oj.uz

Submission #1012861

# Submission time Handle Problem Language Result Execution time Memory
1012861 2024-07-02T18:16:00 Z fryingduc Triple Jump (JOI19_jumps) C++17
100 / 100
 509 ms 57772 KB 
#include "bits/stdc++.h"
using namespace std;

const int maxn = 5e5 + 5;

const int inf = 1e9;

int n, q, a[maxn];
vector<pair<int, int>> cand;
int ans[maxn];

struct node {
    int res, ft, se;
    node() {
        res = ft = se = 0;
    }
    node(int x, int y, int z) : res(x), ft(y), se(z) {}
    node operator+(const node &o) const {
        node tmp = *this;
        tmp.res = max({tmp.res, o.res, this->ft + o.se});
        tmp.se = max(tmp.se, o.se);
        tmp.ft = max(tmp.ft, o.ft);
        return tmp;
    }
} tree[maxn * 4];
struct segment_tree {
    int n;
    segment_tree() {}
    segment_tree(int n) : n(n) {}
    void build(int ind, int l, int r) {
        if(l == r) {
            tree[ind].res = tree[ind].se = a[l];
            return;
        }
        int mid = (l + r) / 2;
        build(ind * 2, l, mid);
        build(ind * 2 + 1, mid + 1, r);
        tree[ind] = tree[ind * 2] + tree[ind * 2 + 1];
    }
    void update(int ind, int l, int r, int pos, int val) {
        if(l == r) {
            tree[ind].ft = max(tree[ind].ft, val);
            tree[ind].res = tree[ind].ft + tree[ind].se;
            return;
        }
        int mid = (l + r) / 2;
        if(pos <= mid) update(ind * 2, l, mid, pos, val);
        else update(ind * 2 + 1, mid + 1, r, pos, val);
        tree[ind] = tree[ind * 2] + tree[ind * 2 + 1];
    }
    node get(int ind, int l, int r, int x, int y) {
        if(l > y || r < x) return node();
        if(x <= l and r <= y) return tree[ind];
        int mid = (l + r) / 2;
        return get(ind * 2, l, mid, x, y) + get(ind * 2 + 1, mid + 1, r, x, y);
    }
    void update(int pos, int val) {
        update(1, 1, n, pos, val);
    }
    node get(int x, int y) {
        return get(1, 1, n, x, y);
    }
} st;
struct query {
    int l, r, id;
    bool operator<(const query &o) {
        return l > o.l;
    }
} que[maxn];
void solve() {
    cin >> n;
    for(int i = 1; i <= n; ++i) {
        cin >> a[i];
    }
    stack<int> s;
    for(int i = 1; i <= n; ++i) {
        while(!s.empty() and a[i] >= a[s.top()]) {
            cand.push_back({s.top(), i * 2 - s.top()});
            s.pop();
        }
        if(!s.empty()) {
            cand.push_back({s.top(), i * 2 - s.top()});
        }        
        s.push(i);
    }
    st = segment_tree(n);
    st.build(1, 1, n);
    cin >> q;
    for(int i = 1; i <= q; ++i) {
        cin >> que[i].l >> que[i].r;
        que[i].id = i;
    }
    sort(que + 1, que + q + 1);
    sort(cand.begin(), cand.end(), [](const pair<int, int> &x, const pair<int, int> &y) -> bool {
        return x.first > y.first;
    });
    int j = 0;
    for(int i = 1; i <= q; ++i) {
        while(j < (int)cand.size() and cand[j].first >= que[i].l) {
            int x = cand[j].first, y = cand[j].second;
            int z = (y + x) / 2;
            if(y <= n) st.update(y, a[x] + a[z]);
            ++j;
//            cerr << x << " " << z << " " << y << '\n';
        }
        ans[que[i].id] = st.get(que[i].l, que[i].r).res;
    }
    for(int i = 1; i <= q; ++i) {
        cout << ans[i] << '\n';
    }
}
signed main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    
    solve();
    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 27480 KB Output is correct
2 Correct 5 ms 27604 KB Output is correct
3 Correct 5 ms 27484 KB Output is correct
4 Correct 5 ms 27484 KB Output is correct
5 Correct 4 ms 27484 KB Output is correct
6 Correct 5 ms 27736 KB Output is correct
7 Correct 5 ms 27480 KB Output is correct
8 Correct 5 ms 27480 KB Output is correct
9 Correct 4 ms 27612 KB Output is correct
10 Correct 4 ms 27484 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 27480 KB Output is correct
2 Correct 5 ms 27604 KB Output is correct
3 Correct 5 ms 27484 KB Output is correct
4 Correct 5 ms 27484 KB Output is correct
5 Correct 4 ms 27484 KB Output is correct
6 Correct 5 ms 27736 KB Output is correct
7 Correct 5 ms 27480 KB Output is correct
8 Correct 5 ms 27480 KB Output is correct
9 Correct 4 ms 27612 KB Output is correct
10 Correct 4 ms 27484 KB Output is correct
11 Correct 187 ms 43280 KB Output is correct
12 Correct 173 ms 43092 KB Output is correct
13 Correct 178 ms 43092 KB Output is correct
14 Correct 174 ms 43316 KB Output is correct
15 Correct 177 ms 43348 KB Output is correct
16 Correct 179 ms 42580 KB Output is correct
17 Correct 193 ms 42660 KB Output is correct
18 Correct 208 ms 42576 KB Output is correct
19 Correct 211 ms 43088 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 82 ms 33488 KB Output is correct
2 Correct 44 ms 31440 KB Output is correct
3 Correct 52 ms 31932 KB Output is correct
4 Correct 83 ms 33488 KB Output is correct
5 Correct 77 ms 33488 KB Output is correct
6 Correct 78 ms 32824 KB Output is correct
7 Correct 86 ms 32720 KB Output is correct
8 Correct 90 ms 32720 KB Output is correct
9 Correct 83 ms 32976 KB Output is correct

