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Task/Zeckendorf-number-representation/Sidef/zeckendorf-number-representation.sidef

@@ -0,0 +1,21 @@
+func fib(n) is cached {
+    n < 2 ? 1
+          : (fib(n-1) + fib(n-2));
+}
+
+func zeckendorf(n) {
+    n == 0 && return '0';
+    var i = 1;
+    ++i while (fib(i) <= n);
+    gather {
+        while (--i > 0) {
+            var f = fib(i);
+            f > n ? (take '0')
+                  : (take '1'; n -= f);
+        }
+    }.join('');
+}
+
+range(0, 20).each { |n|
+    printf("%4d: %8s\n", n, zeckendorf(n))
+}