10 LET n=41: LET k=3: LET m=0
20 GO SUB 100
30 PRINT "n= ";n;TAB (7);"k= ";k;TAB (13);"final survivor= ";lm
40 STOP
100 REM Josephus
110 REM Return m-th on the reversed kill list; m=0 is final survivor.
120 LET lm=m: REM Local copy of m
130 FOR a=m+1 TO n
140 LET lm=FN m(lm+k,a)
150 NEXT a
160 RETURN
200 DEF FN m(x,y)=x-INT (x/y)*y: REM MOD function