Problem Description

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, $X_1, X_2, ..., X_n$, and the box sizes are $Y_1, Y_2, ..., Y_n$. 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.

Input Format

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 $X_i$ (1 ≤ $X_i$ ≤ $10^9$), the numbers from the task.
The third line contains N positive integers $Y_i$ (1 ≤ $Y_i$ ≤ $10^9$), the numbers from the task.

Output Format

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

Sample Input and Output

Input Sample #1

3
7 9 5
6 13 10

Output Sample #1

DA

Input Sample #2

4
5 3 3 5
10 2 10 10

Output Sample #2

NE

Input Sample #3

4
5 2 3 2
3 8 3 3

Output Sample #3

DA

Notes/Hints

In test cases worth 60% of total points, it will hold N ≤ 9.

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.

见题面 Input 部分

见题面 Output 部分