Mercurial > hg > python
annotate nono.py @ 8:3276cf6ee6df
vastly simplified onePass, printing rows working
author | Henry S. Thompson <ht@inf.ed.ac.uk> |
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date | Wed, 11 Mar 2020 19:52:22 +0000 |
parents | 13f600be3a1b |
children | 28a7b0e992cb |
rev | line source |
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1 #!/usr/bin/python3 |
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2 # Expects e.g. ^A copy from Nonograms dprint preview cols, then blank line, then rows |
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3 # rows are space-separated |
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4 # cols are one-digit-after-another, unless some 2-digit, in which case x is separator |
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5 # E.g. |
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6 # 13x1x2 |
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7 # 19 |
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8 # maps to |
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9 # 13 |
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10 # 1 1 |
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11 # 2 9 |
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12 |
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13 import sys |
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14 |
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15 Red='[31m' |
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16 eRed='[39m' |
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17 RedFmt=Red+'%s '+eRed |
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18 |
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19 def interleave(*args): |
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20 for vals in zip(*args): |
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21 yield from vals |
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22 |
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23 class Vector(list): |
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24 # reads top-to-bottom or left-to-right |
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25 def __init__(self,n,m,runs): |
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26 list.__init__(self,list(range(n))) |
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27 self.n=n |
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28 self.margin0=0 # a run can start here, so if >0 then self[m0-1].val must be False |
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29 self.marginN=n-1 # a run can end here, so if <n-1 then self[mN+1].val ditto |
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30 self.runs=self.origRuns=runs |
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31 self.initialComplete=[] |
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32 self.finalComplete=[] |
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33 self.resetAllRuns() |
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34 |
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35 def __repr__(self): |
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36 return "V@%s%s:%s"%(self.x,self.origRuns,list.__repr__(self)) |
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37 |
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38 def __str__(self): |
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39 return '%s|'%('|'.join(str(c) for c in self)) |
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40 |
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41 def myPrintSize(self): |
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42 return sum(len(str(run)) for run in self.runs)+len(self.runs)-1 |
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43 |
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44 def resetAllRuns(self): |
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45 # compute the set of all possible layouts for runs |
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46 self.rn=len(self.runs) |
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47 rtot=sum(self.runs) |
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48 self.allRuns=list(self.seedList(0,0,0, |
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49 sum(1+self.runs[k] for k in range(self.rn))-1)) |
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50 self.nar=len(self.allRuns) |
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51 |
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52 def seedList(self,i,j,pos,runLen): |
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53 """ |
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54 :param i: starting skip before next run |
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55 :type i: 0 if pos==0 else 1 |
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56 :param j: next run number |
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57 :type j: int |
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58 :param pos: left margin |
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59 :type pos: int |
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60 """ |
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61 bound=self.n-(pos+runLen)+1 |
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62 #dprint('s',i,j,pos,runLen,bound) |
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63 if j==self.rn: |
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64 yield [] |
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65 return |
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66 r=self.runs[j] |
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67 for v in range(i,bound): |
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68 for sub in self.seedList(1,j+1,pos+v+r,runLen-(r+1)): |
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69 yield [-v,r]+sub |
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70 |
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71 def step(self): |
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72 scratch=[0 if c.val is None else c.val for c in self] |
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73 wins=0 |
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74 for k,runs in enumerate(self.allRuns): |
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75 dprint('=====pass %s======'%k) |
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76 if self.onepass(self.margin0,self.marginN+1,scratch,runs.copy()): |
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77 wins+=1 |
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78 dprint(wins, scratch) |
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79 newSeq=False |
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80 inSeq=False |
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81 for i in range(self.n): |
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82 if scratch[i]==wins: |
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83 # If blobby in _every_ pass, then must be a blob |
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84 if inSeq: |
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85 newSeq=False |
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86 else: |
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87 inSeq=True |
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88 newSeq=True |
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89 if self[i].val is None: |
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90 self.newBlob(i,newSeq) |
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91 elif self[i].val is True: |
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92 # already there |
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93 pass |
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94 else: |
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95 print("Shouldn't happen: attempt to blob where x already present! %s at %s"%(self,i),file=sys.stderr) |
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96 exit(101) |
