AlexNeagu11

RMQ

Mar 19th, 2022
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  1.  
  2. #include <bits/stdc++.h>
  3. using namespace std;
  4. ifstream in("rmq.in");
  5. ofstream out("rmq.out");
  6. const int nmax = 100006;
  7. const int LOG = 21;
  8. int dpMin[nmax][LOG], N, M, logaritm[nmax];
  9. void computeRMQ() {
  10. for(int i = 1; i < LOG; ++i) {
  11. for(int j = 1; j + (1 << i) - 1 <= N; ++j) {
  12. int pLen = 1 << (i - 1);
  13. dpMin[j][i] = min(dpMin[j][i - 1], dpMin[j + pLen][i - 1]);
  14. }
  15. }
  16. }
  17. int get(int L, int R) {
  18. int len = R - L + 1;
  19. int log = logaritm[len];
  20. return min(dpMin[L][log], dpMin[R - (1 << log) + 1][log]);
  21. }
  22.  
  23. int main() {
  24. logaritm[1] = 0;
  25. for(int i = 2; i < nmax; ++i) {
  26. logaritm[i] = logaritm[i / 2] + 1;
  27. }
  28. in >> N >> M;
  29. for(int i = 1; i <= N; ++i) {
  30. int x;
  31. in >> x;
  32. dpMin[i][0] = x;
  33. }
  34. computeRMQ();
  35. for(int i = 0; i < M; ++i) {
  36. int L, R;
  37. in >> L >> R;
  38. out << get(L, R) << '\n';
  39. }
  40. }
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