White Sheet

Description:

Input:

The first line of the input contains four integers $$$x_1, y_1, x_2, y_2$$$ $$$(0 \le x_1 < x_2 \le 10^{6}, 0 \le y_1 < y_2 \le 10^{6})$$$ — coordinates of the bottom left and the top right corners of the white sheet.

The second line of the input contains four integers $$$x_3, y_3, x_4, y_4$$$ $$$(0 \le x_3 < x_4 \le 10^{6}, 0 \le y_3 < y_4 \le 10^{6})$$$ — coordinates of the bottom left and the top right corners of the first black sheet.

The third line of the input contains four integers $$$x_5, y_5, x_6, y_6$$$ $$$(0 \le x_5 < x_6 \le 10^{6}, 0 \le y_5 < y_6 \le 10^{6})$$$ — coordinates of the bottom left and the top right corners of the second black sheet.

The sides of each sheet of paper are parallel (perpendicular) to the coordinate axes.

Output:

If some part of the white sheet can be seen from the above after the two black sheets are placed, print "YES" (without quotes). Otherwise print "NO".

Sample Input:

2 2 4 4
1 1 3 5
3 1 5 5

Sample Output:

NO

Sample Input:

3 3 7 5
0 0 4 6
0 0 7 4

Sample Output:

YES

Sample Input:

5 2 10 5
3 1 7 6
8 1 11 7

Sample Output:

YES

Sample Input:

0 0 1000000 1000000
0 0 499999 1000000
500000 0 1000000 1000000

Sample Output:

YES

Note:

In the first example the white sheet is fully covered by black sheets.

In the second example the part of the white sheet can be seen after two black sheets are placed. For example, the point $$$(6.5, 4.5)$$$ lies not strictly inside the white sheet and lies strictly outside of both black sheets.