JavaAlgorithms/ProjectEuler/Problem04.java
2020-10-24 10:23:28 +00:00

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package ProjectEuler;
/**
* A palindromic number reads the same both ways. The largest palindrome made from the product of
* two 2-digit numbers is 9009 = 91 × 99.
*
* <p>Find the largest palindrome made from the product of two 3-digit numbers.
*
* <p>link: https://projecteuler.net/problem=4
*/
public class Problem04 {
public static void main(String[] args) {
assert solution1(10000) == -1;
assert solution1(20000) == 19591; /* 19591 == 143*137 */
assert solution1(30000) == 29992; /* 29992 == 184*163 */
assert solution1(40000) == 39893; /* 39893 == 287*139 */
assert solution1(50000) == 49894; /* 49894 == 494*101 */
assert solution1(60000) == 59995; /* 59995 == 355*169 */
assert solution1(70000) == 69996; /* 69996 == 614*114 */
assert solution1(80000) == 79897; /* 79897 == 733*109 */
assert solution1(90000) == 89798; /* 89798 == 761*118 */
assert solution1(100000) == 99999; /* 100000 == 813*123 */
}
private static int solution1(int n) {
for (int i = n - 1; i >= 10000; --i) {
String strNumber = String.valueOf(i);
/* Test if strNumber is palindrome */
if (new StringBuilder(strNumber).reverse().toString().equals(strNumber)) {
for (int divisor = 999; divisor >= 100; --divisor) {
if (i % divisor == 0 && String.valueOf(i / divisor).length() == 3) {
return i;
}
}
}
}
return -1; /* not found */
}
}