You are given a 0-indexed permutation of n integers nums.
A permutation is called semi-ordered if the first number equals 1 and the last number equals n. You can perform the below operation as many times as you want until you make nums a semi-ordered permutation:
nums, then swap them.Return the minimum number of operations to make nums a semi-ordered permutation.
A permutation is a sequence of integers from 1 to n of length n containing each number exactly once.
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Example 1:
\n\n\nInput: nums = [2,1,4,3]\nOutput: 2\nExplanation: We can make the permutation semi-ordered using these sequence of operations: \n1 - swap i = 0 and j = 1. The permutation becomes [1,2,4,3].\n2 - swap i = 2 and j = 3. The permutation becomes [1,2,3,4].\nIt can be proved that there is no sequence of less than two operations that make nums a semi-ordered permutation. \n\n\n
Example 2:
\n\n\nInput: nums = [2,4,1,3]\nOutput: 3\nExplanation: We can make the permutation semi-ordered using these sequence of operations:\n1 - swap i = 1 and j = 2. The permutation becomes [2,1,4,3].\n2 - swap i = 0 and j = 1. The permutation becomes [1,2,4,3].\n3 - swap i = 2 and j = 3. The permutation becomes [1,2,3,4].\nIt can be proved that there is no sequence of less than three operations that make nums a semi-ordered permutation.\n\n\n
Example 3:
\n\n\nInput: nums = [1,3,4,2,5]\nOutput: 0\nExplanation: The permutation is already a semi-ordered permutation.\n\n\n
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Constraints:
\n\n2 <= nums.length == n <= 501 <= nums[i] <= 50nums is a permutation.Compiled with clang 11 using the latest C++ 20 standard.
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