Question: 6. [10 pts Give an algorithm that counts the number of distinct ways a number N can be written as the sum of the numbers

6. [10 pts Give an algorithm that counts the number of

6. [10 pts Give an algorithm that counts the number of distinct ways a number N can be written as the sum of the numbers 1, 3, and 5 that runs in time O(N). Argue that your algorithm is correct. (Note that N is the value of the number, not the input size.) For example, - 1+3+11 - 11 +3+1 - 3+3 - 51 So, for N- 6 the answer is 8

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