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Consider a function which, for a given whole number n, returns the number of ones required when writing out all numbers between 0 and n.
For example, f(13)=6. Notice that f(1)=1. What is the next largest n such that f(n)=n?
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public class Test12 {
public static void main(String[] args) {
int n = 2;
while(f(n) != n) {
++n;
}
System.out.println(n);
}
public static int f(int x) {
int sum =0;
for(int i=0; i <=x; i++) {
String s = Integer.toString(i);
for(int j=0; j <s.length(); j++) {
char c = s.charAt(j);
if(c == '1') {
++sum;
}
}
}
return sum;
}
}
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while(f(n) != n) {
++n;
}
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