What To Do After You Hit Return

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the to the clues “too small” and “100 big”, Expect the iri ~ war

number line, guessing without building on previous information. As their abilities develop, lengthen the number lir

Take turns being the computer. The “computer” compares the secret number with each guess and always tells the truth,

The players will begin to notice the boundaries created by previous guesses, to see how the set of possible De with each clue. Help them be aware of the changing possibility set by erasingTry the numbers number line, or in some other way keeping track of the information,

changes

the

that have been sliminasted, by

Finally, encourage them to develop a strategy for guessing the secret number in

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the fewest possible tries, Nun ther Is aiid game - each clue “partitions” the numbers, Analyze each strategy In terms of the partitioning scheme it uses. Then, try to the maximum number of guesses needed for any range of numbers,

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Start slowly with everyone. Players will develop skill at their own spoods. Beginning learners may need a year or two before they ready for a more involved look at the game. sre Talk about ways to generate the secret number - dice, numbers in a hat, spinners,

Abase is Number in any base (you pick the base). In Trap you guess rwo numbers, trying 10 sandwich the secret ogy ern

the clues are related to ow far your guess is from the secret number, ¢ locks is like Stars and gives clues in metric units, Quadgt are substantially more difficult to play than Number, Try Button with people in the circle,

Hugels

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SON No

SING GAME

0 AN

A NUMB

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188

OK, | HAVE A

118 128

NUMBER. START, NG VESS ING / 7

YOUR cuess? -

HAVEOR ae IF YOU "TELL S YOU PRINT TOO SMALL IS TOO PRINT "GUES

=)

388

- CALL I TX A NUMBER REM wa% COMPUTER VTHINKS* OF

318

-

YOUR WHAT |S (67 Guess »

400

REM #w%

a1® 420 a38

4 PRINT PRINT “WHAT IS YOUR GUESS™J INPUT G

448

498

et

T™O B\¢/

WHAT IS YoUR

Too SMALL!

GESS IS TOO SMALL OR TOO BIG.

2 8

STR

Res

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WHAT 1S YOUR GUESS?20

g

TOO SMALL.

A

d-

| eth

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LRG he game Look at my guesses 4 yl discove

TRY A LARGER

my sirateg)

Can you invent one??

NUMBER.

TOO SMALL. TRY A LARGER NUMBER.

TOO B16.

TRY A SMALLE

WHAT IS YOUR GUESS?40

ER / NUMB

T00 SMALL. TRY A LARGER NUMBER.

gi Bg Me

WHAT IS YOUR GUESS?50

-

TOO SMALL. TRY A LARGER NUMBER.

EE;

WAT 1S YOUR GUESS?60 TOO SMALL. TRY A LARGER NUMBER.

re OC

00000] Fo] ---TY

WHAT IS YOUR GUESS?70 T00 BIG. TRY A SMALLER NUMBER.

== = You GUESSED IT! FIVE /

IN oNLY offer ady

WHAT

Faval

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iin is a strategy that will let you always guess the number in az most 7 guesses. Can you find it?

WHAT IS YOUR GUESS?68 T00 BIG. TRY A SMALLER NUMBER. WHAT IS YOUR GUESS?67

oy,

F.B

1 3 IS YOUR GUESS?69

100 BIG. TRY A SMALLER NUMBER.

hb

ay oc tz

YOU GUESSED IT!!! LET'S PLAY AGAIN.

ee hod

OK» I HAVE A NUMBER. START GUESSING.

M

I guessed the number in 10 guesses.

WHAT 15 YOUR GUESS?

? OR JUST Lexy

Using this strategy, how many guesses would it have taken me if the number had been 667 If it had been 617 How about 91?

Ee

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BOCOOH

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here

are better strategies

WHAT IS YOUR GUESS?30

fo

or

OKs I HAVE A NUMBER. START GUESSING. WHAT IS YOUR GUESS?10 100 SMALL. TRY A LARGER NUMBER.

oo

OQ.

GO TO 31e@

HE I WILL THINK OF A WHOLE NUMBER i SS, TRY 10 GUESS MY NUMBER. AFTER MYEACH NUMBER Or IF YOUR TELL YOU LF YOU HAVE GUESSED

TRY A LAREIR

.

PRINT

RUN

a

&

538

i i

OCoope ™

7?

*S NUMBER REM *x%% HUMAN HAS GUESSED THE COMPUTER

548

GUESS 7

at

GOTO 418

s8@

= : PRINT 59 PRINT "YOU GUESSED ITI! LET'S PLAY AGAIN.

R

y

IF G=X THEN Ss

THEN SMALL. TRY A LARGER NUMBE-_F G>X“TOO R 438 ARINT . aie eT'*700 BIG. TRY A SMALLER NUMBER. aT BO

=, ‘ee Fr] Ro -

LET X=INTCl@8eRND(82)*]

RINT “OKs 1 NAVE A NUMBER. START GUESSI NG." ee PRINT 1 3 : HUMAN STARTS GUESSING

1) NmoER

Se

re .M

2830 Sap

/ 100 SMALL A LARGER TRY ?

RE

94885 CA COMPANY

SO)

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REM www COPYRI REN sew P. 0. BOX 318, M

PLAY s : := ToOx 1e0 S "kArr0wBor S ON D0. HO CTI ON TRU NT INS PRI ses ren GUESS» dos PRs wl«TRYWiLLTO GUESSNK MY NUMBER. AFTER §ACH IF YOUR™ 210

WHAT S$

om 00000

GUE wwe A NUMBER REM s%& NUMBERGHT PEOPLE 1S © WERK

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Start here REM #¢% NUMBER #%% A NUMBER GUESSING GAME #**%

18®

11®

REM w#% COPYRIGHT PEOPLE'S COMPUTER COMPANY

120

REM *#%% P.O. BOX 318, MEALO PARK CA 94825

200 210 220 230 249

REM #»#% PRINT INSTRUCTIONS ON HOW TO PLAY PRINT "I VILL THINK OF A WHOLE NUMBER FROM 1 TO 100.” PRINT “TRY TO GUESS MY NUMBER. AFTER EACH GUESS, I wILL* PRINT "TELL YOU IF YOU HAVE GUESSED MY NUMBER OR IF YOUR™ PRINT “GUESS IS TOO SMALL OR TOO BIG."

REM LET

320 339

PRINT PRINT

490 410 480 430

OF A NUMBER

»%% COMPUTER °THINKS®* X=INTCI1@@2%RNDC@)>)>+1

300 310

"0X,

I

HAVE A NUMBER.

=

CALL

IT X

START GUESSING."

