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Interpolation difficulty


Interpolation[{{2, 1}, {4, 5}, {5, 2}}, InterpolationOrder -> 0] gives
a function which is 5 from 2 to 4, and 2 from 4 to 5.

I want as a result a function which is 1 from 2 up to 4, then 5 from 4
up to 5. It should extrapolate to x=1 giving also 1, and to x=6 giving
2. Is this possible? Many thanks in advance.


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