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Submission #533297

# Submission time Handle Problem Language Result Execution time Memory
533297 2022-03-05T10:04:41 Z RyoPham Feast (NOI19_feast) C++14
100 / 100
 155 ms 11588 KB 
#include <bits/stdc++.h>

using namespace std;

#define sz(x) (int)x.size()
#define fi first
#define se second
#define mp make_pair

typedef long long lli;
typedef pair<int, int> pii;

const int maxn = 3e5 + 5;
const int lim = 1e9 + 9;

int n, k;
int a[maxn];

lli pref[maxn];

lli sum = 0;

pair<lli, int> dp[maxn];

void read_input() {
    cin >> n >> k;
    for(int i = 1; i <= n; ++i) {
        cin >> a[i];
    }
}

int calc(lli lambda) {
    pair<lli, int> best = mp(0, 0);
    dp[0] = mp(0, 0);
    for(int i = 1; i <= n; ++i) {
        dp[i] = max(dp[i - 1], mp(best.fi + pref[i] - lambda, best.se + 1));
        dp[i] = max(dp[i], mp(dp[i - 1].fi - lambda, dp[i - 1].se + 1));
        best = max(best, mp(dp[i].fi - pref[i], dp[i].se));
    }
    return dp[n].se;
}

void solve() {
    pref[0] = 0;
    for(int i = 1; i <= n; ++i) {
        pref[i] = pref[i - 1] + a[i];
    }

    lli low = -maxn * 1LL * lim, high = maxn * 1LL * lim;
    while(low <= high) {
        lli mid = (low + high) / 2;
        if(calc(mid) >= k) low = mid + 1;
        else high = mid - 1;
    }

    calc(high);

    cout << dp[n].fi + high * dp[n].se << '\n';
}

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
  
    read_input();
    solve();

}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 75 ms 8596 KB Output is correct
2 Correct 76 ms 8688 KB Output is correct
3 Correct 80 ms 8904 KB Output is correct
4 Correct 78 ms 8772 KB Output is correct
5 Correct 76 ms 8796 KB Output is correct
6 Correct 83 ms 8540 KB Output is correct
7 Correct 74 ms 8652 KB Output is correct
8 Correct 85 ms 8816 KB Output is correct
9 Correct 80 ms 8800 KB Output is correct
10 Correct 75 ms 8748 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 98 ms 8704 KB Output is correct
2 Correct 92 ms 9616 KB Output is correct
3 Correct 97 ms 9432 KB Output is correct
4 Correct 79 ms 9416 KB Output is correct
5 Correct 103 ms 11080 KB Output is correct
6 Correct 92 ms 9400 KB Output is correct
7 Correct 93 ms 9660 KB Output is correct
8 Correct 102 ms 11352 KB Output is correct
9 Correct 100 ms 10948 KB Output is correct
10 Correct 78 ms 9520 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 123 ms 8812 KB Output is correct
2 Correct 119 ms 11196 KB Output is correct
3 Correct 118 ms 11352 KB Output is correct
4 Correct 119 ms 11300 KB Output is correct
5 Correct 124 ms 11400 KB Output is correct
6 Correct 118 ms 11376 KB Output is correct
7 Correct 122 ms 11588 KB Output is correct
8 Correct 120 ms 11424 KB Output is correct
9 Correct 123 ms 11560 KB Output is correct
10 Correct 124 ms 11588 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 324 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 0 ms 332 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 204 KB Output is correct

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 324 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 0 ms 332 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 324 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 320 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 324 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 0 ms 332 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 324 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 320 KB Output is correct
21 Correct 2 ms 332 KB Output is correct
22 Correct 2 ms 332 KB Output is correct
23 Correct 2 ms 332 KB Output is correct
24 Correct 2 ms 332 KB Output is correct
25 Correct 1 ms 332 KB Output is correct
26 Correct 1 ms 332 KB Output is correct
27 Correct 2 ms 348 KB Output is correct
28 Correct 1 ms 332 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 1 ms 332 KB Output is correct

