diff --git a/ZKP.md b/ZKP.md
index 3c54ba6..ca12f04 100644
--- a/ZKP.md
+++ b/ZKP.md
@@ -1,7 +1,6 @@
-
-
+[](./PDPS.png)
```python
@@ -191,9 +190,8 @@ client_secret_priv, public_element = preprocessing()
73ea3b5e061b6cabed623d1f0f8ba0e2dd7a8ef4
-
-
+ [](./algo_keys.png)
```python
import ecdsa as pyecdsa
@@ -219,8 +217,7 @@ def generate_priv_challenge():
block_id,ro1,ro2,n,s = generate_priv_challenge()
```
-
-
+[](./challenge.png)
```python
def remote_commitment(chall):
@@ -297,8 +294,7 @@ m = ch_resp[0]
383769705759922238814820635125091393536751781330499963960027267106043604344928356482304970868177244815080981113707959740583852333897030317262689421782904643950974779849213407220
-
-
+[](./proof.png)
```python
as1_1= ( y1 * P ) + (-Point(x1.x(),x1.y()))#y1.P-x1