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Subject: FRC question. Is it 960 or 1680 positions?

Author: Dann Corbit

Date: 16:26:33 06/07/04


According to this page:
http://www.chesswarrior.com/frc/frcfen.html

there are 960 FRC positions.  I calculate 1680 distinct positions.  What
happened to the other 720 positions?  Are they clear losses or something?

A list of 1680 distinct positions with king between rooks (defined by one side
here):

bbnnqrkr
bbnnrkqr
bbnnrkrq
bbnnrqkr
bbnqnrkr
bbnqrknr
bbnqrkrn
bbnqrnkr
bbnrknqr
bbnrknrq
bbnrkqnr
bbnrkqrn
bbnrkrnq
bbnrkrqn
bbnrnkqr
bbnrnkrq
bbnrnqkr
bbnrqknr
bbnrqkrn
bbnrqnkr
bbqnnrkr
bbqnrknr
bbqnrkrn
bbqnrnkr
bbqrknnr
bbqrknrn
bbqrkrnn
bbqrnknr
bbqrnkrn
bbqrnnkr
bbrknnqr
bbrknnrq
bbrknqnr
bbrknqrn
bbrknrnq
bbrknrqn
bbrkqnnr
bbrkqnrn
bbrkqrnn
bbrkrnnq
bbrkrnqn
bbrkrqnn
bbrnknqr
bbrnknrq
bbrnkqnr
bbrnkqrn
bbrnkrnq
bbrnkrqn
bbrnnkqr
bbrnnkrq
bbrnnqkr
bbrnqknr
bbrnqkrn
bbrnqnkr
bbrqknnr
bbrqknrn
bbrqkrnn
bbrqnknr
bbrqnkrn
bbrqnnkr
bnbnqrkr
bnbnrkqr
bnbnrkrq
bnbnrqkr
bnbqnrkr
bnbqrknr
bnbqrkrn
bnbqrnkr
bnbrknqr
bnbrknrq
bnbrkqnr
bnbrkqrn
bnbrkrnq
bnbrkrqn
bnbrnkqr
bnbrnkrq
bnbrnqkr
bnbrqknr
bnbrqkrn
bnbrqnkr
bnnbqrkr
bnnbrkqr
bnnbrkrq
bnnbrqkr
bnnqbrkr
bnnqrbkr
bnnqrkbr
bnnqrkrb
bnnrbkqr
bnnrbkrq
bnnrbqkr
bnnrkbqr
bnnrkbrq
bnnrkqbr
bnnrkqrb
bnnrkrbq
bnnrkrqb
bnnrqbkr
bnnrqkbr
bnnrqkrb
bnqbnrkr
bnqbrknr
bnqbrkrn
bnqbrnkr
bnqnbrkr
bnqnrbkr
bnqnrkbr
bnqnrkrb
bnqrbknr
bnqrbkrn
bnqrbnkr
bnqrkbnr
bnqrkbrn
bnqrknbr
bnqrknrb
bnqrkrbn
bnqrkrnb
bnqrnbkr
bnqrnkbr
bnqrnkrb
bnrbknqr
bnrbknrq
bnrbkqnr
bnrbkqrn
bnrbkrnq
bnrbkrqn
bnrbnkqr
bnrbnkrq
bnrbnqkr
bnrbqknr
bnrbqkrn
bnrbqnkr
bnrkbnqr
bnrkbnrq
bnrkbqnr
bnrkbqrn
bnrkbrnq
bnrkbrqn
bnrknbqr
bnrknbrq
bnrknqbr
bnrknqrb
bnrknrbq
bnrknrqb
bnrkqbnr
bnrkqbrn
bnrkqnbr
bnrkqnrb
bnrkqrbn
bnrkqrnb
bnrkrbnq
bnrkrbqn
bnrkrnbq
