Given an array A consists of n zero. You are also given q queries, each of the form (l,r) which means to increment Al,Al+1,...,Ar by 1.
### Input
- The first line contains 2 integers n,q.
- Next q lines, each line contains 2 integers l,r.
### Output
- Print array A after q queries.
### Constraints
- 1≤n,q≤105.
- 1≤l,r≤n.
### Example
Input:
43132412
Output:
2321