text: Maximum size subset with given sum using Backtracking | Initialise maximum possible length of subsequence ; Store elements to compare max_length with its size and change the value of max_length accordingly ; Store the elements of the longest subsequence ; Function to find the length of longest subsequence ; Update max_length ; Store the subsequence elements ; Recursively proceed with obtained sum ; poping elements from back of vector store ; if sum > 0 then we don 't  required thatsubsequence  so return and continue  with earlier elements ; Sort the given array ; Traverse the array ; If max_length is already greater than or equal than remaining length ; Driver code
code: max_length = 0 NEW_LINE store = [ ] NEW_LINE ans = [ ] NEW_LINE def find_max_length ( arr , index , sum , k ) : NEW_LINE INDENT global max_length NEW_LINE sum = sum + arr [ index ] NEW_LINE store . append ( arr [ index ] ) NEW_LINE if ( sum == k ) : NEW_LINE INDENT if ( max_length < len ( store ) ) : NEW_LINE INDENT max_length = len ( store ) NEW_LINE ans = store NEW_LINE DEDENT DEDENT for i in range ( index + 1 , len ( arr ) ) : NEW_LINE INDENT if ( sum + arr [ i ] <= k ) : NEW_LINE INDENT find_max_length ( arr , i , sum , k ) NEW_LINE store . pop ( ) NEW_LINE DEDENT else : NEW_LINE INDENT return NEW_LINE DEDENT DEDENT return NEW_LINE DEDENT def longestSubsequence ( arr , n , k ) : NEW_LINE INDENT arr . sort ( ) NEW_LINE for i in range ( n ) : NEW_LINE INDENT if ( max_length >= n - i ) : NEW_LINE INDENT break NEW_LINE DEDENT store . clear ( ) NEW_LINE find_max_length ( arr , i , 0 , k ) NEW_LINE DEDENT return max_length NEW_LINE DEDENT if __name__ == " _ _ main _ _ " : NEW_LINE INDENT arr = [ - 3 , 0 , 1 , 1 , 2 ] NEW_LINE n = len ( arr ) NEW_LINE k = 1 NEW_LINE print ( longestSubsequence ( arr , n , k ) ) NEW_LINE DEDENT