vault backup: 2023-11-10 17:46:05

.obsidian/workspace.json

@@ -13,7 +13,7 @@
             "state": {
               "type": "markdown",
               "state": {
-                "file": "4a1s/MFES/PL - Aula 1.md",
+                "file": "4a1s/MFES/PL - Aula 7.md",
                 "mode": "source",
                 "source": false
               }
@@ -97,7 +97,7 @@
             "state": {
               "type": "backlink",
               "state": {
-                "file": "4a1s/MFES/PL - Aula 1.md",
+                "file": "4a1s/MFES/PL - Aula 7.md",
                 "collapseAll": false,
                 "extraContext": false,
                 "sortOrder": "alphabetical",
@@ -114,7 +114,7 @@
             "state": {
               "type": "outgoing-link",
               "state": {
-                "file": "4a1s/MFES/PL - Aula 1.md",
+                "file": "4a1s/MFES/PL - Aula 7.md",
                 "linksCollapsed": false,
                 "unlinkedCollapsed": true
               }
@@ -137,7 +137,7 @@
             "state": {
               "type": "outline",
               "state": {
-                "file": "4a1s/MFES/PL - Aula 1.md"
+                "file": "4a1s/MFES/PL - Aula 7.md"
               }
             }
           },
@@ -170,8 +170,10 @@
       "digitalgarden:Digital Garden Publication Center": false
     }
   },
-  "active": "3ca14d4a6c304083",
+  "active": "9853b375f7893cb9",
   "lastOpenFiles": [
+    "4a1s/index.md",
+    "4a1s/MFES/PL - Aula 1.md",
     "4a1s/MFES/PL - Aula 7.md",
     "4a1s/MFES/PL - Aula 6.md",
     "4a1s/DAA/PL - Project.md",
@@ -197,8 +199,6 @@
     "Excalidraw/Drawing 2023-10-25 12.16.38.excalidraw.md",
     "4a1s/MFES/PL - Aula 3.md",
     "4a1s/MFES/PL - Aula 4.md",
-    "4a1s/MFES/PL - Aula 1.md",
-    "4a1s/RAS/Notas Projeto RAS.md",
     "Images/Pasted image 20231018121319.png",
     "Images/Pasted image 20231018120412.png",
     "Images/Pasted image 20231018120219.png",

4a1s/MFES/PL - Aula 7.md

@@ -69,3 +69,66 @@ pred insert[n : Node] {
 
 
 ```
+
+//Solved
+```c
+// Recall the hash table Alloy model,
+// now with mutable lists inside the buckets.
+
+sig Bucket {
+	var head : lone Node
+}
+sig Node {
+	key : one Key,
+	var prox : lone Node
+}
+sig Key {
+	hash : one Hash
+}
+sig Hash {}
+
+// Specify the operation of inserting a node
+// in the hash table. The node should be 
+// inserted at the head of a bucket.
+// If the operation only works well when the
+// hash of the new node does not exist in the
+// table you get Two points. If it always 
+// works well you get Five points. Use the
+// respective commands to check how many
+// points you have.
+
+pred nodeToHead[n : Node]{
+  	//node not in hash
+  	n.key.hash not in Bucket.head.key.hash
+    
+	some b : Bucket | {
+		b.head= none and b.head' = n  //put node in the head
+        all x : Bucket - b | x.head' = x.head  //everything remains the same
+    	all y : Node | y.prox' = y.prox //all nodes remain the same
+	}
+  
+}
+
+
+pred nodeToTail[n: Node]{
+  //node not in linked lists of buckets
+  n not in Bucket.head.*prox
+  
+  //node in hash
+  n.key.hash in Bucket.head.key.hash
+  
+  some b : Bucket | {
+      b.head.key.hash = n.key.hash and {  //same hash
+        (b.head' = n and n.prox' = b.head)  //new head
+        all x : Bucket - b | x.head' = x.head //all other buckets remain the same
+        all y : Node - n | y.prox' = y.prox //all other nodes remain the same
+       }
+  }
+}
+
+pred insert[n : Node] {
+	nodeToHead[n] or nodeToTail [n] 
+}
+```
+
+http://alloy4fun.inesctec.pt/mnvLbxeXWRuhsnQSd