bnrkrnqb
bnrkrqbn
bnrkrqnb
bnrnbkqr
bnrnbkrq
bnrnbqkr
bnrnkbqr
bnrnkbrq
bnrnkqbr
bnrnkqrb
bnrnkrbq
bnrnkrqb
bnrnqbkr
bnrnqkbr
bnrnqkrb
bnrqbknr
bnrqbkrn
bnrqbnkr
bnrqkbnr
bnrqkbrn
bnrqknbr
bnrqknrb
bnrqkrbn
bnrqkrnb
bnrqnbkr
bnrqnkbr
bnrqnkrb
bqbnnrkr
bqbnrknr
bqbnrkrn
bqbnrnkr
bqbrknnr
bqbrknrn
bqbrkrnn
bqbrnknr
bqbrnkrn
bqbrnnkr
bqnbnrkr
bqnbrknr
bqnbrkrn
bqnbrnkr
bqnnbrkr
bqnnrbkr
bqnnrkbr
bqnnrkrb
bqnrbknr
bqnrbkrn
bqnrbnkr
bqnrkbnr
bqnrkbrn
bqnrknbr
bqnrknrb
bqnrkrbn
bqnrkrnb
bqnrnbkr
bqnrnkbr
bqnrnkrb
bqrbknnr
bqrbknrn
bqrbkrnn
bqrbnknr
bqrbnkrn
bqrbnnkr
bqrkbnnr
bqrkbnrn
bqrkbrnn
bqrknbnr
bqrknbrn
bqrknnbr
bqrknnrb
bqrknrbn
bqrknrnb
bqrkrbnn
bqrkrnbn
bqrkrnnb
bqrnbknr
bqrnbkrn
bqrnbnkr
bqrnkbnr
bqrnkbrn
bqrnknbr
bqrnknrb
bqrnkrbn
bqrnkrnb
bqrnnbkr
bqrnnkbr
bqrnnkrb
brbknnqr
brbknnrq
brbknqnr
brbknqrn
brbknrnq
brbknrqn
brbkqnnr
brbkqnrn
brbkqrnn
brbkrnnq
brbkrnqn
brbkrqnn
brbnknqr
brbnknrq
brbnkqnr
brbnkqrn
brbnkrnq
brbnkrqn
brbnnkqr
brbnnkrq
brbnnqkr
brbnqknr
brbnqkrn
brbnqnkr
brbqknnr
brbqknrn
brbqkrnn
brbqnknr
brbqnkrn
brbqnnkr
brkbnnqr
brkbnnrq
brkbnqnr
brkbnqrn
brkbnrnq
brkbnrqn
brkbqnnr
brkbqnrn
brkbqrnn
brkbrnnq
brkbrnqn
brkbrqnn
brknbnqr
brknbnrq
brknbqnr
brknbqrn
brknbrnq
brknbrqn
brknnbqr
brknnbrq
brknnqbr
brknnqrb
brknnrbq
brknnrqb
brknqbnr
brknqbrn
brknqnbr
brknqnrb
brknqrbn
brknqrnb
brknrbnq
brknrbqn
brknrnbq
brknrnqb
brknrqbn
brknrqnb
brkqbnnr
brkqbnrn
brkqbrnn
brkqnbnr
brkqnbrn
brkqnnbr
brkqnnrb
brkqnrbn
brkqnrnb
brkqrbnn
brkqrnbn
brkqrnnb
brkrbnnq
brkrbnqn
brkrbqnn
brkrnbnq
brkrnbqn
brkrnnbq
brkrnnqb
brkrnqbn
brkrnqnb
brkrqbnn
brkrqnbn
brkrqnnb
brnbknqr
brnbknrq
brnbkqnr
brnbkqrn
brnbkrnq
brnbkrqn
brnbnkqr
brnbnkrq
brnbnqkr
brnbqknr
brnbqkrn
brnbqnkr
brnkbnqr
brnkbnrq
brnkbqnr
brnkbqrn
brnkbrnq
brnkbrqn
brnknbqr
brnknbrq
brnknqbr
brnknqrb
brnknrbq
brnknrqb
brnkqbnr
brnkqbrn
