oj.uz

Submission #917067

# Submission time Handle Problem Language Result Execution time Memory
917067 2024-01-27T05:32:56 Z atom K blocks (IZhO14_blocks) C++17
100 / 100
 130 ms 84504 KB 
#include "bits/stdc++.h"
// @JASPER'S BOILERPLATE
using namespace std;
using ll = long long;
 
#ifdef JASPER
#include "debug.h"
#else
#define debug(...) 166
#endif
 
const int N = 1e5 + 5;
const int K = 105;

template <typename T>
struct SegmentTree {
    vector <T> f;
    T NEUTRAL = numeric_limits <T>::max();
    int n;
    SegmentTree(int _n) { init(_n); }
    void init(int _n) {
        n = _n;
        f.resize((_n << 1) + 5, NEUTRAL);  
    }
    T merge(T x, T y) { return min(x, y); }
    void upd(int x, T val) {
        x += n;
        f[x] = merge(f[x], val);
        for (; x > 0; x >>= 1)
            f[x >> 1] = merge(f[x], f[x ^ 1]);
    }
    T qry(int l, int r) {
        T ql = NEUTRAL;
        T qr = NEUTRAL;
        for (l += n, r += n + 1; l < r; l >>= 1, r >>= 1) {
            if (l & 1) ql = merge(ql, f[l++]);
            if (r & 1) qr = merge(f[--r], qr);
        } 
        return merge(ql, qr);
    }
};

int n, k;
int a[N], lhs[N];
ll dp[K][N];
 
signed main() {
    cin.tie(0) -> sync_with_stdio(0);
 
    cin >> n >> k;
    for (int i = 1; i <= n; ++i) cin >> a[i];
    
    

    // dp(k, i) = min(dp(k - 1, j) + max(j..i));
    // j = lhs[i] + 1; -> dp(k, i) = a[i] + min(dp(k - 1, j)) (j : lhs[i] + 1 -> i);
    memset(dp, 0x3f, sizeof dp);
    dp[1][0] = 0;
    for (int i = 1; i <= n; ++i)
        dp[1][i] = max(dp[1][i - 1], 1LL * a[i]);

    for (int _k = 2; _k <= k; ++_k) {
        stack <pair <ll, int>> S;
        for (int i = _k; i <= n; ++i) {
            ll p = dp[_k - 1][i - 1];
            while (!S.empty() && a[i] >= a[S.top().second]) {
                p = min(p, S.top().first);
                S.pop();
            }
            int j = S.empty()? 0 : S.top().second;
            dp[_k][i] = min(dp[_k][j], p + a[i]);
            S.push({p, i});
        }
    }
    cout << dp[k][n] << "\n";
}

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 82524 KB Output is correct
2 Correct 14 ms 82692 KB Output is correct
3 Correct 14 ms 82516 KB Output is correct
4 Correct 13 ms 82520 KB Output is correct
5 Correct 14 ms 82524 KB Output is correct
6 Correct 14 ms 82524 KB Output is correct
7 Correct 14 ms 82520 KB Output is correct
8 Correct 14 ms 82524 KB Output is correct
9 Correct 13 ms 82680 KB Output is correct
10 Correct 13 ms 82524 KB Output is correct
11 Correct 14 ms 82712 KB Output is correct
12 Correct 14 ms 82680 KB Output is correct
13 Correct 14 ms 82524 KB Output is correct
14 Correct 14 ms 82664 KB Output is correct
15 Correct 13 ms 82524 KB Output is correct
16 Correct 14 ms 82524 KB Output is correct
17 Correct 13 ms 82644 KB Output is correct
18 Correct 13 ms 82520 KB Output is correct

