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solve =: monad define
ns =. p:i._1 p: y
for_length. |.I.y>+/\ns do.
sums =. length+/\ns
vals =. sums#~(y>sums)*.1 p: sums
if. 0<#vals do.
return. >./vals
end.
end.
)
problem50 =: solve 1e6
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