Question: Design an algorithm such that Input: array A[1..n] of positive integers and a positive integer C; Output: the smallest integer m such that there are

Design an algorithm such that

Input: array A[1..n] of positive integers and a positive integer C;

Output: the smallest integer m such that there are m elements in A that sum up to C or is there are no such elements.

The complexity of the algorithm should be O(nC). For example, if A = [1,3,1,5,2] and C = 7, then the output will be 2 because 7 can be written as 5 + 2.

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