Subtask #2
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 82524 KB Output is correct
2 Correct 14 ms 82524 KB Output is correct
3 Correct 14 ms 82520 KB Output is correct
4 Correct 14 ms 82776 KB Output is correct
5 Correct 13 ms 82644 KB Output is correct
6 Correct 14 ms 82524 KB Output is correct
7 Correct 14 ms 82524 KB Output is correct
8 Correct 15 ms 82524 KB Output is correct
9 Correct 13 ms 82628 KB Output is correct
10 Correct 14 ms 82616 KB Output is correct
11 Correct 13 ms 82524 KB Output is correct
12 Correct 14 ms 82524 KB Output is correct
13 Correct 14 ms 82524 KB Output is correct
14 Correct 14 ms 82524 KB Output is correct
15 Correct 14 ms 82524 KB Output is correct
16 Correct 14 ms 82620 KB Output is correct
17 Correct 14 ms 82456 KB Output is correct
18 Correct 14 ms 82772 KB Output is correct
19 Correct 14 ms 82524 KB Output is correct
20 Correct 14 ms 82524 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 82524 KB Output is correct
2 Correct 14 ms 82692 KB Output is correct
3 Correct 14 ms 82516 KB Output is correct
4 Correct 13 ms 82520 KB Output is correct
5 Correct 14 ms 82524 KB Output is correct
6 Correct 14 ms 82524 KB Output is correct
7 Correct 14 ms 82520 KB Output is correct
8 Correct 14 ms 82524 KB Output is correct
9 Correct 13 ms 82680 KB Output is correct
10 Correct 13 ms 82524 KB Output is correct
11 Correct 14 ms 82712 KB Output is correct
12 Correct 14 ms 82680 KB Output is correct
13 Correct 14 ms 82524 KB Output is correct
14 Correct 14 ms 82664 KB Output is correct
15 Correct 13 ms 82524 KB Output is correct
16 Correct 14 ms 82524 KB Output is correct
17 Correct 13 ms 82644 KB Output is correct
18 Correct 13 ms 82520 KB Output is correct
19 Correct 14 ms 82524 KB Output is correct
20 Correct 14 ms 82524 KB Output is correct
21 Correct 14 ms 82520 KB Output is correct
22 Correct 14 ms 82776 KB Output is correct
23 Correct 13 ms 82644 KB Output is correct
24 Correct 14 ms 82524 KB Output is correct
25 Correct 14 ms 82524 KB Output is correct
26 Correct 15 ms 82524 KB Output is correct
27 Correct 13 ms 82628 KB Output is correct
28 Correct 14 ms 82616 KB Output is correct
29 Correct 13 ms 82524 KB Output is correct
30 Correct 14 ms 82524 KB Output is correct
31 Correct 14 ms 82524 KB Output is correct
32 Correct 14 ms 82524 KB Output is correct
33 Correct 14 ms 82524 KB Output is correct
34 Correct 14 ms 82620 KB Output is correct
35 Correct 14 ms 82456 KB Output is correct
36 Correct 14 ms 82772 KB Output is correct
37 Correct 14 ms 82524 KB Output is correct
38 Correct 14 ms 82524 KB Output is correct
39 Correct 14 ms 82644 KB Output is correct
40 Correct 13 ms 82712 KB Output is correct
41 Correct 13 ms 82520 KB Output is correct
42 Correct 13 ms 82524 KB Output is correct
43 Correct 14 ms 82712 KB Output is correct
44 Correct 13 ms 82524 KB Output is correct
45 Correct 13 ms 82520 KB Output is correct
46 Correct 14 ms 82524 KB Output is correct
47 Correct 13 ms 82448 KB Output is correct
48 Correct 15 ms 82640 KB Output is correct
49 Correct 14 ms 82776 KB Output is correct
50 Correct 14 ms 82520 KB Output is correct
51 Correct 13 ms 82520 KB Output is correct
52 Correct 13 ms 82644 KB Output is correct
53 Correct 14 ms 82524 KB Output is correct
54 Correct 13 ms 82576 KB Output is correct
55 Correct 14 ms 82524 KB Output is correct
56 Correct 13 ms 82524 KB Output is correct
57 Correct 14 ms 82696 KB Output is correct

