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ASU 401 All Soviet Union MO 1985 like pascal triangle, min wanted

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August 5, 2019
Pascal's Triangletriangle tablecombinatoricsminimumSum

Problem Statement

In the diagram below a,b,c,d,e,f,g,h,i,ja, b, c, d, e, f, g, h, i, j are distinct positive integers and each (except a,e,ha, e, h and jj) is the sum of the two numbers to the left and above. For example, b=a+e,f=e+h,i=h+jb = a + e, f = e + h, i = h + j. What is the smallest possible value of dd?
j h i e f g a b c d