Merge pull request #1316 from 0xff-dev/1414

Add solution and test-cases for problem 1414

Author: 6boris

leetcode/1401-1500/1414.Find-the-Minimum-Number-of-Fibonacci-Numbers-Whose-Sum-Is-K/README.md

@@ -0,0 +1,44 @@
+# [1414.Find the Minimum Number of Fibonacci Numbers Whose Sum Is K][title]
+
+## Description
+Given an integer `k`, return the minimum number of Fibonacci numbers whose sum is equal to `k`. The same Fibonacci number can be used multiple times.
+
+The Fibonacci numbers are defined as:
+
+- `F1 = 1`
+- `F2 = 1`
+- `Fn = Fn-1 + Fn-2 for n > 2.`
+
+It is guaranteed that for the given constraints we can always find such Fibonacci numbers that sum up to `k`.
+
+**Example 1:**
+
+```
+Input: k = 7
+Output: 2 
+Explanation: The Fibonacci numbers are: 1, 1, 2, 3, 5, 8, 13, ... 
+For k = 7 we can use 2 + 5 = 7.
+```
+
+**Example 2:**
+
+```
+Input: k = 10
+Output: 2 
+Explanation: For k = 10 we can use 2 + 8 = 10.
+```
+
+**Example 3:**
+
+```
+Input: k = 19
+Output: 3 
+Explanation: For k = 19 we can use 1 + 5 + 13 = 19.
+```
+
+## 结语
+
+如果你同我一样热爱数据结构、算法、LeetCode，可以关注我 GitHub 上的 LeetCode 题解：[awesome-golang-algorithm][me]
+
+[title]: https://leetcode.com/problems/find-the-minimum-number-of-fibonacci-numbers-whose-sum-is-k
+[me]: https://github.com/kylesliu/awesome-golang-algorithm

leetcode/1401-1500/1414.Find-the-Minimum-Number-of-Fibonacci-Numbers-Whose-Sum-Is-K/Solution.go

@@ -1,5 +1,18 @@
 package Solution
 
-func Solution(x bool) bool {
-return x
+func Solution(k int) int {
+fb := []int{1, 1}
+for i := 2; i < 44 && fb[i-1]+fb[i-2] <= k; i++ {
+fb = append(fb, fb[i-1]+fb[i-2])
+}
+ret := 0
+// 5
+for index := len(fb) - 1; index >= 0 && k > 0; index-- {
+if k < fb[index] {
+continue
+}
+ret += k / fb[index]
+k %= fb[index]
+}
+return ret
 }

leetcode/1401-1500/1414.Find-the-Minimum-Number-of-Fibonacci-Numbers-Whose-Sum-Is-K/Solution_test.go

@@ -10,12 +10,12 @@ func TestSolution(t *testing.T) {
 //	测试用例
 cases := []struct {
 name string
-inputs bool
-expect bool
+inputs int
+expect int
 }{
-{"TestCase", true, true},
-{"TestCase", true, true},
-{"TestCase", false, false},
+{"TestCase1", 7, 2},
+{"TestCase2", 10, 2},
+{"TestCase3", 19, 3},
 }
 
 //	开始测试
@@ -30,10 +30,10 @@ func TestSolution(t *testing.T) {
 }
 }
 
-//压力测试
+// 压力测试
 func BenchmarkSolution(b *testing.B) {
 }
 
-//使用案列
+// 使用案列
 func ExampleSolution() {
 }