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# Palindrome Numbers

Problem Description

Given two integers A and B which represent an integer range [A, B].
Find the maximum number of distinct palindromic integers we can take from the given range,
such that the absolute difference between any two integers doesn't exceed C.

Problem Constraints
1 <= A <= B <= 105
1 <= C <= 105

Input Format
The first argument is an integer A.
The second argument is an integer B.
The third argument is an integer C.

Output Format
Return an integer.

Example Input
Input 1:
```A = 80
B = 110
C = 10
```

Input 2:

```A = 1
B = 10
C = 10
```

Example Output
Output 1:
`2`

Output 2:

`9`

Example Explanation
Explanation 1:
```The plaindromic integers are 88, 99, 101.
We will pick 99, 101.```

Explanation 2:

```The plaindromic integers are 1, 2, 3, 4, 5, 6, 7, 8, 9.
We can pick all the palindrome integers.```

NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a question? Checkout Sample Codes for more details.
Hints
• Hint 1
• Solution Approach
• Complete Solution

## Discussion

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