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10 commits

Author SHA1 Message Date
Gregory
97859113df fix Makefile 2017-03-26 00:16:50 +02:00
Gregory
677715abf3 new tests 2017-03-18 22:07:00 +02:00
Gregory
c70bfaced3 new size for reading file 2017-03-18 19:24:58 +02:00
Gregory
f1d9548972 some cleanup 2017-03-16 01:38:30 +02:00
Gregory
f7e00e930f wrongs symbols check 2017-03-16 01:33:17 +02:00
Gregory
7f902e30dc some minor changes in functions signature 2017-03-16 00:48:56 +02:00
Gregory
59c581a9ac parse input 2017-03-16 00:12:00 +02:00
Gregory
66634b039e translade code from macos to linux 2017-03-15 11:23:05 +02:00
Gregory
6569da5710 map movement done 2017-03-14 00:09:03 +02:00
Gregory
6f1c4b59b0 fix gradient x99999 2017-03-13 10:58:33 +02:00
35 changed files with 5908 additions and 405 deletions

View file

@ -1,7 +1,7 @@
cmake_minimum_required(VERSION 3.6)
project(fdf)
set(CMAKE_C_FLAGS "${CMAKE_C_FLAGS} -Wall -Werror -Wextra ") #-O3
set(CMAKE_C_FLAGS "${CMAKE_C_FLAGS} -Wall -Werror -Wextra")
include_directories(inc libft/includes minilibx) # headers
link_directories(libft minilibx) # libraries
@ -13,7 +13,17 @@ set(SOURCE_FILES
src/pnt_init.c
src/help_func.c
src/render.c
src/mat4.c src/color.c src/FDF_init.c src/hooks.c src/image_routine.c) # sources
src/mat4.c
src/color.c
src/FDF_init.c
src/hooks.c
src/image_routine.c
src/map_routine.c
src/mat4_init_funcs.c
src/mat4_operations.c
src/matrix_routine.c
src/map_movement.c
src/parse_input.c) # sources
add_executable(fdf ${SOURCE_FILES}) # compilation

View file

@ -45,20 +45,32 @@ OBJ = $(addprefix $(OBJ_DIR), $(OBJ_FILES))
# header files
FDF_HEADER = fdf.h
FDF_INC = ./inc/
INC = -I $(LIBFT_DIR)includes/ \
-I $(MLX_DIR) \
-I ./inc
-I $(FDF_INC)
# compiler flags
# for valgrind debugging uncomment $(DEBUG) flag.
# command for generate output:
# valgrind --tool=callgrind --dump-instr=yes --simulate-cache=yes --collect-jumps=yes program arguments
LIBFT_FLAGS = -lft -L $(LIBFT_DIR)
MLX_FLAGS = -lmlx -lXext -lX11 -L $(MLX_DIR)
OTHER_FLAGS = -lm
CC_FLAGS = -Werror -Wextra -Wall -O3
CC_FLAGS = -Werror -Wextra -Wall
DEBUG = -g
FLAGS := $(CC_FLAGS) $(LIBFT_FLAGS) $(MLX_FLAGS) $(OTHER_FLAGS) \
OPT = -O3
COMP_FLAGS := $(CC_FLAGS) \
$(OPT) \
$(DEBUG)
LINK_FLAGS := $(LIBFT_FLAGS) \
$(MLX_FLAGS) \
$(OTHER_FLAGS)
# compiler
CC = gcc
@ -67,14 +79,14 @@ CC = gcc
all: $(NAME)
$(NAME): $(OBJ) $(LIBFT_DIR)$(LIBFT) $(MLX_DIR)$(MLX)
$(NAME): $(LIBFT_DIR)$(LIBFT) $(MLX_DIR)$(MLX) $(OBJ)
@echo "$(CYAN)Linking fdf binary...$(NORMAL)"
@$(CC) $(OBJ) $(FLAGS) -o $(NAME)
@$(CC) $(OBJ) $(LINK_FLAGS) -o $(NAME)
@echo "$(GREEN)Done!$(NORMAL)"
$(OBJ_DIR)%.o : $(SRC_DIR)%.c
$(OBJ_DIR)%.o: $(SRC_DIR)%.c $(FDF_INC)$(FDF_HEADER)
@echo "$(CYAN)Compiling object files: $(BLUE)$@$(NORMAL)"
@$(CC) $(CC_FLAGS) $(DEBUG) $(INC) -c $< -o $@
@$(CC) $(COMP_FLAGS) $(INC) -c $< -o $@
$(LIBFT_DIR)$(LIBFT):
@echo "$(CYAN)Compiling libft library...$(NORMAL)"

112
inc/fdf.h
View file

@ -3,7 +3,7 @@
// FILE: inc/fdf.h
// ROLE: to rule them all
// CREATED: 2017-02-13 20:07:04
// MODIFIED: 2017-02-18 01:11:28
// MODIFIED: 2017-03-18 02:33:34
#ifndef FDF_H
@ -13,14 +13,25 @@
#include "mlx.h"
#include <math.h>
#include <fcntl.h>
#include <stdio.h>
# define HEIGHT 700
# define WIDTH 700
# define BPP 32
# define ENDIAN 1
# define COLOR1 2604805
# define COLOR2 12518661
# define HEIGHT 700
# define WIDTH 700
# define COLOR1 0
# define COLOR2 16777215
# define INIT_X 30
# define INIT_Y -20
# define INIT_Z -45
# define INIT_X_SCALE 0.9
# define INIT_Y_SCALE 0.9
# define INIT_Z_SCALE 0.1
typedef struct s_swap
{
int swap_x;
int swap_z;
int swap_coord;
} t_swap;
typedef struct s_color
{
@ -56,16 +67,6 @@ typedef struct s_mw
void *win;
} t_mw;
typedef struct s_map
{
t_vec **arr_vec;
t_pnt **arr_pnt;
int x_max;
int y_max;
int z_max;
int z_min;
} t_map;
typedef struct s_mat4
{
double mx[4][4];
@ -74,12 +75,33 @@ typedef struct s_mat4
typedef struct s_trnsf
{
t_mat4 *tr;
t_mat4 *sc;
t_mat4 *vp;
t_mat4 *pr;
t_mat4 *xr;
t_mat4 *yr;
t_mat4 *zr;
t_mat4 *vp_pr_tr;
t_mat4 *fin;
} t_trnsf;
typedef struct s_map
{
t_trnsf *trnsf;
t_vec **arr_vec;
t_pnt **arr_pnt;
t_color *low;
t_color *high;
int x_max;
int y_max;
int z_max;
int z_min;
int z_rot;
int x_rot;
int y_rot;
float scale[3];
} t_map;
typedef struct s_FDF
{
t_map *map;
@ -93,50 +115,66 @@ typedef struct s_FDF
int endian;
} t_FDF;
typedef struct s_swap
{
int swap_x;
int swap_z;
int swap_coord;
} t_swap;
void line(t_pnt p1, t_pnt p2, t_FDF *FDF);
void parse_input(int ac, char **av, t_FDF **FDF);
t_map *map_init(char *path);
void pnt_init(t_map *map);
void pnt_init(t_map *map);
t_mat4 *mat4_init(void);
t_mat4 *mat4_mult(t_mat4 *m1, t_mat4 *m2);
t_trnsf *trnsf_mat_init();
t_mat4 *viewport_mat_init(int x, int y);
t_mat4 *orth_mat_init(float r, float t, float f);
void initial_trnsf_mats(t_FDF *FDF);
void mat4_mult_chain(t_trnsf *tf);
void viewport_projection_translate(t_trnsf *tf);
void mat4_translate(t_mat4 *m, double x, double y, double z);
void mat4_scale(t_mat4 *m, double x, double y, double z);
void mat4_z_rot(t_mat4 *m, double angle);
void mat4_x_rot(t_mat4 *m, double angle);
void mat4_y_rot(t_mat4 *m, double angle);
void vec_mat_mult(t_mat4 *m, t_vec *v, t_pnt *result);
void map_transform(t_map *map);
void transform(t_mat4 *mat, t_map *map);
t_mat4 *mat4_mult(t_mat4 *m1, t_mat4 *m2);
void render(t_FDF *FDF);
void transform(t_mat4 *mat, t_map *map);
void recalculate_trnsf_matrs(t_map *map);
void center(t_map *map);
int tab_length(char **tab);
void free_tab(char **tab);
void quit(t_FDF *FDF);
void swap_init(t_swap *s);
void print_help(void);
t_color color_init(int red, int green, int blue);
t_color color_lerp(t_color c1, t_color c2, float step);
t_color color_lerp(t_color c1, t_color c2, double step);
t_color int_to_color(int c);
int color_to_int(t_color c);
t_color choose_color(t_line *line, t_swap *s, t_FDF *FDF);
t_color choose_color(t_line *line, t_swap *s);
void first_color(t_pnt *pnt, float z, t_map *map);
t_mw *mlx_and_win_ptr_init(int x, int y);
t_FDF *FDF_init(char *path);
t_FDF *FDF_init(char *path, t_color *low, t_color *high);
int key_hook(int keycode, void *m);
void line(t_pnt p1, t_pnt p2, t_FDF *FDF);
void render(t_FDF *FDF);
void put_pixel_to_image(t_line *line, t_swap *s, t_FDF *FDF);
void left_rot(t_FDF *FDF);
void right_rot(t_FDF *FDF);
void forw_rot(t_FDF *FDF);
void back_rot(t_FDF *FDF);
void clock_rot(t_FDF *FDF);
void aclock_rot(t_FDF *FDF);
void scale_up_z(t_FDF *FDF);
void scale_down_z(t_FDF *FDF);
void zoom_in(t_FDF *FDF);
void zoom_out(t_FDF *FDF);
void reset(t_FDF *FDF);
#endif

