diff --git a/Dynamic-Programming/NumberOfSubsetEqualToGivenSum.js b/Dynamic-Programming/NumberOfSubsetEqualToGivenSum.js new file mode 100644 index 000000000..f45d06985 --- /dev/null +++ b/Dynamic-Programming/NumberOfSubsetEqualToGivenSum.js @@ -0,0 +1,32 @@ +/* +Given an array of non-negative 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) { + 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 + } + dp[0] = 1 // since sum equal to 0 is always possible with no element in subset + + for (let i = 0; i < array.length; i++) { + for (let j = sum; j >= array[i]; j--) { + if (j - array[i] >= 0) { + dp[j] += dp[j - array[i]] + } + } + } + return dp[sum] +} + +function main () { + const array = [1, 1, 2, 2, 3, 1, 1] + const sum = 4 + const result = NumberOfSubsetSum(array, sum) + console.log(result) +} +main()