REM #*%% HUMAN STARTS GUESSING PRINT PRINT "WHAT IS YOUR GUESS": INPUT G6

computer checks guess (GC) against its number (XX)

4

Q

my

follow me if guess 1s Q

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3

follow me if guess

Q

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go

is NOT correct

ct

5

0

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follow me if @Q

if guess was 0

bead

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~not right on

o

~nNot too big

§

470 GO TO 41@

a. Q 480 PRINT "T00 BIG. 490 GO TO 410

59@ 518 520 538 540

TRY A SMALLER NUMBER. *

REM »#»* HUMAN HAS GUESSED THE COMPUTER'S NUMBER PRINT PRINT "YOU GUESSED IT!I] LET'S PLAY AGAIN." PRINT GO TO 310

999 END

3

16

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E-A NUNTER REM=ATAS

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EE¥-PETER XaTZ, 10/5/73,

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30

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EATEEES

DIM ASC 131,550152

15 A HUISER sUESSI4A SMC To part ®T#IS

RHE AE Ere A ap

PHINT "THE GOIPUTER 9ii= = = fc

30

PRINT

PRINT "WHAT =AsS no YOU © st TO

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oll

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7 Sr v4 ~-

er pe

h¢)

250 260

€OTO 230 Ash-1

we

270

1F A=0 TAES 390

236

©=1

290

J=ReltA

350

Y="«i01A

360

X=XeY

450

G1

uel

F=D

470

ROSUR 990

510 520 S30 550

1F Y>M OR YE THEd PRINT TASCS): “TOO LOWY. AUSSS #%& GOTO S00 PRINT TASCS)3"T00 HIM. SUSSS evs GOTO S00 IF 0=1 THEN 720 PHINT "RIGHTI¢ IT TOOK YOU “fi GUESSES.™ PRINT “NO YOU WANT Tn PLAY ASAIN" INPUT ESCs 1) THTN 1130 IF RSL 1 1Y="N"

=

&

Q

1

NN

Hi

X=6

IF F >= 10r¥ THEN 1070 K=X-1 GOTO 1030 K=K-| T=15T¢«1rK«F+.00005) F=F-10v 27 IF T=0 THv4 1140 TJ ®$S,S1=A8CT, IF ¥=0 THEN 1160 5=5+1 S6TD 1060

ord -

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BELLS! In each PRINT statement, we

470 PAINT = an) 488

PryREsg cL

Lines 380 - 500 print from one to seven stars, depending di on the value u ofDA

438 IF D >= 2 THEN 450 ME PRINT » «3.

»

A 8g,

i number X. to the cosmic x Y

IF D >= 32 THEV 498

a&

To Type

Bites

== 2

ZS

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PRINT LET N=N+1l GOTO 330

PRINT " +x"; iff

--684 THEN 500 390 IFD>=32 THEN 490

400 IFD>=16 THEN 480 =p =

480 PRINT “x” 490 PRINT “+”

500 PRINT “x” Ll

so. for D= 23, three stars are printed. »

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SUPPOSE 16 < D < 31. HOW MANY STARS WILL BE PRINTED?

Your tuV4 7)

SUPPOSE D > 64. HOW MANY STARS WILL BE PRINTED? .

7

SUPPOSE D = 1. HOW MANY STARS WILL BE PRINTED? SUPPOSE 2 STARS WERE PRINTED. THISMEANS THAT -

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TIONS 2YES pO YOU WANT INSTRUC :

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Len WIDN I CHT) 1s R mIDN AFTE

IN

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CS THE TIME 1°¥ E BETWEEN ggol

fr

WHAT IS YOUR GUESS?LIT

FERMI

eo

WHAT IS YOUR GUESS?HIM

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FERMI

x

Ferm

Pico

WHAT IS YOUR GUESS?BIG

5

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FERMI

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= 0) ot \ Ce 9 A

WHAT IS YOUR GUESS?SIC

FERMI

WHAT IS YOUR GUESS?DIP FERMI PICO

on

MT,

IF IT'S IN A DIFFERENT POSITION.

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‘BAGELS* MEANS NONE OF YOUR LETTERS ARE IN MY WORD. BUT FOREACH LETTER THAT IS IN MY WORD T00, I WILL SAY,

BAGELS

P

com a a tos

WHAT IS YOUR GUESS?LID FERMI

SREY »

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Ay * EP AN V& No 0%

2

X

« oN © 0U 9

0.Ke I HAVE A WORD.

WAT 15 YOUR GUESS?0UR

0

S

YOU GOT IT! MY WORD IS PIN

BAGELS

A

WW

WHAT IS YOUR GUESS?PIN

FERMI FERMI FERMI

WHAT 1S YOUR GUESS?ACE BAGELS WHAT IS YOUR GUESS? ICE

a

3

PTI N

Woro

*

i4

Y

hone of the 3 letters

i] your guess isin e

secret word

WHAT IS YOUR GUESS?0AR FERMI WHAT IS YOUR GUESS?0WN FERMI WHAT IS YOUR GUESS?0DD NO TWO LETTERS ARE THE SAME.

One of yeur 3 Letters

WHAT IS YOUR GUESS?0LD

18 HR te pe word

R FERMI

WHAT IS YOUR GUESS?0WL FERMI WHAT IS YOUR GUESS?0OFT FERMI FERMI

WHAT IS YOUR GUESS?0PT

FERMI FERMI FERMI

YOU GOT IT! MY WORD IS OP T

O.Ke I HAVE A WORD. WHAT 1S YOUR GUESS?

ang it's FE coreg -

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Same 2s Fermi bod 05 Tn

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RUN SARE

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GET-SHANGMN

DO YOU WANT INSTRUCTIONS (YES OR NO)?YES THIS IS THE GAME OF HANGMAN. YOU CHOSE TeE LANGUAGE THAT YOU WANT TO FLAY In, AND 1 minx

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OF A WORD IN THAT LANGUAGE. YOU TRY TO GUESS, LETTER BY LETTER, WHAT THE WORD IS. SINPLE mus? WHEN I THINK OF A WORD, 1 WILL PRINT A LINE OF

!

DASHES WHICH CORRESPONDS TQ THE NUMSEX OF LETTERS IN

i

THE WORD.

IF YOU GIVE UP, TYPE °*GIVE'. IF YOU WANT TO SUIT» SIMPLY TYPE "QUIT". A FEW SPECIAL INSTRUCTIONS: SPANISH - THE * IS COUNTED AS ONE LETTER, AND THE =CH= IS COUNTED AS Tw0.

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IN WHAT LANGUAGE WOULD YOU LIKE 10 PLAY? (ENGLISH, FRENCH» SPANISH, OR GERMAN) ?ENGLISH

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sein XN

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HAVE FUNI! THE WORD IS ====e THE WORD IS ----f

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of TE aie kB oo) ret COREE CN ; Se WE SNE a Ae ee

ale X

Sn NE

EO Cio CAR i lr Gb op ey SRE EE

YOUR GUESS?0 RIGHT! THE WORD IS 0-0-%

RR ae SY A dF DEN i EE Sa R GRRE

TER ~Gsy STAN

EEL

REA

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YOU HAVE USED aEl0

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YOUR GUESS?S

med

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THE WORD 1s SE

I

YOU HAVE USED A

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wi

YOUR

H

GUESS?E

E WORD IS ==weg HAVE USED AE

I.