View file

@ -17,7 +17,7 @@
# include <stdlib.h>
# include <unistd.h>
# define BUFF_SIZE 100
# define BUFF_SIZE 640000
typedef struct s_fd
{

View file

@ -4,7 +4,6 @@ t_mw *mlx_and_win_ptr_init(int x, int y)
{
t_mw *mw;
mw = NULL;
if ((mw = malloc(sizeof(t_mw))))
{
mw->mlx = mlx_init();
@ -13,22 +12,20 @@ t_mw *mlx_and_win_ptr_init(int x, int y)
return (mw);
}
t_FDF *FDF_init(char *path)
t_FDF *FDF_init(char *path, t_color *low, t_color *high)
{
t_FDF *FDF;
FDF = NULL;
if ((FDF = malloc(sizeof(t_FDF))))
{
FDF->map = map_init(path);
FDF->map->low = low;
FDF->map->high = high;
pnt_init(FDF->map);
FDF->w_height = HEIGHT;
FDF->w_width = WIDTH;
FDF->bpp = BPP;
FDF->line_size = WIDTH;
FDF->endian = ENDIAN;
FDF->mw = mlx_and_win_ptr_init(WIDTH, HEIGHT);
FDF->image = mlx_new_image(FDF->mw->mlx, FDF->w_height, FDF->w_height);
FDF->image = mlx_new_image(FDF->mw->mlx, WIDTH, HEIGHT);
FDF->image_data = mlx_get_data_addr(
FDF->image,
&FDF->bpp,

View file

@ -10,12 +10,19 @@ t_color color_init(int red, int green, int blue)
return (c);
}
t_color color_lerp(t_color c1, t_color c2, float step)
t_color color_lerp(t_color c1, t_color c2, double step)
{
t_color new;
new.red = (float)(c2.red - c1.red) * step + c1.red;
new.green = (float)(c2.green - c1.green) * step + c1.green;
new.blue = (float)(c2.blue - c1.blue) * step + c1.blue;
double red;
double green;
double blue;
red = (double)(c2.red - c1.red) * step + c1.red;
green = (double)(c2.green - c1.green) * step + c1.green;
blue = (double)(c2.blue - c1.blue) * step + c1.blue;
new.red = (int)red;
new.green = (int)green;
new.blue = (int)blue;
return (new);
}
@ -31,17 +38,15 @@ t_color int_to_color(int c)
new.blue = c & 0x0000FF;
new.green = (c >> 8) & 0x0000FF;
new.red = (c >> 16 ) & 0x0000FF;
c = 0;
return (new);
}
t_color choose_color(t_line *line, t_swap *s, t_FDF *FDF)
t_color choose_color(t_line *line, t_swap *s)
{
t_color c;
float z1;
float z2;
FDF = FDF;
z1 = line->p1.z;
z2 = line->p2.z;
if (s->swap_z)
@ -59,12 +64,17 @@ t_color choose_color(t_line *line, t_swap *s, t_FDF *FDF)
void first_color(t_pnt *pnt, float z, t_map *map)
{
int low_color;
int high_color;
low_color = (map->low == NULL) ? COLOR1 : color_to_int(*map->low);
high_color = (map->high == NULL) ? COLOR2 : color_to_int(*map->high);
if (z == 0)
pnt->color = int_to_color(COLOR1);
pnt->color = int_to_color(low_color);
if (z == map->z_max - map->z_min)
pnt->color = int_to_color(COLOR2);
pnt->color = int_to_color(high_color);
else
pnt->color = color_lerp(
int_to_color(COLOR1),
int_to_color(COLOR2), fabs(z / (map->z_max - map->z_min)));
int_to_color(low_color),
int_to_color(high_color), fabs(z / (map->z_max - map->z_min)));
}

View file

@ -19,6 +19,7 @@ void swap_init(t_swap *s)
s->swap_coord = 0;
s->swap_x = 1;
s->swap_z = 0;
}
void print_help(void)
@ -35,3 +36,17 @@ void print_help(void)
"\t\t\t\tPlease, put range in double quotes, for example:\n\n"
"\t\t\t\tfdf --heatmap \"125,255,6 - 250,41,1\" ~/maps/42.fdf\n\n");
}
int tab_length(char **tab)
{
int len;
len = 0;
if (tab)
while (*tab)
{
tab++;
len++;
}
return (len);
}

View file

@ -1,15 +1,30 @@
#include "fdf.h"
int key_hook(int keycode, void *m)
int key_hook(int keycode, void *FDF)
{
printf("%d\n", keycode);
if (keycode == 53 || keycode == 65307)
quit(m);
// if (keycode == 123)
// left(mlx);
// if (keycode == 126)
// up(mlx);
// if (keycode == 125)
// down(mlx);
if (keycode == 65307)
quit(FDF);
if (keycode == 113)
aclock_rot(FDF);
if (keycode == 97)
left_rot(FDF);
if (keycode == 100)
right_rot(FDF);
if (keycode == 115)
back_rot(FDF);
if (keycode == 119)
forw_rot(FDF);
if (keycode == 101)
clock_rot(FDF);
if (keycode == 122)
scale_up_z(FDF);
if (keycode == 120)
scale_down_z(FDF);
if (keycode == 65451)
zoom_in(FDF);
if (keycode == 65453)
zoom_out(FDF);
if (keycode == 114)
reset(FDF);
return (0);
}

View file

@ -12,15 +12,9 @@ void put_pixel_to_image(t_line *line, t_swap *s, t_FDF *FDF)
y = line->p1.x;
x = line->p1.y;
}
if (x < 0)
x = 0;
if (x > FDF->w_width)
x = FDF->w_width;
if (y < 0)
y = 0;
if (y > FDF->w_height)
y = FDF->w_height;
*((int *)FDF->image_data + x + y * FDF->w_width) = color_to_int(
choose_color(line, s, FDF));
if (x < 0 || y < 0 || x >= FDF->w_width || y >= FDF->w_height)
return ;
*(int *)((FDF->image_data + x * FDF->bpp / 8 + y * FDF->line_size)) =
color_to_int(choose_color(line, s));
}

View file

@ -83,7 +83,7 @@ void line(t_pnt p1, t_pnt p2, t_FDF *FDF)
if (p1.z > p2.z)
{
swap_z(&p1, &p2);
swap.swap_z = 1;
swap.swap_z = -1;
}
line.p1 = p1;
line.p2 = p2;

View file

@ -1,24 +1,18 @@
// C/C++ File
// AUTHOR: foton
// FILE: main.c
// ROLE: to rule them all
// CREATED: 2017-01-30 21:51:28
// MODIFIED: 2017-03-09 20:51:10
#include "fdf.h"
int main(int argc, char **argv)
{
t_FDF *FDF;
if (argc < 2)
{
print_help();
return (0);
}
FDF = FDF_init(argv[1]);
FDF = NULL;
parse_input(argc, argv, &FDF);
center(FDF->map);
initial_trnsf_mats(FDF);
viewport_projection_translate(FDF->map->trnsf);
mat4_mult_chain(FDF->map->trnsf);
transform(FDF->map->trnsf->fin, FDF->map);
render(FDF);
mlx_key_hook(FDF->mw->win, key_hook, FDF);
mlx_hook(FDF->mw->win, 2, 5, key_hook, FDF);
mlx_loop(FDF->mw->mlx);
return (0);
}

