59. Sparse Table

Hard

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Example 1:

Input: nums = [7, 2, 3, 0, 5, 10, 3, 12, 18], L = 2, R = 5

Output: 0

Explanation: The minimum value in the range [2, 5] (inclusive) of the array [7, 2, 3, 0, 5, 10, 3, 12, 18] is 0.

Example 2:

Input: nums = [4, 5, 6, 7, 8, 9], L = 0, R = 5

Output: 4

Explanation: The minimum value in the range [0, 5] (inclusive) of the array [4, 5, 6, 7, 8, 9] is 4.

Example 3:

Input: nums = [1, 2, 3, 4, 5], L = 0, R = 0

Output: 1

Explanation: The minimum value in the range [0, 0] of the array [1, 2, 3, 4, 5] is 1.

Example 4:

Input: nums = [5, 4, 3, 2, 1], L = 2, R = 4

Output: 1

Explanation: The minimum value in the range [2, 4] of the array [5, 4, 3, 2, 1] is 1.

Example 5:

Input: nums = [10, 20, 30, 40, 50], L = 1, R = 3

Output: 20

Explanation: The minimum value in the range [1, 3] of the array [10, 20, 30, 40, 50] is 20.

Constraints:

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Time Complexity

O(1)

Space Complexity

O(n log n)