diff --git a/README.md b/README.md
index b64bfdc..5380cb9 100644
--- a/README.md
+++ b/README.md
@@ -12,7 +12,15 @@ conda activate pt
 # 安装 pytorch v1.12版本已经正式支持了用于mac m1芯片gpu加速的mps后端
 conda install pytorch::pytorch torchvision torchaudio -c pytorch -y
 
-pip install -r requirements
+pip install -r requirements.txt
+```
+
+## MAC
+```shell
+# 安装 pytorch v1.12版本已经正式支持了用于mac m1芯片gpu加速的mps后端
+conda install pytorch torchvision torchaudio pytorch-cuda=12.1 -c pytorch -c nvidia
+
+pip install -r requirements.txt
 ```
 
 ## gpt4free
diff --git a/linear regression/1x.py b/linear regression/1x.py
index 0b1b93a..b85f3e2 100644
--- a/linear regression/1x.py	
+++ b/linear regression/1x.py	
@@ -42,7 +42,7 @@ def run():
     learning_rate = 0.0001
     initial_b = 0.0
     initial_w = 0.0
-    num_iterations = 100000
+    num_iterations = 5000
     [b, w] = gradient_descent_runner(points, initial_b, initial_w, learning_rate, num_iterations)
     print("After gradient descent at b={0},w={1},error={2}".format(b.item(), w.item(),
                                                                    compute_error_for_line_given_points(b, w, points)))
diff --git a/linear regression/print1.png b/linear regression/print1.png
index c2933e1..1b6dbdd 100644
Binary files a/linear regression/print1.png and b/linear regression/print1.png differ
diff --git a/requirements.txt b/requirements.txt
index 60e304e..2e61966 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -1,7 +1,4 @@
-pytorch::pytorch
-torchvision
-torchaudio
-pandas
-matplotlib
 numpy
-pillow
\ No newline at end of file
+pandas
+pillow
+matplotlib