View file

@ -1,37 +1,29 @@
#include "fdf.h"
void fill_row(t_list **list, int i, char *row)
int wrong_symbols(char **line)
{
int j;
char **row_numbers;
t_vec vec3;
char *tmp;
j = 0;
vec3.y = i;
row_numbers = ft_strsplit(row, ' ');
while (row_numbers[j])
tmp = *line;
while ((*tmp == '-' || ft_isdigit(*tmp)) && *tmp)
tmp++;
if ((ft_strstr(tmp, ",0x") == tmp) && (tmp += 3))
{
vec3.x = j;
vec3.z = ft_atoi(row_numbers[j]);
ft_lstadd_back(list, &vec3, sizeof(t_vec));
j++;
if (!*tmp)
return (1);
else
while (ft_isdigit(*tmp) || (*tmp >= 'A' && *tmp <= 'F'))
tmp++;
}
free_tab(row_numbers);
if (*tmp)
return (1);
return (0);
}
t_list *to_lst_map(char **tab_map)
void wrong_map(void)
{
int i;
t_list *lst_map;
lst_map = NULL;
i = 0;
while (tab_map[i])
{
fill_row(&lst_map, i, tab_map[i]);
i++;
}
return (lst_map);
ft_putstr("Wrong map!\n");
quit(0);
}
char *to_str_map(char *path)
@ -44,28 +36,27 @@ char *to_str_map(char *path)
return (0);
}
int tab_length(char **tab)
{
int len;
len = 0;
while (*tab)
{
tab++;
if (*tab)
len++;
}
return (len);
}
int map_width(char **tab)
{
int width;
int width_tmp;
char **line_tab;
line_tab = ft_strsplit(*tab, ' ');
width = tab_length(line_tab);
free_tab(line_tab);
width_tmp = width;
while (*tab)
{
if ((line_tab = ft_strsplit(*tab, ' ')))
{
if (wrong_symbols(line_tab))
wrong_map();
if ((width = tab_length(line_tab)) != width_tmp)
wrong_map();
}
free_tab(line_tab);
tab++;
}
return (width);
}
@ -73,9 +64,9 @@ int map_width(char **tab)
void min_max_z(t_map *map, int i, int j)
{
if (map->arr_vec[i][j].z > map->z_max)
map->z_max = map->arr_vec[i][j].z;
if (map->arr_vec[i][j].z < map->z_max)
map->z_min = map->arr_vec[i][j].z;
map->z_max = (int)map->arr_vec[i][j].z;
if (map->arr_vec[i][j].z < map->z_min)
map->z_min = (int)map->arr_vec[i][j].z;
}
void to_vec_arr(char **tab, t_map *map)
@ -86,14 +77,14 @@ void to_vec_arr(char **tab, t_map *map)
map->y_max = tab_length(tab);
map->x_max = map_width(tab);
map->arr_vec = malloc(sizeof(t_vec *) * (map->y_max + 1));
map->arr_vec = malloc(sizeof(t_vec *) * (map->y_max));
i = 0;
while (i <= map->y_max)
while (i < map->y_max)
{
j = 0;
line = ft_strsplit(tab[i], ' ');
map->arr_vec[i] = malloc(sizeof(t_vec) * (map->x_max + 1));
while (j <= map->x_max)
map->arr_vec[i] = malloc(sizeof(t_vec) * (map->x_max));
while (j < map->x_max)
{
map->arr_vec[i][j].z = ft_atoi(line[j]);
map->arr_vec[i][j].x = j;
@ -115,9 +106,17 @@ t_map *map_init(char *path)
map = malloc(sizeof(t_map));
map->z_min = 0;
map->x_max = 0;
map->x_rot = 0;
map->y_rot = 0;
map->z_rot = 0;
map->scale[0] = 1;
map->scale[1] = 1;
map->scale[2] = 1;
map->low = NULL;
map->high = NULL;
if (!(str_map = to_str_map(path)))
{
ft_putstr("Wrong path to a map! For help help put \"fdf --help\"");
ft_putstr("Wrong path to a map! For help help put \"fdf --help\"\n");
quit(0);
}
tab_map = ft_strsplit(str_map, '\n');

89
src/map_movement.c Normal file
View file

@ -0,0 +1,89 @@
#include "fdf.h"
void move(t_FDF *FDF)
{
recalculate_trnsf_matrs(FDF->map);
mat4_mult_chain(FDF->map->trnsf);
transform(FDF->map->trnsf->fin, FDF->map);
mlx_destroy_image(FDF->mw->mlx, FDF->image);
FDF->image = mlx_new_image(FDF->mw->mlx, WIDTH, HEIGHT);
FDF->image_data = mlx_get_data_addr(
FDF->image,
&FDF->bpp,
&FDF->line_size,
&FDF->endian);
render(FDF);
}
void left_rot(t_FDF *FDF)
{
FDF->map->y_rot -= 1;
move(FDF);
}
void right_rot(t_FDF *FDF)
{
FDF->map->y_rot += 1;
move(FDF);
}
void forw_rot(t_FDF *FDF)
{
FDF->map->x_rot += 1;
move(FDF);
}
void back_rot(t_FDF *FDF)
{
FDF->map->x_rot -= 1;
move(FDF);
}
void clock_rot(t_FDF *FDF)
{
FDF->map->z_rot -= 1;
move(FDF);
}
void aclock_rot(t_FDF *FDF)
{
FDF->map->z_rot += 1;
move(FDF);
}
void scale_up_z(t_FDF *FDF)
{
FDF->map->scale[2] += 1.0f / 100 * 20;
move(FDF);
}
void scale_down_z(t_FDF *FDF)
{
FDF->map->scale[2] -= 1.0f / 100 * 20;
move(FDF);
}
void zoom_in(t_FDF *FDF)
{
FDF->map->scale[0] += 1.0f / 100 * 20;
FDF->map->scale[1] += 1.0f / 100 * 20;
move(FDF);
}
void zoom_out(t_FDF *FDF)
{
FDF->map->scale[0] -= 1.0f / 100 * 20;
FDF->map->scale[1] -= 1.0f / 100 * 20;
move(FDF);
}
void reset(t_FDF *FDF)
{
FDF->map->z_rot = 0;
FDF->map->y_rot = 0;
FDF->map->x_rot = 0;
FDF->map->scale[0] = 1;
FDF->map->scale[1] = 1;
FDF->map->scale[2] = 1;
move(FDF);
}

45
src/map_routine.c Normal file
View file

@ -0,0 +1,45 @@
#include <fdf.h>
void transform(t_mat4 *mat, t_map *map)
{
int i;
int j;
i = 0;
while (i < map->y_max)
{
j = 0;
while (j < map->x_max)
{
vec_mat_mult(mat, &map->arr_vec[i][j], &map->arr_pnt[i][j]);
j++;
}
i++;
}
}
void center(t_map *map)
{
double d_x;
double d_y;
double d_z;
int i;
int j;
d_x = map->x_max / 2.0f;
d_y = map->y_max / 2.0f;
d_z = map->z_max / 2.0f;
i = 0;
while (i < map->y_max)
{
j = 0;
while (j < map->x_max)
{
map->arr_vec[i][j].z -= d_z;
map->arr_vec[i][j].x -= d_x;
map->arr_vec[i][j].y -= d_y;
j++;
}
i++;
}
}

View file

@ -1,59 +1,5 @@
#include "fdf.h"
t_mat4 *mat4_init(void)
{
t_mat4 *mat;
mat = NULL;
if ((mat = (t_mat4 *)malloc(sizeof(t_mat4))))
{
mat->mx[0][0] = 1;
mat->mx[0][1] = 0;
mat->mx[0][2] = 0;
mat->mx[0][3] = 0;
mat->mx[1][0] = 0;
mat->mx[1][1] = 1;
mat->mx[1][2] = 0;
mat->mx[1][3] = 0;
mat->mx[2][0] = 0;
mat->mx[2][1] = 0;
mat->mx[2][2] = 1;
mat->mx[2][3] = 0;
mat->mx[3][0] = 0;
mat->mx[3][1] = 0;
mat->mx[3][2] = 0;
mat->mx[3][3] = 1;
}
return (mat);
}
t_mat4 *mat4_mult(t_mat4 *m1, t_mat4 *m2)
{
t_mat4 *m3;
int i;
int j;
i = 0;
m3 = NULL;
if ((m3 = (t_mat4 *)malloc(sizeof(t_mat4))))
{
while(i < 4)
{
j = 0;
while (j < 4)
{
m3->mx[i][j] = m1->mx[i][0] * m2->mx[0][j] +
m1->mx[i][1] * m2->mx[1][j] +
m1->mx[i][2] * m2->mx[2][j] +
m1->mx[i][3] * m2->mx[3][j];
j++;
}
i++;
}
}
return (m3);
}
void mat4_translate(t_mat4 *m, double x, double y, double z)
{
m->mx[0][0] = 1;
@ -156,29 +102,3 @@ void mat4_y_rot(t_mat4 *m, double angle)
m->mx[3][2] = 0;
m->mx[3][3] = 1;
}
void vec_mat_mult(t_mat4 *m, t_vec *v, t_pnt *result)
{
// double vec4;
double x;
double y;
// double z;
x = v->x * m->mx[0][0] + v->y * m->mx[1][0] + v->z * m->mx[2][0] +
m->mx[3][0];
y = v->x * m->mx[0][1] + v->y * m->mx[1][1] + v->z * m->mx[2][1] +
m->mx[3][1];
// z = v->x * m->mx[0][2] + v->y * m->mx[1][2] + v->z * m->mx[2][2] +
// m->mx[3][2];
// vec4 = v->x * m->mx[0][3] + v->y * m->mx[1][3] + v->z * m->mx[2][3] +
// m->mx[3][3];
// if (vec4 != 1 && vec4 != 0)
// {
// x = x / vec4;
// y = y / vec4;
// z = z / vec4;
// }
result->x = x;
result->y = y;
// result->z = v->z;
}

