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Submission #947362

# Submission time Handle Problem Language Result Execution time Memory
947362 2024-03-16T02:56:42 Z SirCovidThe19th Feast (NOI19_feast) C++17
100 / 100
 258 ms 12964 KB 
#include <bits/stdc++.h>
using namespace std;
 
#define ll long long

const int MAX = 300000;
const ll INF = (ll)300000 * 1000000000;

int n, k, A[MAX + 1]; 
pair<ll, ll> dp[MAX + 1][2];
 
pair<ll, ll> better(pair<ll, ll> a, pair<ll, ll> b){
    if (a.first == b.first){ return (a.second < b.second ? a : b); }

    return (a.first > b.first ? a : b);
}

pair<ll, ll> solveLambda(ll lmb){
    dp[0][0] = {0, 0}; 
    dp[0][1] = {-INF, 0};
 
    for (int i = 1; i <= n; i++){
        dp[i][0] = better(dp[i - 1][0], dp[i - 1][1]);

        dp[i][1] = better(
            {dp[i - 1][0].first + A[i] - lmb, dp[i - 1][0].second + 1}, 
            {dp[i - 1][1].first + A[i], dp[i - 1][1].second}
        );
    }
    return better(dp[n][0], dp[n][1]);
}
 
int main(){
    cin >> n >> k;

    for (int i = 1; i <= n; i++) cin >> A[i];
 
    ll lo = 0, hi = 1e15;

    while (lo < hi){
        ll M = (lo + hi) / 2;
        solveLambda(M).second <= k ? hi = M : lo = M + 1;
    }    
    cout << solveLambda(lo).first + lo * k << "\n";
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 219 ms 12372 KB Output is correct
2 Correct 231 ms 12628 KB Output is correct
3 Correct 226 ms 12768 KB Output is correct
4 Correct 228 ms 12624 KB Output is correct
5 Correct 230 ms 12708 KB Output is correct
6 Correct 222 ms 12476 KB Output is correct
7 Correct 225 ms 12484 KB Output is correct
8 Correct 225 ms 12760 KB Output is correct
9 Correct 235 ms 12360 KB Output is correct
10 Correct 224 ms 12752 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 178 ms 11556 KB Output is correct
2 Correct 189 ms 11604 KB Output is correct
3 Correct 183 ms 11800 KB Output is correct
4 Correct 180 ms 11728 KB Output is correct
5 Correct 240 ms 12372 KB Output is correct
6 Correct 184 ms 11864 KB Output is correct
7 Correct 184 ms 11604 KB Output is correct
8 Correct 234 ms 12568 KB Output is correct
9 Correct 226 ms 12316 KB Output is correct
10 Correct 189 ms 11740 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 223 ms 12628 KB Output is correct
2 Correct 216 ms 12740 KB Output is correct
3 Correct 220 ms 12560 KB Output is correct
4 Correct 220 ms 12752 KB Output is correct
5 Correct 221 ms 12624 KB Output is correct
6 Correct 222 ms 12768 KB Output is correct
7 Correct 231 ms 12768 KB Output is correct
8 Correct 219 ms 12628 KB Output is correct
9 Correct 223 ms 12952 KB Output is correct
10 Correct 258 ms 12700 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2488 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2392 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2488 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2392 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2392 KB Output is correct
12 Correct 1 ms 2392 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2392 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2392 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2488 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2392 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2392 KB Output is correct
12 Correct 1 ms 2392 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2392 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2392 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 2 ms 2392 KB Output is correct
22 Correct 3 ms 2396 KB Output is correct
23 Correct 2 ms 2396 KB Output is correct
24 Correct 2 ms 2396 KB Output is correct
25 Correct 2 ms 2392 KB Output is correct
26 Correct 2 ms 2396 KB Output is correct
27 Correct 2 ms 2504 KB Output is correct
28 Correct 2 ms 2396 KB Output is correct
29 Correct 2 ms 2396 KB Output is correct
30 Correct 2 ms 2392 KB Output is correct

