/****************************************************************************** * $Id: aigccitt.c,v 1.4 2002/10/31 03:55:46 warmerda Exp $ * * Project: Arc/Info Binary Grid Translator * Purpose: Code for decoding CCITT RLE (G1) compressed data. * Author: Frank Warmerdam, warmerdam@pobox.com * Code derived from libtiff (tif_fax3), which originally was * derived from code by Fred Cringle in viewfax. * ****************************************************************************** * Copyright (c) 2002 Frank Warmerdam * Copyright (c) 1990-1997 Sam Leffler * Copyright (c) 1991-1997 Silicon Graphics, Inc. * * Permission to use, copy, modify, distribute, and sell this software and * its documentation for any purpose is hereby granted without fee, provided * that (i) the above copyright notices and this permission notice appear in * all copies of the software and related documentation, and (ii) the names of * Sam Leffler and Silicon Graphics may not be used in any advertising or * publicity relating to the software without the specific, prior written * permission of Sam Leffler and Silicon Graphics. * * THE SOFTWARE IS PROVIDED "AS-IS" AND WITHOUT WARRANTY OF ANY KIND, * EXPRESS, IMPLIED OR OTHERWISE, INCLUDING WITHOUT LIMITATION, ANY * WARRANTY OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE. * * IN NO EVENT SHALL SAM LEFFLER OR SILICON GRAPHICS BE LIABLE FOR * ANY SPECIAL, INCIDENTAL, INDIRECT OR CONSEQUENTIAL DAMAGES OF ANY KIND, * OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, * WHETHER OR NOT ADVISED OF THE POSSIBILITY OF DAMAGE, AND ON ANY THEORY OF * LIABILITY, ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE * OF THIS SOFTWARE. ****************************************************************************** * * $Log: aigccitt.c,v $ * Revision 1.4 2002/10/31 03:55:46 warmerda * make some more stuff static * * Revision 1.3 2002/10/31 03:53:22 warmerda * fixed special types * * Revision 1.2 2002/10/31 03:24:49 warmerda * fixed assert * * Revision 1.1 2002/10/31 03:07:58 warmerda * New * */ #include #include "aigrid.h" /* ==================================================================== */ /* Various declarations for the decompression state machine */ /* cribbed from tif_fax3.h in libtiff. */ /* ==================================================================== */ #define FAXMODE_CLASSIC 0x0000 /* default, include RTC */ #define FAXMODE_NORTC 0x0001 /* no RTC at end of data */ #define FAXMODE_NOEOL 0x0002 /* no EOL code at end of row */ #define FAXMODE_BYTEALIGN 0x0004 /* byte align row */ #define FAXMODE_WORDALIGN 0x0008 /* word align row */ #define FAXMODE_CLASSF FAXMODE_NORTC /* TIFF Class F */ /* * To override the default routine used to image decoded * spans one can use the pseduo tag TIFFTAG_FAXFILLFUNC. * The routine must have the type signature given below; * for example: * * fillruns(unsigned char* buf, uint32* runs, uint32* erun, uint32 lastx) * * where buf is place to set the bits, runs is the array of b&w run * lengths (white then black), erun is the last run in the array, and * lastx is the width of the row in pixels. Fill routines can assume * the run array has room for at least lastx runs and can overwrite * data in the run array as needed (e.g. to append zero runs to bring * the count up to a nice multiple). */ typedef void (*TIFFFaxFillFunc)(unsigned char*, GUInt32*, GUInt32*, GUInt32); /* finite state machine codes */ #define S_Null 0 #define S_Pass 1 #define S_Horiz 2 #define S_V0 3 #define S_VR 4 #define S_VL 5 #define S_Ext 6 #define S_TermW 7 #define S_TermB 8 #define S_MakeUpW 9 #define S_MakeUpB 10 #define S_MakeUp 11 #define S_EOL 12 typedef struct { /* state table entry */ unsigned char State; /* see above */ unsigned char Width; /* width of code in bits */ GUInt32 Param; /* unsigned 32-bit run length in bits */ } TIFFFaxTabEnt; static const TIFFFaxTabEnt TIFFFaxMainTable[128] = { 12,7,0,3,1,0,5,3,1,3,1,0,2,3,0,3,1,0,4,3,1,3,1,0,1,4,0,3,1,0,5,3,1,3,1,0, 2,3,0,3,1,0,4,3,1,3,1,0,5,6,2,3,1,0,5,3,1,3,1,0,2,3,0,3,1,0,4,3,1,3,1,0, 1,4,0,3,1,0,5,3,1,3,1,0,2,3,0,3,1,0,4,3,1,3,1,0,5,7,3,3,1,0,5,3,1,3,1,0, 2,3,0,3,1,0,4,3,1,3,1,0,1,4,0,3,1,0,5,3,1,3,1,0,2,3,0,3,1,0,4,3,1,3,1,0, 4,6,2,3,1,0,5,3,1,3,1,0,2,3,0,3,1,0,4,3,1,3,1,0,1,4,0,3,1,0,5,3,1,3,1,0, 2,3,0,3,1,0,4,3,1,3,1,0,6,7,0,3,1,0,5,3,1,3,1,0,2,3,0,3,1,0,4,3,1,3,1,0, 1,4,0,3,1,0,5,3,1,3,1,0,2,3,0,3,1,0,4,3,1,3,1,0,5,6,2,3,1,0,5,3,1,3,1,0, 2,3,0,3,1,0,4,3,1,3,1,0,1,4,0,3,1,0,5,3,1,3,1,0,2,3,0,3,1,0,4,3,1,3,1,0, 4,7,3,3,1,0,5,3,1,3,1,0,2,3,0,3,1,0,4,3,1,3,1,0,1,4,0,3,1,0,5,3,1,3,1,0, 2,3,0,3,1,0,4,3,1,3,1,0,4,6,2,3,1,0,5,3,1,3,1,0,2,3,0,3,1,0,4,3,1,3,1,0, 1,4,0,3,1,0,5,3,1,3,1,0,2,3,0,3,1,0,4,3,1,3,1,0 }; static const TIFFFaxTabEnt TIFFFaxWhiteTable[4096] = { 12,11,0,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14, 7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,7,8,39,7,6,16,9,8,576,7,4,6, 7,7,19,7,5,8,7,8,55,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,45,7,4,3,7,5,11,7,4,5, 7,8,53,7,5,9,9,8,448,7,4,6,7,8,35,9,5,128,7,8,51,7,6,15,7,8,63,7,4,4,7,4,2,7,4,7, 7,6,13,7,4,3,9,9,1472,7,4,5,7,8,43,7,6,17,9,9,1216,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,7,8,29,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6, 7,8,33,9,5,128,7,8,49,7,6,14,7,8,61,7,4,4,7,4,2,7,4,7,7,8,47,7,4,3,7,8,59,7,4,5, 7,8,41,7,6,16,9,9,960,7,4,6,7,8,31,7,5,8,7,8,57,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,9,704,7,4,6,7,8,37,9,5,128,7,7,25,7,6,15, 9,8,320,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6, 7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,11,11,1792,7,4,3,7,5,11,7,4,5, 7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7, 7,7,23,7,4,3,7,7,27,7,4,5,7,8,40,7,6,16,9,9,832,7,4,6,7,7,19,7,5,8,7,8,56,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,7,8,46,7,4,3,7,5,11,7,4,5,7,8,54,7,5,9,9,8,512,7,4,6, 7,8,36,9,5,128,7,8,52,7,6,15,7,8,0,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1600,7,4,5, 7,8,44,7,6,17,9,9,1344,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 7,8,30,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,8,34,9,5,128,7,8,50,7,6,14, 7,8,62,7,4,4,7,4,2,7,4,7,7,8,48,7,4,3,7,8,60,7,4,5,7,8,42,7,6,16,9,9,1088,7,4,6, 7,8,32,7,5,8,7,8,58,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5, 7,7,26,7,5,9,9,8,640,7,4,6,7,8,38,9,5,128,7,7,25,7,6,15,9,8,384,7,4,4,7,4,2,7,4,7, 7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,0,0,0,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6, 7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5, 7,8,39,7,6,16,9,8,576,7,4,6,7,7,19,7,5,8,7,8,55,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 7,8,45,7,4,3,7,5,11,7,4,5,7,8,53,7,5,9,9,8,448,7,4,6,7,8,35,9,5,128,7,8,51,7,6,15, 7,8,63,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1536,7,4,5,7,8,43,7,6,17,9,9,1280,7,4,6, 7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,29,7,4,3,7,5,11,7,4,5, 7,6,12,7,5,9,9,6,1664,7,4,6,7,8,33,9,5,128,7,8,49,7,6,14,7,8,61,7,4,4,7,4,2,7,4,7, 7,8,47,7,4,3,7,8,59,7,4,5,7,8,41,7,6,16,9,9,1024,7,4,6,7,8,31,7,5,8,7,8,57,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,9,768,7,4,6, 7,8,37,9,5,128,7,7,25,7,6,15,9,8,320,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5, 7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 11,11,1856,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14, 7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,7,8,40,7,6,16,9,9,896,7,4,6, 7,7,19,7,5,8,7,8,56,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,46,7,4,3,7,5,11,7,4,5, 7,8,54,7,5,9,9,8,512,7,4,6,7,8,36,9,5,128,7,8,52,7,6,15,7,8,0,7,4,4,7,4,2,7,4,7, 7,6,13,7,4,3,9,9,1728,7,4,5,7,8,44,7,6,17,9,9,1408,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,7,8,30,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6, 7,8,34,9,5,128,7,8,50,7,6,14,7,8,62,7,4,4,7,4,2,7,4,7,7,8,48,7,4,3,7,8,60,7,4,5, 7,8,42,7,6,16,9,9,1152,7,4,6,7,8,32,7,5,8,7,8,58,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,8,640,7,4,6,7,8,38,9,5,128,7,7,25,7,6,15, 9,8,384,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6, 7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,0,0,0,7,4,3,7,5,11,7,4,5, 7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7, 7,7,23,7,4,3,7,7,27,7,4,5,7,8,39,7,6,16,9,8,576,7,4,6,7,7,19,7,5,8,7,8,55,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,7,8,45,7,4,3,7,5,11,7,4,5,7,8,53,7,5,9,9,8,448,7,4,6, 