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97 else: |
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98 inSeq=newSeq=False |
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99 |
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100 def onepass(self,i0,iBound,scratch,stack): |
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101 """note that stack is not a simple run, but one with _negative_ numbers between |
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102 and possibly before the positive ones, indicating obligatory skips |
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103 """ |
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104 i=i0 # starting index into self/scratch/maybe |
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105 maybe=[0]*(iBound-i0) |
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106 dprint('r: %s'%stack) |
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107 req=sum((-r if r<0 else r) for r in stack) |
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108 while stack and i<iBound: |
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109 r=rr=stack.pop(0) |
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110 dprint('pop:',r) |
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111 if r<1: |
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112 # obligatory skip |
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113 # (Above init of self.allRuns is easier if we allow a 0 to be ignored |
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114 for k in range(i,i-r): |
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115 if self[k] is True: |
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116 # has to be False or None to skip |
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117 dprint('x0',k) |
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118 return False |
0
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119 i-=r |
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120 req+=r |
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121 r=rr=stack.pop(0) |
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122 # rr is run remaining -- how many we still need |
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123 # First, check if we can start here: 0 is OK, and n>0 iff n-1 is None or False |
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124 # if i>0 and self[i-1].val is True: |
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125 # dprint('x1',i) |
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126 # return |
0
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127 if (iBound-i)<req: |
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128 # Can't win, give up altogether |
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129 dprint('x2',i,iBound,req) |
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130 return False |
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131 j=i # start of run, if we find it |
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132 gapsFilled=0 |
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133 dprint('top:',j) |
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134 while rr>0: |
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135 # guaranteed by check above that we won't run over the far end |
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136 c=self[i].val |
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137 if c is False: |
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138 dprint('x3',i) |
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139 return False |
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140 if c is None: |
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141 # we could add a blob here |
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142 gapsFilled+=1 |
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143 # and a blob already present is OK |
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144 rr-=1 |
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145 i+=1 |
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146 # Maybe a win? |
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147 # look ahead, can we stop here? |
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148 if i<self.n and self[i].val is True: |
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149 dprint('x4',i) |
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150 return False |
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151 elif gapsFilled==0: |
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152 # We must have crossed at least one gap... |
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153 print("Shouldn't happen: no gap! me:%s i:%s j:%s rr:%s"%(self,i, j, rr),file=sys.stderr) |
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154 raise Exception |
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155 # Victory! |
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156 dprint('c6',r,j,i) |
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157 for k in range(j,i): |
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158 maybe[k]+=1 |
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159 req-=r |
0
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160 # on to the next run |
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161 # end of inner loop, did we win? |
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162 if (not stack) or i==iBound: |
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163 # yes |
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164 dprint('win:',maybe) |
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165 for k in range(iBound): |
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166 scratch[k]+=maybe[k] |
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167 return True |
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168 print("Shouldn't happen? - fell through",stack,i,iBound) |
0
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169 |
6
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170 def checkNew(self,pos): |
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171 # New blob at pos, can we complete anything? |
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172 # Assuming @@ FTTB that it's never possible to definitively complete a |
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173 # non-marginal run, which is wrong if the length is unique and it's bounded... |
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174 changed=False |
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175 # First, find our boundaries: |
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176 s=pos # start index of our run |
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177 while s>self.margin0 and self[s-1].val is True: |
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178 s-=1 |
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179 f=pos # finish index of our run |
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180 while f<self.marginN and self[f+1].val is True: |
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181 f+=1 |
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182 l=(f-s)+1 # our length |
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183 c=self.runs.count(l) |
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184 if c==0: |
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185 # not big enough yet |
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186 dprint('n0') |
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187 return |
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188 j=self.runs.index(l) |
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189 if j==0: |
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190 # is it safely left marginal, i.e. no blobs or big enough gaps before us? |
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191 if self.marginal(range(self.margin0,s),l): |
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192 changed=True |
