Submission #969252

# Submission time Handle Problem Language Result Execution time Memory
969252 2024-04-24T19:47:28 Z duckindog Triple Jump (JOI19_jumps) C++17
100 / 100
721 ms 62272 KB
#include <bits/stdc++.h>

using namespace std;

const int N = 500'000 + 10;
int n;
int a[N];
int q;
vector<pair<int, int>> Q[N];

int f[N << 2], T[N << 2], lazy[N << 2];
void build(int s, int l, int r) { 
  if (l == r) { 
    T[s] = f[s] = a[l];
    return;
  }
  int mid = l + r >> 1;
  build(s << 1, l, mid); build(s << 1 | 1, mid + 1, r);
  T[s] = max(T[s << 1], T[s << 1 | 1]);
  f[s] = max(f[s << 1], f[s << 1 | 1]);
}

void push(int s) { 
  f[s << 1] = max(f[s << 1], T[s << 1] + lazy[s]);
  f[s << 1 | 1] = max(f[s << 1 | 1], T[s << 1 | 1] + lazy[s]);

  lazy[s << 1] = max(lazy[s << 1], lazy[s]);
  lazy[s << 1 | 1] = max(lazy[s << 1 | 1], lazy[s]); 
}
void update(int s, int l, int r, int u, int v, int x) { 
  if (v < l || u > r) return;
  if (u <= l && r <= v) { 
    lazy[s] = max(lazy[s], x);
    f[s] = max(f[s], T[s] + x);
    return;
  }
  push(s);
  int mid = l + r >> 1;
  update(s << 1, l, mid, u, v, x); update(s << 1 | 1, mid + 1, r, u, v, x);
  f[s] = max(f[s << 1], f[s << 1 | 1]);
}
int query(int s, int l, int r, int u, int v) { 
  if (v < l || u > r) return 0;
  if (u <= l && r <= v) return f[s];
  push(s);
  int mid = l + r >> 1;
  return max(query(s << 1, l, mid, u, v), query(s << 1 | 1, mid + 1, r, u, v));
}

int32_t main() { 
  cin.tie(0)->sync_with_stdio(0);

  cin >> n;
  for (int i = 1; i <= n; ++i) cin >> a[i];
  cin >> q;
  for (int i = 1; i <= q; ++i) { 
    int l, r; cin >> l >> r;
    Q[l].push_back({r, i});
  }
  vector<int>answer(q + 1);
  
  build(1, 1, n);

  stack<int> st; 
  for (int i = n; i >= 1; --i) { 
    while (st.size() && a[st.top()] <= a[i]) {
      update(1, 1, n, st.top() * 2 - i, n, a[st.top()] + a[i]);
      st.pop();
    }
    if (st.size()) update(1, 1, n, st.top() * 2 - i, n, a[st.top()] + a[i]);
    for (const auto& [r, idx] : Q[i]) answer[idx] = query(1, 1, n, i, r);
    st.push(i);
  }

