In a magic show, after giving Leon, one of the audience, a calculator, the magician asks Leon to write his birthday and calculate according to the following steps:  ($1$) Leon inputs his month of birth.  ($2$) Multiply it by $$4$$.  ($3$) Add $$6$$ to the results.  ($4$) Multiply it by $$5$$.  ($5$) Subtract $$20$$ from the results.  ($6$) Multiply it by $$5$$.  ($7$) Add the number to his day of birth.  ($8$) Subtract $$50$$ from the results.  In the end, Leon gets $1126$. Do you know his birthday? 
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