Question

Given an array of positive integers a, your task is to calculate the sum of every possible a[i] ∘ a[j], where a[i] ∘ a[j] is the concatenation of the string representations of a[i] and a[j] respectively. Example For a = [10, 2], the output should be solution(a) = 1344. a[0] ∘ a[0] = 10 ∘ 10 = 1010, a[0] ∘ a[1] = 10 ∘ 2 = 102, a[1] ∘ a[0] = 2 ∘ 10 = 210, a[1]

Answer 1

The student's question relates to summing up all possible concatenations of string representations of array elements, which involves converting strings back to integers and then adding them up. The student's question primarily concerns string manipulation and basic arithmetic, not directly related to exponential operations.

Step-by-step explanation:

The student's question requires understanding how to calculate the sum of all possible concatenations of the string representations of integers in an array. In the example given, for an array a = [10, 2], we see the concatenations as 1010, 102, and 210. To solve this, we must consider each array element and concatenate it with every other, including itself, and then convert the resulting strings back to integers to be summed. The process involves string manipulation and basic arithmetic operations.

When dealing with exponential operations, remember to multiply the digit terms in the usual way and add the exponents when they have the same base. However, this concept is not directly applicable to the problem at hand, which deals with concatenation rather than multiplication of exponents. Still, understanding exponents can be helpful for more complex mathematics, as exemplified by calculating a value of 'a' in a right triangle with sides 'b' and 'c', where one must undo the squaring operation by taking the square root.