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

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+import java.util.*;
+
+class Zeckendorf
+{
+  public static String getZeckendorf(int n)
+  {
+    if (n == 0)
+      return "0";
+    List<Integer> fibNumbers = new ArrayList<Integer>();
+    fibNumbers.add(1);
+    int nextFib = 2;
+    while (nextFib <= n)
+    {
+      fibNumbers.add(nextFib);
+      nextFib += fibNumbers.get(fibNumbers.size() - 2);
+    }
+    StringBuilder sb = new StringBuilder();
+    for (int i = fibNumbers.size() - 1; i >= 0; i--)
+    {
+      int fibNumber = fibNumbers.get(i);
+      sb.append((fibNumber <= n) ? "1" : "0");
+      if (fibNumber <= n)
+        n -= fibNumber;
+    }
+    return sb.toString();
+  }
+
+  public static void main(String[] args)
+  {
+    for (int i = 0; i <= 20; i++)
+      System.out.println("Z(" + i + ")=" + getZeckendorf(i));
+  }
+}