Avoid immediate repeat of last fact when picking next question

app.js

@@ -71,7 +71,8 @@
         activeSkin: 'skin-default', activeTrail: '', activeBackground: 'bg-default',
         activePet: '', activePetIcon: '',
         studentName: '',
-        focusQueue: []
+        focusQueue: [],
+        lastFactId: ''
     };
     
     let game = {
@@ -185,22 +186,35 @@
         const relevantTrouble = state.troubleList.filter(t => allowedNumbers.includes(t.n1) || allowedNumbers.includes(t.n2));
 
         let n1, n2;
+        const makeId = (a, b) => {
+            const [s, l] = a < b ? [a, b] : [b, a];
+            return `${s}x${l}`;
+        };
+        const lastId = state.lastFactId;
+
         if (state.focusQueue.length > 0) {
             const factId = state.focusQueue.shift();
             const parts = factId.split('x').map(Number);
             [n1, n2] = parts;
         } else {
-            if (relevantTrouble.length > 0 && Math.random() < 0.5) {
+            let attempts = 0;
-                const struggle = relevantTrouble[Math.floor(Math.random() * relevantTrouble.length)];
+            while (attempts < 6) {
-                n1 = struggle.n1; n2 = struggle.n2;
+                if (relevantTrouble.length > 0 && Math.random() < 0.5) {
-            } else {
+                    const struggle = relevantTrouble[Math.floor(Math.random() * relevantTrouble.length)];
-                n1 = allowedNumbers[Math.floor(Math.random() * allowedNumbers.length)];
+                    n1 = struggle.n1; n2 = struggle.n2;
-                n2 = Math.floor(Math.random() * 12) + 1;
+                } else {
-                if (Math.random() > 0.5) [n1, n2] = [n2, n1];
+                    n1 = allowedNumbers[Math.floor(Math.random() * allowedNumbers.length)];
+                    n2 = Math.floor(Math.random() * 12) + 1;
+                    if (Math.random() > 0.5) [n1, n2] = [n2, n1];
+                }
+                const cid = makeId(n1, n2);
+                if (cid !== lastId || attempts === 5) break;
+                attempts++;
             }
         }
 
         game.currentFact = { n1, n2, ans: n1 * n2 };
+        state.lastFactId = makeId(n1, n2);
         document.getElementById('equation-display').innerText = `${n1} × ${n2}`;
         startDementor();
     }