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   Author  Topic: Fruit Addition  (Read 4338 times)
kiki lee
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Fruit Addition  
« on: Jun 25th, 2003, 9:53am »
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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
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Re: MS question1  
« Reply #1 on: Jul 28th, 2003, 11:44am »
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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
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Re: MS question1  
« Reply #2 on: Aug 12th, 2003, 6:37am »
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 Would u like to tell me how did u solve that ?
Hope that was't come out of trial & error method .....
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towr
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Re: MS question1  
« Reply #3 on: Aug 12th, 2003, 7:31am »
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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
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Armtusk J
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Re: MS question1  
« Reply #4 on: Sep 17th, 2003, 10:19am »
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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.
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James Fingas
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Re: MS question1  
« Reply #5 on: Sep 17th, 2003, 10:32am »
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In the solution, you are allowed to "carry". That means that 'a' + 'e' + 'n' must be 10 or 20.
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Re: MS question1  
« Reply #6 on: Sep 26th, 2003, 5:39pm »
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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
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