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Answer on Quantitative Methods Question for Dilon

Question #19284
I want to program a question that is :

There are m integer strings of length 3 ( suppose all of them are positive and have length of 3 for example : 3 => 003 ) and they have either bonus(positive) or penalty(negative) for us , the problem is that give a string of lenth N that has a maximum bonus for us . Every subsequence that appears in the output string gives us either a bonus or penalty .
examples :

N = 5
356 20
674 -10
Output :

00356 ( 356 => 00356 )
another example :

N = 5
532 20
243 10
Output :

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