Datasets:

introvoyz041
/

tinybasic

REM "Solves the Euler 9 problem "
REM "See https://projecteuler.net/problem=9 for details"
REM "with a number theoretical approach"
PRINT "Enter the circumference K of a triangle"
PRINT "The program finds a pythagorean triangle"
PRINT "a^2 + b^2 = c^2"
INPUT "K= (0 to end) ",K 
IF K=0 THEN END 
IF K%2=0 THEN U=K/2: GOTO 200 
PRINT "K is odd, no solution": GOTO 130 
REM "Main Program"
F=0 
X=SQR(U/2)
FOR I=1 TO X 
IF U%I<>0 THEN CONT 
FOR J=1 TO I 
D=I+J 
IF U%D<>0 THEN CONT 
IF D%2=0 THEN CONT 
R=I: Q=J 
GOSUB 800 
IF R<>1 THEN CONT 
A=I*I-J*J 
B=2*I*J 
C=I*I+J*J 
PRINT "Primitive triple",A ,B, C 
PRINT "Circumference=",A+B+C 
S=K/(A+B+C)
PRINT "Scale with",S 
PRINT "Solution ",A*S, B*S, C*S 
F=1 
NEXT 
NEXT 
REM "All solutions found"
IF F=0 THEN PRINT "No solution"
GOTO 130 
REM "Find GCD"
IF R=Q THEN RETURN 
IF R>Q THEN R=R-Q 
IF Q>R THEN Q=Q-R 
GOTO 810 

	10 REM "Solves the Euler 9 problem "
	20 REM "See https://projecteuler.net/problem=9 for details"
	30 REM "with a number theoretical approach"
	100 PRINT "Enter the circumference K of a triangle"
	110 PRINT "The program finds a pythagorean triangle"
	120 PRINT "a^2 + b^2 = c^2"
	130 INPUT "K= (0 to end) ",K
	140 IF K=0 THEN END
	150 IF K%2=0 THEN U=K/2: GOTO 200
	160 PRINT "K is odd, no solution": GOTO 130
	200 REM "Main Program"
	210 F=0
	220 X=SQR(U/2)
	230 FOR I=1 TO X
	240 IF U%I<>0 THEN CONT
	250 FOR J=1 TO I
	260 D=I+J
	270 IF U%D<>0 THEN CONT
	280 IF D%2=0 THEN CONT
	290 R=I: Q=J
	300 GOSUB 800
	310 IF R<>1 THEN CONT
	320 A=II-JJ
	330 B=2IJ
	340 C=II+JJ
	350 PRINT "Primitive triple",A ,B, C
	360 PRINT "Circumference=",A+B+C
	370 S=K/(A+B+C)
	380 PRINT "Scale with",S
	390 PRINT "Solution ",AS, BS, C*S
	400 F=1
	420 NEXT
	430 NEXT
	440 REM "All solutions found"
	450 IF F=0 THEN PRINT "No solution"
	460 GOTO 130
	800 REM "Find GCD"
	810 IF R=Q THEN RETURN
	820 IF R>Q THEN R=R-Q
	830 IF Q>R THEN Q=Q-R
	840 GOTO 810