T-shirts

During the Programming Olympiad finals, each of the $N$ contestants is always given a t-shirt as is customary. However, the judges are sometimes a bit stressed out with making last minute changes to the problem sets (only changes, mind you -- the judges never wait until the day before the contest to make a problem).

This means that when the judges order the t-shirts, they may not look that carefully on what t-shirt sizes the contestants have. After all, who can distinguish a size XS t-shirt from an XL t-shirt? The judges certainly couldn't, but it appears that the contestants can when they try putting their new t-shirts on. Since the judges never learn to plan properly, this will surely be a problem next year as well. But right now it is your problem.

While each contestant has a preferred size, they can wear t-shirts in an interval of sizes. More specifically, the $i$:th contestant (starting from 0) can wear a t-shirt in any size at least $L\[i]$ but at most $H\[i]$ (both limits inclusive). Here, each size has been assigned an integer so that a higher integer means a larger size. Your task is to assign t-shirts to the contestants, so that as many contestants as possible will get a t-shirt that he or she can wear. The judges have ordered exactly $N$ t-shirts, and the size of the $i$:th t-shirt is $T\[i]$.

The sample judge reads input in the following format:

• line $1$: N
• line $2$: L[0] L[1] .. L[N - 1]
• line $3$: H[0] H[1] .. H[N - 1]
• line $4$: T[0] T[1] .. T[N - 1]

The judge writes a single line containing the return value of tshirt(N, L, H, T).

• $1 \le N \le 100\\,000$
• $0 \le T\[i] \le 10^9$