Created
December 1, 2020 13:12
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0-1 backpack dp in python
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| import numpy as np | |
| numbers = np.array([67000, 48720, 222600, 27560, 2500000, 2120, 53446, 53000, 53000, 53000, 45077, 7977, 100000, 6382, 30605, 64782, 33485, 3697, 71056, 2515]) | |
| targetSum = 301925 | |
| arr = [np.zeros([targetSum+1], dtype=np.int), np.zeros([targetSum+1], dtype=np.int)] | |
| curArr = 1 | |
| for i in range(len(numbers)): | |
| curArr = 1 - curArr | |
| if (i==0): | |
| arr[curArr][numbers[i]] = 1 | |
| else: | |
| arr[curArr] = arr[1-curArr] | |
| t = np.concatenate([[numbers[i]], numbers[i] + np.where(arr[1-curArr]>0)[0]]) | |
| t = t[t<arr[curArr].shape[0]] | |
| t = t[arr[curArr][t]==0] | |
| arr[curArr][t] = i + 1 | |
| if arr[curArr][targetSum] > 0: | |
| res = [] | |
| curSum = targetSum | |
| curPick = arr[curArr][curSum] - 1 | |
| while curSum > 0: | |
| res.append(curPick) | |
| curSum -= numbers[curPick] | |
| curPick = arr[curArr][curSum] - 1 | |
| print(numbers[res]) |
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