Consider integer numbers from 0
to n - 1
written down along the circle in such a way that the distance between any two neighbouring numbers is equal (note that 0
and n - 1
are neighbouring, too).
Given n
and firstNumber
, find the number which is written in the radially opposite position to firstNumber
.
Example
For n = 10
and firstNumber = 2
, the output should be
circleOfNumbers(n, firstNumber) = 7
.
Input/Output
-
[execution time limit] 4 seconds (py3)
-
[input] integer n
A positive even integer.
Guaranteed constraints: 4 ≤ n ≤ 20.
- [input] integer firstNumber
Guaranteed constraints:
0 ≤ firstNumber ≤ n - 1
.
[output] integer
def circleOfNumbers(n, firstNumber):
return firstNumber+n//2 if firstNumber+n//2 < n else firstNumber+n//2 - n
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