Subtask #4
47.0 / 47.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 82524 KB Output is correct
2 Correct 14 ms 82692 KB Output is correct
3 Correct 14 ms 82516 KB Output is correct
4 Correct 13 ms 82520 KB Output is correct
5 Correct 14 ms 82524 KB Output is correct
6 Correct 14 ms 82524 KB Output is correct
7 Correct 14 ms 82520 KB Output is correct
8 Correct 14 ms 82524 KB Output is correct
9 Correct 13 ms 82680 KB Output is correct
10 Correct 13 ms 82524 KB Output is correct
11 Correct 14 ms 82712 KB Output is correct
12 Correct 14 ms 82680 KB Output is correct
13 Correct 14 ms 82524 KB Output is correct
14 Correct 14 ms 82664 KB Output is correct
15 Correct 13 ms 82524 KB Output is correct
16 Correct 14 ms 82524 KB Output is correct
17 Correct 13 ms 82644 KB Output is correct
18 Correct 13 ms 82520 KB Output is correct
19 Correct 14 ms 82524 KB Output is correct
20 Correct 14 ms 82524 KB Output is correct
21 Correct 14 ms 82520 KB Output is correct
22 Correct 14 ms 82776 KB Output is correct
23 Correct 13 ms 82644 KB Output is correct
24 Correct 14 ms 82524 KB Output is correct
25 Correct 14 ms 82524 KB Output is correct
26 Correct 15 ms 82524 KB Output is correct
27 Correct 13 ms 82628 KB Output is correct
28 Correct 14 ms 82616 KB Output is correct
29 Correct 13 ms 82524 KB Output is correct
30 Correct 14 ms 82524 KB Output is correct
31 Correct 14 ms 82524 KB Output is correct
32 Correct 14 ms 82524 KB Output is correct
33 Correct 14 ms 82524 KB Output is correct
34 Correct 14 ms 82620 KB Output is correct
35 Correct 14 ms 82456 KB Output is correct
36 Correct 14 ms 82772 KB Output is correct
37 Correct 14 ms 82524 KB Output is correct
38 Correct 14 ms 82524 KB Output is correct
39 Correct 14 ms 82644 KB Output is correct
40 Correct 13 ms 82712 KB Output is correct
41 Correct 13 ms 82520 KB Output is correct
42 Correct 13 ms 82524 KB Output is correct
43 Correct 14 ms 82712 KB Output is correct
44 Correct 13 ms 82524 KB Output is correct
45 Correct 13 ms 82520 KB Output is correct
46 Correct 14 ms 82524 KB Output is correct
47 Correct 13 ms 82448 KB Output is correct
48 Correct 15 ms 82640 KB Output is correct
49 Correct 14 ms 82776 KB Output is correct
50 Correct 14 ms 82520 KB Output is correct
51 Correct 13 ms 82520 KB Output is correct
52 Correct 13 ms 82644 KB Output is correct
53 Correct 14 ms 82524 KB Output is correct
54 Correct 13 ms 82576 KB Output is correct
55 Correct 14 ms 82524 KB Output is correct
56 Correct 13 ms 82524 KB Output is correct
57 Correct 14 ms 82696 KB Output is correct
58 Correct 16 ms 82780 KB Output is correct
59 Correct 16 ms 83044 KB Output is correct
60 Correct 19 ms 83160 KB Output is correct
61 Correct 44 ms 83032 KB Output is correct
62 Correct 102 ms 83632 KB Output is correct
63 Correct 23 ms 83536 KB Output is correct
64 Correct 57 ms 83548 KB Output is correct
65 Correct 14 ms 82524 KB Output is correct
66 Correct 13 ms 82724 KB Output is correct
67 Correct 14 ms 82520 KB Output is correct
68 Correct 13 ms 82524 KB Output is correct
69 Correct 14 ms 82524 KB Output is correct
70 Correct 14 ms 82524 KB Output is correct
71 Correct 24 ms 82760 KB Output is correct
72 Correct 14 ms 82724 KB Output is correct
73 Correct 16 ms 82736 KB Output is correct
74 Correct 17 ms 83036 KB Output is correct
75 Correct 19 ms 83068 KB Output is correct
76 Correct 57 ms 83176 KB Output is correct
77 Correct 129 ms 83768 KB Output is correct
78 Correct 23 ms 83536 KB Output is correct
79 Correct 70 ms 83780 KB Output is correct
80 Correct 21 ms 83800 KB Output is correct
81 Correct 30 ms 83540 KB Output is correct
82 Correct 130 ms 83548 KB Output is correct
83 Correct 13 ms 82520 KB Output is correct
84 Correct 13 ms 82524 KB Output is correct
85 Correct 26 ms 82896 KB Output is correct
86 Correct 15 ms 82804 KB Output is correct
87 Correct 16 ms 82780 KB Output is correct
88 Correct 18 ms 83096 KB Output is correct
89 Correct 20 ms 83364 KB Output is correct
90 Correct 52 ms 83464 KB Output is correct
91 Correct 129 ms 84504 KB Output is correct
92 Correct 22 ms 84308 KB Output is correct
93 Correct 70 ms 84428 KB Output is correct
94 Correct 15 ms 82780 KB Output is correct
95 Correct 24 ms 83036 KB Output is correct
96 Correct 14 ms 82524 KB Output is correct
97 Correct 14 ms 82644 KB Output is correct
98 Correct 13 ms 82524 KB Output is correct
99 Correct 14 ms 82524 KB Output is correct