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  1. #include <bits/stdc++.h>
  2. using namespace std;
  3.  
  4. const int N = 1e5 + 7;
  5.  
  6. // How to calculate subarray max for every subarray of size K in O(N)
  7. // A = [5, 7, 3, 4, 2], K = 3
  8. // ans = [7, 7, 4]
  9.  
  10.  
  11. // HW 1 -> To try solve the same problem using SETS/MAPS/Priority_Queue in O(NlogN)
  12. // HW 2 -> To try solve the same problem in O(N) using prefix/suffix max arrays + partitioning idea
  13. // Alternate to DQ for the same problem meant to be done in O(N)
  14. int A[N];
  15.  
  16.  
  17. deque<pair<int, int> > DQ;
  18.  
  19. int cost = 0;
  20.  
  21. void push(int x) {
  22.   while(!DQ.empty()) {
  23.     if(DQ.back().first < A[x]) {
  24.       DQ.pop_back();
  25.       cost++;
  26.     } else {
  27.       cost++;
  28.       break;
  29.     }
  30.   }
  31.   DQ.push_back({A[x], x});
  32.   cost++;
  33. }
  34.  
  35. // Conjecture -> cost <= 3n
  36. // Complexity -> O(N)
  37.  
  38. int query(int l, int r) {
  39.   while(!DQ.empty()) {
  40.     if(DQ.front().second < l) {
  41.       DQ.pop_front();
  42.       cost++;
  43.     } else {
  44.       cost++;
  45.       break;
  46.     }
  47.   }
  48.   return DQ.front().first;
  49.   // Invariants: DQ is descending
  50. }
  51.  
  52. int main() {
  53.   int n, k;
  54.   cin>>n>>k;
  55.   for(int i = 1; i <= n; i++) cin>>A[i];
  56.  
  57.   for(int i = 1; i <= k; i++) {
  58.     push(i);
  59.   }
  60.   //l = 1, r = k
  61.  
  62.   int l = 1, r = k;
  63.   cout<<query(l, r)<<" ";
  64.   for(r = k + 1; r <= n; r++) {
  65.     l++;
  66.     push(r);
  67.     cout<<query(l, r)<<" ";
  68.   }
  69.   cout<<endl;
  70.   cout<<cost<<endl; // cost <= 2*n
  71. }
  72.  
Runtime error #stdin #stdout 3.32s 4404KB
comments (?)
stdin
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Standard input is empty
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