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Median of a List

Find the middle value of a list after sorting.

Problem

Sort the values into ascending order. For an odd number of values, take the middle one. For an even number, take the arithmetic mean of the two middle values. This challenge accepts only nonempty lists.

Implement median_number(numbers).

Input

numbers: The nonempty list of values.

Output

Return the median as a number; it may end in .5.

Constraints

1 ≤ list length ≤ 100,000. Each value is an integer between −1,000,000,000 and 1,000,000,000.

Examples

Example 1
Input:
numbers = [2, 8, 4, 10]

Expected output:
expected = 6.0
Input:
std::vector<long long> numbers = {2, 8, 4, 10};

Expected output:
double expected = 6.0;
Input:
long[] numbers = new long[] {2, 8, 4, 10};

Expected output:
double expected = 6.0;

Explanation

Sorted order is 2, 4, 8, 10. The middle pair averages to (4 + 8) / 2 = 6.

Example 2
Input:
numbers = [9, 1, 4]

Expected output:
expected = 4.0
Input:
std::vector<long long> numbers = {9, 1, 4};

Expected output:
double expected = 4.0;
Input:
long[] numbers = new long[] {9, 1, 4};

Expected output:
double expected = 4.0;

Explanation

Sorted order is 1, 4, 9, whose middle value is 4.

References

This challenge is adapted for CodeUtility. Follow the statement and constraints above.

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