7,8,35,9,5,128,7,8,51,7,6,15,7,8,63,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1472,7,4,5, 7,8,43,7,6,17,9,9,1216,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 7,8,29,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,8,33,9,5,128,7,8,49,7,6,14, 7,8,61,7,4,4,7,4,2,7,4,7,7,8,47,7,4,3,7,8,59,7,4,5,7,8,41,7,6,16,9,9,960,7,4,6, 7,8,31,7,5,8,7,8,57,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5, 7,7,26,7,5,9,9,9,704,7,4,6,7,8,37,9,5,128,7,7,25,7,6,15,9,8,320,7,4,4,7,4,2,7,4,7, 7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,11,12,2112,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6, 7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5, 7,8,40,7,6,16,9,9,832,7,4,6,7,7,19,7,5,8,7,8,56,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 7,8,46,7,4,3,7,5,11,7,4,5,7,8,54,7,5,9,9,8,512,7,4,6,7,8,36,9,5,128,7,8,52,7,6,15, 7,8,0,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1600,7,4,5,7,8,44,7,6,17,9,9,1344,7,4,6, 7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,30,7,4,3,7,5,11,7,4,5, 7,6,12,7,5,9,9,6,1664,7,4,6,7,8,34,9,5,128,7,8,50,7,6,14,7,8,62,7,4,4,7,4,2,7,4,7, 7,8,48,7,4,3,7,8,60,7,4,5,7,8,42,7,6,16,9,9,1088,7,4,6,7,8,32,7,5,8,7,8,58,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,8,640,7,4,6, 7,8,38,9,5,128,7,7,25,7,6,15,9,8,384,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5, 7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 0,0,0,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14, 7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,7,8,39,7,6,16,9,8,576,7,4,6, 7,7,19,7,5,8,7,8,55,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,45,7,4,3,7,5,11,7,4,5, 7,8,53,7,5,9,9,8,448,7,4,6,7,8,35,9,5,128,7,8,51,7,6,15,7,8,63,7,4,4,7,4,2,7,4,7, 7,6,13,7,4,3,9,9,1536,7,4,5,7,8,43,7,6,17,9,9,1280,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,7,8,29,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6, 7,8,33,9,5,128,7,8,49,7,6,14,7,8,61,7,4,4,7,4,2,7,4,7,7,8,47,7,4,3,7,8,59,7,4,5, 7,8,41,7,6,16,9,9,1024,7,4,6,7,8,31,7,5,8,7,8,57,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,9,768,7,4,6,7,8,37,9,5,128,7,7,25,7,6,15, 9,8,320,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6, 7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,11,12,2368,7,4,3,7,5,11,7,4,5, 7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7, 7,7,23,7,4,3,7,7,27,7,4,5,7,8,40,7,6,16,9,9,896,7,4,6,7,7,19,7,5,8,7,8,56,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,7,8,46,7,4,3,7,5,11,7,4,5,7,8,54,7,5,9,9,8,512,7,4,6, 7,8,36,9,5,128,7,8,52,7,6,15,7,8,0,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1728,7,4,5, 7,8,44,7,6,17,9,9,1408,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 7,8,30,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,8,34,9,5,128,7,8,50,7,6,14, 7,8,62,7,4,4,7,4,2,7,4,7,7,8,48,7,4,3,7,8,60,7,4,5,7,8,42,7,6,16,9,9,1152,7,4,6, 7,8,32,7,5,8,7,8,58,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5, 7,7,26,7,5,9,9,8,640,7,4,6,7,8,38,9,5,128,7,7,25,7,6,15,9,8,384,7,4,4,7,4,2,7,4,7, 7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,0,0,0,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6, 7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5, 7,8,39,7,6,16,9,8,576,7,4,6,7,7,19,7,5,8,7,8,55,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 7,8,45,7,4,3,7,5,11,7,4,5,7,8,53,7,5,9,9,8,448,7,4,6,7,8,35,9,5,128,7,8,51,7,6,15, 7,8,63,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1472,7,4,5,7,8,43,7,6,17,9,9,1216,7,4,6, 7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,29,7,4,3,7,5,11,7,4,5, 7,6,12,7,5,9,9,6,1664,7,4,6,7,8,33,9,5,128,7,8,49,7,6,14,7,8,61,7,4,4,7,4,2,7,4,7, 7,8,47,7,4,3,7,8,59,7,4,5,7,8,41,7,6,16,9,9,960,7,4,6,7,8,31,7,5,8,7,8,57,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,9,704,7,4,6, 7,8,37,9,5,128,7,7,25,7,6,15,9,8,320,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5, 7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 11,12,1984,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14, 7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,7,8,40,7,6,16,9,9,832,7,4,6, 7,7,19,7,5,8,7,8,56,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,46,7,4,3,7,5,11,7,4,5, 7,8,54,7,5,9,9,8,512,7,4,6,7,8,36,9,5,128,7,8,52,7,6,15,7,8,0,7,4,4,7,4,2,7,4,7, 7,6,13,7,4,3,9,9,1600,7,4,5,7,8,44,7,6,17,9,9,1344,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,7,8,30,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6, 7,8,34,9,5,128,7,8,50,7,6,14,7,8,62,7,4,4,7,4,2,7,4,7,7,8,48,7,4,3,7,8,60,7,4,5, 7,8,42,7,6,16,9,9,1088,7,4,6,7,8,32,7,5,8,7,8,58,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,8,640,7,4,6,7,8,38,9,5,128,7,7,25,7,6,15, 9,8,384,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6, 7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,0,0,0,7,4,3,7,5,11,7,4,5, 7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7, 7,7,23,7,4,3,7,7,27,7,4,5,7,8,39,7,6,16,9,8,576,7,4,6,7,7,19,7,5,8,7,8,55,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,7,8,45,7,4,3,7,5,11,7,4,5,7,8,53,7,5,9,9,8,448,7,4,6, 7,8,35,9,5,128,7,8,51,7,6,15,7,8,63,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1536,7,4,5, 7,8,43,7,6,17,9,9,1280,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 7,8,29,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,8,33,9,5,128,7,8,49,7,6,14, 7,8,61,7,4,4,7,4,2,7,4,7,7,8,47,7,4,3,7,8,59,7,4,5,7,8,41,7,6,16,9,9,1024,7,4,6, 7,8,31,7,5,8,7,8,57,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5, 7,7,26,7,5,9,9,9,768,7,4,6,7,8,37,9,5,128,7,7,25,7,6,15,9,8,320,7,4,4,7,4,2,7,4,7, 7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,11,11,1920,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6, 7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5, 7,8,40,7,6,16,9,9,896,7,4,6,7,7,19,7,5,8,7,8,56,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 7,8,46,7,4,3,7,5,11,7,4,5,7,8,54,7,5,9,9,8,512,7,4,6,7,8,36,9,5,128,7,8,52,7,6,15, 7,8,0,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1728,7,4,5,7,8,44,7,6,17,9,9,1408,7,4,6, 7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,30,7,4,3,7,5,11,7,4,5, 7,6,12,7,5,9,9,6,1664,7,4,6,7,8,34,9,5,128,7,8,50,7,6,14,7,8,62,7,4,4,7,4,2,7,4,7, 7,8,48,7,4,3,7,8,60,7,4,5,7,8,42,7,6,16,9,9,1152,7,4,6,7,8,32,7,5,8,7,8,58,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,8,640,7,4,6, 7,8,38,9,5,128,7,7,25,7,6,15,9,8,384,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5, 7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 0,0,0,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14, 7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,7,8,39,7,6,16,9,8,576,7,4,6, 7,7,19,7,5,8,7,8,55,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,45,7,4,3,7,5,11,7,4,5, 7,8,53,7,5,9,9,8,448,7,4,6,7,8,35,9,5,128,7,8,51,7,6,15,7,8,63,7,4,4,7,4,2,7,4,7, 7,6,13,7,4,3,9,9,1472,7,4,5,7,8,43,7,6,17,9,9,1216,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,7,8,29,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6, 7,8,33,9,5,128,7,8,49,7,6,14,7,8,61,7,4,4,7,4,2,7,4,7,7,8,47,7,4,3,7,8,59,7,4,5, 7,8,41,7,6,16,9,9,960,7,4,6,7,8,31,7,5,8,7,8,57,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,9,704,7,4,6,7,8,37,9,5,128,7,7,25,7,6,15, 9,8,320,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6, 7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,11,12,2240,7,4,3,7,5,11,7,4,5, 7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7, 7,7,23,7,4,3,7,7,27,7,4,5,7,8,40,7,6,16,9,9,832,7,4,6,7,7,19,7,5,8,7,8,56,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,7,8,46,7,4,3,7,5,11,7,4,5,7,8,54,7,5,9,9,8,512,7,4,6, 7,8,36,9,5,128,7,8,52,7,6,15,7,8,0,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1600,7,4,5, 7,8,44,7,6,17,9,9,1344,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 7,8,30,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,8,34,9,5,128,7,8,50,7,6,14, 7,8,62,7,4,4,7,4,2,7,4,7,7,8,48,7,4,3,7,8,60,7,4,5,7,8,42,7,6,16,9,9,1088,7,4,6, 7,8,32,7,5,8,7,8,58,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5, 7,7,26,7,5,9,9,8,640,7,4,6,7,8,38,9,5,128,7,7,25,7,6,15,9,8,384,7,4,4,7,4,2,7,4,7, 7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,0,0,0,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6, 7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5, 7,8,39,7,6,16,9,8,576,7,4,6,7,7,19,7,5,8,7,8,55,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 