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RIGHT!

OU

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0

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g

ITITIITITIIL

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THE WORD IS 0-0-E

YOU HAVE USED AEIOS

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Rien

THE WORD IS 0Z0-E YOU HAVE USED AEI0SZ iM Ea

Es Ren I

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SS

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pint Cate SLA)

So you can WAVE SEVERAL LEVELS

PATTERN

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WORDS IN THE FILE HAVE THE SAME RAvme. Like HOUND | FOUND

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WHICH HANGMAN FILE ?ENGLISH HOW MANY WORDS P10

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big. “Taking (he fast object is [os ons? 0.K. What are the safe positi we change e the maximum to 4. Suppos

ly

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t Answer these questions again bunin g! Ce » Ready? win ect t obj fas Le me mike taking the he y = oe hol

Ck

ons? Now what are the safe positi

ngs. Suppose the « Let's complicate thithe is 2 and maximus 3. min ns? e the satfe positioate Warha d to the number rel oe

NY 2 VR all A T IG on Rey i

TRE

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the pile. We'll begin with 23 objects in ximum is 3. ma the , 1 #8 m imu « The min

= oe

i

ect . Asan example, let's diss

the parameters are changed

20 MATCHES.

=

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is winning or losing. whether taking the last object

a

= m is 3 and the in the pile. The minimu cts There are 37 obje ntee you a win’ ve, guara abo first go to he ion anc g, Does the decis 0 Bl is losint 5 ds 7, Takin sue objec gic ne .|

Se 9

gns

bg your ¥ SUE idl

r

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er2 PY the pile. The nuedmb we add objects to cxc e and on each turnTh eed a specifi number 5 RSpilE to yer pla t firs e . maximum eg

HL

a.

itions”

Rey. the safe g pos determinin UPETRUSRR SEL aril for A

ya .

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publi Puzzles fora Hand Calculator and ks, bh A d in Gar cS, Tric 1,4 or 7 to the pile. The lose" turn you canadd teach ecified numbe Have fun!! ny 4

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NIM IS PLAYED WITH PILES OF STARS (YOU DECIDE HOW MANY PILES AND HOW MANY

STARS IN EACH PILE).

WHEN IT IS YOUR TURN, YOU MAY TAKE ASMANY +s AS YOU LIKE BUT FROM ONE

PILE ONLY. f

THE PLAYER WHO TAKES THE LAST * WINS.

FOR EXAMPLE, SUPPOSE THE PILES ARE: PILEl: PILE2: PILE3:

|

« =» % * =x =

8

TO TAKE THREE *s FROM PILE 2, YOUMOVE 3,2 . THAT LEAVES

RILEY:

»

PILE 2: PILE 3:

x

NOW IF I MOVE 2,3 (TAKING 2 *s FROMPILE 3)

YOU WIN BY MOVING 2,1 (2 *s FROM PILE 1) !! HEREWEGO . . .

HOW MANY HOW MANY HOW MANY HOW MANY

:

PILES? 3 +s INPILE 1? 3 =s INPILE 2? 5 =*s IN PILE 3? 7

DO YOU WANT TO GO FIRST (YESOR NO)? YES PILE1l:

=*= x %

PILE2: * % % % * :

PILE3: # % * % % % *

:

YOUR MOVE? 3,2 IMOVE 6,3

f

;

¢

:

PILE1: = # = PILE2: = +

y

PILE3: =

YOURMOVE? 1,3

=

IMOVE 1,1 PILEl: PILE2:

Fhe

5

PILE 3:

amt eS res oa =a

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NLT aE wl

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ube on .

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Sy ~~

EC or wat TFN, ir .-

IMOVE 2,2 TWON. BETTER LUCK NEXT TIME. :

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YOUR MOVE? 2,1

LA

Dy

y

=* = * *

By

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THE SIMPLEST CASE -

”: take as many from any ;,, the Jast * and you can to is e gam the of ect Remember, the obj

Wow, we've solved an infinite

the winning as you want. So what's

of cases already number

NIM with one pile only but

i

an arbitrary with

. . afe. h only one pile left is uns 0.K., so every position wit

of cases, an infinite number

we must be done, right? Well, that's another subject . .

NEXT - TWO PILES LEFT.

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tinuin ples yourself before consize - hc piles left? Try some exam same when there are only two 15safe if they are the ition pos the left, s there are tWO pile , I can play symmetrically ang a chsopoaing? If n with two piles of the same size

th

\) q \ \_[)

Ia

i

move

: wo Jo yo el “42mHEY

number of

© init hice Nie.sd

:

ONLY ONE PILE.

positio it's unsafe. After leaving a safe

Vad

win. Watch.

Gls

PILEl: PILE 2:

* * * * * ok oXEE KEE

fe position (two Imove 3,2 changing an unsa

piles of different size) into a

safe position (two piles of

e thing to the other. one pile, 1 do the sam whatever you do to the same size). Now

3

1: PILE PILE2:

-

xx * * * * * *

e changes ve 2,2. My symmetric mov If you move 2.1 then Imo s). pile a safe position (even

s)

an unsafe position (uneven pile

into

E PILES LEFT. MOVING ALONG - THRE We'll discover safe positions

in the other pile, leaving two piles everything

f

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re one ofsthe piles has only all the positions with 3 piles whe ‘Now, let's analyze t. ear abou

k] we weal ,3,k1 and [1,3,

&

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1) ced to | 23Sh Ek)

redu tion can beSS resu the©uns 3 posi mov rany,5] t is (afte , righ issafeand : eare afelting [1.4. [1,9 SRE5],10 ] ea So [1,4

Sh 2 re [1,6,7] issafe (ean

Next-

vA

2

is [1.5.6] unsafe! ?). Why sonuse she last examples to show why :

00 : 7 edit- [1,891ing51on¢ safe. You guessers are 1 ,67 {1 hav s pile 3 h e wit be Se aad ; safe (for any positive integer k) and all oth HE aNor ied Tee !

-so [ 0K.

Air

a aa eg, To TE 1% NN i Va

one *. [1.2.k]

dy know

Lh: 1 [o-

I

Neen

14, i

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of the same size. Se [1,2,4]. you move, I can leave two piles [1,2,3] issafe. Whatever changed to [1,23 by the be safe because each can Cd

j

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taking is unsafe - it is made safe by same size, then the position the have piles three the of If two with the same size.

:

;

we've already learned. by building on information

EH a Shas

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5

pros

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]

is the piles. [2 3k] 4,5 allest number [eft in anyt of[24 ] 2. [ ll, We ity and 2 is the sm k]? safe. Whatabou ich whis

| es it safe but after any v4 61 is safe - no move mak 1 SE lie ca lca Sg resultin out. We are building on what itck n - che

esis 1] pn

move

the

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TWOHUNDRED SIXTEEN? Cl gy -t

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NN Now, you might be ready to consider attempting to construct the general case. See the difference between giving the answer when NIM is introduced vs, analyzing some special cases first and then generalizing? How do you think the formula was discovered in the first place? (If you're interested

a

zr 0”

Martin Gardner also gives some references for N/M in his book we mentioned.)

v4

B84 Rah ¢

There is a simple modification of strategy in the case where the player to take the last object is the loser, instead of the winner. At some point only one pile will have more than one * - you must take either all or all but one so as to leave an odd number of one * piles. (Thanks again, M.G.)

