oj.uz

Submission #736041

# Submission time Handle Problem Language Result Execution time Memory
736041 2023-05-05T07:05:55 Z Marceantasy Feast (NOI19_feast) C++17
100 / 100
 618 ms 24544 KB 
#include <bits/stdc++.h>
using namespace std;
 
#define ll long long 
#define ar array
#define rep(i, n) for(int i = 0; i<(int)n; ++i)
 
const int mxN = 3e5+5, M = 1e9+7; 
int n, k;
ll a[mxN];
pair<long double, int> dp[2][mxN];

ll f(long double lambda){
    dp[0][0] = {0, 0};
    dp[1][0] = {a[0]-lambda, 1};
    for(int i = 1; i<n; ++i){
        dp[0][i] = max(dp[0][i-1], dp[1][i-1]);
        dp[1][i] = max(make_pair(dp[0][i-1].first+a[i]-lambda, dp[0][i-1].second+1), make_pair(dp[1][i-1].first+a[i], dp[1][i-1].second));
    }
    return max(dp[0][n-1], dp[1][n-1]).second;
}

void solve(){
    cin >> n >> k;
    rep(i, n) cin >> a[i];
    long double l = 0, r = 1e17;
    rep(_, 100){
        long double m = (l+r+1)/2;
        if(f(m) < k){
            r = m;
        }else{
            l = m;
        }
    }
    long double lambda = l;
    f(lambda);
    cout << (ll)round(lambda * k + max(dp[0][n-1], dp[1][n-1]).first);
}
 
int main(){
#ifdef _DEBUG
//	freopen("input.txt", "r", stdin);
//	freopen("output.txt", "w", stdout);
#endif
    std::ios_base::sync_with_stdio(false); std::cin.tie(0); std::cout.tie(0);
 
    solve();
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 315 ms 20684 KB Output is correct
2 Correct 315 ms 21176 KB Output is correct
3 Correct 323 ms 21416 KB Output is correct
4 Correct 314 ms 21280 KB Output is correct
5 Correct 328 ms 21068 KB Output is correct
6 Correct 302 ms 20812 KB Output is correct
7 Correct 378 ms 20800 KB Output is correct
8 Correct 335 ms 21220 KB Output is correct
9 Correct 366 ms 20940 KB Output is correct
10 Correct 325 ms 21068 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 351 ms 20940 KB Output is correct
2 Correct 320 ms 21404 KB Output is correct
3 Correct 323 ms 20820 KB Output is correct
4 Correct 347 ms 21096 KB Output is correct
5 Correct 336 ms 20788 KB Output is correct
6 Correct 364 ms 20948 KB Output is correct
7 Correct 346 ms 21436 KB Output is correct
8 Correct 394 ms 21312 KB Output is correct
9 Correct 399 ms 20760 KB Output is correct
10 Correct 378 ms 21296 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 425 ms 21216 KB Output is correct
2 Correct 472 ms 23932 KB Output is correct
3 Correct 446 ms 24160 KB Output is correct
4 Correct 404 ms 23884 KB Output is correct
5 Correct 436 ms 24256 KB Output is correct
6 Correct 427 ms 24264 KB Output is correct
7 Correct 418 ms 24388 KB Output is correct
8 Correct 401 ms 24140 KB Output is correct
9 Correct 410 ms 24544 KB Output is correct
10 Correct 400 ms 24368 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 1 ms 340 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 3 ms 468 KB Output is correct
22 Correct 4 ms 468 KB Output is correct
23 Correct 3 ms 468 KB Output is correct
24 Correct 4 ms 468 KB Output is correct
25 Correct 4 ms 472 KB Output is correct
26 Correct 4 ms 472 KB Output is correct
27 Correct 4 ms 468 KB Output is correct
28 Correct 3 ms 468 KB Output is correct
29 Correct 4 ms 504 KB Output is correct
30 Correct 3 ms 468 KB Output is correct

Subtask #7
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 315 ms 20684 KB Output is correct
2 Correct 315 ms 21176 KB Output is correct
3 Correct 323 ms 21416 KB Output is correct
4 Correct 314 ms 21280 KB Output is correct
5 Correct 328 ms 21068 KB Output is correct
6 Correct 302 ms 20812 KB Output is correct
7 Correct 378 ms 20800 KB Output is correct
8 Correct 335 ms 21220 KB Output is correct
9 Correct 366 ms 20940 KB Output is correct
10 Correct 325 ms 21068 KB Output is correct
11 Correct 351 ms 20940 KB Output is correct
12 Correct 320 ms 21404 KB Output is correct
13 Correct 323 ms 20820 KB Output is correct
14 Correct 347 ms 21096 KB Output is correct
15 Correct 336 ms 20788 KB Output is correct
16 Correct 364 ms 20948 KB Output is correct
17 Correct 346 ms 21436 KB Output is correct
18 Correct 394 ms 21312 KB Output is correct
19 Correct 399 ms 20760 KB Output is correct
20 Correct 378 ms 21296 KB Output is correct
21 Correct 425 ms 21216 KB Output is correct
22 Correct 472 ms 23932 KB Output is correct
23 Correct 446 ms 24160 KB Output is correct
24 Correct 404 ms 23884 KB Output is correct
25 Correct 436 ms 24256 KB Output is correct
26 Correct 427 ms 24264 KB Output is correct
27 Correct 418 ms 24388 KB Output is correct
28 Correct 401 ms 24140 KB Output is correct
29 Correct 410 ms 24544 KB Output is correct
30 Correct 400 ms 24368 KB Output is correct
31 Correct 0 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 1 ms 340 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 1 ms 340 KB Output is correct
45 Correct 1 ms 340 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 1 ms 340 KB Output is correct
48 Correct 1 ms 340 KB Output is correct
49 Correct 1 ms 336 KB Output is correct
50 Correct 1 ms 340 KB Output is correct
51 Correct 3 ms 468 KB Output is correct
52 Correct 4 ms 468 KB Output is correct
53 Correct 3 ms 468 KB Output is correct
54 Correct 4 ms 468 KB Output is correct
55 Correct 4 ms 472 KB Output is correct
56 Correct 4 ms 472 KB Output is correct
57 Correct 4 ms 468 KB Output is correct
58 Correct 3 ms 468 KB Output is correct
59 Correct 4 ms 504 KB Output is correct
60 Correct 3 ms 468 KB Output is correct
61 Correct 551 ms 23900 KB Output is correct
62 Correct 543 ms 24488 KB Output is correct
63 Correct 491 ms 23832 KB Output is correct
64 Correct 591 ms 24312 KB Output is correct
65 Correct 603 ms 24192 KB Output is correct
66 Correct 607 ms 24232 KB Output is correct
67 Correct 618 ms 23868 KB Output is correct
68 Correct 497 ms 24328 KB Output is correct
69 Correct 429 ms 23852 KB Output is correct
70 Correct 421 ms 23844 KB Output is correct