Author: [Author Name]<\/p>\n
Date: [Date]<\/p>\n<\/header>\n You are required to return a new array that represents the differences of each element from an input array consisting of integers. The i-th element of the new array corresponds to the difference between the i-th element and the next element of the input array. The last element requires special handling since there is no subsequent element.<\/p>\n To solve this problem, the following steps are followed:<\/p>\n The code above works in the following way:<\/p>\n The time complexity of this algorithm is O(n) because it traverses the array once. The space complexity is also O(n) as it uses extra space to store the new array.<\/p>\n Variations of this basic problem can be proposed as follows:<\/p>\nProblem Description<\/h2>\n
Input<\/h3>\n
\n
Output<\/h3>\n
\n
Example<\/h2>\n
\n
\n Input: [3, 7, 1, 8, -4]\n Output: [4, -6, 7, -12]\n <\/code>\n <\/pre>\nSolution Process<\/h2>\n
\n
Implementation Code<\/h2>\n
\n
\n function calculateDifferences(nums) {\n if (nums.length < 2) {\n throw new Error(\"The input array must contain at least two elements.\");\n }\n const diff = [];\n for (let i = 0; i < nums.length - 1; i++) {\n diff.push(nums[i + 1] - nums[i]);\n }\n return diff;\n }\n\n \/\/ Example execution\n const input = [3, 7, 1, 8, -4];\n const output = calculateDifferences(input);\n console.log(output); \/\/ [4, -6, 7, -12]\n <\/code>\n <\/pre>\nCode Explanation<\/h2>\n
\n
calculateDifferences<\/code> takes an integer array nums<\/code> as a parameter.<\/li>\ndiff<\/code> is declared to prepare for storing the results.<\/li>\ndiff<\/code> array.<\/li>\ndiff<\/code> array is returned.<\/li>\n<\/ul>\nComplexity Analysis<\/h2>\n
Additional Problems<\/h2>\n