From 2bcf385557802057594271d6733e2be8c64832ba Mon Sep 17 00:00:00 2001 From: Gonzalo Diaz Date: Mon, 29 Jul 2024 17:22:29 -0400 Subject: [PATCH 1/2] =?UTF-8?q?[Hacker=20Rank]=20Interview=20Preparation?= =?UTF-8?q?=20Kit:=20Dynamic=20Programming:=20Max=20Array=20Sum.=20Solved?= =?UTF-8?q?=20=E2=9C=85.?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- .../max_array_sum-solution-notes.md | 8 ++ .../dynamic_programming/max_array_sum.md | 113 ++++++++++++++++++ .../dynamic_programming/max_array_sum.test.ts | 62 ++++++++++ .../dynamic_programming/max_array_sum.ts | 31 +++++ 4 files changed, 214 insertions(+) create mode 100644 docs/hackerrank/interview_preparation_kit/dynamic_programming/max_array_sum-solution-notes.md create mode 100644 docs/hackerrank/interview_preparation_kit/dynamic_programming/max_array_sum.md create mode 100644 src/hackerrank/interview_preparation_kit/dynamic_programming/max_array_sum.test.ts create mode 100644 src/hackerrank/interview_preparation_kit/dynamic_programming/max_array_sum.ts diff --git a/docs/hackerrank/interview_preparation_kit/dynamic_programming/max_array_sum-solution-notes.md b/docs/hackerrank/interview_preparation_kit/dynamic_programming/max_array_sum-solution-notes.md new file mode 100644 index 00000000..51b92d8e --- /dev/null +++ b/docs/hackerrank/interview_preparation_kit/dynamic_programming/max_array_sum-solution-notes.md @@ -0,0 +1,8 @@ +# [Dynamic Programming: Max Array Sum](https://www.hackerrank.com/challenges/max-array-sum) + +- Difficulty: `#medium` +- Category: `#ProblemSolvingIntermediate` + +## Sources + +- [Max Array Sum — HackerRank Medium Using Inplace Dynamic Programming](https://iawale.medium.com/max-array-sum-hackerrank-medium-using-inplace-dynamic-programming-215a620d7705) diff --git a/docs/hackerrank/interview_preparation_kit/dynamic_programming/max_array_sum.md b/docs/hackerrank/interview_preparation_kit/dynamic_programming/max_array_sum.md new file mode 100644 index 00000000..de422714 --- /dev/null +++ b/docs/hackerrank/interview_preparation_kit/dynamic_programming/max_array_sum.md @@ -0,0 +1,113 @@ +# [Dynamic Programming: Max Array Sum](https://www.hackerrank.com/challenges/max-array-sum) + +- Difficulty: `#medium` +- Category: `#ProblemSolvingIntermediate` + +Given an array of integers, find the subset of +non-adjacent elements with the maximum sum. +Calculate the sum of that subset. +It is possible that the maximum sum is `0`, the case when all elements are negative. + +## Example + +`arr = [-2, 1, 3, -4, 5]` + +The following subsets with more than element exist. +These exclude the empty subset and single element subsets which are also valid. + +```text +Subset Sum +[-2, 3, 5] 6 +[-2, 3] 1 +[-2, -4] -6 +[-2, 5] 3 +[1, -4] -3 +[1, 5] 6 +[3, 5] 8 +``` + +The maximum subset sum is . Note that any individual element is a subset as well. + +`arr = [-2, -3, -1]` + +In this case, it is best to choose no element: return `0`. + +## Function Description + +Complete the `maxSubsetSum` function in the editor below. + +maxSubsetSum has the following parameter(s): + +- `int arr[n]`: an array of integers + +## Returns + +- `int`: the maximum subset sum + +## Input Format + +The first line contains an integer, `n`. +The second line contains `n` space-separated integers `arr[i]`. + +## Constraints + +- $ 1 \leq n \leq 10^5 $ +- $ -10^4 \leq arr[i] \leq 10^4 $ + +## Sample Input 0 + +```text +5 +3 7 4 6 5 +``` + +## Sample Output 0 + +```text +13 +``` + +## Explanation 0 + +Our possible subsets are `[3, 4, 5]`. `[3, 4]`, `[3, 6]`, `[3, 5]`, `[7, 6]`, +`[7, 5]` and `[4, 5]`. +The largest subset sum is `13` from subset `[7, 6]` + +## Sample Input 1 + +```text +5 +2 1 5 8 4 +``` + +## Sample Output 1 + +```text +11 +``` + +## Explanation 1 + +Our subsets are `[2, 5, 4]`, `[2, 5]`, `[2, 8]`, `[2, 4]`, `[1, 8]`, +`[1, 4]` and `[5, 4]`. +The maximum subset sum is `11` from the first subset listed. + +## Sample