in round2, 2009 problem A.Crazy Rows

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Problem

You are given an *N* x *N* matrix with 0 and 1 values. You can swap any two
*adjacent* rows of the matrix.

Your goal is to have all the 1 values in the matrix below or on the main
diagonal. That is, for each X where 1 ≤ X ≤ N, there must be no 1 values in
row X that are to the right of column X.

Return the minimum number of row swaps you need to achieve the goal.

Input

The first line of input gives the number of cases, *T*. *T* test cases
follow.
The first line of each test case has one integer, *N*. Each of the
next *N*lines contains
*N* characters. Each character is either 0 or 1.

Output

For each test case, output

Case #X: K

where *X* is the test case number, starting from 1, and *K* is the minimum
number of row swaps needed to have all the 1 values in the matrix below or
on the main diagonal.

You are guaranteed that there is a solution for each test case.

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my question is in sample in/out

input

1110
1100
1100
1000

output # 4

how can output get the "4"

isn't it five??

please , someone let me know each step for that

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