Using C++, code the following problem: In this problem, we are given a knapsack of fixed capacity C. We are also given a list of N objects, each having a weight W(I) and profit P(I). We can put any...

In this problem, we are given a knapsack of fixed capacity C. We are also given a list of N objects, each having a weight W(I) and profit P(I). We can put any subset of the objects into the knapsack, as long as the total weight of our selection does not exceed C. The goal is to maximize the total profit, which is the sum of the profits of each object we put into the knapsack.

Explanation: Possible selections that can be put in the knapsack are: 1 with profit 100 2 with profit 5 3 with profit 50 1 and 2 with profit 105 Note that in this problem, there is no need that the some of weights be exactly C. Hence, in this example, 1 is a valid solution but since the profit is lower than the maximum, is not the final answer.

First line is C. Second line is the number of objects, N. The next N lines, each line contains two numbers: the first number is the weight of an object and the second number is the profit of that object.

NA

Print out the maximum profit.

Example: for the above input 105