  for (int i = 1; i <= q; ++i) cout << answer[i] << "\n";
}

Compilation message

jumps.cpp: In function 'void build(int, int, int)':
jumps.cpp:17:15: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   17 |   int mid = l + r >> 1;
      |             ~~^~~
jumps.cpp: In function 'void update(int, int, int, int, int, int)':
jumps.cpp:38:15: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   38 |   int mid = l + r >> 1;
      |             ~~^~~
jumps.cpp: In function 'int query(int, int, int, int, int)':
jumps.cpp:46:15: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   46 |   int mid = l + r >> 1;
      |             ~~^~~
# Verdict Execution time Memory Grader output
1 Correct 5 ms 18780 KB Output is correct
2 Correct 5 ms 18780 KB Output is correct
3 Correct 4 ms 18780 KB Output is correct
4 Correct 5 ms 18780 KB Output is correct
5 Correct 4 ms 18780 KB Output is correct
6 Correct 5 ms 18780 KB Output is correct
7 Correct 5 ms 18780 KB Output is correct
8 Correct 4 ms 18780 KB Output is correct
9 Correct 3 ms 18780 KB Output is correct
10 Correct 4 ms 18780 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 18780 KB Output is correct
2 Correct 5 ms 18780 KB Output is correct
3 Correct 4 ms 18780 KB Output is correct
4 Correct 5 ms 18780 KB Output is correct
5 Correct 4 ms 18780 KB Output is correct
6 Correct 5 ms 18780 KB Output is correct
7 Correct 5 ms 18780 KB Output is correct
8 Correct 4 ms 18780 KB Output is correct
9 Correct 3 ms 18780 KB Output is correct
10 Correct 4 ms 18780 KB Output is correct
11 Correct 250 ms 32852 KB Output is correct
12 Correct 227 ms 36636 KB Output is correct
13 Correct 215 ms 36536 KB Output is correct
14 Correct 220 ms 36820 KB Output is correct
15 Correct 263 ms 36724 KB Output is correct
16 Correct 219 ms 36104 KB Output is correct
17 Correct 217 ms 35872 KB Output is correct
18 Correct 215 ms 35788 KB Output is correct
19 Correct 217 ms 36584 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 99 ms 24908 KB Output is correct
2 Correct 63 ms 27220 KB Output is correct
3 Correct 65 ms 26412 KB Output is correct
4 Correct 99 ms 26600 KB Output is correct
5 Correct 100 ms 26488 KB Output is correct
6 Correct 94 ms 26092 KB Output is correct
7 Correct 97 ms 26148 KB Output is correct
8 Correct 97 ms 25824 KB Output is correct
9 Correct 95 ms 26384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 18780 KB Output is correct
2 Correct 5 ms 18780 KB Output is correct
3 Correct 4 ms 18780 KB Output is correct
4 Correct 5 ms 18780 KB Output is correct
5 Correct 4 ms 18780 KB Output is correct
6 Correct 5 ms 18780 KB Output is correct
7 Correct 5 ms 18780 KB Output is correct
8 Correct 4 ms 18780 KB Output is correct
9 Correct 3 ms 18780 KB Output is correct
10 Correct 4 ms 18780 KB Output is correct
11 Correct 250 ms 32852 KB Output is correct
12 Correct 227 ms 36636 KB Output is correct
13 Correct 215 ms 36536 KB Output is correct
14 Correct 220 ms 36820 KB Output is correct
15 Correct 263 ms 36724 KB Output is correct
16 Correct 219 ms 36104 KB Output is correct
17 Correct 217 ms 35872 KB Output is correct
18 Correct 215 ms 35788 KB Output is correct
19 Correct 217 ms 36584 KB Output is correct
20 Correct 99 ms 24908 KB Output is correct
21 Correct 63 ms 27220 KB Output is correct
22 Correct 65 ms 26412 KB Output is correct
23 Correct 99 ms 26600 KB Output is correct
24 Correct 100 ms 26488 KB Output is correct
25 Correct 94 ms 26092 KB Output is correct
26 Correct 97 ms 26148 KB Output is correct
27 Correct 97 ms 25824 KB Output is correct
28 Correct 95 ms 26384 KB Output is correct
29 Correct 721 ms 56772 KB Output is correct
30 Correct 602 ms 58696 KB Output is correct
31 Correct 584 ms 56916 KB Output is correct
32 Correct 683 ms 56644 KB Output is correct
33 Correct 707 ms 57172 KB Output is correct
34 Correct 678 ms 54932 KB Output is correct
35 Correct 677 ms 54628 KB Output is correct
36 Correct 674 ms 55084 KB Output is correct
37 Correct 718 ms 55636 KB Output is correct
38 Correct 501 ms 62272 KB Output is correct
39 Correct 498 ms 62204 KB Output is correct
40 Correct 536 ms 59512 KB Output is correct
41 Correct 495 ms 59104 KB Output is correct
42 Correct 499 ms 58960 KB Output is correct
43 Correct 497 ms 60644 KB Output is correct
44 Correct 551 ms 61548 KB Output is correct
45 Correct 553 ms 61672 KB Output is correct
46 Correct 520 ms 59160 KB Output is correct
47 Correct 512 ms 58672 KB Output is correct
48 Correct 539 ms 58584 KB Output is correct
49 Correct 586 ms 60492 KB Output is correct
50 Correct 585 ms 60000 KB Output is correct
51 Correct 592 ms 60232 KB Output is correct
52 Correct 577 ms 57764 KB Output is correct
53 Correct 575 ms 57820 KB Output is correct
54 Correct 588 ms 57548 KB Output is correct
55 Correct 591 ms 59056 KB Output is correct