Newton is a brilliant mathematician and solving triangles problems fascinates him. Today he is given a sequence of positive integers V1, V2, ..., VN. You must choose three elements Vx, Vy, Vz (x, y, z is vertices) such that the triangle formed have these properties: |XY|= Vz, |XZ|=Vy, |YZ|=Vx and the angle |ZYXZ|= 0 satisfies cose>P/Q, where 0 should be maximum possible. Find any such triangle or determine that it does not exist. Develop a C++ code which prints the value of x, y, z in a single line and print "Invalid" if not possible.

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