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Submission #970570

# Submission time Handle Problem Language Result Execution time Memory
970570 2024-04-26T17:48:54 Z DAleksa Triple Jump (JOI19_jumps) C++17
100 / 100
 786 ms 94648 KB 
#include <bits/stdc++.h>

using namespace std;

mt19937 rng(time(0));
int random(int l, int r) { return rng() % (r - l + 1) + l; }

struct query {
    int l, r;
    int ans;
};

struct node {
    int mx;
    int ans;
    int lzy;
};

const int N = 5e5 + 10;
int n, q;
int a[N];
query Q[N];
node st[4 * N];
vector<int> qs[N];
vector<int> upd[N];
stack<int> stk;

void build(int index, int l, int r) {
    if(l > r) return;
    if(l == r) {
        st[index].mx = a[l];
        st[index].ans = a[l];
        st[index].lzy = 0;
        return;
    }
    int mid = (l + r) / 2;
    build(2 * index, l, mid);
    build(2 * index + 1, mid + 1, r);
    st[index].mx = max(st[2 * index].mx, st[2 * index + 1].mx);
    st[index].ans = max(st[2 * index].ans, st[2 * index + 1].ans);
    st[index].lzy = 0;
}

void propagate(int index) {
    if(2 * index + 1 < 4 * N && st[index].lzy > 0) {
        st[2 * index].ans = max(st[2 * index].ans, st[2 * index].mx + st[index].lzy);
        st[2 * index].lzy = max(st[2 * index].lzy, st[index].lzy);
        st[2 * index + 1].ans = max(st[2 * index + 1].ans, st[2 * index + 1].mx + st[index].lzy);
        st[2 * index + 1].lzy = max(st[2 * index + 1].lzy, st[index].lzy);
        st[index].lzy = 0;
    }
}

void update(int index, int l, int r, int L, int R, int val) {
    if(l > r || r < L || R < l) return;
    if(L <= l && r <= R) {
        st[index].ans = max(st[index].ans, val + st[index].mx);
        st[index].lzy = max(st[index].lzy, val);
        return;
    }
    propagate(index);
    int mid = (l + r) / 2;
    update(2 * index, l, mid, L, R, val);
    update(2 * index + 1, mid + 1, r, L, R, val);
    st[index].ans = max(st[2 * index].ans, st[2 * index + 1].ans);
}

int get(int index, int l, int r, int L, int R) {
    if(l > r || r < L || R < l) return 0;
    if(L <= l && r <= R) return st[index].ans;
    propagate(index);
    int mid = (l + r) / 2;
    return max(get(2 * index, l, mid, L, R), get(2 * index + 1, mid + 1, r, L, R));
}

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);
//    while(true) {
    cin >> n;
//    n = 10;
    for(int i = 1; i <= n; i++) cin >> a[i];
//    for(int i = 1; i <= n; i++) a[i] = random(1, 10);
    cin >> q;
//    q = 10;
    for(int i = 1; i <= q; i++) {
        cin >> Q[i].l >> Q[i].r;
//        Q[i].l = random(1, 8);
//        Q[i].r = random(Q[i].l + 2, 10);
        qs[Q[i].l].push_back(i);
    }
    for(int i = 1; i <= n; i++) {
        while(!stk.empty() && a[stk.top()] < a[i]) stk.pop();
        if(!stk.empty()) {
            int x = stk.top(), y = i;
            if(y + (y - x) <= n) upd[x].push_back(y);
        }
        stk.push(i);
    }
    while(!stk.empty()) stk.pop();
    for(int i = n; i >= 1; i--) {
        while(!stk.empty() && a[stk.top()] < a[i]) stk.pop();
        if(!stk.empty()) {
            int x = i, y = stk.top();
            if(y + (y - x) <= n) upd[x].push_back(y);
        }
        stk.push(i);
    }
    build(1, 1, n);
    for(int l = n; l >= 1; l--) {
        for(int y : upd[l]) {
            int x = l;
            int z = y + (y - x);
            update(1, 1, n, z, n, a[x] + a[y]);
        }
        for(int ind : qs[l]) {
            int r = Q[ind].r;
            Q[ind].ans = get(1, 1, n, l, r);
        }
    }
    for(int i = 1; i <= q; i++) cout << Q[i].ans << "\n";
//    for(int i = 1; i <= q; i++) {
//        int l = Q[i].l, r = Q[i].r;
//        int mx = 0;
//        for(int x = l; x <= r; x++) {
//            for(int y = x + 1; y <= r; y++) {
//                for(int z = y + (y - x); z <= r; z++) {
//                    mx = max(mx, a[x] + a[y] + a[z]);
//                }
//            }
//        }
//        if(mx != Q[i].ans) {
//            cout << n << "\n";
//            for(int i = 1; i <= n; i++) cout << a[i] << " ";
//            cout << "\n";
//            cout << q << "\n";
//            for(int i = 1; i <= q; i++) cout << Q[i].l << " " << Q[i].r << "\n";
//            return 0;
//        }
//    }
//    }
    return 0;
}

