Maximum Product of First and Last Elements of a Subsequence

You are given an integer array nums and an integer m.

Return the maximum product of the first and last elements of any subsequence of nums of size m.

Example 1
Inputnums = [-1,-9,2,3,-2,-3,1], m = 1
Output81
The subsequence [-9] has the largest product of the first and last elements: -9 * -9 = 81.
Example 2
Inputnums = [1,3,-5,5,6,-4], m = 3
Output20
The subsequence [-5, 6, -4] has the largest product of the first and last elements.

Constraints

  • 1 <= nums.length <= 10^5
  • -10^5 <= nums[i] <= 10^5
  • 1 <= m <= nums.length

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