Given a string S=S1S2...Sn of length n that contains only digits.
There are q queries, each of the form (a,b,l). Determine which number is greater S[a...a+l] or S[b...b+l].
### Input
- The first line contains a string S.
- The second line contains an integer q.
- The next q lines, each line contains 3 integers a,b,l, a query.
### Output
- Print:
+ > if S[a...a+l] is greater than S[b...b+l].
+ < if S[a...a+l] is smaller than S[b...b+l].
+ = if S[a...a+l] is equal to S[b...b+l].
### Constraints
- 1≤|S|,q≤105.
- 1≤a,b≤|S|.
- a+l,b+l≤|S|.
### Example
Input:
01392913461125270
Output:
>\
<\
=