7,8,45,7,4,3,7,5,11,7,4,5,7,8,53,7,5,9,9,8,448,7,4,6,7,8,35,9,5,128,7,8,51,7,6,15, 7,8,63,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1536,7,4,5,7,8,43,7,6,17,9,9,1280,7,4,6, 7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,29,7,4,3,7,5,11,7,4,5, 7,6,12,7,5,9,9,6,1664,7,4,6,7,8,33,9,5,128,7,8,49,7,6,14,7,8,61,7,4,4,7,4,2,7,4,7, 7,8,47,7,4,3,7,8,59,7,4,5,7,8,41,7,6,16,9,9,1024,7,4,6,7,8,31,7,5,8,7,8,57,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,9,768,7,4,6, 7,8,37,9,5,128,7,7,25,7,6,15,9,8,320,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5, 7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 11,12,2496,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14, 7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,7,8,40,7,6,16,9,9,896,7,4,6, 7,7,19,7,5,8,7,8,56,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,46,7,4,3,7,5,11,7,4,5, 7,8,54,7,5,9,9,8,512,7,4,6,7,8,36,9,5,128,7,8,52,7,6,15,7,8,0,7,4,4,7,4,2,7,4,7, 7,6,13,7,4,3,9,9,1728,7,4,5,7,8,44,7,6,17,9,9,1408,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,7,8,30,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6, 7,8,34,9,5,128,7,8,50,7,6,14,7,8,62,7,4,4,7,4,2,7,4,7,7,8,48,7,4,3,7,8,60,7,4,5, 7,8,42,7,6,16,9,9,1152,7,4,6,7,8,32,7,5,8,7,8,58,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,8,640,7,4,6,7,8,38,9,5,128,7,7,25,7,6,15, 9,8,384,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6, 7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,12,11,0,7,4,3,7,5,11,7,4,5, 7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7, 7,7,23,7,4,3,7,7,27,7,4,5,7,8,39,7,6,16,9,8,576,7,4,6,7,7,19,7,5,8,7,8,55,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,7,8,45,7,4,3,7,5,11,7,4,5,7,8,53,7,5,9,9,8,448,7,4,6, 7,8,35,9,5,128,7,8,51,7,6,15,7,8,63,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1472,7,4,5, 7,8,43,7,6,17,9,9,1216,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 7,8,29,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,8,33,9,5,128,7,8,49,7,6,14, 7,8,61,7,4,4,7,4,2,7,4,7,7,8,47,7,4,3,7,8,59,7,4,5,7,8,41,7,6,16,9,9,960,7,4,6, 7,8,31,7,5,8,7,8,57,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5, 7,7,26,7,5,9,9,9,704,7,4,6,7,8,37,9,5,128,7,7,25,7,6,15,9,8,320,7,4,4,7,4,2,7,4,7, 7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,11,11,1792,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6, 7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5, 7,8,40,7,6,16,9,9,832,7,4,6,7,7,19,7,5,8,7,8,56,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 7,8,46,7,4,3,7,5,11,7,4,5,7,8,54,7,5,9,9,8,512,7,4,6,7,8,36,9,5,128,7,8,52,7,6,15, 7,8,0,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1600,7,4,5,7,8,44,7,6,17,9,9,1344,7,4,6, 7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,30,7,4,3,7,5,11,7,4,5, 7,6,12,7,5,9,9,6,1664,7,4,6,7,8,34,9,5,128,7,8,50,7,6,14,7,8,62,7,4,4,7,4,2,7,4,7, 7,8,48,7,4,3,7,8,60,7,4,5,7,8,42,7,6,16,9,9,1088,7,4,6,7,8,32,7,5,8,7,8,58,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,8,640,7,4,6, 7,8,38,9,5,128,7,7,25,7,6,15,9,8,384,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5, 7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 0,0,0,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14, 7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,7,8,39,7,6,16,9,8,576,7,4,6, 7,7,19,7,5,8,7,8,55,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,45,7,4,3,7,5,11,7,4,5, 7,8,53,7,5,9,9,8,448,7,4,6,7,8,35,9,5,128,7,8,51,7,6,15,7,8,63,7,4,4,7,4,2,7,4,7, 7,6,13,7,4,3,9,9,1536,7,4,5,7,8,43,7,6,17,9,9,1280,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,7,8,29,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6, 7,8,33,9,5,128,7,8,49,7,6,14,7,8,61,7,4,4,7,4,2,7,4,7,7,8,47,7,4,3,7,8,59,7,4,5, 7,8,41,7,6,16,9,9,1024,7,4,6,7,8,31,7,5,8,7,8,57,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,9,768,7,4,6,7,8,37,9,5,128,7,7,25,7,6,15, 9,8,320,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6, 7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,11,11,1856,7,4,3,7,5,11,7,4,5, 7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7, 7,7,23,7,4,3,7,7,27,7,4,5,7,8,40,7,6,16,9,9,896,7,4,6,7,7,19,7,5,8,7,8,56,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,7,8,46,7,4,3,7,5,11,7,4,5,7,8,54,7,5,9,9,8,512,7,4,6, 7,8,36,9,5,128,7,8,52,7,6,15,7,8,0,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1728,7,4,5, 7,8,44,7,6,17,9,9,1408,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 7,8,30,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,8,34,9,5,128,7,8,50,7,6,14, 7,8,62,7,4,4,7,4,2,7,4,7,7,8,48,7,4,3,7,8,60,7,4,5,7,8,42,7,6,16,9,9,1152,7,4,6, 7,8,32,7,5,8,7,8,58,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5, 7,7,26,7,5,9,9,8,640,7,4,6,7,8,38,9,5,128,7,7,25,7,6,15,9,8,384,7,4,4,7,4,2,7,4,7, 7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,0,0,0,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6, 7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5, 7,8,39,7,6,16,9,8,576,7,4,6,7,7,19,7,5,8,7,8,55,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 7,8,45,7,4,3,7,5,11,7,4,5,7,8,53,7,5,9,9,8,448,7,4,6,7,8,35,9,5,128,7,8,51,7,6,15, 7,8,63,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1472,7,4,5,7,8,43,7,6,17,9,9,1216,7,4,6, 7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,29,7,4,3,7,5,11,7,4,5, 7,6,12,7,5,9,9,6,1664,7,4,6,7,8,33,9,5,128,7,8,49,7,6,14,7,8,61,7,4,4,7,4,2,7,4,7, 7,8,47,7,4,3,7,8,59,7,4,5,7,8,41,7,6,16,9,9,960,7,4,6,7,8,31,7,5,8,7,8,57,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,9,704,7,4,6, 7,8,37,9,5,128,7,7,25,7,6,15,9,8,320,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5, 7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 11,12,2176,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14, 7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,7,8,40,7,6,16,9,9,832,7,4,6, 7,7,19,7,5,8,7,8,56,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,46,7,4,3,7,5,11,7,4,5, 7,8,54,7,5,9,9,8,512,7,4,6,7,8,36,9,5,128,7,8,52,7,6,15,7,8,0,7,4,4,7,4,2,7,4,7, 7,6,13,7,4,3,9,9,1600,7,4,5,7,8,44,7,6,17,9,9,1344,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,7,8,30,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6, 7,8,34,9,5,128,7,8,50,7,6,14,7,8,62,7,4,4,7,4,2,7,4,7,7,8,48,7,4,3,7,8,60,7,4,5, 7,8,42,7,6,16,9,9,1088,7,4,6,7,8,32,7,5,8,7,8,58,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,8,640,7,4,6,7,8,38,9,5,128,7,7,25,7,6,15, 9,8,384,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6, 7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,0,0,0,7,4,3,7,5,11,7,4,5, 7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7, 7,7,23,7,4,3,7,7,27,7,4,5,7,8,39,7,6,16,9,8,576,7,4,6,7,7,19,7,5,8,7,8,55,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,7,8,45,7,4,3,7,5,11,7,4,5,7,8,53,7,5,9,9,8,448,7,4,6, 7,8,35,9,5,128,7,8,51,7,6,15,7,8,63,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1536,7,4,5, 7,8,43,7,6,17,9,9,1280,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 7,8,29,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,8,33,9,5,128,7,8,49,7,6,14, 7,8,61,7,4,4,7,4,2,7,4,7,7,8,47,7,4,3,7,8,59,7,4,5,7,8,41,7,6,16,9,9,1024,7,4,6, 7,8,31,7,5,8,7,8,57,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5, 7,7,26,7,5,9,9,9,768,7,4,6,7,8,37,9,5,128,7,7,25,7,6,15,9,8,320,7,4,4,7,4,2,7,4,7, 7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,11,12,2432,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6, 7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5, 7,8,40,7,6,16,9,9,896,7,4,6,7,7,19,7,5,8,7,8,56,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 7,8,46,7,4,3,7,5,11,7,4,5,7,8,54,7,5,9,9,8,512,7,4,6,7,8,36,9,5,128,7,8,52,7,6,15, 7,8,0,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1728,7,4,5,7,8,44,7,6,17,9,9,1408,7,4,6, 7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,30,7,4,3,7,5,11,7,4,5, 7,6,12,7,5,9,9,6,1664,7,4,6,7,8,34,9,5,128,7,8,50,7,6,14,7,8,62,7,4,4,7,4,2,7,4,7, 7,8,48,7,4,3,7,8,60,7,4,5,7,8,42,7,6,16,9,9,1152,7,4,6,7,8,32,7,5,8,7,8,58,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,8,640,7,4,6, 7,8,38,9,5,128,7,7,25,7,6,15,9,8,384,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5, 7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 0,0,0,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14, 7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,7,8,39,7,6,16,9,8,576,7,4,6, 