98
src/mat4_init_funcs.c Normal file
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@ -0,0 +1,98 @@
#include "fdf.h"
t_mat4 *mat4_init(void)
{
t_mat4 *mat;
if ((mat = (t_mat4 *)malloc(sizeof(t_mat4))))
{
mat->mx[0][0] = 1;
mat->mx[0][1] = 0;
mat->mx[0][2] = 0;
mat->mx[0][3] = 0;
mat->mx[1][0] = 0;
mat->mx[1][1] = 1;
mat->mx[1][2] = 0;
mat->mx[1][3] = 0;
mat->mx[2][0] = 0;
mat->mx[2][1] = 0;
mat->mx[2][2] = 1;
mat->mx[2][3] = 0;
mat->mx[3][0] = 0;
mat->mx[3][1] = 0;
mat->mx[3][2] = 0;
mat->mx[3][3] = 1;
}
return (mat);
}
t_trnsf *trnsf_mat_init()
{
t_trnsf *trnsf;
if ((trnsf = malloc(sizeof(t_trnsf))))
{
trnsf->tr = mat4_init();
trnsf->sc = mat4_init();
trnsf->vp = mat4_init();
trnsf->pr = mat4_init();
trnsf->xr = mat4_init();
trnsf->yr = mat4_init();
trnsf->zr = mat4_init();
trnsf->vp_pr_tr = mat4_init();
trnsf->fin = mat4_init();
}
return (trnsf);
}
t_mat4 *viewport_mat_init(int x, int y)
{
t_mat4 *m;
if ((m = malloc(sizeof(t_mat4))))
{
m->mx[0][0] = (double)x / 2.0f;
m->mx[0][1] = 0;
m->mx[0][2] = 0;
m->mx[0][3] = 0;
m->mx[1][0] = 0;
m->mx[1][1] = (double)y / 2.0f;
m->mx[1][2] = 0;
m->mx[1][3] = 0;
m->mx[2][0] = 0;
m->mx[2][1] = 0;
m->mx[2][2] = 1;
m->mx[2][3] = 0;
m->mx[3][0] = ((double)x - 1) / 2.0f;
m->mx[3][1] = ((double)y - 1) / 2.0f;
m->mx[3][2] = 0;
m->mx[3][3] = 1;
}
return (m);
}
t_mat4 *orth_mat_init(float r, float t, float f)
{
t_mat4 *orth;
if ((orth = malloc(sizeof(t_mat4))))
{
orth->mx[0][0] = 2.0f / r;
orth->mx[0][1] = 0;
orth->mx[0][2] = 0;
orth->mx[0][3] = 0;
orth->mx[1][0] = 0;
orth->mx[1][1] = 2.0f / t;
orth->mx[1][2] = 0;
orth->mx[1][3] = 0;
orth->mx[2][0] = 0;
orth->mx[2][1] = 0;
orth->mx[2][2] = 2.0f / f;
orth->mx[2][3] = 0;
orth->mx[3][0] = -1;
orth->mx[3][1] = -1;
orth->mx[3][2] = 1;
orth->mx[3][3] = 1;
}
return (orth);
}

41
src/mat4_operations.c Normal file
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@ -0,0 +1,41 @@
#include "fdf.h"
void vec_mat_mult(t_mat4 *m, t_vec *v, t_pnt *result)
{
double x;
double y;
x = v->x * m->mx[0][0] + v->y * m->mx[1][0] + v->z * m->mx[2][0] +
m->mx[3][0];
y = v->x * m->mx[0][1] + v->y * m->mx[1][1] + v->z * m->mx[2][1] +
m->mx[3][1];
result->x = (int)x;
result->y = (int)y;
}
t_mat4 *mat4_mult(t_mat4 *m1, t_mat4 *m2)
{
t_mat4 *m3;
int i;
int j;
i = 0;
if ((m3 = (t_mat4 *)malloc(sizeof(t_mat4))))
{
while(i < 4)
{
j = 0;
while (j < 4)
{
m3->mx[i][j] = m1->mx[i][0] * m2->mx[0][j] +
m1->mx[i][1] * m2->mx[1][j] +
m1->mx[i][2] * m2->mx[2][j] +
m1->mx[i][3] * m2->mx[3][j];
j++;
}
i++;
}
}
return (m3);
}

73
src/matrix_routine.c Normal file
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@ -0,0 +1,73 @@
#include "fdf.h"
void recalculate_trnsf_matrs(t_map *map)
{
// free(map->trnsf->xr);
// free(map->trnsf->zr);
// free(map->trnsf->yr);
// free(map->trnsf->sc);
mat4_x_rot(map->trnsf->xr, INIT_X + map->x_rot);
mat4_z_rot(map->trnsf->zr, INIT_Z + map->z_rot);
mat4_y_rot(map->trnsf->yr, INIT_Y + map->y_rot);
mat4_scale(map->trnsf->sc,
INIT_X_SCALE * map->scale[0],
INIT_Y_SCALE * map->scale[1],
INIT_Z_SCALE * map->scale[2]);
}
void initial_trnsf_mats(t_FDF *FDF)
{
t_trnsf *tf;
tf = trnsf_mat_init();
tf->vp = viewport_mat_init(FDF->w_width, FDF->w_height);
tf->pr = orth_mat_init(
((FDF->map->y_max > FDF->map->x_max) ?
FDF->map->y_max: FDF->map->x_max) + 2,
((FDF->map->y_max > FDF->map->x_max) ?
FDF->map->y_max: FDF->map->x_max) + 2,
FDF->map->z_max + 2);
mat4_translate(
tf->tr,
(float)((FDF->map->y_max > FDF->map->x_max) ?
FDF->map->y_max: FDF->map->x_max) / 2.0f,
(float)((FDF->map->y_max > FDF->map->x_max) ?
FDF->map->y_max: FDF->map->x_max) / 2.0f,
(float)FDF->map->z_max / 2.0f);
mat4_x_rot(tf->xr, INIT_X);
mat4_z_rot(tf->zr, INIT_Z);
mat4_y_rot(tf->yr, INIT_Y);
mat4_scale(tf->sc, INIT_X_SCALE, INIT_Y_SCALE, INIT_Z_SCALE);
FDF->map->trnsf = tf;
}
void viewport_projection_translate(t_trnsf *tf)
{
t_mat4 *tmp;
tmp = tf->vp_pr_tr;
tf->vp_pr_tr = mat4_mult(tf->vp, tf->pr);
free(tmp);
tmp = tf->vp_pr_tr;
tf->vp_pr_tr = mat4_mult(tf->tr, tf->vp_pr_tr);
free(tmp);
}
void mat4_mult_chain(t_trnsf *tf)
{
t_mat4 *tmp;
tmp = tf->fin;
tf->fin = mat4_mult(tf->zr, tf->vp_pr_tr);
free(tmp);
tmp = tf->fin;
tf->fin = mat4_mult(tf->xr, tf->fin);
free(tmp);
tmp = tf->fin;
tf->fin = mat4_mult(tf->yr, tf->fin);
free(tmp);
tmp = tf->fin;
tf->fin = mat4_mult(tf->sc, tf->fin);
free(tmp);
}

83
src/parse_input.c Normal file
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@ -0,0 +1,83 @@
#include "fdf.h"
static int tab_to_color(t_color **color, char **tab)
{
int red;
int green;
int blue;
red = ft_atoi(tab[0]);
green = ft_atoi(tab[1]);
blue = ft_atoi(tab[2]);
if (red > 255 || red < 0 ||
green > 255 || green < 0 ||
blue > 255 || blue < 0)
return (0);
(*color)->red = red;
(*color)->green = green;
(*color)->blue = blue;
return (1);
}
static void wrong_heatmap(t_color **low, t_color **high)
{
ft_putstr("wrong heatmap! Type \"fdf --help\" for heatmap example\n");
free(*low);
free(*high);
*low = NULL;
*high = NULL;
}
static void parse_heatmap(char *hm, t_color **low, t_color **high)
{
char **hm_tab;
char **low_tab;
char **high_tab;
*low = malloc(sizeof(t_color));
*high = malloc(sizeof(t_color));
hm_tab = ft_strsplit(hm, '-');
if ((tab_length(hm_tab) != 2))
{
wrong_heatmap(low, high);
return ;
}
low_tab = ft_strsplit(hm_tab[0], ',');
high_tab = ft_strsplit(hm_tab[1], ',');
if (tab_length(low_tab) != 3 || tab_length(high_tab) != 3)
{
wrong_heatmap(low, high);
return ;
}
if (!tab_to_color(low, low_tab) || !tab_to_color(high, high_tab))
{
wrong_heatmap(low, high);
return ;
}
}
void parse_input(int ac, char **av, t_FDF **FDF)
{
t_color *low;
t_color *high;
low = NULL;
high = NULL;
if ((ac < 2 || ac > 4) || (ac == 2 && ft_strstr(av[1], "--help")))
{
print_help();
quit(*FDF);
}
else if (ac == 2)
*FDF = FDF_init(av[1], low, high);
else if (ac == 4 && ft_strstr(av[1], "--heatmap"))
{
parse_heatmap(av[2], &low, &high);
*FDF = FDF_init(av[3], low, high);
}
else
{
print_help();
quit(*FDF);
}
}

View file

@ -6,13 +6,13 @@ void pnt_init(t_map *map)
int j;
float z;
map->arr_pnt = malloc(sizeof(t_pnt *) * (map->y_max + 1));
map->arr_pnt = malloc(sizeof(t_pnt *) * (map->y_max));
i = 0;
while (i <= map->y_max)
while (i < map->y_max)
{
map->arr_pnt[i] = malloc(sizeof(t_pnt) * (map->x_max + 1));
map->arr_pnt[i] = malloc(sizeof(t_pnt) * (map->x_max));
j = 0;
while (j <= map->x_max)
while (j < map->x_max)
{
z = map->arr_vec[i][j].z - map->z_min;
map->arr_pnt[i][j].z = z;

