Given n string S1,S2,...,Sn. Determine if there exists 2 distinct indices i,j that Si is a prefix of Sj.
### Input
- The first line contains an integer n.
- The next n lines, each line contains a string.
### Output
- Print the YES if there exists satisfied indices, NO otherwise.
### Constraints
- 1≤n≤105.
- 1≤|Si|≤20.
- Si contain only lowercase letters.
### Example
Input:
3reiμmarisamari
Output:
YES