<prompt> Kutokana na vigezo zifuatazo, kubuni algorithm kutatua tatizo.Kutokana na orodha ya integer na lengo jumla, kupata wote mchanganyiko wa namba kutoka orodha ambayo kuongeza hadi lengo jumla.  <response>: An algorithm to solve the problem can be implemented using backtracking, which is an efficient method for finding all possible combinations of numbers that add up to the target sum.pythondef combinationSumcandidates, target: result backtrackresult, , candidates, target, 0 return resultdef backtrackresult, temp, candidates, remain, start: if remain 0: return elif remain 0: result.appendtemp: else: for i in rangestart, lencandidates: temp.appendcandidatesi backtrackresult, temp, candidates, remain-candidatesi, i temp.popThe algorithm above takes in a list of integers, called candidates, and the target sum as input parameters. It returns a list of lists, where each list represents a combination of numbers from the input list that adds up to the target sum.The backtrack function is a recursive function that takes in the following parameters:- result: A list of lists that stores the resulting combinations of numbers that add up to the target sum.- temp: A temporary list that stores the current combination of numbers being explored.- candidates: A list of integer candidates to consider for the target sum.- remain: The remaining sum to be reached.- start: The starting index of the candidates list to be considered.The function first checks if the remaining sum, remain, is less than 0, in which case it returns as there is no valid combination that can be found. If the remaining sum is equal to 0, it means that a valid combination has been found and it is added to the result list.Otherwise, the function will loop through the list of candidates, starting from the start index, and for each candidate, it appends it to the temp list and recursively calls the backtrack function with the updated remaining sum and start index. After the recursive call returns, the candidate is removed from the temp list.The algorithm is called by passing in the candidates and target parameters to the combinationSum function, which initializes the result list and calls the backtrack function. 