# Reworded UKMT Intermediate Challenge

Logic Level 4

A road from Alphaville to Echoton passes through three other towns: Bravoton, Charlyville and Deltatown in that order. The distances along the road between pairs of these towns are given in kilometres. From smallest to largest, these ten distances are $$2, 5, 6, *, *, *, *, 15, 18, 20$$. Find all possible missing distances. Input the sum of all possible distances (for example, if we had possibilities $$7,8,9,10$$; $$7,8,13,14$$ and $$11,12,13,14$$ the input would be $$7+8+9+10+7+8+13+14+11+12+13+14$$).

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