Just another update

Task/Zeckendorf-number-representation/Java/zeckendorf-number-representation-2.java

@@ -0,0 +1,41 @@
+import java.util.ArrayList;
+import java.util.List;
+
+public class Zeckendorf {
+
+    private List<Integer> getFibList(final int maxNum, final int n1, final int n2, final List<Integer> fibs){
+        if(n2 > maxNum) return fibs;
+
+        fibs.add(n2);
+
+        return getFibList(maxNum, n2, n1 + n2, fibs);
+    }
+
+    public String getZeckendorf(final int num) {
+        if (num <= 0) return "0";
+
+        final List<Integer> fibs = getFibList(num, 1, 2, new ArrayList<Integer>(){{ add(1); }});
+
+        return getZeckString("", num, fibs.size() - 1, fibs);
+    }
+
+    private String getZeckString(final String zeck, final int num, final int index, final List<Integer> fibs){
+        final int curFib = fibs.get(index);
+        final boolean placeZeck = num >= curFib;
+
+        final String outString = placeZeck ? zeck + "1" : zeck + "0";
+        final int outNum = placeZeck ? num - curFib : num;
+
+        if(index == 0) return outString;
+
+        return  getZeckString(outString, outNum, index - 1, fibs);
+    }
+
+    public static void main(final String[] args) {
+        final Zeckendorf zeckendorf = new Zeckendorf();
+
+        for(int i =0; i <= 20; i++){
+            System.out.println("Z("+ i +"):\t" + zeckendorf.getZeckendorf(i));
+        }
+    }
+}