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Median of Two Sorted Arrays

Find the median of two sorted lists combined.

Both lists are sorted in ascending order. Find the median of all their numbers together; for an even count it is the average of the two middle values. An O(log(m + n)) partition search is possible, but any correct method within the limits is accepted.

Implement median_of_two(first, second).

Input

first: A sorted list. second: A sorted list.

Output

Return the median.

Restricciones

0 ≤ lengths ≤ 100,000; the combined length is at least 1

Ejemplos

Ejemplo 1
Entrada:
first = [1, 3]
second = [2]

Salida esperada:
expected = 2.0
Entrada:
std::vector<long long> first = {1, 3};
std::vector<long long> second = {2};

Salida esperada:
double expected = 2.0;
Entrada:
long[] first = new long[] {1, 3};
long[] second = new long[] {2};

Salida esperada:
double expected = 2.0;

Explicación

Combined: [1, 2, 3]; the middle value is 2.

Ejemplo 2
Entrada:
first = [1, 2]
second = [3, 4]

Salida esperada:
expected = 2.5
Entrada:
std::vector<long long> first = {1, 2};
std::vector<long long> second = {3, 4};

Salida esperada:
double expected = 2.5;
Entrada:
long[] first = new long[] {1, 2};
long[] second = new long[] {3, 4};

Salida esperada:
double expected = 2.5;

Explicación

Combined: [1, 2, 3, 4]; (2 + 3) / 2 = 2.5.

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