View file

@ -1,92 +1,6 @@
#include "fdf.h"
t_trnsf *transfor_mat_init()
{
t_trnsf *trnsf;
trnsf = NULL;
if ((trnsf = malloc(sizeof(t_trnsf))))
{
trnsf->tr = mat4_init();
trnsf->xr = mat4_init();
trnsf->yr = mat4_init();
trnsf->zr = mat4_init();
trnsf->fin = mat4_init();
}
return (trnsf);
}
void transform(t_mat4 *mat, t_map *map)
{
int i;
int j;
i = 0;
while (i <= map->y_max)
{
j = 0;
while (j <= map->x_max)
{
vec_mat_mult(mat, &map->arr_vec[i][j], &map->arr_pnt[i][j]);
j++;
}
i++;
}
}
t_mat4 *viewport_mat_init(int x, int y)
{
t_mat4 *m;
if ((m = malloc(sizeof(t_mat4))))
{
m->mx[0][0] = (double)x / 2.0f;
m->mx[0][1] = 0;
m->mx[0][2] = 0;
m->mx[0][3] = 0;
m->mx[1][0] = 0;
m->mx[1][1] = (double)y / 2.0f;
m->mx[1][2] = 0;
m->mx[1][3] = 0;
m->mx[2][0] = 0;
m->mx[2][1] = 0;
m->mx[2][2] = 1;
m->mx[2][3] = 0;
m->mx[3][0] = ((double)x - 1) / 2.0f;
m->mx[3][1] = ((double)y - 1) / 2.0f;
m->mx[3][2] = 0;
m->mx[3][3] = 1;
}
return (m);
}
t_mat4 *orth_mat_init(int l, int r, int b, int t, int n, int f)
{
t_mat4 *orth;
if ((orth = malloc(sizeof(t_mat4))))
{
orth->mx[0][0] = 2.0f / ((double)r - (double)l);
orth->mx[0][1] = 0;
orth->mx[0][2] = 0;
orth->mx[0][3] = 0;
orth->mx[1][0] = 0;
orth->mx[1][1] = 2.0f / ((double)t - (double)b);
orth->mx[1][2] = 0;
orth->mx[1][3] = 0;
orth->mx[2][0] = 0;
orth->mx[2][1] = 0;
orth->mx[2][2] = 2.0f / ((double)n - (double)f);
orth->mx[2][3] = 0;
orth->mx[3][0] = - (((double)r + (double)l) / ((double)r - (double)l));
orth->mx[3][1] = - (((double)t + (double)b) / ((double)t - (double)b));
orth->mx[3][2] = - (((double)n + (double)f) / ((double)n - (double)f));
orth->mx[3][3] = 1;
}
return (orth);
}
void draw(t_FDF *FDF)
void render(t_FDF *FDF)
{
int i;
int j;
@ -94,16 +8,16 @@ void draw(t_FDF *FDF)
map = FDF->map;
i = 0;
while (i <= map->y_max)
while (i < map->y_max)
{
j = 0;
while (j <= map->x_max)
while (j < map->x_max)
{
if (i == map->y_max && j < map->x_max)
if (i == map->y_max - 1 && j < map->x_max - 1)
line(map->arr_pnt[i][j], map->arr_pnt[i][j + 1], FDF);
else if (i < map->y_max && j == map->x_max)
else if (i < map->y_max - 1 && j == map->x_max - 1)
line(map->arr_pnt[i][j], map->arr_pnt[i + 1][j], FDF);
else if (i < map->y_max && j < map->x_max)
else if (i < map->y_max - 1 && j < map->x_max - 1)
{
line(map->arr_pnt[i][j], map->arr_pnt[i + 1][j], FDF);
line(map->arr_pnt[i][j], map->arr_pnt[i][j + 1], FDF);
@ -114,76 +28,3 @@ void draw(t_FDF *FDF)
}
mlx_put_image_to_window(FDF->mw->mlx, FDF->mw->win, FDF->image, 0, 0);
}
void center(t_map *map)
{
double d_x;
double d_y;
double d_z;
int i;
int j;
d_x = map->x_max / 2.0f;
d_y = map->y_max / 2.0f;
d_z = map->z_max / 2.0f;
i = 0;
while (i <= map->y_max)
{
j = 0;
while (j <= map->x_max)
{
map->arr_vec[i][j].z -= d_z;
map->arr_vec[i][j].x -= d_x;
map->arr_vec[i][j].y -= d_y;
j++;
}
i++;
}
}
void render(t_FDF *FDF)
{
t_mat4 *vp;
t_mat4 *orth;
t_mat4 *final;
t_mat4 *rot_z;
t_mat4 *rot_y;
t_mat4 *rot_x;
t_mat4 *translate;
t_mat4 *scale;
rot_x = mat4_init();
rot_y = mat4_init();
rot_z = mat4_init();
translate = mat4_init();
scale = mat4_init();
//final = mat4_init();
vp = viewport_mat_init(FDF->w_width, FDF->w_height);
orth = orth_mat_init(
0,
FDF->map->x_max + 2,
0,
FDF->map->x_max + 2,
0,
FDF->map->z_max + 2);
mat4_x_rot(rot_x, 30);
mat4_z_rot(rot_z, -45);
mat4_y_rot(rot_y, -20);
mat4_scale(scale, 0.9, 0.9, 0.4);
mat4_translate(
translate,
(((double)FDF->map->x_max) / 2.0f),
(((double)FDF->map->x_max) / 2.0f),
(((double)FDF->map->z_max) / 2.0f));
final = mat4_mult(vp, orth);
final = mat4_mult(translate, final);
final = mat4_mult(rot_z ,final);
final = mat4_mult(rot_x, final);
final = mat4_mult(rot_y ,final);
final = mat4_mult(scale, final);
center(FDF->map);
transform(final, FDF->map);
draw(FDF);
}

33
tests/42_vert.fdf Normal file
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@ -0,0 +1,33 @@
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 10 10 0 0 10 10 0 0 0 10 10 10 10 10 0 0 0
0 0 10 10 0 0 10 10 0 0 0 0 0 0 0 10 10 0 0
0 0 10 10 0 0 10 10 0 0 0 0 0 0 0 10 10 0 0
0 0 10 10 10 10 10 10 0 0 0 0 10 10 10 10 0 0 0
0 0 0 10 10 10 10 10 0 0 0 10 10 0 0 0 0 0 0
0 0 0 0 0 0 10 10 0 0 0 10 10 0 0 0 0 0 0
0 0 0 0 0 0 10 10 0 0 0 10 10 10 10 10 10 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 10 10 0 0 10 10 0 0 0 10 10 10 10 10 0 0 0
0 0 10 10 0 0 10 10 0 0 0 0 0 0 0 10 10 0 0
0 0 10 10 0 0 10 10 0 0 0 0 0 0 0 10 10 0 0
0 0 10 10 10 10 10 10 0 0 0 0 10 10 10 10 0 0 0
0 0 0 10 10 10 10 10 0 0 0 10 10 0 0 0 0 0 0
0 0 0 0 0 0 10 10 0 0 0 10 10 0 0 0 0 0 0
0 0 0 0 0 0 10 10 0 0 0 10 10 10 10 10 10 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 10 10 0 0 10 10 0 0 0 10 10 10 10 10 0 0 0
0 0 10 10 0 0 10 10 0 0 0 0 0 0 0 10 10 0 0
0 0 10 10 0 0 10 10 0 0 0 0 0 0 0 10 10 0 0
0 0 10 10 10 10 10 10 0 0 0 0 10 10 10 10 0 0 0
0 0 0 10 10 10 10 10 0 0 0 10 10 0 0 0 0 0 0
0 0 0 0 0 0 10 10 0 0 0 10 10 0 0 0 0 0 0
0 0 0 0 0 0 10 10 0 0 0 10 10 10 10 10 10 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

