from copy import deepcopyfrom time import clockposinfo0={(0,0):8, (2,1):3,(3,1):6, (1,2):7,(4,2):9,(6,2):2, (1,3):5,(5,3):7, (4,4):4,(5,4):5,(6,4):7, (3,5):1,(7,5):3, (2,6):1,(7,6):6,(8,6):8, (2,7):8,(3,7):5,(7,7):1, (1,8):9,(6,8):4, }posb0={}def init(posb, posinfo): for i in xrange(0,9): for j in xrange(0,9): if (i,j) not in posinfo: posb[(i,j)]=[n for n in xrange(1,10)] for pos in posinfo: cleanother(0,pos[0],pos[1],posinfo[pos],posb,posinfo)def checkpos(posb, posinfo): posb1=posb.copy() posinfo1=posinfo.copy() ret=0 for pos in posb: if len(posb1[(pos[0],pos[1])])==1: addinfo(pos[0],pos[1],posb1[(pos[0],pos[1])][0],posb1,posinfo1) ret=1 break elif len(posb1[(pos[0],pos[1])])==0: ret=2 break posb=posb1 posinfo=posinfo1 return retdef cleanother(mod,x,y,v,posb,posinfo): posb1=posb.copy() x0=x/3*3 y0=y/3*3 for ii in xrange(0,3): for jj in xrange(0,3): if (x0+ii,y0+jj) in posb: if v in posb1[(x0+ii,y0+jj)]: posb1[(x0+ii,y0+jj)].remove(v) for ii in xrange(0,9): if (ii,y) in posb: if v in posb1[(ii,y)]: posb1[(ii,y)].remove(v) for jj in xrange(0,9): if (x,jj) in posb: if v in posb1[(x,jj)]: posb1[(x,jj)].remove(v) ret=0 if posb1!=posb: ret = checkpos(posb1,posinfo) posb=posb1 return retdef findmin(posb): minv=9 minpos=(0,0) for key,val in posb.items(): if minv>len(val): minv=len(val) minpos=key return (minv,minpos)def outputInfo(posinfo): print "\n %s"%" ".join(str(v) for v in xrange(0,9)) print "-----------"*2 for i in xrange(0,9): print "%d|"%i, for j in xrange(0,9): if (j,i) in posinfo: print posinfo[(j,i)], else: print " ", print print "==========="*2 def addinfo(x,y,v,posb,posinfo): if (x,y) in posinfo:return #print "addinfo",x,y,v if (x,y) in posb: del posb[(x,y)] posinfo[(x,y)]=v clearallinfo(posb,posinfo) #outputInfo(posinfo) def clearallinfo(newposb, newposinfo): newposinfo2=newposinfo.copy() for pos in newposinfo: cleanother(0,pos[0],pos[1],newposinfo[pos],newposb,newposinfo2) if newposinfo2==newposinfo: return newposinfo=newposinfo2 #print "newposinfo" #outputInfo(newposinfo) clearallinfo(newposb, newposinfo) def tryonestep(minpos, posb, posinfo, layer): global tic for posbv in posb[minpos]: newposb=deepcopy(posb) newposinfo=posinfo.copy() addinfo(minpos[0],minpos[1],posbv,newposb,newposinfo) #print posb[minpos], newposb[minpos] #outputInfo(newposinfo) minv2,minpos2=findmin(newposb) #outputInfo(newposinfo) #print minpos2, newposb[minpos2] if minv2==0: #print "impossible!!!", layer continue if len(newposb)==0: print "Got it!!!" outputInfo(newposinfo) print "elapsed:", clock()-tic exit(0) tryonestep(minpos2, newposb, newposinfo, layer+1) tic=clock() init(posb0, posinfo0) minv,minpos=findmin(posb0) print "start===>"outputInfo(posinfo0)newposb=posb0.copy()newposinfo=posinfo0.copy()tryonestep(minpos, newposb, newposinfo, 0)print "No answer!!"
