2 * common functions for Indeo Video Interactive codecs (Indeo4 and Indeo5)
4 * Copyright (c) 2009 Maxim Poliakovski
6 * This file is part of FFmpeg.
8 * FFmpeg is free software; you can redistribute it and/or
9 * modify it under the terms of the GNU Lesser General Public
10 * License as published by the Free Software Foundation; either
11 * version 2.1 of the License, or (at your option) any later version.
13 * FFmpeg is distributed in the hope that it will be useful,
14 * but WITHOUT ANY WARRANTY; without even the implied warranty of
15 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
16 * Lesser General Public License for more details.
18 * You should have received a copy of the GNU Lesser General Public
19 * License along with FFmpeg; if not, write to the Free Software
20 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
25 * This file contains functions and data shared by both Indeo4 and
29 #define ALT_BITSTREAM_READER_LE
32 #include "ivi_common.h"
33 #include "libavutil/common.h"
36 extern const IVIHuffDesc ff_ivi_mb_huff_desc[8]; ///< static macroblock huffman tables
37 extern const IVIHuffDesc ff_ivi_blk_huff_desc[8]; ///< static block huffman tables
39 VLC ff_ivi_mb_vlc_tabs [8];
40 VLC ff_ivi_blk_vlc_tabs[8];
43 * Reverses "nbits" bits of the value "val" and returns the result
44 * in the least significant bits.
46 static uint16_t inv_bits(uint16_t val, int nbits)
51 res = av_reverse[val] >> (8-nbits);
53 res = ((av_reverse[val & 0xFF] << 8) + (av_reverse[val >> 8])) >> (16-nbits);
58 int ff_ivi_create_huff_from_desc(const IVIHuffDesc *cb, VLC *vlc, int flag)
60 int pos, i, j, codes_per_row, prefix, not_last_row;
61 uint16_t codewords[256]; /* FIXME: move this temporal storage out? */
64 pos = 0; /* current position = 0 */
66 for (i = 0; i < cb->num_rows; i++) {
67 codes_per_row = 1 << cb->xbits[i];
68 not_last_row = (i != cb->num_rows - 1);
69 prefix = ((1 << i) - 1) << (cb->xbits[i] + not_last_row);
71 for (j = 0; j < codes_per_row; j++) {
72 if (pos >= 256) /* Some Indeo5 codebooks can have more than 256 */
73 break; /* elements, but only 256 codes are allowed! */
75 bits[pos] = i + cb->xbits[i] + not_last_row;
76 if (bits[pos] > IVI_VLC_BITS)
77 return -1; /* invalid descriptor */
79 codewords[pos] = inv_bits((prefix | j), bits[pos]);
87 /* number of codewords = pos */
88 return init_vlc(vlc, IVI_VLC_BITS, pos, bits, 1, 1, codewords, 2, 2,
89 (flag ? INIT_VLC_USE_NEW_STATIC : 0) | INIT_VLC_LE);
92 void ff_ivi_init_static_vlc(void)
95 static VLC_TYPE table_data[8192 * 16][2];
96 static int initialized_vlcs = 0;
100 for (i = 0; i < 8; i++) {
101 ff_ivi_mb_vlc_tabs[i].table = table_data + i * 2 * 8192;
102 ff_ivi_mb_vlc_tabs[i].table_allocated = 8192;
103 ff_ivi_create_huff_from_desc(&ff_ivi_mb_huff_desc[i], &ff_ivi_mb_vlc_tabs[i], 1);
104 ff_ivi_blk_vlc_tabs[i].table = table_data + (i * 2 + 1) * 8192;
105 ff_ivi_blk_vlc_tabs[i].table_allocated = 8192;
106 ff_ivi_create_huff_from_desc(&ff_ivi_blk_huff_desc[i], &ff_ivi_blk_vlc_tabs[i], 1);
108 initialized_vlcs = 1;
111 int ff_ivi_dec_huff_desc(GetBitContext *gb, int desc_coded, int which_tab,
112 IVIHuffTab *huff_tab, AVCodecContext *avctx)
115 IVIHuffDesc new_huff;
118 /* select default table */
119 huff_tab->tab = (which_tab) ? &ff_ivi_blk_vlc_tabs[7]
120 : &ff_ivi_mb_vlc_tabs [7];
122 huff_tab->tab_sel = get_bits(gb, 3);
123 if (huff_tab->tab_sel == 7) {
124 /* custom huffman table (explicitly encoded) */
125 new_huff.num_rows = get_bits(gb, 4);
127 for (i = 0; i < new_huff.num_rows; i++)
128 new_huff.xbits[i] = get_bits(gb, 4);
130 /* Have we got the same custom table? Rebuild if not. */
131 if (ff_ivi_huff_desc_cmp(&new_huff, &huff_tab->cust_desc)) {
132 ff_ivi_huff_desc_copy(&huff_tab->cust_desc, &new_huff);
134 if (huff_tab->cust_tab.table)
135 free_vlc(&huff_tab->cust_tab);
136 result = ff_ivi_create_huff_from_desc(&huff_tab->cust_desc,
137 &huff_tab->cust_tab, 0);
139 av_log(avctx, AV_LOG_ERROR,
140 "Error while initializing custom vlc table!\n");
144 huff_tab->tab = &huff_tab->cust_tab;
146 /* select one of predefined tables */
147 huff_tab->tab = (which_tab) ? &ff_ivi_blk_vlc_tabs[huff_tab->tab_sel]
148 : &ff_ivi_mb_vlc_tabs [huff_tab->tab_sel];
155 int ff_ivi_huff_desc_cmp(const IVIHuffDesc *desc1, const IVIHuffDesc *desc2)
157 return desc1->num_rows != desc2->num_rows
158 || memcmp(desc1->xbits, desc2->xbits, desc1->num_rows);
161 void ff_ivi_huff_desc_copy(IVIHuffDesc *dst, const IVIHuffDesc *src)
163 dst->num_rows = src->num_rows;
164 memcpy(dst->xbits, src->xbits, src->num_rows);
167 int av_cold ff_ivi_init_planes(IVIPlaneDesc *planes, const IVIPicConfig *cfg)
170 uint32_t b_width, b_height, align_fac, width_aligned, height_aligned, buf_size;
173 ff_ivi_free_buffers(planes);
175 /* fill in the descriptor of the luminance plane */
176 planes[0].width = cfg->pic_width;
177 planes[0].height = cfg->pic_height;
178 planes[0].num_bands = cfg->luma_bands;
180 /* fill in the descriptors of the chrominance planes */
181 planes[1].width = planes[2].width = (cfg->pic_width + 3) >> 2;
182 planes[1].height = planes[2].height = (cfg->pic_height + 3) >> 2;
183 planes[1].num_bands = planes[2].num_bands = cfg->chroma_bands;
185 for (p = 0; p < 3; p++) {
186 planes[p].bands = av_mallocz(planes[p].num_bands * sizeof(IVIBandDesc));
187 if (!planes[p].bands)
188 return AVERROR(ENOMEM);
