CF560B.Gerald is into Art

Gerald bought two very rare paintings at the Sotheby's auction and he now wants to hang them on the wall. For that he bought a special board to attach it to the wall and place the paintings on the board. The board has shape of an _a_1 × _b_1 rectangle, the paintings have shape of a _a_2 × _b_2 and _a_3 × _b_3 rectangles.

Since the paintings are painted in the style of abstract art, it does not matter exactly how they will be rotated, but still, one side of both the board, and each of the paintings must be parallel to the floor. The paintings can touch each other and the edges of the board, but can not overlap or go beyond the edge of the board. Gerald asks whether it is possible to place the paintings on the board, or is the board he bought not large enough?

杰拉尔德在苏富比拍卖会上购买了两幅极为罕见的画作，现在他想把它们挂在墙上。为此，他专门买了一块木板，将其固定在墙上，并将画作放置在这块木板上。该木板呈 $a_1 \times b_1$ 的矩形，两幅画作则分别呈 $a_2 \times b_2$ 和 $a_3 \times b_3$ 的矩形。

由于这两幅画作属于抽象艺术风格，因此具体如何旋转并不重要；但木板及每幅画作必须保证有一条边与地面平行。画作之间、画作与木板边缘之间可以相互接触，但不能重叠，也不能超出木板的边界。杰拉尔德想知道：能否将这两幅画作放置在这块木板上？还是说他买的这块木板尺寸不够大？

The first line contains two space-separated numbers _a_1 and _b_1 — the sides of the board. Next two lines contain numbers _a_2, _b_2, _a_3 and _b_3 — the sides of the paintings. All numbers a__i, b__i in the input are integers and fit into the range from 1 to 1000.

第一行包含两个以空格分隔的数 $a_1$ 和 $b_1$ —— 表示画板的两条边长。接下来两行分别包含数字 $a_2,\ b_2,\ a_3$ 和 $b_3$ —— 表示两幅画作的边长。输入中的所有数字 $a_i,\ b_i$ 均为整数，且均在 $1$ 到 $1000$ 的范围内。

If the paintings can be placed on the wall, print "YES" (without the quotes), and if they cannot, print "NO" (without the quotes).

如果画作可以放置在墙上，则输出 “YES”（不带引号）；否则输出 “NO”（不带引号）。

That's how we can place the pictures in the first test:

And that's how we can do it in the third one.

这就是我们在第一个测试中放置图片的方式：

而这是我们在第三个测试中实现的方式：