Input 2 + +```text +5 +3 5 -7 8 10 +``` + +## Sample Output 2 + +```text +15 +``` + +## Explanation 2 + +Our subsets are `[3, -7, 10]`, `[3, 8]`, `[3,10]`, `[5, 8]`, +`[5, 10]` and `[-7, 10]`. + +The maximum subset sum is `15` from the fifth subset listed. diff --git a/src/hackerrank/interview_preparation_kit/dynamic_programming/max_array_sum.test.ts b/src/hackerrank/interview_preparation_kit/dynamic_programming/max_array_sum.test.ts new file mode 100644 index 00000000..65776ae5 --- /dev/null +++ b/src/hackerrank/interview_preparation_kit/dynamic_programming/max_array_sum.test.ts @@ -0,0 +1,62 @@ +import { describe, expect, it } from '@jest/globals'; +import { logger as console } from '../../../logger'; + +import { maxSubsetSum } from './max_array_sum'; + +const TEST_CASES = [ + { + title: 'Sample Test case 0', + input: [3, 7, 4, 6, 5], + expected: 13 + }, + { + title: 'Sample Test case 1', + input: [2, 1, 5, 8, 4], + expected: 11 + }, + { + title: 'Sample Test case 2', + input: [3, 5, -7, 8, 10], + expected: 15 + } +]; + +describe('max_array_sum', () => { + it('maxSubsetSum test cases', () => { + expect.assertions(3); + + TEST_CASES.forEach((test) => { + const answer = maxSubsetSum(test.input); + + console.debug(`maxSubsetSum(${test.input}) solution found: ${answer}`); + + expect(answer).toStrictEqual(test.expected); + }); + }); + + it('maxSubsetSum edge case zero', () => { + expect.assertions(1); + + const input: number[] = []; + const expected: number = 0; + + const answer = maxSubsetSum(input); + + console.debug(`maxSubsetSum(${input}) solution found: ${answer}`); + + expect(answer).toStrictEqual(expected); + }); + + it('maxSubsetSum edge case one', () => { + expect.assertions(1); + + const input: number[] = [1]; + const expected: number = 1; + + const answer = maxSubsetSum(input); + + console.debug(`maxSubsetSum(${input}) solution found: ${answer}`); + + expect(answer).toStrictEqual(expected); + }); +}); diff --git a/src/hackerrank/interview_preparation_kit/dynamic_programming/max_array_sum.ts b/src/hackerrank/interview_preparation_kit/dynamic_programming/max_array_sum.ts new file mode 100644 index 00000000..dcee7f72 --- /dev/null +++ b/src/hackerrank/interview_preparation_kit/dynamic_programming/max_array_sum.ts @@ -0,0 +1,31 @@ +/** + * @link Problem definition [[docs/hackerrank/interview_preparation_kit/dynamic_programming/max_array_sum.md]] + * @see Solution Notes: [[docs/hackerrank/interview_preparation_kit/dynamic_programming/max_array_sum-solution-notes.md]] + */ + +export function maxSubsetSum(arr: number[]): number { + const arrCopy = [...arr]; + + if (arrCopy.length == 0) { + return 0; + } + + const total = arrCopy.length; + + if (total == 1) { + return arrCopy[0]; + } + + let t_max = Math.max(arrCopy[0], arrCopy[1]); + arrCopy[1] = t_max; + + for (let i = 2; i < total; i++) { + t_max = Math.max(arr[i - 2] + arr[i], t_max); + t_max = Math.max(arr[i], t_max); + arr[i] = t_max; + } + + return t_max; +} + +export default { maxSubsetSum }; From 79f01aa7d2be80317042a1fcb714ef1131116a5b Mon Sep 17 00:00:00 2001 From: Gonzalo Diaz Date: Fri, 2 Aug 2024 01:04:27 -0400 Subject: [PATCH 2/2] =?UTF-8?q?[BUGFIX]=20[Hacker=20Rank]=20Interview=20Pr?= =?UTF-8?q?eparation=20Kit:=20Dynamic=20Programming:=20Max=20Array=20Sum.?= =?UTF-8?q?=20FIXED=20=E2=9C=85.=20*=20BigInt=20required=20for=20big=20cas?= =?UTF-8?q?es=20*=20New=20test=20case=20added=20*=20Test=20cases=20data=20?= =?UTF-8?q?moved=20to=20JSON.?