oj.uz

Submission #638054

# Submission time Handle Problem Language Result Execution time Memory
638054 2022-09-04T12:46:45 Z tvladm2009 K blocks (IZhO14_blocks) C++14
100 / 100
 475 ms 48416 KB 
#include <iostream>
#include <stack>
 
using namespace std;
 
const int MAX_N = 1e5;
const int MAX_K = 1e2;
const int MAX_L = 17;
const int INF = (1 << 30);
int a[MAX_N + 1], l[MAX_N + 1];
int dp[MAX_N + 1][MAX_K + 1], rmq[MAX_L + 1][MAX_N + 1], log[MAX_N + 1];
int n, k;
 
void precalc() {
    stack<int> st;
    for (int i = 1; i <= n; i++) {
        while (!st.empty() && a[i] >= a[st.top()]) {
            st.pop();
        }
        if (st.empty()) {
            l[i] = 0;
        } else {
            l[i] = st.top();
        }
        st.push(i);
    }
}
 
void build()  {
    for (int i = 1; i <= MAX_L; i++) {
        for (int j = 1; j <= n; j++) {
            if (j + (1 << (i - 1)) <= n) {
                rmq[i][j] = min(rmq[i - 1][j], rmq[i - 1][j + (1 << (i - 1))]);
            }
        }
    }
}
 
int query(int l, int r) {
    int p = log[r - l + 1];
    return min(rmq[p][l], rmq[p][r - (1 << p) + 1]);
}
 
int main() {
    cin >> n >> k;
    for (int i = 1; i <= n; i++) {
        cin >> a[i];
    }
    for (int i = 1; i <= n; i++) {
        for (int j = 1; j <= k; j++) {
            dp[i][j] = INF;
        }
    }
    int mx = 0;
    for (int i = 1; i <= n; i++) {
        mx = max(mx, a[i]);
        dp[i][1] = mx;
    }
    precalc();
    for (int i = 2; i <= MAX_N; i++) {
        log[i] = log[i >> 1] + 1;
    }
    for (int blocks = 2; blocks <= k; blocks++) {
        for (int i = 1; i <= n; i++) {
            rmq[0][i] = dp[i][blocks - 1];
        }
        build();
        for (int i = blocks; i <= n; i++) {
            if (l[i] == 0) {
                dp[i][blocks] = a[i] + query(1, i - 1);
            } else {
                dp[i][blocks] = min(dp[l[i]][blocks], a[i] + query(l[i], i - 1));
            }
        }
    }
    cout << dp[n][k];
    return 0;
}

Compilation message

blocks.cpp:11:58: warning: built-in function 'log' declared as non-function [-Wbuiltin-declaration-mismatch]
   11 | int dp[MAX_N + 1][MAX_K + 1], rmq[MAX_L + 1][MAX_N + 1], log[MAX_N + 1];
      |                                                          ^~~

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 724 KB Output is correct
2 Correct 1 ms 724 KB Output is correct
3 Correct 1 ms 724 KB Output is correct
4 Correct 1 ms 692 KB Output is correct
5 Correct 1 ms 724 KB Output is correct
6 Correct 1 ms 696 KB Output is correct
7 Correct 1 ms 724 KB Output is correct
8 Correct 1 ms 724 KB Output is correct
9 Correct 1 ms 724 KB Output is correct
10 Correct 1 ms 724 KB Output is correct
11 Correct 1 ms 724 KB Output is correct
12 Correct 1 ms 724 KB Output is correct
13 Correct 1 ms 724 KB Output is correct
14 Correct 1 ms 724 KB Output is correct
15 Correct 1 ms 724 KB Output is correct
16 Correct 1 ms 724 KB Output is correct
17 Correct 1 ms 724 KB Output is correct
18 Correct 1 ms 724 KB Output is correct

