Shuchi invited 49 of her friends home to celebrate her birthday. By midnight, they were all tired and decided to play a game. Each player was assigned a unique integer from 1 to 50. In the first game, player 1 won. In the second, player 2 won. In the third, player 3 won. The pattern continued till in the 50th game, player 50 won.
Now the rules of the game were such that, if player 1 won a game, he would have to forfeit some money to the other 49 players. The amount of he would give would be equal to the amount that the other person had in his pocket at that time.
For example, if player 1 won, he would give the other 49 players some money. He would give player 2 the amount of money that player 2 had in his pocket. Player 3 would be given the amount of money that player 3 had in his pocket. The rest would be paid accordingly.
Finally, after the player 50 won, the amount of money left with every player is the same and is "X".
Calculate in terms of"X" the value of money which 13th player had in beginning.
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