/*

10
2 4 5 2 10 2 9 9 10 8
10
8 10
5 7
7 9
5 10
3 10
8 10
5 9
3 5
8 10
7 9

*/

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 29276 KB Output is correct
2 Correct 7 ms 29276 KB Output is correct
3 Correct 6 ms 29276 KB Output is correct
4 Correct 6 ms 29272 KB Output is correct
5 Correct 6 ms 29276 KB Output is correct
6 Correct 6 ms 29272 KB Output is correct
7 Correct 6 ms 29272 KB Output is correct
8 Correct 6 ms 29376 KB Output is correct
9 Correct 7 ms 29272 KB Output is correct
10 Correct 6 ms 29276 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 29276 KB Output is correct
2 Correct 7 ms 29276 KB Output is correct
3 Correct 6 ms 29276 KB Output is correct
4 Correct 6 ms 29272 KB Output is correct
5 Correct 6 ms 29276 KB Output is correct
6 Correct 6 ms 29272 KB Output is correct
7 Correct 6 ms 29272 KB Output is correct
8 Correct 6 ms 29376 KB Output is correct
9 Correct 7 ms 29272 KB Output is correct
10 Correct 6 ms 29276 KB Output is correct
11 Correct 216 ms 46676 KB Output is correct
12 Correct 218 ms 46416 KB Output is correct
13 Correct 238 ms 46852 KB Output is correct
14 Correct 218 ms 46676 KB Output is correct
15 Correct 232 ms 46800 KB Output is correct
16 Correct 220 ms 45904 KB Output is correct
17 Correct 220 ms 45908 KB Output is correct
18 Correct 224 ms 45868 KB Output is correct
19 Correct 237 ms 46532 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 110 ms 43828 KB Output is correct
2 Correct 64 ms 44328 KB Output is correct
3 Correct 65 ms 44368 KB Output is correct
4 Correct 111 ms 43604 KB Output is correct
5 Correct 110 ms 43576 KB Output is correct
6 Correct 108 ms 43168 KB Output is correct
7 Correct 108 ms 43056 KB Output is correct
8 Correct 108 ms 43060 KB Output is correct
9 Correct 110 ms 43256 KB Output is correct

Subtask #4
54.0 / 54.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 29276 KB Output is correct
2 Correct 7 ms 29276 KB Output is correct
3 Correct 6 ms 29276 KB Output is correct
4 Correct 6 ms 29272 KB Output is correct
5 Correct 6 ms 29276 KB Output is correct
6 Correct 6 ms 29272 KB Output is correct
7 Correct 6 ms 29272 KB Output is correct
8 Correct 6 ms 29376 KB Output is correct
9 Correct 7 ms 29272 KB Output is correct
10 Correct 6 ms 29276 KB Output is correct
11 Correct 216 ms 46676 KB Output is correct
12 Correct 218 ms 46416 KB Output is correct
13 Correct 238 ms 46852 KB Output is correct
14 Correct 218 ms 46676 KB Output is correct
15 Correct 232 ms 46800 KB Output is correct
16 Correct 220 ms 45904 KB Output is correct
17 Correct 220 ms 45908 KB Output is correct
18 Correct 224 ms 45868 KB Output is correct
19 Correct 237 ms 46532 KB Output is correct
20 Correct 110 ms 43828 KB Output is correct
21 Correct 64 ms 44328 KB Output is correct
22 Correct 65 ms 44368 KB Output is correct
23 Correct 111 ms 43604 KB Output is correct
24 Correct 110 ms 43576 KB Output is correct
25 Correct 108 ms 43168 KB Output is correct
26 Correct 108 ms 43056 KB Output is correct
27 Correct 108 ms 43060 KB Output is correct
28 Correct 110 ms 43256 KB Output is correct
29 Correct 754 ms 88148 KB Output is correct
30 Correct 619 ms 89412 KB Output is correct
31 Correct 626 ms 89544 KB Output is correct
32 Correct 765 ms 88024 KB Output is correct
33 Correct 762 ms 88148 KB Output is correct
34 Correct 762 ms 85844 KB Output is correct
35 Correct 761 ms 85376 KB Output is correct
36 Correct 752 ms 85380 KB Output is correct
37 Correct 786 ms 86984 KB Output is correct
38 Correct 551 ms 94628 KB Output is correct
39 Correct 532 ms 94648 KB Output is correct
40 Correct 525 ms 91476 KB Output is correct
41 Correct 517 ms 90980 KB Output is correct
42 Correct 525 ms 90968 KB Output is correct
43 Correct 528 ms 92756 KB Output is correct
44 Correct 572 ms 94032 KB Output is correct
45 Correct 565 ms 94092 KB Output is correct
46 Correct 551 ms 91004 KB Output is correct
47 Correct 553 ms 90400 KB Output is correct
48 Correct 556 ms 90648 KB Output is correct
49 Correct 570 ms 92752 KB Output is correct
50 Correct 648 ms 91988 KB Output is correct
51 Correct 627 ms 91772 KB Output is correct
52 Correct 612 ms 89428 KB Output is correct
53 Correct 607 ms 89116 KB Output is correct
54 Correct 594 ms 89108 KB Output is correct
55 Correct 609 ms 90704 KB Output is correct