Square Deal

문제

Given the dimensions of three rectangles, determine if all three can be glued together, touching just on the edges, to form a square. You may rotate the rectangles. For example, Figure C.1 shows successful constructions for the first two sample inputs.

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Figure C.1: Constructions for the first two examples

입력

The input consists of three lines, with line j containing integers H_j and W_j , designating the height and width of a rectangle, such that 100 ≥ H_j ≥ W_j ≥ 1, and such that H₁ ≥ H₂ ≥ H₃.

출력

Output a line saying YES if they can be glued together to form a square. Output NO otherwise.