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Submission #683032

# Submission time Handle Problem Language Result Execution time Memory
683032 2023-01-17T14:59:24 Z tht2005 Triple Jump (JOI19_jumps) C++17
100 / 100
 1047 ms 99896 KB 
#include <bits/stdc++.h>

using namespace std;

#define M 524288
int st[M << 1], A[M << 1], B[M << 1], C[M << 1], lz[M << 1];
//                         MIN        MAX

void push(int x, int l, int r) {
    if(lz[x] > 0) {
        st[x] = A[x] + lz[x];
        B[x] = C[x] = lz[x];
        if(l != r) {
            lz[x << 1] = lz[x << 1 | 1] = lz[x];
        }
        lz[x] = 0;
    }
}
void update(int x, int l, int r, int ql, int qr, int d) {
    push(x, l, r);
    if(r < ql || qr < l || B[x] >= d) {
        return;
    }
    if(ql <= l && r <= qr && C[x] <= d) {
        lz[x] = d;
        push(x, l, r);
    }
    else {
        int m = (l + r) >> 1;
        update(x << 1, l, m, ql, qr, d);
        update(x << 1 | 1, m + 1, r, ql, qr, d);
        st[x] = max(st[x << 1], st[x << 1 | 1]);
        B[x] = min(B[x << 1], B[x << 1 | 1]);
        C[x] = max(C[x << 1], C[x << 1 | 1]);
    }
}
int query(int x, int l, int r, int ql, int qr) {
    push(x, l, r);
    if(r < ql || qr < l) {
        return 0;
    }
    if(ql <= l && r <= qr) {
        return st[x];
    }
    int m = (l + r) >> 1;
    return max(query(x << 1, l, m, ql, qr), query(x << 1 | 1, m + 1, r, ql, qr));
}

#define N 500005
int a[N], L[N], R[N], res[N];
vector<int> pot[N];
vector<pair<int, int>> queries[N];

void build(int x, int l, int r) {
    st[x] = B[x] = C[x] = 0;
    if(l == r) {
        A[x] = a[l];
    }
    else {
        int m = (l + r) >> 1;
        build(x << 1, l, m);
        build(x << 1 | 1, m + 1, r);
        A[x] = max(A[x << 1], A[x << 1 | 1]);
    }
}

int main() {
    ios::sync_with_stdio(false);
    cin.tie(NULL);
    int n;
    cin >> n;
    for(int i = 1; i <= n; ++i) {
        cin >> a[i];
    }
    for(int i = 1, j; i <= n; ++i) {
        j = i - 1;
        while(j > 0 && a[i] > a[j]) {
            j = L[j];
        }
        L[i] = j;
    }
    for(int i = n, j; i > 0; --i) {
        j = i + 1;
        while(j <= n && a[i] > a[j]) {
            j = R[j];
        }
        R[i] = j;
    }
    for(int i = 1; i <= n; ++i) {
        if(L[i] > 0) {
            pot[L[i]].push_back(i);
        }
        if(R[i] <= n) {
            pot[i].push_back(R[i]);
        }
    }
    int q;
    cin >> q;
    for(int i = 1; i <= q; ++i) {
        int l, r;
        cin >> l >> r;
        queries[l].emplace_back(i, r);
    }
    build(1, 1, n);
    for(int i = n; i > 0; --i) {
        sort(pot[i].begin(), pot[i].end());
        pot[i].erase(unique(pot[i].begin(), pot[i].end()), pot[i].end());
        for(int j : pot[i]) {
            int k_min = j + j - i;
            if(k_min <= n) {
                update(1, 1, n, k_min, n, a[i] + a[j]);
            }
        }
        for(const auto& [j, r] : queries[i]) {
            res[j] = query(1, 1, n, i, r);
        }
    }
    for(int i = 1; i <= q; ++i) {
        cout << res[i] << '\n';
    }
    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 23764 KB Output is correct
2 Correct 13 ms 23908 KB Output is correct
3 Correct 14 ms 23892 KB Output is correct
4 Correct 12 ms 23892 KB Output is correct
5 Correct 14 ms 23892 KB Output is correct
6 Correct 14 ms 23892 KB Output is correct
7 Correct 12 ms 23868 KB Output is correct
8 Correct 13 ms 23892 KB Output is correct
9 Correct 13 ms 23892 KB Output is correct
10 Correct 12 ms 23892 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 23764 KB Output is correct
2 Correct 13 ms 23908 KB Output is correct
3 Correct 14 ms 23892 KB Output is correct
4 Correct 12 ms 23892 KB Output is correct
5 Correct 14 ms 23892 KB Output is correct
6 Correct 14 ms 23892 KB Output is correct
7 Correct 12 ms 23868 KB Output is correct
8 Correct 13 ms 23892 KB Output is correct
9 Correct 13 ms 23892 KB Output is correct
10 Correct 12 ms 23892 KB Output is correct
11 Correct 318 ms 43016 KB Output is correct
12 Correct 269 ms 42840 KB Output is correct
13 Correct 293 ms 42916 KB Output is correct
14 Correct 278 ms 42952 KB Output is correct
15 Correct 273 ms 42980 KB Output is correct
16 Correct 303 ms 42320 KB Output is correct
17 Correct 308 ms 42380 KB Output is correct
18 Correct 387 ms 42216 KB Output is correct
19 Correct 301 ms 42860 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 172 ms 44672 KB Output is correct
2 Correct 107 ms 43896 KB Output is correct
3 Correct 108 ms 44360 KB Output is correct
4 Correct 212 ms 44584 KB Output is correct
5 Correct 185 ms 44632 KB Output is correct
6 Correct 183 ms 43980 KB Output is correct
7 Correct 175 ms 43964 KB Output is correct
8 Correct 186 ms 43872 KB Output is correct
9 Correct 165 ms 44212 KB Output is correct

