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Cluster the following eight points (with (x, y) representing locations) into three clusters: A1(2, 10), A2(2, 5), A3(8, 4), A4(5, 8), A5(7, 5), A6(6, 4),

Cluster the following eight points (with (x, y) representing locations) into three clusters:

A1(2, 10), A2(2, 5), A3(8, 4), A4(5, 8), A5(7, 5), A6(6, 4), A7(1, 2), A8(4, 9)

Initial cluster centers are: A1(2, 10), A4(5, 8) and A7(1, 2).

The distance function (called Manhattan distance) between two points a = (x1, y1) and b = (x2, y2) is defined as

D(a, b) = |x2 x1| + |y2 y1|

Use K-Means Algorithm to find the three cluster centers after the second iteration.

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