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|5 초||1024 MB||120||19||16||19.753%|
Wu-Fu Street is an incredibly straight street that can be described as a one-dimensional number line, and each building’s location on the street can be represented with just one number. Xiao-Ming the Time Traveler knows that there are n stores of k store-types that had opened, has opened, or will open on the street. The i-th store can be described with four integers: xi, ti, ai, bi, representing the store’s location, the store’s type, the year when it starts its business, and the year when it is closed.
Xiao-Ming the Time Traveler wants to choose a certain year and a certain location on Wu-Fu Street to live in. He has narrowed down his preference list to q location-year pairs. The i-th pair can be described with two integers: li, yi, representing the location and the year of the pair. Now he wants to evaluate the life quality of these pairs. He defines the inconvenience index of a location-year pair to be the inaccessibility of the most inaccessible store-type of that pair. The inaccessibility of a location-year pair to store-type t is defined as the distance from the location to the nearest type-t store that is open in the year. We say the i-th store is open in the year y if ai ≤ y ≤ bi. Note that in some years, Wu-Fu Street may not have all the k store-types on it. In that case, the inconvenience index is defined as −1.
Your task is to help Xiao-Ming find out the inconvenience index of each location-year pair.
The first line of input contains integer numbers n, k, and q: number of stores, number of types and number of queries (1 ≤ n, q ≤ 3 · 105, 1 ≤ k ≤ n).
Next n lines contain descriptions of stores. Each description is four integers: xi, ti, ai, and bi (1 ≤ xi, ai, bi ≤ 108, 1 ≤ ti ≤ k, ai ≤ bi).
Next q lines contain the queries. Each query is two integers: li, and yi (1 ≤ li, yi ≤ 108).
Output q integers: for each query output its the inconvenience index.
4 2 4 3 1 1 10 9 2 2 4 7 2 5 7 4 1 8 10 5 3 5 6 5 9 1 10
4 2 -1 -1
2 1 3 1 1 1 4 1 1 2 6 1 3 1 5 1 7
0 0 -1
1 1 1 100000000 1 1 1 1 1
In the first example there are four stores, two types, and four queries.
In the second example there are two stores, one type, and three queries. Both stores have location 1, and in all queries Xiao-Ming lives at location 1. In first two queries at least one of stores is open, so answer is 0, in third query both stores are closed, so answer is −1.
In the third example there is one store and one query. Distance between locations is 99999999.