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PandigitalMultiples.java
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48 lines (42 loc) · 1.39 KB
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package problem38;
/*
Pandigital Multiples
Problem 38
Take the number 192 and multiply it by each of 1, 2, and 3:
192 x 1 = 192
192 x 2 = 384
192 x 3 = 576
By concatenating each product we get the 1 to 9 pandigital, 192384576.
We will call 192384576 the concatenated product of 192 and (1,2,3)
The same can be achieved by starting with 9 and multiplying by 1, 2, 3, 4, and 5,
giving the pandigital, 918273645, which is the concatenated product of 9 and
(1,2,3,4,5).
What is the largest 1 to 9 pandigital 9-digit number that can be formed as the
concatenated product of an integer with (1,2, ... , n) where n > 1?
*/
public class PandigitalMultiples {
public static void main(String[] args) {
// numbers greater than 10000 have too many digits
for (int i = 9876; i >= 0; i--) {
String pandigital = "";
int testNumber = 1;
while (pandigital.length() < 9) {
pandigital += i * testNumber;
testNumber++;
}
if (pandigital.length() == 9) {
boolean found = true;
for (int j = 1; j <= 9; j++) {
if (!pandigital.contains("" + j)) {
found = false;
j = 10; // exit for loop
}
}
if (found) {
System.out.println(pandigital);
i = -1; // exit for loop
}
}
}
}
}