Hi there!

Google invites you to complete a coding exercise.

• 90 Minutes
• 2 Questions

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At a glance:

• This timed coding exercise will give us a sense of your skills.
• The timer begins counting down as soon as you start the exercise.
• Practice first to familiarize yourself with the code editor and exercise format.

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Question One

Problem:

Given an array A of length N, return an integer representing the minimum number of moves needed to transform a zero-filled array into A.

Examples:

1. Given A = [2, 1, 3], the function should return 4.
   For example, the following sequence of moves leads to the solution:
   [0, 0, 0] → [1, 1, 1] → [2, 1, 1] → [2, 1, 2] → [2, 1, 3].
2. Given A = [2, 2, 0, 0, 1], the function should return 3.
   The following sequence of moves leads to the solution:
   [0, 0, 0, 0, 0] → [1, 1, 0, 0, 0] → [2, 2, 0, 0, 0] → [2, 2, 0, 0, 1].
3. Given A = [5, 4, 2, 4, 1], the function should return 7.
   One possible optimal sequence of moves is:
   [0, 0, 0, 0, 0] → [1, 1, 1, 1, 1] → [2, 2, 2, 2, 1] → [3, 3, 2, 2, 1] → [4, 4, 2, 2, 1] → [5, 4, 2, 2, 1] → [5, 4, 2, 3, 1] → [5, 4, 2, 4, 1].

Write an efficient algorithm for the following assumptions:

• N is an integer within the range [1..100,000].
• Each element of array A is an integer within the range [0..1,000,000,000].
• We guarantee that the answer will not exceed 1,000,000,000.

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Question Two

Problem:

There is an array, named digits, consisting of N digits. Choose at most three digits (not necessarily adjacent) and merge them into a new integer without changing the order of the digits. What is the biggest number that can be obtained this way?

Write a function:
def solution(digits)

That, given an array of N digits, returns the biggest number that can be built.

Examples:

1. Given digits = [7, 2, 3, 3, 4, 9], the function should return 749.
2. Given digits = [0, 0, 5, 7], the function should return 57.

Assume that:

• N is an integer within the range [3..50].
• Each element of array, named digits, is an integer within the range [0..9].

In your solution, focus on correctness. The performance of your solution will not be the focus of the assessment.

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