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>>>please help me I need to solve it queckly
this questio..
Rotating Rings
Any square grid can be viewed as one or more rings, one inside the other. For
example, as shown in figure (a), a 5 ∗ 5 grid is made of three rings, numbered
1,2 and 3 (from outside to inside.) A square grid of size N is said to be
sorted, if it includes the values from 1 to N2 in a row-major order, as shown
in figure (b) for N = 4. We would like to determine if a given square grid can
be sorted by only rotating its rings. For example, the grid in figure (c) can
be sorted by rotating the first ring two places counter-clockwise, and rotating
the second ring one place in the clockwise direction.
Input Format:
Your program will be tested on one or more test cases. The first input line
of a test case is an integer N which is the size of the grid. N input lines will
follow, each line made of N integer values specifying the values in the grid
in a row-major order. Note than 0 < N ≤ 1, 000 and grid values are natural
numbers less than or equal to 1,000,000.
The end of the test cases is identified with a dummy test case with N = 0.
Output Format:
For each test case, output the result on a single line using the following format:
Where k is the test case number (starting at 1,)  is a single space, and result
is "YES" or "NO" (without the double quotes.)
Sample Input/Output:
input OUTPUT
4 1. YES
9 5 1 2 2. NO
13 7 11 3
14 6 10 4
15 16 12 8
1 2 3
5 6 7
8 9 4
I hope to understand this question and help me to solve it by write code it in c++ language

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