Problem 11. (i) Consider the following arithmetic problem ab*c de + fg hi where a, b, c, d, e, f, g, h, i stand for a nonzero digit, i.e., they are elements of the set {1,2,3, 4, 5, 6, 7, 8, 9}, * denotes multiplication and + addition. Each nonzero digit occurs only once in the problem. Is there a solution? If so, is the solution unique? (ii) Write a C++ program that finds a solution (if one exists).

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