brnkqnbr
brnkqnrb
brnkqrbn
brnkqrnb
brnkrbnq
brnkrbqn
brnkrnbq
brnkrnqb
brnkrqbn
brnkrqnb
brnnbkqr
brnnbkrq
brnnbqkr
brnnkbqr
brnnkbrq
brnnkqbr
brnnkqrb
brnnkrbq
brnnkrqb
brnnqbkr
brnnqkbr
brnnqkrb
brnqbknr
brnqbkrn
brnqbnkr
brnqkbnr
brnqkbrn
brnqknbr
brnqknrb
brnqkrbn
brnqkrnb
brnqnbkr
brnqnkbr
brnqnkrb
brqbknnr
brqbknrn
brqbkrnn
brqbnknr
brqbnkrn
brqbnnkr
brqkbnnr
brqkbnrn
brqkbrnn
brqknbnr
brqknbrn
brqknnbr
brqknnrb
brqknrbn
brqknrnb
brqkrbnn
brqkrnbn
brqkrnnb
brqnbknr
brqnbkrn
brqnbnkr
brqnkbnr
brqnkbrn
brqnknbr
brqnknrb
brqnkrbn
brqnkrnb
brqnnbkr
brqnnkbr
brqnnkrb
nbbnqrkr
nbbnrkqr
nbbnrkrq
nbbnrqkr
nbbqnrkr
nbbqrknr
nbbqrkrn
nbbqrnkr
nbbrknqr
nbbrknrq
nbbrkqnr
nbbrkqrn
nbbrkrnq
nbbrkrqn
nbbrnkqr
nbbrnkrq
nbbrnqkr
nbbrqknr
nbbrqkrn
nbbrqnkr
nbnbqrkr
nbnbrkqr
nbnbrkrq
nbnbrqkr
nbnqbrkr
nbnqrbkr
nbnqrkbr
nbnqrkrb
nbnrbkqr
nbnrbkrq
nbnrbqkr
nbnrkbqr
nbnrkbrq
nbnrkqbr
nbnrkqrb
nbnrkrbq
nbnrkrqb
nbnrqbkr
nbnrqkbr
nbnrqkrb
nbqbnrkr
nbqbrknr
nbqbrkrn
nbqbrnkr
nbqnbrkr
nbqnrbkr
nbqnrkbr
nbqnrkrb
nbqrbknr
nbqrbkrn
nbqrbnkr
nbqrkbnr
nbqrkbrn
nbqrknbr
nbqrknrb
nbqrkrbn
nbqrkrnb
nbqrnbkr
nbqrnkbr
nbqrnkrb
nbrbknqr
nbrbknrq
nbrbkqnr
nbrbkqrn
nbrbkrnq
nbrbkrqn
nbrbnkqr
nbrbnkrq
nbrbnqkr
nbrbqknr
nbrbqkrn
nbrbqnkr
nbrkbnqr
nbrkbnrq
nbrkbqnr
nbrkbqrn
nbrkbrnq
nbrkbrqn
nbrknbqr
nbrknbrq
nbrknqbr
nbrknqrb
nbrknrbq
nbrknrqb
nbrkqbnr
nbrkqbrn
nbrkqnbr
nbrkqnrb
nbrkqrbn
nbrkqrnb
nbrkrbnq
nbrkrbqn
nbrkrnbq
nbrkrnqb
nbrkrqbn
nbrkrqnb
nbrnbkqr
nbrnbkrq
nbrnbqkr
nbrnkbqr
nbrnkbrq
nbrnkqbr
nbrnkqrb
nbrnkrbq
nbrnkrqb
nbrnqbkr
nbrnqkbr
nbrnqkrb
nbrqbknr
nbrqbkrn
nbrqbnkr
nbrqkbnr
nbrqkbrn
nbrqknbr
nbrqknrb
nbrqkrbn
nbrqkrnb
nbrqnbkr
nbrqnkbr
nbrqnkrb
nnbbqrkr
nnbbrkqr
nnbbrkrq
nnbbrqkr
nnbqbrkr
nnbqrbkr
nnbqrkbr
nnbqrkrb
nnbrbkqr
nnbrbkrq
nnbrbqkr
nnbrkbqr
nnbrkbrq
nnbrkqbr
nnbrkqrb
nnbrkrbq
nnbrkrqb
nnbrqbkr
nnbrqkbr
nnbrqkrb
