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l1 = [23.17,3.2,1.22,0.32] | |
l2 = [7.36,4.16,3.20,1.69,1.28,1.28,0.96,0.96,0.90,0.64,0.64,0.64,0.50,0.50,0.32,0.32,0.32,0.32,0.32,0.32,0.32,0.32,0.32,0.32] | |
''' | |
Convert input to ints because of accuracy issue with float arithmetic. | |
''' | |
l1 = [round(x * 100) for x in l1] | |
l2 = [round(x * 100) for x in l2] | |
def group(l1, l2): | |
def backtrack(i, ans): | |
if i >= len(l2): | |
return ans[:] | |
j = 0 | |
while j < len(l1): | |
if l1[j] >= l2[i]: | |
ans.append(j) | |
l1[j] -= l2[i] | |
a = backtrack(i + 1, ans) | |
l1[j] += l2[i] | |
ans.pop() | |
if a: | |
return a | |
j += 1 | |
return [] | |
ret = {x : [] for x in l1} | |
if sum(l1) != sum(l2): | |
# No Answer | |
return ret | |
ans = backtrack(0, []) | |
for i, x in enumerate(ans): | |
ret[l1[x]].append(l2[i]) | |
return ret | |
print("l1 =", l1) | |
print("l2 =", l2) | |
print("ans =", group(l1, l2)) | |
''' | |
l1 = [2317, 320, 122, 32] | |
l2 = [736, 416, 320, 169, 128, 128, 96, 96, 90, 64, 64, 64, 50, 50, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32] | |
ans = {2317: [736, 416, 320, 169, 128, 128, 96, 96, 64, 64, 50, 50], 320: [64, 32, 32, 32, 32, 32, 32, 32, 32], 122: [90, 32], 32: [32]} | |
''' |
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This brute force approach will not work for reasonably larger dataset. We will need to apply further heuristics to prune the search space.