403026: GYM100971 G Repair

Alex is repairing his country house. He has a rectangular metal sheet of size a × b. He has to cut two rectangular sheets of sizes a₁ × b₁ and a₂ × b₂ from it. All cuts must be parallel to the sides of the initial sheet. Determine if he can do it.

The first line contains two space-separated integers a and b (1 ≤ a, b ≤ 10⁹) — the sizes of the initial sheet.

The second line contains two space-separated integers a₁ and b₁ (1 ≤ a₁, b₁ ≤ 10⁹) — the sizes of the first sheet to cut out.

The third line contains two space-separated integers a₂ and b₂ (1 ≤ a₂, b₂ ≤ 10⁹) — the sizes of the second sheet to cut out.

Output «YES» (without quotes), if it's possible to cut two described sheets from the initial sheet, or «NO» (without quotes), if it's not possible.

12 20
14 7
5 6

YES

12 20
11 9
20 7

NO