7,7,19,7,5,8,7,8,55,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,45,7,4,3,7,5,11,7,4,5, 7,8,53,7,5,9,9,8,448,7,4,6,7,8,35,9,5,128,7,8,51,7,6,15,7,8,63,7,4,4,7,4,2,7,4,7, 7,6,13,7,4,3,9,9,1472,7,4,5,7,8,43,7,6,17,9,9,1216,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,7,8,29,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6, 7,8,33,9,5,128,7,8,49,7,6,14,7,8,61,7,4,4,7,4,2,7,4,7,7,8,47,7,4,3,7,8,59,7,4,5, 7,8,41,7,6,16,9,9,960,7,4,6,7,8,31,7,5,8,7,8,57,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,9,704,7,4,6,7,8,37,9,5,128,7,7,25,7,6,15, 9,8,320,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6, 7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,11,12,2048,7,4,3,7,5,11,7,4,5, 7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7, 7,7,23,7,4,3,7,7,27,7,4,5,7,8,40,7,6,16,9,9,832,7,4,6,7,7,19,7,5,8,7,8,56,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,7,8,46,7,4,3,7,5,11,7,4,5,7,8,54,7,5,9,9,8,512,7,4,6, 7,8,36,9,5,128,7,8,52,7,6,15,7,8,0,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1600,7,4,5, 7,8,44,7,6,17,9,9,1344,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 7,8,30,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,8,34,9,5,128,7,8,50,7,6,14, 7,8,62,7,4,4,7,4,2,7,4,7,7,8,48,7,4,3,7,8,60,7,4,5,7,8,42,7,6,16,9,9,1088,7,4,6, 7,8,32,7,5,8,7,8,58,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5, 7,7,26,7,5,9,9,8,640,7,4,6,7,8,38,9,5,128,7,7,25,7,6,15,9,8,384,7,4,4,7,4,2,7,4,7, 7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,0,0,0,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6, 7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5, 7,8,39,7,6,16,9,8,576,7,4,6,7,7,19,7,5,8,7,8,55,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 7,8,45,7,4,3,7,5,11,7,4,5,7,8,53,7,5,9,9,8,448,7,4,6,7,8,35,9,5,128,7,8,51,7,6,15, 7,8,63,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1536,7,4,5,7,8,43,7,6,17,9,9,1280,7,4,6, 7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,29,7,4,3,7,5,11,7,4,5, 7,6,12,7,5,9,9,6,1664,7,4,6,7,8,33,9,5,128,7,8,49,7,6,14,7,8,61,7,4,4,7,4,2,7,4,7, 7,8,47,7,4,3,7,8,59,7,4,5,7,8,41,7,6,16,9,9,1024,7,4,6,7,8,31,7,5,8,7,8,57,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,9,768,7,4,6, 7,8,37,9,5,128,7,7,25,7,6,15,9,8,320,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5, 7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 11,11,1920,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14, 7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,7,8,40,7,6,16,9,9,896,7,4,6, 7,7,19,7,5,8,7,8,56,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,46,7,4,3,7,5,11,7,4,5, 7,8,54,7,5,9,9,8,512,7,4,6,7,8,36,9,5,128,7,8,52,7,6,15,7,8,0,7,4,4,7,4,2,7,4,7, 7,6,13,7,4,3,9,9,1728,7,4,5,7,8,44,7,6,17,9,9,1408,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,7,8,30,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6, 7,8,34,9,5,128,7,8,50,7,6,14,7,8,62,7,4,4,7,4,2,7,4,7,7,8,48,7,4,3,7,8,60,7,4,5, 7,8,42,7,6,16,9,9,1152,7,4,6,7,8,32,7,5,8,7,8,58,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,8,640,7,4,6,7,8,38,9,5,128,7,7,25,7,6,15, 9,8,384,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6, 7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,0,0,0,7,4,3,7,5,11,7,4,5, 7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7, 7,7,23,7,4,3,7,7,27,7,4,5,7,8,39,7,6,16,9,8,576,7,4,6,7,7,19,7,5,8,7,8,55,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,7,8,45,7,4,3,7,5,11,7,4,5,7,8,53,7,5,9,9,8,448,7,4,6, 7,8,35,9,5,128,7,8,51,7,6,15,7,8,63,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1472,7,4,5, 7,8,43,7,6,17,9,9,1216,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 7,8,29,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,8,33,9,5,128,7,8,49,7,6,14, 7,8,61,7,4,4,7,4,2,7,4,7,7,8,47,7,4,3,7,8,59,7,4,5,7,8,41,7,6,16,9,9,960,7,4,6, 7,8,31,7,5,8,7,8,57,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5, 7,7,26,7,5,9,9,9,704,7,4,6,7,8,37,9,5,128,7,7,25,7,6,15,9,8,320,7,4,4,7,4,2,7,4,7, 7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,11,12,2304,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6, 7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5, 7,8,40,7,6,16,9,9,832,7,4,6,7,7,19,7,5,8,7,8,56,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 7,8,46,7,4,3,7,5,11,7,4,5,7,8,54,7,5,9,9,8,512,7,4,6,7,8,36,9,5,128,7,8,52,7,6,15, 7,8,0,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1600,7,4,5,7,8,44,7,6,17,9,9,1344,7,4,6, 7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,30,7,4,3,7,5,11,7,4,5, 7,6,12,7,5,9,9,6,1664,7,4,6,7,8,34,9,5,128,7,8,50,7,6,14,7,8,62,7,4,4,7,4,2,7,4,7, 7,8,48,7,4,3,7,8,60,7,4,5,7,8,42,7,6,16,9,9,1088,7,4,6,7,8,32,7,5,8,7,8,58,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,8,640,7,4,6, 7,8,38,9,5,128,7,7,25,7,6,15,9,8,384,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5, 7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 0,0,0,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14, 7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,7,8,39,7,6,16,9,8,576,7,4,6, 7,7,19,7,5,8,7,8,55,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,45,7,4,3,7,5,11,7,4,5, 7,8,53,7,5,9,9,8,448,7,4,6,7,8,35,9,5,128,7,8,51,7,6,15,7,8,63,7,4,4,7,4,2,7,4,7, 7,6,13,7,4,3,9,9,1536,7,4,5,7,8,43,7,6,17,9,9,1280,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,7,8,29,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6, 7,8,33,9,5,128,7,8,49,7,6,14,7,8,61,7,4,4,7,4,2,7,4,7,7,8,47,7,4,3,7,8,59,7,4,5, 7,8,41,7,6,16,9,9,1024,7,4,6,7,8,31,7,5,8,7,8,57,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,9,768,7,4,6,7,8,37,9,5,128,7,7,25,7,6,15, 9,8,320,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6, 7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,11,12,2560,7,4,3,7,5,11,7,4,5, 7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7, 7,7,23,7,4,3,7,7,27,7,4,5,7,8,40,7,6,16,9,9,896,7,4,6,7,7,19,7,5,8,7,8,56,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7,7,8,46,7,4,3,7,5,11,7,4,5,7,8,54,7,5,9,9,8,512,7,4,6, 7,8,36,9,5,128,7,8,52,7,6,15,7,8,0,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1728,7,4,5, 7,8,44,7,6,17,9,9,1408,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7, 7,8,30,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,8,34,9,5,128,7,8,50,7,6,14, 7,8,62,7,4,4,7,4,2,7,4,7,7,8,48,7,4,3,7,8,60,7,4,5,7,8,42,7,6,16,9,9,1152,7,4,6, 7,8,32,7,5,8,7,8,58,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5, 7,7,26,7,5,9,9,8,640,7,4,6,7,8,38,9,5,128,7,7,25,7,6,15,9,8,384,7,4,4,7,4,2,7,4,7, 7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64, 7,5,10,7,4,4,7,4,2,7,4,7 }; static const TIFFFaxTabEnt TIFFFaxBlackTable[8192] = { 12,11,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,9,15,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,10,18,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,10,17,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,11,11,1792,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,11,23,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,11,20,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,11,25,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,10,12,128,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,56,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,12,30,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 11,11,1856,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,57,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,11,21,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,12,54,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,9,15,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,12,52,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,48,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,11,12,2112,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,12,44,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,12,36,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,12,384,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,12,28,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,12,60,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,12,40,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,11,12,2368,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,10,16,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,10,0,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 