Two T-shirt sizes are given: \(a\) and \(b\). The T-shirt size is either a string M or a string consisting of several (possibly zero) characters X and one of the characters S or L.

For example, strings M, XXL, S, XXXXXXXS could be the size of some T-shirts. And the strings XM, LL, SX are not sizes.

The letter M stands for medium, S for small, L for large. The letter X refers to the degree of size (from eXtra). For example, XXL is extra-extra-large (bigger than XL, and smaller than XXXL).

You need to compare two given sizes of T-shirts \(a\) and \(b\).

The T-shirts are compared as follows:

any small size (no matter how many letters X) is smaller than the medium size and any large size;
any large size (regardless of the number of letters X) is larger than the medium size and any small size;
the more letters X before S, the smaller the size;
the more letters X in front of L, the larger the size.

For example:

XXXS < XS
XXXL > XL
XL > M
XXL = XXL
XXXXXS < M
XL > XXXS

Input

The first line of the input contains a single integer \(t\) (\(1 \le t \le 10^4\)) — the number of test cases.

Each test case consists of one line, in which \(a\) and \(b\) T-shirt sizes are written. The lengths of the strings corresponding to the T-shirt sizes do not exceed \(50\). It is guaranteed that all sizes are correct.

Output

For each test case, print on a separate line the result of comparing \(a\) and \(b\) T-shirt sizes (lines "<", ">" or "=" without quotes).