Subtask #2
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 724 KB Output is correct
2 Correct 1 ms 724 KB Output is correct
3 Correct 1 ms 724 KB Output is correct
4 Correct 1 ms 692 KB Output is correct
5 Correct 1 ms 724 KB Output is correct
6 Correct 1 ms 724 KB Output is correct
7 Correct 1 ms 724 KB Output is correct
8 Correct 1 ms 692 KB Output is correct
9 Correct 1 ms 724 KB Output is correct
10 Correct 1 ms 724 KB Output is correct
11 Correct 1 ms 724 KB Output is correct
12 Correct 1 ms 724 KB Output is correct
13 Correct 1 ms 692 KB Output is correct
14 Correct 1 ms 724 KB Output is correct
15 Correct 1 ms 724 KB Output is correct
16 Correct 1 ms 724 KB Output is correct
17 Correct 1 ms 692 KB Output is correct
18 Correct 1 ms 724 KB Output is correct
19 Correct 1 ms 724 KB Output is correct
20 Correct 1 ms 688 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 724 KB Output is correct
2 Correct 1 ms 724 KB Output is correct
3 Correct 1 ms 724 KB Output is correct
4 Correct 1 ms 692 KB Output is correct
5 Correct 1 ms 724 KB Output is correct
6 Correct 1 ms 696 KB Output is correct
7 Correct 1 ms 724 KB Output is correct
8 Correct 1 ms 724 KB Output is correct
9 Correct 1 ms 724 KB Output is correct
10 Correct 1 ms 724 KB Output is correct
11 Correct 1 ms 724 KB Output is correct
12 Correct 1 ms 724 KB Output is correct
13 Correct 1 ms 724 KB Output is correct
14 Correct 1 ms 724 KB Output is correct
15 Correct 1 ms 724 KB Output is correct
16 Correct 1 ms 724 KB Output is correct
17 Correct 1 ms 724 KB Output is correct
18 Correct 1 ms 724 KB Output is correct
19 Correct 1 ms 724 KB Output is correct
20 Correct 1 ms 724 KB Output is correct
21 Correct 1 ms 724 KB Output is correct
22 Correct 1 ms 692 KB Output is correct
23 Correct 1 ms 724 KB Output is correct
24 Correct 1 ms 724 KB Output is correct
25 Correct 1 ms 724 KB Output is correct
26 Correct 1 ms 692 KB Output is correct
27 Correct 1 ms 724 KB Output is correct
28 Correct 1 ms 724 KB Output is correct
29 Correct 1 ms 724 KB Output is correct
30 Correct 1 ms 724 KB Output is correct
31 Correct 1 ms 692 KB Output is correct
32 Correct 1 ms 724 KB Output is correct
33 Correct 1 ms 724 KB Output is correct
34 Correct 1 ms 724 KB Output is correct
35 Correct 1 ms 692 KB Output is correct
36 Correct 1 ms 724 KB Output is correct
37 Correct 1 ms 724 KB Output is correct
38 Correct 1 ms 688 KB Output is correct
39 Correct 1 ms 724 KB Output is correct
40 Correct 1 ms 724 KB Output is correct
41 Correct 1 ms 692 KB Output is correct
42 Correct 1 ms 724 KB Output is correct
43 Correct 1 ms 724 KB Output is correct
44 Correct 1 ms 724 KB Output is correct
45 Correct 1 ms 724 KB Output is correct
46 Correct 1 ms 848 KB Output is correct
47 Correct 1 ms 688 KB Output is correct
48 Correct 1 ms 724 KB Output is correct
49 Correct 1 ms 724 KB Output is correct
50 Correct 1 ms 724 KB Output is correct
51 Correct 1 ms 724 KB Output is correct
52 Correct 1 ms 724 KB Output is correct
53 Correct 1 ms 692 KB Output is correct
54 Correct 1 ms 724 KB Output is correct
55 Correct 1 ms 688 KB Output is correct
56 Correct 1 ms 724 KB Output is correct
57 Correct 1 ms 724 KB Output is correct

