Harry Potter broke his wand while fighting Voldemort, so he decided to buy a new one at Olivander's wand shop. On the shop floor lie N wands and N wand boxes. The wand lengths are X1,X2,…,XN and the box sizes are Y1,Y2,…,YN.
A wand of length X can go into a box of size Y if X≤Y. Harry wants to know whether he can put all N wands away so that each box holds exactly one wand. Help him decide.
Input
The first line contains N, the number of wands and boxes. (1≤N≤100)
The second line contains the wand lengths X1,X2,…,XN, separated by spaces. (1≤Xi≤109)
The third line contains the box sizes Y1,Y2,…,YN, separated by spaces. (1≤Yi≤109)
Output
Print DA if Harry can put every wand into a box, and NE otherwise. DA and NE are Croatian for yes and no.
Hint
In the first example every wand fits. Harry can put the wand of length 5 into the box of size 6, the wand of length 7 into the box of size 13, and the wand of length 9 into the box of size 10.
In the second example no wand fits into the box of size 2, so he cannot put all of them away.