190 /* select band dimensions: if there is only one band then it
191 * has the full size, if there are several bands each of them
192 * has only half size */
193 b_width = planes[p].num_bands == 1 ? planes[p].width : (planes[p].width + 1) >> 1;
194 b_height = planes[p].num_bands == 1 ? planes[p].height : (planes[p].height + 1) >> 1;
196 /* luma band buffers will be aligned on 16x16 (max macroblock size) */
197 /* chroma band buffers will be aligned on 8x8 (max macroblock size) */
198 align_fac = p ? 8 : 16;
199 width_aligned = FFALIGN(b_width , align_fac);
200 height_aligned = FFALIGN(b_height, align_fac);
201 buf_size = width_aligned * height_aligned * sizeof(int16_t);
203 for (b = 0; b < planes[p].num_bands; b++) {
204 band = &planes[p].bands[b]; /* select appropriate plane/band */
207 band->width = b_width;
208 band->height = b_height;
209 band->pitch = width_aligned;
210 band->bufs[0] = av_malloc(buf_size);
211 band->bufs[1] = av_malloc(buf_size);
212 if (!band->bufs[0] || !band->bufs[1])
213 return AVERROR(ENOMEM);
215 /* allocate the 3rd band buffer for scalability mode */
216 if (cfg->luma_bands > 1) {
217 band->bufs[2] = av_malloc(buf_size);
219 return AVERROR(ENOMEM);
222 planes[p].bands[0].blk_vlc.cust_desc.num_rows = 0; /* reset custom vlc */
229 void av_cold ff_ivi_free_buffers(IVIPlaneDesc *planes)
233 for (p = 0; p < 3; p++) {
234 for (b = 0; b < planes[p].num_bands; b++) {
235 av_freep(&planes[p].bands[b].bufs[0]);
236 av_freep(&planes[p].bands[b].bufs[1]);
237 av_freep(&planes[p].bands[b].bufs[2]);
239 if (planes[p].bands[b].blk_vlc.cust_tab.table)
240 free_vlc(&planes[p].bands[b].blk_vlc.cust_tab);
241 for (t = 0; t < planes[p].bands[b].num_tiles; t++)
242 av_freep(&planes[p].bands[b].tiles[t].mbs);
243 av_freep(&planes[p].bands[b].tiles);
245 av_freep(&planes[p].bands);
249 int av_cold ff_ivi_init_tiles(IVIPlaneDesc *planes, int tile_width, int tile_height)
251 int p, b, x, y, x_tiles, y_tiles, t_width, t_height;
253 IVITile *tile, *ref_tile;
255 for (p = 0; p < 3; p++) {
256 t_width = !p ? tile_width : (tile_width + 3) >> 2;
257 t_height = !p ? tile_height : (tile_height + 3) >> 2;
259 if (!p && planes[0].num_bands == 4) {
264 for (b = 0; b < planes[p].num_bands; b++) {
265 band = &planes[p].bands[b];
266 x_tiles = IVI_NUM_TILES(band->width, t_width);
267 y_tiles = IVI_NUM_TILES(band->height, t_height);
268 band->num_tiles = x_tiles * y_tiles;
270 av_freep(&band->tiles);
271 band->tiles = av_mallocz(band->num_tiles * sizeof(IVITile));
273 return AVERROR(ENOMEM);
277 /* use the first luma band as reference for motion vectors
279 ref_tile = planes[0].bands[0].tiles;
281 for (y = 0; y < band->height; y += t_height) {
282 for (x = 0; x < band->width; x += t_width) {
285 tile->width = FFMIN(band->width - x, t_width);
286 tile->height = FFMIN(band->height - y, t_height);
287 tile->is_empty = tile->data_size = 0;
288 /* calculate number of macroblocks */
289 tile->num_MBs = IVI_MBs_PER_TILE(tile->width, tile->height,
292 av_freep(&tile->mbs);
293 tile->mbs = av_malloc(tile->num_MBs * sizeof(IVIMbInfo));
295 return AVERROR(ENOMEM);
299 tile->ref_mbs = ref_tile->mbs;
313 int ff_ivi_dec_tile_data_size(GetBitContext *gb)
319 len = get_bits(gb, 8);
321 len = get_bits_long(gb, 24);
324 /* align the bitstream reader on the byte boundary */
330 int ff_ivi_decode_blocks(GetBitContext *gb, IVIBandDesc *band, IVITile *tile)
332 int mbn, blk, num_blocks, num_coeffs, blk_size, scan_pos, run, val,
333 pos, is_intra, mc_type, mv_x, mv_y, col_mask;
334 uint8_t col_flags[8];
335 int32_t prev_dc, trvec[64];
336 uint32_t cbp, sym, lo, hi, quant, buf_offs, q;
338 RVMapDesc *rvmap = band->rv_map;
339 void (*mc_with_delta_func)(int16_t *buf, const int16_t *ref_buf, uint32_t pitch, int mc_type);
340 void (*mc_no_delta_func) (int16_t *buf, const int16_t *ref_buf, uint32_t pitch, int mc_type);
341 const uint8_t *base_tab, *scale_tab;
343 prev_dc = 0; /* init intra prediction for the DC coefficient */
345 blk_size = band->blk_size;
346 col_mask = blk_size - 1; /* column mask for tracking non-zero coeffs */
347 num_blocks = (band->mb_size != blk_size) ? 4 : 1; /* number of blocks per mb */
348 num_coeffs = blk_size * blk_size;
350 mc_with_delta_func = ff_ivi_mc_8x8_delta;
351 mc_no_delta_func = ff_ivi_mc_8x8_no_delta;
353 mc_with_delta_func = ff_ivi_mc_4x4_delta;
354 mc_no_delta_func = ff_ivi_mc_4x4_no_delta;
357 for (mbn = 0, mb = tile->mbs; mbn < tile->num_MBs; mb++, mbn++) {
358 is_intra = !mb->type;
360 buf_offs = mb->buf_offs;
362 quant = av_clip(band->glob_quant + mb->q_delta, 0, 23);
364 base_tab = is_intra ? band->intra_base : band->inter_base;
365 scale_tab = is_intra ? band->intra_scale : band->inter_scale;
370 if (!band->is_halfpel) {
371 mc_type = 0; /* we have only fullpel vectors */
373 mc_type = ((mv_y & 1) << 1) | (mv_x & 1);
375 mv_y >>= 1; /* convert halfpel vectors into fullpel ones */
379 for (blk = 0; blk < num_blocks; blk++) {
380 /* adjust block position in the buffer according to its number */
382 buf_offs += blk_size;
383 } else if (blk == 2) {
384 buf_offs -= blk_size;
385 buf_offs += blk_size * band->pitch;
388 if (cbp & 1) { /* block coded ? */
390 memset(trvec, 0, num_coeffs*sizeof(trvec[0])); /* zero transform vector */
391 memset(col_flags, 0, sizeof(col_flags)); /* zero column flags */
393 while (scan_pos <= num_coeffs) {
394 sym = get_vlc2(gb, band->blk_vlc.tab->table, IVI_VLC_BITS, 1);
