oj.uz

Submission #1061741

# Submission time Handle Problem Language Result Execution time Memory
1061741 2024-08-16T12:29:35 Z VMaksimoski008 K blocks (IZhO14_blocks) C++17
53 / 100
 1000 ms 40676 KB 
#include <bits/stdc++.h>
using namespace std;

using ll = long long;
using pii = pair<int, int>;
using pll = pair<ll, ll>;

const int mod = 1e9 + 7;
const int LOG = 20;
const int maxn = 1e5 + 5;

struct SegTree {
    int n, h;
    vector<ll> tree, lazy;
 
    SegTree(int _n) {
        n = _n;
        h = sizeof(int) * 8 - __builtin_clz(n);
        tree.resize(2*n+5);
        lazy.resize(n+5);
    }
 
    void apply(int p, ll v) {
        tree[p] += v;
        if(p < n) lazy[p] += v; 
    }
 
    void build(int p) {
        while(p > 1) {
            p >>= 1;
            tree[p] = min(tree[p<<1], tree[p<<1|1]) + lazy[p];
        }
    }
 
    void push(int p) {
        for(int s=h; s; --s) {
            int i = p >> s;
            if(lazy[i]) {
                apply(i<<1, lazy[i]);
                apply(i<<1|1, lazy[i]);
                lazy[i] = 0;
            }
        }
    }
 
    void update(int l, int r, ll v) {
        l+=n, r+=n;
        int l0=l, r0=r;
        for(; l<r; l>>=1, r>>=1) {
            if(l&1) apply(l++, v);
            if(r&1) apply(--r, v);
        }
        build(l0); build(r0-1);
    }
 
    ll query(int l, int r) {
        ll ans1 = 1e12, ans2 = 1e12;
        l+=n, r+=n;
        push(l); push(r-1);
        for(; l<r; l>>=1, r>>=1) {
            if(l&1) ans1 = min(ans1, tree[l++]);
            if(r&1) ans2 = min(ans2, tree[--r]);
        }
        return min(ans1, ans2);
    }

    void reset() {
        for(auto &x : tree) x = 0;
        for(auto &x : lazy) x = 0;
    }
};

ll dp[maxn][105], v[maxn];

signed main() {
    ios_base::sync_with_stdio(false);
    cout.tie(0); cin.tie(0);

    int n, k;
    cin >> n >> k;

    for(int i=0; i<=n; i++)
        for(int j=0; j<=k; j++) dp[i][j] = 1e9;
    for(int i=1; i<=n; i++) cin >> v[i];
    dp[0][0] = 0;

    ll mx = 0;
    for(int i=1; i<=n; i++) {
        mx = max(mx, v[i]);
        dp[i][1] = mx;
    }

    SegTree tree(n+1);
    for(int j=2; j<=k; j++) {
        vector<pii> st; st.push_back({ 1e9, 0 });
        int SZ = 1;
        for(int i=1; i<=n; i++) {
            int last = st.back().second;
            while(SZ && st.back().first <= v[i]) {
                if(SZ > 1) tree.update(st[SZ-2].second+1, st[SZ-1].second+1, v[i]-st.back().first);
                st.pop_back();
                SZ--;
            }

            st.push_back({ v[i], i }); SZ++;
            tree.update(last+1, st.back().second+1, v[i]);
            tree.update(i, i+1, dp[i-1][j-1]);
            dp[i][j] = tree.query(1, i+1);
        }

        tree.reset();
    }

    cout << dp[n][k] << '\n';
    return 0;
}

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 0 ms 2396 KB Output is correct
9 Correct 0 ms 2396 KB Output is correct
10 Correct 0 ms 2396 KB Output is correct
11 Correct 0 ms 2396 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 0 ms 2396 KB Output is correct
15 Correct 0 ms 2396 KB Output is correct
16 Correct 0 ms 2396 KB Output is correct
17 Correct 0 ms 2396 KB Output is correct
18 Correct 0 ms 2396 KB Output is correct

