# --- 1. SETUP CONSTANTS --- # Create 1 (O) and Loop Limit (M = 512) INCREASE O INCREASE M REPEAT M TIMES ( INCREASE M ) REPEAT M TIMES ( INCREASE M ) REPEAT M TIMES ( INCREASE M ) REPEAT M TIMES ( INCREASE M ) REPEAT M TIMES ( INCREASE M ) REPEAT M TIMES ( INCREASE M ) REPEAT M TIMES ( INCREASE M ) REPEAT M TIMES ( INCREASE M ) REPEAT M TIMES ( INCREASE M ) # F is the Run Flag. F=1 means "Go", F=0 means "Stop". CLEAR F INCREASE F # --- 2. MAIN LOOP --- REPEAT M TIMES ( # --- STEP A: PRINT X --- REPEAT F TIMES ( PRINT X ) # --- STEP B: EXECUTE LOGIC --- REPEAT F TIMES ( # 1. Ping-Pong Division # Calculates Q (Quotient) and R (Remainder) # T is a Toggle that forces strictly alternating states. # We ensure T is always 0 at the start of an iteration. CLEAR Q CLEAR R CLEAR T REPEAT X TIMES ( # Start of iter: T is 0. Set T to 1. INCREASE T # If R is 1: We found a pair. # Actions: Increment Q, Reset R to 0, Reset T to 0. # Cost: 3 Ops. REPEAT R TIMES ( INCREASE Q CLEAR R CLEAR T ) # If R was 0: Loop above skipped. T is still 1. # Actions: Set R to 1, Reset T to 0. # Cost: 2 Ops. REPEAT T TIMES ( INCREASE R CLEAR T ) ) # 2. Inverted Stop Check # We need to know if Q == 0 (meaning X was 1). # We use Z as an inverter flag. # Set Z = 1 CLEAR Z INCREASE Z # If Q > 0, Clear Z. REPEAT Q TIMES ( CLEAR Z ) # If Z is still 1, it means Q was 0. Stop the program (Clear F). REPEAT Z TIMES ( CLEAR F ) # 3. Update X # Only runs if F is still 1 (i.e., X was not 1). REPEAT F TIMES ( CLEAR X # Base: Set X = Q REPEAT Q TIMES ( INCREASE X ) # Odd Correction: # If R=1 (Odd), X should be 3(Original X) + 1. # Since Original X = 2Q + 1, new X = 6Q + 4. # We have Q. We need to add 5Q + 4. REPEAT R TIMES ( REPEAT Q TIMES ( INCREASE X INCREASE X INCREASE X INCREASE X INCREASE X ) INCREASE X INCREASE X INCREASE X INCREASE X ) ) ) )