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December 20, 2011 02:06
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Problem 4 - Project Euler in Java by Jane Ullah
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/** | |
* | |
* @author Jane Ullah | |
* @date 12/19/2011 | |
* @purpose Solving Problem 4 from ProjectEuler.net | |
* | |
*/ | |
public static void main(String[] args) { | |
/*if (isPalindrome(1222321)) { | |
System.out.println("Yes."); | |
}*/ | |
boolean loopControl = false; | |
String palindrome = ""; | |
for (int i = 1000000; !loopControl; i--) { | |
if (isPalindrome(i)) { | |
palindrome = valid3DigitDivisor(i); | |
if ( !(palindrome == "")) { | |
System.out.println("largest palindrome is: " + i); | |
loopControl = true; | |
} | |
} | |
} | |
} | |
//Method to test for palindromes; Separated out for ease of reading. | |
private static boolean isPalindrome(int number){ | |
//converting the number to a String | |
String dummy = "" + number; | |
int index; | |
//Compares the ends of the String and terminates when a single mismatch is found | |
for (index = 1; index <= dummy.length()/2 && ( (dummy.charAt((dummy.length()-index)) == dummy.charAt((index-1)) ) ); index++); | |
return (index > dummy.length()/2); | |
} | |
//Method to check the palindrome's factors and select those that are 3 digit numbers | |
//Returns an empty string if no 3 digit numbers (whose product is the palindrome) were found. | |
private static String valid3DigitDivisor(int palindrome){ | |
int j, loopControl = (int) Math.floor(Math.sqrt(palindrome)); | |
String divisor, quotient, result = ""; | |
for (j = 0; j <= loopControl; j++) { | |
//Catching divisors of the palindrome | |
if ( (palindrome % (j+2) == 0) ) { | |
divisor = "" + (j+2); | |
quotient = "" + (palindrome/(j+2)); | |
//Selecting for numbers (divisor and quotient) that are 3 digits | |
if ( (divisor.length() == 3) && (quotient.length() == 3) ) { | |
result = divisor + " " + quotient; | |
} | |
} | |
} | |
return result; |
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