By p How about some variations that :

preps =de

Another nice modification that you can analyze in the same way: Instead of removing from only one pile, a player may remove #*s from any number of piles not exceeding some designated number, N, and as many from each pile as he wants.

SR a a = pr take from one pile phi he from P piles)?

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Here are some operators we've made up! eC RE

Ci

TS SR [kPy ,kPy, ... ,kP_|for any positive integer k

Example: 6¢(1,2,2,3] =[6,12,12,18])

PEs QS E= RPS Bs LP

O. [Py,Py,...,P,] EAR

01, gs oc QT

Example: [fl 25258 10H 557 0= [152,27 3,,/5(,7 1

[Py,Py, ..- Py) #£1(Q,Q, ...,Q] = [P1+Qq,P3+Qy, ... \P;+Q,]

2 :

Example: [1,2,3] #[2,4,6]1 =1[3,6,91] ;

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See what effects theseoperators have on safe and unsafepositions. Since we just made these up, we trongly

suspect that this

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Let's look at a few of the simpler safe positions for the 2 player game, (The pages on 2 MATCHES

explain safe and unsafe positions.)

1284 1 Px ww 2 3 ow 4 »

Let's call this position [4,4]. Is safe. Just play symmetrically to the other player, In general | kk | issafe for any positive integer k,

Notice that [ 1,1] is

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BIBLIOGRAPHY

find out what books and This is where you go [0 er. We got all of

you furth magazine articles can help of items

CAR: fit

our information from

NTIFIC, AMBRI in October, 1970, SCIE

end alin Comuy BER 0L olspr obs n given names like bee ve y The . erns patt E interesting LIF

ry and Ap ber, 19703 January, Februahematical Games” Novem s have an article called “Mat copie

discoveries are mentioned wherein all sorts of glorious ART AND SCIENCE 5 SERIOUS GAMES:THE

"

page are some of those. The pattems and ideas on this rns, YOU'LL be able to 1cin ltd new patte

E. Written by OF GAMES THAT SIMULATETheLIFViking Press, 1970,

ished by Clark C Abt and publ

i

Lh «fi

ES EE EEE EES EEE REFERE H OUND GR E TH F OF ING TT GE i e H|g are a couple H| Ty some isolated trip. lets and see what they do. Her

i

NAL string of CELL Remember the FUSE? t'sa DIAGO “a

of one last page at both ends. There's an example that “burn”

H

¥

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>

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4

: H

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on the ;you design your own in Caves2, Wumpus is played - the computer sets them up for you in Caves) Explore tree-structures of a dodecahedron. vertices i Eo 5 These games can be played without a computer, but quite a bit of preparation and bookkeeping is necessary. Discuss

ways to

and play. generate the random numbers needed for the set-up

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So you've decided to visit the CAVES, have you? Come in,

come in! But remember, there's only one way out ... hope you

:

find it! WELCOME TO THE CAVES

(I1=YES,

IS THIS YOUR FIRST VISIT

INTRODUCTION

DO YOU WANT AN

@=N0)>?1 B=N0)>71

Cl1=YES,

IMAGINE YOURSELF AN EXPLORER OF THE FAMOUS YOU'VE BEEN UNDERGROUND DUZZLEDORF CAVES. FOR DAYS, TRIPPING THROUGH THE CAVERNS AND UNFORTUNATELY, YOU'RE LOST, AND TUNNELS. YOUR FOOD HAS RUN OUT. THERE

)

IF YOU

SEE

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J

CAN FIND IT.

WHEN I TYPE A '2?', YOU GIVE ME THE NUMBER OF THE CAVERN YOU WANT TO GO TO. LIKE THIS:

WHERE NEXT?

This is a map I drew when I visited the CAVES. The sideways

7

box wd under a cavern tells you it'sa DEADEND. ADVICE: MAKE A MAP AS YOU GO - IN THE HARDER CAVES YOU SOMETIMES HAVE TO GO BACK AND TRY ANOTHER WAY. GOOD LUCK! YOU'RE IN CAVERN # F 2 ¢ 3 #4

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Maps are neat ‘cause they show what you've found out

so far. Like in the map last page, you know caverns #4, #, and # 10 were never visited.

visit #9? If you were still in # 8, would you go back to # 4? to back way your find you Could

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In CAVES], you get three flavors of CAVES -- each is

bigger than the last. They're called usual, harder, and !!!

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# 1 Tor off the sheet and lot your friend try It

to the old OUT (which ends the game), he wins. and he gets

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find a now OUT next game for you.

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:

HOT or COLD.

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a table of cavern #u, like this : Make

j

(24 ]25[26| 27/28 |29]30]31 w|i] al alas lel [wlofrofon vais] 1ajas]ref17{18[19 [20121 22(23 old new #

Now fill the lower boxes with numbers randomly, liken this

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4 67

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Sit at the computer and have your friend sit away so

a

he/she can't soe, Your friend plays the game, but YOU

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HUNT THE WUM

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NO. OF ROOMS(1-5>?1 ROOM #214 AHA! YOU GOT THE WUMPUS! HEE HEE HEE - THE WUMPUS'LL GETCHA NEXT TIME!! SAME SET-UP (Y-N)?N

HUNT THE WUMPUS

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AT CA

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In geometry, it's called a DODECAHEDRON . That means it has 12 sides. 12 sides? But the WUMPUS CAVES has 20 rooms. Aha! Look at the vertices - where the corner s meet - there are 20 of them. Now each vertex has 3 edges leading to other vertices. Begin to get the picture? Each VERTEX is a room of the CAVES and the edges connecting it to others are the TUNNELS. To makea DODECAHEDRON, cut this figure along the solid lines. Fold along the dotted lines, and scotch tape the edges together :

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A simulation uses a model of a real-life situation. The computer does the complicated bookkeeping - you create the initial

can be repeated or restarted as often as you want. the parameters, and analyze the results. A simulation conditions, manipulate so far involve money, war, and politics. (Polut is an exception.) Hopefully, we'll be able to design Most of the simulations written non-aggressive simulations. Suggestions would be welcomed - please write.

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Science

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Simulations This section contains some pure fun-type games that can also be used as serious classroom learning exercises. Three of them, CIVIL 2, HAMURABI and KING have been circulating in some form or another for years.

They have been fixed, patched, and changed by hundreds of high school programmers. The versions we include here are the latest we have available.

