C fortran version of proving you can't win at tic-tac-toe if the opponent is competent C constants: C score win: 6 C score tie: 5 C score lose: 4 C score max: 9 C score min: 2 C piece X: 1 C piece O: 2 C piece blank: 0 program ttt integer*4 moves integer*2 b(9), sp(10), sv(10), sa(10), sb(10), sm(10) integer*2 mc, l integer*2 alpha, beta, wi, st, sc, v, p, pm, m common /area/ b,sp,sv,sa,sb,sm,mc,alpha,beta,wi,st,sc,v,p,pm,m integer*2 system do 6 l = 1, 9, 1 b( l ) = 0 6 continue moves = 0 do 10 l = 1, 10, 1 C do 10 l = 1, 1, 1 mc = 0 m = 1 call runmm m = 2 call runmm m = 5 call runmm moves = moves + mc 10 continue write( *, 20 ) moves 20 format( ' moves: ', I6 ) end 1000 subroutine runmm integer*2 b(9), sp(10), sv(10), sa(10), sb(10), sm(10) integer*2 mc, l integer*2 alpha, beta, wi, st, sc, v, p, pm, m common /area/ b,sp,sv,sa,sb,sm,mc,alpha,beta,wi,st,sc,v,p,pm,m alpha = 2 beta = 9 p = m b(m) = 1 call minmax b(m) = 0 return end 2000 subroutine winner integer*2 b(9), sp(10), sv(10), sa(10), sb(10), sm(10) integer*2 mc, l integer*2 alpha, beta, wi, st, sc, v, p, pm, m common /area/ b,sp,sv,sa,sb,sm,mc,alpha,beta,wi,st,sc,v,p,pm,m wi = b( 1 ) if ( 0 .eq. wi ) go to 2100 if ( ( wi .eq. b( 2 ) ) .and. ( wi .eq. b( 3 ) ) ) return if ( ( wi .eq. b( 4 ) ) .and. ( wi .eq. b( 7 ) ) ) return 2100 wi = b( 4 ) if ( 0 .eq. wi ) go to 2200 if ( ( wi .eq. b( 5 ) ) .and. ( wi .eq. b( 6 ) ) ) return 2200 wi = b( 7 ) if ( 0 .eq. wi ) go to 2300 if ( ( wi .eq. b( 8 ) ) .and. ( wi .eq. b( 9 ) ) ) return 2300 wi = b( 2 ) if ( 0 .eq. wi ) go to 2400 if ( ( wi .eq. b( 5 ) ) .and. ( wi .eq. b( 8 ) ) ) return 2400 wi = b( 3 ) if ( 0 .eq. wi ) go to 2500 if ( ( wi .eq. b( 6 ) ) .and. ( wi .eq. b( 9 ) ) ) return 2500 wi = b( 5 ) if ( 0 .eq. wi ) return if ( ( wi .eq. b( 1 ) ) .and. ( wi .eq. b( 9 ) ) ) return if ( ( wi .eq. b( 3 ) ) .and. ( wi .eq. b( 7 ) ) ) return wi = 0 end 4000 subroutine minmax integer*2 b(9), sp(10), sv(10), sa(10), sb(10), sm(10) integer*2 mc, l integer*2 alpha, beta, wi, st, sc, v, p, pm, m common /area/ b,sp,sv,sa,sb,sm,mc,alpha,beta,wi,st,sc,v,p,pm,m st = 0 v = 0 4100 mc = mc + 1 if ( st .lt. 4 ) go to 4150 C the computed goto is about 20% faster than calling winner C call winner go to ( 5010, 5020, 5030, 5040, 5050, 5060, 5070, 5080, 5090 ), p 4110 if ( wi .eq. 0 ) go to 4140 if ( wi .ne. 1 ) go to 4130 sc = 6 go to 4280 4130 sc = 4 go to 4280 4140 if ( st .ne. 8 ) go to 4150 sc = 5 go to 4280 4150 if ( b( p ) .eq. 1 ) go to 4160 v = 2 pm = 1 go to 4170 4160 v = 9 pm = 2 4170 p = 1 4180 if ( b( p ) .ne. 0 ) go to 4500 b( p ) = pm 4182 st = st + 1 sp( st ) = p sv( st ) = v sa( st ) = alpha sb( st ) = beta sm( st ) = pm go to 4100 4280 p = sp( st ) v = sv( st ) alpha = sa( st ) beta = sb( st ) pm = sm( st ) st = st - 1 b( p ) = 0 if ( pm .eq. 1 ) go to 4340 if ( sc .eq. 4 ) go to 4530 if ( sc .lt. v ) v = sc if ( v .lt. beta ) beta = v if ( beta .le. alpha ) go to 4520 go to 4500 4340 if ( sc .eq. 6 ) go to 4530 if ( sc .gt. v ) v = sc if ( v .gt. alpha ) alpha = v if ( alpha .ge. beta ) go to 4520 4500 p = p + 1 if ( p .lt. 10 ) go to 4180 4520 sc = v 4530 if ( st .eq. 0 ) return go to 4280 5010 wi = b(1) if ( ( wi .eq. b(2) ) .and. ( wi .eq. b(3) ) ) goto 4110 if ( ( wi .eq. b(4) ) .and. ( wi .eq. b(7) ) ) goto 4110 if ( ( wi .eq. b(5) ) .and. ( wi .eq. b(9) ) ) goto 4110 wi = 0 go to 4110 5020 wi = b(2) if ( ( wi .eq. b(1) ) .and. ( wi .eq. b(3) ) ) goto 4110 if ( ( wi .eq. b(5) ) .and. ( wi .eq. b(8) ) ) goto 4110 wi = 0 go to 4110 5030 wi = b(3) if ( ( wi .eq. b(1) ) .and. ( wi .eq. b(2) ) ) goto 4110 if ( ( wi .eq. b(6) ) .and. ( wi .eq. b(9) ) ) goto 4110 if ( ( wi .eq. b(5) ) .and. ( wi .eq. b(7) ) ) goto 4110 wi = 0 go to 4110 5040 wi = b(4) if ( ( wi .eq. b(5) ) .and. ( wi .eq. b(6) ) ) goto 4110 if ( ( wi .eq. b(1) ) .and. ( wi .eq. b(7) ) ) goto 4110 wi = 0 go to 4110 5050 wi = b(5) if ( ( wi .eq. b(1) ) .and. ( wi .eq. b(9) ) ) goto 4110 if ( ( wi .eq. b(3) ) .and. ( wi .eq. b(7) ) ) goto 4110 if ( ( wi .eq. b(2) ) .and. ( wi .eq. b(8) ) ) goto 4110 if ( ( wi .eq. b(4) ) .and. ( wi .eq. b(6) ) ) goto 4110 wi = 0 go to 4110 5060 wi = b(6) if ( ( wi .eq. b(4) ) .and. ( wi .eq. b(5) ) ) goto 4110 if ( ( wi .eq. b(3) ) .and. ( wi .eq. b(9) ) ) goto 4110 wi = 0 go to 4110 5070 wi = b(7) if ( ( wi .eq. b(8) ) .and. ( wi .eq. b(9) ) ) goto 4110 if ( ( wi .eq. b(1) ) .and. ( wi .eq. b(4) ) ) goto 4110 if ( ( wi .eq. b(5) ) .and. ( wi .eq. b(3) ) ) goto 4110 wi = 0 go to 4110 5080 wi = b(8) if ( ( wi .eq. b(7) ) .and. ( wi .eq. b(9) ) ) goto 4110 if ( ( wi .eq. b(2) ) .and. ( wi .eq. b(5) ) ) goto 4110 wi = 0 go to 4110 5090 wi = b(9) if ( ( wi .eq. b(7) ) .and. ( wi .eq. b(8) ) ) goto 4110 if ( ( wi .eq. b(3) ) .and. ( wi .eq. b(6) ) ) goto 4110 if ( ( wi .eq. b(1) ) .and. ( wi .eq. b(5) ) ) goto 4110 wi = 0 go to 4110 end