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Average Permutation CodeChef Solution

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Average Permutation CodeChef Solution

Average Permutation CodeChef Solution

Problem

You are given an integer N.

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Find a permutation P = [P_1, P_2, \ldots, P_N] of the integers \{1, 2, \ldots, N\} such that sum of averages of all consecutive triplets is minimized, i.e.

\sum_{i=1}^{N-2} \frac{P_i + P_{i+1} + P_{i+2}}{3}

is minimized.

If multiple permutations are possible, print any of them.

Input Format

  • The first line of input will contain a single integer¬†T, denoting the number of test cases.
  • The first and only line of each test case contains an integer N, the size of the permutation.
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Output Format

For each test case, output on a new line a permutation which satisfies the above conditions.

Constraints

  • 1 \leq T \leq 1000
  • 3 \leq N \leq 10^5
  • The sum of¬†N¬†over all test cases won’t exceed¬†3\cdot 10^5.

SOLUTION

Average Permutation CodeChef Solution

SOLUTION

Average Permutation CodeChef Solution

SOLUTION

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