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We have N (N ≤ 10000) objects, and wish to classify them into several groups by judgement of their resemblance. To simply the model, each object has 2 indexes a and b (a, b ≤ 500). The resemblance of object i and object j is defined by dij = |ai - aj| + |bi - bj|, and then we say i is dij resemble to j. Now we want to find the minimum value of X, so that we can classify the N objects into K (K < N) groups, and in each group, one object is at most X resemble to another object in the same group, i.e, for every object i, if i is not the only member of the group, then there exists one object j (i ≠ j) in the same group that satisfies dij ≤ X
The first line contains two integers N and K. The following N lines each contain two integers a and b, which describe a object.
A single line contains the minimum X.
6 2 1 2 2 3 2 2 3 4 4 3 3 1
POJ Monthly--2007.08.05, Li, Haoyuan
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