Submission #846687

# Submission time Handle Problem Language Result Execution time Memory
846687 2023-09-08T09:01:06 Z BamshooT Feast (NOI19_feast) C++14
40 / 100
75 ms 14516 KB
#include <iostream>
#include <algorithm>
#include <vector>
#include <math.h>
#include <cstdlib>

#define ll long long
#define FOR(i, a, b) for (int i = (a); i <= (b); ++i)
#define inf -1e18
#define fi first
#define se second

using namespace std;

typedef pair <ll, int> li;

const int N = 3e5 + 9, M = 2e3 + 9;
int n, k;
ll a[N], pre[N], dp[M][M];

void sub1(){
    dp[0][1] = pre[1];
    for (int t = 1; t <= k; ++t) {
        ll mx = inf;
        for (int i = 1; i <= n; ++i) {
            mx = max(mx, dp[t-1][i] - pre[i]);
            dp[t][i] = max(dp[t][i-1], pre[i] + mx);
        }
    }
    cout << dp[k][n];
}

pair<ll, int> f[N];

void maximize(li &a, li b){
    if (a.fi < b.fi) a = b;
    if (a.fi == b.fi && a.se > b.se) a = b;
}

li calc(ll cost){
    li best = {0, 0};
    for (int i = 1; i <= n; ++i) {
        f[i] = f[i-1];
        maximize(f[i], {pre[i] + best.fi - cost , best.se + 1});
        maximize(best, {f[i].fi - pre[i], f[i].se});
    }
    return f[n];
}

void sub2(){
    ll lo = -1e15, hi = 1e15, ans = 0;
    while (lo <= hi) {
        ll mid = lo + hi >> 1;
        li tmp = calc(mid);
        if (tmp.se <= k) {
            ans = max(ans, tmp.fi + tmp.se*mid);
            hi = mid - 1;
        } else lo = mid + 1;
    }
    cout << ans;
}

int main(){
    ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
   // freopen("nhap.inp", "r", stdin);
  //  freopen("xuat.out", "w", stdout);
    cin >> n >> k;
    FOR(i, 1, n) {
        cin >> a[i];
        pre[i] = pre[i-1] + a[i];
    }
    if (max(k, n) <= 2000) sub1(); else
    sub2();
    return 0;
}

