A rectangular block L×100×H, with L≤100≤H, where L and H are integers, is cut into two non-empty parts by a plane parallel to one of the faces, so that one of the parts is similar to the original. How many possibilities are there for (L, H)?

A rectangular block L×100×H, with L≤100≤H, where L and H are int

1.	A rectangular block L×100×H, with L≤100≤H, where L and H are integers, is cut into two non-empty parts by a plane parallel to one of the faces, so that one of the parts is similar to the original. How many possibilities are there for (L, H)?
Answer» A rectangular block $L \times 100 \times H$ , with $L \leq 100 \leq H$ , where L and H are integers, is cut into two non-empty parts by a plane parallel to one of the faces, so that one of the parts is similar to the original. How many possibilities are there for (L, H)?

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A rectangular block L×100×H, with L≤100≤H, where L and H are integers, is cut into two non-empty parts by a plane parallel to one of the faces, so that one of the parts is similar to the original. How many possibilities are there for (L, H)?

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