Problems > Static Range Minimum

Static Range Minimum

Difficulty: 1600 4000 ms 128 MB

sparse-table

Each query gives L and R and asks for the minimum of aL..R. There are many queries, so per-query scanning is too slow at the limits.

Input: the first line has N and Q; the second line has N integers; each of the next Q lines has L and R.

Output: Q lines — the range minimum per query.

Constraints:

  • 1 ≤ N, Q ≤ 105
  • −109 ≤ ai ≤ 109

Sample Tests

Input 1
5 2
5 2 4 1 3
1 3
3 5
Output 1
2
1
Input 2
1 1
-5
1 1
Output 2
-5

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