Compilation message

feast.cpp: In function 'void sub2()':
feast.cpp:53:21: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   53 |         ll mid = lo + hi >> 1;
      |                  ~~~^~~~
# Verdict Execution time Memory Grader output
1 Correct 56 ms 14160 KB Output is correct
2 Correct 59 ms 14320 KB Output is correct
3 Correct 57 ms 14160 KB Output is correct
4 Correct 57 ms 14160 KB Output is correct
5 Correct 56 ms 14160 KB Output is correct
6 Correct 54 ms 14164 KB Output is correct
7 Correct 55 ms 14160 KB Output is correct
8 Correct 46 ms 14304 KB Output is correct
9 Correct 46 ms 14160 KB Output is correct
10 Correct 47 ms 14160 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 47 ms 12376 KB Output is correct
2 Correct 49 ms 12368 KB Output is correct
3 Correct 48 ms 12544 KB Output is correct
4 Correct 48 ms 12376 KB Output is correct
5 Correct 51 ms 14160 KB Output is correct
6 Correct 43 ms 12376 KB Output is correct
7 Correct 48 ms 12632 KB Output is correct
8 Correct 47 ms 14160 KB Output is correct
9 Correct 47 ms 14160 KB Output is correct
10 Correct 48 ms 12444 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 73 ms 14412 KB Output is correct
2 Correct 72 ms 14416 KB Output is correct
3 Correct 73 ms 14416 KB Output is correct
4 Correct 75 ms 14172 KB Output is correct
5 Correct 73 ms 14416 KB Output is correct
6 Correct 72 ms 14484 KB Output is correct
7 Correct 74 ms 14284 KB Output is correct
8 Correct 73 ms 14420 KB Output is correct
9 Correct 75 ms 14516 KB Output is correct
10 Correct 75 ms 14416 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4440 KB Output is correct
3 Correct 1 ms 4440 KB Output is correct
4 Correct 1 ms 4440 KB Output is correct
5 Correct 1 ms 4440 KB Output is correct
6 Correct 1 ms 4440 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4440 KB Output is correct
9 Correct 1 ms 4440 KB Output is correct
10 Correct 1 ms 4440 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4440 KB Output is correct
3 Correct 1 ms 4440 KB Output is correct
4 Correct 1 ms 4440 KB Output is correct
5 Correct 1 ms 4440 KB Output is correct
6 Correct 1 ms 4440 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4440 KB Output is correct
9 Correct 1 ms 4440 KB Output is correct
10 Correct 1 ms 4440 KB Output is correct
11 Correct 1 ms 4440 KB Output is correct
12 Correct 1 ms 4440 KB Output is correct
13 Correct 1 ms 4444 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 1 ms 4440 KB Output is correct
16 Incorrect 1 ms 4440 KB Output isn't correct
17 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4440 KB Output is correct
3 Correct 1 ms 4440 KB Output is correct
4 Correct 1 ms 4440 KB Output is correct
5 Correct 1 ms 4440 KB Output is correct
6 Correct 1 ms 4440 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4440 KB Output is correct
9 Correct 1 ms 4440 KB Output is correct
10 Correct 1 ms 4440 KB Output is correct
11 Correct 1 ms 4440 KB Output is correct
12 Correct 1 ms 4440 KB Output is correct
13 Correct 1 ms 4444 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 1 ms 4440 KB Output is correct
16 Incorrect 1 ms 4440 KB Output isn't correct
17 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 56 ms 14160 KB Output is correct
2 Correct 59 ms 14320 KB Output is correct
3 Correct 57 ms 14160 KB Output is correct
4 Correct 57 ms 14160 KB Output is correct
5 Correct 56 ms 14160 KB Output is correct
6 Correct 54 ms 14164 KB Output is correct
7 Correct 55 ms 14160 KB Output is correct
8 Correct 46 ms 14304 KB Output is correct
9 Correct 46 ms 14160 KB Output is correct
10 Correct 47 ms 14160 KB Output is correct
11 Correct 47 ms 12376 KB Output is correct
12 Correct 49 ms 12368 KB Output is correct
13 Correct 48 ms 12544 KB Output is correct
14 Correct 48 ms 12376 KB Output is correct
15 Correct 51 ms 14160 KB Output is correct
16 Correct 43 ms 12376 KB Output is correct
17 Correct 48 ms 12632 KB Output is correct
18 Correct 47 ms 14160 KB Output is correct
19 Correct 47 ms 14160 KB Output is correct
20 Correct 48 ms 12444 KB Output is correct
21 Correct 73 ms 14412 KB Output is correct
22 Correct 72 ms 14416 KB Output is correct
23 Correct 73 ms 14416 KB Output is correct
24 Correct 75 ms 14172 KB Output is correct
25 Correct 73 ms 14416 KB Output is correct
26 Correct 72 ms 14484 KB Output is correct
27 Correct 74 ms 14284 KB Output is correct
28 Correct 73 ms 14420 KB Output is correct
29 Correct 75 ms 14516 KB Output is correct
30 Correct 75 ms 14416 KB Output is correct
31 Correct 1 ms 4440 KB Output is correct
32 Correct 1 ms 4440 KB Output is correct
33 Correct 1 ms 4440 KB Output is correct
34 Correct 1 ms 4440 KB Output is correct
35 Correct 1 ms 4440 KB Output is correct
36 Correct 1 ms 4440 KB Output is correct
37 Correct 1 ms 4444 KB Output is correct
38 Correct 1 ms 4440 KB Output is correct
39 Correct 1 ms 4440 KB Output is correct
40 Correct 1 ms 4440 KB Output is correct
41 Correct 1 ms 4440 KB Output is correct
42 Correct 1 ms 4440 KB Output is correct
43 Correct 1 ms 4444 KB Output is correct
44 Correct 1 ms 4444 KB Output is correct
45 Correct 1 ms 4440 KB Output is correct
46 Incorrect 1 ms 4440 KB Output isn't correct
47 Halted 0 ms 0 KB -