395 if (sym == rvmap->eob_sym)
396 break; /* End of block */
398 if (sym == rvmap->esc_sym) { /* Escape - run/val explicitly coded using 3 vlc codes */
399 run = get_vlc2(gb, band->blk_vlc.tab->table, IVI_VLC_BITS, 1) + 1;
400 lo = get_vlc2(gb, band->blk_vlc.tab->table, IVI_VLC_BITS, 1);
401 hi = get_vlc2(gb, band->blk_vlc.tab->table, IVI_VLC_BITS, 1);
402 val = IVI_TOSIGNED((hi << 6) | lo); /* merge them and convert into signed val */
404 run = rvmap->runtab[sym];
405 val = rvmap->valtab[sym];
408 /* de-zigzag and dequantize */
410 if (scan_pos >= num_coeffs)
412 pos = band->scan[scan_pos];
414 if (IVI_DEBUG && !val)
415 av_log(NULL, AV_LOG_ERROR, "Val = 0 encountered!\n");
417 q = (base_tab[pos] * scale_tab[quant]) >> 8;
419 val = val * q + FFSIGN(val) * ((q >> 1) - (q & 1));
421 col_flags[pos & col_mask] |= !!val; /* track columns containing non-zero coeffs */
424 if (scan_pos >= num_coeffs && sym != rvmap->eob_sym)
425 return -1; /* corrupt block data */
427 /* undoing DC coeff prediction for intra-blocks */
428 if (is_intra && band->is_2d_trans) {
431 col_flags[0] |= !!prev_dc;
434 /* apply inverse transform */
435 band->inv_transform(trvec, band->buf + buf_offs,
436 band->pitch, col_flags);
438 /* apply motion compensation */
440 mc_with_delta_func(band->buf + buf_offs,
441 band->ref_buf + buf_offs + mv_y * band->pitch + mv_x,
442 band->pitch, mc_type);
444 /* block not coded */
445 /* for intra blocks apply the dc slant transform */
446 /* for inter - perform the motion compensation without delta */
447 if (is_intra && band->dc_transform) {
448 band->dc_transform(&prev_dc, band->buf + buf_offs,
449 band->pitch, blk_size);
451 mc_no_delta_func(band->buf + buf_offs,
452 band->ref_buf + buf_offs + mv_y * band->pitch + mv_x,
453 band->pitch, mc_type);
465 void ff_ivi_process_empty_tile(AVCodecContext *avctx, IVIBandDesc *band,
466 IVITile *tile, int32_t mv_scale)
468 int x, y, need_mc, mbn, blk, num_blocks, mv_x, mv_y, mc_type;
469 int offs, mb_offset, row_offset;
470 IVIMbInfo *mb, *ref_mb;
473 void (*mc_no_delta_func)(int16_t *buf, const int16_t *ref_buf, uint32_t pitch,
476 offs = tile->ypos * band->pitch + tile->xpos;
478 ref_mb = tile->ref_mbs;
479 row_offset = band->mb_size * band->pitch;
480 need_mc = 0; /* reset the mc tracking flag */
482 for (y = tile->ypos; y < (tile->ypos + tile->height); y += band->mb_size) {
485 for (x = tile->xpos; x < (tile->xpos + tile->width); x += band->mb_size) {
488 mb->buf_offs = mb_offset;
490 mb->type = 1; /* set the macroblocks type = INTER */
491 mb->cbp = 0; /* all blocks are empty */
493 if (!band->qdelta_present && !band->plane && !band->band_num) {
494 mb->q_delta = band->glob_quant;
499 if (band->inherit_qdelta && ref_mb)
500 mb->q_delta = ref_mb->q_delta;
502 if (band->inherit_mv) {
503 /* motion vector inheritance */
505 mb->mv_x = ivi_scale_mv(ref_mb->mv_x, mv_scale);
506 mb->mv_y = ivi_scale_mv(ref_mb->mv_y, mv_scale);
508 mb->mv_x = ref_mb->mv_x;
509 mb->mv_y = ref_mb->mv_y;
511 need_mc |= mb->mv_x || mb->mv_y; /* tracking non-zero motion vectors */
517 mb_offset += band->mb_size;
522 if (band->inherit_mv && need_mc) { /* apply motion compensation if there is at least one non-zero motion vector */
523 num_blocks = (band->mb_size != band->blk_size) ? 4 : 1; /* number of blocks per mb */
524 mc_no_delta_func = (band->blk_size == 8) ? ff_ivi_mc_8x8_no_delta
525 : ff_ivi_mc_4x4_no_delta;
527 for (mbn = 0, mb = tile->mbs; mbn < tile->num_MBs; mb++, mbn++) {
530 if (!band->is_halfpel) {
531 mc_type = 0; /* we have only fullpel vectors */
533 mc_type = ((mv_y & 1) << 1) | (mv_x & 1);
535 mv_y >>= 1; /* convert halfpel vectors into fullpel ones */
538 for (blk = 0; blk < num_blocks; blk++) {
539 /* adjust block position in the buffer according with its number */
540 offs = mb->buf_offs + band->blk_size * ((blk & 1) + !!(blk & 2) * band->pitch);
541 mc_no_delta_func(band->buf + offs,
542 band->ref_buf + offs + mv_y * band->pitch + mv_x,
543 band->pitch, mc_type);
547 /* copy data from the reference tile into the current one */
548 src = band->ref_buf + tile->ypos * band->pitch + tile->xpos;
549 dst = band->buf + tile->ypos * band->pitch + tile->xpos;
550 for (y = 0; y < tile->height; y++) {
551 memcpy(dst, src, tile->width*sizeof(band->buf[0]));
560 uint16_t ivi_calc_band_checksum (IVIBandDesc *band)
563 int16_t *src, checksum;
568 for (y = 0; y < band->height; src += band->pitch, y++)
569 for (x = 0; x < band->width; x++)
575 int ivi_check_band (IVIBandDesc *band, const uint8_t *ref, int pitch)
584 for (y = 0; y < band->height; src += band->pitch, y++) {
585 for (x = 0; x < band->width; x++) {
586 t1 = av_clip(src[x] + 128, 0, 255);
589 av_log(NULL, AV_LOG_ERROR, "Data mismatch: row %d, column %d\n",
590 y / band->blk_size, x / band->blk_size);
601 void ff_ivi_output_plane(IVIPlaneDesc *plane, uint8_t *dst, int dst_pitch)
604 const int16_t *src = plane->bands[0].buf;
605 uint32_t pitch = plane->bands[0].pitch;
607 for (y = 0; y < plane->height; y++) {
608 for (x = 0; x < plane->width; x++)
609 dst[x] = av_clip_uint8(src[x] + 128);
617 * These are 2x8 predefined Huffman codebooks for coding macroblock/block
618 * signals. They are specified using "huffman descriptors" in order to
619 * avoid huge static tables. The decoding tables will be generated at
620 * startup from these descriptors.
