RE: Maths Brain Teasers 62:: Adding up to 1k - Can You Solve iT?

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(Edited)

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Wrote a quick script in Python to find all of the possible solutions:

(21, 64, 126, 373, 416)
and
(64, 66, 126, 328, 416)

EDIT: only (21, 64, 126, 373, 416) because I misread/mistyped 382 as 328 in my code. Thanks for spotting that @minus-pi

Not my best code, but if you are curious, here it is

import itertools
numbers = [373,135,30,375,126,411,416,64,73,382,66,128,418,21,23,425] 

def hasDuplicate(list):
    existingNums = []
    for num in list:
        if num in existingNums:
            return True
        else:
            existing_nums.append(num)
    return False


ways = []
for choice in itertools.product(numbers, repeat=5):
    if sum(choice) == 1000:
        if not hasDuplicate(choice):
            if sorted(choice) not in ways:
                print(sorted(choice))
                ways.append(sorted(choice))
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hehe, I think you made a similar copy&paste mistake than me :D
328 should be 382

You can use random.sample then you don't need to check for duplicates:

from random import sample
nums = [373, 135, 30, 375,
        126, 411, 416, 64,
        73, 382, 66, 128,
        418, 21, 23, 425]

sel = []
while sum(sel) != 1000:
    sel = sample(nums, 5)

print(sorted(sel))
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Ah whoops fixed that now. Thank you for letting me know. I tend to mistype and misread numbers a lot, so I'm not super surprised I messed that up :)

I could have done it using random samples, but I had assumed there might be multiple solutions, so I wanted to iterate over all possible ones instead. That solution does work too.

Also, I looked back at itertools's documentation and realized I missed that there is a itertools.combinationsfunction I missed that would work as well and make the code I had simpler.

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