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답안 #922662

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
922662 2024-02-05T22:07:08 Z myst6 Hedgehog Daniyar and Algorithms (IZhO19_sortbooks) C++14
100 / 100
 2031 ms 141748 KB 
#include <bits/stdc++.h>

using namespace std;

// [3, 5, 1, 8, 4]
// [3, 5, 1, 8, 4]
// each number + the largest one to the left of it, only if it strictly larger
// e.g. 4 + 8 yes
//      8 + 5 no
//      1 + 5 yes
//      5 + 3 yes
// when adding a new entry, update values [i+1, next highest-1]
// but first, undo all changes from indices in the range [i+1, next highest-1]
// [3, 5, 1, 8, 4]
// [0, 0, 0, 0, 8]
// [0, 0, 5, 5, 8]
// [0, 3, 5, 5, 8]
// then do range maximum on that

struct Tree { 
  vector<int> tag, info;
  Tree(int size) { 
    tag.resize(size*4); 
    info.resize(size*4); 
  }
  void pushdown(int x) {
    info[x] += tag[x];
    if (x*2 < tag.size()) tag[x*2] += tag[x];
    if (x*2+1 < tag.size()) tag[x*2+1] += tag[x];
    tag[x] = 0;
  }
  void update(int l, int r, int x, int xl, int xr, int val) {
    if (l > r) return;
    if (l == xl && r == xr) {
      tag[x] = val;
    } else {
      int xm = (xl + xr) / 2;
      update(l, min(r, xm), x*2, xl, xm, val);
      update(max(l, xm+1), r, x*2+1, xm+1, xr, val);
      pushdown(x); pushdown(x*2); pushdown(x*2+1);
      info[x] = max(info[x*2], info[x*2+1]);
    }
  }
  int query(int l, int r, int x, int xl, int xr) {
    if (l > r) return 0;
    pushdown(x);
    if (l == xl && r == xr) {
      return info[x]; 
    } else {
      int xm = (xl + xr) / 2;
      int left = query(l, min(r, xm), x*2, xl, xm);
      int right = query(max(l, xm+1), r, x*2+1, xm+1, xr);
      return max(left, right);
    }
  }
};

int main() {
  cin.tie(0)->sync_with_stdio(0);
  int N, M;
  cin >> N >> M;
  vector<int> w(N);
  for (int i=0; i<N; i++) cin >> w[i];
  vector<int> next(N, N);
  stack<int> S;
  for (int i=0; i<N; i++) {
    while (S.size() && w[S.top()] <= w[i]) {
      next[S.top()] = i;
      S.pop();
    }
    S.push(i);
  }
  vector<array<int,4>> queries(M);
  for (int i=0; i<M; i++) {
    int l, r, k;
    cin >> l >> r >> k;
    queries[i] = {{l-1, r-1, k, i}};
  }
  sort(queries.rbegin(), queries.rend());
  Tree tree(N);
  vector<int> ans(M);
  int line = N;
  set<int> changes;
  set<int> todo;
  for (int i=0; i<N; i++) todo.insert(i);
  for (int i=0; i<M; i++) {
    int l = queries[i][0], r = queries[i][1];
    int k = queries[i][2], q = queries[i][3];
    while (line > l) {
      line--;
      if (line+1 < next[line]) {
        while (changes.size() && *changes.begin() < next[line]) {
          int idx = *changes.begin();
          tree.update(idx+1, next[idx]-1, 1, 0, N-1, -w[idx]);
          changes.erase(idx);
        }
        vector<int> to_add;
        for (auto it = todo.lower_bound(line+1); it != todo.end(); ++it) {
          int idx = *it;
          if (idx < next[line]) {
            to_add.push_back(idx);
          } else {
            break;
          }
        } 
        for (int idx : to_add) {
          tree.update(idx, idx, 1, 0, N-1, w[idx]);
          todo.erase(idx);
        }
        tree.update(line+1, next[line]-1, 1, 0, N-1, w[line]);
        changes.insert(line);
      }
    }
    // for (int j=0; j<N; j++) cout << tree.query(j, j, 1, 0, N-1) << " "; cout << "\n";
    int cost = tree.query(l, r, 1, 0, N-1);
    if (cost <= k) ans[q] = 1;
  }
  for (int x : ans) cout << x << "\n";
  return 0;
}

