Background

Description

Return the sum of two 6-sided dice rolls, each in the range 1..6. However, if noDoubles is true, if the two dice show the same value, increment one die to the next value, wrapping around to 1 if its value was 6.

Format

Input

Output

Samples

2 3 true

5

3 3 true

7

3 3 false

6

Limitation

1s, 1024KiB for each test case.