Subtask #4
47.0 / 47.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 724 KB Output is correct
2 Correct 1 ms 724 KB Output is correct
3 Correct 1 ms 724 KB Output is correct
4 Correct 1 ms 692 KB Output is correct
5 Correct 1 ms 724 KB Output is correct
6 Correct 1 ms 696 KB Output is correct
7 Correct 1 ms 724 KB Output is correct
8 Correct 1 ms 724 KB Output is correct
9 Correct 1 ms 724 KB Output is correct
10 Correct 1 ms 724 KB Output is correct
11 Correct 1 ms 724 KB Output is correct
12 Correct 1 ms 724 KB Output is correct
13 Correct 1 ms 724 KB Output is correct
14 Correct 1 ms 724 KB Output is correct
15 Correct 1 ms 724 KB Output is correct
16 Correct 1 ms 724 KB Output is correct
17 Correct 1 ms 724 KB Output is correct
18 Correct 1 ms 724 KB Output is correct
19 Correct 1 ms 724 KB Output is correct
20 Correct 1 ms 724 KB Output is correct
21 Correct 1 ms 724 KB Output is correct
22 Correct 1 ms 692 KB Output is correct
23 Correct 1 ms 724 KB Output is correct
24 Correct 1 ms 724 KB Output is correct
25 Correct 1 ms 724 KB Output is correct
26 Correct 1 ms 692 KB Output is correct
27 Correct 1 ms 724 KB Output is correct
28 Correct 1 ms 724 KB Output is correct
29 Correct 1 ms 724 KB Output is correct
30 Correct 1 ms 724 KB Output is correct
31 Correct 1 ms 692 KB Output is correct
32 Correct 1 ms 724 KB Output is correct
33 Correct 1 ms 724 KB Output is correct
34 Correct 1 ms 724 KB Output is correct
35 Correct 1 ms 692 KB Output is correct
36 Correct 1 ms 724 KB Output is correct
37 Correct 1 ms 724 KB Output is correct
38 Correct 1 ms 688 KB Output is correct
39 Correct 1 ms 724 KB Output is correct
40 Correct 1 ms 724 KB Output is correct
41 Correct 1 ms 692 KB Output is correct
42 Correct 1 ms 724 KB Output is correct
43 Correct 1 ms 724 KB Output is correct
44 Correct 1 ms 724 KB Output is correct
45 Correct 1 ms 724 KB Output is correct
46 Correct 1 ms 848 KB Output is correct
47 Correct 1 ms 688 KB Output is correct
48 Correct 1 ms 724 KB Output is correct
49 Correct 1 ms 724 KB Output is correct
50 Correct 1 ms 724 KB Output is correct
51 Correct 1 ms 724 KB Output is correct
52 Correct 1 ms 724 KB Output is correct
53 Correct 1 ms 692 KB Output is correct
54 Correct 1 ms 724 KB Output is correct
55 Correct 1 ms 688 KB Output is correct
56 Correct 1 ms 724 KB Output is correct
57 Correct 1 ms 724 KB Output is correct
58 Correct 10 ms 5332 KB Output is correct
59 Correct 20 ms 18896 KB Output is correct
60 Correct 28 ms 21668 KB Output is correct
61 Correct 112 ms 21688 KB Output is correct
62 Correct 475 ms 48148 KB Output is correct
63 Correct 53 ms 48204 KB Output is correct
64 Correct 225 ms 48232 KB Output is correct
65 Correct 1 ms 724 KB Output is correct
66 Correct 1 ms 724 KB Output is correct
67 Correct 1 ms 724 KB Output is correct
68 Correct 1 ms 688 KB Output is correct
69 Correct 1 ms 1080 KB Output is correct
70 Correct 1 ms 1108 KB Output is correct
71 Correct 26 ms 5332 KB Output is correct
72 Correct 5 ms 5312 KB Output is correct
73 Correct 10 ms 5332 KB Output is correct
74 Correct 20 ms 18924 KB Output is correct
75 Correct 28 ms 21580 KB Output is correct
76 Correct 116 ms 21688 KB Output is correct
77 Correct 412 ms 48224 KB Output is correct
78 Correct 52 ms 48160 KB Output is correct
79 Correct 216 ms 48232 KB Output is correct
80 Correct 44 ms 41644 KB Output is correct
81 Correct 87 ms 48184 KB Output is correct
82 Correct 422 ms 48236 KB Output is correct
83 Correct 2 ms 1108 KB Output is correct
84 Correct 2 ms 1108 KB Output is correct
85 Correct 28 ms 5412 KB Output is correct
86 Correct 5 ms 5392 KB Output is correct
87 Correct 15 ms 5428 KB Output is correct
88 Correct 27 ms 18948 KB Output is correct
89 Correct 30 ms 21708 KB Output is correct
90 Correct 109 ms 21688 KB Output is correct
91 Correct 400 ms 48416 KB Output is correct
92 Correct 59 ms 48328 KB Output is correct
93 Correct 209 ms 48276 KB Output is correct
94 Correct 5 ms 5332 KB Output is correct
95 Correct 28 ms 5316 KB Output is correct
96 Correct 1 ms 1108 KB Output is correct
97 Correct 1 ms 1108 KB Output is correct
98 Correct 1 ms 724 KB Output is correct
99 Correct 1 ms 724 KB Output is correct