You are given:
- An integer non-decreasing array A of n integers.
- q queries, each is an integer x, find the biggest i that Ai≤x.
### Input
- The first line contains 2 integer n,q.
- The second line contains n space-separated integers Ai.
- The next q lines, each contains an single integer x, a query.
### Output
- Print q lines, ith line is the answer to query i. Print -1 no position can be found.
### Constraints
- 1≤n,q≤105.
- 1≤Ai≤109.
### Example
Input:
5312339153
Output:
144