Submission #528766

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
528766	2022-02-21T11:06:13 Z	dxz05	Bigger segments (IZhO19_segments)	C++14	100 / 100	214 ms	31416 KB

segments

#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
#define MP make_pair

struct SegmentTree{
    int size = 1;
    vector<pair<int, ll>> tree;

    SegmentTree(int n){
        size = n;
        tree.resize((1 << 20) + 50);
    };

    void update(int v, int tl, int tr, int pos, pair<int, ll> val){
        if (tl == tr){
            tree[v] = max(tree[v], val);
            return;
        }
        int tm = (tl + tr) >> 1;
        if (pos <= tm) update(v << 1, tl, tm, pos, val); else
            update(v << 1 | 1, tm + 1, tr, pos, val);
        tree[v] = max(tree[v << 1], tree[v << 1 | 1]);
    }

    void update(int pos, pair<int, ll> val){
        update(1,  0, size - 1, pos, val);
    }

    pair<int, ll> get(int v, int tl, int tr, int l, int r){
        if (l <= tl && tr <= r) return tree[v];
        if (tl > r || tr < l) return MP(0, 0);
        int tm = (tl + tr) >> 1;
        return max(get(v << 1, tl, tm, l, r), get(v << 1 | 1, tm + 1, tr, l, r));
    }

    pair<int, ll> get(int l, int r){
        return get(1, 0, size - 1, l, r);
    }

};

int main() {
    ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr);

    int n;
    cin >> n;

    vector<ll> pref(n);
    for (int i = 0; i < n; i++){
        cin >> pref[i];
        if (i) pref[i] += pref[i - 1];
    }

    vector<int> dp(n, 1);
    vector<ll> sum = pref;

    SegmentTree st(n);
    for (int i = 0; i < n; i++){
        auto p = st.get(0, i);

        if (p.first > dp[i] || p.second == dp[i] || pref[i] - p.second < sum[i]){
            dp[i] = p.first + 1;
            sum[i] = pref[i] - p.second;
        }

        int pos = lower_bound(pref.begin(), pref.end(), pref[i] + sum[i]) - pref.begin();

        if (pos < n) st.update(pos, MP(dp[i], pref[i]));
    }

    cout << dp[n - 1] << endl;

    return 0;
}

Subtask #1
13.0 / 13.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	7 ms	16716 KB	Output is correct
2	Correct	9 ms	16716 KB	Output is correct
3	Correct	8 ms	16716 KB	Output is correct
4	Correct	7 ms	16684 KB	Output is correct
5	Correct	8 ms	16716 KB	Output is correct
6	Correct	7 ms	16716 KB	Output is correct
7	Correct	7 ms	16716 KB	Output is correct
8	Correct	7 ms	16716 KB	Output is correct
9	Correct	9 ms	16716 KB	Output is correct
10	Correct	9 ms	16716 KB	Output is correct
11	Correct	9 ms	16716 KB	Output is correct
12	Correct	7 ms	16716 KB	Output is correct
13	Correct	10 ms	16716 KB	Output is correct
14	Correct	9 ms	16716 KB	Output is correct
15	Correct	7 ms	16716 KB	Output is correct

