ScenarioListen to this story: a boy and his father, a computer programmer, are playing with wooden blocks. They are building a pyramid.Their pyramid is a bit weird, as it is actually a pyramid-shaped wall – it's flat. The pyramid is stacked according to one simple principle: each lower layer contains one block more than the layer above.The figure illustrates the rule used by the builders:Your task is to write a program which reads the number of blocks the builders have, and outputs the height of the pyramid that can be built using these blocks.Note: the height is measured by the number of fully completed layers – if the builders don't have a sufficient number of blocks and cannot complete the next layer, they finish their work immediately.
Question
ScenarioListen to this story: a boy and his father, a computer programmer, are playing with wooden blocks. They are building a pyramid.Their pyramid is a bit weird, as it is actually a pyramid-shaped wall – it's flat. The pyramid is stacked according to one simple principle: each lower layer contains one block more than the layer above.The figure illustrates the rule used by the builders:Your task is to write a program which reads the number of blocks the builders have, and outputs the height of the pyramid that can be built using these blocks.Note: the height is measured by the number of fully completed layers – if the builders don't have a sufficient number of blocks and cannot complete the next layer, they finish their work immediately.
Solution
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