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문제

Harry Potter has damaged his magic wand in a fight with Lord Voldemort. He has decided to get a new wand in Olivander's wand shop. On the floor of the shop, he saw N wands and N wand boxes. The lengths of the wands are, respectively, X1, X2, ...Xn, and the box sizes are Y1,Y2, ...Yn. A wand of length X can be placed in a box of size Y if X ≤ Y. Harry wants to know if he can place all the wands in boxes so that each box contains exactly one wand. Help him solve this difficult problem.

입력

The first line of input contains the positive integer N (1 ≤ N ≤ 100), the number from the task.

The second line contains N positive integers Xi (1 ≤ Xi ≤ 109), the numbers from the task.

The third line contains N positive integers Yi (1 ≤ Yi ≤ 109), the numbers from the task.

출력

If Harry can place all the wands in boxes, output “DA” (Croatian for yes), otherwise output “NE” (Croatian for no).

예제 입력 1

3
7 9 5
6 13 10

예제 출력 1

DA

예제 입력 2

4
5 3 3 5
10 2 10 10

예제 출력 2

NE

예제 입력 3

4
5 2 3 2
3 8 3 3

예제 출력 3

DA

힌트

Clarification of the first test case: Harry can place the wands in boxes. For example, he can place the wand of length 5 in a box of size 6, wand of length 7 in a box of size 13, and wand of length 9 in a box of size 10.

Clarification of the second test case: Harry can’t place the wands in boxes because the box of size 2 can’t fit any of the wands.