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Submission #652681

# Submission time Handle Problem Language Result Execution time Memory
652681 2022-10-23T18:08:05 Z Neos K blocks (IZhO14_blocks) C++14
100 / 100
 959 ms 85800 KB 
#include <bits/stdc++.h>
using namespace std;

#define fi first
#define se second
typedef long long ll;
typedef pair<ll, ll> ii;

const int N = 1e5 + 7, M = 107;

int n, k, a[N], L[N], dp[N][M];
stack<int> st;

int T[N][M];
void upd(int i, int j, int v) {
    for (; i <= n; i += i & -i) T[i][j] = min(T[i][j], v);
}

int get(int i, int l, int r) {
    int res = 2e9;
    while (l <= r) {
        if (r - (r & -r) >= l) {
            res = min(res, T[r][i]);
            r -= r & -r;
        }
        else {
            res = min(res, dp[r][i]);
            --r;
        }
    }
    return res;
}

int main() {
    ios::sync_with_stdio(0); cin.tie(0);
    cin >> n >> k;
    for (int i = 1; i <= n; i++) cin >> a[i];

    memset(dp, 0x3f, sizeof dp);
    memset(T, 0x3f, sizeof T);
    dp[0][1] = 0; 
    for (int i = 1; i <= n; i++) {
        dp[i][1] = max(dp[i - 1][1], a[i]);
        upd(i, 1, dp[i][1]);
    }
    for (int i = 1; i <= n; i++) {
        while (st.size() && a[st.top()] <= a[i]) st.pop();
        L[i] = (st.empty() ? 1 : st.top());
        if (st.empty()) {
            for (int j = 2; j <= min(i, k); j++) {
                dp[i][j] = get(j - 1, 1, i - 1) + a[i];
                upd(i, j, dp[i][j]);
            }
        }
        else {
            for (int j = 2; j <= min(i, k); j++) {
                dp[i][j] = min(dp[L[i]][j], get(j - 1, L[i], i - 1) + a[i]);
                upd(i, j, dp[i][j]);
            }
        }
        st.push(i);

        // f(i, j) = min(f(k - 1, j - 1) + max(a[k]..a[i]))
    }
    cout << dp[n][k];
}

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 32 ms 84052 KB Output is correct
2 Correct 32 ms 84048 KB Output is correct
3 Correct 35 ms 84044 KB Output is correct
4 Correct 33 ms 84016 KB Output is correct
5 Correct 33 ms 84060 KB Output is correct
6 Correct 34 ms 84052 KB Output is correct
7 Correct 33 ms 84052 KB Output is correct
8 Correct 32 ms 84020 KB Output is correct
9 Correct 33 ms 84000 KB Output is correct
10 Correct 33 ms 84040 KB Output is correct
11 Correct 32 ms 84072 KB Output is correct
12 Correct 32 ms 84044 KB Output is correct
13 Correct 34 ms 84048 KB Output is correct
14 Correct 32 ms 83996 KB Output is correct
15 Correct 34 ms 84076 KB Output is correct
16 Correct 34 ms 83996 KB Output is correct
17 Correct 36 ms 84044 KB Output is correct
18 Correct 35 ms 83984 KB Output is correct