nnqbbrkr
nnqbrbkr
nnqbrkbr
nnqbrkrb
nnqrbbkr
nnqrbkbr
nnqrbkrb
nnqrkbbr
nnqrkbrb
nnqrkrbb
nnrbbkqr
nnrbbkrq
nnrbbqkr
nnrbkbqr
nnrbkbrq
nnrbkqbr
nnrbkqrb
nnrbkrbq
nnrbkrqb
nnrbqbkr
nnrbqkbr
nnrbqkrb
nnrkbbqr
nnrkbbrq
nnrkbqbr
nnrkbqrb
nnrkbrbq
nnrkbrqb
nnrkqbbr
nnrkqbrb
nnrkqrbb
nnrkrbbq
nnrkrbqb
nnrkrqbb
nnrqbbkr
nnrqbkbr
nnrqbkrb
nnrqkbbr
nnrqkbrb
nnrqkrbb
nqbbnrkr
nqbbrknr
nqbbrkrn
nqbbrnkr
nqbnbrkr
nqbnrbkr
nqbnrkbr
nqbnrkrb
nqbrbknr
nqbrbkrn
nqbrbnkr
nqbrkbnr
nqbrkbrn
nqbrknbr
nqbrknrb
nqbrkrbn
nqbrkrnb
nqbrnbkr
nqbrnkbr
nqbrnkrb
nqnbbrkr
nqnbrbkr
nqnbrkbr
nqnbrkrb
nqnrbbkr
nqnrbkbr
nqnrbkrb
nqnrkbbr
nqnrkbrb
nqnrkrbb
nqrbbknr
nqrbbkrn
nqrbbnkr
nqrbkbnr
nqrbkbrn
nqrbknbr
nqrbknrb
nqrbkrbn
nqrbkrnb
nqrbnbkr
nqrbnkbr
nqrbnkrb
nqrkbbnr
nqrkbbrn
nqrkbnbr
nqrkbnrb
nqrkbrbn
nqrkbrnb
nqrknbbr
nqrknbrb
nqrknrbb
nqrkrbbn
nqrkrbnb
nqrkrnbb
nqrnbbkr
nqrnbkbr
nqrnbkrb
nqrnkbbr
nqrnkbrb
nqrnkrbb
nrbbknqr
nrbbknrq
nrbbkqnr
nrbbkqrn
nrbbkrnq
nrbbkrqn
nrbbnkqr
nrbbnkrq
nrbbnqkr
nrbbqknr
nrbbqkrn
nrbbqnkr
nrbkbnqr
nrbkbnrq
nrbkbqnr
nrbkbqrn
nrbkbrnq
nrbkbrqn
nrbknbqr
nrbknbrq
nrbknqbr
nrbknqrb
nrbknrbq
nrbknrqb
nrbkqbnr
nrbkqbrn
nrbkqnbr
nrbkqnrb
nrbkqrbn
nrbkqrnb
nrbkrbnq
nrbkrbqn
nrbkrnbq
nrbkrnqb
nrbkrqbn
nrbkrqnb
nrbnbkqr
nrbnbkrq
nrbnbqkr
nrbnkbqr
nrbnkbrq
nrbnkqbr
nrbnkqrb
nrbnkrbq
nrbnkrqb
nrbnqbkr
nrbnqkbr
nrbnqkrb
nrbqbknr
nrbqbkrn
nrbqbnkr
nrbqkbnr
nrbqkbrn
nrbqknbr
nrbqknrb
nrbqkrbn
nrbqkrnb
nrbqnbkr
nrbqnkbr
nrbqnkrb
nrkbbnqr
nrkbbnrq
nrkbbqnr
nrkbbqrn
nrkbbrnq
nrkbbrqn
nrkbnbqr
nrkbnbrq
nrkbnqbr
nrkbnqrb
nrkbnrbq
nrkbnrqb
nrkbqbnr
nrkbqbrn
nrkbqnbr
nrkbqnrb
nrkbqrbn
nrkbqrnb
nrkbrbnq
nrkbrbqn
nrkbrnbq
nrkbrnqb
nrkbrqbn
nrkbrqnb
nrknbbqr
nrknbbrq
nrknbqbr
nrknbqrb
nrknbrbq
nrknbrqb
nrknqbbr
nrknqbrb
nrknqrbb
nrknrbbq
nrknrbqb
nrknrqbb
nrkqbbnr
nrkqbbrn
nrkqbnbr
nrkqbnrb
nrkqbrbn
nrkqbrnb
nrkqnbbr
nrkqnbrb