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193 # mark our margins |
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194 for i in range(self.margin0+1,s): |
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195 if self[i].val is None: |
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196 self[i].setVal(False) |
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197 if f<self.marginN-1: |
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198 if self[f+1].val is None: |
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199 self[f+1].setVal(False) |
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200 if f<self.marginN-2 and self[f+2].val is True: |
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201 dprint('n1') |
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202 self.checkNew(f+2) # I think@@ |
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203 self.found0(f) # pull in the start margin at least to f+2 |
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204 elif j==self.rn-1: |
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205 # is it safely _right_ marginal, i.e. no blobs or big enough gaps _after_ us? |
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206 if self.marginal(range(self.marginN-1,r,-1),l): |
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207 changed=True |
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208 # mark our margins |
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209 for i in range(self.marginN-1,f,-1): |
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210 if self[i].val is None: |
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211 self[i].setVal(False) |
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212 if s>self.margin0+1: |
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213 if self[s-1].val is None: |
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214 self[s-1].setVal(False) |
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215 if s>self.margin0+2 and self[s-2].val is True: |
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216 dprint('n2') |
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217 self.checkNew(s-2) # I think@@ |
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218 self.foundN(s) # pull in the finish margin at least to s-2 |
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219 if changed: |
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220 self.resetAllRuns() |
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221 |
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222 def marginal(self,rng,l): |
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223 g=0 # length of a gap |
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224 for i in rng: |
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225 if self[i].val is True: |
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226 return False |
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227 if self[i].val is False: |
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228 g=0 |
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229 else: |
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230 # None |
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231 g+=1 |
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232 if g==l: |
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233 return False |
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234 return True |
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235 |
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236 def found0(self,i): |
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237 dprint('found0 called on %s at %s'%(self,i)) |
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238 i=self.margin0 |
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239 while self[i].val is False: |
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240 i+=1 |
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241 if self[i].val is True: |
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242 r=self.runs.pop(0) |
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243 self.initialComplete.append(r) |
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244 self.margin0+=r+1 |
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245 self.updateHeader(r=r) |
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246 |
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247 def foundN(self,i): |
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248 print('foundN called on %s at %s'%(self,i),file=sys.stderr) |
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249 |
0
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250 class Row(Vector): |
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251 def __init__(self,n,m,runs,pos): |
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252 Vector.__init__(self,n,m,runs) |
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253 self.y=pos |
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254 self.width=self.myPrintSize() |
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255 |
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256 def __str__(self): |
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257 return ((self.fmt%(' '.join(str(r) for r in self.runs)))+ |
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258 Vector.__str__(self)) |
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259 |
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260 def updateHeader(self,maxWidth=None,r=None): |
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261 if maxWidth is None: |
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262 # update |
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263 self.infix+=RedFmt%r |
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264 self.fmt="%s%s%%s|"%(self.prespace,self.infix) |
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265 else: |
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266 # init |
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267 self.maxWidth=maxWidth |
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268 self.prespace=' '*(maxWidth-self.width) |
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269 self.fmt="%s%%s|"%self.prespace |
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270 self.infix="" |
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271 |
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272 def newBlob(self,x,newSeq): |
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273 self[x].setVal(True) |
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274 self[x].column.checkNew(self.y) |
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275 if newSeq: |
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276 # We don't always check ourself, to avoid unnecessary duplication... |
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277 self.checkNew(x) |
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278 |
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279 class Column(Vector): |
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280 def __init__(self,n,m,runs,pos): |
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281 Vector.__init__(self,n,m,runs) |
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282 self.x=pos |
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283 self.height=self.myPrintSize() |
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284 |
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285 def updateHeader(self,maxHeight): |
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286 self.maxHeight=maxHeight |
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287 self.fmt="%s%%s"%(' '*(maxHeight - self.height)) |
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288 header=('-'.join(str(c) for c in self.runs)) |
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289 self.header=self.fmt%header # pad to same 'height' |
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290 |