10,10,64,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,9,15,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,10,18,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,10,17,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 11,12,1984,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,50,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,12,34,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,10,13,1664,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,26,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 10,13,1408,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,32,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,11,11,1920,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,12,61,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,12,42,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,13,1024,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,9,15,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,10,13,768,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,12,62,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,11,12,2240,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,12,46,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,38,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 10,13,512,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,11,19,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,11,24,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,11,22,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 11,12,2496,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,10,16,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,10,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,10,10,64,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,12,11,0,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,9,15,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,10,18,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,10,17,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,11,11,1792,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,11,23,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,11,20,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,11,25,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 10,12,192,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,10,13,1280,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,12,31,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,11,11,1856,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,12,58,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,11,21,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 10,13,896,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,9,15,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,13,640,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,12,49,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 11,12,2176,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,45,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,12,37,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,10,12,448,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,29,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 10,13,1536,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,41,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,11,12,2432,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,10,16,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,10,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,10,64,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,9,15,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,10,18,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,10,17,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,11,12,2048,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,12,51,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,35,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 10,12,320,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,12,27,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,59,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,12,33,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 11,11,1920,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,12,256,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,12,43,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,10,13,1152,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,9,15,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,12,55,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,63,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,11,12,2304,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,12,47,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,12,39,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,53,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,11,19,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,11,24,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,11,22,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,11,12,2560,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,10,16,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,10,0,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 10,10,64,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,12,11,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,9,15,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,10,18,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,10,17,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 11,11,1792,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,11,23,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,11,20,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,11,25,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,12,128,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,12,56,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,30,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,11,11,1856,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,12,57,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,11,21,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,54,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,9,15,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,12,52,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,12,48,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,11,12,2112,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,12,44,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,36,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 10,12,384,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,12,28,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,60,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,12,40,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 11,12,2368,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,10,16,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,10,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,10,10,64,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,9,15,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,10,18,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,10,17,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,11,12,1984,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,12,50,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,12,34,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,13,1728,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,12,26,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,10,13,1472,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,12,32,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,11,11,1920,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,12,61,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,42,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 10,13,1088,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,9,15,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,13,832,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,12,62,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 11,12,2240,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,46,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,12,38,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,10,13,576,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,11,19,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,11,24,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,11,22,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,11,12,2496,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,10,16,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,10,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,10,64,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 