diff --git a/problems/0055.跳跃游戏.md b/problems/0055.跳跃游戏.md
index 23357f21..80c35c03 100644
--- a/problems/0055.跳跃游戏.md
+++ b/problems/0055.跳跃游戏.md
@@ -119,6 +119,19 @@ class Solution:
         return False
 ```
 
+```python
+## for循环
+class Solution:
+    def canJump(self, nums: List[int]) -> bool:
+        cover = 0
+        if len(nums) == 1: return True
+        for i in range(len(nums)):
+            if i <= cover:
+                cover = max(i + nums[i], cover)
+                if cover >= len(nums) - 1: return True
+        return False
+```
+
 ### Go
 ```Go
 func canJUmp(nums []int) bool {
diff --git a/problems/0121.买卖股票的最佳时机.md b/problems/0121.买卖股票的最佳时机.md
index 63ac5d04..cf17f48d 100644
--- a/problems/0121.买卖股票的最佳时机.md
+++ b/problems/0121.买卖股票的最佳时机.md
@@ -310,6 +310,18 @@ class Solution:
         return dp[(length-1) % 2][1]
 ```
 
+> 动态规划：版本三
+```python
+class Solution:
+    def maxProfit(self, prices: List[int]) -> int:
+        length = len(prices)
+        dp0, dp1 = -prices[0], 0 #注意这里只维护两个常量，因为dp0的更新不受dp1的影响
+        for i in range(1, length):
+            dp1 = max(dp1, dp0 + prices[i])
+            dp0 = max(dp0, -prices[i])
+        return dp1
+```
+
 Go:
 > 贪心法：
 ```Go
diff --git a/problems/0376.摆动序列.md b/problems/0376.摆动序列.md
index 214ff311..f9d3f97f 100644
--- a/problems/0376.摆动序列.md
+++ b/problems/0376.摆动序列.md
@@ -264,6 +264,25 @@ class Solution:
         return max(dp[-1][0], dp[-1][1])
 ```
 
+```python
+class Solution:
+    def wiggleMaxLength(self, nums: List[int]) -> int:
+        # up i作为波峰最长的序列长度
+	# down i作为波谷最长的序列长度
+        n = len(nums)
+	# 长度为0和1的直接返回长度
+	if n<2: return n
+        for i in range(1,n):
+            if nums[i]>nums[i-1]:
+	    # nums[i] 为波峰，1. 前面是波峰，up值不变，2. 前面是波谷，down值加1
+	    # 目前up值取两者的较大值(其实down+1即可，可以推理前一步down和up最多相差1，所以down+1>=up)
+                up = max(up, down+1)
+            elif nums[i]<nums[i-1]:
+	    # nums[i] 为波谷，1. 前面是波峰，up+1，2. 前面是波谷，down不变，取较大值
+                down = max(down, up+1)
+        return max(up, down)
+```
+
 ### Go 
 
 **贪心**
diff --git a/problems/0714.买卖股票的最佳时机含手续费.md b/problems/0714.买卖股票的最佳时机含手续费.md
index 66fb9fb6..faa56d42 100644
--- a/problems/0714.买卖股票的最佳时机含手续费.md
+++ b/problems/0714.买卖股票的最佳时机含手续费.md
@@ -206,13 +206,13 @@ class Solution: # 贪心思路
         result = 0
         minPrice = prices[0]
         for i in range(1, len(prices)):
-            if prices[i] < minPrice:
+            if prices[i] < minPrice: # 此时有更低的价格，可以买入
                 minPrice = prices[i]
-            elif prices[i] >= minPrice and prices[i] <= minPrice + fee: 
-                continue
-            else: 
-                result += prices[i] - minPrice - fee
+            elif prices[i] > (minPrice + fee): # 此时有利润，同时假买入高价的股票，看看是否继续盈利
+                result += prices[i] - (minPrice + fee)
                 minPrice = prices[i] - fee
+            else: # minPrice<= prices[i] <= minPrice + fee， 价格处于minPrice和minPrice+fee之间，不做操作
+                continue
         return result
 ```