Subtask #2
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 34 ms 84172 KB Output is correct
2 Correct 34 ms 84012 KB Output is correct
3 Correct 32 ms 84020 KB Output is correct
4 Correct 33 ms 84064 KB Output is correct
5 Correct 35 ms 83988 KB Output is correct
6 Correct 35 ms 84040 KB Output is correct
7 Correct 32 ms 83964 KB Output is correct
8 Correct 33 ms 84044 KB Output is correct
9 Correct 37 ms 84028 KB Output is correct
10 Correct 33 ms 84044 KB Output is correct
11 Correct 37 ms 84068 KB Output is correct
12 Correct 33 ms 84004 KB Output is correct
13 Correct 33 ms 84044 KB Output is correct
14 Correct 33 ms 84044 KB Output is correct
15 Correct 32 ms 83964 KB Output is correct
16 Correct 34 ms 84060 KB Output is correct
17 Correct 32 ms 83988 KB Output is correct
18 Correct 33 ms 84068 KB Output is correct
19 Correct 36 ms 84096 KB Output is correct
20 Correct 34 ms 84040 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 32 ms 84052 KB Output is correct
2 Correct 32 ms 84048 KB Output is correct
3 Correct 35 ms 84044 KB Output is correct
4 Correct 33 ms 84016 KB Output is correct
5 Correct 33 ms 84060 KB Output is correct
6 Correct 34 ms 84052 KB Output is correct
7 Correct 33 ms 84052 KB Output is correct
8 Correct 32 ms 84020 KB Output is correct
9 Correct 33 ms 84000 KB Output is correct
10 Correct 33 ms 84040 KB Output is correct
11 Correct 32 ms 84072 KB Output is correct
12 Correct 32 ms 84044 KB Output is correct
13 Correct 34 ms 84048 KB Output is correct
14 Correct 32 ms 83996 KB Output is correct
15 Correct 34 ms 84076 KB Output is correct
16 Correct 34 ms 83996 KB Output is correct
17 Correct 36 ms 84044 KB Output is correct
18 Correct 35 ms 83984 KB Output is correct
19 Correct 34 ms 84172 KB Output is correct
20 Correct 34 ms 84012 KB Output is correct
21 Correct 32 ms 84020 KB Output is correct
22 Correct 33 ms 84064 KB Output is correct
23 Correct 35 ms 83988 KB Output is correct
24 Correct 35 ms 84040 KB Output is correct
25 Correct 32 ms 83964 KB Output is correct
26 Correct 33 ms 84044 KB Output is correct
27 Correct 37 ms 84028 KB Output is correct
28 Correct 33 ms 84044 KB Output is correct
29 Correct 37 ms 84068 KB Output is correct
30 Correct 33 ms 84004 KB Output is correct
31 Correct 33 ms 84044 KB Output is correct
32 Correct 33 ms 84044 KB Output is correct
33 Correct 32 ms 83964 KB Output is correct
34 Correct 34 ms 84060 KB Output is correct
35 Correct 32 ms 83988 KB Output is correct
36 Correct 33 ms 84068 KB Output is correct
37 Correct 36 ms 84096 KB Output is correct
38 Correct 34 ms 84040 KB Output is correct
39 Correct 33 ms 84020 KB Output is correct
40 Correct 32 ms 84016 KB Output is correct
41 Correct 33 ms 83996 KB Output is correct
42 Correct 35 ms 84076 KB Output is correct
43 Correct 33 ms 84040 KB Output is correct
44 Correct 37 ms 84048 KB Output is correct
45 Correct 32 ms 84052 KB Output is correct
46 Correct 36 ms 83996 KB Output is correct
47 Correct 33 ms 84040 KB Output is correct
48 Correct 33 ms 84044 KB Output is correct
49 Correct 33 ms 84020 KB Output is correct
50 Correct 34 ms 84052 KB Output is correct
51 Correct 33 ms 84072 KB Output is correct
52 Correct 32 ms 84040 KB Output is correct
53 Correct 35 ms 84032 KB Output is correct
54 Correct 33 ms 84044 KB Output is correct
55 Correct 34 ms 83952 KB Output is correct
56 Correct 32 ms 84052 KB Output is correct
57 Correct 32 ms 84008 KB Output is correct