12,11,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,9,15,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,10,18,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,10,17,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,11,11,1792,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,11,23,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,11,20,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,11,25,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,10,12,192,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,13,1344,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,12,31,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 11,11,1856,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,58,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,11,21,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,10,13,960,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,9,15,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 10,13,704,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,49,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,11,12,2176,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,12,45,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,12,37,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,12,448,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,12,29,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,10,13,1600,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,12,41,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,11,12,2432,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,10,16,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,10,0,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 10,10,64,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,9,15,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,10,18,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,10,17,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 11,12,2048,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,51,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,12,35,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,10,12,320,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,27,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,12,59,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,33,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,11,11,1920,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 10,12,256,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,12,43,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,13,1216,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,9,15,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,12,55,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,12,63,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,11,12,2304,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,12,47,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,39,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,12,53,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,11,19,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,11,24,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,11,22,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 11,12,2560,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,10,16,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,10,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,10,10,64,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2, 8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2, 8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2, 8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2, 8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2 }; static const unsigned char TIFFBitRevTable[256] = { 0x00, 0x80, 0x40, 0xc0, 0x20, 0xa0, 0x60, 0xe0, 0x10, 0x90, 0x50, 0xd0, 0x30, 0xb0, 0x70, 0xf0, 0x08, 0x88, 0x48, 0xc8, 0x28, 0xa8, 0x68, 0xe8, 0x18, 0x98, 0x58, 0xd8, 0x38, 0xb8, 0x78, 0xf8, 0x04, 0x84, 0x44, 0xc4, 0x24, 0xa4, 0x64, 0xe4, 0x14, 0x94, 0x54, 0xd4, 0x34, 0xb4, 0x74, 0xf4, 0x0c, 0x8c, 0x4c, 0xcc, 0x2c, 0xac, 0x6c, 0xec, 0x1c, 0x9c, 0x5c, 0xdc, 0x3c, 0xbc, 0x7c, 0xfc, 0x02, 0x82, 0x42, 0xc2, 0x22, 0xa2, 0x62, 0xe2, 0x12, 0x92, 0x52, 0xd2, 0x32, 0xb2, 0x72, 0xf2, 0x0a, 0x8a, 0x4a, 0xca, 0x2a, 0xaa, 0x6a, 0xea, 0x1a, 0x9a, 0x5a, 0xda, 0x3a, 0xba, 0x7a, 0xfa, 0x06, 0x86, 0x46, 0xc6, 0x26, 0xa6, 0x66, 0xe6, 0x16, 0x96, 0x56, 0xd6, 0x36, 0xb6, 0x76, 0xf6, 0x0e, 0x8e, 0x4e, 0xce, 0x2e, 0xae, 0x6e, 0xee, 0x1e, 0x9e, 0x5e, 0xde, 0x3e, 0xbe, 0x7e, 0xfe, 0x01, 0x81, 0x41, 0xc1, 0x21, 0xa1, 0x61, 0xe1, 0x11, 0x91, 0x51, 0xd1, 0x31, 0xb1, 0x71, 0xf1, 0x09, 0x89, 0x49, 0xc9, 0x29, 0xa9, 0x69, 0xe9, 0x19, 0x99, 0x59, 0xd9, 0x39, 0xb9, 0x79, 0xf9, 0x05, 0x85, 0x45, 0xc5, 0x25, 0xa5, 0x65, 0xe5, 0x15, 0x95, 0x55, 0xd5, 0x35, 0xb5, 0x75, 0xf5, 0x0d, 0x8d, 0x4d, 0xcd, 0x2d, 0xad, 0x6d, 0xed, 0x1d, 0x9d, 0x5d, 0xdd, 0x3d, 0xbd, 0x7d, 0xfd, 0x03, 0x83, 0x43, 0xc3, 0x23, 0xa3, 0x63, 0xe3, 0x13, 0x93, 0x53, 0xd3, 0x33, 0xb3, 0x73, 0xf3, 0x0b, 0x8b, 0x4b, 0xcb, 0x2b, 0xab, 0x6b, 0xeb, 0x1b, 0x9b, 0x5b, 0xdb, 0x3b, 0xbb, 0x7b, 0xfb, 0x07, 0x87, 0x47, 0xc7, 0x27, 0xa7, 0x67, 0xe7, 0x17, 0x97, 0x57, 0xd7, 0x37, 0xb7, 0x77, 0xf7, 0x0f, 0x8f, 0x4f, 0xcf, 0x2f, 0xaf, 0x6f, 0xef, 0x1f, 0x9f, 0x5f, 0xdf, 0x3f, 0xbf, 0x7f, 0xff }; static const unsigned char TIFFNoBitRevTable[256] = { 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f, 0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17, 0x18, 0x19, 0x1a, 0x1b, 0x1c, 0x1d, 0x1e, 0x1f, 0x20, 0x21, 0x22, 0x23, 0x24, 0x25, 0x26, 0x27, 0x28, 0x29, 0x2a, 0x2b, 0x2c, 0x2d, 0x2e, 0x2f, 0x30, 0x31, 0x32, 0x33, 0x34, 0x35, 0x36, 0x37, 0x38, 0x39, 0x3a, 0x3b, 0x3c, 0x3d, 0x3e, 0x3f, 0x40, 0x41, 0x42, 0x43, 0x44, 0x45, 0x46, 0x47, 0x48, 0x49, 0x4a, 0x4b, 0x4c, 0x4d, 0x4e, 0x4f, 0x50, 0x51, 0x52, 0x53, 0x54, 0x55, 0x56, 0x57, 0x58, 0x59, 0x5a, 0x5b, 0x5c, 0x5d, 0x5e, 0x5f, 0x60, 0x61, 0x62, 0x63, 0x64, 0x65, 0x66, 0x67, 0x68, 0x69, 0x6a, 0x6b, 0x6c, 0x6d, 0x6e, 0x6f, 0x70, 0x71, 0x72, 0x73, 0x74, 0x75, 0x76, 0x77, 0x78, 0x79, 0x7a, 0x7b, 0x7c, 0x7d, 0x7e, 0x7f, 0x80, 0x81, 0x82, 0x83, 0x84, 0x85, 0x86, 0x87, 0x88, 0x89, 0x8a, 0x8b, 0x8c, 0x8d, 0x8e, 0x8f, 0x90, 0x91, 0x92, 0x93, 0x94, 0x95, 0x96, 0x97, 0x98, 0x99, 0x9a, 0x9b, 0x9c, 0x9d, 0x9e, 0x9f, 0xa0, 0xa1, 0xa2, 0xa3, 0xa4, 0xa5, 0xa6, 0xa7, 0xa8, 0xa9, 0xaa, 0xab, 0xac, 0xad, 0xae, 0xaf, 0xb0, 0xb1, 0xb2, 0xb3, 0xb4, 0xb5, 0xb6, 0xb7, 0xb8, 0xb9, 0xba, 0xbb, 0xbc, 0xbd, 0xbe, 0xbf, 0xc0, 0xc1, 0xc2, 0xc3, 0xc4, 0xc5, 0xc6, 0xc7, 0xc8, 0xc9, 0xca, 0xcb, 0xcc, 0xcd, 0xce, 0xcf, 0xd0, 0xd1, 0xd2, 0xd3, 0xd4, 0xd5, 0xd6, 0xd7, 0xd8, 0xd9, 0xda, 0xdb, 0xdc, 0xdd, 0xde, 0xdf, 0xe0, 0xe1, 0xe2, 0xe3, 0xe4, 0xe5, 0xe6, 0xe7, 0xe8, 0xe9, 0xea, 0xeb, 0xec, 0xed, 0xee, 0xef, 0xf0, 0xf1, 0xf2, 0xf3, 0xf4, 0xf5, 0xf6, 0xf7, 0xf8, 0xf9, 0xfa, 0xfb, 0xfc, 0xfd, 0xfe, 0xff, }; /* * The following macros define the majority of the G3/G4 decoder * algorithm using the state tables defined elsewhere. To build * a decoder you need some setup code and some glue code. Note * that you may also need/want to change the way the NeedBits* * macros get input data if, for example, you know the data to be * decoded is properly aligned and oriented (doing so before running * the decoder can be a big performance win). * * Consult the decoder in the TIFF library for an idea of what you * need to define and setup to make use of these definitions. * * NB: to enable a debugging version of these macros define FAX3_DEBUG * before including this file. Trace output goes to stdout. */ #ifndef EndOfData #define EndOfData() (cp >= ep) #endif /* * Need <=8 or <=16 bits of input data. Unlike viewfax we * cannot use/assume a word-aligned, properly bit swizzled * input data set because data may come from an arbitrarily * aligned, read-only source such as a memory-mapped file. * Note also that the viewfax decoder does not check for * running off the end of the input data buffer. This is * possible for G3-encoded data because it prescans the input * data to count EOL markers, but can cause problems for G4 * data. In any event, we don't prescan and must