500
tests/and.fdf Normal file
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@ -0,0 +1,500 @@
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9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 10 9 9 9 9 10 9 9 10 9 9 9 9 9 9 9 9 9 10 9 9 9 10 9 9 9 9 9 9 10 10 9 10 10 10 10 9 9 6 11 10 10 9 9 10 10 8 9 9 9 9 9 9 8 9 10 9 9 9 10 9 10 10 9 10 9 9 9 9 10 10 9 9 10 10 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 10 10 9 10 9 9 9 9 9 8 9 9 9 9 9 9 9 10 10 9 10 10 9 9 10 10 10 10 10 10 10 9 9 8 12 10 9 9 10 10 9 8 9 9 9 9 9 8 8 10 9 9 9 9 10 9 9 10 9 9 10 9 9 9 10 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 8 9 9 9 10
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 8 10 8 10 8 10 9 9 9 9 10 10 9 10 10 9 9 9 10 10 10 10 8 9 10 8 10 10 10 9 10 10 10 8 8 9 9 9 9 9 9 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 10 9 9 10 9 9 9 9 9 10 9 10 10 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 10 10
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 10 9 9 9 9 9 9 10 8 10 9 9 9 9 10 10 10 10 10 9 10 10 10 10 10 9 7 8 10 6 11 10 9 8 10 9 9 8 10 9 9 9 9 8 10 6 10 9 9 9 9 10 9 9 10 9 9 9 9 9 10 9 9 9 10 9 9 10 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 10 9 9 10 9 10 9 10 9 9 9 9 9 9 8 10 9 9 9 9 10 10 10 10 10 10 10 10 10 9 10 9 9 11 10 7 11 10 9 8 10 9 9 9 10 9 9 8 9 8 8 7 10 8 10 9 10 9 9 9 9 9 9 10 9 10 10 9 9 9 10 9 10 9 9 9 9 9 9 9 9 9 10 9 10 9 9 9 9 9 9 9 9 9 9 9 8 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 10 9 9 10 9 9 10 9 10 9 10 9 10 9 9 10 9 8 10 9 9 9 10 10 10 10 10 10 10 10 9 10 10 10 7 10 10 8 9 10 9 9 9 10 9 8 9 9 9 10 8 9 9 6 8 10 9 10 9 9 9 9 10 9 9 10 9 9 10 10 10 9 10 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 10 9 9 9 10 9 10 9 9 10 9 9 9 9 9 8 10 9 8 10 9 9 9 10 10 10 10 10 9 10 10 9 10 10 8 7 11 9 7 8 10 9 8 10 10 9 8 9 9 9 9 9 8 8 8 8 9 10 9 9 9 9 10 9 9 9 9 9 10 9 10 9 9 10 9 9 10 9 9 9 9 9 9 9 10 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 10 9 10 10 10 10 9 9
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 10 9 9 9 9 10 9 10 9 9 9 9 9 10 9 9 9 10 9 9 9 9 9 10 9 8 10 9 9 9 9 10 10 10 10 9 10 10 9 10 10 10 10 10 9 8 10 10 9 7 10 10 8 8 10 9 9 9 9 8 9 6 9 10 10 9 9 9 10 9 9 10 9 9 9 10 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 10 9 9 9 10 10 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 10 10 9 10 9 9
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 10 9 10 10 9 9 10 9 10 10 10 9 9 10 9 10 9 9 8 9 9 9 10 9 9 9 9 9 9 10 9 9 10 10 10 10 10 10 9 10 10 9 10 10 9 10 9 9 9 8 9 8 8 11 9 9 9 9 8 9 9 9 9 9 6 10 11 10 9 9 9 9 9 9 9 9 9 9 10 9 9 9 10 9 10 9 9 9 9 9 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 9 9 8 9 9 9 9 9 9 9 9 9 9 10 10 9 10 10 9 9 9 9 9 9 10 9 9 9 9 9 9
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 9 10 10 10 9 10 10 9 10 9 8 8 10 9 9 9 9 9 10 9 9 10 10 9 9 10 10 10 10 10 9 9 10 10 9 10 10 9 10 9 9 8 8 9 8 10 10 8 9 9 8 9 9 9 9 9 9 7 9 11 9 9 9 9 9 9 9 9 10 9 9 10 9 9 9 10 9 10 10 9 9 9 9 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 9 7 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 10 9 9 9 9 9 10 9 9 9 9 9 9 9 9
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 10 10 9 9 9 9 10 9 9 9 9 9 9 9 10 9 10 9 9 9 9 10 9 7 10 9 9 9 9 10 9 9 9 9 10 9 9 9 10 10 10 10 10 9 9 10 10 9 10 9 9 10 8 9 7 8 9 10 10 10 8 9 8 8 9 9 9 8 9 8 7 10 11 9 9 9 9 9 9 9 9 9 10 10 9 9 10 9 9 10 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 9 9 9 9 10 9 8 10 9 9 9 9 9 9 9 9 9 9 10 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 10 9 10 9 9 9 9 9 9 10 9 9 9 9 10 9 10 7 7 9 9 9 10 10 9 9 9 9 10 10 9 7 11 9 9 9 9 10 9 8 9 9 10 9 9 10 9 10 10 10 10 9 10 10 10 9 10 9 9 10 8 10 7 10 9 10 10 9 9 9 8 8 10 9 9 9 9 9 7 10 10 9 9 9 9 10 9 9 9 9 9 10 9 9 10 10 9 10 9 9 9 9 10 10 9 9 9 10 9 10 9 9 10 9 9 10 9 9 9 9 7 4 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 8 7 5 6 6 7 5 4
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 10 9 9 9 9 9 9 9 9 9 10 10 9 10 9 7 10 11 9 10 10 10 9 9 9 9 10 10 9 8 11 9 9 9 9 10 9 8 11 9 10 9 9 10 9 10 10 10 10 9 10 10 9 10 10 9 9 9 9 9 5 8 9 10 9 8 9 8 8 9 8 9 9 9 8 9 7 10 9 9 9 9 9 10 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 10 9 9 10 10 9 9 9 9 6 6 10 9 9 9 9 9 9 9 9 10 9 9 10 10 9 9 9 9 9 9 5 5 9 10 11 11 11 9 10 8
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 9 10 9 9 10 10 9 10 9 9 9 9 9 10 10 9 9 9 11 9 9 10 9 10 8 8 11 9 10 9 9 10 10 10 10 9 10 9 10 10 9 10 10 9 10 8 10 8 4 9 9 7 6 5 5 6 7 8 9 9 9 9 8 9 6 10 9 9 9 9 9 9 9 9 9 9 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 10 9 9 9 8 8 4 7 10 10 9 9 10 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 10 12 11 10 10 10 10 9 9 9
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 10 9 9 9 9 9 9 10 9 9 9 10 9 9 9 9 9 8 10 9 10 9 9 10 9 10 9 10 9 10 9 9 9 9 9 9 9 6 9 11 9 10 9 9 10 9 10 10 10 10 9 10 10 10 10 9 9 10 8 10 8 5 12 11 10 9 9 11 10 11 10 9 9 8 8 9 9 7 10 9 9 9 9 9 9 9 9 10 9 10 9 9 9 9 10 9 9 9 10 9 10 9 9 9 10 9 9 9 9 9 9 9 8 9 8 8 8 9 10 5 8 10 10 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 11 10 9 9 9 9 9 9 9 9 9
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 10 10 9 9 9 9 9 10 10 10 10 9 10 9 9 10 9 9 9 10 9 10 9 9 10 10 10 9 10 9 9 7 9 9 9 9 9 9 6 10 10 10 10 9 10 10 9 10 10 9 9 9 11 10 10 9 10 9 8 7 7 6 6 12 9 9 9 9 9 9 10 9 9 10 10 9 10 8 9 9 9 9 10 9 9 9 9 9 9 10 9 10 9 10 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 10 9 9 9 10 10 9 9 8 2 8 11 9 9 9 9 9 9 9 10 9 9 9 10 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 10 10 10 10 9 10 10 10 9 9 9 10 9 9 10 10 10 10 9 9 9 10 9 9 9 9 10 9 10 9 8 10 10 9 9 9 10 9 7 11 9 9 9 9 7 7 11 10 8 7 9 10 10 10 10 10 9 9 10 10 9 10 9 9 9 8 10 10 8 9 12 9 9 9 9 9 9 8 9 9 9 9 8 10 7 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 10 10 9 9 9 10 9 10 9 9 8 10 10 9 9 9 9 10 9 9 9 9 10 9 9 10 8 3 10 12 10 10 10 9 9 9 10 9 9 9 10 10 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 10
