Description: It is a very important day for Katya. She has a test in a programming class. As always, she was given an interesting problem that she solved very fast. Can you solve that problem? You are given $$$n$$$ ordered segments sets. Each segment can be represented as a pair of two integers $$$[l, r]$$$ where $$$l\leq r$$$. Each set can contain an arbitrary number of segments (even $$$0$$$). It is possible that some segments are equal. You are also given $$$m$$$ queries, each of them can be represented as four numbers: $$$a, b, x, y$$$. For each segment, find out whether it is true that each set $$$p$$$ ($$$a\leq p\leq b$$$) contains at least one segment $$$[l, r]$$$ that lies entirely on the segment $$$[x, y]$$$, that is $$$x\leq l\leq r\leq y$$$. Find out the answer to each query. Note that you need to solve this problem online. That is, you will get a new query only after you print the answer for the previous query. Input Format: The first line contains three integers $$$n$$$, $$$m$$$, and $$$k$$$ $$$(1\leq n,m\leq 10^5, 1\leq k\leq 3\cdot10^5)$$$ — the number of sets, queries, and segments respectively. Each of the next $$$k$$$ lines contains three integers $$$l$$$, $$$r$$$, and $$$p$$$ $$$(1\leq l\leq r\leq 10^9, 1\leq p\leq n)$$$ — the limits of the segment and the index of a set, to which this segment belongs. Each of the next $$$m$$$ lines contains four integers $$$a, b, x, y$$$ $$$(1\leq a\leq b\leq n, 1\leq x\leq y\leq 10^9)$$$ — the description of the query. Output Format: For each query, print "yes" or "no" in a new line. Note: For the first query, the answer is negative since the second set does not contain a segment that lies on the segment $$$[2, 3]$$$. In the second query, the first set contains $$$[2, 3]$$$, and the second set contains $$$[2, 4]$$$. In the third query, the first set contains $$$[2, 3]$$$, the second set contains $$$[2, 4]$$$, and the third set contains $$$[2, 5]$$$. In the fourth query, the second set does not contain a segment that lies on the segment $$$[3, 6]$$$. In the fifth query, the second set contains $$$[2, 4]$$$, the third set contains $$$[2, 5]$$$, and the fourth contains $$$[7, 9]$$$.