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Submission #891368

# Submission time Handle Problem Language Result Execution time Memory
891368 2023-12-22T19:54:47 Z stefanneagu RMQ (NOI17_rmq) C++17
46.1 / 100
 97 ms 14148 KB 
#include <bits/stdc++.h>

using namespace std;

const int nmax = 1e5 + 1;

struct str {
  int a, b, val;
  const bool operator < (str ult) const {
    return val < ult.val;
  }
} v[nmax];

int aint[4 * nmax], lz[4 * nmax], rmq[nmax][20], used[nmax], viz[nmax];

int rmquery(int a, int b) {
  int lg = (int) log2(b - a + 1);
  return min(rmq[a][lg], rmq[b - (1 << lg) + 1][lg]);
}

void lazy(int nod, int st, int dr) {
  aint[nod] = lz[nod];
  if(st != dr) {
    lz[nod << 1] = lz[nod];
    lz[nod << 1|1] = lz[nod];
  }
  lz[nod] = 0;
}

void update(int nod, int st, int dr, int l, int r, int val) {
  if(lz[nod]) {
    lazy(nod, st, dr);
  }
  if(st > r || dr < l) {
    return;
  }
  if(l <= st && dr <= r) {
    lz[nod] = val;
    lazy(nod, st, dr);
    return;
  }
  int mid = (st + dr) / 2;
  update(nod << 1, st, mid, l, r, val);
  update(nod << 1|1, mid + 1, dr, l, r, val);
}

int query(int nod, int st, int dr, int poz) {
  if(lz[nod]) {
    lazy(nod, st, dr);
  }
  if(st == dr) {
    return aint[nod];
  }
  int mid = (st + dr) / 2;
  if(poz <= mid) {
    return query(nod << 1, st, mid, poz);
  } else {
    return query(nod << 1|1, mid + 1, dr, poz);
  }
}

int check(int n, int q, vector<int> &nou) {
  vector<vector<int>> r(n + 1, vector<int>((int) log2(n) + 4));
  for(int i = 1; i <= n; i ++) {
    r[i][0] = nou[i];
  }
  for(int j = 1; (1 << j) <= n; j ++) {
    for(int i = 1; i + (1 << j) - 1 <= n; i ++) {
      r[i][j] = min(r[i][j - 1], r[i + (1 << (j - 1))][j - 1]);
    }
  }
  for(int i = 1; i <= q; i ++) {
    int dist = (v[i].b - v[i].a + 1);
    dist = (int) log2(dist);
    int curr = min(r[v[i].a][dist], r[v[i].b - (1 << dist) + 1][dist]);
    if(curr != v[i].val) {
      return 0;
    }
  }
  return 1;
}

void bulan_pe_subtask(int n, int q, vector<int> &nou) {
  for(int i = 1; i <= n; i ++) {
    used[nou[i]] ++;
  }
  vector<int> un;
  for(int i = 0; i < n; i ++) {
    if(!used[i]) {
      un.push_back(i);
    }
  }
  for(auto nr : un) {
    bool ok = 0;
    for(int i = 1; i <= n; i ++) {
      if(!viz[i]) {
        int ult = nou[i];
        nou[i] = nr;
        if(check(n, q, nou)) {
          viz[i] = 1;
          ok = 1;
          break;
        } else {
          nou[i] = ult;
        }
      }
    }
    if(!ok) {
      for(int i = 1; i <= n; i ++) {
        cout << "-1 ";
      }
      return;
    }
  }
  for(int i = 1; i <= n; i ++) {
    cout << nou[i] << " ";
  }
}

