Some of the 9 ⋄s in the expression 10 ⋄ 9 ⋄ 8 ⋄ 7 ⋄ 6 ⋄ 5 ⋄ 4 ⋄ 3 ⋄ 2 ⋄ 1 are replaced by “÷” and the remaining ⋄s are replaced by “×”. The result is a one-digit integer. What is the smallest number of ⋄s that must be replaced by “÷”.
10*9*8*7*6*5*4*3*2*1 turns into 10/9/8*7*6/5*4*3/2*1 so 4 *'s were replaced.
:D
