Jack and Ken play a game of picking up coins from a pile of $2015$ coins. They take turn to pick up coins with Jack starting first. The rules of the game require each person to pick up only $1$, $2$, $3$, $4$, $5$, $6$, $7$, $8$, $9$, $10$ or $11$ coins at each turn and the person to pick up the last coin is the loser. How many coins should Jack pick up at his first turn to ensure that he will be the winner? 
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