Surprisingly there are only three numbers that can be written as the sum of fourth powers of their digits:
1634 = 14 + 64 + 34 + 44
8208 = 84 + 24 + 04 + 84
9474 = 94 + 44 + 74 + 44
As 1 = 14 is not a sum it is not included.
The sum of these numbers is 1634 + 8208 + 9474 = 19316.
Find the sum of all the numbers that can be written as the sum of fifth powers of their digits.
import java.util.HashMap;
import java.util.Map;
public class DigitFifthPowers {
Map<Integer, Double> map = new HashMap<Integer, Double>();
public static void main(String[] args) {
long before = System.currentTimeMillis();
new DigitFifthPowers().calculate();
System.out.println("elapsed time is : " + (System.currentTimeMillis() - before));
}
private void calculate() {
int count = 0;
for (int i = 0; i < 10; i++) {
map.put(i, Math.pow(i, 5));
}
System.out.print("the numbers that can be written as the sum of fifth powers of their digits is : ");
for (int i = 2; i < 1000000; i++) {
if (isThisIt(i)) {
System.out.print(i + " ");
count += i;
}
}
System.out.println();
System.out.println(count);
}
private boolean isThisIt(int i) {
Double sumOfDigits = 0d;
int temp = i;
while (temp > 0) {
sumOfDigits += map.get(temp % 10);
temp /= 10;
}
return sumOfDigits == i;
}
}
the numbers that can be written as the sum of fifth powers of their digits is : 4150 4151 54748 92727 93084 194979
443839
elapsed time is : 111