Update app.py

app.py

@@ -27,7 +27,7 @@ R5 = Rk[Rk.sum(axis=1) == 5]  # size 252
 fact = np.array([1, 1, 2, 6, 24, 120])
 Δ = R5[None, :] - Rk[:, None]  # Δ[rk, r5, i]: number of die #i missing to go from Rk[rk] to R5[r5]
 P  = np.where((Δ >= 0).all(axis=2), fact[Δ.sum(axis=2)] // np.prod(fact[Δ.clip(min=0)], axis=2), 0)
-P /= P.sum(axis=1, keepdims=True)
+P = P / P.sum(axis=1, keepdims=True)
 M = (P > 0).T  # Mask for valid transitions
 
 # Calculate category scores for all R5 outcomes