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Implement a function 'rollsToRepeat' that simulates a dice game in which a pair of dice are rolled repeatedly until some total on the dice occurs

Implement a function 'rollsToRepeat' that simulates a dice game in which a pair of dice are rolled repeatedly until some total on the dice occurs the specified number of times. Details:

  • accepts one integer argument, 'n' , the number of repeats required before the game ends
  • rolls a pair of dice repeatedly until some dice total has repeated n times
  • returns the total number of times the pair of dice was rolled

For example, using a random seed of 85 , the sequence of rolled pairs will be : (2, 6), (5, 1), (3, 2), (2, 4), (3, 5), (2, 6), (4, 5), (5, 2), (6, 5), (5, 5), ... If you run rollsToRepeat with

  • n=1 , only 1 repeat is required. On the first roll, the total 8=2+6 is repeated once (as would any first roll). So the simulation stops and the function returns 1. This always happens when n=1 .
  • n=2 , some total must repeat twice. This first occurs on the 4th roll, when the total of 6 occurs for the 2nd time.
  • n=3 , some total must repeat three times. This first occurs on the 6th roll, when the total 8 occurs for the third time.

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>>> import random

>>> random.seed(85)

>>> rollsToRepeat(1)

1

>>> random.seed(85)

>>> rollsToRepeat(2)

4

>>> random.seed(85)

>>> rollsToRepeat(3)

6

>>> [ (i,random.seed(i),rollsToRepeat(i+1)) for i in range(10)]

[(0, None, 1), (1, None, 7), (2, None, 8), (3, None, 8), (4, None, 19), (5, None, 29), (6, None, 31), (7, None, 30), (8, None, 36), (9, None, 39)]

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