Codeforces Round 702 (Div. 3) |
---|

Finished |

Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

dfs and similar

divide and conquer

implementation

*1200

No tag edit access

The problem statement has recently been changed. View the changes.

×
D. Permutation Transformation

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputA permutation — is a sequence of length $$$n$$$ integers from $$$1$$$ to $$$n$$$, in which all the numbers occur exactly once. For example, $$$[1]$$$, $$$[3, 5, 2, 1, 4]$$$, $$$[1, 3, 2]$$$ — permutations, and $$$[2, 3, 2]$$$, $$$[4, 3, 1]$$$, $$$[0]$$$ — no.

Polycarp was recently gifted a permutation $$$a[1 \dots n]$$$ of length $$$n$$$. Polycarp likes trees more than permutations, so he wants to transform permutation $$$a$$$ into a rooted binary tree. He transforms an array of different integers into a tree as follows:

- the maximum element of the array becomes the root of the tree;
- all elements to the left of the maximum — form a left subtree (which is built according to the same rules but applied to the left part of the array), but if there are no elements to the left of the maximum, then the root has no left child;
- all elements to the right of the maximum — form a right subtree (which is built according to the same rules but applied to the right side of the array), but if there are no elements to the right of the maximum, then the root has no right child.

For example, if he builds a tree by permutation $$$a=[3, 5, 2, 1, 4]$$$, then the root will be the element $$$a_2=5$$$, and the left subtree will be the tree that will be built for the subarray $$$a[1 \dots 1] = [3]$$$, and the right one — for the subarray $$$a[3 \dots 5] = [2, 1, 4]$$$. As a result, the following tree will be built:

Another example: let the permutation be $$$a=[1, 3, 2, 7, 5, 6, 4]$$$. In this case, the tree looks like this:

Let us denote by $$$d_v$$$ the depth of the vertex $$$a_v$$$, that is, the number of edges on the path from the root to the vertex numbered $$$a_v$$$. Note that the root depth is zero. Given the permutation $$$a$$$, for each vertex, find the value of $$$d_v$$$.

Input

The first line contains one integer $$$t$$$ ($$$1 \le t \le 100$$$) — the number of test cases. Then $$$t$$$ test cases follow.

The first line of each test case contains an integer $$$n$$$ ($$$1 \le n \le 100$$$) — the length of the permutation.

This is followed by $$$n$$$ numbers $$$a_1, a_2, \ldots, a_n$$$ — permutation $$$a$$$.

Output

For each test case, output $$$n$$$ values — $$$d_1, d_2, \ldots, d_n$$$.

Example

Input

3 5 3 5 2 1 4 1 1 4 4 3 1 2

Output

1 0 2 3 1 0 0 1 3 2

Codeforces (c) Copyright 2010-2024 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Apr/15/2024 12:34:51 (h2).

Desktop version, switch to mobile version.

Supported by

User lists

Name |
---|