Steem Riddle of the Week #13: Picking Coins
This week, once again, I'm asking that everyone who posts a solution, obfuscate it , but this time with a new tool that also obfuscates both letters and numbers. Go here: https://cryptii.com/rot13 and select rot18. That way others can more easily take part without worrying about spoilers.
This weeks riddle
Imagine there is a row of N coins each with different denominations. So far example, if N was 3 it could be a penny, then a dime, then a quarter. Any denomination is possible, it doesn't need to be a real coin, there could a be a coin worth $1,000,000.
Set N to 50, so there are 50 coins in the row. You and your opponent will alternate picking a coin either from the left end of the row or the right end of the row. Prove that if you go first, you can always get at least half of the money.
Posting a Solution
To post a solution, go here: https://cryptii.com/rot13 and select rot18 and post your obfuscated solution as a comment on this post.
Don't forget to follow and to check out my past riddles
First off, thanks to everyone for all the support! If you'd like to browse my older riddles you can do so at the links below:
https://steemit.com/life/@droopy/steem-riddle-of-the-week-2-flipping-cards-prize-doubled
https://steemit.com/life/@droopy/steem-riddle-of-the-week-3-alternating-truth-prize-for-first-correct-answer
https://steemit.com/life/@droopy/steem-riddle-of-the-week-4-black-cards-prize-for-first-correct-answer
https://steemit.com/life/@droopy/steem-riddle-of-the-week-5-the-cup-game-prize-for-first-correct-answer
https://steemit.com/life/@droopy/steem-riddle-of-the-week-6-burning-ropes-prize-doubled
https://steemit.com/life/@droopy/steem-riddle-of-the-week-7-midpoints
https://steemit.com/life/@droopy/steem-riddle-of-the-week-8-truth-lies-and-chaos
https://steemit.com/riddle/@droopy/steem-riddle-of-the-week-9-wandering-monster
https://steemit.com/riddle/@droopy/steem-riddle-of-the-week-10-weighted-balls
https://steemit.com/riddle/@droopy/steem-riddle-of-the-week-11-two-decks
https://steemit.com/riddle/@droopy/steem-riddle-of-the-week-12-no-straight-edge
Is it a game with full information? I. e. can the players see which coins are in between?
yes, all the coins are visible to everyone
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Gur jnl V’z vzntvavat vg vf, lbh unir 50 pbvaf va vapernfvat inyhr bs bar. Fb gurl inyhr 1-50. Fgnegvat jvgu gur 50 pbva, cynpr vg ba gur evtug, gura gnxr gur 49 pbva naq cynpr vg ba gur yrsg, pbagvahr jvgu guvf cnggrea naq oevqtr gur tnc orgjrra gur 49 naq 50 pbva. 1 naq 2 fubhyq or gur zvqqyr gjb pbvaf, naq gur ynfg pbvaf cvpxrq. Vs V’z haqrefgnaqvat pbeerpgyl, lbh fubhyq trg ng yrnfg unys bs gur inyhr nppbeqvat gb gur ehyrf.
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