You are not logged in.
Hi all
I have some simple but challenging enough problems to submit.
___Part I___
You are given a sequence of n digits and allowed to split it by grouping at most 2 consecutive digits together.
Example: 796421 may give the splitting 7 96 4 21
***Find a formula for the number of possible splittings.***
___Part II___
You are given a number X and a sequence of digits.
Your task is to split the sequence so that the obtained groups
(of at most 2 digits) add up (or average to) X.
Examples
81 as a sum for 15723 1 57 23 --> 81
27 as a mean for 15723 1 57 23 --> 81/3 = 27
Can you solve the following:
77 as a sum for 15683
79 as a sum for 532168.
88 as a sum for 191414941
31 as a mean for 9579
14 as a mean for 884653
42 as a mean for 11398917