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wu :: forums    riddles    microsoft (Moderators: SMQ, william wu, Grimbal, ThudnBlunder, Eigenray, Icarus, towr)    Fruit Addition « Previous topic | Next topic » Pages: 1  Reply Notify of replies Send Topic Print    Author  Topic: Fruit Addition  (Read 4327 times) kiki lee Guest Fruit Addition   « on: Jun 25th, 2003, 9:53am » Quote Modify Remove This is a interview question from MS        p e a r        a p p l e        l e m o n   + b a n a n a   -------------   = o r a n g e     Each letter represents a different number from 0-9, p,a,l,b,o will not be zero. What is the number for each letter   Thread title modified by James 2003-09-17 « Last Edit: Sep 17th, 2003, 10:33am by James Fingas » IP Logged Moonz Guest Re: MS question1   « Reply #1 on: Jul 28th, 2003, 11:44am » Quote Modify Remove Solved by brute force : A=8 B=1 E=7 G=6 L=4 M=5 N=0 O=3 P=9 R=2 « Last Edit: Aug 12th, 2003, 6:52am by william wu » IP Logged somu Newbie     Gender: Posts: 5 Re: MS question1   « Reply #2 on: Aug 12th, 2003, 6:37am » Quote Modify  Would u like to tell me how did u solve that ? Hope that was't come out of trial & error method ..... IP Logged towr wu::riddles Moderator Uberpuzzler Some people are average, some are just mean.     Gender: Posts: 13730 Re: MS question1   « Reply #3 on: Aug 12th, 2003, 7:31am » Quote Modify as he said, brute force. brute force = (use a computer to) try every possible answer, and take the (first) one(s) that actually solves the problem IP Logged Wikipedia, Google, Mathworld, Integer sequence DB Armtusk J Guest Re: MS question1   « Reply #4 on: Sep 17th, 2003, 10:19am » Quote Modify Remove The above problem cannot be solved if the letters are all positive numbers (0-9) and 'a' is not 0. Since the last letter of  the total is 'e' (orange) and it is the sum of 'e' + 'n' + 'a' and since 'a' > 0, then 'e' must also be > 0 which is impossible unless 'n' < 0, which then disagrees with the given requirements. IP Logged James Fingas Uberpuzzler     Gender: Posts: 949 Re: MS question1   « Reply #5 on: Sep 17th, 2003, 10:32am » Quote Modify In the solution, you are allowed to "carry". That means that 'a' + 'e' + 'n' must be 10 or 20. IP Logged Doc, I'm addicted to advice! What should I do? Sir Col Uberpuzzler impudens simia et macrologus profundus fabulae     Gender: Posts: 1825 Re: MS question1   « Reply #6 on: Sep 26th, 2003, 5:39pm » Quote Modify To confirm Moonz's result, there is one solution: pear+apple+lemon+banana=orange 9782+89947+47530+180808=328067   OR     pear     9782  apple    89947  lemon    47530 banana   180808 ______   ______ orange   328067 IP Logged mathschallenge.net / projecteuler.net Pages: 1  Reply Notify of replies Send Topic Print Forum Jump: ----------------------------- riddles -----------------------------  - easy   - medium   - hard   - what am i   - what happened => microsoft   - cs   - putnam exam (pure math)   - suggestions, help, and FAQ   - general problem-solving / chatting / whatever ----------------------------- general -----------------------------  - guestbook   - truth   - complex analysis   - wanted   - psychology   - chinese « Previous topic | Next topic »

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