Subtask #2
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 0 ms 2436 KB Output is correct
8 Correct 0 ms 2396 KB Output is correct
9 Correct 0 ms 2396 KB Output is correct
10 Correct 0 ms 2504 KB Output is correct
11 Correct 0 ms 2396 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 0 ms 2396 KB Output is correct
14 Correct 0 ms 2396 KB Output is correct
15 Correct 0 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 0 ms 2396 KB Output is correct
19 Correct 0 ms 2396 KB Output is correct
20 Correct 0 ms 2396 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 0 ms 2396 KB Output is correct
9 Correct 0 ms 2396 KB Output is correct
10 Correct 0 ms 2396 KB Output is correct
11 Correct 0 ms 2396 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 0 ms 2396 KB Output is correct
15 Correct 0 ms 2396 KB Output is correct
16 Correct 0 ms 2396 KB Output is correct
17 Correct 0 ms 2396 KB Output is correct
18 Correct 0 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 0 ms 2396 KB Output is correct
21 Correct 0 ms 2396 KB Output is correct
22 Correct 0 ms 2396 KB Output is correct
23 Correct 0 ms 2396 KB Output is correct
24 Correct 0 ms 2396 KB Output is correct
25 Correct 0 ms 2436 KB Output is correct
26 Correct 0 ms 2396 KB Output is correct
27 Correct 0 ms 2396 KB Output is correct
28 Correct 0 ms 2504 KB Output is correct
29 Correct 0 ms 2396 KB Output is correct
30 Correct 0 ms 2396 KB Output is correct
31 Correct 0 ms 2396 KB Output is correct
32 Correct 0 ms 2396 KB Output is correct
33 Correct 0 ms 2396 KB Output is correct
34 Correct 1 ms 2396 KB Output is correct
35 Correct 1 ms 2396 KB Output is correct
36 Correct 0 ms 2396 KB Output is correct
37 Correct 0 ms 2396 KB Output is correct
38 Correct 0 ms 2396 KB Output is correct
39 Correct 1 ms 2392 KB Output is correct
40 Correct 0 ms 2396 KB Output is correct
41 Correct 1 ms 2396 KB Output is correct
42 Correct 1 ms 2396 KB Output is correct
43 Correct 0 ms 2396 KB Output is correct
44 Correct 1 ms 2396 KB Output is correct
45 Correct 1 ms 2396 KB Output is correct
46 Correct 1 ms 2396 KB Output is correct
47 Correct 0 ms 2396 KB Output is correct
48 Correct 1 ms 2396 KB Output is correct
49 Correct 1 ms 2396 KB Output is correct
50 Correct 0 ms 2396 KB Output is correct
51 Correct 1 ms 2396 KB Output is correct
52 Correct 1 ms 2396 KB Output is correct
53 Correct 2 ms 2396 KB Output is correct
54 Correct 2 ms 2396 KB Output is correct
55 Correct 1 ms 2396 KB Output is correct
56 Correct 2 ms 2516 KB Output is correct
57 Correct 2 ms 2520 KB Output is correct

Subtask #4
0 / 47.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 0 ms 2396 KB Output is correct
9 Correct 0 ms 2396 KB Output is correct
10 Correct 0 ms 2396 KB Output is correct
11 Correct 0 ms 2396 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 0 ms 2396 KB Output is correct
15 Correct 0 ms 2396 KB Output is correct
16 Correct 0 ms 2396 KB Output is correct
17 Correct 0 ms 2396 KB Output is correct
18 Correct 0 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 0 ms 2396 KB Output is correct
21 Correct 0 ms 2396 KB Output is correct
22 Correct 0 ms 2396 KB Output is correct
23 Correct 0 ms 2396 KB Output is correct
24 Correct 0 ms 2396 KB Output is correct
25 Correct 0 ms 2436 KB Output is correct
26 Correct 0 ms 2396 KB Output is correct
27 Correct 0 ms 2396 KB Output is correct
28 Correct 0 ms 2504 KB Output is correct
29 Correct 0 ms 2396 KB Output is correct
30 Correct 0 ms 2396 KB Output is correct
31 Correct 0 ms 2396 KB Output is correct
32 Correct 0 ms 2396 KB Output is correct
33 Correct 0 ms 2396 KB Output is correct
34 Correct 1 ms 2396 KB Output is correct
35 Correct 1 ms 2396 KB Output is correct
36 Correct 0 ms 2396 KB Output is correct
37 Correct 0 ms 2396 KB Output is correct
38 Correct 0 ms 2396 KB Output is correct
39 Correct 1 ms 2392 KB Output is correct
40 Correct 0 ms 2396 KB Output is correct
41 Correct 1 ms 2396 KB Output is correct
42 Correct 1 ms 2396 KB Output is correct
43 Correct 0 ms 2396 KB Output is correct
44 Correct 1 ms 2396 KB Output is correct
45 Correct 1 ms 2396 KB Output is correct
46 Correct 1 ms 2396 KB Output is correct
47 Correct 0 ms 2396 KB Output is correct
48 Correct 1 ms 2396 KB Output is correct
49 Correct 1 ms 2396 KB Output is correct
50 Correct 0 ms 2396 KB Output is correct
51 Correct 1 ms 2396 KB Output is correct
52 Correct 1 ms 2396 KB Output is correct
53 Correct 2 ms 2396 KB Output is correct
54 Correct 2 ms 2396 KB Output is correct
55 Correct 1 ms 2396 KB Output is correct
56 Correct 2 ms 2516 KB Output is correct
57 Correct 2 ms 2520 KB Output is correct
58 Correct 88 ms 10844 KB Output is correct
59 Correct 6 ms 40536 KB Output is correct
60 Correct 121 ms 40676 KB Output is correct
61 Execution timed out 1055 ms 40540 KB Time limit exceeded
62 Halted 0 ms 0 KB -