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CheezItMan
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You didn't take a dynamic programming approach to these solutions at all. Take a look at my notes and when we review this in class. Memoization as an approach can greatly improve the time complexity of these algorithms.
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| while i < size | ||
| max_ending_here = 0 | ||
| j = i | ||
| while j < size | ||
| max_ending_here = max_ending_here + nums[j] | ||
| if max_so_far < max_ending_here | ||
| max_so_far = max_ending_here | ||
| end | ||
| j += 1 | ||
| end | ||
| i += 1 | ||
| end | ||
| return max_so_far |
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Think about how you could use a dynamic programming approach (saving max subarrays) to avoid having this inner loop.
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| def newman_conway_helper(num) | ||
| return 1 if num == 1 || num == 2 | ||
| return newman_conway_helper( newman_conway_helper(num - 1)) + newman_conway_helper(num - newman_conway_helper(num - 1)) | ||
| end No newline at end of file |
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This is exactly the same problem as fibonacci. Please re-read the textbook curriculum on this. Your solution is O(3n), which is much worse than the linear time solution.
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