Create find-the-minimum-number-of-fibonacci-numbers-whose-sum-is-k.cpp

Author: kamyu104

C++/find-the-minimum-number-of-fibonacci-numbers-whose-sum-is-k.cpp

@@ -0,0 +1,20 @@
+// Time:  O(logk)
+// Space: O(1)
+
+class Solution {
+public:
+    int findMinFibonacciNumbers(int k) {
+        int result = 0, a = 1, b = 1;
+        while (b <= k) {
+            tie(b, a) = pair(a + b, b);
+        }
+        while (k) {
+            if (a <= k) {
+                k -= a;
+                ++result;
+            }
+            tie(a, b) = pair(b - a, a);
+        }
+        return result;
+    }
+};