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It can be seen that the number, 125874, and its double, 251748, contain exactly the same digits, but in a different order.
Find the smallest positive integer, x, such that 2x, 3x, 4x, 5x, and 6x, contain the same digits.
import java.util.*;
class Solution {
public static int retSmallestPositiveInteger() {
for(int i=1; ; i++) {
if(hasSameDigits(i, i*2) && hasSameDigits(i, i*3) && hasSameDigits(i, i*4) && hasSameDigits(i, i*5) && hasSameDigits(i, i*6))
return i;
}
}
private static boolean hasSameDigits(int x, int y) {
char[] xdigits = Integer.toString(x).toCharArray();
char[] ydigits = Integer.toString(y).toCharArray();
Arrays.sort(xdigits);
Arrays.sort(ydigits);
return Arrays.equals(xdigits, ydigits);
}
}import org.junit.Test;
import static org.junit.Assert.assertEquals;
import org.junit.runners.JUnit4;
// TODO: Replace examples and use TDD development by writing your own tests
public class SolutionTest {
@Test
public void testSolution() {
assertEquals(142857, new Solution().retSmallestPositiveInteger());
}
}