vibe coding is the best

src/rooms.ts

@@ -4,10 +4,10 @@ export interface RoomSettings {
   mode: "individual" | "teams";
   numTeams: number;
   teamNames: string[];
-  playerPickTeam: boolean;   // players can self-assign teams
-  showBuzzOrder: boolean;    // show full order vs first only
-  buzzerLockout: boolean;    // lock after first buzz
-  timerSeconds: number;      // 0 = no timer
+  playerPickTeam: boolean;
+  showBuzzOrder: boolean;
+  buzzerLockout: boolean;
+  timerSeconds: number;
 }
 
 export interface Player {
@@ -31,13 +31,28 @@ export interface Room {
   settings: RoomSettings;
   players: Map<string, Player>;
   buzzerState: BuzzerState;
-  locked: boolean;          // room locked to new joins
-  teamLocked: boolean;      // team selection locked
+  locked: boolean;
+  teamLocked: boolean;
 }
 
-export const rooms    = new Map<string, Room>();
+export const rooms     = new Map<string, Room>();
 export const wsToPlayer = new Map<ServerWebSocket<unknown>, { roomId: string; playerId: string }>();
 
+// Infinite Greek alphabet: Alpha, Beta, ... Omega, Alpha II, Beta II, ...
+const GREEK = ["Alpha","Beta","Gamma","Delta","Epsilon","Zeta","Eta","Theta","Iota","Kappa","Lambda","Mu","Nu","Xi","Omicron","Pi","Rho","Sigma","Tau","Upsilon","Phi","Chi","Psi","Omega"];
+export function greekName(i: number): string {
+  const cycle = Math.floor(i / GREEK.length);
+  const name   = GREEK[i % GREEK.length];
+  return cycle === 0 ? name : `${name} ${toRoman(cycle + 1)}`;
+}
+function toRoman(n: number): string {
+  const vals = [1000,900,500,400,100,90,50,40,10,9,5,4,1];
+  const syms = ["M","CM","D","CD","C","XC","L","XL","X","IX","V","IV","I"];
+  let out = "";
+  for (let i = 0; i < vals.length; i++) while (n >= vals[i]) { out += syms[i]; n -= vals[i]; }
+  return out;
+}
+
 export function genId(len = 8): string {
   const c = "ABCDEFGHJKLMNPQRSTUVWXYZ23456789";
   let s = "";
@@ -55,11 +70,11 @@ export function freshBuzzer(): BuzzerState {
 
 export function publicRoom(room: Room) {
   return {
-    id:         room.id,
-    settings:   room.settings,
-    locked:     room.locked,
-    teamLocked: room.teamLocked,
-    modOnline:  room.modWs !== null,
+    id:          room.id,
+    settings:    room.settings,
+    locked:      room.locked,
+    teamLocked:  room.teamLocked,
+    modOnline:   room.modWs !== null,
     buzzerState: {
       roundOpen: room.buzzerState.roundOpen,
       buzzOrder: room.buzzerState.buzzOrder,