Question 1170100
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I thought on this problem.


Surely,  the most interesting part is to get a setup,  i.e.  to create a mathematical model.


The only model,  which may work in this case,  is  THIS.



<pre>
    There are 10 unknown variables, in all: seven for the first week Sun-Sat, 
    and 3 additional unknown variables for the days Sun, Mon and Tue of the next week.


    For these 10 unknowns, we have 4 equations: each single equation is the given sum for 7 days in the range.


    Having this system of 4 equations in 10 unknowns, we actually have 6 "free unknown variables", that may have any
    values, and 4 dependable unknowns - - - these four unknown are entirely defined by the six "free unknown variables" 
    and the structure of the 4 equations.
</pre>


If you are interested, &nbsp;you may develop the solution further from this point to completion.


What to me, &nbsp;the further developing this idea is not interesting to me, &nbsp;so I will not work on it.


In this problem, &nbsp;as &nbsp;I &nbsp;said above, &nbsp;the more or less interesting part is setuping and creating a &nbsp;Math model.


The rest is just boring technique.



The problem itself does not seem interesting to me, &nbsp;excluding the setup, &nbsp;which is just done.