622 const IVIHuffDesc ff_ivi_mb_huff_desc[8] = {
623 {8, {0, 4, 5, 4, 4, 4, 6, 6}},
624 {12, {0, 2, 2, 3, 3, 3, 3, 5, 3, 2, 2, 2}},
625 {12, {0, 2, 3, 4, 3, 3, 3, 3, 4, 3, 2, 2}},
626 {12, {0, 3, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2}},
627 {13, {0, 4, 4, 3, 3, 3, 3, 2, 3, 3, 2, 1, 1}},
628 {9, {0, 4, 4, 4, 4, 3, 3, 3, 2}},
629 {10, {0, 4, 4, 4, 4, 3, 3, 2, 2, 2}},
630 {12, {0, 4, 4, 4, 3, 3, 2, 3, 2, 2, 2, 2}}
633 const IVIHuffDesc ff_ivi_blk_huff_desc[8] = {
634 {10, {1, 2, 3, 4, 4, 7, 5, 5, 4, 1}},
635 {11, {2, 3, 4, 4, 4, 7, 5, 4, 3, 3, 2}},
636 {12, {2, 4, 5, 5, 5, 5, 6, 4, 4, 3, 1, 1}},
637 {13, {3, 3, 4, 4, 5, 6, 6, 4, 4, 3, 2, 1, 1}},
638 {11, {3, 4, 4, 5, 5, 5, 6, 5, 4, 2, 2}},
639 {13, {3, 4, 5, 5, 5, 5, 6, 4, 3, 3, 2, 1, 1}},
640 {13, {3, 4, 5, 5, 5, 6, 5, 4, 3, 3, 2, 1, 1}},
641 {9, {3, 4, 4, 5, 5, 5, 6, 5, 5}}
646 * Run-value (RLE) tables.
648 const RVMapDesc ff_ivi_rvmap_tabs[9] = {
653 {1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 3, 3,
654 1, 1, 2, 2, 1, 1, 4, 4, 1, 1, 1, 1, 2, 2, 5, 5,
655 1, 1, 3, 3, 1, 1, 6, 6, 1, 2, 1, 2, 7, 7, 1, 1,
656 8, 8, 1, 1, 4, 2, 1, 4, 2, 1, 3, 3, 1, 1, 1, 9,
657 9, 1, 2, 1, 2, 1, 5, 5, 1, 1, 10, 10, 1, 1, 3, 3,
658 2, 2, 1, 1, 11, 11, 6, 4, 4, 1, 6, 1, 2, 1, 2, 12,
659 8, 1, 12, 7, 8, 7, 1, 16, 1, 16, 1, 3, 3, 13, 1, 13,
660 2, 2, 1, 15, 1, 5, 14, 15, 1, 5, 14, 1, 17, 8, 17, 8,
661 1, 4, 4, 2, 2, 1, 25, 25, 24, 24, 1, 3, 1, 3, 1, 8,
662 6, 7, 6, 1, 18, 8, 18, 1, 7, 23, 2, 2, 23, 1, 1, 21,
663 22, 9, 9, 22, 19, 1, 21, 5, 19, 5, 1, 33, 20, 33, 20, 8,
664 4, 4, 1, 32, 2, 2, 8, 3, 32, 26, 3, 1, 7, 7, 26, 6,
665 1, 6, 1, 1, 16, 1, 10, 1, 10, 2, 16, 29, 28, 2, 29, 28,
666 1, 27, 5, 8, 5, 27, 1, 8, 3, 7, 3, 31, 41, 31, 1, 41,
667 6, 1, 6, 7, 4, 4, 1, 1, 2, 1, 2, 11, 34, 30, 11, 1,
668 30, 15, 15, 34, 36, 40, 36, 40, 35, 35, 37, 37, 39, 39, 38, 38},
671 { 1, -1, 0, 2, -2, 0, 3, -3, 1, -1, 4, -4, 5, -5, 1, -1,
672 6, -6, 2, -2, 7, -7, 1, -1, 8, -8, 9, -9, 3, -3, 1, -1,
673 10, -10, 2, -2, 11, -11, 1, -1, 12, 4, -12, -4, 1, -1, 13, -13,
674 1, -1, 14, -14, 2, 5, 15, -2, -5, -15, -3, 3, 16, -16, 17, 1,
675 -1, -17, 6, 18, -6, -18, 2, -2, 19, -19, 1, -1, 20, -20, 4, -4,
676 7, -7, 21, -21, 1, -1, 2, 3, -3, 22, -2, -22, 8, 23, -8, 1,
677 2, -23, -1, 2, -2, -2, 24, 1, -24, -1, 25, 5, -5, 1, -25, -1,
678 9, -9, 26, 1, -26, 3, 1, -1, 27, -3, -1, -27, 1, 3, -1, -3,
679 28, -4, 4, 10, -10, -28, 1, -1, 1, -1, 29, 6, -29, -6, 30, -4,
680 3, 3, -3, -30, 1, 4, -1, 31, -3, 1, 11, -11, -1, -31, 32, -1,
681 -1, 2, -2, 1, 1, -32, 1, 4, -1, -4, 33, -1, 1, 1, -1, 5,
682 5, -5, -33, -1, -12, 12, -5, -7, 1, 1, 7, 34, 4, -4, -1, 4,
683 -34, -4, 35, 36, -2, -35, -2, -36, 2, 13, 2, -1, 1, -13, 1, -1,
684 37, 1, -5, 6, 5, -1, 38, -6, -8, 5, 8, -1, 1, 1, -37, -1,
685 5, 39, -5, -5, 6, -6, -38, -39, -14, 40, 14, 2, 1, 1, -2, -40,
686 -1, -2, 2, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1}
692 {0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 8, 6, 8, 7,
693 7, 9, 9, 10, 10, 11, 11, 1, 12, 1, 12, 13, 13, 16, 14, 16,
694 14, 15, 15, 17, 17, 18, 0, 18, 19, 20, 21, 19, 22, 21, 20, 22,
695 25, 24, 2, 25, 24, 23, 23, 2, 26, 28, 26, 28, 29, 27, 29, 27,
696 33, 33, 1, 32, 1, 3, 32, 30, 36, 3, 36, 30, 31, 31, 35, 34,
697 37, 41, 34, 35, 37, 4, 41, 4, 49, 8, 8, 49, 40, 38, 5, 38,
698 40, 39, 5, 39, 42, 43, 42, 7, 57, 6, 43, 44, 6, 50, 7, 44,
699 57, 48, 50, 48, 45, 45, 46, 47, 51, 46, 47, 58, 1, 51, 58, 1,
700 52, 59, 53, 9, 52, 55, 55, 59, 53, 56, 54, 56, 54, 9, 64, 64,
701 60, 63, 60, 63, 61, 62, 61, 62, 2, 10, 2, 10, 11, 1, 11, 13,
702 12, 1, 12, 13, 16, 16, 8, 8, 14, 3, 3, 15, 14, 15, 4, 4,
703 1, 17, 17, 5, 1, 7, 7, 5, 6, 1, 2, 2, 6, 22, 1, 25,
704 21, 22, 8, 24, 1, 21, 25, 24, 8, 18, 18, 23, 9, 20, 23, 33,
705 29, 33, 20, 1, 19, 1, 29, 36, 9, 36, 19, 41, 28, 57, 32, 3,
706 28, 3, 1, 27, 49, 49, 1, 32, 26, 26, 2, 4, 4, 7, 57, 41,
707 2, 7, 10, 5, 37, 16, 10, 27, 8, 8, 13, 16, 37, 13, 1, 5},
710 {0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1,
711 -1, 1, -1, 1, -1, 1, -1, 2, 1, -2, -1, 1, -1, 1, 1, -1,
712 -1, 1, -1, 1, -1, 1, 0, -1, 1, 1, 1, -1, 1, -1, -1, -1,
713 1, 1, 2, -1, -1, 1, -1, -2, 1, 1, -1, -1, 1, 1, -1, -1,
714 1, -1, 3, 1, -3, 2, -1, 1, 1, -2, -1, -1, -1, 1, 1, 1,
715 1, 1, -1, -1, -1, 2, -1, -2, 1, 2, -2, -1, 1, 1, 2, -1,
716 -1, 1, -2, -1, 1, 1, -1, 2, 1, 2, -1, 1, -2, -1, -2, -1,
717 -1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 4, -1, -1, -4,
718 1, 1, 1, 2, -1, -1, 1, -1, -1, 1, -1, -1, 1, -2, 1, -1,
719 1, 1, -1, -1, 1, 1, -1, -1, 3, 2, -3, -2, 2, 5, -2, 2,
720 2, -5, -2, -2, -2, 2, -3, 3, 2, 3, -3, 2, -2, -2, 3, -3,
721 6, 2, -2, 3, -6, 3, -3, -3, 3, 7, -4, 4, -3, 2, -7, 2,
722 2, -2, -4, 2, 8, -2, -2, -2, 4, 2, -2, 2, 3, 2, -2, -2,
723 2, 2, -2, -8, -2, 9, -2, 2, -3, -2, 2, -2, 2, 2, 2, 4,
724 -2, -4, 10, 2, 2, -2, -9, -2, 2, -2, 5, 4, -4, 4, -2, 2,
725 -5, -4, -3, 4, 2, -3, 3, -2, -5, 5, 3, 3, -2, -3, -10, -4}
731 {1, 1, 0, 2, 2, 1, 1, 3, 3, 4, 4, 0, 1, 1, 5, 5,
732 2, 2, 6, 6, 7, 7, 1, 8, 1, 8, 3, 3, 9, 9, 1, 2,
733 2, 1, 4, 10, 4, 10, 11, 11, 1, 5, 12, 12, 1, 5, 13, 13,
734 3, 3, 6, 6, 2, 2, 14, 14, 16, 16, 15, 7, 15, 8, 8, 7,
735 1, 1, 17, 17, 4, 4, 1, 1, 18, 18, 2, 2, 5, 5, 25, 3,
736 9, 3, 25, 9, 19, 24, 19, 24, 1, 21, 20, 1, 21, 22, 20, 22,
737 23, 23, 8, 6, 33, 6, 8, 33, 7, 7, 26, 26, 1, 32, 1, 32,
738 28, 4, 28, 10, 29, 27, 27, 10, 41, 4, 29, 2, 2, 41, 36, 31,
739 49, 31, 34, 30, 34, 36, 30, 35, 1, 49, 11, 5, 35, 11, 1, 3,
740 3, 5, 37, 37, 8, 40, 8, 40, 12, 12, 42, 42, 1, 38, 16, 57,
741 1, 6, 16, 39, 38, 6, 7, 7, 13, 13, 39, 43, 2, 43, 57, 2,
742 50, 9, 44, 9, 50, 4, 15, 48, 44, 4, 1, 15, 48, 14, 14, 1,
743 45, 45, 8, 3, 5, 8, 51, 47, 3, 46, 46, 47, 5, 51, 1, 17,
744 17, 58, 1, 58, 2, 52, 52, 2, 53, 7, 59, 6, 6, 56, 53, 55,
745 7, 55, 1, 54, 59, 56, 54, 10, 1, 10, 4, 60, 1, 60, 8, 4,
746 8, 64, 64, 61, 1, 63, 3, 63, 62, 61, 5, 11, 5, 3, 11, 62},
749 { 1, -1, 0, 1, -1, 2, -2, 1, -1, 1, -1, 0, 3, -3, 1, -1,
750 2, -2, 1, -1, 1, -1, 4, 1, -4, -1, 2, -2, 1, -1, 5, 3,
751 -3, -5, 2, 1, -2, -1, 1, -1, 6, 2, 1, -1, -6, -2, 1, -1,
752 3, -3, 2, -2, 4, -4, 1, -1, 1, -1, 1, 2, -1, 2, -2, -2,
753 7, -7, 1, -1, 3, -3, 8, -8, 1, -1, 5, -5, 3, -3, 1, 4,
754 2, -4, -1, -2, 1, 1, -1, -1, 9, 1, 1, -9, -1, 1, -1, -1,
755 1, -1, 3, -3, 1, 3, -3, -1, 3, -3, 1, -1, 10, 1, -10, -1,
756 1, 4, -1, 2, 1, -1, 1, -2, 1, -4, -1, 6, -6, -1, 1, 1,
757 1, -1, 1, 1, -1, -1, -1, 1, 11, -1, -2, 4, -1, 2, -11, 5,
758 -5, -4, -1, 1, 4, 1, -4, -1, -2, 2, 1, -1, 12, 1, -2, 1,
759 -12, 4, 2, 1, -1, -4, 4, -4, 2, -2, -1, 1, 7, -1, -1, -7,
760 -1, -3, 1, 3, 1, 5, 2, 1, -1, -5, 13, -2, -1, 2, -2, -13,
761 1, -1, 5, 6, 5, -5, 1, 1, -6, 1, -1, -1, -5, -1, 14, 2,
762 -2, 1, -14, -1, 8, 1, -1, -8, 1, 5, 1, 5, -5, 1, -1, 1,
763 -5, -1, 15, 1, -1, -1, -1, 3, -15, -3, 6, 1, 16, -1, 6, -6,
764 -6, 1, -1, 1, -16, 1, 7, -1, 1, -1, -6, -3, 6, -7, 3, -1}
770 {0, 1, 1, 2, 2, 3, 3, 4, 4, 1, 1, 5, 5, 6, 6, 7,
771 7, 8, 8, 9, 9, 2, 2, 10, 10, 1, 1, 11, 11, 12, 12, 3,
772 3, 13, 13, 0, 14, 14, 16, 15, 16, 15, 4, 4, 17, 1, 17, 1,
773 5, 5, 18, 18, 2, 2, 6, 6, 8, 19, 7, 8, 7, 19, 20, 20,
774 21, 21, 22, 24, 22, 24, 23, 23, 1, 1, 25, 25, 3, 3, 26, 26,
775 9, 9, 27, 27, 28, 28, 33, 29, 4, 33, 29, 1, 4, 1, 32, 32,
776 2, 2, 31, 10, 30, 10, 30, 31, 34, 34, 5, 5, 36, 36, 35, 41,
777 35, 11, 41, 11, 37, 1, 8, 8, 37, 6, 1, 6, 40, 7, 7, 40,
778 12, 38, 12, 39, 39, 38, 49, 13, 49, 13, 3, 42, 3, 42, 16, 16,
779 43, 43, 14, 14, 1, 1, 44, 15, 44, 15, 2, 2, 57, 48, 50, 48,
780 57, 50, 4, 45, 45, 4, 46, 47, 47, 46, 1, 51, 1, 17, 17, 51,
781 8, 9, 9, 5, 58, 8, 58, 5, 52, 52, 55, 56, 53, 56, 55, 59,
782 59, 53, 54, 1, 6, 54, 7, 7, 6, 1, 2, 3, 2, 3, 64, 60,
783 60, 10, 10, 64, 61, 62, 61, 63, 1, 63, 62, 1, 18, 24, 18, 4,
784 25, 4, 8, 21, 21, 1, 24, 22, 25, 22, 8, 11, 19, 11, 23, 1,
785 20, 23, 19, 20, 5, 12, 5, 1, 16, 2, 12, 13, 2, 13, 1, 16},
788 { 0, 1, -1, 1, -1, 1, -1, 1, -1, 2, -2, 1, -1, 1, -1, 1,
789 -1, 1, -1, 1, -1, 2, -2, 1, -1, 3, -3, 1, -1, 1, -1, 2,
790 -2, 1, -1, 0, 1, -1, 1, 1, -1, -1, 2, -2, 1, 4, -1, -4,
791 2, -2, 1, -1, -3, 3, 2, -2, 2, 1, 2, -2, -2, -1, 1, -1,
792 1, -1, 1, 1, -1, -1, 1, -1, 5, -5, 1, -1, 3, -3, 1, -1,
793 2, -2, 1, -1, 1, -1, 1, 1, 3, -1, -1, 6, -3, -6, -1, 1,
794 4, -4, 1, 2, 1, -2, -1, -1, 1, -1, 3, -3, 1, -1, 1, 1,
795 -1, 2, -1, -2, 1, 7, -3, 3, -1, 3, -7, -3, 1, -3, 3, -1,
796 2, 1, -2, 1, -1, -1, 1, 2, -1, -2, -4, -1, 4, 1, 2, -2,
797 1, -1, -2, 2, 8, -8, -1, 2, 1, -2, -5, 5, 1, -1, -1, 1,
798 -1, 1, 4, -1, 1, -4, -1, -1, 1, 1, 9, 1, -9, 2, -2, -1,
799 -4, 3, -3, -4, -1, 4, 1, 4, 1, -1, 1, -1, 1, 1, -1, 1,
800 -1, -1, -1, 10, 4, 1, 4, -4, -4, -10, 6, 5, -6, -5, 1, -1,
801 1, 3, -3, -1, 1, -1, -1, -1, 11, 1, 1, -11, -2, -2, 2, 5,
802 -2, -5, -5, 2, -2, 12, 2, -2, 2, 2, 5, -3, -2, 3, -2, -12,
803 -2, 2, 2, 2, -5, 3, 5, 13, -3, 7, -3, -3, -7, 3, -13, 3}
809 {0, 1, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 4, 4, 1, 5,
810 2, 1, 5, 2, 1, 1, 6, 6, 1, 1, 1, 1, 1, 7, 3, 1,
811 2, 3, 0, 1, 2, 7, 1, 1, 1, 8, 1, 1, 8, 1, 1, 1,
812 9, 1, 9, 1, 2, 1, 1, 2, 1, 1, 10, 4, 1, 10, 1, 4,
813 1, 1, 1, 1, 1, 3, 1, 1, 1, 3, 2, 1, 5, 1, 1, 1,
814 2, 5, 1, 11, 1, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
815 2, 1, 6, 1, 6, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 12,
816 3, 1, 12, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1,
817 4, 1, 1, 1, 2, 1, 1, 4, 1, 1, 1, 1, 1, 1, 2, 1,
818 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 5,
819 1, 1, 1, 1, 1, 7, 1, 7, 1, 1, 2, 3, 1, 1, 1, 1,
820 5, 1, 1, 1, 1, 1, 1, 2, 13, 1, 1, 1, 1, 1, 1, 1,
821 1, 1, 1, 1, 1, 1, 1, 1, 13, 2, 1, 1, 4, 1, 1, 1,
822 3, 1, 6, 1, 1, 1, 14, 1, 1, 1, 1, 1, 14, 6, 1, 1,
823 1, 1, 15, 2, 4, 1, 2, 3, 15, 1, 1, 1, 8, 1, 1, 8,
824 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1},
827 { 0, 1, -1, 2, 1, -1, -2, 1, -1, 3, -3, 4, 1, -1, -4, 1,
828 2, 5, -1, -2, -5, 6, 1, -1, -6, 7, -7, 8, -8, 1, 2, 9,
829 3, -2, 0, -9, -3, -1, 10, -10, 11, 1, -11, 12, -1, -12, 13, -13,
830 1, 14, -1, -14, 4, 15, -15, -4, 16, -16, 1, 2, 17, -1, -17, -2,
831 18, -18, 19, -19, 20, 3, -20, 21, -21, -3, 5, 22, 2, -22, -23, 23,
832 -5, -2, 24, 1, -24, -1, 25, -25, 26, -26, -27, 27, 28, 29, -28, -29,
833 6, 30, 2, -31, -2, -30, 31, -6, -32, 32, 33, -33, 34, -35, -34, 1,
834 4, -36, -1, 35, 37, 36, 7, -37, 38, -4, -38, 39, 41, 40, -40, -39,
835 3, 42, -43, -41, -7, -42, 43, -3, 44, -44, 45, -45, 46, 47, 8, -47,
836 -48, -46, 50, -50, 48, 49, 51, -49, 52, -52, 5, -51, -8, -53, 53, 3,
837 -56, 56, 55, 54, -54, 2, 60, -2, -55, 58, 9, -5, 59, 57, -57, -63,
838 -3, -58, -60, -61, 61, -59, -62, -9, 1, 64, 62, 69, -64, 63, 65, -67,
839 -68, 66, -65, 68, -66, -69, 67, -70, -1, 10, 71, -71, 4, 73, 72, 70,
840 6, -76, -3, 74, -78, -74, 1, 78, 80, -72, -75, 76, -1, 3, -73, 79,
841 75, 77, 1, 11, -4, -79, -10, -6, -1, -77, -83, -80, 2, 81, -84, -2,
842 83, -81, 82, -82, 84, -87, -86, 85, -11, -85, 86, -89, 87, -88, 88, 89}
848 {1, 1, 0, 2, 1, 2, 1, 3, 3, 1, 1, 4, 4, 2, 2, 1,
849 1, 5, 5, 6, 1, 6, 1, 7, 7, 3, 3, 2, 8, 2, 8, 1,
850 1, 0, 9, 9, 1, 1, 10, 4, 10, 4, 11, 11, 2, 1, 2, 1,
851 12, 12, 3, 3, 1, 1, 13, 5, 5, 13, 14, 1, 1, 14, 2, 2,
852 6, 6, 15, 1, 1, 15, 16, 4, 7, 16, 4, 7, 1, 1, 3, 3,
853 8, 8, 2, 2, 1, 1, 17, 17, 1, 1, 18, 18, 5, 5, 2, 2,
854 1, 1, 9, 19, 9, 19, 20, 3, 3, 20, 1, 10, 21, 1, 10, 4,
855 4, 21, 22, 6, 6, 22, 1, 1, 23, 24, 2, 2, 23, 24, 11, 1,
856 1, 11, 7, 25, 7, 1, 1, 25, 8, 8, 3, 26, 3, 1, 12, 2,
857 2, 26, 1, 12, 5, 5, 27, 4, 1, 4, 1, 27, 28, 1, 28, 13,
858 1, 13, 2, 29, 2, 1, 32, 6, 1, 30, 14, 29, 14, 6, 3, 31,
859 3, 1, 30, 1, 32, 31, 33, 9, 33, 1, 1, 7, 9, 7, 2, 2,
860 1, 1, 4, 36, 34, 4, 5, 10, 10, 5, 34, 1, 1, 35, 8, 8,
861 36, 3, 35, 1, 15, 3, 2, 1, 16, 15, 16, 2, 37, 1, 37, 1,
862 1, 1, 6, 6, 38, 1, 38, 11, 1, 39, 39, 40, 11, 2, 41, 4,
863 40, 1, 2, 4, 1, 1, 1, 41, 3, 1, 3, 1, 5, 7, 5, 7},
866 { 1, -1, 0, 1, 2, -1, -2, 1, -1, 3, -3, 1, -1, 2, -2, 4,
867 -4, 1, -1, 1, 5, -1, -5, 1, -1, 2, -2, 3, 1, -3, -1, 6,
868 -6, 0, 1, -1, 7, -7, 1, 2, -1, -2, 1, -1, 4, 8, -4, -8,
869 1, -1, 3, -3, 9, -9, 1, 2, -2, -1, 1, 10, -10, -1, 5, -5,
870 2, -2, 1, 11, -11, -1, 1, 3, 2, -1, -3, -2, 12, -12, 4, -4,
871 2, -2, -6, 6, 13, -13, 1, -1, 14, -14, 1, -1, 3, -3, 7, -7,
872 15, -15, 2, 1, -2, -1, 1, 5, -5, -1, -16, 2, 1, 16, -2, 4,
873 -4, -1, 1, 3, -3, -1, 17, -17, 1, 1, -8, 8, -1, -1, 2, 18,
874 -18, -2, 3, 1, -3, 19, -19, -1, 3, -3, 6, 1, -6, 20, 2, 9,
875 -9, -1, -20, -2, 4, -4, 1, -5, 21, 5, -21, -1, 1, -22, -1, 2,
876 22, -2, 10, 1, -10, 23, 1, 4, -23, 1, 2, -1, -2, -4, -7, 1,
877 7, -24, -1, 24, -1, -1, 1, 3, -1, -25, 25, 4, -3, -4, 11, -11,
878 26, -26, 6, 1, 1, -6, -5, -3, 3, 5, -1, -27, 27, 1, 4, -4,
879 -1, -8, -1, 28, 2, 8, -12, -28, -2, -2, 2, 12, -1, 29, 1, -29,
880 30, -30, 5, -5, 1, -31, -1, 3, 31, -1, 1, 1, -3, -13, 1, -7,
881 -1, -32, 13, 7, 32, 33, -33, -1, -9, -34, 9, 34, -6, 5, 6, -5}
887 {1, 1, 0, 1, 1, 2, 2, 1, 1, 3, 3, 1, 1, 0, 2, 2,
888 4, 1, 4, 1, 1, 1, 5, 5, 1, 1, 6, 6, 2, 2, 1, 1,
889 3, 3, 7, 7, 1, 1, 8, 8, 1, 1, 2, 2, 1, 9, 1, 9,
890 4, 4, 10, 1, 1, 10, 1, 1, 11, 11, 3, 3, 1, 2, 1, 2,
891 1, 1, 12, 12, 5, 5, 1, 1, 13, 1, 1, 13, 2, 2, 1, 1,
892 6, 6, 1, 1, 4, 14, 4, 14, 3, 1, 3, 1, 1, 1, 15, 7,
893 15, 2, 2, 7, 1, 1, 1, 8, 1, 8, 16, 16, 1, 1, 1, 1,
894 2, 1, 1, 2, 1, 1, 3, 5, 5, 3, 4, 1, 1, 4, 1, 1,
895 17, 17, 9, 1, 1, 9, 2, 2, 1, 1, 10, 10, 1, 6, 1, 1,
896 6, 18, 1, 1, 18, 1, 1, 1, 2, 2, 3, 1, 3, 1, 1, 1,
897 4, 1, 19, 1, 19, 7, 1, 1, 20, 1, 4, 20, 1, 7, 11, 2,
898 1, 11, 21, 2, 8, 5, 1, 8, 1, 5, 21, 1, 1, 1, 22, 1,
899 1, 22, 1, 1, 3, 3, 1, 23, 2, 12, 24, 1, 1, 2, 1, 1,
900 12, 23, 1, 1, 24, 1, 1, 1, 4, 1, 1, 1, 2, 1, 6, 6,
901 4, 2, 1, 1, 1, 1, 1, 1, 1, 14, 13, 3, 1, 25, 9, 25,
902 14, 1, 9, 3, 13, 1, 1, 1, 1, 1, 10, 1, 1, 2, 10, 2},
905 {-20, -1, 0, 2, -2, 1, -1, 3, -3, 1, -1, 4, -4, 0, 2, -2,
906 1, 5, -1, -5, 6, -6, 1, -1, 7, -7, 1, -1, 3, -3, 8, -8,
907 2, -2, 1, -1, 9, -9, 1, -1, 10, -10, 4, -4, 11, 1, -11, -1,
908 2, -2, 1, 12, -12, -1, 13, -13, 1, -1, 3, -3, 14, 5, -14, -5,
909 -15, 15, -1, 1, 2, -2, 16, -16, 1, 17, -17, -1, 6, -6, 18, -18,
910 2, -2, -19, 19, -3, 1, 3, -1, 4, 20, -4, 1, -21, 21, 1, 2,
911 -1, -7, 7, -2, 22, -22, 23, 2, -23, -2, 1, -1, -24, 24, -25, 25,
912 -8, -26, 26, 8, -27, 27, 5, 3, -3, -5, -4, 28, -28, 4, 29, -29,
913 1, -1, -2, -30, 30, 2, 9, -9, -31, 31, 2, -2, -32, 3, 32, -33,
914 -3, 1, 33, -34, -1, 34, -35, 35, -10, 10, -6, 36, 6, -36, 37, -37,
915 -5, 38, 1, -38, -1, 3, 39, -39, -1, 40, 5, 1, -40, -3, 2, -11,
916 -41, -2, 1, 11, -3, -4, 41, 3, 42, 4, -1, -43, -42, 43, 1, -44,
917 45, -1, 44, -45, -7, 7, -46, 1, -12, 2, 1, -47, 46, 12, 47, 48,
918 -2, -1, -48, 49, -1, -50, -49, 50, -6, -51, 51, 52, -13, 53, -4, 4,
919 6, 13, -53, -52, -54, 55, 54, -55, -56, -2, 2, -8, 56, 1, -3, -1,
920 2, 58, 3, 8, -2, 57, -58, -60, -59, -57, -3, 60, 59, -14, 3, 14}
926 {1, 1, 0, 2, 2, 1, 1, 3, 3, 4, 4, 5, 5, 1, 1, 6,
927 6, 2, 2, 7, 7, 8, 8, 1, 1, 3, 3, 9, 9, 10, 10, 1,
928 1, 2, 2, 4, 4, 11, 0, 11, 12, 12, 13, 13, 1, 1, 5, 5,