nrkqnrbb
nrkqrbbn
nrkqrbnb
nrkqrnbb
nrkrbbnq
nrkrbbqn
nrkrbnbq
nrkrbnqb
nrkrbqbn
nrkrbqnb
nrkrnbbq
nrkrnbqb
nrkrnqbb
nrkrqbbn
nrkrqbnb
nrkrqnbb
nrnbbkqr
nrnbbkrq
nrnbbqkr
nrnbkbqr
nrnbkbrq
nrnbkqbr
nrnbkqrb
nrnbkrbq
nrnbkrqb
nrnbqbkr
nrnbqkbr
nrnbqkrb
nrnkbbqr
nrnkbbrq
nrnkbqbr
nrnkbqrb
nrnkbrbq
nrnkbrqb
nrnkqbbr
nrnkqbrb
nrnkqrbb
nrnkrbbq
nrnkrbqb
nrnkrqbb
nrnqbbkr
nrnqbkbr
nrnqbkrb
nrnqkbbr
nrnqkbrb
nrnqkrbb
nrqbbknr
nrqbbkrn
nrqbbnkr
nrqbkbnr
nrqbkbrn
nrqbknbr
nrqbknrb
nrqbkrbn
nrqbkrnb
nrqbnbkr
nrqbnkbr
nrqbnkrb
nrqkbbnr
nrqkbbrn
nrqkbnbr
nrqkbnrb
nrqkbrbn
nrqkbrnb
nrqknbbr
nrqknbrb
nrqknrbb
nrqkrbbn
nrqkrbnb
nrqkrnbb
nrqnbbkr
nrqnbkbr
nrqnbkrb
nrqnkbbr
nrqnkbrb
nrqnkrbb
qbbnnrkr
qbbnrknr
qbbnrkrn
qbbnrnkr
qbbrknnr
qbbrknrn
qbbrkrnn
qbbrnknr
qbbrnkrn
qbbrnnkr
qbnbnrkr
qbnbrknr
qbnbrkrn
qbnbrnkr
qbnnbrkr
qbnnrbkr
qbnnrkbr
qbnnrkrb
qbnrbknr
qbnrbkrn
qbnrbnkr
qbnrkbnr
qbnrkbrn
qbnrknbr
qbnrknrb
qbnrkrbn
qbnrkrnb
qbnrnbkr
qbnrnkbr
qbnrnkrb
qbrbknnr
qbrbknrn
qbrbkrnn
qbrbnknr
qbrbnkrn
qbrbnnkr
qbrkbnnr
qbrkbnrn
qbrkbrnn
qbrknbnr
qbrknbrn
qbrknnbr
qbrknnrb
qbrknrbn
qbrknrnb
qbrkrbnn
qbrkrnbn
qbrkrnnb
qbrnbknr
qbrnbkrn
qbrnbnkr
qbrnkbnr
qbrnkbrn
qbrnknbr
qbrnknrb
qbrnkrbn
qbrnkrnb
qbrnnbkr
qbrnnkbr
qbrnnkrb
qnbbnrkr
qnbbrknr
qnbbrkrn
qnbbrnkr
qnbnbrkr
qnbnrbkr
qnbnrkbr
qnbnrkrb
qnbrbknr
qnbrbkrn
qnbrbnkr
qnbrkbnr
qnbrkbrn
qnbrknbr
qnbrknrb
qnbrkrbn
qnbrkrnb
qnbrnbkr
qnbrnkbr
qnbrnkrb
qnnbbrkr
qnnbrbkr
qnnbrkbr
qnnbrkrb
qnnrbbkr
qnnrbkbr
qnnrbkrb
qnnrkbbr
qnnrkbrb
qnnrkrbb
qnrbbknr
qnrbbkrn
qnrbbnkr
qnrbkbnr
qnrbkbrn
qnrbknbr
qnrbknrb
qnrbkrbn
qnrbkrnb
qnrbnbkr
qnrbnkbr
qnrbnkrb
qnrkbbnr
qnrkbbrn
qnrkbnbr
qnrkbnrb
qnrkbrbn
qnrkbrnb
qnrknbbr
qnrknbrb
qnrknrbb
qnrkrbbn
qnrkrbnb
qnrkrnbb
qnrnbbkr
qnrnbkbr
qnrnbkrb
qnrnkbbr
qnrnkbrb
qnrnkrbb
qrbbknnr
qrbbknrn
qrbbkrnn
qrbbnknr
qrbbnkrn
qrbbnnkr
qrbkbnnr