int main() {
  int n, q;
  cin >> n >> q;
  for(int i = 1; i <= q; i ++) {
    int a, b, val;
    cin >> a >> b >> val;
    a ++;
    b ++;
    v[i].a = a, v[i].b = b, v[i].val = val;
  }
  sort(v + 1, v + q + 1);
  for(int i = 1; i <= q; i ++) {
    update(1, 1, n, v[i].a, v[i].b, v[i].val);
  }
  vector<int> nou(n + 1);
  for(int i = 1; i <= n; i ++) {
    nou[i] = query(1, 1, n, i);
    rmq[i][0] = nou[i];
  }
  for(int j = 1; (1 << j) <= n; j ++) {
    for(int i = 1; i + (1 << j) - 1 <= n; i ++) {
      rmq[i][j] = min(rmq[i][j - 1], rmq[i + (1 << (j - 1))][j - 1]);
    }
  }
  if(n <= 25) {
    bulan_pe_subtask(n, q, nou);
    return 0;
  }
  for(int i = 1; i <= q; i ++) {
    if(rmquery(v[i].a, v[i].b) != v[i].val) {
      for(int j = 1; j <= n; j ++) {
        cout << "-1 ";
      }
      return 0;
    }
  }
  for(int i = 1; i <= n; i ++) {
    cout << nou[i] << " ";
  }
  return 0;
}

Subtask #1
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4440 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct

Subtask #2
13.2 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4440 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Partially correct 1 ms 4444 KB Output is partially correct
13 Partially correct 2 ms 4444 KB Output is partially correct
14 Partially correct 1 ms 4444 KB Output is partially correct
15 Partially correct 1 ms 4444 KB Output is partially correct
16 Partially correct 1 ms 4444 KB Output is partially correct
17 Partially correct 2 ms 4444 KB Output is partially correct
18 Partially correct 1 ms 4444 KB Output is partially correct
19 Partially correct 1 ms 4444 KB Output is partially correct
20 Partially correct 1 ms 4444 KB Output is partially correct
21 Correct 1 ms 4444 KB Output is correct
22 Correct 2 ms 4660 KB Output is correct
23 Correct 1 ms 4444 KB Output is correct
24 Correct 2 ms 4444 KB Output is correct
25 Correct 1 ms 4444 KB Output is correct
26 Correct 1 ms 4444 KB Output is correct

Subtask #3
9.9 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4440 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Partially correct 1 ms 4444 KB Output is partially correct
13 Partially correct 2 ms 4444 KB Output is partially correct
14 Partially correct 1 ms 4444 KB Output is partially correct
15 Partially correct 1 ms 4444 KB Output is partially correct
16 Partially correct 1 ms 4444 KB Output is partially correct
17 Partially correct 2 ms 4444 KB Output is partially correct
18 Partially correct 1 ms 4444 KB Output is partially correct
19 Partially correct 1 ms 4444 KB Output is partially correct
20 Partially correct 1 ms 4444 KB Output is partially correct
21 Correct 1 ms 4444 KB Output is correct
22 Correct 2 ms 4660 KB Output is correct
23 Correct 1 ms 4444 KB Output is correct
24 Correct 2 ms 4444 KB Output is correct
25 Correct 1 ms 4444 KB Output is correct
26 Correct 1 ms 4444 KB Output is correct
27 Partially correct 97 ms 12184 KB Output is partially correct
28 Partially correct 82 ms 13692 KB Output is partially correct
29 Partially correct 67 ms 13388 KB Output is partially correct
30 Partially correct 92 ms 14148 KB Output is partially correct
31 Partially correct 74 ms 10756 KB Output is partially correct
32 Partially correct 89 ms 11600 KB Output is partially correct
33 Partially correct 12 ms 12380 KB Output is partially correct
34 Partially correct 9 ms 9820 KB Output is partially correct
35 Partially correct 21 ms 12624 KB Output is partially correct
36 Correct 62 ms 13392 KB Output is correct
37 Correct 88 ms 13908 KB Output is correct
38 Correct 8 ms 10332 KB Output is correct
39 Correct 72 ms 13732 KB Output is correct
40 Correct 1 ms 4696 KB Output is correct
41 Correct 1 ms 4444 KB Output is correct