watch for * running out of data since we can't permit the library to * scan past the end of the input data buffer. * * Finally, note that we must handle remaindered data at the end * of a strip specially. The coder asks for a fixed number of * bits when scanning for the next code. This may be more bits * than are actually present in the data stream. If we appear * to run out of data but still have some number of valid bits * remaining then we makeup the requested amount with zeros and * return successfully. If the returned data is incorrect then * we should be called again and get a premature EOF error; * otherwise we should get the right answer. */ #ifndef NeedBits8 #define NeedBits8(n,eoflab) do { \ if (BitsAvail < (n)) { \ if (EndOfData()) { \ if (BitsAvail == 0) /* no valid bits */ \ goto eoflab; \ BitsAvail = (n); /* pad with zeros */ \ } else { \ BitAcc |= ((GUInt32) bitmap[*cp++])<>= (n); \ } while (0) #ifdef FAX3_DEBUG static const char* StateNames[] = { "Null ", "Pass ", "Horiz ", "V0 ", "VR ", "VL ", "Ext ", "TermW ", "TermB ", "MakeUpW", "MakeUpB", "MakeUp ", "EOL ", }; #define DEBUG_SHOW putchar(BitAcc & (1 << t) ? '1' : '0') #define LOOKUP8(wid,tab,eoflab) do { \ int t; \ NeedBits8(wid,eoflab); \ TabEnt = tab + GetBits(wid); \ printf("%08lX/%d: %s%5d\t", (long) BitAcc, BitsAvail, \ StateNames[TabEnt->State], TabEnt->Param); \ for (t = 0; t < TabEnt->Width; t++) \ DEBUG_SHOW; \ putchar('\n'); \ fflush(stdout); \ ClrBits(TabEnt->Width); \ } while (0) #define LOOKUP16(wid,tab,eoflab) do { \ int t; \ NeedBits16(wid,eoflab); \ TabEnt = tab + GetBits(wid); \ printf("%08lX/%d: %s%5d\t", (long) BitAcc, BitsAvail, \ StateNames[TabEnt->State], TabEnt->Param); \ for (t = 0; t < TabEnt->Width; t++) \ DEBUG_SHOW; \ putchar('\n'); \ fflush(stdout); \ ClrBits(TabEnt->Width); \ } while (0) #define SETVAL(x) do { \ *pa++ = RunLength + (x); \ printf("SETVAL: %d\t%d\n", RunLength + (x), a0); \ a0 += x; \ RunLength = 0; \ } while (0) #else #define LOOKUP8(wid,tab,eoflab) do { \ NeedBits8(wid,eoflab); \ TabEnt = tab + GetBits(wid); \ ClrBits(TabEnt->Width); \ } while (0) #define LOOKUP16(wid,tab,eoflab) do { \ NeedBits16(wid,eoflab); \ TabEnt = tab + GetBits(wid); \ ClrBits(TabEnt->Width); \ } while (0) /* * Append a run to the run length array for the * current row and reset decoding state. */ #define SETVAL(x) do { \ *pa++ = RunLength + (x); \ a0 += (x); \ RunLength = 0; \ } while (0) #endif /* * Synchronize input decoding at the start of each * row by scanning for an EOL (if appropriate) and * skipping any trash data that might be present * after a decoding error. Note that the decoding * done elsewhere that recognizes an EOL only consumes * 11 consecutive zero bits. This means that if EOLcnt * is non-zero then we still need to scan for the final flag * bit that is part of the EOL code. */ #define SYNC_EOL(eoflab) do { \ if (EOLcnt == 0) { \ for (;;) { \ NeedBits16(11,eoflab); \ if (GetBits(11) == 0) \ break; \ ClrBits(1); \ } \ } \ for (;;) { \ NeedBits8(8,eoflab); \ if (GetBits(8)) \ break; \ ClrBits(8); \ } \ while (GetBits(1) == 0) \ ClrBits(1); \ ClrBits(1); /* EOL bit */ \ EOLcnt = 0; /* reset EOL counter/flag */ \ } while (0) /* * Cleanup the array of runs after decoding a row. * We adjust final runs to insure the user buffer is not * overwritten and/or undecoded area is white filled. */ #define CLEANUP_RUNS() do { \ if (RunLength) \ SETVAL(0); \ if (a0 != lastx) { \ badlength(a0, lastx); \ while (a0 > lastx && pa > thisrun) \ a0 -= *--pa; \ if (a0 < lastx) { \ if (a0 < 0) \ a0 = 0; \ if ((pa-thisrun)&1) \ SETVAL(0); \ SETVAL(lastx - a0); \ } else if (a0 > lastx) { \ SETVAL(lastx); \ SETVAL(0); \ } \ } \ } while (0) /* * Decode a line of 1D-encoded data. * * The line expanders are written as macros so that they can be reused * but still have direct access to the local variables of the "calling" * function. * * Note that unlike the original version we have to explicitly test for * a0 >= lastx after each black/white run is decoded. This is because * the original code depended on the input data being zero-padded to * insure the decoder recognized an EOL before running out of data. */ /* * Update the value of b1 using the array * of runs for the reference line. */ #define CHECK_b1 do { \ if (pa != thisrun) while (b1 <= a0 && b1 < lastx) { \ b1 += pb[0] + pb[1]; \ pb += 2; \ } \ } while (0) /* ==================================================================== */ /* Declarations from tif_fax3.c */ /* ==================================================================== */ /* * Compression+decompression state blocks are * derived from this ``base state'' block. */ typedef struct { int rw_mode; /* O_RDONLY for decode, else encode */ int mode; /* operating mode */ GUInt32 rowbytes; /* bytes in a decoded scanline */ GUInt32 rowpixels; /* pixels in a scanline */ GUInt16 cleanfaxdata; /* CleanFaxData tag */ GUInt32 badfaxrun; /* BadFaxRun tag */ GUInt32 badfaxlines; /* BadFaxLines tag */ GUInt32 groupoptions; /* Group 3/4 options tag */ GUInt32 recvparams; /* encoded Class 2 session params */ char* subaddress; /* subaddress string */ GUInt32 recvtime; /* time spent receiving (secs) */ } Fax3BaseState; #define Fax3State(tif) ((Fax3BaseState*) tif) typedef struct { Fax3BaseState b; const unsigned char* bitmap; /* bit reversal table */ GUInt32 data; /* current i/o byte/word */ int bit; /* current i/o bit in byte */ int EOLcnt; /* count of EOL codes recognized */ TIFFFaxFillFunc fill; /* fill routine */ GUInt32* runs; /* b&w runs for current/previous row */ GUInt32* refruns; /* runs for reference line */ GUInt32* curruns; /* runs for current line */ } Fax3DecodeState; #define DecoderState(tif) ((Fax3DecodeState*) Fax3State(tif)) typedef enum { G3_1D, G3_2D } Ttag; #ifdef notdef typedef struct { Fax3BaseState b; int data; /* current i/o byte */ int bit; /* current i/o bit in byte */ Ttag tag; /* encoding state */ unsigned char* refline; /* reference line for 2d decoding */ int k; /* #rows left that can be 2d encoded */ int maxk; /* max #rows that can be 2d encoded */ } Fax3EncodeState; #define EncoderState(tif) ((Fax3EncodeState*) Fax3State(tif)) #endif #define is2DEncoding(sp) \ (sp->b.groupoptions & GROUP3OPT_2DENCODING) #define isAligned(p,t) ((((unsigned long)(p)) & (sizeof (t)-1)) == 0) /* * Group 3 and Group 4 Decoding. */ /* * These macros glue the TIFF library state to * the state expected by Frank's decoder. */ #define DECLARE_STATE(tif, sp) \ Fax3DecodeState* sp = DecoderState(tif); \ int a0; /* reference element */ \ int lastx = sp->b.rowpixels; /* last element in row */ \ GUInt32 BitAcc; /* bit accumulator */ \ int BitsAvail; /* # valid bits in BitAcc */ \ int RunLength; /* length of current run */ \ unsigned char* cp; /* next byte of input data */ \ unsigned char* ep; /* end of input data */ \ GUInt32* pa; /* place to stuff next run */ \ GUInt32* thisrun; /* current row's run array */ \ int EOLcnt; /* # EOL codes recognized */ \ const unsigned char* bitmap = sp->bitmap; /* input data bit reverser */ \ const TIFFFaxTabEnt* TabEnt #define DECLARE_STATE_2D(tif, sp, mod) \ DECLARE_STATE(tif, sp, mod); \ int b1; /* next change on prev line */ \ GUInt32* pb /* next run in reference line */\ /* * Load any state that may be changed during decoding. */ #define CACHE_STATE(sp) do { \ BitAcc = sp->data; \ BitsAvail = sp->bit; \ EOLcnt = sp->EOLcnt; \ cp = (unsigned char*) rawcp; \ ep = cp + rawcc; \ } while (0) /* * Save state possibly changed during decoding. */ #define UNCACHE_STATE(sp) do { \ sp->bit = BitsAvail; \ sp->data = BitAcc; \ sp->EOLcnt = EOLcnt; \ rawcc -= (unsigned char *) cp - rawcp; \ rawcp = (unsigned char *) cp; \ } while (0) /* * Routine for handling various errors/conditions. * Note how they are "glued into the decoder" by * overriding the definitions used by the decoder. */ static void Fax3Unexpected() { CPLError( CE_Failure, CPLE_AppDefined, "Bad code word" ); } #define unexpected(table, a0) Fax3Unexpected() static void Fax3BadLength(GUInt32 a0, GUInt32 lastx) { CPLError( CE_Warning, CPLE_AppDefined, "%s (got %lu, expected %lu)", a0 < lastx ? "Premature EOL" : "Line length mismatch", (unsigned long) a0, (unsigned long) lastx ); } #define badlength(a0,lastx) Fax3BadLength(a0, lastx) static void Fax3PrematureEOF() { CPLError( CE_Warning, CPLE_AppDefined, "Premature EOF" ); } #define prematureEOF(a0) Fax3PrematureEOF() #define