Make an Array Nondecreasing

One move increases one array value by 1. Make the array nondecreasing: each value must be greater than or equal to the one immediately before it. You may not decrease values or reorder them.

Implement increasing_array(numbers).

Input

numbers: The values in their original order.

Output

Return the minimum total number of unit increments.

Contraintes

1 ≤ length ≤ 200,000. Each value is between 1 and 1,000,000,000. Use a signed 64-bit result.

Exemples

Entrée :
numbers = [4, 1, 3]

Sortie attendue :
expected = 4

Entrée :
std::vector<long long> numbers = {4, 1, 3};

Sortie attendue :
long long expected = 4;

Entrée :
long[] numbers = new long[] {4, 1, 3};

Sortie attendue :
long expected = 4;

Entrée :
numbers = [1, 2, 2, 5]

Sortie attendue :
expected = 0

Entrée :
std::vector<long long> numbers = {1, 2, 2, 5};

Sortie attendue :
long long expected = 0;

Entrée :
long[] numbers = new long[] {1, 2, 2, 5};

Sortie attendue :
long expected = 0;

Références

Ce défi a été adapté pour CodeUtility. Suivez l'énoncé et les contraintes ci-dessus.

• Increasing Array — 1094