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1 15.082 and 6.855J February 25, 2003 Radix Heap Animation

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2 An Example from AMO (with a small change) 1 0 1 2 3 4 7 8 15 16 31 32 63 1 2 4 5 3 6 13 5 2 8 15 20 9 0 Initialize distance labels Insert nodes into buckets. Initialize buckets and their ranges. 0 2 3 4 5 6
3 Select 1 0 1 2 3 4 7 8 15 16 31 32 63 1 2 4 5 3 6 13 5 2 8 15 20 9 0 Select the node with minimum distance label 0 2 3 4 5 6

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4 Update 3 0 1 2 3 4 7 8 15 16 31 32 63 1 2 4 5 3 6 13 5 2 8 15 20 9 0 Scan arcs out of node 1 and update distance labels. 0 2 3 4 5 6 13 2 0 15 4 20 5
5 Select 3 0 1 2 3 4 7 8 15 16 31 32 63 1 2 4 5 3 6 13 5 2 8 15 20 9 0 Select the node with minimum distance label 0 6 2 4 5 Node 3 has label 0, which is minimum. 13 0 15 20

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6 Update 3 0 1 2 3 4 7 8 15 16 31 32 63 1 2 4 5 3 6 13 5 2 8 15 20 9 0 Scan arcs out of node 3 and update distance labels. 0 6 2 4 5 13 0 15 20 9 5
7 Select: part 1 0 1 2 3 4 7 8 15 16 31 32 63 1 2 4 5 3 6 13 5 2 8 15 20 9 0 Find the first non-empty bucket, by scanning buckets from left to right.

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