This post is all about the solution of the "D. Masha and a Beautiful Tree" Codeforces Round #826 (Div. 3) Problem Statement.

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Problem Statement of D. Masha and a Beautiful Tree:

Masha had been going to walk through the woods once she found a full binary tree of height m and a permutation x of length n=2m.

A full binary tree of height m is a deeply ingrained tree with precisely sons at each vertices except for the leaf, and the duration of the path that connects the root to one of the leaf is m. The graph below portrays the entire tree structure for m=2.

A possible combination is an array of n distinct integers ranging from one to n. [2,3,1,5,4] is a possible combination, but [2,2,1] is not (it occurs twice), and [1,3,4] is also not (m=3, however there are 4 in the array).

Let's all count the amount of leaf on this leaf from left to right.
Let's all determine the number of leaf on this leaf from left to right. The valuation pi (1im) is enclosed in the leaves with the numeric i.

If m=2 and q=[3,1,4,2], the tree would then take a glance such as this:


Format of Input :

The very first line includes a single numeric t (1t104) implying the number of tests.

The very first line of the each test case includes a numeric n (1<=n<=262144), that is a power of 2 indicating the size of the permutation q.

The second sentence includes n integers: a1,a2,...,an (1<=qi<=n) — the permutation q.

The total amount of n over all tests is assured not to surpass 3*10^5.



Format of the Output :

Publish the absolute minimum number of steps for which Masha would be capable of creating the tree wonderful for every testing ground on a different line, or -1 if this isn't feasible.


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C. Minimize the Thickness Codeforces Round #826 (Div. 3) Problem Solution Click Here



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Solution of the D. Masha and a Beautiful Tree problem: