1 : /******************************************************************************
2 : * $Id: aigccitt.c 22640 2011-07-03 15:52:40Z rouault $
3 : *
4 : * Project: Arc/Info Binary Grid Translator
5 : * Purpose: Code for decoding CCITT RLE (G1) compressed data.
6 : * Author: Frank Warmerdam, warmerdam@pobox.com
7 : * Code derived from libtiff (tif_fax3), which originally was
8 : * derived from code by Frank Cringle in viewfax.
9 : *
10 : ******************************************************************************
11 : * Copyright (c) 2002 Frank Warmerdam <warmerdam@pobox.com>
12 : * Copyright (c) 1990-1997 Sam Leffler
13 : * Copyright (c) 1991-1997 Silicon Graphics, Inc.
14 : *
15 : * Permission to use, copy, modify, distribute, and sell this software and
16 : * its documentation for any purpose is hereby granted without fee, provided
17 : * that (i) the above copyright notices and this permission notice appear in
18 : * all copies of the software and related documentation, and (ii) the names of
19 : * Sam Leffler and Silicon Graphics may not be used in any advertising or
20 : * publicity relating to the software without the specific, prior written
21 : * permission of Sam Leffler and Silicon Graphics.
22 : *
23 : * THE SOFTWARE IS PROVIDED "AS-IS" AND WITHOUT WARRANTY OF ANY KIND,
24 : * EXPRESS, IMPLIED OR OTHERWISE, INCLUDING WITHOUT LIMITATION, ANY
25 : * WARRANTY OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE.
26 : *
27 : * IN NO EVENT SHALL SAM LEFFLER OR SILICON GRAPHICS BE LIABLE FOR
28 : * ANY SPECIAL, INCIDENTAL, INDIRECT OR CONSEQUENTIAL DAMAGES OF ANY KIND,
29 : * OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS,
30 : * WHETHER OR NOT ADVISED OF THE POSSIBILITY OF DAMAGE, AND ON ANY THEORY OF
31 : * LIABILITY, ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE
32 : * OF THIS SOFTWARE.
33 : ****************************************************************************/
34 :
35 : #include <assert.h>
36 : #include "aigrid.h"
37 :
38 : /* ==================================================================== */
39 : /* Various declarations for the decompression state machine */
40 : /* cribbed from tif_fax3.h in libtiff. */
41 : /* ==================================================================== */
42 :
43 : #define FAXMODE_CLASSIC 0x0000 /* default, include RTC */
44 : #define FAXMODE_NORTC 0x0001 /* no RTC at end of data */
45 : #define FAXMODE_NOEOL 0x0002 /* no EOL code at end of row */
46 : #define FAXMODE_BYTEALIGN 0x0004 /* byte align row */
47 : #define FAXMODE_WORDALIGN 0x0008 /* word align row */
48 : #define FAXMODE_CLASSF FAXMODE_NORTC /* TIFF Class F */
49 :
50 : /*
51 : * To override the default routine used to image decoded
52 : * spans one can use the pseduo tag TIFFTAG_FAXFILLFUNC.
53 : * The routine must have the type signature given below;
54 : * for example:
55 : *
56 : * fillruns(unsigned char* buf, uint32* runs, uint32* erun, uint32 lastx)
57 : *
58 : * where buf is place to set the bits, runs is the array of b&w run
59 : * lengths (white then black), erun is the last run in the array, and
60 : * lastx is the width of the row in pixels. Fill routines can assume
61 : * the run array has room for at least lastx runs and can overwrite
62 : * data in the run array as needed (e.g. to append zero runs to bring
63 : * the count up to a nice multiple).
64 : */
65 : typedef void (*TIFFFaxFillFunc)(unsigned char*, GUInt32*, GUInt32*, GUInt32);
66 :
67 : /* finite state machine codes */
68 :
69 :
70 : #define S_Null 0
71 : #define S_Pass 1
72 : #define S_Horiz 2
73 : #define S_V0 3
74 : #define S_VR 4
75 : #define S_VL 5
76 : #define S_Ext 6
77 : #define S_TermW 7
78 : #define S_TermB 8
79 : #define S_MakeUpW 9
80 : #define S_MakeUpB 10
81 : #define S_MakeUp 11
82 : #define S_EOL 12
83 :
84 : typedef struct { /* state table entry */
85 : unsigned char State; /* see above */
86 : unsigned char Width; /* width of code in bits */
87 : GUInt32 Param; /* unsigned 32-bit run length in bits */
88 : } TIFFFaxTabEnt;
89 :
90 : static const TIFFFaxTabEnt aig_TIFFFaxMainTable[128] = {
91 : {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},
92 : {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},
93 : {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},
94 : {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},
95 : {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},
96 : {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},
97 : {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},
98 : {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},
99 : {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},
100 : {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},
101 : {1,4,0},{3,1,0},{5,3,1},{3,1,0},{2,3,0},{3,1,0},{4,3,1},{3,1,0}
102 : };
103 : static const TIFFFaxTabEnt aig_TIFFFaxWhiteTable[4096] = {
104 : {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},
105 : {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},
106 : {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},
107 : {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},
108 : {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},
109 : {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},
110 : {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},
111 : {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},
112 : {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},
113 : {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},
114 : {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},
115 : {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},
116 : {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},
117 : {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},
118 : {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},
119 : {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},
120 : {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},
121 : {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},
122 : {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},
123 : {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},
124 : {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},
125 : {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},
126 : {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},
127 : {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},
128 : {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},
129 : {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},
130 : {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},
131 : {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},
132 : {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},
133 : {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},
134 : {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},
135 : {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},
136 : {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},
137 : {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},
138 : {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},
139 : {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},
140 : {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},
141 : {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},
142 : {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},
143 : {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},
144 : {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},
145 : {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},
146 : {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},
147 : {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},
148 : {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},
149 : {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},
150 : {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},
151 : {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},
152 : {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},
153 : {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},
154 : {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},
155 : {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},
156 : {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},
157 : {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},
158 : {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},
159 : {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},
160 : {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},
161 : {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},
162 : {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},
163 : {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},
164 : {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},
165 : {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},
166 : {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},
167 : {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},
168 : {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},
169 : {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},
170 : {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},
171 : {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},
172 : {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},
173 : {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},
174 : {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},
175 : {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},
176 : {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},
177 : {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},
178 : {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},
179 : {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},
180 : {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},
181 : {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},
182 : {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},
183 : {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},
184 : {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},
185 : {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},
186 : {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},
187 : {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},
188 : {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},
189 : {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},
190 : {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},
191 : {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},
192 : {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},
193 : {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},
194 : {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},
195 : {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},
196 : {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},
197 : {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},
198 : {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},
199 : {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},
200 : {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},
201 : {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},
202 : {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},
203 : {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},
204 : {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},
205 : {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},
206 : {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},
207 : {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},
208 : {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},
209 : {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},
210 : {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},
211 : {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},
212 : {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},
213 : {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},
214 : {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},
215 : {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},
216 : {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},
217 : {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},
218 : {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},
219 : {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},
220 : {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},
221 : {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},
222 : {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},
223 : {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},
224 : {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},
225 : {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},
226 : {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},
227 : {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},
228 : {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},
229 : {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},
230 : {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},
231 : {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},
232 : {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},
233 : {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},
234 : {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},
235 : {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},
236 : {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},
237 : {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},
238 : {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},
239 : {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},
240 : {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},
241 : {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},
242 : {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},
243 : {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},
244 : {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},
245 : {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},
246 : {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},
247 : {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},
248 : {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},
249 : {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},
250 : {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},
251 : {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},
252 : {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},
253 : {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},
254 : {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},
255 : {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},
256 : {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},
257 : {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},
258 : {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},
259 : {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},
260 : {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},
261 : {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},
262 : {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},
263 : {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},
264 : {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},
265 : {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},
266 : {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},
267 : {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},
268 : {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},
269 : {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},
270 : {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},
271 : {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},
272 : {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},
273 : {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},
274 : {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},
275 : {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},
276 : {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},
277 : {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},
278 : {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},
279 : {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},
280 : {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},
281 : {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},
282 : {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},
283 : {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},
284 : {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},
285 : {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},
286 : {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},
287 : {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},
288 : {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},
289 : {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},
290 : {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},
291 : {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},
292 : {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},
293 : {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},
294 : {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},
295 : {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},
296 : {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},
297 : {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},
298 : {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},
299 : {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},
300 : {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},
301 : {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},
302 : {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},
303 : {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},
304 : {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},
305 : {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},
306 : {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},
307 : {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},
308 : {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},
309 : {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},
310 : {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},
311 : {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},
312 : {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},
313 : {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},
314 : {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},
315 : {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},
316 : {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},
317 : {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},
318 : {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},
319 : {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},
320 : {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},
321 : {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},
322 : {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},
323 : {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},
324 : {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},
325 : {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},
326 : {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},
327 : {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},
328 : {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},
329 : {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},
330 : {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},
331 : {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},
332 : {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},
333 : {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},
334 : {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},
335 : {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},
336 : {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},
337 : {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},
338 : {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},
339 : {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},
340 : {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},
341 : {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},
342 : {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},
343 : {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},
344 : {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},
345 : {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},
346 : {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},
347 : {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},
348 : {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},
349 : {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},
350 : {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},
351 : {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},
352 : {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},
353 : {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},
354 : {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},
355 : {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},
356 : {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},
357 : {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},
358 : {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},
359 : {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},
360 : {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},
361 : {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},
362 : {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},
363 : {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},
364 : {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},
365 : {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},
366 : {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},
367 : {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},
368 : {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},
369 : {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},
370 : {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},
371 : {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},
372 : {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},
373 : {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},
374 : {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},
375 : {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},
376 : {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},
377 : {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},
378 : {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},
379 : {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},
380 : {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},
381 : {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},
382 : {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},
383 : {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},
384 : {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},
385 : {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},
386 : {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},
387 : {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},
388 : {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},
389 : {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},
390 : {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},
391 : {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},
392 : {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},
393 : {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},
394 : {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},
395 : {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},
396 : {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},
397 : {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},
398 : {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},
399 : {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},
400 : {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},
401 : {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},
402 : {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},
403 : {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},
404 : {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},
405 : {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},
406 : {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},
407 : {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},
408 : {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},
409 : {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},
410 : {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},
411 : {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},
412 : {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},
413 : {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},
414 : {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},
415 : {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},
416 : {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},
417 : {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},
418 : {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},
419 : {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},
420 : {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},
421 : {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},
422 : {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},
423 : {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},
424 : {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},
425 : {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},
426 : {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},
427 : {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},
428 : {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},
429 : {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},
430 : {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},
431 : {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},
432 : {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},
433 : {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},
434 : {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},
435 : {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},
436 : {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},
437 : {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},
438 : {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},
439 : {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},
440 : {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},
441 : {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},
442 : {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},
443 : {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},
444 : {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},
445 : {7,5,10},{7,4,4},{7,4,2},{7,4,7}
446 : };
447 : static const TIFFFaxTabEnt aig_TIFFFaxBlackTable[8192] = {
448 : {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},
449 : {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},
450 : {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},
451 : {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},
452 : {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},
453 : {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},
454 : {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},
455 : {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},
456 : {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},
457 : {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},
458 : {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},
459 : {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},
460 : {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},
461 : {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},
462 : {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},
463 : {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},
464 : {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},
465 : {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},
466 : {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},
467 : {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},
468 : {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},
469 : {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},
470 : {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},
471 : {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},
472 : {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},
473 : {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},
474 : {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},
475 : {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},
476 : {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},
477 : {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},
478 : {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},
479 : {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},
480 : {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},
481 : {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},
482 : {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},
483 : {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},
484 : {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},
485 : {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},
486 : {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},
487 : {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},
488 : {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},
489 : {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},
490 : {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},
491 : {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},
492 : {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},
493 : {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},
494 : {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},
495 : {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},
496 : {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},
497 : {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},
498 : {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},
499 : {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},
500 : {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},
501 : {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},
502 : {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},
503 : {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},
504 : {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},
505 : {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},
506 : {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},
507 : {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},
508 : {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},
509 : {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},
510 : {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},
511 : {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},
512 : {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},
513 : {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},
514 : {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},
515 : {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},
516 : {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},
517 : {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},
518 : {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},
519 : {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},
520 : {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},
521 : {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},
522 : {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},
523 : {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},
524 : {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},
525 : {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},
526 : {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},
527 : {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},
528 : {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},
529 : {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},
530 : {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},
531 : {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},
532 : {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},
533 : {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},
534 : {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},
535 : {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},
536 : {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},
537 : {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},
538 : {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},
539 : {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},
540 : {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},
541 : {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},
542 : {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},
543 : {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},
544 : {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},
545 : {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},
546 : {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},
547 : {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},
548 : {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},
549 : {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},
550 : {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},
551 : {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},
552 : {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},
553 : {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},
554 : {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},
555 : {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},
556 : {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},
557 : {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},
558 : {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},
559 : {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},
560 : {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},
561 : {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},
562 : {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},
563 : {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},
564 : {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},
565 : {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},
566 : {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},
567 : {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},
568 : {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},
569 : {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},
570 : {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},
571 : {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},
572 : {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},
573 : {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},
574 : {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},
575 : {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},
576 : {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},
577 : {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},
578 : {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},
579 : {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},
580 : {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},
581 : {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},
582 : {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},
583 : {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},
584 : {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},
585 : {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},
586 : {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},
587 : {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},
588 : {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},
589 : {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},
590 : {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},
591 : {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},
592 : {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},
593 : {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},
594 : {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},
595 : {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},
596 : {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},
597 : {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},
598 : {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},
599 : {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},
600 : {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},
601 : {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},
602 : {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},
603 : {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},
604 : {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},
605 : {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},
606 : {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},
607 : {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},
608 : {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},
609 : {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},
610 : {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},
611 : {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},
612 : {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},
613 : {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},
614 : {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},
615 : {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},
616 : {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},
617 : {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},
618 : {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},
619 : {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},
620 : {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},
621 : {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},
622 : {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},
623 : {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},
624 : {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},
625 : {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},
626 : {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},
627 : {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},
628 : {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},
629 : {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},
630 : {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},
631 : {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},
632 : {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},
633 : {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},
634 : {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},
635 : {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},
636 : {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},
637 : {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},
638 : {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},
639 : {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},
640 : {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},
641 : {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},
642 : {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},
643 : {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},
644 : {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},
645 : {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},
646 : {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},
647 : {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},
648 : {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},
649 : {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},
650 : {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},
651 : {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},
652 : {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},
653 : {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},
654 : {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},
655 : {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},
656 : {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},
657 : {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},
658 : {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},
659 : {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},
660 : {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},
661 : {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},
662 : {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},
663 : {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},
664 : {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},
665 : {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},
666 : {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},
667 : {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},
668 : {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},
669 : {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},
670 : {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},
671 : {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},
672 : {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},
673 : {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},
674 : {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},
675 : {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},
676 : {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},
677 : {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},
678 : {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},
679 : {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},
680 : {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},
681 : {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},
682 : {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},
683 : {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},
684 : {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},
685 : {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},
686 : {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},
687 : {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},
688 : {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},
689 : {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},
690 : {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},
691 : {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},
692 : {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},
693 : {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},
694 : {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},
695 : {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},
696 : {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},
697 : {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},
698 : {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},
699 : {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},
700 : {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},
701 : {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},
702 : {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},
703 : {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},
704 : {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},
705 : {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},
706 : {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},
707 : {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},
708 : {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},
709 : {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},
710 : {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},
711 : {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},
712 : {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},
713 : {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},
714 : {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},
715 : {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},
716 : {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},
717 : {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},
718 : {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},
719 : {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},
720 : {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},
721 : {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},
722 : {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},
723 : {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},
724 : {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},
725 : {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},
726 : {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},
727 : {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},
728 : {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},
729 : {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},
730 : {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},
731 : {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},
732 : {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},
733 : {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},
734 : {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},
735 : {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},
736 : {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},
737 : {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},
738 : {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},
739 : {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},
740 : {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},
741 : {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},
742 : {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},
743 : {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},
744 : {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},
745 : {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},
746 : {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},
747 : {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},
748 : {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},
749 : {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},
750 : {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},
751 : {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},
752 : {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},
753 : {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},
754 : {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},
755 : {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},
756 : {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},
757 : {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},
758 : {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},
759 : {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},
760 : {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},
761 : {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},
762 : {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},
763 : {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},
764 : {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},
765 : {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},
766 : {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},
767 : {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},
768 : {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},
769 : {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},
770 : {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},
771 : {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},
772 : {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},
773 : {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},
774 : {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},
775 : {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},
776 : {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},
777 : {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},
778 : {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},
779 : {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},
780 : {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},
781 : {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},
782 : {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},
783 : {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},
784 : {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},
785 : {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},
786 : {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},
787 : {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},
788 : {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},
789 : {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},
790 : {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},
791 : {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},
792 : {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},
793 : {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},
794 : {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},
795 : {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},
796 : {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},
797 : {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},
798 : {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},
799 : {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},
800 : {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},
801 : {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},
802 : {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},
803 : {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},
804 : {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},
805 : {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},
806 : {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},
807 : {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},
808 : {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},
809 : {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},
810 : {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},
811 : {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},
812 : {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},
813 : {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},
814 : {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},
815 : {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},
816 : {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},
817 : {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},
818 : {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},
819 : {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},
820 : {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},
821 : {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},
822 : {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},
823 : {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},
824 : {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},
825 : {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},
826 : {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},
827 : {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},
828 : {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},
829 : {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},
830 : {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},
831 : {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},
832 : {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},
833 : {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},
834 : {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},
835 : {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},
836 : {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},
837 : {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},
838 : {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},
839 : {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},
840 : {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},
841 : {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},
842 : {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},
843 : {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},
844 : {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},
845 : {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},
846 : {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},
847 : {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},
848 : {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},
849 : {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},
850 : {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},
851 : {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},
852 : {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},
853 : {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},
854 : {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},
855 : {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},
856 : {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},
857 : {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},
858 : {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},
859 : {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},
860 : {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},
861 : {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},
862 : {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},
863 : {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},
864 : {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},
865 : {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},
866 : {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},
867 : {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},
868 : {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},
869 : {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},
870 : {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},
871 : {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},
872 : {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},
873 : {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},
874 : {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},
875 : {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},
876 : {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},
877 : {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},
878 : {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},
879 : {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},
880 : {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},
881 : {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},
882 : {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},
883 : {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},
884 : {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},
885 : {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},
886 : {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},
887 : {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},
888 : {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},
889 : {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},
890 : {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},
891 : {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},
892 : {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},
893 : {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},
894 : {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},
895 : {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},
896 : {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},
897 : {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},
898 : {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},
899 : {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},
900 : {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},
901 : {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},
902 : {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},
903 : {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},
904 : {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},
905 : {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},
906 : {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},
907 : {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},
908 : {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},
909 : {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},
910 : {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},
911 : {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},
912 : {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},
913 : {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},
914 : {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},
915 : {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},
916 : {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},
917 : {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},
918 : {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},
919 : {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},
920 : {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},
921 : {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},
922 : {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},
923 : {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},
924 : {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},
925 : {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},
926 : {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},
927 : {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},
928 : {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},
929 : {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},
930 : {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},
931 : {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},
932 : {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},
933 : {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},
934 : {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},
935 : {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},
936 : {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},
937 : {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},
938 : {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},
939 : {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},
940 : {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},
941 : {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},
942 : {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},
943 : {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},
944 : {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},
945 : {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},
946 : {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},
947 : {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},
948 : {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},
949 : {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},
950 : {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},
951 : {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},
952 : {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},
953 : {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},
954 : {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},
955 : {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},
956 : {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},
957 : {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},
958 : {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},
959 : {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},
960 : {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},
961 : {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},
962 : {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},
963 : {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},
964 : {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},
965 : {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},
966 : {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},
967 : {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},
968 : {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},
969 : {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},
970 : {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},
971 : {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},
972 : {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},
973 : {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},
974 : {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},
975 : {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},
976 : {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},
977 : {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},
978 : {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},
979 : {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},
980 : {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},
981 : {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},
982 : {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},
983 : {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},
984 : {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},
985 : {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},
986 : {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},
987 : {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},
988 : {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},
989 : {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},
990 : {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},
991 : {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},
992 : {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},
993 : {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},
994 : {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},
995 : {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},
996 : {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},
997 : {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},
998 : {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},
999 : {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},
1000 : {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},
1001 : {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},
1002 : {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},
1003 : {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},
1004 : {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},
1005 : {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},
1006 : {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},
1007 : {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},
1008 : {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},
1009 : {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},
1010 : {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},
1011 : {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},
1012 : {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},
1013 : {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},
1014 : {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},
1015 : {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},
1016 : {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},
1017 : {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},
1018 : {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},
1019 : {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},
1020 : {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},
1021 : {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},
1022 : {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},
1023 : {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},
1024 : {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},
1025 : {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},
1026 : {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},
1027 : {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},
1028 : {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},
1029 : {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},
1030 : {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},
1031 : {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},
1032 : {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},
1033 : {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},
1034 : {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},
1035 : {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},
1036 : {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},
1037 : {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},
1038 : {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},
1039 : {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},
1040 : {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},
1041 : {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},
1042 : {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},
1043 : {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},
1044 : {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},
1045 : {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},
1046 : {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},
1047 : {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},
1048 : {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},
1049 : {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},
1050 : {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},
1051 : {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},
1052 : {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},
1053 : {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},
1054 : {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},
1055 : {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},
1056 : {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},
1057 : {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},
1058 : {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},
1059 : {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},
1060 : {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},
1061 : {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},
1062 : {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},
1063 : {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},
1064 : {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},
1065 : {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},
1066 : {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},
1067 : {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},
1068 : {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},
1069 : {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},
1070 : {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},
1071 : {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},
1072 : {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},
1073 : {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},
1074 : {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},
1075 : {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},
1076 : {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},
1077 : {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},
1078 : {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},
1079 : {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},
1080 : {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},
1081 : {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},
1082 : {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},
1083 : {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},
1084 : {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},
1085 : {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},
1086 : {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},
1087 : {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},
1088 : {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},
1089 : {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},
1090 : {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},
1091 : {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},
1092 : {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},
1093 : {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},
1094 : {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},
1095 : {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},
1096 : {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},
1097 : {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},
1098 : {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},
1099 : {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},
1100 : {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},
1101 : {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},
1102 : {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},
1103 : {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},
1104 : {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},
1105 : {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},
1106 : {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},
1107 : {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},
1108 : {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},
1109 : {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},
1110 : {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},
1111 : {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},
1112 : {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},
1113 : {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},
1114 : {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},
1115 : {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},
1116 : {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},
1117 : {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},
1118 : {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},
1119 : {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},
1120 : {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},
1121 : {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},
1122 : {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},
1123 : {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},
1124 : {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},
1125 : {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},
1126 : {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},
1127 : {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},
1128 : {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},
1129 : {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},
1130 : {8,5,7},{8,2,3},{8,3,1},{8,2,2},{8,4,5},{8,2,3},{8,3,4},{8,2,2}
1131 : };
1132 :
1133 : static const unsigned char aig_TIFFBitRevTable[256] = {
1134 : 0x00, 0x80, 0x40, 0xc0, 0x20, 0xa0, 0x60, 0xe0,
1135 : 0x10, 0x90, 0x50, 0xd0, 0x30, 0xb0, 0x70, 0xf0,
1136 : 0x08, 0x88, 0x48, 0xc8, 0x28, 0xa8, 0x68, 0xe8,
1137 : 0x18, 0x98, 0x58, 0xd8, 0x38, 0xb8, 0x78, 0xf8,
1138 : 0x04, 0x84, 0x44, 0xc4, 0x24, 0xa4, 0x64, 0xe4,
1139 : 0x14, 0x94, 0x54, 0xd4, 0x34, 0xb4, 0x74, 0xf4,
1140 : 0x0c, 0x8c, 0x4c, 0xcc, 0x2c, 0xac, 0x6c, 0xec,
1141 : 0x1c, 0x9c, 0x5c, 0xdc, 0x3c, 0xbc, 0x7c, 0xfc,
1142 : 0x02, 0x82, 0x42, 0xc2, 0x22, 0xa2, 0x62, 0xe2,
1143 : 0x12, 0x92, 0x52, 0xd2, 0x32, 0xb2, 0x72, 0xf2,
1144 : 0x0a, 0x8a, 0x4a, 0xca, 0x2a, 0xaa, 0x6a, 0xea,
1145 : 0x1a, 0x9a, 0x5a, 0xda, 0x3a, 0xba, 0x7a, 0xfa,
1146 : 0x06, 0x86, 0x46, 0xc6, 0x26, 0xa6, 0x66, 0xe6,
1147 : 0x16, 0x96, 0x56, 0xd6, 0x36, 0xb6, 0x76, 0xf6,
1148 : 0x0e, 0x8e, 0x4e, 0xce, 0x2e, 0xae, 0x6e, 0xee,
1149 : 0x1e, 0x9e, 0x5e, 0xde, 0x3e, 0xbe, 0x7e, 0xfe,
1150 : 0x01, 0x81, 0x41, 0xc1, 0x21, 0xa1, 0x61, 0xe1,
1151 : 0x11, 0x91, 0x51, 0xd1, 0x31, 0xb1, 0x71, 0xf1,
1152 : 0x09, 0x89, 0x49, 0xc9, 0x29, 0xa9, 0x69, 0xe9,
1153 : 0x19, 0x99, 0x59, 0xd9, 0x39, 0xb9, 0x79, 0xf9,
1154 : 0x05, 0x85, 0x45, 0xc5, 0x25, 0xa5, 0x65, 0xe5,
1155 : 0x15, 0x95, 0x55, 0xd5, 0x35, 0xb5, 0x75, 0xf5,
1156 : 0x0d, 0x8d, 0x4d, 0xcd, 0x2d, 0xad, 0x6d, 0xed,
1157 : 0x1d, 0x9d, 0x5d, 0xdd, 0x3d, 0xbd, 0x7d, 0xfd,
1158 : 0x03, 0x83, 0x43, 0xc3, 0x23, 0xa3, 0x63, 0xe3,
1159 : 0x13, 0x93, 0x53, 0xd3, 0x33, 0xb3, 0x73, 0xf3,
1160 : 0x0b, 0x8b, 0x4b, 0xcb, 0x2b, 0xab, 0x6b, 0xeb,
1161 : 0x1b, 0x9b, 0x5b, 0xdb, 0x3b, 0xbb, 0x7b, 0xfb,
1162 : 0x07, 0x87, 0x47, 0xc7, 0x27, 0xa7, 0x67, 0xe7,
1163 : 0x17, 0x97, 0x57, 0xd7, 0x37, 0xb7, 0x77, 0xf7,
1164 : 0x0f, 0x8f, 0x4f, 0xcf, 0x2f, 0xaf, 0x6f, 0xef,
1165 : 0x1f, 0x9f, 0x5f, 0xdf, 0x3f, 0xbf, 0x7f, 0xff
1166 : };
1167 : static const unsigned char aig_TIFFNoBitRevTable[256] = {
1168 : 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07,
1169 : 0x08, 0x09, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f,
1170 : 0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17,
1171 : 0x18, 0x19, 0x1a, 0x1b, 0x1c, 0x1d, 0x1e, 0x1f,
1172 : 0x20, 0x21, 0x22, 0x23, 0x24, 0x25, 0x26, 0x27,
1173 : 0x28, 0x29, 0x2a, 0x2b, 0x2c, 0x2d, 0x2e, 0x2f,
1174 : 0x30, 0x31, 0x32, 0x33, 0x34, 0x35, 0x36, 0x37,
1175 : 0x38, 0x39, 0x3a, 0x3b, 0x3c, 0x3d, 0x3e, 0x3f,
1176 : 0x40, 0x41, 0x42, 0x43, 0x44, 0x45, 0x46, 0x47,
1177 : 0x48, 0x49, 0x4a, 0x4b, 0x4c, 0x4d, 0x4e, 0x4f,
1178 : 0x50, 0x51, 0x52, 0x53, 0x54, 0x55, 0x56, 0x57,
1179 : 0x58, 0x59, 0x5a, 0x5b, 0x5c, 0x5d, 0x5e, 0x5f,
1180 : 0x60, 0x61, 0x62, 0x63, 0x64, 0x65, 0x66, 0x67,
1181 : 0x68, 0x69, 0x6a, 0x6b, 0x6c, 0x6d, 0x6e, 0x6f,
1182 : 0x70, 0x71, 0x72, 0x73, 0x74, 0x75, 0x76, 0x77,
1183 : 0x78, 0x79, 0x7a, 0x7b, 0x7c, 0x7d, 0x7e, 0x7f,
1184 : 0x80, 0x81, 0x82, 0x83, 0x84, 0x85, 0x86, 0x87,
1185 : 0x88, 0x89, 0x8a, 0x8b, 0x8c, 0x8d, 0x8e, 0x8f,
1186 : 0x90, 0x91, 0x92, 0x93, 0x94, 0x95, 0x96, 0x97,
1187 : 0x98, 0x99, 0x9a, 0x9b, 0x9c, 0x9d, 0x9e, 0x9f,
1188 : 0xa0, 0xa1, 0xa2, 0xa3, 0xa4, 0xa5, 0xa6, 0xa7,
1189 : 0xa8, 0xa9, 0xaa, 0xab, 0xac, 0xad, 0xae, 0xaf,
1190 : 0xb0, 0xb1, 0xb2, 0xb3, 0xb4, 0xb5, 0xb6, 0xb7,
1191 : 0xb8, 0xb9, 0xba, 0xbb, 0xbc, 0xbd, 0xbe, 0xbf,
1192 : 0xc0, 0xc1, 0xc2, 0xc3, 0xc4, 0xc5, 0xc6, 0xc7,
1193 : 0xc8, 0xc9, 0xca, 0xcb, 0xcc, 0xcd, 0xce, 0xcf,
1194 : 0xd0, 0xd1, 0xd2, 0xd3, 0xd4, 0xd5, 0xd6, 0xd7,
1195 : 0xd8, 0xd9, 0xda, 0xdb, 0xdc, 0xdd, 0xde, 0xdf,
1196 : 0xe0, 0xe1, 0xe2, 0xe3, 0xe4, 0xe5, 0xe6, 0xe7,
1197 : 0xe8, 0xe9, 0xea, 0xeb, 0xec, 0xed, 0xee, 0xef,
1198 : 0xf0, 0xf1, 0xf2, 0xf3, 0xf4, 0xf5, 0xf6, 0xf7,
1199 : 0xf8, 0xf9, 0xfa, 0xfb, 0xfc, 0xfd, 0xfe, 0xff,
1200 : };
1201 :
1202 : /*
1203 : * The following macros define the majority of the G3/G4 decoder
1204 : * algorithm using the state tables defined elsewhere. To build
1205 : * a decoder you need some setup code and some glue code. Note
1206 : * that you may also need/want to change the way the NeedBits*
1207 : * macros get input data if, for example, you know the data to be
1208 : * decoded is properly aligned and oriented (doing so before running
1209 : * the decoder can be a big performance win).
1210 : *
1211 : * Consult the decoder in the TIFF library for an idea of what you
1212 : * need to define and setup to make use of these definitions.
1213 : *
1214 : * NB: to enable a debugging version of these macros define FAX3_DEBUG
1215 : * before including this file. Trace output goes to stdout.
1216 : */
1217 :
1218 : #ifndef EndOfData
1219 : #define EndOfData() (cp >= ep)
1220 : #endif
1221 : /*
1222 : * Need <=8 or <=16 bits of input data. Unlike viewfax we
1223 : * cannot use/assume a word-aligned, properly bit swizzled
1224 : * input data set because data may come from an arbitrarily
1225 : * aligned, read-only source such as a memory-mapped file.
1226 : * Note also that the viewfax decoder does not check for
1227 : * running off the end of the input data buffer. This is
1228 : * possible for G3-encoded data because it prescans the input
1229 : * data to count EOL markers, but can cause problems for G4
1230 : * data. In any event, we don't prescan and must watch for
1231 : * running out of data since we can't permit the library to
1232 : * scan past the end of the input data buffer.
1233 : *
1234 : * Finally, note that we must handle remaindered data at the end
1235 : * of a strip specially. The coder asks for a fixed number of
1236 : * bits when scanning for the next code. This may be more bits
1237 : * than are actually present in the data stream. If we appear
1238 : * to run out of data but still have some number of valid bits
1239 : * remaining then we makeup the requested amount with zeros and
1240 : * return successfully. If the returned data is incorrect then
1241 : * we should be called again and get a premature EOF error;
1242 : * otherwise we should get the right answer.
1243 : */
1244 : #ifndef NeedBits8
1245 : #define NeedBits8(n,eoflab) do { \
1246 : if (BitsAvail < (n)) { \
1247 : if (EndOfData()) { \
1248 : if (BitsAvail == 0) /* no valid bits */ \
1249 : goto eoflab; \
1250 : BitsAvail = (n); /* pad with zeros */ \
1251 : } else { \
1252 : BitAcc |= ((GUInt32) bitmap[*cp++])<<BitsAvail; \
1253 : BitsAvail += 8; \
1254 : } \
1255 : } \
1256 : } while (0)
1257 : #endif
1258 : #ifndef NeedBits16
1259 : #define NeedBits16(n,eoflab) do { \
1260 : if (BitsAvail < (n)) { \
1261 : if (EndOfData()) { \
1262 : if (BitsAvail == 0) /* no valid bits */ \
1263 : goto eoflab; \
1264 : BitsAvail = (n); /* pad with zeros */ \
1265 : } else { \
1266 : BitAcc |= ((GUInt32) bitmap[*cp++])<<BitsAvail; \
1267 : if ((BitsAvail += 8) < (n)) { \
1268 : if (EndOfData()) { \
1269 : /* NB: we know BitsAvail is non-zero here */ \
1270 : BitsAvail = (n); /* pad with zeros */ \
1271 : } else { \
1272 : BitAcc |= ((GUInt32) bitmap[*cp++])<<BitsAvail; \
1273 : BitsAvail += 8; \
1274 : } \
1275 : } \
1276 : } \
1277 : } \
1278 : } while (0)
1279 : #endif
1280 : #define GetBits(n) (BitAcc & ((1<<(n))-1))
1281 : #define ClrBits(n) do { \
1282 : BitsAvail -= (n); \
1283 : BitAcc >>= (n); \
1284 : } while (0)
1285 :
1286 : #ifdef FAX3_DEBUG
1287 : static const char* StateNames[] = {
1288 : "Null ",
1289 : "Pass ",
1290 : "Horiz ",
1291 : "V0 ",
1292 : "VR ",
1293 : "VL ",
1294 : "Ext ",
1295 : "TermW ",
1296 : "TermB ",
1297 : "MakeUpW",
1298 : "MakeUpB",
1299 : "MakeUp ",
1300 : "EOL ",
1301 : };
1302 : #define DEBUG_SHOW putchar(BitAcc & (1 << t) ? '1' : '0')
1303 : #define LOOKUP8(wid,tab,eoflab) do { \
1304 : int t; \
1305 : NeedBits8(wid,eoflab); \
1306 : TabEnt = tab + GetBits(wid); \
1307 : printf("%08lX/%d: %s%5d\t", (long) BitAcc, BitsAvail, \
1308 : StateNames[TabEnt->State], TabEnt->Param); \
1309 : for (t = 0; t < TabEnt->Width; t++) \
1310 : DEBUG_SHOW; \
1311 : putchar('\n'); \
1312 : fflush(stdout); \
1313 : ClrBits(TabEnt->Width); \
1314 : } while (0)
1315 : #define LOOKUP16(wid,tab,eoflab) do { \
1316 : int t; \
1317 : NeedBits16(wid,eoflab); \
1318 : TabEnt = tab + GetBits(wid); \
1319 : printf("%08lX/%d: %s%5d\t", (long) BitAcc, BitsAvail, \
1320 : StateNames[TabEnt->State], TabEnt->Param); \
1321 : for (t = 0; t < TabEnt->Width; t++) \
1322 : DEBUG_SHOW; \
1323 : putchar('\n'); \
1324 : fflush(stdout); \
1325 : ClrBits(TabEnt->Width); \
1326 : } while (0)
1327 :
1328 : #define SETVAL(x) do { \
1329 : *pa++ = RunLength + (x); \
1330 : printf("SETVAL: %d\t%d\n", RunLength + (x), a0); \
1331 : a0 += x; \
1332 : RunLength = 0; \
1333 : } while (0)
1334 : #else
1335 : #define LOOKUP8(wid,tab,eoflab) do { \
1336 : NeedBits8(wid,eoflab); \
1337 : TabEnt = tab + GetBits(wid); \
1338 : ClrBits(TabEnt->Width); \
1339 : } while (0)
1340 : #define LOOKUP16(wid,tab,eoflab) do { \
1341 : NeedBits16(wid,eoflab); \
1342 : TabEnt = tab + GetBits(wid); \
1343 : ClrBits(TabEnt->Width); \
1344 : } while (0)
1345 :
1346 : /*
1347 : * Append a run to the run length array for the
1348 : * current row and reset decoding state.
1349 : */
1350 : #define SETVAL(x) do { \
1351 : *pa++ = RunLength + (x); \
1352 : a0 += (x); \
1353 : RunLength = 0; \
1354 : } while (0)
1355 : #endif
1356 :
1357 : /*
1358 : * Synchronize input decoding at the start of each
1359 : * row by scanning for an EOL (if appropriate) and
1360 : * skipping any trash data that might be present
1361 : * after a decoding error. Note that the decoding
1362 : * done elsewhere that recognizes an EOL only consumes
1363 : * 11 consecutive zero bits. This means that if EOLcnt
1364 : * is non-zero then we still need to scan for the final flag
1365 : * bit that is part of the EOL code.
1366 : */
1367 : #define SYNC_EOL(eoflab) do { \
1368 : if (EOLcnt == 0) { \
1369 : for (;;) { \
1370 : NeedBits16(11,eoflab); \
1371 : if (GetBits(11) == 0) \
1372 : break; \
1373 : ClrBits(1); \
1374 : } \
1375 : } \
1376 : for (;;) { \
1377 : NeedBits8(8,eoflab); \
1378 : if (GetBits(8)) \
1379 : break; \
1380 : ClrBits(8); \
1381 : } \
1382 : while (GetBits(1) == 0) \
1383 : ClrBits(1); \
1384 : ClrBits(1); /* EOL bit */ \
1385 : EOLcnt = 0; /* reset EOL counter/flag */ \
1386 : } while (0)
1387 :
1388 : /*
1389 : * Cleanup the array of runs after decoding a row.
1390 : * We adjust final runs to insure the user buffer is not
1391 : * overwritten and/or undecoded area is white filled.
1392 : */
1393 : #define CLEANUP_RUNS() do { \
1394 : if (RunLength) \
1395 : SETVAL(0); \
1396 : if (a0 != lastx) { \
1397 : badlength(a0, lastx); \
1398 : while (a0 > lastx && pa > thisrun) \
1399 : a0 -= *--pa; \
1400 : if (a0 < lastx) { \
1401 : if (a0 < 0) \
1402 : a0 = 0; \
1403 : if ((pa-thisrun)&1) \
1404 : SETVAL(0); \
1405 : SETVAL(lastx - a0); \
1406 : } else if (a0 > lastx) { \
1407 : SETVAL(lastx); \
1408 : SETVAL(0); \
1409 : } \
1410 : } \
1411 : } while (0)
1412 :
1413 : /*
1414 : * Decode a line of 1D-encoded data.
1415 : *
1416 : * The line expanders are written as macros so that they can be reused
1417 : * but still have direct access to the local variables of the "calling"
1418 : * function.
1419 : *
1420 : * Note that unlike the original version we have to explicitly test for
1421 : * a0 >= lastx after each black/white run is decoded. This is because
1422 : * the original code depended on the input data being zero-padded to
1423 : * insure the decoder recognized an EOL before running out of data.
1424 : */
1425 :
1426 : /*
1427 : * Update the value of b1 using the array
1428 : * of runs for the reference line.
1429 : */
1430 : #define CHECK_b1 do { \
1431 : if (pa != thisrun) while (b1 <= a0 && b1 < lastx) { \
1432 : b1 += pb[0] + pb[1]; \
1433 : pb += 2; \
1434 : } \
1435 : } while (0)
1436 :
1437 : /* ==================================================================== */
1438 : /* Declarations from tif_fax3.c */
1439 : /* ==================================================================== */
1440 :
1441 : /*
1442 : * Compression+decompression state blocks are
1443 : * derived from this ``base state'' block.
1444 : */
1445 : typedef struct {
1446 : int rw_mode; /* O_RDONLY for decode, else encode */
1447 : int mode; /* operating mode */
1448 : GUInt32 rowbytes; /* bytes in a decoded scanline */
1449 : GUInt32 rowpixels; /* pixels in a scanline */
1450 :
1451 : GUInt16 cleanfaxdata; /* CleanFaxData tag */
1452 : GUInt32 badfaxrun; /* BadFaxRun tag */
1453 : GUInt32 badfaxlines; /* BadFaxLines tag */
1454 : GUInt32 groupoptions; /* Group 3/4 options tag */
1455 : GUInt32 recvparams; /* encoded Class 2 session params */
1456 : char* subaddress; /* subaddress string */
1457 : GUInt32 recvtime; /* time spent receiving (secs) */
1458 : } Fax3BaseState;
1459 : #define Fax3State(tif) ((Fax3BaseState*) tif)
1460 :
1461 : typedef struct {
1462 : Fax3BaseState b;
1463 : const unsigned char* bitmap; /* bit reversal table */
1464 : GUInt32 data; /* current i/o byte/word */
1465 : int bit; /* current i/o bit in byte */
1466 : int EOLcnt; /* count of EOL codes recognized */
1467 : TIFFFaxFillFunc fill; /* fill routine */
1468 : GUInt32* runs; /* b&w runs for current/previous row */
1469 : GUInt32* refruns; /* runs for reference line */
1470 : GUInt32* curruns; /* runs for current line */
1471 : } Fax3DecodeState;
1472 : #define DecoderState(tif) ((Fax3DecodeState*) Fax3State(tif))
1473 :
1474 : typedef enum { G3_1D, G3_2D } Ttag;
1475 : #ifdef notdef
1476 : typedef struct {
1477 : Fax3BaseState b;
1478 : int data; /* current i/o byte */
1479 : int bit; /* current i/o bit in byte */
1480 : Ttag tag; /* encoding state */
1481 : unsigned char* refline; /* reference line for 2d decoding */
1482 : int k; /* #rows left that can be 2d encoded */
1483 : int maxk; /* max #rows that can be 2d encoded */
1484 : } Fax3EncodeState;
1485 : #define EncoderState(tif) ((Fax3EncodeState*) Fax3State(tif))
1486 : #endif
1487 :
1488 : #define is2DEncoding(sp) \
1489 : (sp->b.groupoptions & GROUP3OPT_2DENCODING)
1490 : #define isAligned(p,t) ((((unsigned long)(p)) & (sizeof (t)-1)) == 0)
1491 :
1492 : /*
1493 : * Group 3 and Group 4 Decoding.
1494 : */
1495 :
1496 : /*
1497 : * These macros glue the TIFF library state to
1498 : * the state expected by Frank's decoder.
1499 : */
1500 : #define DECLARE_STATE(tif, sp) \
1501 : Fax3DecodeState* sp = DecoderState(tif); \
1502 : int a0; /* reference element */ \
1503 : int lastx = sp->b.rowpixels; /* last element in row */ \
1504 : GUInt32 BitAcc; /* bit accumulator */ \
1505 : int BitsAvail; /* # valid bits in BitAcc */ \
1506 : int RunLength; /* length of current run */ \
1507 : unsigned char* cp; /* next byte of input data */ \
1508 : unsigned char* ep; /* end of input data */ \
1509 : GUInt32* pa; /* place to stuff next run */ \
1510 : GUInt32* thisrun; /* current row's run array */ \
1511 : int EOLcnt; /* # EOL codes recognized */ \
1512 : const unsigned char* bitmap = sp->bitmap; /* input data bit reverser */ \
1513 : const TIFFFaxTabEnt* TabEnt
1514 : #define DECLARE_STATE_2D(tif, sp, mod) \
1515 : DECLARE_STATE(tif, sp, mod); \
1516 : int b1; /* next change on prev line */ \
1517 : GUInt32* pb /* next run in reference line */\
1518 : /*
1519 : * Load any state that may be changed during decoding.
1520 : */
1521 : #define CACHE_STATE(sp) do { \
1522 : BitAcc = sp->data; \
1523 : BitsAvail = sp->bit; \
1524 : EOLcnt = sp->EOLcnt; \
1525 : cp = (unsigned char*) rawcp; \
1526 : ep = cp + rawcc; \
1527 : } while (0)
1528 : /*
1529 : * Save state possibly changed during decoding.
1530 : */
1531 : #define UNCACHE_STATE(sp) do { \
1532 : sp->bit = BitsAvail; \
1533 : sp->data = BitAcc; \
1534 : sp->EOLcnt = EOLcnt; \
1535 : rawcc -= (unsigned char *) cp - rawcp; \
1536 : rawcp = (unsigned char *) cp; \
1537 : } while (0)
1538 :
1539 : /*
1540 : * Routine for handling various errors/conditions.
1541 : * Note how they are "glued into the decoder" by
1542 : * overriding the definitions used by the decoder.
1543 : */
1544 :
1545 : static void
1546 0 : Fax3Unexpected()
1547 : {
1548 0 : CPLError( CE_Failure, CPLE_AppDefined,
1549 : "Bad code word" );
1550 0 : }
1551 : #define unexpected(table, a0) Fax3Unexpected()
1552 :
1553 : static void
1554 0 : Fax3BadLength(GUInt32 a0, GUInt32 lastx)
1555 : {
1556 0 : CPLError( CE_Warning, CPLE_AppDefined,
1557 : "%s (got %lu, expected %lu)",
1558 : a0 < lastx ? "Premature EOL" : "Line length mismatch",
1559 : (unsigned long) a0, (unsigned long) lastx );
1560 0 : }
1561 :
1562 : #define badlength(a0,lastx) Fax3BadLength(a0, lastx)
1563 :
1564 : static void
1565 0 : Fax3PrematureEOF()
1566 : {
1567 0 : CPLError( CE_Warning, CPLE_AppDefined,
1568 : "Premature EOF" );
1569 0 : }
1570 : #define prematureEOF(a0) Fax3PrematureEOF()
1571 :
1572 : #define Nop
1573 :
1574 : /*
1575 : * The ZERO & FILL macros must handle spans < 2*sizeof(long) bytes.
1576 : * For machines with 64-bit longs this is <16 bytes; otherwise
1577 : * this is <8 bytes. We optimize the code here to reflect the
1578 : * machine characteristics.
1579 : */
1580 : #if defined(__alpha) || _MIPS_SZLONG == 64 || defined(__LP64__) || defined(__arch64__)
1581 : #define FILL(n, cp) \
1582 : switch (n) { \
1583 : case 15:(cp)[14] = 0xff; case 14:(cp)[13] = 0xff; case 13: (cp)[12] = 0xff;\
1584 : case 12:(cp)[11] = 0xff; case 11:(cp)[10] = 0xff; case 10: (cp)[9] = 0xff;\
1585 : case 9: (cp)[8] = 0xff; case 8: (cp)[7] = 0xff; case 7: (cp)[6] = 0xff;\
1586 : case 6: (cp)[5] = 0xff; case 5: (cp)[4] = 0xff; case 4: (cp)[3] = 0xff;\
1587 : case 3: (cp)[2] = 0xff; case 2: (cp)[1] = 0xff; \
1588 : case 1: (cp)[0] = 0xff; (cp) += (n); case 0: ; \
1589 : }
1590 : #define ZERO(n, cp) \
1591 : switch (n) { \
1592 : case 15:(cp)[14] = 0; case 14:(cp)[13] = 0; case 13: (cp)[12] = 0; \
1593 : case 12:(cp)[11] = 0; case 11:(cp)[10] = 0; case 10: (cp)[9] = 0; \
1594 : case 9: (cp)[8] = 0; case 8: (cp)[7] = 0; case 7: (cp)[6] = 0; \
1595 : case 6: (cp)[5] = 0; case 5: (cp)[4] = 0; case 4: (cp)[3] = 0; \
1596 : case 3: (cp)[2] = 0; case 2: (cp)[1] = 0; \
1597 : case 1: (cp)[0] = 0; (cp) += (n); case 0: ; \
1598 : }
1599 : #else
1600 : #define FILL(n, cp) \
1601 : switch (n) { \
1602 : case 7: (cp)[6] = 0xff; case 6: (cp)[5] = 0xff; case 5: (cp)[4] = 0xff; \
1603 : case 4: (cp)[3] = 0xff; case 3: (cp)[2] = 0xff; case 2: (cp)[1] = 0xff; \
1604 : case 1: (cp)[0] = 0xff; (cp) += (n); case 0: ; \
1605 : }
1606 : #define ZERO(n, cp) \
1607 : switch (n) { \
1608 : case 7: (cp)[6] = 0; case 6: (cp)[5] = 0; case 5: (cp)[4] = 0; \
1609 : case 4: (cp)[3] = 0; case 3: (cp)[2] = 0; case 2: (cp)[1] = 0; \
1610 : case 1: (cp)[0] = 0; (cp) += (n); case 0: ; \
1611 : }
1612 : #endif
1613 :
1614 : /************************************************************************/
1615 : /* _TIFFFax3fillruns() */
1616 : /* */
1617 : /* Bit-fill a row according to the white/black */
1618 : /* runs generated during G3/G4 decoding. */
1619 : /************************************************************************/
1620 :
1621 : static void
1622 0 : aig_TIFFFax3fillruns(unsigned char* buf, GUInt32* runs, GUInt32* erun,
1623 : GUInt32 lastx)
1624 : {
1625 : static const unsigned char _fillmasks[] =
1626 : { 0x00, 0x80, 0xc0, 0xe0, 0xf0, 0xf8, 0xfc, 0xfe, 0xff };
1627 : unsigned char* cp;
1628 : GUInt32 x, bx, run;
1629 : GInt32 n, nw;
1630 : long* lp;
1631 :
1632 0 : if ((erun-runs)&1)
1633 0 : *erun++ = 0;
1634 0 : x = 0;
1635 0 : for (; runs < erun; runs += 2) {
1636 0 : run = runs[0];
1637 0 : if (x+run > lastx || run > lastx )
1638 0 : run = runs[0] = (GUInt32) (lastx - x);
1639 0 : if (run) {
1640 0 : cp = buf + (x>>3);
1641 0 : bx = x&7;
1642 0 : if (run > 8-bx) {
1643 0 : if (bx) { /* align to byte boundary */
1644 0 : *cp++ &= 0xff << (8-bx);
1645 0 : run -= 8-bx;
1646 : }
1647 0 : if( (n = run >> 3) != 0 ) { /* multiple bytes to fill */
1648 0 : if ((n/sizeof (long)) > 1) {
1649 : /*
1650 : * Align to longword boundary and fill.
1651 : */
1652 0 : for (; n && !isAligned(cp, long); n--)
1653 0 : *cp++ = 0x00;
1654 0 : lp = (long*) cp;
1655 0 : nw = (GInt32)(n / sizeof (long));
1656 0 : n -= nw * sizeof (long);
1657 : do {
1658 0 : *lp++ = 0L;
1659 0 : } while (--nw);
1660 0 : cp = (unsigned char*) lp;
1661 : }
1662 0 : ZERO(n, cp);
1663 0 : run &= 7;
1664 : }
1665 0 : if (run)
1666 0 : cp[0] &= 0xff >> run;
1667 : } else
1668 0 : cp[0] &= ~(_fillmasks[run]>>bx);
1669 0 : x += runs[0];
1670 : }
1671 0 : run = runs[1];
1672 0 : if (x+run > lastx || run > lastx )
1673 0 : run = runs[1] = lastx - x;
1674 0 : if (run) {
1675 0 : cp = buf + (x>>3);
1676 0 : bx = x&7;
1677 0 : if (run > 8-bx) {
1678 0 : if (bx) { /* align to byte boundary */
1679 0 : *cp++ |= 0xff >> bx;
1680 0 : run -= 8-bx;
1681 : }
1682 0 : if( (n = run>>3) != 0 ) { /* multiple bytes to fill */
1683 0 : if ((n/sizeof (long)) > 1) {
1684 : /*
1685 : * Align to longword boundary and fill.
1686 : */
1687 0 : for (; n && !isAligned(cp, long); n--)
1688 0 : *cp++ = 0xff;
1689 0 : lp = (long*) cp;
1690 0 : nw = (GInt32)(n / sizeof (long));
1691 0 : n -= nw * sizeof (long);
1692 : do {
1693 0 : *lp++ = -1L;
1694 0 : } while (--nw);
1695 0 : cp = (unsigned char*) lp;
1696 : }
1697 0 : FILL(n, cp);
1698 0 : run &= 7;
1699 : }
1700 0 : if (run)
1701 0 : cp[0] |= 0xff00 >> run;
1702 : } else
1703 0 : cp[0] |= _fillmasks[run]>>bx;
1704 0 : x += runs[1];
1705 : }
1706 : }
1707 0 : assert(x == lastx);
1708 0 : }
1709 : #undef ZERO
1710 : #undef FILL
1711 :
1712 : /************************************************************************/
1713 : /* Fax3DecodeRLE() */
1714 : /* */
1715 : /* Decode the requested amount of RLE-encoded data. */
1716 : /************************************************************************/
1717 :
1718 : static int
1719 0 : Fax3DecodeRLE(Fax3BaseState* tif, unsigned char *buf, int occ,
1720 : unsigned char *rawcp, int rawcc )
1721 : {
1722 0 : DECLARE_STATE(tif, sp);
1723 0 : int mode = sp->b.mode;
1724 :
1725 0 : CACHE_STATE(sp);
1726 0 : thisrun = sp->curruns;
1727 0 : while ((long)occ > 0) {
1728 0 : a0 = 0;
1729 0 : RunLength = 0;
1730 0 : pa = thisrun;
1731 : #ifdef FAX3_DEBUG
1732 : printf("\nBitAcc=%08X, BitsAvail = %d\n", BitAcc, BitsAvail);
1733 : printf("-------------------- \n");
1734 : fflush(stdout);
1735 : #endif
1736 :
1737 : /* -------------------------------------------------------------------- */
1738 : /* EXPAND1D() */
1739 : /* */
1740 : /* */
1741 : /* Decode a line of 1D-encoded data. */
1742 : /* */
1743 : /* The line expanders are written as macros so that they can */
1744 : /* be reused but still have direct access to the local */
1745 : /* variables of the "calling" function. */
1746 : /* */
1747 : /* Note that unlike the original version we have to explicitly */
1748 : /* test for a0 >= lastx after each black/white run is decoded. */
1749 : /* This is because the original code depended on the input data */
1750 : /* being zero-padded to insure the decoder recognized an EOL */
1751 : /* before running out of data. */
1752 : /* -------------------------------------------------------------------- */
1753 : do {
1754 : for (;;) {
1755 : for (;;) {
1756 0 : LOOKUP16(12, aig_TIFFFaxWhiteTable, eof1d);
1757 0 : switch (TabEnt->State) {
1758 : case S_EOL:
1759 0 : EOLcnt = 1;
1760 0 : goto done1d;
1761 : case S_TermW:
1762 0 : SETVAL(TabEnt->Param);
1763 0 : goto doneWhite1d;
1764 : case S_MakeUpW:
1765 : case S_MakeUp:
1766 0 : a0 += TabEnt->Param;
1767 0 : RunLength += TabEnt->Param;
1768 : break;
1769 : default:
1770 0 : unexpected("WhiteTable", a0);
1771 0 : goto done1d;
1772 : }
1773 0 : }
1774 : doneWhite1d:
1775 0 : if (a0 >= lastx)
1776 0 : goto done1d;
1777 : for (;;) {
1778 0 : LOOKUP16(13, aig_TIFFFaxBlackTable, eof1d);
1779 0 : switch (TabEnt->State) {
1780 : case S_EOL:
1781 0 : EOLcnt = 1;
1782 0 : goto done1d;
1783 : case S_TermB:
1784 0 : SETVAL(TabEnt->Param);
1785 0 : goto doneBlack1d;
1786 : case S_MakeUpB:
1787 : case S_MakeUp:
1788 0 : a0 += TabEnt->Param;
1789 0 : RunLength += TabEnt->Param;
1790 : break;
1791 : default:
1792 0 : unexpected("BlackTable", a0);
1793 0 : goto done1d;
1794 : }
1795 0 : }
1796 : doneBlack1d:
1797 0 : if (a0 >= lastx)
1798 0 : goto done1d;
1799 0 : if( *(pa-1) == 0 && *(pa-2) == 0 )
1800 0 : pa -= 2;
1801 0 : }
1802 : eof1d:
1803 0 : prematureEOF(a0);
1804 0 : CLEANUP_RUNS();
1805 0 : goto EOFRLE;
1806 : done1d:
1807 0 : CLEANUP_RUNS();
1808 : } while (0);
1809 :
1810 : /* -------------------------------------------------------------------- */
1811 : /* Fill */
1812 : /* -------------------------------------------------------------------- */
1813 0 : (*sp->fill)(buf, thisrun, pa, lastx);
1814 : /*
1815 : * Cleanup at the end of the row.
1816 : */
1817 0 : if (mode & FAXMODE_BYTEALIGN) {
1818 0 : int n = BitsAvail - (BitsAvail &~ 7);
1819 0 : ClrBits(n);
1820 0 : } else if (mode & FAXMODE_WORDALIGN) {
1821 0 : int n = BitsAvail - (BitsAvail &~ 15);
1822 0 : ClrBits(n);
1823 0 : if (BitsAvail == 0 && !isAligned(cp, GUInt16))
1824 0 : cp++;
1825 : }
1826 0 : buf += sp->b.rowbytes;
1827 0 : occ -= sp->b.rowbytes;
1828 : #ifdef notdef
1829 : if (occ != 0)
1830 : tif->tif_row++;
1831 : #endif
1832 0 : continue;
1833 : EOFRLE: /* premature EOF */
1834 0 : (*sp->fill)(buf, thisrun, pa, lastx);
1835 0 : UNCACHE_STATE(sp);
1836 0 : return (-1);
1837 : }
1838 0 : UNCACHE_STATE(sp);
1839 :
1840 0 : return (1);
1841 : }
1842 :
1843 :
1844 : /************************************************************************/
1845 : /* DecompressCCITTRLETile() */
1846 : /************************************************************************/
1847 :
1848 0 : CPLErr DecompressCCITTRLETile( unsigned char *pabySrcData, int nSrcBytes,
1849 : unsigned char *pabyDstData, int nDstBytes,
1850 : int nBlockXSize, int nBlockYSize )
1851 :
1852 : {
1853 : Fax3DecodeState sDecoderState;
1854 0 : Fax3BaseState* sp = (Fax3BaseState *) &sDecoderState;
1855 : unsigned char runs_buf[4000];
1856 : long rowbytes, rowpixels;
1857 :
1858 0 : memset( &sDecoderState, 0, sizeof(sDecoderState) );
1859 :
1860 0 : sp->groupoptions = 0;
1861 0 : sp->recvparams = 0;
1862 0 : sp->subaddress = NULL;
1863 :
1864 0 : DecoderState(sp)->runs = NULL;
1865 0 : DecoderState(sp)->fill = aig_TIFFFax3fillruns;
1866 :
1867 0 : if( sizeof(runs_buf) < (nBlockXSize * 2 + 3) )
1868 : {
1869 0 : CPLError(CE_Failure, CPLE_AppDefined, "Run buffer too small");
1870 0 : return CE_Failure;
1871 : }
1872 :
1873 : /* -------------------------------------------------------------------- */
1874 : /* */
1875 : /* -------------------------------------------------------------------- */
1876 : /*
1877 : * Calculate the scanline/tile widths.
1878 : */
1879 0 : rowbytes = nBlockXSize / 8;
1880 0 : rowpixels = nBlockXSize;
1881 :
1882 0 : sp->rowbytes = (GUInt32) rowbytes;
1883 0 : sp->rowpixels = (GUInt32) rowpixels;
1884 0 : sp->mode |= FAXMODE_BYTEALIGN;
1885 : /*
1886 : * Allocate any additional space required for decoding/encoding.
1887 : */
1888 : {
1889 0 : Fax3DecodeState* dsp = DecoderState(sp);
1890 :
1891 0 : dsp->runs = (GUInt32*) runs_buf;
1892 0 : dsp->curruns = dsp->runs;
1893 0 : dsp->refruns = NULL;
1894 : }
1895 :
1896 : /* -------------------------------------------------------------------- */
1897 : /* */
1898 : /* -------------------------------------------------------------------- */
1899 0 : DecoderState(sp)->bit = 0; /* force initial read */
1900 0 : DecoderState(sp)->data = 0;
1901 0 : DecoderState(sp)->EOLcnt = 0; /* force initial scan for EOL */
1902 :
1903 0 : DecoderState(sp)->bitmap = aig_TIFFBitRevTable;
1904 :
1905 0 : if (DecoderState(sp)->refruns) { /* init reference line to white */
1906 0 : DecoderState(sp)->refruns[0] = (GUInt32) DecoderState(sp)->b.rowpixels;
1907 0 : DecoderState(sp)->refruns[1] = 0;
1908 : }
1909 :
1910 0 : if( Fax3DecodeRLE( sp, pabyDstData, nDstBytes,
1911 : pabySrcData, nSrcBytes ) == 1 )
1912 0 : return CE_None;
1913 : else
1914 0 : return CE_Failure;
1915 : }
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