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).

Samples

6
XXXS XS
XXXL XL
XL M
XXL XXL
XXXXXS M
L M

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>
>
=
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