Find which one of the five binary search trees corresponds, Computer Engineering

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Find which one of the five binary search trees corresponds

Problem

There are 6 = 3! possible ordered sequences of the three keys 1, 2, 3, but only 5 distinct binary trees with three nodes. Therefore, these binary trees are not equally likely to occur as search trees. Find which one of the five binary search trees corresponds to each of the six possible ordered sequences of 1, 2, 3. Thereby find the probability for building each of the binary search trees from randomly ordered input.

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Computer Engineering: Find which one of the five binary search trees corresponds

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Computer Engineering: Find which one of the five binary search trees corresponds

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