Subtask #4
47.0 / 47.0

# Verdict Execution time Memory Grader output
1 Correct 32 ms 84052 KB Output is correct
2 Correct 32 ms 84048 KB Output is correct
3 Correct 35 ms 84044 KB Output is correct
4 Correct 33 ms 84016 KB Output is correct
5 Correct 33 ms 84060 KB Output is correct
6 Correct 34 ms 84052 KB Output is correct
7 Correct 33 ms 84052 KB Output is correct
8 Correct 32 ms 84020 KB Output is correct
9 Correct 33 ms 84000 KB Output is correct
10 Correct 33 ms 84040 KB Output is correct
11 Correct 32 ms 84072 KB Output is correct
12 Correct 32 ms 84044 KB Output is correct
13 Correct 34 ms 84048 KB Output is correct
14 Correct 32 ms 83996 KB Output is correct
15 Correct 34 ms 84076 KB Output is correct
16 Correct 34 ms 83996 KB Output is correct
17 Correct 36 ms 84044 KB Output is correct
18 Correct 35 ms 83984 KB Output is correct
19 Correct 34 ms 84172 KB Output is correct
20 Correct 34 ms 84012 KB Output is correct
21 Correct 32 ms 84020 KB Output is correct
22 Correct 33 ms 84064 KB Output is correct
23 Correct 35 ms 83988 KB Output is correct
24 Correct 35 ms 84040 KB Output is correct
25 Correct 32 ms 83964 KB Output is correct
26 Correct 33 ms 84044 KB Output is correct
27 Correct 37 ms 84028 KB Output is correct
28 Correct 33 ms 84044 KB Output is correct
29 Correct 37 ms 84068 KB Output is correct
30 Correct 33 ms 84004 KB Output is correct
31 Correct 33 ms 84044 KB Output is correct
32 Correct 33 ms 84044 KB Output is correct
33 Correct 32 ms 83964 KB Output is correct
34 Correct 34 ms 84060 KB Output is correct
35 Correct 32 ms 83988 KB Output is correct
36 Correct 33 ms 84068 KB Output is correct
37 Correct 36 ms 84096 KB Output is correct
38 Correct 34 ms 84040 KB Output is correct
39 Correct 33 ms 84020 KB Output is correct
40 Correct 32 ms 84016 KB Output is correct
41 Correct 33 ms 83996 KB Output is correct
42 Correct 35 ms 84076 KB Output is correct
43 Correct 33 ms 84040 KB Output is correct
44 Correct 37 ms 84048 KB Output is correct
45 Correct 32 ms 84052 KB Output is correct
46 Correct 36 ms 83996 KB Output is correct
47 Correct 33 ms 84040 KB Output is correct
48 Correct 33 ms 84044 KB Output is correct
49 Correct 33 ms 84020 KB Output is correct
50 Correct 34 ms 84052 KB Output is correct
51 Correct 33 ms 84072 KB Output is correct
52 Correct 32 ms 84040 KB Output is correct
53 Correct 35 ms 84032 KB Output is correct
54 Correct 33 ms 84044 KB Output is correct
55 Correct 34 ms 83952 KB Output is correct
56 Correct 32 ms 84052 KB Output is correct
57 Correct 32 ms 84008 KB Output is correct
58 Correct 48 ms 84220 KB Output is correct
59 Correct 38 ms 84668 KB Output is correct
60 Correct 62 ms 84724 KB Output is correct
61 Correct 320 ms 84664 KB Output is correct
62 Correct 959 ms 85556 KB Output is correct
63 Correct 71 ms 85596 KB Output is correct
64 Correct 461 ms 85620 KB Output is correct
65 Correct 34 ms 84052 KB Output is correct
66 Correct 33 ms 84040 KB Output is correct
67 Correct 34 ms 84044 KB Output is correct
68 Correct 32 ms 84056 KB Output is correct
69 Correct 36 ms 84048 KB Output is correct
70 Correct 33 ms 84036 KB Output is correct
71 Correct 51 ms 84160 KB Output is correct
72 Correct 36 ms 84104 KB Output is correct
73 Correct 41 ms 84108 KB Output is correct
74 Correct 39 ms 84724 KB Output is correct
75 Correct 49 ms 84664 KB Output is correct
76 Correct 107 ms 84700 KB Output is correct
77 Correct 261 ms 85512 KB Output is correct
78 Correct 56 ms 85456 KB Output is correct
79 Correct 146 ms 85476 KB Output is correct
80 Correct 48 ms 85460 KB Output is correct
81 Correct 75 ms 85500 KB Output is correct
82 Correct 260 ms 85472 KB Output is correct
83 Correct 31 ms 84044 KB Output is correct
84 Correct 34 ms 84024 KB Output is correct
85 Correct 55 ms 84296 KB Output is correct
86 Correct 36 ms 84180 KB Output is correct
87 Correct 37 ms 84232 KB Output is correct
88 Correct 37 ms 84696 KB Output is correct
89 Correct 46 ms 84684 KB Output is correct
90 Correct 100 ms 84792 KB Output is correct
91 Correct 243 ms 85800 KB Output is correct
92 Correct 57 ms 85580 KB Output is correct
93 Correct 131 ms 85568 KB Output is correct
94 Correct 34 ms 84204 KB Output is correct
95 Correct 87 ms 84176 KB Output is correct
96 Correct 32 ms 84044 KB Output is correct
97 Correct 32 ms 84044 KB Output is correct
98 Correct 31 ms 83968 KB Output is correct
99 Correct 34 ms 83952 KB Output is correct