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15 changes: 8 additions & 7 deletions 15 Dynamic-Programming/NumberOfSubsetEqualToGivenSum.js
Original file line number Diff line number Diff line change
@@ -1,12 +1,19 @@
/*
Given an array of non-negative integers and a value sum,
Given an array of positive integers and a value sum,
determine the total number of the subset with sum
equal to the given sum.
*/
/*
Given solution is O(n*sum) Time complexity and O(sum) Space complexity
*/
function NumberOfSubsetSum(array, sum) {
if (sum < 0) {
throw new Error('The sum must be non-negative.')
}

if (!array.every((num) => num > 0)) {
throw new Error('All of the inputs of the array must be positive.')
}
const dp = [] // create an dp array where dp[i] denote number of subset with sum equal to i
for (let i = 1; i <= sum; i++) {
dp[i] = 0
Expand All @@ -23,10 +30,4 @@ function NumberOfSubsetSum(array, sum) {
return dp[sum]
}

// example

// const array = [1, 1, 2, 2, 3, 1, 1]
// const sum = 4
// const result = NumberOfSubsetSum(array, sum)

export { NumberOfSubsetSum }
25 changes: 25 additions & 0 deletions 25 Dynamic-Programming/tests/NumberOfSubsetEqualToGivenSum.test.js
Original file line number Diff line number Diff line change
@@ -0,0 +1,25 @@
import { NumberOfSubsetSum } from '../NumberOfSubsetEqualToGivenSum'

describe('Testing NumberOfSubsetSum', () => {
it.each([
[[], 0, 1],
[[], 1, 0],
[[1], 2, 0],
[[1, 2, 3, 4, 5], 0, 1],
[[1, 1, 1, 1, 1], 5, 1],
[[1, 1, 1, 1, 1], 4, 5],
[[1, 2, 3, 3], 6, 3],
[[10, 20, 30, 1], 31, 2],
[[1, 1, 2, 2, 3, 1, 1], 4, 18]
])('check with %j and %i', (arr, sum, expected) => {
expect(NumberOfSubsetSum(arr, sum)).toBe(expected)
})

it.each([
[[1, 2], -1],
[[0, 2], 2],
[[1, -1], 0]
])('throws for %j and %i', (arr, sum) => {
expect(() => NumberOfSubsetSum(arr, sum)).toThrowError()
})
})
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