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291 def newBlob(self,y,newSeq): |
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292 self[y].setVal(True) |
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293 self[y].row.checkNew(self.x) |
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294 if newSeq: |
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295 # We don't always check ourself, to avoid unnecessary duplication... |
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296 self.checkNew(y) |
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297 |
0
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298 class Cell: |
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299 def __init__(self,row,y,column,x): |
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300 # At the intersection of row and column Vectors |
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301 self.row=row |
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302 self.column=column |
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303 self.x=x |
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304 self.y=y |
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305 self.val=None # three valued: None(unknown), True(filled), False(empty) |
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306 self.row[x]=self |
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307 self.column[y]=self |
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308 |
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309 def __repr__(self): |
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310 return "C@(%s,%s):%s"%(self.x,self.y,self.val) |
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311 |
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312 def __str__(self): |
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313 return ' ' if self.val is None else ('\u25A0' if self.val else 'x') |
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314 |
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315 def setVal(self,v): |
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316 if v is True: |
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317 if self.val is False: |
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318 print("Warning: x -> * at %s,%s"%(self.x,self.y),file=sys.stderr) |
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319 elif self.val is True: |
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320 # No-op |
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321 return |
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322 self.val=v |
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323 else: |
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324 if self.val is not None: |
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325 print("Warning: %s -> %s at %s,%s"%(self.val,v,self.x,self.y),file=sys.stderr) |
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326 self.val=v |
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327 |
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328 class Nono(dict): |
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329 # 0,0 is upper left, so increasing y goes _downwards_, to match the standard layout |
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330 def __init__(self,runsPerRow,runsPerCol): |
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331 n=self.n=len(runsPerCol) |
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332 if n!=len(runsPerRow): |
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333 print("losing r:%s x c:%s"%(len(runsPerRow),n),sys.stderr) |
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334 exit(1) |
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335 self.rc=runsPerRow |
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336 self.cc=runsPerCol |
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337 # print col nums>9 vertically :-( |
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338 self.columns=cc=[Column(n,self,runsPerCol[i],i) for i in range(20)] |
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339 self.maxCRheight=maxCRheight=max(col.height for col in cc) |
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340 for c in cc: |
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341 c.updateHeader(maxCRheight) |
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342 self.rows=rr=[Row(n,self,runsPerRow[i],i) for i in range(20)] |
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343 maxRRwidth=max(row.width for row in rr) |
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344 for r in rr: |
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345 r.updateHeader(maxRRwidth) |
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346 self.rowfmt="%s|%%s|"%(' '*maxRRwidth) |
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347 for x in range(20): |
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348 for y in range(20): |
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349 self[(x,y)]=Cell(rr[y],y,cc[x],x) |
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350 |
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351 def __str__(self): |
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352 lines=[self.rowfmt%('|'.join([(self.columns[i]).header[j] for i in range(self.n)])) # 'rotate' |
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353 for j in range(self.maxCRheight)] |
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354 lines+=[str(r) for r in self.rows] |
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355 return "\n".join(lines) |
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356 |
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357 def dprint(*args): |
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358 pass #print(*args) |
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359 |
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360 if __name__ == '__main__': |
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361 if len(sys.argv)>1: |
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362 f=open(sys.argv[1]) |
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363 else: |
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364 f=sys.stdin |
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365 |
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366 cols=[] |
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367 |
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368 for l in f: |
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369 l=l.rstrip() |
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370 if l=='': |
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371 break |
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372 if 'x' in l: |
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373 vv=[int(s) for s in l.split('x')] |
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374 else: |
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375 vv=[int(c) for c in l] |
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376 cols.append(vv) |
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377 |
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378 rows=[[int(s) for s in l.split()] for l in f] |
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379 |
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380 solver=Nono(rows,cols) |
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381 print(solver) |
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382 for c in solver.columns: |
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383 c.step() |
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384 print() |
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385 print(solver) |
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386 for r in solver.rows: |
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387 r.step() |
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388 print() |
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389 print(solver) |