Subtask #7
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 219 ms 12372 KB Output is correct
2 Correct 231 ms 12628 KB Output is correct
3 Correct 226 ms 12768 KB Output is correct
4 Correct 228 ms 12624 KB Output is correct
5 Correct 230 ms 12708 KB Output is correct
6 Correct 222 ms 12476 KB Output is correct
7 Correct 225 ms 12484 KB Output is correct
8 Correct 225 ms 12760 KB Output is correct
9 Correct 235 ms 12360 KB Output is correct
10 Correct 224 ms 12752 KB Output is correct
11 Correct 178 ms 11556 KB Output is correct
12 Correct 189 ms 11604 KB Output is correct
13 Correct 183 ms 11800 KB Output is correct
14 Correct 180 ms 11728 KB Output is correct
15 Correct 240 ms 12372 KB Output is correct
16 Correct 184 ms 11864 KB Output is correct
17 Correct 184 ms 11604 KB Output is correct
18 Correct 234 ms 12568 KB Output is correct
19 Correct 226 ms 12316 KB Output is correct
20 Correct 189 ms 11740 KB Output is correct
21 Correct 223 ms 12628 KB Output is correct
22 Correct 216 ms 12740 KB Output is correct
23 Correct 220 ms 12560 KB Output is correct
24 Correct 220 ms 12752 KB Output is correct
25 Correct 221 ms 12624 KB Output is correct
26 Correct 222 ms 12768 KB Output is correct
27 Correct 231 ms 12768 KB Output is correct
28 Correct 219 ms 12628 KB Output is correct
29 Correct 223 ms 12952 KB Output is correct
30 Correct 258 ms 12700 KB Output is correct
31 Correct 1 ms 2392 KB Output is correct
32 Correct 1 ms 2396 KB Output is correct
33 Correct 1 ms 2488 KB Output is correct
34 Correct 1 ms 2396 KB Output is correct
35 Correct 1 ms 2396 KB Output is correct
36 Correct 1 ms 2396 KB Output is correct
37 Correct 1 ms 2396 KB Output is correct
38 Correct 1 ms 2392 KB Output is correct
39 Correct 1 ms 2396 KB Output is correct
40 Correct 1 ms 2396 KB Output is correct
41 Correct 1 ms 2392 KB Output is correct
42 Correct 1 ms 2392 KB Output is correct
43 Correct 1 ms 2396 KB Output is correct
44 Correct 1 ms 2392 KB Output is correct
45 Correct 1 ms 2396 KB Output is correct
46 Correct 1 ms 2396 KB Output is correct
47 Correct 1 ms 2396 KB Output is correct
48 Correct 1 ms 2392 KB Output is correct
49 Correct 1 ms 2396 KB Output is correct
50 Correct 1 ms 2396 KB Output is correct
51 Correct 2 ms 2392 KB Output is correct
52 Correct 3 ms 2396 KB Output is correct
53 Correct 2 ms 2396 KB Output is correct
54 Correct 2 ms 2396 KB Output is correct
55 Correct 2 ms 2392 KB Output is correct
56 Correct 2 ms 2396 KB Output is correct
57 Correct 2 ms 2504 KB Output is correct
58 Correct 2 ms 2396 KB Output is correct
59 Correct 2 ms 2396 KB Output is correct
60 Correct 2 ms 2392 KB Output is correct
61 Correct 238 ms 12624 KB Output is correct
62 Correct 226 ms 12628 KB Output is correct
63 Correct 217 ms 12704 KB Output is correct
64 Correct 225 ms 12628 KB Output is correct
65 Correct 227 ms 12624 KB Output is correct
66 Correct 224 ms 12756 KB Output is correct
67 Correct 219 ms 12576 KB Output is correct
68 Correct 226 ms 12628 KB Output is correct
69 Correct 221 ms 12964 KB Output is correct
70 Correct 224 ms 12740 KB Output is correct