Description

Given a positive integer $N$, a position in that integer $P$, and a transition integer $D$, transform $N$ according to the following rules:

1. Count from the right side of $N$ to find the $P^{th}$ digit.
2. If the $P^{th}$ digit is from 0 to 4:
   • Add $D$ to the digit.
   • Replace the $P^{th}$ digit with the units digit of the sum.
   • Replace all digits to the right of the $P^{th}$ digit with 0.
3. If the $P^{th}$ digit is from 5 to 9:
   • Subtract $D$ from the digit.
   • Calculate the absolute value of the difference.
   • Replace the $P^{th}$ digit with the leftmost digit of that absolute value.
   • Replace all digits to the right of the $P^{th}$ digit with 0.

Input Format

There will be 5 sets of data. Each set contains 3 positive integers: $N$, $P$, and $D$.

• $N$ will be less than $10^{15}$.
• $P$ and $D$ will be valid inputs.
• No input will cause an output to have a leading digit of 0.

Output Format

For each set of inputs, print the transformed number. The printed number may not have any spaces between the digits.

Explanation

Example 1: $N=7145032$, $P=2$, $D=8$. The $2^{nd}$ digit from the right is 3 (which is between 0 and 4). Add 8 to it: $3+8=11$. The units digit is 1. Replace 3 with 1 to get 7145012. Replace digits to the right with 0s to get 7145010.

Example 2: $N=1540670$, $P=3$, $D=54$. The $3^{rd}$ digit from the right is 6 (which is between 5 and 9). Subtract 54: $6-54 = -48$. Absolute value is 48. The leftmost digit is 4. Replace 6 with 4 to get 1540470. Replace digits to the right with 0s to get 1540400.

124987 2 3

124950

540670 3 9

540300

7145042 2 8

7145020

124987 2 523

124950

4386709 1 2

4386707