Submission #846873

# Submission time Handle Problem Language Result Execution time Memory
846873 2023-09-08T14:56:28 Z BamshooT Feast (NOI19_feast) C++14
100 / 100
133 ms 30808 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(){
 
    for (int i = 1; i <= k; ++i){
        ll cur = 0;
        for (int j = 1; j <= n; ++j) {
            cur = max(cur, dp[i-1][j] - pre[j]);
            dp[i][j] = max(dp[i][j-1], cur + pre[j]);
        }
    }
    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});
    }
    //f[n].se *= -1;
    return f[n];
}
 
void sub2(){
    ll lo = 0, hi = 1e18, ans = 0;
    while (lo < hi) {
        ll mid = lo + hi >> 1;
        li tmp = calc(mid);
        if (tmp.se <= k) {
            hi = mid;
        } else lo = mid + 1;
    }
    li tmp = calc(lo);
    cout << tmp.fi + k*lo;
}
 
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:54:21: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   54 |         ll mid = lo + hi >> 1;
      |                  ~~~^~~~
feast.cpp:52:27: warning: unused variable 'ans' [-Wunused-variable]
   52 |     ll lo = 0, hi = 1e18, ans = 0;
      |                           ^~~
# Verdict Execution time Memory Grader output
1 Correct 53 ms 11344 KB Output is correct
2 Correct 54 ms 11464 KB Output is correct
3 Correct 54 ms 11268 KB Output is correct
4 Correct 56 ms 11356 KB Output is correct
5 Correct 58 ms 11380 KB Output is correct
6 Correct 53 ms 11320 KB Output is correct
7 Correct 67 ms 11604 KB Output is correct
8 Correct 56 ms 11448 KB Output is correct
9 Correct 58 ms 11404 KB Output is correct
10 Correct 59 ms 11428 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 55 ms 11416 KB Output is correct
2 Correct 55 ms 11356 KB Output is correct
3 Correct 52 ms 11352 KB Output is correct
4 Correct 50 ms 11352 KB Output is correct
5 Correct 55 ms 11356 KB Output is correct
6 Correct 51 ms 11404 KB Output is correct
7 Correct 57 ms 11352 KB Output is correct
8 Correct 58 ms 11356 KB Output is correct
9 Correct 55 ms 11348 KB Output is correct
10 Correct 54 ms 11456 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 80 ms 11452 KB Output is correct
2 Correct 85 ms 11344 KB Output is correct
3 Correct 81 ms 11440 KB Output is correct
4 Correct 83 ms 11348 KB Output is correct
5 Correct 81 ms 11440 KB Output is correct
6 Correct 83 ms 11348 KB Output is correct
7 Correct 81 ms 11348 KB Output is correct
8 Correct 80 ms 11348 KB Output is correct
9 Correct 85 ms 11464 KB Output is correct
10 Correct 88 ms 11296 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2648 KB Output is correct
2 Correct 1 ms 2652 KB Output is correct
3 Correct 1 ms 2392 KB Output is correct
4 Correct 1 ms 2392 KB Output is correct
5 Correct 1 ms 2392 KB Output is correct
6 Correct 1 ms 2392 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
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2648 KB Output is correct
2 Correct 1 ms 2652 KB Output is correct
3 Correct 1 ms 2392 KB Output is correct
4 Correct 1 ms 2392 KB Output is correct
5 Correct 1 ms 2392 KB Output is correct
6 Correct 1 ms 2392 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 2652 KB Output is correct
12 Correct 1 ms 2908 KB Output is correct
13 Correct 1 ms 2648 KB Output is correct
14 Correct 1 ms 2652 KB Output is correct
15 Correct 1 ms 2648 KB Output is correct
16 Correct 1 ms 2648 KB Output is correct
17 Correct 1 ms 2652 KB Output is correct
18 Correct 1 ms 2392 KB Output is correct
19 Correct 1 ms 2392 KB Output is correct
20 Correct 1 ms 2400 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2648 KB Output is correct
2 Correct 1 ms 2652 KB Output is correct
3 Correct 1 ms 2392 KB Output is correct
4 Correct 1 ms 2392 KB Output is correct
5 Correct 1 ms 2392 KB Output is correct