Subtask #2
14.0 / 14.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	7 ms	16716 KB	Output is correct
2	Correct	9 ms	16716 KB	Output is correct
3	Correct	8 ms	16716 KB	Output is correct
4	Correct	7 ms	16684 KB	Output is correct
5	Correct	8 ms	16716 KB	Output is correct
6	Correct	7 ms	16716 KB	Output is correct
7	Correct	7 ms	16716 KB	Output is correct
8	Correct	7 ms	16716 KB	Output is correct
9	Correct	9 ms	16716 KB	Output is correct
10	Correct	9 ms	16716 KB	Output is correct
11	Correct	9 ms	16716 KB	Output is correct
12	Correct	7 ms	16716 KB	Output is correct
13	Correct	10 ms	16716 KB	Output is correct
14	Correct	9 ms	16716 KB	Output is correct
15	Correct	7 ms	16716 KB	Output is correct
16	Correct	7 ms	16716 KB	Output is correct
17	Correct	9 ms	16660 KB	Output is correct
18	Correct	7 ms	16716 KB	Output is correct
19	Correct	7 ms	16716 KB	Output is correct
20	Correct	7 ms	16716 KB	Output is correct
21	Correct	7 ms	16716 KB	Output is correct
22	Correct	9 ms	16716 KB	Output is correct
23	Correct	7 ms	16716 KB	Output is correct
24	Correct	10 ms	16664 KB	Output is correct
25	Correct	7 ms	16708 KB	Output is correct
26	Correct	7 ms	16716 KB	Output is correct
27	Correct	7 ms	16688 KB	Output is correct
28	Correct	9 ms	16724 KB	Output is correct
29	Correct	8 ms	16716 KB	Output is correct
30	Correct	8 ms	16716 KB	Output is correct

Subtask #3
10.0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	7 ms	16716 KB	Output is correct
2	Correct	9 ms	16716 KB	Output is correct
3	Correct	8 ms	16716 KB	Output is correct
4	Correct	7 ms	16684 KB	Output is correct
5	Correct	8 ms	16716 KB	Output is correct
6	Correct	7 ms	16716 KB	Output is correct
7	Correct	7 ms	16716 KB	Output is correct
8	Correct	7 ms	16716 KB	Output is correct
9	Correct	9 ms	16716 KB	Output is correct
10	Correct	9 ms	16716 KB	Output is correct
11	Correct	9 ms	16716 KB	Output is correct
12	Correct	7 ms	16716 KB	Output is correct
13	Correct	10 ms	16716 KB	Output is correct
14	Correct	9 ms	16716 KB	Output is correct
15	Correct	7 ms	16716 KB	Output is correct
16	Correct	7 ms	16716 KB	Output is correct
17	Correct	9 ms	16660 KB	Output is correct
18	Correct	7 ms	16716 KB	Output is correct
19	Correct	7 ms	16716 KB	Output is correct
20	Correct	7 ms	16716 KB	Output is correct
21	Correct	7 ms	16716 KB	Output is correct
22	Correct	9 ms	16716 KB	Output is correct
23	Correct	7 ms	16716 KB	Output is correct
24	Correct	10 ms	16664 KB	Output is correct
25	Correct	7 ms	16708 KB	Output is correct
26	Correct	7 ms	16716 KB	Output is correct
27	Correct	7 ms	16688 KB	Output is correct
28	Correct	9 ms	16724 KB	Output is correct
29	Correct	8 ms	16716 KB	Output is correct
30	Correct	8 ms	16716 KB	Output is correct
31	Correct	10 ms	16744 KB	Output is correct
32	Correct	11 ms	16792 KB	Output is correct
33	Correct	9 ms	16744 KB	Output is correct
34	Correct	10 ms	16800 KB	Output is correct
35	Correct	9 ms	16716 KB	Output is correct
36	Correct	11 ms	16804 KB	Output is correct
37	Correct	9 ms	16716 KB	Output is correct
38	Correct	10 ms	16776 KB	Output is correct
39	Correct	10 ms	16716 KB	Output is correct
40	Correct	9 ms	16684 KB	Output is correct
41	Correct	9 ms	16724 KB	Output is correct
42	Correct	9 ms	16728 KB	Output is correct
43	Correct	11 ms	16800 KB	Output is correct
44	Correct	9 ms	16716 KB	Output is correct
45	Correct	10 ms	16716 KB	Output is correct

