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Sunday 3 July 2022

[Solution] Permutation And Median CodeChef Solution | Codechef Solution

Given a sequence A of N elements, Chef defines a function F(i) (1iN) as the median of the first i elements of the sequence.

Chef wants to get a permutation P of length N such that Pi=F(i)  1iN. Can you help Chef in achieving this?

Note that:

  • The median of a sequence is the middle element in the sorted order of the sequence. If N is even, choose the element at N2 position in the sorted order. If N is odd, choose the middle element.
  • permutation of length N is an array of N integers P=[P1,P2,,PN] such that every integer from 1 to N (inclusive) appears in it exactly once. For example, [2,5,4,1,3] is a permutation of
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  •  length 5 while [2,5,2,1,3] is not.

Input Format

  • First line will contain T, number of test cases. Then the test cases follows.
  • Each test case consists of a single line of input, an integer N, the length of the required

  •  permutation.

Output Format

For each test case, output in a new line, N space-separated integers, denoting a permutation satisfying the condition.

Constraints

  • 1T700
  • 1N105
  • Sum of N over all test cases does not exceed 

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