CF602A Two Bases

After seeing the "ALL YOUR BASE ARE BELONG TO US" meme for the first time, numbers $ X $ and $ Y $ realised that they have different bases, which complicated their relations. You're given a number $ X $ represented in base $ b_{x} $ and a number $ Y $ represented in base $ b_{y} $ . Compare those two numbers.

The first line of the input contains two space-separated integers $ n $ and $ b_{x} $ ( $ 1

Output a single character (quotes for clarity): - '' if $ X>Y $ - '=' if $ X=Y $

In the first sample, $ X=101111_{2}=47_{10}=Y $ . In the second sample, $ X=102_{3}=21_{5} $ and $ Y=24_{5}=112_{3} $ , thus $ X<Y $ . In the third sample,  and $ Y=4803150_{9} $ . We may notice that $ X $ starts with much larger digits and $ b_{x} $ is much larger than $ b_{y} $ , so $ X $ is clearly larger than $ Y $ .