Submission #846704

# Submission time Handle Problem Language Result Execution time Memory
846704 2023-09-08T09:24:49 Z BamshooT Feast (NOI19_feast) C++14
40 / 100
81 ms 11600 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 = 0;
        for (int i = 1; i <= n; ++i) {
            dp[t][i] = max(dp[t][i-1], pre[i] + mx);
          	mx = max(mx, dp[t-1][i] - pre[i]); 
        }
    }
    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 54 ms 11344 KB Output is correct
2 Correct 55 ms 11344 KB Output is correct
3 Correct 56 ms 11344 KB Output is correct
4 Correct 55 ms 11352 KB Output is correct
5 Correct 56 ms 11344 KB Output is correct
6 Correct 54 ms 11348 KB Output is correct
7 Correct 54 ms 11344 KB Output is correct
8 Correct 46 ms 11352 KB Output is correct
9 Correct 44 ms 11352 KB Output is correct
10 Correct 46 ms 11344 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 47 ms 11352 KB Output is correct
2 Correct 46 ms 11352 KB Output is correct
3 Correct 43 ms 11252 KB Output is correct
4 Correct 46 ms 11352 KB Output is correct
5 Correct 46 ms 11352 KB Output is correct
6 Correct 45 ms 11352 KB Output is correct
7 Correct 47 ms 11352 KB Output is correct
8 Correct 46 ms 11240 KB Output is correct
9 Correct 45 ms 11356 KB Output is correct
10 Correct 47 ms 11352 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 81 ms 11600 KB Output is correct
2 Correct 71 ms 11252 KB Output is correct
3 Correct 72 ms 11444 KB Output is correct
4 Correct 71 ms 11416 KB Output is correct
5 Correct 71 ms 11344 KB Output is correct
6 Correct 71 ms 11452 KB Output is correct
7 Correct 73 ms 11344 KB Output is correct
8 Correct 70 ms 11440 KB Output is correct
9 Correct 72 ms 11348 KB Output is correct
10 Correct 72 ms 11280 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 4444 KB Output is correct
9 Correct 1 ms 4440 KB Output is correct
10 Correct 1 ms 4444 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 4444 KB Output is correct
9 Correct 1 ms 4440 KB Output is correct
10 Correct 1 ms 4444 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 4440 KB Output is correct
14 Correct 1 ms 4440 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 4444 KB Output is correct
9 Correct 1 ms 4440 KB Output is correct
10 Correct 1 ms 4444 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 4440 KB Output is correct
14 Correct 1 ms 4440 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 54 ms 11344 KB Output is correct
2 Correct 55 ms 11344 KB Output is correct
3 Correct 56 ms 11344 KB Output is correct
4 Correct 55 ms 11352 KB Output is correct
5 Correct 56 ms 11344 KB Output is correct
6 Correct 54 ms 11348 KB Output is correct
7 Correct 54 ms 11344 KB Output is correct
8 Correct 46 ms 11352 KB Output is correct
9 Correct 44 ms 11352 KB Output is correct
10 Correct 46 ms 11344 KB Output is correct
11 Correct 47 ms 11352 KB Output is correct
12 Correct 46 ms 11352 KB Output is correct
13 Correct 43 ms 11252 KB Output is correct
14 Correct 46 ms 11352 KB Output is correct
15 Correct 46 ms 11352 KB Output is correct
16 Correct 45 ms 11352 KB Output is correct
17 Correct 47 ms 11352 KB Output is correct
18 Correct 46 ms 11240 KB Output is correct
19 Correct 45 ms 11356 KB Output is correct
20 Correct 47 ms 11352 KB Output is correct
21 Correct 81 ms 11600 KB Output is correct
22 Correct 71 ms 11252 KB Output is correct
23 Correct 72 ms 11444 KB Output is correct
24 Correct 71 ms 11416 KB Output is correct
25 Correct 71 ms 11344 KB Output is correct
26 Correct 71 ms 11452 KB Output is correct
27 Correct 73 ms 11344 KB Output is correct
28 Correct 70 ms 11440 KB Output is correct
29 Correct 72 ms 11348 KB Output is correct
30 Correct 72 ms 11280 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 4444 KB Output is correct
39 Correct 1 ms 4440 KB Output is correct
40 Correct 1 ms 4444 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 4440 KB Output is correct
44 Correct 1 ms 4440 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 -