/*
9 9
1 2 3 2 3 4 3 4 5
9 9 0
8 8 0
7 7 0
6 6 0
5 5 0
4 4 0
3 3 0
2 2 0
1 1 0
*/

Compilation message

sortbooks.cpp: In member function 'void Tree::pushdown(int)':
sortbooks.cpp:28:13: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   28 |     if (x*2 < tag.size()) tag[x*2] += tag[x];
      |         ~~~~^~~~~~~~~~~~
sortbooks.cpp:29:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   29 |     if (x*2+1 < tag.size()) tag[x*2+1] += tag[x];
      |         ~~~~~~^~~~~~~~~~~~

Subtask #1
8.0 / 8.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 500 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 3 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct

Subtask #2
9.0 / 9.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 500 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 3 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 3 ms 468 KB Output is correct
12 Correct 5 ms 860 KB Output is correct
13 Correct 6 ms 860 KB Output is correct
14 Correct 7 ms 1112 KB Output is correct
15 Correct 7 ms 1116 KB Output is correct
16 Correct 5 ms 860 KB Output is correct
17 Correct 4 ms 860 KB Output is correct
18 Correct 5 ms 860 KB Output is correct

Subtask #3
13.0 / 13.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1991 ms 107920 KB Output is correct
2 Correct 2031 ms 107976 KB Output is correct
3 Correct 1980 ms 107932 KB Output is correct
4 Correct 1962 ms 108304 KB Output is correct
5 Correct 1168 ms 107920 KB Output is correct

Subtask #4
17.0 / 17.0

# 결과 실행 시간 메모리 Grader output
1 Correct 161 ms 11020 KB Output is correct
2 Correct 169 ms 12968 KB Output is correct
3 Correct 85 ms 13020 KB Output is correct
4 Correct 87 ms 13140 KB Output is correct
5 Correct 97 ms 13012 KB Output is correct
6 Correct 86 ms 13144 KB Output is correct
7 Correct 86 ms 12920 KB Output is correct
8 Correct 101 ms 12888 KB Output is correct
9 Correct 39 ms 3864 KB Output is correct
10 Correct 93 ms 12940 KB Output is correct

Subtask #5
30.0 / 30.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 500 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 3 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 3 ms 468 KB Output is correct
12 Correct 5 ms 860 KB Output is correct
13 Correct 6 ms 860 KB Output is correct
14 Correct 7 ms 1112 KB Output is correct
15 Correct 7 ms 1116 KB Output is correct
16 Correct 5 ms 860 KB Output is correct
17 Correct 4 ms 860 KB Output is correct
18 Correct 5 ms 860 KB Output is correct
19 Correct 355 ms 28524 KB Output is correct
20 Correct 352 ms 28496 KB Output is correct
21 Correct 346 ms 28292 KB Output is correct
22 Correct 339 ms 28300 KB Output is correct
23 Correct 338 ms 28244 KB Output is correct
24 Correct 185 ms 28312 KB Output is correct
25 Correct 188 ms 28188 KB Output is correct
26 Correct 213 ms 28312 KB Output is correct
27 Correct 188 ms 28436 KB Output is correct
28 Correct 201 ms 28396 KB Output is correct
29 Correct 195 ms 28496 KB Output is correct
30 Correct 195 ms 28432 KB Output is correct
31 Correct 193 ms 28496 KB Output is correct
32 Correct 194 ms 28500 KB Output is correct
33 Correct 202 ms 28496 KB Output is correct
34 Correct 188 ms 27984 KB Output is correct
35 Correct 186 ms 27984 KB Output is correct
36 Correct 192 ms 27900 KB Output is correct
37 Correct 186 ms 27848 KB Output is correct
38 Correct 186 ms 28056 KB Output is correct
39 Correct 227 ms 26960 KB Output is correct
40 Correct 144 ms 20432 KB Output is correct
41 Correct 210 ms 26668 KB Output is correct

