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Submission #697723

# Submission time Handle Problem Language Result Execution time Memory
697723 2023-02-10T22:24:20 Z thomas_li Feast (NOI19_feast) C++17
100 / 100
 199 ms 10592 KB 
#include <bits/stdc++.h>
using namespace std;
#define int int64_t
signed main(){
    cin.tie(0)->sync_with_stdio(0);
    int n,k; cin >> n >> k;
    vector<int> a(n); for(int& v : a) cin >> v;
    partial_sum(a.begin(),a.end(),a.begin());
    auto go = [&](int c){
        vector<int> dp(n+1,-1e18),cnt(n+1);
        dp[0] = 0;
        pair<int,int> mx = {0,0};
        pair<int,int> bst = {-1e18,0};
        for(int i = 1; i <= n; i++){
            dp[i] = dp[i-1]; cnt[i] = cnt[i-1];
            auto[adj, cntj] = mx; cntj *= -1;
            if(adj-c+a[i-1] > dp[i]){
                dp[i] = adj-c+a[i-1];
                cnt[i] = cntj+1;
            }
            mx = max(mx,{dp[i]-a[i-1],-cnt[i]});
            bst = max(bst,{dp[i],-cnt[i]});
        }
        bst.second *= -1;
        bst.first += c*bst.second;
        return bst;
    };
    /*
    for(int i = 0; i <= 10; i++){
        auto[res,cnt] = go(i);
        cout << i << ": " << cnt << " " << res << "\n";
    }*/
    int lo = 0, hi = 1e12;
    while(lo < hi){
        int mid = (lo+hi)/2;
        auto[res,cnt] = go(mid);
        if(cnt <= k) hi = mid;
        else lo = mid+1;
    }
    cout << go(lo).first << "\n";
}
// dp[i] = max{mx[j]+psa[i]-psa[j]-c}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 114 ms 7212 KB Output is correct
2 Correct 117 ms 7372 KB Output is correct
3 Correct 118 ms 7572 KB Output is correct
4 Correct 119 ms 7412 KB Output is correct
5 Correct 137 ms 7556 KB Output is correct
6 Correct 115 ms 7236 KB Output is correct
7 Correct 115 ms 7240 KB Output is correct
8 Correct 127 ms 7380 KB Output is correct
9 Correct 128 ms 7380 KB Output is correct
10 Correct 121 ms 7416 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 115 ms 7296 KB Output is correct
2 Correct 114 ms 7480 KB Output is correct
3 Correct 107 ms 7252 KB Output is correct
4 Correct 111 ms 7324 KB Output is correct
5 Correct 121 ms 7264 KB Output is correct
6 Correct 105 ms 7304 KB Output is correct
7 Correct 110 ms 7524 KB Output is correct
8 Correct 131 ms 7576 KB Output is correct
9 Correct 126 ms 7472 KB Output is correct
10 Correct 113 ms 7428 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 144 ms 7388 KB Output is correct
2 Correct 155 ms 10304 KB Output is correct
3 Correct 156 ms 10332 KB Output is correct
4 Correct 147 ms 10236 KB Output is correct
5 Correct 140 ms 10332 KB Output is correct
6 Correct 147 ms 10412 KB Output is correct
7 Correct 166 ms 10408 KB Output is correct
8 Correct 139 ms 10396 KB Output is correct
9 Correct 141 ms 10504 KB Output is correct
10 Correct 140 ms 10452 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 316 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 316 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 1 ms 340 KB Output is correct

Subtask #7
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 114 ms 7212 KB Output is correct
2 Correct 117 ms 7372 KB Output is correct
3 Correct 118 ms 7572 KB Output is correct
4 Correct 119 ms 7412 KB Output is correct
5 Correct 137 ms 7556 KB Output is correct
6 Correct 115 ms 7236 KB Output is correct
7 Correct 115 ms 7240 KB Output is correct
8 Correct 127 ms 7380 KB Output is correct
9 Correct 128 ms 7380 KB Output is correct
10 Correct 121 ms 7416 KB Output is correct
11 Correct 115 ms 7296 KB Output is correct
12 Correct 114 ms 7480 KB Output is correct
13 Correct 107 ms 7252 KB Output is correct
14 Correct 111 ms 7324 KB Output is correct
15 Correct 121 ms 7264 KB Output is correct
16 Correct 105 ms 7304 KB Output is correct
17 Correct 110 ms 7524 KB Output is correct
18 Correct 131 ms 7576 KB Output is correct
19 Correct 126 ms 7472 KB Output is correct
20 Correct 113 ms 7428 KB Output is correct
21 Correct 144 ms 7388 KB Output is correct
22 Correct 155 ms 10304 KB Output is correct
23 Correct 156 ms 10332 KB Output is correct
24 Correct 147 ms 10236 KB Output is correct
25 Correct 140 ms 10332 KB Output is correct
26 Correct 147 ms 10412 KB Output is correct
27 Correct 166 ms 10408 KB Output is correct
28 Correct 139 ms 10396 KB Output is correct
29 Correct 141 ms 10504 KB Output is correct
30 Correct 140 ms 10452 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 0 ms 212 KB Output is correct
35 Correct 0 ms 212 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 0 ms 212 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 1 ms 212 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 1 ms 212 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 1 ms 212 KB Output is correct
44 Correct 1 ms 212 KB Output is correct
45 Correct 1 ms 212 KB Output is correct
46 Correct 1 ms 316 KB Output is correct
47 Correct 1 ms 212 KB Output is correct
48 Correct 1 ms 212 KB Output is correct
49 Correct 1 ms 212 KB Output is correct
50 Correct 1 ms 212 KB Output is correct
51 Correct 1 ms 340 KB Output is correct
52 Correct 1 ms 340 KB Output is correct
53 Correct 1 ms 340 KB Output is correct
54 Correct 1 ms 340 KB Output is correct
55 Correct 1 ms 340 KB Output is correct
56 Correct 1 ms 364 KB Output is correct
57 Correct 1 ms 340 KB Output is correct
58 Correct 1 ms 340 KB Output is correct
59 Correct 1 ms 332 KB Output is correct
60 Correct 1 ms 340 KB Output is correct
61 Correct 186 ms 10276 KB Output is correct
62 Correct 199 ms 10592 KB Output is correct
63 Correct 152 ms 10200 KB Output is correct
64 Correct 184 ms 10440 KB Output is correct
65 Correct 196 ms 10368 KB Output is correct
66 Correct 183 ms 10340 KB Output is correct
67 Correct 191 ms 10368 KB Output is correct
68 Correct 172 ms 10420 KB Output is correct
69 Correct 138 ms 10228 KB Output is correct
70 Correct 136 ms 10176 KB Output is correct