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Submission #955877

# Submission time Handle Problem Language Result Execution time Memory
955877 2024-03-31T15:56:18 Z gaoxam123 K blocks (IZhO14_blocks) C++14
100 / 100
 151 ms 43100 KB 
// https://oj.uz/problem/view/IZhO14_blocks
#include <bits/stdc++.h>
using namespace std;

int N, K;
int a[100005], dp[105][100005], L[100005];

// int main() {
//     cin >> N >> K;
//     memset(dp, 1000000, sizeof(dp));
//     for(int i = 1; i <= N; i ++) {
//         cin >> a[i];
//     }
//     // THIS VERSION IS NOT OPTIMIZED, BUT WORKS PROPERLY
//     for(int i = 1; i <= K; i ++) {
//         for(int j = i; j <= N; j ++) {
//             if(i == 1) {
//                 if(j == 1) {
//                     dp[i][j] = a[j];
//                 }
//                 else {
//                     dp[i][j] = max(dp[i][j - 1], a[j]);
//                 }
//             }
//             else if(i == j) {
//                 dp[i][j] = dp[i - 1][j - 1] + a[j];
//             }
//             else {
//                 int mx = a[j];
//                 for(int k = j - 1; k >= i - 1; k --) {
//                     dp[i][j] = min(dp[i][j], dp[i - 1][k] + mx);
//                     mx = max(mx, a[k]);
//                 }
//             }       
//         }
//     }
//     cout << dp[K][N];
// }

int main() {
    cin >> N >> K;
    memset(dp, 1000000, sizeof(dp));
    for(int i = 1; i <= N; i ++) {
        cin >> a[i];
    }  
    dp[1][0] = 0;
    for(int i = 1; i <= N; i ++) {
        dp[1][i] = max(dp[1][i - 1], a[i]);
    }
    for(int i = 2; i <= K; i ++) {
        stack <pair <int, int> > st;
        for(int j = i; j <= N; j ++) {
            int minDP = dp[i - 1][j - 1];
            while(!st.empty() && a[st.top().second] <= a[j]) {
                minDP = min(minDP, st.top().first);
                st.pop();
            }
            dp[i][j] = min(minDP + a[j], dp[i][st.empty() ? 0 : st.top().second]);
            st.push(make_pair(minDP, j));
        }
    }
    cout << dp[K][N];
}

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 41560 KB Output is correct
2 Correct 5 ms 41564 KB Output is correct
3 Correct 7 ms 41564 KB Output is correct
4 Correct 7 ms 41560 KB Output is correct
5 Correct 6 ms 41564 KB Output is correct
6 Correct 7 ms 41564 KB Output is correct
7 Correct 6 ms 41564 KB Output is correct
8 Correct 7 ms 41664 KB Output is correct
9 Correct 6 ms 41564 KB Output is correct
10 Correct 6 ms 41696 KB Output is correct
11 Correct 6 ms 41816 KB Output is correct
12 Correct 6 ms 41564 KB Output is correct
13 Correct 6 ms 41560 KB Output is correct
14 Correct 6 ms 41564 KB Output is correct
15 Correct 7 ms 41664 KB Output is correct
16 Correct 6 ms 41572 KB Output is correct
17 Correct 6 ms 41564 KB Output is correct
18 Correct 8 ms 41564 KB Output is correct