Subtask #6
23.0 / 23.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 500 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 3 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 3 ms 468 KB Output is correct
12 Correct 5 ms 860 KB Output is correct
13 Correct 6 ms 860 KB Output is correct
14 Correct 7 ms 1112 KB Output is correct
15 Correct 7 ms 1116 KB Output is correct
16 Correct 5 ms 860 KB Output is correct
17 Correct 4 ms 860 KB Output is correct
18 Correct 5 ms 860 KB Output is correct
19 Correct 1991 ms 107920 KB Output is correct
20 Correct 2031 ms 107976 KB Output is correct
21 Correct 1980 ms 107932 KB Output is correct
22 Correct 1962 ms 108304 KB Output is correct
23 Correct 1168 ms 107920 KB Output is correct
24 Correct 161 ms 11020 KB Output is correct
25 Correct 169 ms 12968 KB Output is correct
26 Correct 85 ms 13020 KB Output is correct
27 Correct 87 ms 13140 KB Output is correct
28 Correct 97 ms 13012 KB Output is correct
29 Correct 86 ms 13144 KB Output is correct
30 Correct 86 ms 12920 KB Output is correct
31 Correct 101 ms 12888 KB Output is correct
32 Correct 39 ms 3864 KB Output is correct
33 Correct 93 ms 12940 KB Output is correct
34 Correct 355 ms 28524 KB Output is correct
35 Correct 352 ms 28496 KB Output is correct
36 Correct 346 ms 28292 KB Output is correct
37 Correct 339 ms 28300 KB Output is correct
38 Correct 338 ms 28244 KB Output is correct
39 Correct 185 ms 28312 KB Output is correct
40 Correct 188 ms 28188 KB Output is correct
41 Correct 213 ms 28312 KB Output is correct
42 Correct 188 ms 28436 KB Output is correct
43 Correct 201 ms 28396 KB Output is correct
44 Correct 195 ms 28496 KB Output is correct
45 Correct 195 ms 28432 KB Output is correct
46 Correct 193 ms 28496 KB Output is correct
47 Correct 194 ms 28500 KB Output is correct
48 Correct 202 ms 28496 KB Output is correct
49 Correct 188 ms 27984 KB Output is correct
50 Correct 186 ms 27984 KB Output is correct
51 Correct 192 ms 27900 KB Output is correct
52 Correct 186 ms 27848 KB Output is correct
53 Correct 186 ms 28056 KB Output is correct
54 Correct 227 ms 26960 KB Output is correct
55 Correct 144 ms 20432 KB Output is correct
56 Correct 210 ms 26668 KB Output is correct
57 Correct 1978 ms 141572 KB Output is correct
58 Correct 1977 ms 141532 KB Output is correct
59 Correct 1940 ms 141704 KB Output is correct
60 Correct 2008 ms 141444 KB Output is correct
61 Correct 1947 ms 141700 KB Output is correct
62 Correct 1979 ms 141680 KB Output is correct
63 Correct 1014 ms 139860 KB Output is correct
64 Correct 1057 ms 139840 KB Output is correct
65 Correct 1205 ms 141652 KB Output is correct
66 Correct 1152 ms 141608 KB Output is correct
67 Correct 1174 ms 141540 KB Output is correct
68 Correct 1194 ms 141664 KB Output is correct
69 Correct 1222 ms 141648 KB Output is correct
70 Correct 1184 ms 141624 KB Output is correct
71 Correct 1282 ms 141656 KB Output is correct
72 Correct 1218 ms 141748 KB Output is correct
73 Correct 1101 ms 138200 KB Output is correct
74 Correct 1092 ms 139024 KB Output is correct
75 Correct 1098 ms 138108 KB Output is correct
76 Correct 1081 ms 138036 KB Output is correct
77 Correct 1078 ms 138420 KB Output is correct
78 Correct 1378 ms 135456 KB Output is correct
79 Correct 782 ms 89768 KB Output is correct
80 Correct 1368 ms 132712 KB Output is correct