#Question 14

15 messages · Page 1 of 1 (latest)

gentle escarp Dec 20, 2025, 12:08 PM

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This was a problem in the previous Georg Mohr competition (Olympiad candidate election) 1st round in Denmark. The answer sheet states that the answer is 2026 with no explanation. I cannot make out any sense in this answer. I believe the answer must be some terrificly large number involving polynomial theorem regardless whether the list is sorted or unsorted. I think the question is testing number theory in some sort, but it's just absurd to figure out. Any help appreciated.

Screenshot_20251220_125854_com.microsoft.office.word.jpg

Screenshot_20251220_125954_com.microsoft.office.word.jpg

finite escarpBOT Dec 20, 2025, 12:08 PM

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supple prism Dec 20, 2025, 12:54 PM

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what have you tried

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hint:check for max sum where each throw results 6

frozen crater Dec 20, 2025, 4:29 PM

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gentle escarp This was a problem in the previous Georg Mohr competition (Olympiad candidate el...

max sum is 12156 so js think what type of list you would need for the sum to be 12155

gentle escarp Dec 20, 2025, 4:52 PM

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frozen crater max sum is 12156 so js think what type of list you would need for the sum to be ...

Uhhh I prbly read the numbers wrong in some way, there's no way I havn't tried that KEK
Thx awoo

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2025 * 6 + 1 * 5

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so use the 5 as a slider through all terms

supple prism Dec 20, 2025, 4:57 PM

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gentle escarp so use the 5 as a slider through all terms

yes

gentle escarp Dec 20, 2025, 4:58 PM

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.solved

finite escarpBOT Dec 20, 2025, 4:58 PM

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Solved

Post marked as solved by @gentle escarp.

Use .unsolved if this was a mistake.

gentle escarp Dec 20, 2025, 5:01 PM

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is this also 2026!/(2026-2025)!/2025!

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(binomial coefficient?)

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oh yeah technically you're "selecting" 2025 terms to be 6

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and a single as 1