Subtask #2
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 41564 KB Output is correct
2 Correct 6 ms 41560 KB Output is correct
3 Correct 6 ms 41564 KB Output is correct
4 Correct 7 ms 41752 KB Output is correct
5 Correct 6 ms 41560 KB Output is correct
6 Correct 6 ms 41564 KB Output is correct
7 Correct 6 ms 41716 KB Output is correct
8 Correct 6 ms 41564 KB Output is correct
9 Correct 8 ms 41564 KB Output is correct
10 Correct 8 ms 41820 KB Output is correct
11 Correct 7 ms 41564 KB Output is correct
12 Correct 6 ms 41708 KB Output is correct
13 Correct 7 ms 41564 KB Output is correct
14 Correct 6 ms 41704 KB Output is correct
15 Correct 6 ms 41564 KB Output is correct
16 Correct 8 ms 41564 KB Output is correct
17 Correct 6 ms 41564 KB Output is correct
18 Correct 7 ms 41564 KB Output is correct
19 Correct 6 ms 41564 KB Output is correct
20 Correct 7 ms 41564 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 41560 KB Output is correct
2 Correct 5 ms 41564 KB Output is correct
3 Correct 7 ms 41564 KB Output is correct
4 Correct 7 ms 41560 KB Output is correct
5 Correct 6 ms 41564 KB Output is correct
6 Correct 7 ms 41564 KB Output is correct
7 Correct 6 ms 41564 KB Output is correct
8 Correct 7 ms 41664 KB Output is correct
9 Correct 6 ms 41564 KB Output is correct
10 Correct 6 ms 41696 KB Output is correct
11 Correct 6 ms 41816 KB Output is correct
12 Correct 6 ms 41564 KB Output is correct
13 Correct 6 ms 41560 KB Output is correct
14 Correct 6 ms 41564 KB Output is correct
15 Correct 7 ms 41664 KB Output is correct
16 Correct 6 ms 41572 KB Output is correct
17 Correct 6 ms 41564 KB Output is correct
18 Correct 8 ms 41564 KB Output is correct
19 Correct 6 ms 41564 KB Output is correct
20 Correct 6 ms 41560 KB Output is correct
21 Correct 6 ms 41564 KB Output is correct
22 Correct 7 ms 41752 KB Output is correct
23 Correct 6 ms 41560 KB Output is correct
24 Correct 6 ms 41564 KB Output is correct
25 Correct 6 ms 41716 KB Output is correct
26 Correct 6 ms 41564 KB Output is correct
27 Correct 8 ms 41564 KB Output is correct
28 Correct 8 ms 41820 KB Output is correct
29 Correct 7 ms 41564 KB Output is correct
30 Correct 6 ms 41708 KB Output is correct
31 Correct 7 ms 41564 KB Output is correct
32 Correct 6 ms 41704 KB Output is correct
33 Correct 6 ms 41564 KB Output is correct
34 Correct 8 ms 41564 KB Output is correct
35 Correct 6 ms 41564 KB Output is correct
36 Correct 7 ms 41564 KB Output is correct
37 Correct 6 ms 41564 KB Output is correct
38 Correct 7 ms 41564 KB Output is correct
39 Correct 7 ms 41736 KB Output is correct
40 Correct 9 ms 41564 KB Output is correct
41 Correct 7 ms 41564 KB Output is correct
42 Correct 8 ms 41564 KB Output is correct
43 Correct 8 ms 41564 KB Output is correct
44 Correct 5 ms 41564 KB Output is correct
45 Correct 8 ms 41564 KB Output is correct
46 Correct 6 ms 41720 KB Output is correct
47 Correct 7 ms 41676 KB Output is correct
48 Correct 6 ms 41564 KB Output is correct
49 Correct 8 ms 41564 KB Output is correct
50 Correct 8 ms 41676 KB Output is correct
51 Correct 7 ms 41728 KB Output is correct
52 Correct 6 ms 41736 KB Output is correct
53 Correct 7 ms 41564 KB Output is correct
54 Correct 6 ms 41684 KB Output is correct
55 Correct 6 ms 41564 KB Output is correct
56 Correct 6 ms 41564 KB Output is correct
57 Correct 6 ms 41564 KB Output is correct

