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Submission #1070833

# Submission time Handle Problem Language Result Execution time Memory
1070833 2024-08-22T19:16:47 Z TAhmed33 Feast (NOI19_feast) C++
100 / 100
 154 ms 15236 KB 
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int MAXN = 3e5 + 25;
ll a[MAXN], n, k;
pair <ll, ll> eval (ll mid) {
	pair <ll, ll> dp[n + 1][2];
	dp[1][0] = {0, 0};
	dp[1][1] = {a[1] - mid, 1};
	for (int i = 2; i <= n; i++) {
		dp[i][0] = max(dp[i - 1][0], dp[i - 1][1]);
		pair <ll, ll> g = {dp[i - 1][0].first + a[i] - mid, dp[i - 1][0].second + 1};
		pair <ll, ll> h = {dp[i - 1][1].first + a[i], dp[i - 1][1].second};
		dp[i][1] = max(g, h);
		dp[i][0] = max(dp[i][0], {0ll, 0ll});
		dp[i][1] = max(dp[i][1], {a[i] - mid, 1ll});
	}
	return max({dp[n][0], dp[n][1], {0ll, 0ll}});
}
void solve () {
	cin >> n >> k;
	for (int i = 1; i <= n; i++) {
		cin >> a[i];
	}
	ll l = 0, r = 1e18, ans = 0;
	while (l <= r) {
		ll mid = (l + r) / 2;	
		if (eval(mid).second >= k) {
			l = mid + 1; ans = mid; 
		} else {
			r = mid - 1;
		}
	}
	cout << eval(ans).first + ans * k << '\n';
}		
signed main () {
	ios::sync_with_stdio(0); cin.tie(0);
	int tc = 1; //cin >> tc;
	while (tc--) solve();
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 101 ms 11604 KB Output is correct
2 Correct 101 ms 14884 KB Output is correct
3 Correct 102 ms 15044 KB Output is correct
4 Correct 101 ms 14936 KB Output is correct
5 Correct 100 ms 14676 KB Output is correct
6 Correct 100 ms 14420 KB Output is correct
7 Correct 103 ms 14420 KB Output is correct
8 Correct 103 ms 14828 KB Output is correct
9 Correct 98 ms 14656 KB Output is correct
10 Correct 105 ms 14676 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 91 ms 11864 KB Output is correct
2 Correct 90 ms 12148 KB Output is correct
3 Correct 89 ms 11648 KB Output is correct
4 Correct 97 ms 11868 KB Output is correct
5 Correct 96 ms 14464 KB Output is correct
6 Correct 90 ms 12888 KB Output is correct
7 Correct 91 ms 13148 KB Output is correct
8 Correct 107 ms 14828 KB Output is correct
9 Correct 102 ms 14428 KB Output is correct
10 Correct 96 ms 13232 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 153 ms 11896 KB Output is correct
2 Correct 123 ms 11868 KB Output is correct
3 Correct 148 ms 11860 KB Output is correct
4 Correct 147 ms 11892 KB Output is correct
5 Correct 117 ms 11868 KB Output is correct
6 Correct 154 ms 11856 KB Output is correct
7 Correct 151 ms 12112 KB Output is correct
8 Correct 122 ms 12012 KB Output is correct
9 Correct 125 ms 12148 KB Output is correct
10 Correct 135 ms 12120 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 464 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 464 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 464 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 460 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 408 KB Output is correct
19 Correct 0 ms 476 KB Output is correct
20 Correct 1 ms 356 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 464 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 464 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 460 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 408 KB Output is correct
19 Correct 0 ms 476 KB Output is correct
20 Correct 1 ms 356 KB Output is correct
21 Correct 2 ms 356 KB Output is correct
22 Correct 1 ms 356 KB Output is correct
23 Correct 1 ms 556 KB Output is correct
24 Correct 1 ms 352 KB Output is correct
25 Correct 1 ms 356 KB Output is correct
26 Correct 2 ms 496 KB Output is correct
27 Correct 1 ms 356 KB Output is correct
28 Correct 2 ms 356 KB Output is correct
29 Correct 1 ms 356 KB Output is correct
30 Correct 2 ms 348 KB Output is correct

Subtask #7
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 101 ms 11604 KB Output is correct
2 Correct 101 ms 14884 KB Output is correct
3 Correct 102 ms 15044 KB Output is correct
4 Correct 101 ms 14936 KB Output is correct
5 Correct 100 ms 14676 KB Output is correct
6 Correct 100 ms 14420 KB Output is correct
7 Correct 103 ms 14420 KB Output is correct
8 Correct 103 ms 14828 KB Output is correct
9 Correct 98 ms 14656 KB Output is correct
10 Correct 105 ms 14676 KB Output is correct
11 Correct 91 ms 11864 KB Output is correct
12 Correct 90 ms 12148 KB Output is correct
13 Correct 89 ms 11648 KB Output is correct
14 Correct 97 ms 11868 KB Output is correct
15 Correct 96 ms 14464 KB Output is correct
16 Correct 90 ms 12888 KB Output is correct
17 Correct 91 ms 13148 KB Output is correct
18 Correct 107 ms 14828 KB Output is correct
19 Correct 102 ms 14428 KB Output is correct
20 Correct 96 ms 13232 KB Output is correct
21 Correct 153 ms 11896 KB Output is correct
22 Correct 123 ms 11868 KB Output is correct
23 Correct 148 ms 11860 KB Output is correct
24 Correct 147 ms 11892 KB Output is correct
25 Correct 117 ms 11868 KB Output is correct
26 Correct 154 ms 11856 KB Output is correct
27 Correct 151 ms 12112 KB Output is correct
28 Correct 122 ms 12012 KB Output is correct
29 Correct 125 ms 12148 KB Output is correct
30 Correct 135 ms 12120 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 1 ms 604 KB Output is correct
34 Correct 1 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 1 ms 464 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 1 ms 348 KB Output is correct
42 Correct 0 ms 464 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 0 ms 460 KB Output is correct
45 Correct 0 ms 348 KB Output is correct
46 Correct 1 ms 348 KB Output is correct
47 Correct 1 ms 348 KB Output is correct
48 Correct 1 ms 408 KB Output is correct
49 Correct 0 ms 476 KB Output is correct
50 Correct 1 ms 356 KB Output is correct
51 Correct 2 ms 356 KB Output is correct
52 Correct 1 ms 356 KB Output is correct
53 Correct 1 ms 556 KB Output is correct
54 Correct 1 ms 352 KB Output is correct
55 Correct 1 ms 356 KB Output is correct
56 Correct 2 ms 496 KB Output is correct
57 Correct 1 ms 356 KB Output is correct
58 Correct 2 ms 356 KB Output is correct
59 Correct 1 ms 356 KB Output is correct
60 Correct 2 ms 348 KB Output is correct
61 Correct 141 ms 14836 KB Output is correct
62 Correct 139 ms 15236 KB Output is correct
63 Correct 130 ms 14676 KB Output is correct
64 Correct 142 ms 15116 KB Output is correct
65 Correct 145 ms 14940 KB Output is correct
66 Correct 152 ms 15036 KB Output is correct
67 Correct 150 ms 14676 KB Output is correct
68 Correct 122 ms 14932 KB Output is correct
69 Correct 115 ms 14672 KB Output is correct
70 Correct 115 ms 14672 KB Output is correct