feat(opord): add par-anchored speed bonus to scoring

src/components/frontend/minigames/opord/OpordArena.tsx

@@ -150,8 +150,9 @@ export function OpordArena({
             <span className="font-medium text-foreground">Debrief</span>
             <span>
               A perfect run inside {OPORD_DIFFICULTIES[difficulty].parTimeMs / 1000}s earns a{" "}
-              {OPORD_DIFFICULTIES[difficulty].perfectBonus}-point bonus. Each tier tracks its own
-              best score.
+              {OPORD_DIFFICULTIES[difficulty].perfectBonus}-point bonus. Finishing under the par
+              time also earns a speed bonus that scales with how fast you finish and how many
+              answers you got right. Each tier tracks its own best score.
             </span>
           </div>
         </CardContent>

src/lib/minigames/opord-recall.ts

@@ -26,6 +26,12 @@ export interface OpordTierConfig {
   readonly parTimeMs: number;
   /** Bonus for a perfect run inside the par time. */
   readonly perfectBonus: number;
+  /**
+   * Points pool for the time bonus: a run finishing under the par time earns
+   * this scaled by the fraction of par time saved and the fraction of
+   * questions answered correctly, so speed pays only alongside accuracy.
+   */
+  readonly maxSpeedBonus: number;
 }
 
 /** Grace added to the quiz limit for network/rounding before the server rejects. */
@@ -50,6 +56,7 @@ export const OPORD_DIFFICULTIES: Record<OpordDifficulty, OpordTierConfig> = {
     correctPoints: 100,
     parTimeMs: 100_000,
     perfectBonus: 150,
+    maxSpeedBonus: 150,
   },
   veteran: {
     studyHintSeconds: 25,
@@ -58,6 +65,7 @@ export const OPORD_DIFFICULTIES: Record<OpordDifficulty, OpordTierConfig> = {
     correctPoints: 150,
     parTimeMs: 150_000,
     perfectBonus: 300,
+    maxSpeedBonus: 250,
   },
   elite: {
     // Extra clock headroom: elite relational questions include time arithmetic.
@@ -67,6 +75,7 @@ export const OPORD_DIFFICULTIES: Record<OpordDifficulty, OpordTierConfig> = {
     correctPoints: 200,
     parTimeMs: 200_000,
     perfectBonus: 500,
+    maxSpeedBonus: 400,
   },
 };
 
@@ -103,7 +112,15 @@ export function calculateOpordScore(
 ): number {
   const tier = OPORD_DIFFICULTIES[difficulty];
   const perfect = correct >= tier.questionCount && timeMs <= tier.parTimeMs;
-  return Math.max(0, correct * tier.correctPoints + (perfect ? tier.perfectBonus : 0));
+  const speedBonus =
+    timeMs < tier.parTimeMs
+      ? Math.round(
+          ((tier.parTimeMs - timeMs) / tier.parTimeMs) *
+            tier.maxSpeedBonus *
+            (correct / tier.questionCount),
+        )
+      : 0;
+  return Math.max(0, correct * tier.correctPoints + speedBonus + (perfect ? tier.perfectBonus : 0));
 }
 
 export function calculateOpordXp(score: number, isNewTierBest: boolean): number {