Subtask #4
47.0 / 47.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 41560 KB Output is correct
2 Correct 5 ms 41564 KB Output is correct
3 Correct 7 ms 41564 KB Output is correct
4 Correct 7 ms 41560 KB Output is correct
5 Correct 6 ms 41564 KB Output is correct
6 Correct 7 ms 41564 KB Output is correct
7 Correct 6 ms 41564 KB Output is correct
8 Correct 7 ms 41664 KB Output is correct
9 Correct 6 ms 41564 KB Output is correct
10 Correct 6 ms 41696 KB Output is correct
11 Correct 6 ms 41816 KB Output is correct
12 Correct 6 ms 41564 KB Output is correct
13 Correct 6 ms 41560 KB Output is correct
14 Correct 6 ms 41564 KB Output is correct
15 Correct 7 ms 41664 KB Output is correct
16 Correct 6 ms 41572 KB Output is correct
17 Correct 6 ms 41564 KB Output is correct
18 Correct 8 ms 41564 KB Output is correct
19 Correct 6 ms 41564 KB Output is correct
20 Correct 6 ms 41560 KB Output is correct
21 Correct 6 ms 41564 KB Output is correct
22 Correct 7 ms 41752 KB Output is correct
23 Correct 6 ms 41560 KB Output is correct
24 Correct 6 ms 41564 KB Output is correct
25 Correct 6 ms 41716 KB Output is correct
26 Correct 6 ms 41564 KB Output is correct
27 Correct 8 ms 41564 KB Output is correct
28 Correct 8 ms 41820 KB Output is correct
29 Correct 7 ms 41564 KB Output is correct
30 Correct 6 ms 41708 KB Output is correct
31 Correct 7 ms 41564 KB Output is correct
32 Correct 6 ms 41704 KB Output is correct
33 Correct 6 ms 41564 KB Output is correct
34 Correct 8 ms 41564 KB Output is correct
35 Correct 6 ms 41564 KB Output is correct
36 Correct 7 ms 41564 KB Output is correct
37 Correct 6 ms 41564 KB Output is correct
38 Correct 7 ms 41564 KB Output is correct
39 Correct 7 ms 41736 KB Output is correct
40 Correct 9 ms 41564 KB Output is correct
41 Correct 7 ms 41564 KB Output is correct
42 Correct 8 ms 41564 KB Output is correct
43 Correct 8 ms 41564 KB Output is correct
44 Correct 5 ms 41564 KB Output is correct
45 Correct 8 ms 41564 KB Output is correct
46 Correct 6 ms 41720 KB Output is correct
47 Correct 7 ms 41676 KB Output is correct
48 Correct 6 ms 41564 KB Output is correct
49 Correct 8 ms 41564 KB Output is correct
50 Correct 8 ms 41676 KB Output is correct
51 Correct 7 ms 41728 KB Output is correct
52 Correct 6 ms 41736 KB Output is correct
53 Correct 7 ms 41564 KB Output is correct
54 Correct 6 ms 41684 KB Output is correct
55 Correct 6 ms 41564 KB Output is correct
56 Correct 6 ms 41564 KB Output is correct
57 Correct 6 ms 41564 KB Output is correct
58 Correct 11 ms 41820 KB Output is correct
59 Correct 17 ms 42332 KB Output is correct
60 Correct 20 ms 42192 KB Output is correct
61 Correct 45 ms 42208 KB Output is correct
62 Correct 115 ms 42800 KB Output is correct
63 Correct 30 ms 42640 KB Output is correct
64 Correct 66 ms 42752 KB Output is correct
65 Correct 6 ms 41560 KB Output is correct
66 Correct 6 ms 41564 KB Output is correct
67 Correct 7 ms 41660 KB Output is correct
68 Correct 6 ms 41564 KB Output is correct
69 Correct 7 ms 41668 KB Output is correct
70 Correct 7 ms 41564 KB Output is correct
71 Correct 19 ms 41820 KB Output is correct
72 Correct 10 ms 41820 KB Output is correct
73 Correct 13 ms 41860 KB Output is correct
74 Correct 17 ms 42124 KB Output is correct
75 Correct 19 ms 42272 KB Output is correct
76 Correct 59 ms 42184 KB Output is correct
77 Correct 145 ms 42796 KB Output is correct
78 Correct 36 ms 42748 KB Output is correct
79 Correct 85 ms 42564 KB Output is correct
80 Correct 32 ms 42656 KB Output is correct
81 Correct 42 ms 42800 KB Output is correct
82 Correct 151 ms 42804 KB Output is correct
83 Correct 8 ms 41564 KB Output is correct
84 Correct 7 ms 41564 KB Output is correct
85 Correct 17 ms 41820 KB Output is correct
86 Correct 8 ms 41672 KB Output is correct
87 Correct 11 ms 41832 KB Output is correct
88 Correct 17 ms 42232 KB Output is correct
89 Correct 21 ms 42144 KB Output is correct
90 Correct 48 ms 42332 KB Output is correct
91 Correct 140 ms 43100 KB Output is correct
92 Correct 31 ms 42996 KB Output is correct
93 Correct 79 ms 43084 KB Output is correct
94 Correct 8 ms 41836 KB Output is correct
95 Correct 15 ms 41704 KB Output is correct
96 Correct 6 ms 41712 KB Output is correct
97 Correct 7 ms 41564 KB Output is correct
98 Correct 6 ms 41560 KB Output is correct
99 Correct 7 ms 41564 KB Output is correct