=============================================
    c4,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,8
    cc,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,8
    d0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,1,1,1,1,1,8
    dc,0,4,0,1,0,0,0,1,0,4,0,0,0,1,0,1,4,1,4,1,8
    e8,0,5,0,1,0,0,0,1,0,5,0,0,0,1,0,1,5,1,4,1,8
    c5,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,8
    c6,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,8
    d7,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,1,1,1,1,1,8
    d8,0,4,0,1,0,0,0,1,0,4,0,0,0,1,0,1,4,1,4,1,8
    e9,0,5,0,1,0,0,0,1,0,5,0,0,0,1,0,1,5,1,4,1,8
=============================================
    c4,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,9
    cc,1,0,2,1,0,1,0,1,1,1,0,1,0,1,1,1,0,1,0,1,9
    d0,1,2,1,1,0,1,0,1,2,1,0,1,0,1,1,2,1,2,0,1,9
    dc,1,4,1,1,0,1,0,1,4,1,0,1,0,4,1,2,1,2,0,1,9
    e8,1,6,1,1,0,1,0,1,6,1,0,1,0,6,1,2,1,2,0,1,9
============================================
    c4,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,10
    cc,1,3,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,10
    d0,3,0,13,1,0,0,0,1,3,1,0,0,0,1,3,1,0,0,0,3,10
    dc,4,0,1,1,0,0,0,4,3,1,0,0,0,4,3,1,0,0,0,3,10
    e8,7,0,1,7,0,0,0,4,7,1,0,0,0,4,7,1,0,7,0,3,10
============================================
    c4,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,11
    cc,1,3,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,11
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    dc,4,0,1,1,0,0,0,4,3,1,0,0,0,4,3,1,0,0,0,3,10
    e8,7,0,1,7,0,0,0,4,7,1,0,0,0,4,7,1,0,7,0,3,10
============================================
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    cc,1,3,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,12
    d0,3,0,13,1,0,0,0,1,3,1,0,0,0,1,3,1,0,0,0,3,10
    dc,4,0,1,1,0,0,0,4,3,1,0,0,0,4,3,1,0,0,0,3,10
    e8,7,0,1,7,0,0,0,4,7,1,0,0,0,4,7,1,0,7,0,3,10
============================================
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    cc,1,3,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,13
    d0,3,0,13,1,0,0,0,1,3,1,0,0,0,1,3,1,0,0,0,3,10
    dc,4,0,1,1,0,0,0,4,3,1,0,0,0,4,3,1,0,0,0,3,10
    e8,7,0,1,7,0,0,0,4,7,1,0,0,0,4,7,1,0,7,0,3,10
============================================
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    cc,1,3,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,14
    d0,3,0,13,1,0,0,0,1,3,1,0,0,0,1,3,1,0,0,0,3,10
    dc,4,0,1,1,0,0,0,4,3,1,0,0,0,4,3,1,0,0,0,3,10
    e8,7,0,1,7,0,0,0,4,7,1,0,0,0,4,7,1,0,7,0,3,10
============================================
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    cc,1,3,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,15
    d0,3,0,13,1,0,0,0,1,3,1,0,0,0,1,3,1,0,0,0,3,10
    dc,4,0,1,1,0,0,0,4,3,1,0,0,0,4,3,1,0,0,0,3,10
    e8,7,0,1,7,0,0,0,4,7,1,0,0,0,4,7,1,0,7,0,3,10
============================================
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    cc,1,3,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,16
    d0,3,0,13,1,0,0,0,1,3,1,0,0,0,1,3,1,0,0,0,3,10
    dc,4,0,1,1,0,0,0,4,3,1,0,0,0,4,3,1,0,0,0,3,10
    e8,7,0,1,7,0,0,0,4,7,1,0,0,0,4,7,1,0,7,0,3,10
============================================
    c4,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,17
    cc,1,3,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,17
    d0,3,0,13,1,0,0,0,1,3,1,0,0,0,1,3,1,0,0,0,3,10
    dc,4,0,1,1,0,0,0,4,3,1,0,0,0,4,3,1,0,0,0,3,10
    e8,7,0,1,7,0,0,0,4,7,1,0,0,0,4,7,1,0,7,0,3,10
============================================