929 14, 14, 15, 16, 15, 16, 3, 3, 1, 6, 1, 6, 2, 2, 7, 7,
930 8, 8, 17, 17, 1, 1, 4, 4, 18, 18, 2, 2, 1, 19, 1, 20,
931 19, 20, 21, 21, 3, 3, 22, 22, 5, 5, 24, 1, 1, 23, 9, 23,
932 24, 9, 2, 2, 10, 1, 1, 10, 6, 6, 25, 4, 4, 25, 7, 7,
933 26, 8, 1, 8, 3, 1, 26, 3, 11, 11, 27, 27, 2, 28, 1, 2,
934 28, 1, 12, 12, 5, 5, 29, 13, 13, 29, 32, 1, 1, 33, 31, 30,
935 32, 4, 30, 33, 4, 31, 3, 14, 1, 1, 3, 34, 34, 2, 2, 14,
936 6, 6, 35, 36, 35, 36, 1, 15, 1, 16, 16, 15, 7, 9, 7, 9,
937 37, 8, 8, 37, 1, 1, 39, 2, 38, 39, 2, 40, 5, 38, 40, 5,
938 3, 3, 4, 4, 10, 10, 1, 1, 1, 1, 41, 2, 41, 2, 6, 6,
939 1, 1, 11, 42, 11, 43, 3, 42, 3, 17, 4, 43, 1, 17, 7, 1,
940 8, 44, 4, 7, 44, 5, 8, 2, 5, 1, 2, 48, 45, 1, 12, 45,
941 12, 48, 13, 13, 1, 9, 9, 46, 1, 46, 47, 47, 49, 18, 18, 49},
944 { 1, -1, 0, 1, -1, 2, -2, 1, -1, 1, -1, 1, -1, 3, -3, 1,
945 -1, -2, 2, 1, -1, 1, -1, 4, -4, -2, 2, 1, -1, 1, -1, 5,
946 -5, -3, 3, 2, -2, 1, 0, -1, 1, -1, 1, -1, 6, -6, 2, -2,
947 1, -1, 1, 1, -1, -1, -3, 3, 7, 2, -7, -2, -4, 4, 2, -2,
948 2, -2, 1, -1, 8, -8, 3, -3, 1, -1, -5, 5, 9, 1, -9, 1,
949 -1, -1, 1, -1, -4, 4, 1, -1, 3, -3, 1, -10, 10, 1, 2, -1,
950 -1, -2, 6, -6, 2, 11, -11, -2, 3, -3, 1, -4, 4, -1, 3, -3,
951 1, 3, 12, -3, -5, -12, -1, 5, 2, -2, 1, -1, -7, 1, 13, 7,
952 -1, -13, 2, -2, 4, -4, 1, 2, -2, -1, 1, 14, -14, 1, 1, 1,
953 -1, -5, -1, -1, 5, -1, -6, 2, -15, 15, 6, 1, -1, -8, 8, -2,
954 -4, 4, 1, 1, -1, -1, 16, 2, -16, -2, 2, -2, 4, 3, -4, -3,
955 -1, -4, 4, 1, -17, 17, -1, -9, 1, 1, 9, 1, -5, -1, -1, 5,
956 -7, 7, 6, -6, 3, -3, 18, -18, 19, -19, 1, -10, -1, 10, -5, 5,
957 20, -20, -3, 1, 3, 1, 8, -1, -8, 2, 7, -1, -21, -2, 5, 21,
958 5, -1, -7, -5, 1, -6, -5, -11, 6, 22, 11, 1, 1, -22, -3, -1,
959 3, -1, 3, -3, -23, 4, -4, 1, 23, -1, 1, -1, 1, -2, 2, -1}
965 {1, 1, 1, 1, 0, 2, 2, 1, 1, 3, 3, 0, 1, 1, 2, 2,
966 4, 4, 1, 1, 5, 5, 1, 1, 2, 2, 3, 3, 6, 6, 1, 1,
967 7, 7, 8, 1, 8, 2, 2, 1, 4, 4, 1, 3, 1, 3, 9, 9,
968 2, 2, 1, 5, 1, 5, 10, 10, 1, 1, 11, 11, 3, 6, 3, 4,
969 4, 6, 2, 2, 1, 12, 1, 12, 7, 13, 7, 13, 1, 1, 8, 8,
970 2, 2, 14, 14, 16, 15, 16, 5, 5, 1, 3, 15, 1, 3, 4, 4,
971 1, 1, 17, 17, 2, 2, 6, 6, 1, 18, 1, 18, 22, 21, 22, 21,
972 25, 24, 25, 19, 9, 20, 9, 23, 19, 24, 20, 3, 23, 7, 3, 1,
973 1, 7, 28, 26, 29, 5, 28, 26, 5, 8, 29, 4, 8, 27, 2, 2,
974 4, 27, 1, 1, 10, 36, 10, 33, 33, 36, 30, 1, 32, 32, 1, 30,
975 6, 31, 31, 35, 3, 6, 11, 11, 3, 2, 35, 2, 34, 1, 34, 1,
976 37, 37, 12, 7, 12, 5, 41, 5, 4, 7, 1, 8, 13, 4, 1, 41,
977 13, 38, 8, 38, 9, 1, 40, 40, 9, 1, 39, 2, 2, 49, 39, 42,
978 3, 3, 14, 16, 49, 14, 16, 42, 43, 43, 6, 6, 15, 1, 1, 15,
979 44, 44, 1, 1, 50, 48, 4, 5, 4, 7, 5, 2, 10, 10, 48, 7,
980 50, 45, 2, 1, 45, 8, 8, 1, 46, 46, 3, 47, 47, 3, 1, 1},
983 { 1, -1, 2, -2, 0, 1, -1, 3, -3, 1, -1, 0, 4, -4, 2, -2,
984 1, -1, 5, -5, 1, -1, 6, -6, 3, -3, 2, -2, 1, -1, 7, -7,
985 1, -1, 1, 8, -1, 4, -4, -8, 2, -2, 9, 3, -9, -3, 1, -1,
986 5, -5, 10, 2, -10, -2, 1, -1, 11, -11, 1, -1, -4, 2, 4, 3,
987 -3, -2, 6, -6, 12, 1, -12, -1, 2, 1, -2, -1, 13, -13, 2, -2,
988 7, -7, 1, -1, 1, 1, -1, 3, -3, 14, 5, -1, -14, -5, 4, -4,
989 15, -15, 1, -1, 8, -8, -3, 3, 16, 1, -16, -1, 1, 1, -1, -1,
990 1, 1, -1, 1, 2, 1, -2, 1, -1, -1, -1, 6, -1, 3, -6, 17,
991 -17, -3, 1, 1, 1, 4, -1, -1, -4, 3, -1, 5, -3, -1, -9, 9,
992 -5, 1, 18, -18, 2, 1, -2, 1, -1, -1, 1, 19, -1, 1, -19, -1,
993 4, 1, -1, 1, 7, -4, -2, 2, -7, 10, -1, -10, 1, 20, -1, -20,
994 1, -1, 2, 4, -2, 5, 1, -5, 6, -4, 21, 4, 2, -6, -21, -1,
995 -2, 1, -4, -1, -3, 22, -1, 1, 3, -22, -1, 11, -11, 1, 1, 1,
996 8, -8, 2, 2, -1, -2, -2, -1, 1, -1, -5, 5, 2, 23, -23, -2,
997 1, -1, 24, -24, -1, -1, 7, 6, -7, 5, -6, 12, -3, 3, 1, -5,
998 1, 1, -12, 25, -1, -5, 5, -25, -1, 1, 9, 1, -1, -9, 26, -26}