qrbkbnrn
qrbkbrnn
qrbknbnr
qrbknbrn
qrbknnbr
qrbknnrb
qrbknrbn
qrbknrnb
qrbkrbnn
qrbkrnbn
qrbkrnnb
qrbnbknr
qrbnbkrn
qrbnbnkr
qrbnkbnr
qrbnkbrn
qrbnknbr
qrbnknrb
qrbnkrbn
qrbnkrnb
qrbnnbkr
qrbnnkbr
qrbnnkrb
qrkbbnnr
qrkbbnrn
qrkbbrnn
qrkbnbnr
qrkbnbrn
qrkbnnbr
qrkbnnrb
qrkbnrbn
qrkbnrnb
qrkbrbnn
qrkbrnbn
qrkbrnnb
qrknbbnr
qrknbbrn
qrknbnbr
qrknbnrb
qrknbrbn
qrknbrnb
qrknnbbr
qrknnbrb
qrknnrbb
qrknrbbn
qrknrbnb
qrknrnbb
qrkrbbnn
qrkrbnbn
qrkrbnnb
qrkrnbbn
qrkrnbnb
qrkrnnbb
qrnbbknr
qrnbbkrn
qrnbbnkr
qrnbkbnr
qrnbkbrn
qrnbknbr
qrnbknrb
qrnbkrbn
qrnbkrnb
qrnbnbkr
qrnbnkbr
qrnbnkrb
qrnkbbnr
qrnkbbrn
qrnkbnbr
qrnkbnrb
qrnkbrbn
qrnkbrnb
qrnknbbr
qrnknbrb
qrnknrbb
qrnkrbbn
qrnkrbnb
qrnkrnbb
qrnnbbkr
qrnnbkbr
qrnnbkrb
qrnnkbbr
qrnnkbrb
qrnnkrbb
rbbknnqr
rbbknnrq
rbbknqnr
rbbknqrn
rbbknrnq
rbbknrqn
rbbkqnnr
rbbkqnrn
rbbkqrnn
rbbkrnnq
rbbkrnqn
rbbkrqnn
rbbnknqr
rbbnknrq
rbbnkqnr
rbbnkqrn
rbbnkrnq
rbbnkrqn
rbbnnkqr
rbbnnkrq
rbbnnqkr
rbbnqknr
rbbnqkrn
rbbnqnkr
rbbqknnr
rbbqknrn
rbbqkrnn
rbbqnknr
rbbqnkrn
rbbqnnkr
rbkbnnqr
rbkbnnrq
rbkbnqnr
rbkbnqrn
rbkbnrnq
rbkbnrqn
rbkbqnnr
rbkbqnrn
rbkbqrnn
rbkbrnnq
rbkbrnqn
rbkbrqnn
rbknbnqr
rbknbnrq
rbknbqnr
rbknbqrn
rbknbrnq
rbknbrqn
rbknnbqr
rbknnbrq
rbknnqbr
rbknnqrb
rbknnrbq
rbknnrqb
rbknqbnr
rbknqbrn
rbknqnbr
rbknqnrb
rbknqrbn
rbknqrnb
rbknrbnq
rbknrbqn
rbknrnbq
rbknrnqb
rbknrqbn
rbknrqnb
rbkqbnnr
rbkqbnrn
rbkqbrnn
rbkqnbnr
rbkqnbrn
rbkqnnbr
rbkqnnrb
rbkqnrbn
rbkqnrnb
rbkqrbnn
rbkqrnbn
rbkqrnnb
rbkrbnnq
rbkrbnqn
rbkrbqnn
rbkrnbnq
rbkrnbqn
rbkrnnbq
rbkrnnqb
rbkrnqbn
rbkrnqnb
rbkrqbnn
rbkrqnbn
rbkrqnnb
rbnbknqr
rbnbknrq
rbnbkqnr
rbnbkqrn
rbnbkrnq
rbnbkrqn
rbnbnkqr
rbnbnkrq
rbnbnqkr
rbnbqknr
rbnbqkrn
rbnbqnkr
rbnkbnqr
rbnkbnrq
rbnkbqnr
rbnkbqrn
rbnkbrnq
rbnkbrqn
rbnknbqr
rbnknbrq
rbnknqbr
rbnknqrb
rbnknrbq
rbnknrqb
rbnkqbnr
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