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 10 9 9 9 9 10 9 9 10 10 10 10 9 10 10 10 9 9 9 10 9 9 9 9 9 10 9 9 9 8 10 9 9 10 9 9 9 9 10 9 9 9 8 6 9 12 9 5 9 10 9 10 10 10 10 10 9 11 10 9 9 9 9 9 8 10 10 6 6 10 9 9 9 9 9 9 9 9 9 9 9 9 9 6 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 9 9 9 9 10 9 10 9 9 10 9 9 9 9 9 10 9 9 9 9 9 9 8 7 9 8 2 10 11 8 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 10 9 9 10 9 9 10 9 9 9 10 10 10 7 7 10 9 9 9 9 9 10 9 9 9 8 10 10 9 10 9 9 10 9 9 10 9 9 9 8 9 9 9 9 7 9 9 11 9 9 11 10 9 10 10 10 10 9 9 10 10 9 9 9 9 8 10 9 10 5 6 12 8 8 9 9 9 9 9 9 9 9 9 9 7 6 11 9 9 9 9 10 9 9 10 9 10 10 9 9 9 10 9 9 8 8 10 9 9 9 10 9 9 9 9 9 9 9 8 8 8 8 7 4 2 2 2 3 1 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 6 8 10 10 9 9 9 9 9 9 9 10 10 9 9 9
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 9 9 10 9 10 10 10 10 10 7 11 10 10 10 10 9 9 9 9 9 9 8 10 9 9 9 9 9 10 9 9 10 10 9 8 4 9 8 4 6 6 10 9 10 9 10 9 10 9 10 10 9 9 9 10 10 10 9 9 9 8 8 10 9 10 6 7 13 10 9 10 9 9 9 9 9 9 8 9 9 5 10 10 9 9 9 9 9 9 9 9 9 10 10 9 9 10 10 9 9 6 8 10 9 9 10 10 9 9 9 9 9 10 9 10 9 8 5 5 7 8 10 6 3 5 13 11 9 9 9 9 9 9 9 9 9 9 8 6 6 3 8 10 9 9 9 9 9 9 7 8 7 8 9 7 8
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 8 10 9 9 10 9 9 9 9 9 10 9 9 6 7 12 9 7 12 9 11 8 10 10 10 9 9 9 10 9 10 9 10 10 10 10 9 9 10 8 9 9 9 9 7 4 12 9 9 9 9 9 9 9 9 8 9 9 9 7 11 10 9 9 9 9 9 9 10 9 10 10 9 10 9 9 9 8 8 2 9 10 9 9 9 9 9 9 9 9 10 10 9 9 9 7 11 12 11 12 9 3 8 11 13 9 9 9 9 9 9 9 9 10 10 9 7 5 3 3 10 9 9 9 9 9 9 8 3 6 3 6 5 2 4
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 10 8 9 9 9 9 9 10 9 9 9 9 10 9 9 9 9 8 9 9 9 8 10 10 10 10 10 10 10 10 9 10 9 9 7 10 11 9 10 10 8 11 7 9 10 9 9 9 8 11 10 10 9 9 10 10 9 9 10 9 8 9 9 10 9 7 6 12 9 9 9 9 9 9 9 9 8 9 9 7 6 11 9 9 9 9 9 9 9 9 9 10 10 9 10 9 10 9 7 3 4 11 11 9 9 9 9 9 9 9 10 8 9 9 9 9 10 9 9 9 8 7 2 7 9 11 8 8 7 4 7 9 9 9 10 9 9 8 5 4 7 10 10 9 9 9 9 9 6 5 3 4 7 3 4 3
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 10 10 9 9 10 9 9 10 9 10 9 9 9 9 9 9 9 9 9 10 10 9 9 9 7 10 8 7 5 9 10 10 10 9 9 9 10 10 9 9 9 6 9 10 9 10 9 5 8 4 9 10 9 9 10 9 10 10 10 10 10 10 9 8 9 10 9 8 8 9 10 9 6 4 9 9 9 9 9 9 9 9 9 9 9 9 8 10 10 9 9 10 9 9 9 9 9 9 10 10 9 9 9 9 8 7 4 8 13 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 6 5 3 4 1 4 8 9 3 2 2 1 5 5 9 9 9 9 3 4 6 3 12 10 10 10 9 9 7 9 6 2 6 7 7 4 6 3
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 10 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 10 9 9 9 9 5 7 8 10 8 10 10 10 10 10 8 10 9 9 9 8 4 3 10 9 9 9 7 8 8 8 12 10 9 9 10 10 10 10 10 9 10 9 9 8 10 9 9 7 8 9 9 8 5 5 12 10 9 9 9 9 9 9 8 10 9 9 8 10 10 9 9 10 9 9 9 9 9 10 10 9 9 9 10 9 9 8 4 6 12 10 9 9 9 9 9 9 10 10 9 9 9 9 8 6 2 2 2 2 1 3 2 8 10 5 2 1 2 6 5 9 7 4 7 2 7 2 4 10 11 10 10 9 4 2 6 4 4 4 5 6 3 6 5
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 10 10 10 9 9 9 9 10 9 9 9 9 9 9 9 10 10 9 8 9 8 9 9 8 6 11 12 10 8 6 10 9 10 9 9 9 9 9 8 3 5 9 10 8 7 4 5 11 10 10 9 10 9 8 9 10 9 10 9 9 10 8 8 9 10 9 8 6 9 9 7 4 3 11 9 6 8 9 9 9 8 9 9 10 9 9 7 10 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 4 4 8 8 4 5 5 4 4 3 5 6 7 9 7 4 4 5 7 8 10 9 7 5 3 8 7 3 2 6 6 8 7 8 2 6 6 1 3 5 8 13 12 9 6 4 1 4 7 6 7 4 9 10 10 10 9
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 10 10 9 10 10 9 9 9 9 10 9 8 9 8 8 9 10 10 10 10 9 9 11 10 10 9 9 8 11 10 8 3 7 12 10 10 9 9 9 10 9 4 9 12 12 12 10 9 6 11 11 10 9 5 10 10 8 10 10 9 10 9 10 10 4 5 8 9 7 7 9 11 11 6 5 12 13 8 4 10 9 9 9 8 10 10 9 9 8 5 11 9 9 9 9 9 9 9 9 9 10 10 9 9 10 9 9 10 6 1 4 10 4 1 2 3 4 3 3 2 1 2 4 4 8 11 11 8 11 13 10 10 6 4 7 5 5 7 7 8 9 11 5 5 5 4 1 5 7 10 10 7 4 1 1 2 5 4 4 6 7 10 10 11 11 13
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 9 9 10 10 9 9 9 10 9 10 10 9 9 11 10 10 10 10 10 9 9 10 10 10 10 10 8 10 10 8 2 10 11 9 10 10 10 9 10 8 7 12 9 9 9 9 9 6 11 10 10 10 5 4 7 8 11 10 9 10 10 10 10 8 8 8 7 6 10 10 10 9 5 8 12 9 8 5 12 10 9 9 9 10 10 9 9 7 6 12 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 2 2 8 7 2 7 10 12 13 13 11 10 8 6 3 3 2 3 5 7 10 9 10 4 2 4 8 8 9 8 9 9 9 5 5 4 4 4 6 9 12 12 8 5 1 2 4 7 8 8 11 14 8 8 9 11 12 11
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 8 9 10 9 9 9 9 10 10 10 10 9 9 10 9 9 10 9 9 8 5 4 9 8 5 4 11 12 10 9 10 9 9 8 4 10 10 9 10 10 7 9 8 10 9 10 10 4 5 8 6 9 10 9 10 9 9 10 9 9 10 4 9 11 10 9 8 3 11 10 9 7 6 13 9 9 9 9 10 9 9 6 6 6 8 9 9 9 9 9 9 9 9 10 8 8 9 10 9 9 9 8 1 4 9 9 12 13 13 14 12 11 9 11 7 10 12 12 9 8 6 2 6 8 8 3 2 4 9 11 11 11 11 8 8 8 8 5 7 8 10 13 14 9 7 8 7 8 9 10 9 9 13 14 9 8 11 11 7 5
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 10 10 9 10 9 9 9 9 9 6 5 9 10 6 9 9 10 9 9 9 7 4 8 12 12 7 3 10 14 12 9 9 9 9 9 6 7 12 10 9 9 9 7 11 9 10 11 12 10 6 6 10 10 10 7 8 9 10 9 9 9 9 7 3 10 8 7 9 5 7 13 9 8 3 11 11 9 9 7 8 10 9 7 4 8 4 7 9 9 9 9 9 9 9 10 9 7 11 9 9 9 9 9 6 0 6 8 12 14 14 12 11 9 10 9 9 7 9 11 10 5 10 10 8 8 4 1 0 0 6 12 13 10 9 10 4 9 9 9 9 9 10 13 14 13 6 5 10 12 12 13 9 6 9 12 10 9 4 5 2 1 5
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 11 10 9 9 9 10 9 10 9 10 9 9 9 9 5 11 10 8 9 10 8 9 9 9 7 5 10 12 10 10 6 7 12 12 9 10 10 8 9 6 8 11 10 9 9 9 8 9 10 10 10 11 10 10 9 6 9 13 12 3 4 8 9 9 9 9 9 9 8 9 8 11 10 7 11 10 7 3 9 11 9 9 8 7 11 10 8 6 11 11 9 8 12 10 9 9 9 9 10 9 9 10 8 9 9 9 9 8 2 2 8 11 14 13 10 9 8 8 6 5 2 5 2 3 2 3 9 10 8 9 9 8 4 4 8 13 14 9 10 4 6 9 9 9 10 9 13 14 14 11 5 3 8 9 11 11 3 3 7 8 7 3 0 2 3 3 5
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 10 9 9 9 10 10 10 9 10 10 10 9 7 8 11 10 10 9 7 7 8 7 6 7 12 11 10 10 10 7 8 11 11 9 9 9 9 9 4 11 10 9 9 9 9 7 10 10 10 10 10 10 10 9 5 9 11 11 7 10 7 5 4 6 8 10 9 9 6 12 11 8 9 10 9 4 6 12 9 9 9 8 6 9 7 6 11 10 9 9 6 13 10 9 9 9 10 9 9 9 9 10 9 9 9 9 5 0 5 11 13 8 7 8 7 5 2 1 1 1 2 2 4 6 7 9 5 1 1 3 4 4 4 9 13 11 5 3 3 8 10 8 9 9 9 13 11 10 7 2 3 3 3 4 2 1 2 6 8 7 4 5 5 4 5 6
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 9 9 9 9 10 9 7 11 10 10 9 10 9 9 8 3 7 9 10 10 9 10 10 9 7 11 11 9 10 10 10 9 9 12 8 8 8 9 9 6 11 8 9 10 10 10 9 9 7 9 10 11 9 6 5 5 5 9 5 7 8 6 7 9 5 6 6 10 9 3 10 12 9 9 9 5 3 7 7 12 10 9 9 9 8 11 9 9 10 9 10 9 9 9 10 10 9 9 9 8 1 1 7 12 10 6 6 2 2 2 2 6 5 7 9 10 10 10 10 10 8 6 5 2 1 2 3 11 14 9 7 6 10 11 6 4 8 9 10 13 7 7 2 1 1 2 4 4 2 2 6 11 13 13 12 12 11 10 11 12