Subtask #4
54.0 / 54.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 27480 KB Output is correct
2 Correct 5 ms 27604 KB Output is correct
3 Correct 5 ms 27484 KB Output is correct
4 Correct 5 ms 27484 KB Output is correct
5 Correct 4 ms 27484 KB Output is correct
6 Correct 5 ms 27736 KB Output is correct
7 Correct 5 ms 27480 KB Output is correct
8 Correct 5 ms 27480 KB Output is correct
9 Correct 4 ms 27612 KB Output is correct
10 Correct 4 ms 27484 KB Output is correct
11 Correct 187 ms 43280 KB Output is correct
12 Correct 173 ms 43092 KB Output is correct
13 Correct 178 ms 43092 KB Output is correct
14 Correct 174 ms 43316 KB Output is correct
15 Correct 177 ms 43348 KB Output is correct
16 Correct 179 ms 42580 KB Output is correct
17 Correct 193 ms 42660 KB Output is correct
18 Correct 208 ms 42576 KB Output is correct
19 Correct 211 ms 43088 KB Output is correct
20 Correct 82 ms 33488 KB Output is correct
21 Correct 44 ms 31440 KB Output is correct
22 Correct 52 ms 31932 KB Output is correct
23 Correct 83 ms 33488 KB Output is correct
24 Correct 77 ms 33488 KB Output is correct
25 Correct 78 ms 32824 KB Output is correct
26 Correct 86 ms 32720 KB Output is correct
27 Correct 90 ms 32720 KB Output is correct
28 Correct 83 ms 32976 KB Output is correct
29 Correct 509 ms 57528 KB Output is correct
30 Correct 408 ms 53668 KB Output is correct
31 Correct 360 ms 55552 KB Output is correct
32 Correct 490 ms 57532 KB Output is correct
33 Correct 486 ms 57760 KB Output is correct
34 Correct 487 ms 55204 KB Output is correct
35 Correct 465 ms 54960 KB Output is correct
36 Correct 468 ms 55076 KB Output is correct
37 Correct 485 ms 56496 KB Output is correct
38 Correct 416 ms 57512 KB Output is correct
39 Correct 417 ms 57616 KB Output is correct
40 Correct 371 ms 54196 KB Output is correct
41 Correct 388 ms 53680 KB Output is correct
42 Correct 384 ms 53656 KB Output is correct
43 Correct 375 ms 55400 KB Output is correct
44 Correct 427 ms 57520 KB Output is correct
45 Correct 402 ms 57480 KB Output is correct
46 Correct 393 ms 54452 KB Output is correct
47 Correct 385 ms 53936 KB Output is correct
48 Correct 392 ms 53992 KB Output is correct
49 Correct 407 ms 56092 KB Output is correct
50 Correct 427 ms 57520 KB Output is correct
51 Correct 424 ms 57772 KB Output is correct
52 Correct 451 ms 55220 KB Output is correct
53 Correct 413 ms 54936 KB Output is correct
54 Correct 445 ms 54944 KB Output is correct
55 Correct 444 ms 56500 KB Output is correct