Amazon Online Assessment (OA) - Roll Dice

Given N dice, each with faces ranging from 1 to 6, return the minimum number of rotations necessary for all dice to show the same face.

Note that in one rotation, you can rotate a dice to an adjacent face.

For example, you can rotate a dice showing 1 to show 2, 3, 4, or 5. To make it show 6, you need two rotations.

Input

The input consists of the following arguments:

N: a list of integers representing the dice, each with faces ranging from 1 to 6

Output

Return the minimum number of rotations necessary for all dice to show the same face

Examples

Example 1:

Input:

N = [6, 5, 4]

Output: 2

Example 2:

Input:

N = [6, 6, 1]

Output: 2

Example 3:

Input:

N = [6, 1, 5, 4]

Output: 3

Try It Yourself

1from typing import List
2
3def number_of_rotations(dice: List[int]) -> int:
4    return min(
5        sum(0 if d == v else 1 if d + v != 7 else 2 for d in dice)
6        for v in range(1, 7)
7    )
8
9if __name__ == '__main__':
10    dice = [int(x) for x in input().split()]
11    res = number_of_rotations(dice)
12    print(res)
13