Created
April 25, 2017 08:35
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Find nearest integer palindrome in Java (best algorithm)
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public class NearestIntegerPalindrome { | |
public static int findClosestPalindrome(int x) { | |
if (x < 0) { | |
return -1; | |
} | |
//special case: 100 -> 99 palindrome is closest | |
if (x != 1 && isPower10(x)) { | |
return x - 1; | |
} | |
String value = x + ""; | |
int inputLength = value.length(); | |
//first half | |
String first1 = value.substring(0, ((inputLength + 1) / 2)); | |
int palindrome1 = Integer.parseInt(reflect(first1, inputLength / 2)); | |
//if the "lower" palindrome is found, increase by 1 or if the "higher" palindrome is found, decrease by 1 | |
int twiddleDirection = palindrome1 <= x ? 1 : -1; | |
String first2 = (Integer.parseInt(first1) + twiddleDirection) + ""; | |
int palindrome2 = Integer.parseInt(reflect(first2, inputLength / 2)); | |
//if palindrome2 has more of a distance than palindrome1, return palindrome1 (smallest) | |
return Math.abs(x - palindrome1) <= Math.abs(palindrome2 - x) ? palindrome1 : palindrome2; | |
} | |
public static String reflect(String left, int n) { | |
String reverse = new StringBuilder(left.substring(0, n)).reverse().toString(); | |
return left + reverse; | |
} | |
public static boolean isPower10(int x) { | |
while (x > 9 && x % 10 == 0) | |
x /= 10; | |
return x == 1; | |
} | |
public static void main(String[] args) { | |
System.out.println(findClosestPalindrome(0)); | |
System.out.println(findClosestPalindrome(1)); | |
System.out.println(findClosestPalindrome(6)); | |
System.out.println(findClosestPalindrome(9)); | |
System.out.println(findClosestPalindrome(10)); | |
System.out.println(findClosestPalindrome(11)); | |
System.out.println(findClosestPalindrome(12)); | |
System.out.println(findClosestPalindrome(71)); | |
System.out.println(findClosestPalindrome(74)); | |
System.out.println(findClosestPalindrome(79)); | |
System.out.println(findClosestPalindrome(99)); | |
System.out.println(findClosestPalindrome(100)); | |
System.out.println(findClosestPalindrome(101)); | |
System.out.println(findClosestPalindrome(999)); | |
System.out.println(findClosestPalindrome(1993)); | |
System.out.println(findClosestPalindrome(1999)); | |
System.out.println(findClosestPalindrome(9900)); | |
System.out.println(findClosestPalindrome(999000)); | |
} | |
} |
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