【300.最长上升子序列】【Python】 (labuladong#507)

* add python

* add python

* add python

Co-authored-by: LockyGuo <gh19920419@gmail.com>
Co-authored-by: labuladong <labuladong@foxmail.com>

Author: 3 people

动态规划系列/动态规划设计：最长递增子序列.md

@@ -217,6 +217,51 @@ public int lengthOfLIS(int[] nums) {
 
 ======其他语言代码======
 
+```python 动态规划
+class Solution:
+    def lengthOfLIS(self, nums: List[int]) -> int:
+        n = len(nums)
+        f = [1] * (n)
+
+        for i in range(n):
+            for j in range(i):
+                if nums[j]  < nums[i]:
+                    f[i] = max(f[i], f[j] + 1)
+        
+        res = 0
+        for i in range(n):
+            res = max(res, f[i])
+        return res
+```
+
+```python 二分查找
+class Solution:
+    def lengthOfLIS(self, nums: List[int]) -> int:
+        stack = []
+
+        def find_index(num):
+            l, r = 0, len(stack)
+            while l < r:
+                mid = l + r >> 1
+                if stack[mid] >= num:
+                    r = mid 
+                else:
+                    l = mid + 1
+
+            return r
+
+
+        for num in nums:
+            if not stack or num > stack[-1]:
+                stack.append(num)
+            else:
+                position = find_index(num)
+                stack[position] = num
+
+        return len(stack)
+```
+
+
 [Kian](https://github.com/KianKw/) 提供 C++ 代码
 
 ```c++
@@ -257,3 +302,4 @@ public:
     }
 };
 ```
+