Submission #891408

#TimeUsernameProblemLanguageResultExecution timeMemory
891408stefanneaguRMQ (NOI17_rmq)C++17
100 / 100
104 ms13480 KiB
#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], fp[nmax], lp[nmax], fin[nmax];
vector<vector<int>> place;

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 main() {
  int n, q;
  cin >> n >> q;
  for(int i = 0; i <= n; i ++) {
    fp[i] = 1, lp[i] = n;
  }
  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;
    fp[val] = max(fp[val], a);
    lp[val] = min(lp[val], b);
  }
  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);
  }
  place.resize(n + 1);
  for(int i = 1; i <= n; i ++) {
    int x = query(1, 1, n, i);
    place[x].push_back(i);
  }
  set<int> curr;
  for(int i = 0; i < n; i ++) {
    for(auto it : place[i]) {
      curr.insert(it);
    }
    auto poz = curr.lower_bound(fp[i]);
    if(poz == curr.end() || (*poz) > lp[i]) {
      for(int x = 1; x <= n; x ++) {
        cout << "-1 ";
      }
      return 0;
    }
    fin[(*poz)] = i;
    curr.erase(poz);
  }
  for(int i = 1; i <= n; i ++) {
    cout << fin[i] << " ";
  }
  return 0;
}
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