package com.thealgorithms.maths;
/**
* A positive integer is considered uniform if all
* of its digits are equal. For example, 222 is uniform,
* while 223 is not.
* Given two positive integers a and b, determine the
* number of uniform integers between a and b.
*/
public final class UniformNumbers {
// Private constructor to prevent instantiation of the utility class
private UniformNumbers() {
// Prevent instantiation
}
/**
* This function will find the number of uniform numbers
* from 1 to num
* @param num upper limit to find the uniform numbers
* @return the count of uniform numbers between 1 and num
*/
public static int uniformNumbers(int num) {
String numStr = Integer.toString(num);
int uniformCount = (numStr.length() - 1) * 9;
int finalUniform = Integer.parseInt(String.valueOf(numStr.charAt(0)).repeat(numStr.length()));
if (finalUniform <= num) {
uniformCount += Integer.parseInt(String.valueOf(numStr.charAt(0)));
} else {
uniformCount += Integer.parseInt(String.valueOf(numStr.charAt(0))) - 1;
}
return uniformCount;
}
/**
* This function will calculate the number of uniform numbers
* between a and b
* @param a lower bound of range
* @param b upper bound of range
* @return the count of uniform numbers between a and b
*/
public static int countUniformIntegers(int a, int b) {
if (b > a && b > 0 && a > 0) {
return uniformNumbers(b) - uniformNumbers(a - 1);
} else if (b == a) {
return 1;
} else {
return 0;
}
}
}