diff --git a/lib/twoSum/index.ts b/lib/twoSum/index.ts new file mode 100644 index 0000000..1d51cc8 --- /dev/null +++ b/lib/twoSum/index.ts @@ -0,0 +1,3 @@ +import { twoSum } from "./twoSum"; + +export default twoSum; diff --git a/lib/twoSum/readme.md b/lib/twoSum/readme.md new file mode 100644 index 0000000..2d985f1 --- /dev/null +++ b/lib/twoSum/readme.md @@ -0,0 +1,114 @@ +# [twoSum](https://leetcode.com/problems/two-sum-ii-input-array-is-sorted) + +## описание задачи + +Given a 1-indexed array of integers numbers that is already sorted in non-decreasing order, find two numbers such that they add up to a specific target number. Let these two numbers be numbers[index1] and numbers[index2] where 1 <= index1 < index2 <= numbers.length. + +Return the indices of the two numbers, index1 and index2, added by one as an integer array [index1, index2] of length 2. + +The tests are generated such that there is exactly one solution. You may not use the same element twice. + +Your solution must use only constant extra space. + + + +Example 1: + +- Input: numbers = [2,7,11,15], target = 9 +- Output: [1,2] +- Explanation: The sum of 2 and 7 is 9. Therefore, index1 = 1, index2 = 2. We return [1, 2]. + +Example 2: + +- Input: numbers = [2,3,4], target = 6 +- Output: [1,3] +- Explanation: The sum of 2 and 4 is 6. Therefore index1 = 1, index2 = 3. We return [1, 3]. + +Example 3: + +- Input: numbers = [-1,0], target = -1 +- Output: [1,2] +- Explanation: The sum of -1 and 0 is -1. Therefore index1 = 1, index2 = 2. We return [1, 2]. + + +Constraints: + +2 <= numbers.length <= 3 * 104 +-1000 <= numbers[i] <= 1000 +numbers is sorted in non-decreasing order. +-1000 <= target <= 1000 +The tests are generated such that there is exactly one solution. + +## тест кейсы + +```ts +describe("twoSum", () => { + + it("[2,7,11,15] 9 => [1,2]", () => { + expect(twoSum([2, 7, 11, 15], 9)).toEqual([1, 2]); + }); + + it("[2,3,4] 6 => [1,3]", () => { + expect(twoSum([2, 3, 4], 6)).toEqual([1, 3]); + }); + + it("[-1, 0] -1 => [1, 2]", () => { + expect(twoSum([-1, 0], -1)).toEqual([1, 2]); + }); + + it("[5,25,75] 100 => [2,3]", () => { + expect(twoSum([5, 25, 75], 100)).toEqual([2, 3]); + }) +}); +``` + +## текстовое описание решения + +- заводим два указателя, в начале и конце +- в цикле получаем по указателям значение и складываем +- если сумма больше таргет двигаем правый указатель +- если сумма меньше таргет двигаем левый указатель +- если сумма равна таргет возвращаем значение указателей +1 +- если указатели сошлись а сумма не равна таргет выходим из цикла и возвращаем [-1, -1] + +## ассимптотическая оценка + +| Description | Estimation | +| ----------- | ---------- | +| time: | O(n) | +| mem: | O(n) | + +## time + +| Description | Time | +| ------------------------------------------- | ----- | +| анализ и сбор информации | 11:50 | +| обдумываение решения и формулировка решения | 08:47 | +| имплементация | 20:28 | +| исправление ошибок | 20:00 | +| полное время затраченое на решение | 01:01:07 | + +## журнал ошибок + +- не разобрался с правилами для движения указателя, какой в какой момент двигать +- не учел условие возврата индексов + 1 + +## code + +### typescript + +```ts +function twoSum(numbers: number[], target: number): number[] { + let L = 0; + let R = numbers.length - 1; + + while (L <= R) { + const curSum = numbers[L] + numbers[R]; + if (curSum === target) return [L + 1, R + 1]; + curSum > target ? R-- : L++; + } + + return [-1, -1]; +}; +``` + diff --git a/lib/twoSum/twoSum.test.ts b/lib/twoSum/twoSum.test.ts new file mode 100644 index 0000000..e579e68 --- /dev/null +++ b/lib/twoSum/twoSum.test.ts @@ -0,0 +1,21 @@ +import { describe, it, expect } from "vitest"; +import { twoSum } from "./twoSum.ts"; + +describe("twoSum", () => { + + it("[2,7,11,15] 9 => [1,2]", () => { + expect(twoSum([2, 7, 11, 15], 9)).toEqual([1, 2]); + }); + + it("[2,3,4] 6 => [1,3]", () => { + expect(twoSum([2, 3, 4], 6)).toEqual([1, 3]); + }); + + it("[-1, 0] -1 => [1, 2]", () => { + expect(twoSum([-1, 0], -1)).toEqual([1, 2]); + }); + + it("[5,25,75] 100 => [2,3]", () => { + expect(twoSum([5, 25, 75], 100)).toEqual([2, 3]); + }) +}); diff --git a/lib/twoSum/twoSum.ts b/lib/twoSum/twoSum.ts new file mode 100644 index 0000000..7602c54 --- /dev/null +++ b/lib/twoSum/twoSum.ts @@ -0,0 +1,12 @@ +export function twoSum(numbers: number[], target: number): number[] { + let L = 0; + let R = numbers.length - 1; + + while (L <= R) { + const curSum = numbers[L] + numbers[R]; + if (curSum === target) return [L + 1, R + 1]; + curSum > target ? R-- : L++; + } + + return [-1, -1]; +};