Subtask #4
36.0 / 36.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	7 ms	16716 KB	Output is correct
2	Correct	9 ms	16716 KB	Output is correct
3	Correct	8 ms	16716 KB	Output is correct
4	Correct	7 ms	16684 KB	Output is correct
5	Correct	8 ms	16716 KB	Output is correct
6	Correct	7 ms	16716 KB	Output is correct
7	Correct	7 ms	16716 KB	Output is correct
8	Correct	7 ms	16716 KB	Output is correct
9	Correct	9 ms	16716 KB	Output is correct
10	Correct	9 ms	16716 KB	Output is correct
11	Correct	9 ms	16716 KB	Output is correct
12	Correct	7 ms	16716 KB	Output is correct
13	Correct	10 ms	16716 KB	Output is correct
14	Correct	9 ms	16716 KB	Output is correct
15	Correct	7 ms	16716 KB	Output is correct
16	Correct	7 ms	16716 KB	Output is correct
17	Correct	9 ms	16660 KB	Output is correct
18	Correct	7 ms	16716 KB	Output is correct
19	Correct	7 ms	16716 KB	Output is correct
20	Correct	7 ms	16716 KB	Output is correct
21	Correct	7 ms	16716 KB	Output is correct
22	Correct	9 ms	16716 KB	Output is correct
23	Correct	7 ms	16716 KB	Output is correct
24	Correct	10 ms	16664 KB	Output is correct
25	Correct	7 ms	16708 KB	Output is correct
26	Correct	7 ms	16716 KB	Output is correct
27	Correct	7 ms	16688 KB	Output is correct
28	Correct	9 ms	16724 KB	Output is correct
29	Correct	8 ms	16716 KB	Output is correct
30	Correct	8 ms	16716 KB	Output is correct
31	Correct	10 ms	16744 KB	Output is correct
32	Correct	11 ms	16792 KB	Output is correct
33	Correct	9 ms	16744 KB	Output is correct
34	Correct	10 ms	16800 KB	Output is correct
35	Correct	9 ms	16716 KB	Output is correct
36	Correct	11 ms	16804 KB	Output is correct
37	Correct	9 ms	16716 KB	Output is correct
38	Correct	10 ms	16776 KB	Output is correct
39	Correct	10 ms	16716 KB	Output is correct
40	Correct	9 ms	16684 KB	Output is correct
41	Correct	9 ms	16724 KB	Output is correct
42	Correct	9 ms	16728 KB	Output is correct
43	Correct	11 ms	16800 KB	Output is correct
44	Correct	9 ms	16716 KB	Output is correct
45	Correct	10 ms	16716 KB	Output is correct
46	Correct	29 ms	18712 KB	Output is correct
47	Correct	39 ms	19132 KB	Output is correct
48	Correct	43 ms	19512 KB	Output is correct
49	Correct	49 ms	19508 KB	Output is correct
50	Correct	45 ms	19672 KB	Output is correct
51	Correct	60 ms	19632 KB	Output is correct
52	Correct	29 ms	18200 KB	Output is correct
53	Correct	19 ms	17576 KB	Output is correct
54	Correct	51 ms	18904 KB	Output is correct
55	Correct	51 ms	19672 KB	Output is correct
56	Correct	39 ms	19120 KB	Output is correct
57	Correct	41 ms	19044 KB	Output is correct
58	Correct	38 ms	19144 KB	Output is correct
59	Correct	40 ms	19224 KB	Output is correct
60	Correct	38 ms	19268 KB	Output is correct

