# Reverse Chicken McNugget Theorem

Computer Science Level pending

For non-negative integers $$a$$ and $$b$$, Let $$T_i$$ denote the $$i^{\text{th}}$$ largest positive integer such that there's no solution to $$11a + 12b = T_i$$.

What is the value of $$T_1 + T_2 + T_3 + T_4 + T_5 + T_6 + T_7 + T_8 + T_9 + T_{10}$$?

Details and assumptions:

• This is a Computer Science problem, but you're welcome to try to solve it with mathematics alone.
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