STOCK, POLUT, MARKET and POLICY are at the other end of the spectrum. These programs were developed

by the Huntington Project staff, a National Science Foundation project currently located at the State Uniree sty of New York, Stony Brook. The programs represent a sample of the sophisticated simulations that are available

from the project.

The Huntington programs are designed for classroom use. The Huntington project staff recommends that for use of their program s it is necessary to obtain a student workboo

k ($0.30), Teachers Resource Guide ($0.50). These materials make it easy for a teacher with little or no” Guide ($0.30) An . computer expertise to

use these programs. (Ordering information for Huntington materials is on page 91.) ¥

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(re ; 52 ’ i

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what you have on board. You trade with the merchants and haggle

a little lower. Bid too low? Try again over prices. Bid too high? Try next time!

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= 9. This thrust sent * In the sample landing on the MOON, we burned 20 units of fuel at TIME point by specifying the module upward (velocity became positive). We could “start over” at this

PERSEPHONE as our location. Here's how:

INITIAL HEIGHT (FEET)? 24.5 INITIAL VELOCITY (FEET/SEC) TOTAL FUEL SUPPLY (UNITS)? MAXIMUM BURN (UNITS/SEC)? AMOUNT OF BURN TO CANCEL

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Here are some values for the gravities in our solar system:

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, a maximum burn of 60 , and a gravity Given an initial height of 1000 , an initial velocity of -50 with a velocity of less than -5? land to needed of 12, what is the minimum amount of fuel

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WE START WITH A BOARD LIKE THIS

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YOU AND | TAKE TURNS. WE CHOOSE ONE OF THE NUMBERS AND | DRAW A BRIDGL BETWEEN THE TWO O's BELOW THAT NUMBER. ONCE AN O HAS BEEN USED FOR A BRIDGE, IT CAN'T BE USED AGAIN. FOR INSTANCE, IF YOU CHOOSE THE NUMBER 3,

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with 17 numbers, then moving 9 would create two partitions, cach containing (If we started 7 numbers.)

Your strategy will depend upon the number of non-empty partitions and their sizes. If one of the partitions were

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140 PRINT "WANT THE RULES ? C1 MEANS YES, 150 INPUT X 160 IF X=0 THEN 200

200 210

220 230 240 300 310 320

330 340 350 360

370 380 390 395 400 410 420 430 440 445 250 460

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Bans 418

REM es» TAKING-THE-LAST-OBJECT OPTION

42@

REM s+» WIN: L=0

23 MATCHES

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430 L=0 448 IF AS[1,11="W" THEN 500 450 L=A SA ade gil be. REM #+s SET UP STRATEGY Se ste REM wes n IY THE MINIMUM, B IS THE MAXIMUM, L IS THE ‘LAST' OPTION “-

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120

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150

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1980 200

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318

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370

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138 PRINT 140 PRINT “WE TAKE TURNS.

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s {a6

200 230

250 260 270

280

T PiIpT

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FRINT TASC200"0 | 2 3 4 5 6 7 & 9"

PRINT

290

PRINT TAR(26);'"SONTH™

310 320

PRINT “TRY TO GUESS WHERE THE HURKLE IS HIDING. YOU GUESS PRINT “4Y TELLING ME THE GRIDPOINT WHERE YOU THINK THAT"

300 230 340 350 360

PRINT

PRINT “THE RURKLE 1S HIDING. HOMEBASE 1S POINT

In™

0,0

PRINT “THE SOUTHWEST GORNERs YOUR GUESS SHOULD BE A PAIR" FIRST" PRINT “OF UKOLE NIIMHERS, SEFPANATED BY A COMMA. THE AND™ PRINT “NUMMER TELLS NOW FAR TO THE RIGHT OF HOMEBASE

370

PRINT “THE SECOND NHMHER TELLS HOY FAR AHMOVE HOMEHASE Yon

380 490 400 410

PRINT PRINT PRINT PRINT

450

LET A=INT{(10=RNDCO))

460

LET B=INT C10®RNDCO))

420 430 440

IF You * “THINK THE HURKLE 1S HIDING. FOR EXAMPLE, “THINK THE HIIRKLE IS 7 TO ThE RIGHT AND S ABOVE" THEN AND GUESS AS YOUR 7,5 YO! ENTER "HOMEBASE, “FRESS THE ‘RETIRN' KEY. AFTER EACH GUESS, 1 wILL™

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470

480

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530 540 550 560 570 560 590 600 610 620

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830 835 840 845

GOSUB 4000 IF x=1 THEN 200 STOP REM

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J=1 IF J>LENCAS) THEN 1120 K=1 IF K>26 THEN 1100 IF AS[J,J1=BS(K,K1 THEN 1098 K=K+1 GOTO 1050 X=X+K+192 J=J+1 GOTO 1030 RETURN 11380 REM 2000 REM #%% MODULOUS FUNCTION s+

23" 22" 21" 20" 19" 20"

2020

RETURN REM REM s#% FETCH STRING ss»

200 285 210 215 220 225

REM #*»s GET STRING PARAMETERS ess PRINT PRINT "3 PRINT "FIRST NAME GOSUB 3009 GOSUB 1008

3018 3020 3030 3040 3050 3060

230

Vo=X

4010 4020 4830 4340 4950 4068 4870 4980

275

GOSUB 1000

280 285 298 295

"MIDDLE NAME 3800 1000

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“LAST NAME 3000

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2030 3000

PRINT "TYPE CHARACTERS. HERE WE GO « + « « oa « + o% PRINT

PRINT PRINT GOSUB GOSUB v2=x PRINT PRINT GOSUB

X=0

1020 1038 1840 1050 1060 1070 1080 1090 1100 1116 1120

158 160

235 240 245 250 255 260 265 270

REM s+» CONVERT INPUT STRING TO NUMBER ##¢

1218

PRINT

129

815 820 825

1000

al

115 GOSUB 4000

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800

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X=0 INPUT AS IF AS="NO" THEN 4098 X=1 IF AS="YES™ THEN 4890 PRINT "PLEASE ANSWER YES OR NO ««o™ PRINT "ANSWER *3 GOTO 4810

4990

RETURN

4100 9999

REM END

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300 GOSUB 1800

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310 PRINT

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315 PRINT 328 PRINT

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1000 REM wes DECODER Np Be | | 1004 Rem eas COMMAND THE FIRST LETTER oF EacH commMAND 1S UNIGUE

= 1} or

at ERA gs - ad

y

eo 25 wa

a

Ek ieEr La

PELE SenesIs0 HENS ess 8 - V (R,S1=3

INPUT MS

7

al 1 Ni

E

Te

- Base fosey s1-o Hen 2ss8 one = 5

PRINT "WOULD YOU LIKE A CLUE (YES OR NO)“;

924 IF MSL1,1) “Y' THEN 960 926 ZI=INT(C/2-1+2%RND(0)) THEN 944 se Sadie11=5 = T 936 940 Fl.

Re

(AS) sone

REM ®*x GO STARTING POSITION AND ¢ STOPS, # CHECKS, # MAPS

920

CE 2420 Rast

zd ir PL

900

© 916

°

£058. 6DT0. vas) 2380 ie ad SE os THEN 2420 © Stas, 2390 IF VIR,SJ}=@ 2408 V(R,S53=3

2438

ET THEN 200

REM w=» BYE

912 PRINT

ll es

SAS 9=0 036 2450

el

244

os Race

ot

=

oe ad

1a= | 102

1 1028 NEXT 1021 A 1

BI

fH

;

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1036

!