Subtask #4
54.0 / 54.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 23764 KB Output is correct
2 Correct 13 ms 23908 KB Output is correct
3 Correct 14 ms 23892 KB Output is correct
4 Correct 12 ms 23892 KB Output is correct
5 Correct 14 ms 23892 KB Output is correct
6 Correct 14 ms 23892 KB Output is correct
7 Correct 12 ms 23868 KB Output is correct
8 Correct 13 ms 23892 KB Output is correct
9 Correct 13 ms 23892 KB Output is correct
10 Correct 12 ms 23892 KB Output is correct
11 Correct 318 ms 43016 KB Output is correct
12 Correct 269 ms 42840 KB Output is correct
13 Correct 293 ms 42916 KB Output is correct
14 Correct 278 ms 42952 KB Output is correct
15 Correct 273 ms 42980 KB Output is correct
16 Correct 303 ms 42320 KB Output is correct
17 Correct 308 ms 42380 KB Output is correct
18 Correct 387 ms 42216 KB Output is correct
19 Correct 301 ms 42860 KB Output is correct
20 Correct 172 ms 44672 KB Output is correct
21 Correct 107 ms 43896 KB Output is correct
22 Correct 108 ms 44360 KB Output is correct
23 Correct 212 ms 44584 KB Output is correct
24 Correct 185 ms 44632 KB Output is correct
25 Correct 183 ms 43980 KB Output is correct
26 Correct 175 ms 43964 KB Output is correct
27 Correct 186 ms 43872 KB Output is correct
28 Correct 165 ms 44212 KB Output is correct
29 Correct 1047 ms 94216 KB Output is correct
30 Correct 796 ms 92520 KB Output is correct
31 Correct 886 ms 93596 KB Output is correct
32 Correct 987 ms 94176 KB Output is correct
33 Correct 1044 ms 94204 KB Output is correct
34 Correct 1000 ms 91936 KB Output is correct
35 Correct 1040 ms 91672 KB Output is correct
36 Correct 1035 ms 91648 KB Output is correct
37 Correct 971 ms 93044 KB Output is correct
38 Correct 711 ms 99896 KB Output is correct
39 Correct 716 ms 99868 KB Output is correct
40 Correct 694 ms 96540 KB Output is correct
41 Correct 736 ms 96012 KB Output is correct
42 Correct 707 ms 96096 KB Output is correct
43 Correct 695 ms 97944 KB Output is correct
44 Correct 758 ms 99256 KB Output is correct
45 Correct 792 ms 99284 KB Output is correct
46 Correct 716 ms 96168 KB Output is correct
47 Correct 747 ms 95828 KB Output is correct
48 Correct 753 ms 95820 KB Output is correct
49 Correct 757 ms 97848 KB Output is correct
50 Correct 791 ms 97472 KB Output is correct
51 Correct 812 ms 97536 KB Output is correct
52 Correct 822 ms 94956 KB Output is correct
53 Correct 799 ms 94532 KB Output is correct
54 Correct 810 ms 94524 KB Output is correct
55 Correct 796 ms 96328 KB Output is correct