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(defparameter *permutations*
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'("ABCD" "CABD" "ACDB" "DACB" "BCDA" "ACBD" "ADCB" "CDAB" "DABC" "BCAD" "CADB" "CDBA"
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"CBAD" "ABDC" "ADBC" "BDCA" "DCBA" "BACD" "BADC" "BDAC" "CBDA" "DBCA" "DCAB"))
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(defun missing-perm (perms)
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(let* ((letters (loop for i across (car perms) collecting i))
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(l (/ (1+ (length perms)) (length letters))))
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(labels ((enum (n) (loop for i below n collecting i))
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(least-occurs (pos)
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(let ((occurs (loop for i in perms collecting (aref i pos))))
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(cdr (assoc (1- l) (mapcar #'(lambda (letter)
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(cons (count letter occurs) letter))
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letters))))))
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(concatenate 'string (mapcar #'least-occurs (enum (length letters)))))))
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