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/ initial state
x:.:'"200370009009200007001004002050000800008000900006000040900100500800007600400089001"
/ breadth search all solutions (p:row col box for each position)
*(,x)(,/{@[x;y;:;]'&~in[!10]x*|/p[;y]=p,:3/:_(p:9\:!81)%3}')/&~x