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Problem H
Square Deal

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 1 shows successful constructions for the first two sample inputs.

$\includegraphics[scale=0.6]{sample1.png}$

(1.a)

$\includegraphics[scale=0.6]{sample2.png}$

(1.b)

Figure 1: Constructions for the first two examples

Input

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 $100 \geq H_{j} \geq W_{j} \geq 1$ , and such that $H_{1} \geq H_{2} \geq H_{3}$ .

Output

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

Sample Input 1	Sample Output 1
7 3 7 1 7 3	YES

Sample Input 2	Sample Output 2
9 2 7 4 7 5	YES

Sample Input 3	Sample Output 3
3 1 3 2 3 3	NO

Problem HSquare Deal

Input

Output

Problem H
Square Deal