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Submission #614178

# Submission time Handle Problem Language Result Execution time Memory
614178 2022-07-30T21:11:16 Z tvladm K blocks (IZhO14_blocks) C++14
100 / 100
 463 ms 48380 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 0 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 724 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 724 KB Output is correct
9 Correct 0 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 724 KB Output is correct
5 Correct 1 ms 724 KB Output is correct
6 Correct 1 ms 724 KB Output is correct
7 Correct 0 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 0 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

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 724 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 724 KB Output is correct
9 Correct 0 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 724 KB Output is correct
23 Correct 1 ms 724 KB Output is correct
24 Correct 1 ms 724 KB Output is correct
25 Correct 0 ms 724 KB Output is correct
26 Correct 1 ms 724 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 724 KB Output is correct
32 Correct 1 ms 724 KB Output is correct
33 Correct 1 ms 724 KB Output is correct
34 Correct 0 ms 724 KB Output is correct
35 Correct 1 ms 724 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 724 KB Output is correct
39 Correct 1 ms 724 KB Output is correct
40 Correct 0 ms 596 KB Output is correct
41 Correct 1 ms 596 KB Output is correct
42 Correct 1 ms 724 KB Output is correct
43 Correct 0 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 724 KB Output is correct
47 Correct 0 ms 724 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 724 KB Output is correct
54 Correct 1 ms 724 KB Output is correct
55 Correct 1 ms 724 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 0 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 724 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 724 KB Output is correct
9 Correct 0 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 724 KB Output is correct
23 Correct 1 ms 724 KB Output is correct
24 Correct 1 ms 724 KB Output is correct
25 Correct 0 ms 724 KB Output is correct
26 Correct 1 ms 724 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 724 KB Output is correct
32 Correct 1 ms 724 KB Output is correct
33 Correct 1 ms 724 KB Output is correct
34 Correct 0 ms 724 KB Output is correct
35 Correct 1 ms 724 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 724 KB Output is correct
39 Correct 1 ms 724 KB Output is correct
40 Correct 0 ms 596 KB Output is correct
41 Correct 1 ms 596 KB Output is correct
42 Correct 1 ms 724 KB Output is correct
43 Correct 0 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 724 KB Output is correct
47 Correct 0 ms 724 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 724 KB Output is correct
54 Correct 1 ms 724 KB Output is correct
55 Correct 1 ms 724 KB Output is correct
56 Correct 1 ms 724 KB Output is correct
57 Correct 1 ms 724 KB Output is correct
58 Correct 11 ms 5332 KB Output is correct
59 Correct 21 ms 18644 KB Output is correct
60 Correct 31 ms 21348 KB Output is correct
61 Correct 116 ms 21388 KB Output is correct
62 Correct 447 ms 48228 KB Output is correct
63 Correct 68 ms 48152 KB Output is correct
64 Correct 232 ms 48216 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 724 KB Output is correct
69 Correct 1 ms 1108 KB Output is correct
70 Correct 2 ms 1108 KB Output is correct
71 Correct 30 ms 5316 KB Output is correct
72 Correct 5 ms 5384 KB Output is correct
73 Correct 10 ms 5332 KB Output is correct
74 Correct 21 ms 18928 KB Output is correct
75 Correct 36 ms 21692 KB Output is correct
76 Correct 115 ms 21620 KB Output is correct
77 Correct 453 ms 48316 KB Output is correct
78 Correct 72 ms 48200 KB Output is correct
79 Correct 240 ms 48236 KB Output is correct
80 Correct 48 ms 41676 KB Output is correct
81 Correct 85 ms 48236 KB Output is correct
82 Correct 463 ms 48236 KB Output is correct
83 Correct 1 ms 1108 KB Output is correct
84 Correct 2 ms 1108 KB Output is correct
85 Correct 37 ms 5412 KB Output is correct
86 Correct 6 ms 5388 KB Output is correct
87 Correct 11 ms 5312 KB Output is correct
88 Correct 29 ms 18904 KB Output is correct
89 Correct 31 ms 21760 KB Output is correct
90 Correct 115 ms 21764 KB Output is correct
91 Correct 433 ms 48380 KB Output is correct
92 Correct 57 ms 48256 KB Output is correct
93 Correct 233 ms 48380 KB Output is correct
94 Correct 6 ms 5404 KB Output is correct
95 Correct 30 ms 5320 KB Output is correct
96 Correct 6 ms 1212 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