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Task/ABC-problem/REXX/abc-problem-2.rexx
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Task/ABC-problem/REXX/abc-problem-2.rexx
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/* REXX ---------------------------------------------------------------
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* 10.01.2014 Walter Pachl counts the number of possible ways
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* 12.01.2014 corrected date and output
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*--------------------------------------------------------------------*/
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show=(arg(1)<>'')
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blocks = 'BO XK DQ CP NA GT RE TG QD FS JW HU VI AN OB ER FS LY PC ZM'
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list = '$ A baRk bOOk trEat coMMon squaD conFuse'
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list=translate(list)
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Do i=1 To words(blocks)
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blkn.i=word(blocks,i)'-'i
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blk.i=word(blocks,i)
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End
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w.=''
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wlen=0
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Do i=1 To words(list)
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w.i=word(list,i)
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wlen=max(wlen,length(w.i))
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End
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Do wi=0 To words(list)
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word = w.wi
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ways=0
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poss.=0
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lw=length(word)
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cannot=0
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Do i=1 To lw /* loop over the characters */
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c=substr(word,i,1) /* the current character */
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Do j=1 To words(blocks) /* loop over blocks */
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blk=word(blocks,j)
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If pos(c,blk)>0 Then Do /* block can be used in this position */
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z=poss.i.0+1
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poss.i.z=j
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poss.i.0=z /* number of possible blocks for pos i */
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End
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End
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If poss.i.0=0 Then Do
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cannot=1
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Leave i
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End
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End
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If cannot=0 Then Do /* no prohibitive character */
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s.=0
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Do j=1 To poss.1.0 /* build possible strings for char 1 */
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z=s.1.0+1
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s.1.z=poss.1.j
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s.1.0=z
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End
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Do i=2 To lw /* build possible strings for chars 1 to i */
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ii=i-1
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Do j=1 To poss.i.0
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Do k=1 To s.ii.0
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z=s.i.0+1
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s.i.z=s.ii.k poss.i.j
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s.i.0=z
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End
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End
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End
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Do p=1 To s.lw.0 /* loop through all possible strings */
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v=valid(s.lw.p) /* test if the string is valid*/
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If v Then Do /* it is */
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ways=ways+1 /* increment number of ways */
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way.ways='' /* and store the string's blocks */
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Do ii=1 To lw
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z=word(s.lw.p,ii)
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way.ways=way.ways blk.z
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End
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End
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End
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End
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/*---------------------------------------------------------------------
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* now show the result
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*--------------------------------------------------------------------*/
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ol=left(''''word'''',wlen+2)
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Select
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When ways=0 Then
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ol=ol 'cannot be spelt'
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When ways=1 Then
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ol=ol 'can be spelt'
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Otherwise
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ol=ol 'can be spelt in' ways 'ways'
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End
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Say ol'.'
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If show Then Do
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Do wj=1 To ways
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Say copies(' ',10) way.wj
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End
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End
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End
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Exit
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valid: Procedure
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/*---------------------------------------------------------------------
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* Check if the same block is used more than once -> 0
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* Else: the combination is valid
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*--------------------------------------------------------------------*/
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Parse Arg list
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used.=0
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Do i=1 To words(list)
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w=word(list,i)
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If used.w Then Return 0
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used.w=1
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End
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Return 1
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