Print All Positions of x

Source: Phước Hưng OJ

Version: Phuoc Hung OJ Extended

Problem Statement

Given an integer array $A=(a_0,a_1,\ldots,a_{n-1})$ and an integer $x$, list all $0$-based indices $i$ such that $a_i=x$, in increasing order.

If there is no match, print -1.

Input

• The first line contains integers $n$ and $x$.
• The second line contains $n$ integers $a_0,a_1,\ldots,a_{n-1}$.

Output

• If at least one match exists, print all matching indices on one line, separated by spaces.
• Otherwise print -1.

Subtasks

Subtask 1 (100 points): $1\le n\le10^5$; $-10^9\le a_i,x\le10^9$.

Examples

Input

8 4
4 1 4 2 4 4 7 0

Output

0 2 4 5

Explanation

Value $4$ occurs at indices $0,2,4,5$, so all four indices are printed from left to right.