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040 104

1

IF maT

ld

sD (1,1) THEN 1040 Smee my]

oy

or Ti Pe Se heads i = a x I |1032 # INT 1I CAN'T FIGURE OUT WHAT YOU 3 MEAN - = TELL ME AGAIN"

0TO0

3000

PO

ia en ca

he i

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V0 | IREp Se) STEP COMMAND. = Soo v i )

§

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$i) e

¥

224 REM ==x ANOTHER GAME?

=

248 GOTO 2999

1

| STOP

REM ==» INITIALIZE GRID, CHECKS, MAPS

231

o

=> TEMPORARY

GOSUB 2000: el fea a A GO STARTING POSITION AND GIVE INFO B aol i GAME PROCEEDS

Ba “oA ea

Bl

LT

fo

NIMERICAL REPRESENTATION OF A POSITION ROVER'S MEE

NUMERICAL REPRESENTATION OF WHERE ROVER STOPPED

R=9 ely “oTRIFtoson D$="SCLMIE" Esa NREW Peo Sei Y=2 X=3 REM www INSTRUCTIONS? e PRINT “DO YOU VANT INSTRUCTIONS (YES OR NO)"; INPUT Ms IF MS[1,131 'Y* THEN 200 Gosus 2600

J

2320

=>

ZI

Ee 4

NIM3ER OF CHECKS YOU HAVE LEFT

104 DIM MS (721,05 (6),E$(3)

ed ee 5 22980

=>

KI

REM

Ba REM z9 => RETURN CODE: O CONTINI/E GAME; 100 REM =»x DIMENSIONS AND GLOBAL VARIABLES

e=1

-

Ai

PASSING COLUMN BETWEEN HOUTINES

1359 Ha Tee

-1

ct

NUMHER OF COLUMNS IN GRID CURRENT COLUMN YOU ARE IN

Y

oy CeCe

x Bs

=>

=> NUMBER OF MAPS YOU HAVE LEFT => NUMERICAL REPRESENTATION OF A GO => NUMERICAL REPRESENTATION OF A STOP => NUMBER OF STOPS IN THE GRID

cise

a

=> =>

C

REM REM 76 REM 77 REM 78 REM

70

72 74

2190 GOTO 2210 2200 IF WIR,S+1) THEN 2220 2218 GOTO 2478 2228 Sato nl

vik ' {

STRING FOR DECODING COMMAND STRING FOR DECODING DIFFICULTY OF GRID NUM3ER OF ROVS IN GRID CURRENT ROW YOU ARE IN PASSING ROV HETVEEN ROUTINES

dem vaa1> 0 1948 X=INTCRNDC@) as eb SE ed heh) ke Ba 1980 IF S#V THEN 2029

SRIGRISOID £806 ZUChL TF 9ER.3v11 THEN 2050 UID X= INTORND CODE 011) 2048 GOTO X OF 2300,2478 2050 GOTO 2360 2060 IF R=H THEN 2148 2070 IF WCR+1,S] THEN 2140 2080 IF S#V THEN 2120 2090 IF Z=1 THEN 2158 2108 ©=1 2116 GOTO 2138 2128 IF WIR,S¢1) THEN 2158 2130 X=INTC(RND(@)#2+1) 2148 GOTO X OF 237@,2478 2158 GOTO 2378 2160 1F SAV THEN 2200 @ IF Z=1 THEN 2220

B i 1 J 4

=> => =>

Ds E$ Rr RI RY

60 62

ge0e;

'

MENLO PARK, CA

REM wwa GASED ON AN IDEA BY JEFF SUMAERG, RIDGEWOOD, NEV JERSEY

64

EL: ;

REM aww 1919 MENALTO AVENE

4

1518 0=1

>

p

REM wea PEOPLE'S COMPUTER COMPANY

REM was 7-74

REM REM REM REM REM

J !

4

XeINTCRNDCBI sR ors

B68 IF Se IF 1880 IF 9@ IF 1IF

|

3

2

F WIR,S+1] THEN

n

3 .

= 9

h

>

Fy rs

¥ L

-

-

ff

H I

?

ie = 4

ra ="

Pa

wv

A

a

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eear

I

--------

1236 PRINT Go» 1280 RETURN 1246 PRINT “sTop" 1250 RETIRN 1300 REM x=» LOOK COMMAND 1304 z1=0 1366 FOR I=Ri+) TQ R 1312 IF FUISC1) P THEN 1320 1316 Zl=21+1 : 1320 NEXT 1 1324 PRINT “THERE ARE™;Z1;"STOPS STRALGHT AHEADa 1328 z1=0 1332 FOR I=1 TO C 1336 IF FERI+1,1) P THEN 1344 1380 Z1=71+1

\ UC

1334 NEXT 1 1348 PRINT “THERE ARE";Z13“STOPS IN ROW'JR1+] 1352 RETURN x. 1400 REM »=» MAP COMM

~

I THEN 1420

" is pri “SORRY, BUT YOU'VE ALREADY USED ALL YOUR MAPS 1416 RETURN

1420 Mi=ml-1 1a2a

REM »»x THE MAP 1S PRINTED FROM ROV

1428 1436 1500 1504 1508 1512

i 10 ROW RO

R9=RI RETURN REM === INFO COMMAND PRINT "ROVER ROBOT IS AT"iRI3"."iCl PRINT “YOU HAVE';K1}“CHECKS LEFT PRINT “YOU HAVE'3MI3"NAPS LEFT

600

REM ==»

al «

a

AN

2016 es 2028 2032

INPUT Ms wy FOR Li=1 IF MSC1,13=ESCLLI,LI) THEN 2036 NEXT LI GOTO 2012

as _ 204 3088 siso. FORetd11 TO R

2048 FOR TO C O)+ZI A 2052 FL1,J1J=1 =INTC RNDC 2056 IF FL1-a1=) THEN 2064

©

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L

TOVONTVDDN TQ 9 EEEELS (33333 32333 333 20080 3 3 8808 ERNER SL all NWT N SST

ws

RL ANTEE ONE STOP IN EACH COLUMN AMON THE LAST G 3R jel, RTE EER I=N TOL OR (FER,11=P) THEN 2062 oe pa a (RR a Br ih THIS COLUMN IN ONE OF THE LAST THREE RO x0

3

&

of Ebb EEE EEE EEE EEE EEE EERERERER REENE

2060 PI=Pl+

:

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g. x

8§ E

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ET X

ew u

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PES8, TI wo 8 g.% §i¥

3

&.

