···

       
46
       
46
       
 
       
While it's technically possible to assign a unique ID to every record, doing so

     

       
47
       
47
       
 
       
randomly introduces a high probability of collisions.

     

       
48
       
48
       
 
       


     

       
49
       
49
       
-
       
- At around 30,000 generated IDs, there's already a 50% chance of a collision

     

       
50
       
50
       
-
       
- At around 42,000, the chance of at least one duplicate reaches 99.9%

     

       
49
       
49
       
+
       
- At around 35,000 generated IDs, there's already a 50% chance of a collision

     

       
50
       
50
       
+
       
- At around 90,000, the chance of at least one duplicate reaches 99%

     

       
51
       
51
       
 
       


     

       
52
       
52
       
 
       
So even though the math is correct, the logic fails under the randomness constraint.

     

       
53
       
53