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.</p>

Figure C.1: Constructions for the first two examples

입력 형식

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 형식

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

예제 입력 1

7 3
7 1
7 3

예제 출력 1

YES

예제 입력 2

9 2
7 4
7 5

예제 출력 2

YES

예제 입력 3

3 1
3 2
3 3

예제 출력 3

NO