[feat ]: leetcode 1414

Signed-off-by: Bo-Wei Chen(BWbwchen) <tim.chenbw@gmail.com>

Author: BWbwchen

leetcode/1414_Find-the-Minimum-Number-of-Fibonacci-Numbers-Whose-Sum-Is-K.rs

@@ -0,0 +1,37 @@
+impl Solution {
+    pub fn find_min_fibonacci_numbers(k: i32) -> i32 {
+        let mut fib = Vec::new();
+        fib.push(1);
+        fib.push(1);
+        let mut i = 2;
+
+        loop {
+            let f = fib.get(i-1).unwrap() + fib.get(i-2).unwrap();
+
+            if f > k {
+                break;
+            }
+
+            fib.push(f);
+            i += 1;
+        }
+
+        let mut ret = 0;
+        let mut k = k;
+        for f in fib.iter().rev() {
+            if k - f == 0 {
+                ret += 1;
+                break;
+            } else if k - f > 0 {
+                ret += 1;
+                k -= f;
+            } else {
+                // k - f < 0
+                // try smaller f
+                continue;
+            }
+        }
+
+        ret
+    }
+}