Three Square

Time limit1sMemory limit512 MB

Summary

Given three rectangles, decide whether they can be rotated and placed without overlap to exactly fill a square.

Level: Medium4 of 10
Topics: Geometry, Implementation, Brute force
Solved: No attempts yet

Problem

Inspired by a Mondrian painting you saw, you want to make a three-pane window out of three colored rectangles of glass. You are given the sizes of the three panes of glass. Can you arrange them into a square? You may rotate the panes, but the panes may not overlap.

The three panes must fill the square exactly, with no gaps.

Input

The input consists of three lines. Each line gives the length and the height of one pane of glass, separated by a space.

Every length and height is an integer between $1$ and $100$ , inclusive.

Output

Print YES on a single line if the three panes can be combined to form a square. Otherwise, print NO.

Examples1

Example 1
Input
```
8 2
1 6
7 6
```
Expected output
```
YES
```