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REM =x INITIALIZE GRID, # OF CHECKS» ¢ OF MAPS

\&

&R

BE § 395

EN

:"bh

re

g

Sn 2012 PRINT "WHICH GRID DO YOU VANT - NOVICE, REGULAR, OR EXPERTFEE 23 y

:

A ; bof

du

at

2.

\

s

Sa

ond,

ad Hy E>.

1604 REM awn SET TND-OF-GAME RETURN CODE 9= MH" Soi

:

ft, t an

Pas

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2

aes

TREN £2638

COME ATIVE BATTLE: Pats

1

2

d

=ak

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50

2660

lr = ST

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y IF A=eL THEN 2798 8618 LET we =e

THINK

» Jon

-

6070 2688

Bod Satie

Sead

THEN

-

2378

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AS SE

BI1)= 4 AND S9

a

2%

E A

KIa5T Ma

3

gS

85S Too

=

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Wa

ki

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aw Woe N

UR SHIP#"31s

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RET BA

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S333EBEES859R3282808 BOD BODO oe wm wm oem 1 0 anal aNaNIANIRNNIN ©

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=

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a FL, we

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JU CHRISTEN YOUR SH!

i 5

a

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=

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a

o

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SL _

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8

‘

me (UP TO LETTERS /BLANKS /NUMBERS)" SHIPS 6

|

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IE =

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1

RI aL

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1

CE. f . Ley

VE

BAL=

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-

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EE

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(main module)

| |

!

10 com SC12,183,7012,12,15 1721,8(

|

3, 123 com YsD9:K9»X9.D 1, X1,P9,19, 59, Yo, H com Y1.R9,69,0,M06,31,

|

20

b

30 REM wa» STAR TRADER S =ws SO REM MAIN moDULE 120 REM SET UP CALENDAR AND STAR SYSTEM NAMES 130 pim Cs(361,53(607

30 35

| i

140

|

1S0 160 170 180 190 200

’

lb. }

210

i :

220 230 240 250 260 270

;

280

290 300

|

310

320 330 320 350

k [ i

360 370

I

LET C3 ="JANFEBMARAPRM I

YJUNJIILAUGSEPOCTNOUDEG" Ss=vsqL YORKBOYD LUAN REEF HOOKS TANTASKS INKSANDQU INGAOLK IR!i S$(53)="KRISFaTE" S IS THE STAR SYSTEM 1nF T IS THE TRADING SHIp INFo ARRAY O ARRAY TS 1S THE TRA SHIp NAME STRI NG (6 CHARS PER SHIP) P CONTAINS THEDING FAIR REM Q HAS THE FIXED PRIC PRIGES ON THE LOCAL PLANET ES REM B CONTAINS THE BANK ACCOUN TS DIM PL61,A(6) DIM AS(6),DS(5),NS(36),606) RESTORE 270 MAT READ A . DATA 5000,3500,4000.4500.,3000,3000 LET Ng=" UR MET MED SOFT GEMS" REM FNZ COMPUTES THE PRICHE E WINDOW THROUGH WHICH A BID 1S REM ACCEPTABLE FOR FURTHER hAGG LING DEF FNZCX)=(FNY(X)%e5+¢ NOT DEF FNY(X)=X >= ABS(SC11,513)FNY(X))wX/(2%ABS(SC11,5132))/K1 REM R9 IS THE SPEED OF A SHIP IN LIGHT YEARS PER DAY REM D9 IS THE MINIMUM DISTA ALLOVED BETWEEN STARS REM Q IS THE PROBABILITY OFNCE A DELAY REM K9 IS THE

LET LET REM REM REM REM

a

400

402

404 406 408 410 2 f ae 420

{ : !

MAX NUMBER OF BIDDING ROUNDS REM V IS THE MAX VEIGHT OF A

REM »»x BLOCK #5

IF R=0 THEN 430

GOSUB 3860 GOSUB 5190 FOR T2=1 TO T9 IF T2=T1 THEN 420 L=C(T2-1)%6+] Fs tag 1S ENROUTE TO “3SS[T(8,T2), TL8,T2)+3] NEXT iL br ©

=(T1=]1) po Ro = %6+ AND “3TS(L,L+5);" IS ABOUT TO LEAVE “3S3 : J y : CTCE,T1 1,TL8,T1 1+3)

428 ora 2040

:

xe GOSSUB : UB Ste, 3190

y

abs

’

|i

| 1

y

5 1. ta

| bE wi Hn

: Boy

rd

a HI

wh :

~~ PIs

-

434 S1=Ti=Li=| aso a “ALL SHIPS START AT SOL" re = Se ADVICES visit THE CLA 1470 SS LL PRINTT “SOL /ANDUCEIV)ALOT SYSOF AND TEM THE S! AND" GLAS ANDS S I1 370 11 STAR PRIN S PROD THE THE CLA HE.MSip) 480 PRINT “SOL “SAND ST SS : OFT, WHIC H POOR ER aio (CLA ITIEDAND " falas SSJr

"

lle wei PEN ARIE ee i I U) NEED. ALSO, THE POOR STARS PRODUC THE SL E RAVGOODS ~~ S00 S00 PRI “UR.MEhat PRINTNT * T,GEMS THAcLT Ee aR YOU GA BRI N NG BA

|

|

2

TRADING SHIP'S CARGO 380 REM X9 CONTROLS THE PROFIT MARGI N? HIGH X9 LIMITS THE % 390 REM G9 IS THE STELLAR DEVELOPEMENT # INCREMENT |

+

bs

1860 TCHLATIINTCLILTIIwY

14 C11,851)=8011,851)4X Jl=Jlee 480 1490 NEXT 11

k kn

oT. ok

PRINT TAHCS) IMWECLL Buy

(118) 1850 TE72T1IeTI7.T1)=Xe

3

-

. To f a do Tei =a. an

ST CaXa #1) IMAGE DDXDDDXDDD

HIRO

i (

1

|

| a Ed “al

LLIO

1 1 i

1

|-

NET WT ON BOARD INS) UMING PL002T 00 baT ia EhaTida ieida laut eT ta, T1)aTIs.710

Ms

1350 1360 1360 1364 1366 1370 1360 1390 1400 1410 1480

1 |

LOST.S0RRY'™

‘VE GOT

=

500 PRINT

;

A510 REN wax BLOCK e8 1520 PRINT “WE ARE SELLING" a. 1530 Jis1 ea

i

+¥

540FOR li=l TO: 6

eo codll FOF ob isso F GC11) Rl

i

i

v

r

[J nl

-

K

¥

EL

:

| Hed «EA ha i A

:

i

ER

n

b

- .

an

|

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|

2

al ( a »Bs SE "nd

5

ee =

>=

[5

"|

b I

BS

td

:

(

I

1

3180

REM #%% GOSuB

3190 |

GOsuB aso0 PRINT TABC10);"JAN 1, 3210 PRINT 3220 PRINT 3230 IF Y1>2070 THEN 3450 3200

a Re

!Y

ir

3240

PRINT “STAR SYSTEM CLASSES:"

3260 3270 3280

PRINT * PRINT “ PRINT

3320 3330 3340 3350 3360

PRINT PRINT PRINT PRINT PRINT

3390

PRINT

3400 3410 3420

PRINT TAB(S) “EACH TRADING SHIP CAN CARRY MAX "3W;" TONS CARGO." PRINT "STAR GEMS AND COMPUTER SOFTWARE, WHICH AREN'T SOLD BY THE" PRINT "TON, DON'T COUNT."

