# --- 1. SETUP CONSTANTS ---
# O = 1
INCREASE O
# M = 512 ( Loop Limit )
# Constructed by doubling 1 -> 512
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 = 1 ( Run Flag )
CLEAR F
INCREASE F
# --- 2. MAIN LOOP ---
REPEAT M TIMES (
# --- STEP A: PRINT ---
REPEAT F TIMES (
PRINT X
)
# --- STEP B: FAST DIVISION ---
# We calculate Q ( Quotient ) and R (Remainder) by looping X times.
# We DO NOT copy X to Y. We use X directly.
REPEAT F TIMES (
CLEAR Q
CLEAR R
# "Logic Gate" Division
# We toggle R between 0 and 1.
# If R transitions 1 -> 0, we increment Q.
REPEAT X TIMES (
# T is our "Toggle" Helper
# Default T to 1
CLEAR T
INCREASE T
# If R is 1: We need to flip to 0 and increment Q.
# We also clear T so the second block doesn't run.
REPEAT R TIMES (
CLEAR T
INCREASE Q
CLEAR R
)
# If R was 0: T is still 1. We flip R to 1.
REPEAT T TIMES (
INCREASE R
)
)
# --- STEP C: CHECK STOP CONDITION ---
# If Q == 0, it means X was 1. We must Stop.
# We reset F to 0, then set it back to 1 only if Q > 0.
CLEAR F
REPEAT Q TIMES (
CLEAR F
INCREASE F
)
# --- STEP D: UPDATE X ---
# Only runs if F=1 ( Sequence continues )
REPEAT F TIMES (
# Rebuild "Even" Flag ( E )
# E = NOT R
CLEAR E
INCREASE E
REPEAT R TIMES ( CLEAR E )
CLEAR X
# CASE 1: Even ( X = Q )
REPEAT E TIMES (
REPEAT Q TIMES ( INCREASE X )
)
# CASE 2: Odd ( X = 6Q + 4 )
# Derived from: 3 ( 2Q + 1 ) + 1 = 6Q + 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
INCREASE X
)
)
)
)