4190: Vladik and Entertaining Flags

内存限制:256 MB 时间限制:2 S 标准输入输出
题目类型:传统 评测方式:文本比较 上传者:
提交:1 通过:1

题目描述

time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output
In his spare time Vladik estimates beauty of the flags.
Every flag could be represented as the matrix n×m which consists of positive integers.
Let's define the beauty of the flag as number of components in its matrix. We call component a set of cells with same numbers and between any pair of cells from that set there exists a path through adjacent cells from same component. Here is the example of the partitioning some flag matrix into components:
But this time he decided to change something in the process. Now he wants to estimate not the entire flag, but some segment. Segment of flag can be described as a submatrix of the flag matrix with opposite corners at (1,l) and (n,r), where conditions 1≤lrm are satisfied.
Help Vladik to calculate the beauty for some segments of the given flag.
Input
First line contains three space-separated integers n, m, q (1≤n≤10, 1≤m,q≤105)− dimensions of flag matrix and number of segments respectively.
Each of next n lines contains m space-separated integers− description of flag matrix. All elements of flag matrix is positive integers not exceeding 106.
Each of next q lines contains two space-separated integers l, r (1≤lrm)− borders of segment which beauty Vladik wants to know.
Output
For each segment print the result on the corresponding line.
Example
Input
4 5 4
1 1 1 1 1
1 2 2 3 3
1 1 1 2 5
4 4 5 5 5
1 5
2 5
1 2
4 5
Output
6
7
3
4
Note
Partitioning on components for every segment from first test case:


输入样例 复制


输出样例 复制