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Monday 25 February 2013

UVA - 880 - Cantor Fractions

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;

public class Main {

    public static void main(String[] args) throws IOException {
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        StringBuilder sb = new StringBuilder();
        String m="";
        while((m=br.readLine())!=null){
            long val=Long.parseLong(m);
            long n =(long) Math.ceil((Math.ceil(Math.sqrt(8*val+1))-1)/2) ;
            long upbound= n*(n+1)/2;
            sb.append(String.format("%d/%d\n",upbound-val+1,(n+val-upbound)));
        }
        System.out.print(sb);
    }
}

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