5264 KB Output is correct
10 Correct 23 ms 3660 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 48 ms 18764 KB Output is correct
2 Correct 47 ms 18600 KB Output is correct
3 Correct 51 ms 18836 KB Output is correct
4 Correct 46 ms 18656 KB Output is correct
5 Correct 50 ms 18760 KB Output is correct
6 Correct 65 ms 19036 KB Output is correct
7 Correct 50 ms 18920 KB Output is correct
8 Correct 47 ms 18768 KB Output is correct
9 Correct 47 ms 18952 KB Output is correct
10 Correct 46 ms 19016 KB Output is correct

Subtask #4
10.0 / 10.0

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

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 3 ms 340 KB Output is correct
12 Correct 4 ms 456 KB Output is correct
13 Correct 2 ms 340 KB Output is correct
14 Correct 3 ms 340 KB Output is correct
15 Correct 2 ms 404 KB Output is correct
16 Correct 2 ms 340 KB Output is correct
17 Correct 4 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct

Subtask #6
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 3 ms 340 KB Output is correct
12 Correct 4 ms 456 KB Output is correct
13 Correct 2 ms 340 KB Output is correct
14 Correct 3 ms 340 KB Output is correct
15 Correct 2 ms 404 KB Output is correct
16 Correct 2 ms 340 KB Output is correct
17 Correct 4 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 683 ms 3412 KB Output is correct
22 Execution timed out 1063 ms 25940 KB Time limit exceeded
23 Halted 0 ms 0 KB -

Subtask #7
0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 29 ms 2516 KB Output is correct
2 Correct 30 ms 2644 KB Output is correct
3 Correct 33 ms 2644 KB Output is correct
4 Correct 31 ms 2644 KB Output is correct
5 Correct 32 ms 2644 KB Output is correct
6 Correct 28 ms 2516 KB Output is correct
7 Correct 28 ms 2516 KB Output is correct
8 Correct 27 ms 2644 KB Output is correct
9 Correct 27 ms 2516 KB Output is correct
10 Correct 29 ms 2516 KB Output is correct
11 Correct 21 ms 2516 KB Output is correct
12 Correct 29 ms 2644 KB Output is correct
13 Correct 23 ms 2516 KB Output is correct
14 Correct 21 ms 3668 KB Output is correct
15 Correct 34 ms 5396 KB Output is correct
16 Correct 20 ms 3624 KB Output is correct
17 Correct 21 ms 3788 KB Output is correct
18 Correct 30 ms 5456 KB Output is correct
19 Correct 39 ms 5264 KB Output is correct
20 Correct 23 ms 3660 KB Output is correct
21 Correct 48 ms 18764 KB Output is correct
22 Correct 47 ms 18600 KB Output is correct
23 Correct 51 ms 18836 KB Output is correct
24 Correct 46 ms 18656 KB Output is correct
25 Correct 50 ms 18760 KB Output is correct
26 Correct 65 ms 19036 KB Output is correct
27 Correct 50 ms 18920 KB Output is correct
28 Correct 47 ms 18768 KB Output is correct
29 Correct 47 ms 18952 KB Output is correct
30 Correct 46 ms 19016 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 0 ms 212 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 1 ms 212 KB Output is correct
40 Correct 0 ms 212 KB Output is correct
41 Correct 3 ms 340 KB Output is correct
42 Correct 4 ms 456 KB Output is correct
43 Correct 2 ms 340 KB Output is correct
44 Correct 3 ms 340 KB Output is correct
45 Correct 2 ms 404 KB Output is correct
46 Correct 2 ms 340 KB Output is correct
47 Correct 4 ms 340 KB Output is correct
48 Correct 1 ms 340 KB Output is correct
49 Correct 1 ms 340 KB Output is correct
50 Correct 1 ms 340 KB Output is correct
51 Correct 683 ms 3412 KB Output is correct
52 Execution timed out 1063 ms 25940 KB Time limit exceeded
53 Halted 0 ms 0 KB -