Subtask #7
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 75 ms 8596 KB Output is correct
2 Correct 76 ms 8688 KB Output is correct
3 Correct 80 ms 8904 KB Output is correct
4 Correct 78 ms 8772 KB Output is correct
5 Correct 76 ms 8796 KB Output is correct
6 Correct 83 ms 8540 KB Output is correct
7 Correct 74 ms 8652 KB Output is correct
8 Correct 85 ms 8816 KB Output is correct
9 Correct 80 ms 8800 KB Output is correct
10 Correct 75 ms 8748 KB Output is correct
11 Correct 98 ms 8704 KB Output is correct
12 Correct 92 ms 9616 KB Output is correct
13 Correct 97 ms 9432 KB Output is correct
14 Correct 79 ms 9416 KB Output is correct
15 Correct 103 ms 11080 KB Output is correct
16 Correct 92 ms 9400 KB Output is correct
17 Correct 93 ms 9660 KB Output is correct
18 Correct 102 ms 11352 KB Output is correct
19 Correct 100 ms 10948 KB Output is correct
20 Correct 78 ms 9520 KB Output is correct
21 Correct 123 ms 8812 KB Output is correct
22 Correct 119 ms 11196 KB Output is correct
23 Correct 118 ms 11352 KB Output is correct
24 Correct 119 ms 11300 KB Output is correct
25 Correct 124 ms 11400 KB Output is correct
26 Correct 118 ms 11376 KB Output is correct
27 Correct 122 ms 11588 KB Output is correct
28 Correct 120 ms 11424 KB Output is correct
29 Correct 123 ms 11560 KB Output is correct
30 Correct 124 ms 11588 KB Output is correct
31 Correct 1 ms 324 KB Output is correct
32 Correct 1 ms 204 KB Output is correct
33 Correct 1 ms 204 KB Output is correct
34 Correct 0 ms 332 KB Output is correct
35 Correct 1 ms 204 KB Output is correct
36 Correct 1 ms 204 KB Output is correct
37 Correct 1 ms 332 KB Output is correct
38 Correct 1 ms 332 KB Output is correct
39 Correct 1 ms 332 KB Output is correct
40 Correct 1 ms 204 KB Output is correct
41 Correct 1 ms 332 KB Output is correct
42 Correct 1 ms 332 KB Output is correct
43 Correct 1 ms 332 KB Output is correct
44 Correct 1 ms 332 KB Output is correct
45 Correct 1 ms 324 KB Output is correct
46 Correct 1 ms 332 KB Output is correct
47 Correct 1 ms 332 KB Output is correct
48 Correct 1 ms 332 KB Output is correct
49 Correct 1 ms 332 KB Output is correct
50 Correct 1 ms 320 KB Output is correct
51 Correct 2 ms 332 KB Output is correct
52 Correct 2 ms 332 KB Output is correct
53 Correct 2 ms 332 KB Output is correct
54 Correct 2 ms 332 KB Output is correct
55 Correct 1 ms 332 KB Output is correct
56 Correct 1 ms 332 KB Output is correct
57 Correct 2 ms 348 KB Output is correct
58 Correct 1 ms 332 KB Output is correct
59 Correct 1 ms 332 KB Output is correct
60 Correct 1 ms 332 KB Output is correct
61 Correct 154 ms 11328 KB Output is correct
62 Correct 146 ms 11552 KB Output is correct
63 Correct 129 ms 11208 KB Output is correct
64 Correct 151 ms 11460 KB Output is correct
65 Correct 155 ms 11464 KB Output is correct
66 Correct 150 ms 11336 KB Output is correct
67 Correct 149 ms 11176 KB Output is correct
68 Correct 127 ms 11540 KB Output is correct
69 Correct 119 ms 11284 KB Output is correct
70 Correct 118 ms 11336 KB Output is correct