White Rabbit has a rectangular farmland of n*m. In each of the grid there is a kind of plant. The plant in the j-th column of the i-th row belongs the a[i][j]-th type. White Cloud wants to help White Rabbit fertilize plants, but the i-th plant can only adapt to the i-th fertilizer. If the j-th fertilizer is applied to the i-th plant (i!=j), the plant will immediately die. Now White Cloud plans to apply fertilizers T times. In the i-th plan, White Cloud will use k[i]-th fertilizer to fertilize all the plants in a rectangle [x1[i]...x2[i]][y1[i]...y2[i]]. White rabbits wants to know how many plants would eventually die if they were to be fertilized according to the expected schedule of White Cloud.
输入描述:
The first line of input contains 3 integers n,m,T(n*mFor the next n lines, each line contains m integers in range[1,n*m] denoting the type of plant in each grid.For the next T lines, the i-th line contains 5 integers x1,y1,x2,y2,k(1=x1=x2=n,1=y1=y2=m,1=k=n*m)


输出描述:
Print an integer, denoting the number of plants which would die.
示例1

输入

2 2 2
1 2
2 3
1 1 2 2 2
2 1 2 1 1

输出

3
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