Subtask #5
27.0 / 27.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	7 ms	16716 KB	Output is correct
2	Correct	9 ms	16716 KB	Output is correct
3	Correct	8 ms	16716 KB	Output is correct
4	Correct	7 ms	16684 KB	Output is correct
5	Correct	8 ms	16716 KB	Output is correct
6	Correct	7 ms	16716 KB	Output is correct
7	Correct	7 ms	16716 KB	Output is correct
8	Correct	7 ms	16716 KB	Output is correct
9	Correct	9 ms	16716 KB	Output is correct
10	Correct	9 ms	16716 KB	Output is correct
11	Correct	9 ms	16716 KB	Output is correct
12	Correct	7 ms	16716 KB	Output is correct
13	Correct	10 ms	16716 KB	Output is correct
14	Correct	9 ms	16716 KB	Output is correct
15	Correct	7 ms	16716 KB	Output is correct
16	Correct	7 ms	16716 KB	Output is correct
17	Correct	9 ms	16660 KB	Output is correct
18	Correct	7 ms	16716 KB	Output is correct
19	Correct	7 ms	16716 KB	Output is correct
20	Correct	7 ms	16716 KB	Output is correct
21	Correct	7 ms	16716 KB	Output is correct
22	Correct	9 ms	16716 KB	Output is correct
23	Correct	7 ms	16716 KB	Output is correct
24	Correct	10 ms	16664 KB	Output is correct
25	Correct	7 ms	16708 KB	Output is correct
26	Correct	7 ms	16716 KB	Output is correct
27	Correct	7 ms	16688 KB	Output is correct
28	Correct	9 ms	16724 KB	Output is correct
29	Correct	8 ms	16716 KB	Output is correct
30	Correct	8 ms	16716 KB	Output is correct
31	Correct	10 ms	16744 KB	Output is correct
32	Correct	11 ms	16792 KB	Output is correct
33	Correct	9 ms	16744 KB	Output is correct
34	Correct	10 ms	16800 KB	Output is correct
35	Correct	9 ms	16716 KB	Output is correct
36	Correct	11 ms	16804 KB	Output is correct
37	Correct	9 ms	16716 KB	Output is correct
38	Correct	10 ms	16776 KB	Output is correct
39	Correct	10 ms	16716 KB	Output is correct
40	Correct	9 ms	16684 KB	Output is correct
41	Correct	9 ms	16724 KB	Output is correct
42	Correct	9 ms	16728 KB	Output is correct
43	Correct	11 ms	16800 KB	Output is correct
44	Correct	9 ms	16716 KB	Output is correct
45	Correct	10 ms	16716 KB	Output is correct
46	Correct	29 ms	18712 KB	Output is correct
47	Correct	39 ms	19132 KB	Output is correct
48	Correct	43 ms	19512 KB	Output is correct
49	Correct	49 ms	19508 KB	Output is correct
50	Correct	45 ms	19672 KB	Output is correct
51	Correct	60 ms	19632 KB	Output is correct
52	Correct	29 ms	18200 KB	Output is correct
53	Correct	19 ms	17576 KB	Output is correct
54	Correct	51 ms	18904 KB	Output is correct
55	Correct	51 ms	19672 KB	Output is correct
56	Correct	39 ms	19120 KB	Output is correct
57	Correct	41 ms	19044 KB	Output is correct
58	Correct	38 ms	19144 KB	Output is correct
59	Correct	40 ms	19224 KB	Output is correct
60	Correct	38 ms	19268 KB	Output is correct
61	Correct	106 ms	28532 KB	Output is correct
62	Correct	130 ms	28396 KB	Output is correct
63	Correct	164 ms	28792 KB	Output is correct
64	Correct	214 ms	31068 KB	Output is correct
65	Correct	203 ms	31416 KB	Output is correct
66	Correct	196 ms	31356 KB	Output is correct
67	Correct	164 ms	28424 KB	Output is correct
68	Correct	79 ms	22468 KB	Output is correct
69	Correct	169 ms	27516 KB	Output is correct
70	Correct	200 ms	31300 KB	Output is correct
71	Correct	173 ms	28540 KB	Output is correct
72	Correct	157 ms	28792 KB	Output is correct
73	Correct	175 ms	29436 KB	Output is correct
74	Correct	194 ms	29836 KB	Output is correct
75	Correct	180 ms	29812 KB	Output is correct

Submission #528766

Compilation message

Subtask #1 13.0 / 13.0

Subtask #2 14.0 / 14.0

Subtask #3 10.0 / 10.0

Subtask #4 36.0 / 36.0

Subtask #5 27.0 / 27.0

Subtask #1
13.0 / 13.0

Subtask #2
14.0 / 14.0

Subtask #3
10.0 / 10.0

Subtask #4
36.0 / 36.0

Subtask #5
27.0 / 27.0