#3855. Light

内存限制:64 MiB 时间限制:9 Sec

题目描述

Teacher Mai has a board of n rows and m columns. There is a light in each cell.
He can flip some lights: if this light is on, turn it off, else turn it on.
He can choose a cell(i,j), and he has following two operations:
1. Flip the light on the cells which share a common edge with cell(i,j).
2. Flip the light on the cells which share a common edge with cell(i,j) and cell(i,j).
  
You are given the initial state of board. Output the minimum operations to turn off the all the lights.

输入格式

There are multiple test cases, terminated by a line "0 0".
For each test case, the first line contains two integers n,m(1<=n,m<=10).
In following n lines, each line contains a string consisting of m characters, representing the initial state(0 means off, 1 means on).

输出格式

For each case, output "Case #k: ans" first, where k is the case number counting from 1, ans is the minimum operations.

样例

样例输入


			
3 3
111
111
111
3 3
000
010
000
0 0

样例输出


			
Case #1: 3
Case #2: 2

数据范围与提示