Find which one of the 14 binary search trees corresponds to, Computer Engineering

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Find which one of the 14 binary search trees corresponds to

Problem

There are 24 = 4! possible ordered sequences of the four keys 1, 2, 3, 4, but only 14 distinct binary trees with four nodes. Therefore, these binary trees are not equally likely to occur as search trees. Find which one of the 14 binary search trees corresponds to each of the 24 possible ordered sequences of 1, 2, 3, 4. 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 14 binary search trees corresponds to

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Computer Engineering: Find which one of the 14 binary search trees corresponds to

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