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Identify the highest number achievable from the provided set of numbers.

Approach / Explanation

This question presents a collection of numbers and asks you to determine the largest number that can be created using these digits. Essentially, it involves arranging the provided digits to achieve the highest value, which typically entails positioning the largest digits at the beginning of the sequence. A helpful approach would be to sort the digits in descending order and then concatenate them. To effectively tackle this question, it's important to: Recognize that the task is to rearrange the digits to create a new numerical value, rather than simply identifying the largest number from the given set. Demonstrate your ability to manipulate numerical data and arrays. This often includes utilizing standard built-in libraries or functions, so it’s essential to prove your familiarity with these operations and your capability to apply them accurately.

Suggested Answer

Let's consider the set of numbers [1, 9, 3, 5, 7]. To create the largest possible number from these digits, we start by sorting them in descending order, resulting in [9, 7, 5, 3, 1]. Next, we combine these digits to generate the final result, which is 97531.

Alternative Answer

Consider a more complex set of numbers, such as [23, 3, 5, 91, 9]. This situation isn't as simple as sorting single digits because the '9' in '91' doesn't have the same significance as the '9' in the set. In these cases, more sophisticated algorithms can be employed to find a solution. However, a straightforward method would be to convert each number to a string, concatenate them in every possible arrangement, and determine which combination results in the largest number. For this example, arranging them as [91, 9, 5, 3, 23] and joining them yields 9195323, the largest number achievable from this dataset.

Question Details

Difficulty & Category

Medium

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