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17
Task/Modular-inverse/Tiny-BASIC/modular-inverse-1.basic
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Task/Modular-inverse/Tiny-BASIC/modular-inverse-1.basic
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PRINT "Modular inverse."
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PRINT "What is the modulus?"
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INPUT M
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PRINT "What number is to be inverted?"
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INPUT X
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PRINT "Solution is:"
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10 LET A = A + 1
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GOTO 20
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15 IF B = 1 THEN PRINT A
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IF B = 1 THEN END
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IF A = M-1 THEN PRINT "nonexistent"
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IF A = M-1 THEN END
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GOTO 10
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20 LET B = A*X
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30 IF B < M THEN GOTO 15
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LET B = B - M
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GOTO 30
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27
Task/Modular-inverse/Tiny-BASIC/modular-inverse-2.basic
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Task/Modular-inverse/Tiny-BASIC/modular-inverse-2.basic
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REM Modular inverse
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LET E=42
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LET T=2017
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GOSUB 100
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PRINT M
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END
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REM Increments E S (step) times until B is greater than T
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REM Repeats until B = 1 (MOD = 1) and C (count)
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REM B will not be greater than T + E
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100 LET D=0
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IF E>=T THEN GOTO 130
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LET B=E
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REM At least one iteration is necessary
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LET S=((T-B)/E)+1
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LET B=B+S*E
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LET C=1+S
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LET B=B-T
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110 IF B=1 THEN GOTO 120
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LET S=((T-B)/E)+1
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LET B=B+S*E
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LET C=C+S
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LET B=B-T
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GOTO 110
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120 LET D=C
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130 LET M=D
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RETURN
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