diff --git a/problems/1207.独一无二的出现次数.md b/problems/1207.独一无二的出现次数.md
index afc93eda..1a7a0019 100644
--- a/problems/1207.独一无二的出现次数.md
+++ b/problems/1207.独一无二的出现次数.md
@@ -98,7 +98,8 @@ class Solution {
 ```
 
 Python：
-```python
+```python 
+# 方法 1: 数组在哈西法的应用
 class Solution:
     def uniqueOccurrences(self, arr: List[int]) -> bool:
         count = [0] * 2002
@@ -113,6 +114,26 @@ class Solution:
                     return False
         return True
 ```
+```python 
+# 方法 2： map 在哈西法的应用
+class Solution:
+    def uniqueOccurrences(self, arr: List[int]) -> bool:
+        ref = dict()
+
+        for i in range(len(arr)):
+            ref[arr[i]] = ref.get(arr[i], 0) + 1
+
+        value_list = sorted(ref.values())
+
+        for i in range(len(value_list) - 1):
+            if value_list[i + 1] == value_list[i]:
+                return False 
+
+        return True 
+
+```
+
+
 Go：
 
 JavaScript：
diff --git a/problems/二叉树理论基础.md b/problems/二叉树理论基础.md
index 387aa64f..9541baaf 100644
--- a/problems/二叉树理论基础.md
+++ b/problems/二叉树理论基础.md
@@ -59,6 +59,7 @@
 * 它的左、右子树也分别为二叉排序树
 
 下面这两棵树都是搜索树
+
 <img src='https://img-blog.csdnimg.cn/20200806190304693.png' width=600> </img></div>
 
 
diff --git a/problems/算法模板.md b/problems/算法模板.md
index 24d3e6bd..59de69df 100644
--- a/problems/算法模板.md
+++ b/problems/算法模板.md
@@ -803,6 +803,46 @@ Java：
 
 
 Python：
+## 二分查找法 
+```python 
+def binarysearch(nums, target):
+    low = 0
+    high = len(nums) - 1
+    while (low <= high):
+        mid = (high + low)//2
+
+        if (nums[mid] < target):
+            low = mid + 1
+            
+        if (nums[mid] > target):
+            high = mid - 1
+            
+        if (nums[mid] == target):
+            return mid
+
+    return -1
+```
+
+## KMP
+
+```python 
+def kmp(self, a, s):
+    # a: length of the array
+    # s: string 
+    
+    next = [0]*a
+    j = 0    
+    next[0] = 0
+ 
+    for i in range(1, len(s)):
+        while j > 0 and s[j] != s[i]:
+            j = next[j - 1]
+            
+        if s[j] == s[i]:
+            j += 1
+        next[i] = j
+    return next 
+```
 
 
 Go：