Nop /* * The ZERO & FILL macros must handle spans < 2*sizeof(long) bytes. * For machines with 64-bit longs this is <16 bytes; otherwise * this is <8 bytes. We optimize the code here to reflect the * machine characteristics. */ #if defined(__alpha) || _MIPS_SZLONG == 64 || defined(__LP64__) || defined(__arch64__) #define FILL(n, cp) \ switch (n) { \ case 15:(cp)[14] = 0xff; case 14:(cp)[13] = 0xff; case 13: (cp)[12] = 0xff;\ case 12:(cp)[11] = 0xff; case 11:(cp)[10] = 0xff; case 10: (cp)[9] = 0xff;\ case 9: (cp)[8] = 0xff; case 8: (cp)[7] = 0xff; case 7: (cp)[6] = 0xff;\ case 6: (cp)[5] = 0xff; case 5: (cp)[4] = 0xff; case 4: (cp)[3] = 0xff;\ case 3: (cp)[2] = 0xff; case 2: (cp)[1] = 0xff; \ case 1: (cp)[0] = 0xff; (cp) += (n); case 0: ; \ } #define ZERO(n, cp) \ switch (n) { \ case 15:(cp)[14] = 0; case 14:(cp)[13] = 0; case 13: (cp)[12] = 0; \ case 12:(cp)[11] = 0; case 11:(cp)[10] = 0; case 10: (cp)[9] = 0; \ case 9: (cp)[8] = 0; case 8: (cp)[7] = 0; case 7: (cp)[6] = 0; \ case 6: (cp)[5] = 0; case 5: (cp)[4] = 0; case 4: (cp)[3] = 0; \ case 3: (cp)[2] = 0; case 2: (cp)[1] = 0; \ case 1: (cp)[0] = 0; (cp) += (n); case 0: ; \ } #else #define FILL(n, cp) \ switch (n) { \ case 7: (cp)[6] = 0xff; case 6: (cp)[5] = 0xff; case 5: (cp)[4] = 0xff; \ case 4: (cp)[3] = 0xff; case 3: (cp)[2] = 0xff; case 2: (cp)[1] = 0xff; \ case 1: (cp)[0] = 0xff; (cp) += (n); case 0: ; \ } #define ZERO(n, cp) \ switch (n) { \ case 7: (cp)[6] = 0; case 6: (cp)[5] = 0; case 5: (cp)[4] = 0; \ case 4: (cp)[3] = 0; case 3: (cp)[2] = 0; case 2: (cp)[1] = 0; \ case 1: (cp)[0] = 0; (cp) += (n); case 0: ; \ } #endif /************************************************************************/ /* _TIFFFax3fillruns() */ /* */ /* Bit-fill a row according to the white/black */ /* runs generated during G3/G4 decoding. */ /************************************************************************/ static void _TIFFFax3fillruns(unsigned char* buf, GUInt32* runs, GUInt32* erun, GUInt32 lastx) { static const unsigned char _fillmasks[] = { 0x00, 0x80, 0xc0, 0xe0, 0xf0, 0xf8, 0xfc, 0xfe, 0xff }; unsigned char* cp; GUInt32 x, bx, run; GInt32 n, nw; long* lp; if ((erun-runs)&1) *erun++ = 0; x = 0; for (; runs < erun; runs += 2) { run = runs[0]; if (x+run > lastx || run > lastx ) run = runs[0] = (GUInt32) (lastx - x); if (run) { cp = buf + (x>>3); bx = x&7; if (run > 8-bx) { if (bx) { /* align to byte boundary */ *cp++ &= 0xff << (8-bx); run -= 8-bx; } if( (n = run >> 3) != 0 ) { /* multiple bytes to fill */ if ((n/sizeof (long)) > 1) { /* * Align to longword boundary and fill. */ for (; n && !isAligned(cp, long); n--) *cp++ = 0x00; lp = (long*) cp; nw = (GInt32)(n / sizeof (long)); n -= nw * sizeof (long); do { *lp++ = 0L; } while (--nw); cp = (unsigned char*) lp; } ZERO(n, cp); run &= 7; } if (run) cp[0] &= 0xff >> run; } else cp[0] &= ~(_fillmasks[run]>>bx); x += runs[0]; } run = runs[1]; if (x+run > lastx || run > lastx ) run = runs[1] = lastx - x; if (run) { cp = buf + (x>>3); bx = x&7; if (run > 8-bx) { if (bx) { /* align to byte boundary */ *cp++ |= 0xff >> bx; run -= 8-bx; } if( (n = run>>3) != 0 ) { /* multiple bytes to fill */ if ((n/sizeof (long)) > 1) { /* * Align to longword boundary and fill. */ for (; n && !isAligned(cp, long); n--) *cp++ = 0xff; lp = (long*) cp; nw = (GInt32)(n / sizeof (long)); n -= nw * sizeof (long); do { *lp++ = -1L; } while (--nw); cp = (unsigned char*) lp; } FILL(n, cp); run &= 7; } if (run) cp[0] |= 0xff00 >> run; } else cp[0] |= _fillmasks[run]>>bx; x += runs[1]; } } assert(x == lastx); } #undef ZERO #undef FILL /************************************************************************/ /* Fax3DecodeRLE() */ /* */ /* Decode the requested amount of RLE-encoded data. */ /************************************************************************/ static int Fax3DecodeRLE(Fax3BaseState* tif, unsigned char *buf, int occ, unsigned char *rawcp, int rawcc ) { DECLARE_STATE(tif, sp); int mode = sp->b.mode; CACHE_STATE(sp); thisrun = sp->curruns; while ((long)occ > 0) { a0 = 0; RunLength = 0; pa = thisrun; #ifdef FAX3_DEBUG printf("\nBitAcc=%08X, BitsAvail = %d\n", BitAcc, BitsAvail); printf("-------------------- \n"); fflush(stdout); #endif /* -------------------------------------------------------------------- */ /* EXPAND1D() */ /* */ /* */ /* Decode a line of 1D-encoded data. */ /* */ /* The line expanders are written as macros so that they can */ /* be reused but still have direct access to the local */ /* variables of the "calling" function. */ /* */ /* Note that unlike the original version we have to explicitly */ /* test for a0 >= lastx after each black/white run is decoded. */ /* This is because the original code depended on the input data */ /* being zero-padded to insure the decoder recognized an EOL */ /* before running out of data. */ /* -------------------------------------------------------------------- */ do { for (;;) { for (;;) { LOOKUP16(12, TIFFFaxWhiteTable, eof1d); switch (TabEnt->State) { case S_EOL: EOLcnt = 1; goto done1d; case S_TermW: SETVAL(TabEnt->Param); goto doneWhite1d; case S_MakeUpW: case S_MakeUp: a0 += TabEnt->Param; RunLength += TabEnt->Param; break; default: unexpected("WhiteTable", a0); goto done1d; } } doneWhite1d: if (a0 >= lastx) goto done1d; for (;;) { LOOKUP16(13, TIFFFaxBlackTable, eof1d); switch (TabEnt->State) { case S_EOL: EOLcnt = 1; goto done1d; case S_TermB: SETVAL(TabEnt->Param); goto doneBlack1d; case S_MakeUpB: case S_MakeUp: a0 += TabEnt->Param; RunLength += TabEnt->Param; break; default: unexpected("BlackTable", a0); goto done1d; } } doneBlack1d: if (a0 >= lastx) goto done1d; if( *(pa-1) == 0 && *(pa-2) == 0 ) pa -= 2; } eof1d: prematureEOF(a0); CLEANUP_RUNS(); goto EOFRLE; done1d: CLEANUP_RUNS(); } while (0); /* -------------------------------------------------------------------- */ /* Fill */ /* -------------------------------------------------------------------- */ (*sp->fill)(buf, thisrun, pa, lastx); /* * Cleanup at the end of the row. */ if (mode & FAXMODE_BYTEALIGN) { int n = BitsAvail - (BitsAvail &~ 7); ClrBits(n); } else if (mode & FAXMODE_WORDALIGN) { int n = BitsAvail - (BitsAvail &~ 15); ClrBits(n); if (BitsAvail == 0 && !isAligned(cp, GUInt16)) cp++; } buf += sp->b.rowbytes; occ -= sp->b.rowbytes; #ifdef notdef if (occ != 0) tif->tif_row++; #endif continue; EOFRLE: /* premature EOF */ (*sp->fill)(buf, thisrun, pa, lastx); UNCACHE_STATE(sp); return (-1); } UNCACHE_STATE(sp); return (1); } /************************************************************************/ /* DecompressCCITTRLETile() */ /************************************************************************/ CPLErr DecompressCCITTRLETile( unsigned char *pabySrcData, int nSrcBytes, unsigned char *pabyDstData, int nDstBytes, int nBlockXSize, int nBlockYSize ) { Fax3DecodeState sDecoderState; Fax3BaseState* sp = (Fax3BaseState *) &sDecoderState; unsigned char runs_buf[4000]; long rowbytes, rowpixels; memset( &sDecoderState, 0, sizeof(sDecoderState) ); sp->groupoptions = 0; sp->recvparams = 0; sp->subaddress = NULL; DecoderState(sp)->runs = NULL; DecoderState(sp)->fill = _TIFFFax3fillruns; assert( sizeof(runs_buf) >= (nBlockXSize * 2 + 3) ); /* -------------------------------------------------------------------- */ /* */ /* -------------------------------------------------------------------- */ /* * Calculate the scanline/tile widths. */ rowbytes = nBlockXSize / 8; rowpixels = nBlockXSize; sp->rowbytes = (GUInt32) rowbytes; sp->rowpixels = (GUInt32) rowpixels; sp->mode |= FAXMODE_BYTEALIGN; /* * Allocate any additional space required for decoding/encoding. */ { Fax3DecodeState* dsp = DecoderState(sp); dsp->runs = (GUInt32*) runs_buf; dsp->curruns = dsp->runs; dsp->refruns = NULL; } /* -------------------------------------------------------------------- */ /* */ /* -------------------------------------------------------------------- */ DecoderState(sp)->bit = 0; /* force initial read */ DecoderState(sp)->data = 0; DecoderState(sp)->EOLcnt = 0; /* force initial scan for EOL */ DecoderState(sp)->bitmap = TIFFBitRevTable; if (DecoderState(sp)->refruns) { /* init reference line to white */ DecoderState(sp)->refruns[0] = (GUInt32) DecoderState(sp)->b.rowpixels; DecoderState(sp)->refruns[1] = 0; } if( Fax3DecodeRLE( sp, pabyDstData, nDstBytes, pabySrcData, nSrcBytes ) == 1 ) return CE_None; else return CE_Failure; }