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# Program to find starting index of the child who receives last balloon in Python?

Suppose we have n children standing in a circle, and they are waiting to get a balloon. The distribution is carried out starting with the kth child (first at index 0), and giving them a balloon they left the circle. Now every kth child gets a balloon going clockwise until there is only one child left that gets a balloon. So if we have n and k, we have to find the starting index of the child that receives the last balloon.

So, if the input is like n = 3 k = 2, then the output will be 1, in the first round, child 2 gets a balloon, and leave so the circle will be [0, 1]. In second round, child 0 gets a balloon, circle will be [1].

To solve this, we will follow these steps:

arr := a new list from range 0 to n

init := 0

while size of arr > 1, do

remove := (init + k) mod size of arr

delete arr[remove]

init := remove

return arr[0]

Let us see the following implementation to get better understanding:

## Example

class Solution: def solve(self, n, k): arr = list(range(0, n)) init = 0 while len(arr) > 1: remove = (init + k) % len(arr) del arr[remove] init = remove return arr[0] ob = Solution() n = 3 k = 2 print(ob.solve(n, k))

## Input

3,2

## Output

1

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