Square gauges: Total receipt
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Inputs
readings is a list of integers (numbers with no decimal part). It may be empty, and numbers may repeat unless task 1 says otherwise.
Your tasks
- Create a list
roots. For each number x inreadings, find the largest whole number r whose square is at most x. A square means a number multiplied by itself. For example, x = 10 gives 3, because 3 * 3 = 9 but 4 * 4 = 16. Use whole-number comparisons, not rounded decimal square roots. Keep the answers in input order. - Add up every number in
roots. Store the sum intotal. - Complete
squareGaugesTotalReceiptso it returnstotal. Return it, do not print it.
Example
If readings is [3, 8, 3, 8, 3], then roots is [1, 2, 1, 2, 1] and squareGaugesTotalReceipt returns 7.
Rules
- If
rootsis empty,totalis 0.
Test data
TEST DATA 1: readings is [7, 9, 0, 1, 7].
TEST DATA 2: readings is [4, 4, 4, 8].
Examples
Input: readings = [7,9,0,1,7] Output: 8
roots is [2, 3, 0, 1, 2]. Add its numbers to get 8. Return 8.
Input: readings = [4,4,4,8] Output: 8
roots is [2, 2, 2, 2]. Add its numbers to get 8. Return 8.
Input: readings = [] Output: 0
roots is []. Add its numbers to get 0. Return 0.
Input limits
- 0 <= input size <= 64.
- Answers fit in a signed 32-bit integer: -2,147,483,648 through 2,147,483,647.
- Input numbers are whole numbers from 0 through 1000000.
Efficiency goal
Big-O describes how the work or memory needed grows as the input gets larger.
Efficiency goal: time O(n log M); extra memory, including the helper list, O(n). n is the input length; M is the largest input number. These labels describe how work and memory grow with the input.
Practice focus
Build roots first, then return exactly what the tasks ask for. Follow the order, keep repeated values when the rule says so, and check the empty case.