3440 3450

PRINT PRINT TAB(20)3"CURRENT PRICES"

3250

al :

“3Y13TAB(35) "YEARLY REPORT #'}Y|=2069

PRINT *

1 COSMOPOLITAN"

11 111 IV

DEVELOPED" UNDERDEVELOPED" FRONTIER"

3290 PRINT 3300 PRINT 3310 PRINT “MERGHANDISE:"

] i

* * * * "

3370 PRINT “ 3380 PRINT

| |

UR MET HE MED SOFT

URANIUM" METALS" HEAVY EQUIPMENT" MEDICINE" COMPUTER SOFTWARE"

GEMS STAR GEMS"

3430 PRINT

l

3460 3470 "3480 3490 3500 3510 3520 3530 3540 3550 3560 3570 3580 3590 3600 3610 3620 3630 3640 3650 3660 3670 3680 3690

|

| ]

| | |

ane 1 : hi. 3

|

a

| Hl Car.

38

:

hd

|

3700

La

1

1

: a ©

’

P|

RTE

| |

al TI -

!

°

'

3730 PRINT

FOR 11=0 TO T9/P9-1

3760

MI=MI+TLI1,P9x11+P1)

ee gen x=l Te 6 8's 3780 M2=M2+TIK,P9*11+P1)*QlK)

~~

E

GOSUB 4380

3710 NEXT BI 3720 FOR Pl=1 TO P9

i

ae |

EER aE 5 |

PRINT PRINT PRINT “NAME CLASS";Ns PRINT FOR Sl=1 TO $9 GOSUB 3870 FOR I=1 TO 6 PU1)=SGN(S[1,511)*P(1) NEXT I GOSUB 4580 PRINT USING "#,4A,2X"3SS(S[6,S13,S5(8,511+3) PRINT USING “SA,6(SSD)*"3DS,P(1),P[2),P(3),Pl41,PI5),PL6) IF S1/2 INT(S1/2) THEN 3600 PRINT NEXT S1 PRINT PRINT “('+' MEANS SELLING AND *-* MEANS BUYING)" PRINT PRINT PRINT TAB(22);"CAPTAINS" PRINT PRINT PRINT “NUMBER $ ON SHIPS $ IN BANK CARGOES TOTALS" FOR Bl=1 TO P9

=

EO PO RNEXTXK,.

Sd 3810 3820 3630 3840 3850

Lar SE M3=M 24MIB 38303P1,M PRINT USING LILPI) 1,BC1,P1),M2,M3 IMAGE 2X,2D,2X,4 (2X,DDXDDDXDDD) NEXT P1 RETURN

3860 REM

3870

3880

x» GOSUB

RI=1+(S[7,51] >= 5)+(S(7,51) >= JO)

D2=12%(Y1-S(10.511)+(D1-59,513)/30

BFoR Ess soe GLII=C1+507,513/15)%(MTI,RII*ST

3900

x

7,S13+4CL1,R1D)

SC1,511=5GNCGT11)2(ABS(GLIIX12) MIN ABSCSC1,S10+D2+G(122) PLII=QLI1*C1=SGN(S(1, S11)%ABS(ST15511/(6L1I3X9))) PLL 00% IN (PL11/1004.5)

aoa

0

costa.

|

YOU WISH TO VISIT THE LOCAL BANK") \

REN

2060 ~~

1

A 1. 1

BiG. 133% ON YOUR SHIP"

SE CHS

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hi

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8

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{ FS =

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k

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4

i

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4350 Wee

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AN BEN sesesanx UPDaTE> cosms eso BULB ISRE 1sBE Io Ch + Ow TT LS. BIDE BER £390 arz.81)=p01 WW BTILB1)=yy

5h 1 : |

\

2218

sETvem

WUP0

REN sms GoSDS

223%

! ;

RAE S452

i 1

{

S480 447% 280 A490 4500 4520 8530 4530 4550

4

AST0

| { "

IF Bl «= ®% TEEN aden

BiI=3)-pe

4560

4S80 4590 2600 |610 4620 4630 4630 4650

d = / 1,

’

4660

1 \

4670 4680 4690 4700

= '

sel

5

A710

336833

wewr x

IF INTOO=X asp X >= 0 THEN sq80 PRINT TASCS)i~TYPE a IERD IF YOU VANT TQ PASS THIS ONE.” PRINT TASCS)iEU

T Np NEGATIVES 0R DECIMALS™ sorte axle RETURN REM wee GOSUS PRINT print PRINT TAS(20)."ess GENERAL ANN OUNCEMENT ssa~ PRINT PRINT RETURN

REM ems cosus

GOTO SU7,S13/5+1 oF 4650,4630,4610 ,45%0 Ds=> RETURN Ds== pw RETURN Dps=" ppv RETURN : Ds=" Jy= RETURN

REM ses GOSUS IF S1>1 THEN 4710 i=} GOTO 4750 I=asINT(1QsRND(O))+S

4720 FOR J=2 TO Si1-1 4730 IF 1=S(8,J) THEN a710 4720 NEXT 9 4750 S(8,S13=1 4760 RETURN

y

|

es» GOSUB

a780 piece

- a

fe

*2' THIS IS WHAT YOU SHOULD DOt™

4790

PRINT

4840

PRINT * Se PRESS THE “RETURN® KEY"

4800 a ! PUSH THE "ON® BUTTON ON THE TAPE PUNCH ER™ 4810 dd Fs PRESS THE TERE 18 KEY (UPPER BiGUES § TIWES® seo pring =

I

3. PUSH THE "OFF BUTTON ON THE TAPE PUNCHER™

-

x

BR. a-

pod SES

rE

4870 PRINT “THE

Ty

(ASBR 4890 PRIN. PRINT bes Me

Ll p

1900

ra =

Ly

wr.

TAPE

Lie debit 8 | esd LR

3

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4960

4970 as Oi

PRL

FP

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i

yy

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L = “a

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Aged (a Toad aa Roew fs ¥ hy 2

2

SECONDS.

elieFORGET TO URN DON'T ER BACK EB oN TURN THE THE PUNCH PL :

A210 cs a

39R0

UNL THAT

IN AHOUT 10

gE

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EE

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Last Chapter 1808

REM LUNAR

1819

PRINT "DO YOU WANT

INSTRUCTIONS")

1820 INPUT ASC1,11 1832

IF ASe™Y"” THEN 1130

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