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MathNet 2012 Question 72

Math Olympiad Vault · MathNet 2012

Question 72

Write the digits $0$ through $9$ in a row, in any order you choose. On the row below, join neighboring digits to form nine new numbers, and add them, as in the example:

Digit row: $2,1,3,7,4,9,5,8,0,6$.
Joined adjacent pairs: $21,13,37,74,49,95,58,80,06$.
The final row of the source table contains a single $1$ in its first cell, with all other cells empty.

What is the largest possible sum?
A) 506
B) 494
C) 469
D) 447
E) 432