Triangular Papyrus#4209
During an excavation, archaeologists discovered an unusual fragment of ancient papyrus shaped like a triangle. Due to its age, the papyrus was very fragile, so to preserve and transport it, a protective case is needed. Unfortunately, only a flat, square box is available.
You need to determine whether the papyrus can be placed inside this box, with no deformation of the papyrus (folding, rolling, etc.) allowed — as it could fall apart.
The input consists of a single line containing four positive integers , , , ; the first three are the side lengths of the triangular papyrus, and the fourth is the side length of the flat square box. All measurements are no greater than . It is guaranteed that the triangle is not degenerate.
Print **YES** if the papyrus can be placed inside the box, and **NO** otherwise. The papyrus may touch the sides of the box.
Esempio 1