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- .../dynamic_programming/max_array_sum.test.ts | 29 ++++++------------- .../max_array_sum.testcase3.json | 5 ++++ .../max_array_sum.testcases.json | 17 +++++++++++ .../dynamic_programming/max_array_sum.ts | 17 ++++++----- 4 files changed, 41 insertions(+), 27 deletions(-) create mode 100644 src/hackerrank/interview_preparation_kit/dynamic_programming/max_array_sum.testcase3.json create mode 100644 src/hackerrank/interview_preparation_kit/dynamic_programming/max_array_sum.testcases.json diff --git a/src/hackerrank/interview_preparation_kit/dynamic_programming/max_array_sum.test.ts b/src/hackerrank/interview_preparation_kit/dynamic_programming/max_array_sum.test.ts index 65776ae5..52435c50 100644 --- a/src/hackerrank/interview_preparation_kit/dynamic_programming/max_array_sum.test.ts +++ b/src/hackerrank/interview_preparation_kit/dynamic_programming/max_array_sum.test.ts @@ -3,30 +3,19 @@ import { logger as console } from '../../../logger'; import { maxSubsetSum } from './max_array_sum'; -const TEST_CASES = [ - { - title: 'Sample Test case 0', - input: [3, 7, 4, 6, 5], - expected: 13 - }, - { - title: 'Sample Test case 1', - input: [2, 1, 5, 8, 4], - expected: 11 - }, - { - title: 'Sample Test case 2', - input: [3, 5, -7, 8, 10], - expected: 15 - } -]; +import TEST_CASES from './max_array_sum.testcases.json'; +import TEST_CASE3 from './max_array_sum.testcase3.json'; + +const ALL_TEST_CASES = [...TEST_CASES, TEST_CASE3]; + +const DECIMAL_RADIX = 10; describe('max_array_sum', () => { it('maxSubsetSum test cases', () => { - expect.assertions(3); + expect.assertions(4); - TEST_CASES.forEach((test) => { - const answer = maxSubsetSum(test.input); + ALL_TEST_CASES.forEach((test) => { + const answer = maxSubsetSum(test.input).toString(DECIMAL_RADIX); console.debug(`maxSubsetSum(${test.input}) solution found: ${answer}`); diff --git a/src/hackerrank/interview_preparation_kit/dynamic_programming/max_array_sum.testcase3.json b/src/hackerrank/interview_preparation_kit/dynamic_programming/max_array_sum.testcase3.json new file mode 100644 index 00000000..09330baa --- /dev/null +++ b/src/hackerrank/interview_preparation_kit/dynamic_programming/max_array_sum.testcase3.json @@ -0,0 +1,5 @@ +{ + "title": "Test case 3", + "input": [6768, -8906, 744, 930, -5685, -3551, 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b/src/hackerrank/interview_preparation_kit/dynamic_programming/max_array_sum.testcases.json new file mode 100644 index 00000000..64ef4d7b --- /dev/null +++ b/src/hackerrank/interview_preparation_kit/dynamic_programming/max_array_sum.testcases.json @@ -0,0 +1,17 @@ +[ + { + "title": "Sample Test case 0", + "input": [3, 7, 4, 6, 5], + "expected": "13" + }, + { + "title": "Sample Test case 1", + "input": [2, 1, 5, 8, 4], + "expected": "11" + }, + { + "title": "Sample Test case 2", + "input": [3, 5, -7, 8, 10], + "expected": "15" + } +] diff --git a/src/hackerrank/interview_preparation_kit/dynamic_programming/max_array_sum.ts b/src/hackerrank/interview_preparation_kit/dynamic_programming/max_array_sum.ts index dcee7f72..1be45324 100644 --- a/src/hackerrank/interview_preparation_kit/dynamic_programming/max_array_sum.ts +++ b/src/hackerrank/interview_preparation_kit/dynamic_programming/max_array_sum.ts @@ -3,8 +3,11 @@ * @see Solution Notes: [[docs/hackerrank/interview_preparation_kit/dynamic_programming/max_array_sum-solution-notes.md]] */ +const bigIntMax = (...args: bigint[]): bigint => + args.reduce((m, e) => (e > m ? e : m), BigInt(0)); + export function maxSubsetSum(arr: number[]): number { - const arrCopy = [...arr]; + const arrCopy: bigint[] = arr.map((x: number): bigint => BigInt(x)); if (arrCopy.length == 0) { return 0; @@ -13,19 +16,19 @@ export function maxSubsetSum(arr: number[]): number { const total = arrCopy.length; if (total == 1) { - return arrCopy[0]; + return Number(arrCopy[0]); } - let t_max = Math.max(arrCopy[0], arrCopy[1]); + let t_max = bigIntMax(arrCopy[0], arrCopy[1]); arrCopy[1] = t_max; for (let i = 2; i < total; i++) { - t_max = Math.max(arr[i - 2] + arr[i], t_max); - t_max = Math.max(arr[i], t_max); - arr[i] = t_max; + t_max = bigIntMax(arrCopy[i - 2] + arrCopy[i], t_max); + t_max = bigIntMax(arrCopy[i], t_max); + arrCopy[i] = t_max; } - return t_max; + return Number(t_max); } export default { maxSubsetSum };