use ids instead of alphabets (index)

pnpm-lock.yaml

@@ -895,6 +895,9 @@ importers:
       mathjs:
         specifier: ^12.3.2
         version: 12.3.2
+      nanoid:
+        specifier: ^5.0.7
+        version: 5.0.7
       ramda:
         specifier: ^0.29.1
         version: 0.29.1
@@ -14642,6 +14645,12 @@ packages:
     engines: {node: ^10 || ^12 || ^13.7 || ^14 || >=15.0.1}
     hasBin: true
 
+  /nanoid@5.0.7:
+    resolution: {integrity: sha512-oLxFY2gd2IqnjcYyOXD8XGCftpGtZP2AbHbOkthDkvRywH5ayNtPVy9YlOPcHckXzbLTCHpkb7FB+yuxKV13pQ==}
+    engines: {node: ^18 || >=20}
+    hasBin: true
+    dev: false
+
   /natural-compare@1.4.0:
     resolution: {integrity: sha512-OWND8ei3VtNC9h7V60qff3SVobHr996CTwgxubgyQYEpg290h9J0buyECNNJexkFm5sOajh5G116RYA1c8ZMSw==}