6 Correct 1 ms 2392 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 2652 KB Output is correct
12 Correct 1 ms 2908 KB Output is correct
13 Correct 1 ms 2648 KB Output is correct
14 Correct 1 ms 2652 KB Output is correct
15 Correct 1 ms 2648 KB Output is correct
16 Correct 1 ms 2648 KB Output is correct
17 Correct 1 ms 2652 KB Output is correct
18 Correct 1 ms 2392 KB Output is correct
19 Correct 1 ms 2392 KB Output is correct
20 Correct 1 ms 2400 KB Output is correct
21 Correct 3 ms 5980 KB Output is correct
22 Correct 11 ms 30808 KB Output is correct
23 Correct 3 ms 10072 KB Output is correct
24 Correct 2 ms 5980 KB Output is correct
25 Correct 3 ms 8024 KB Output is correct
26 Correct 2 ms 5976 KB Output is correct
27 Correct 3 ms 8024 KB Output is correct
28 Correct 2 ms 2908 KB Output is correct
29 Correct 1 ms 2908 KB Output is correct
30 Correct 1 ms 2396 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 53 ms 11344 KB Output is correct
2 Correct 54 ms 11464 KB Output is correct
3 Correct 54 ms 11268 KB Output is correct
4 Correct 56 ms 11356 KB Output is correct
5 Correct 58 ms 11380 KB Output is correct
6 Correct 53 ms 11320 KB Output is correct
7 Correct 67 ms 11604 KB Output is correct
8 Correct 56 ms 11448 KB Output is correct
9 Correct 58 ms 11404 KB Output is correct
10 Correct 59 ms 11428 KB Output is correct
11 Correct 55 ms 11416 KB Output is correct
12 Correct 55 ms 11356 KB Output is correct
13 Correct 52 ms 11352 KB Output is correct
14 Correct 50 ms 11352 KB Output is correct
15 Correct 55 ms 11356 KB Output is correct
16 Correct 51 ms 11404 KB Output is correct
17 Correct 57 ms 11352 KB Output is correct
18 Correct 58 ms 11356 KB Output is correct
19 Correct 55 ms 11348 KB Output is correct
20 Correct 54 ms 11456 KB Output is correct
21 Correct 80 ms 11452 KB Output is correct
22 Correct 85 ms 11344 KB Output is correct
23 Correct 81 ms 11440 KB Output is correct
24 Correct 83 ms 11348 KB Output is correct
25 Correct 81 ms 11440 KB Output is correct
26 Correct 83 ms 11348 KB Output is correct
27 Correct 81 ms 11348 KB Output is correct
28 Correct 80 ms 11348 KB Output is correct
29 Correct 85 ms 11464 KB Output is correct
30 Correct 88 ms 11296 KB Output is correct
31 Correct 1 ms 2648 KB Output is correct
32 Correct 1 ms 2652 KB Output is correct
33 Correct 1 ms 2392 KB Output is correct
34 Correct 1 ms 2392 KB Output is correct
35 Correct 1 ms 2392 KB Output is correct
36 Correct 1 ms 2392 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 2652 KB Output is correct
42 Correct 1 ms 2908 KB Output is correct
43 Correct 1 ms 2648 KB Output is correct
44 Correct 1 ms 2652 KB Output is correct
45 Correct 1 ms 2648 KB Output is correct
46 Correct 1 ms 2648 KB Output is correct
47 Correct 1 ms 2652 KB Output is correct
48 Correct 1 ms 2392 KB Output is correct
49 Correct 1 ms 2392 KB Output is correct
50 Correct 1 ms 2400 KB Output is correct
51 Correct 3 ms 5980 KB Output is correct
52 Correct 11 ms 30808 KB Output is correct
53 Correct 3 ms 10072 KB Output is correct
54 Correct 2 ms 5980 KB Output is correct
55 Correct 3 ms 8024 KB Output is correct
56 Correct 2 ms 5976 KB Output is correct
57 Correct 3 ms 8024 KB Output is correct
58 Correct 2 ms 2908 KB Output is correct
59 Correct 1 ms 2908 KB Output is correct
60 Correct 1 ms 2396 KB Output is correct
61 Correct 133 ms 11412 KB Output is correct
62 Correct 108 ms 11468 KB Output is correct
63 Correct 90 ms 11404 KB Output is correct
64 Correct 114 ms 11452 KB Output is correct
65 Correct 125 ms 11452 KB Output is correct
66 Correct 114 ms 11352 KB Output is correct
67 Correct 114 ms 11412 KB Output is correct
68 Correct 83 ms 11356 KB Output is correct
69 Correct 83 ms 11352 KB Output is correct
70 Correct 84 ms 11600 KB Output is correct