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 10 9 9 9 9 10 9 7 11 10 9 10 10 10 10 10 8 9 9 9 9 9 9 9 9 7 10 10 10 9 10 9 9 9 9 8 8 10 10 9 7 10 7 9 8 10 9 6 9 11 10 9 12 10 9 6 10 13 11 7 6 4 7 10 6 5 2 7 10 6 7 12 8 8 9 8 5 9 13 12 10 9 9 9 9 8 7 10 10 9 9 9 9 9 10 10 9 9 9 9 6 0 4 9 13 10 13 11 9 6 4 8 10 11 13 13 11 12 12 10 10 9 9 9 8 8 7 7 9 7 5 4 11 6 1 1 5 9 9 9 8 5 8 3 3 1 5 8 10 12 12 12 13 14 10 10 14 12 12 12 13
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 8 9 10 10 10 9 9 9 10 10 9 9 9 9 10 9 7 11 10 9 10 10 9 8 9 7 6 9 8 9 9 9 9 9 8 10 10 9 9 9 9 9 9 8 6 6 5 5 6 9 7 9 9 8 7 4 8 12 10 10 9 11 10 9 5 10 11 9 9 7 8 12 10 9 7 7 9 5 6 12 10 8 5 4 3 2 5 5 8 9 9 9 9 9 7 2 8 9 9 10 9 10 9 10 9 9 10 9 6 6 0 6 12 11 11 13 10 5 5 8 11 13 13 14 10 7 12 9 11 7 10 10 10 12 9 9 11 12 11 3 4 7 0 2 6 9 9 10 10 8 9 6 2 1 5 9 11 13 10 9 10 12 11 5 11 13 10 11 7 10
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 10 10 10 9 9 9 10 9 9 9 9 9 9 9 7 11 9 9 9 10 9 9 9 4 7 9 11 9 7 8 9 9 6 8 9 8 8 8 8 7 5 3 3 5 6 5 3 7 7 8 8 3 4 6 11 9 8 9 9 9 7 5 3 8 10 10 9 5 8 13 9 7 5 8 10 7 13 10 9 7 3 3 6 9 10 8 7 9 9 10 9 9 3 3 11 10 9 9 9 10 10 9 9 9 10 8 5 5 2 8 13 10 13 12 9 7 4 11 13 13 11 12 5 9 10 10 7 9 7 10 12 12 3 9 12 12 4 4 8 6 1 5 8 10 10 10 9 9 9 6 4 7 9 10 13 7 6 7 5 5 6 5 11 12 10 7 7 11
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9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 10 9 9 10 9 10 9 10 9 9 9 9 9 9 8 10 9 9 9 9 10 10 10 10 10 10 10 10 10 9 10 9 9 11 10 7 11 10 9 8 10 9 9 9 10 9 9 8 9 8 8 7 10 8 10 9 10 9 9 9 9 9 9 10 9 10 10 9 9 9 10 9 10 9 9 9 9 9 9 9 9 9 10 9 10 9 9 9 9 9 9 9 9 9 9 9 8 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 10 9 9 10 9 9 10 9 10 9 10 9 10 9 9 10 9 8 10 9 9 9 10 10 10 10 10 10 10 10 9 10 10 10 7 10 10 8 9 10 9 9 9 10 9 8 9 9 9 10 8 9 9 6 8 10 9 10 9 9 9 9 10 9 9 10 9 9 10 10 10 9 10 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 10 9 9 9 10 9 10 9 9 10 9 9 9 9 9 8 10 9 8 10 9 9 9 10 10 10 10 10 9 10 10 9 10 10 8 7 11 9 7 8 10 9 8 10 10 9 8 9 9 9 9 9 8 8 8 8 9 10 9 9 9 9 10 9 9 9 9 9 10 9 10 9 9 10 9 9 10 9 9 9 9 9 9 9 10 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 10 9 10 10 10 10 9 9
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 10 9 9 9 9 10 9 10 9 9 9 9 9 10 9 9 9 10 9 9 9 9 9 10 9 8 10 9 9 9 9 10 10 10 10 9 10 10 9 10 10 10 10 10 9 8 10 10 9 7 10 10 8 8 10 9 9 9 9 8 9 6 9 10 10 9 9 9 10 9 9 10 9 9 9 10 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 10 9 9 9 10 10 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 10 10 9 10 9 9
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 10 9 10 10 9 9 10 9 10 10 10 9 9 10 9 10 9 9 8 9 9 9 10 9 9 9 9 9 9 10 9 9 10 10 10 10 10 10 9 10 10 9 10 10 9 10 9 9 9 8 9 8 8 11 9 9 9 9 8 9 9 9 9 9 6 10 11 10 9 9 9 9 9 9 9 9 9 9 10 9 9 9 10 9 10 9 9 9 9 9 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 9 9 8 9 9 9 9 9 9 9 9 9 9 10 10 9 10 10 9 9 9 9 9 9 10 9 9 9 9 9 9
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 9 10 10 10 9 10 10 9 10 9 8 8 10 9 9 9 9 9 10 9 9 10 10 9 9 10 10 10 10 10 9 9 10 10 9 10 10 9 10 9 9 8 8 9 8 10 10 8 9 9 8 9 9 9 9 9 9 7 9 11 9 9 9 9 9 9 9 9 10 9 9 10 9 9 9 10 9 10 10 9 9 9 9 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 9 7 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 10 9 9 9 9 9 10 9 9 9 9 9 9 9 9
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 10 10 9 9 9 9 10 9 9 9 9 9 9 9 10 9 10 9 9 9 9 10 9 7 10 9 9 9 9 10 9 9 9 9 10 9 9 9 10 10 10 10 10 9 9 10 10 9 10 9 9 10 8 9 7 8 9 10 10 10 8 9 8 8 9 9 9 8 9 8 7 10 11 9 9 9 9 9 9 9 9 9 10 10 9 9 10 9 9 10 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 9 9 9 9 10 9 8 10 9 9 9 9 9 9 9 9 9 9 10 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 10 9 10 9 9 9 9 9 9 10 9 9 9 9 10 9 10 7 7 9 9 9 10 10 9 9 9 9 10 10 9 7 11 9 9 9 9 10 9 8 9 9 10 9 9 10 9 10 10 10 10 9 10 10 10 9 10 9 9 10 8 10 7 10 9 10 10 9 9 9 8 8 10 9 9 9 9 9 7 10 10 9 9 9 9 10 9 9 9 9 9 10 9 9 10 10 9 10 9 9 9 9 10 10 9 9 9 10 9 10 9 9 10 9 9 10 9 9 9 9 7 4 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 8 7 5 6 6 7 5 4
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 10 9 9 9 9 9 9 9 9 9 10 10 9 10 9 7 10 11 9 10 10 10 9 9 9 9 10 10 9 8 11 9 9 9 9 10 9 8 11 9 10 9 9 10 9 10 10 10 10 9 10 10 9 10 10 9 9 9 9 9 5 8 9 10 9 8 9 8 8 9 8 9 9 9 8 9 7 10 9 9 9 9 9 10 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 10 9 9 10 10 9 9 9 9 6 6 10 9 9 9 9 9 9 9 9 10 9 9 10 10 9 9 9 9 9 9 5 5 9 10 11 11 11 9 10 8
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9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 10 10 10 10 9 10 10 10 9 9 9 10 9 9 10 10 10 10 9 9 9 10 9 9 9 9 10 9 10 9 8 10 10 9 9 9 10 9 7 11 9 9 9 9 7 7 11 10 8 7 9 10 10 10 10 10 9 9 10 10 9 10 9 9 9 8 10 10 8 9 12 9 9 9 9 9 9 8 9 9 9 9 8 10 7 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 10 10 9 9 9 10 9 10 9 9 8 10 10 9 9 9 9 10 9 9 9 9 10 9 9 10 8 3 10 12 10 10 10 9 9 9 10 9 9 9 10 10 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 10
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 10 9 9 9 9 10 9 9 10 10 10 10 9 10 10 10 9 9 9 10 9 9 9 9 9 10 9 9 9 8 10 9 9 10 9 9 9 9 10 9 9 9 8 6 9 12 9 5 9 10 9 10 10 10 10 10 9 11 10 9 9 9 9 9 8 10 10 6 6 10 9 9 9 9 9 9 9 9 9 9 9 9 9 6 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 9 9 9 9 10 9 10 9 9 10 9 9 9 9 9 10 9 9 9 9 9 9 8 7 9 8 2 10 11 8 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 10 9 9 10 9 9 10 9 9 9 10 10 10 7 7 10 9 9 9 9 9 10 9 9 9 8 10 10 9 10 9 9 10 9 9 10 9 9 9 8 9 9 9 9 7 9 9 11 9 9 11 10 9 10 10 10 10 9 9 10 10 9 9 9 9 8 10 9 10 5 6 12 8 8 9 9 9 9 9 9 9 9 9 9 7 6 11 9 9 9 9 10 9 9 10 9 10 10 9 9 9 10 9 9 8 8 10 9 9 9 10 9 9 9 9 9 9 9 8 8 8 8 7 4 2 2 2 3 1 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 6 8 10 10 9 9 9 9 9 9 9 10 10 9 9 9
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 9 9 10 9 10 10 10 10 10 7 11 10 10 10 10 9 9 9 9 9 9 8 10 9 9 9 9 9 10 9 9 10 10 9 8 4 9 8 4 6 6 10 9 10 9 10 9 10 9 10 10 9 9 9 10 10 10 9 9 9 8 8 10 9 10 6 7 13 10 9 10 9 9 9 9 9 9 8 9 9 5 10 10 9 9 9 9 9 9 9 9 9 10 10 9 9 10 10 9 9 6 8 10 9 9 10 10 9 9 9 9 9 10 9 10 9 8 5 5 7 8 10 6 3 5 13 11 9 9 9 9 9 9 9 9 9 9 8 6 6 3 8 10 9 9 9 9 9 9 7 8 7 8 9 7 8
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 8 10 9 9 10 9 9 9 9 9 10 9 9 6 7 12 9 7 12 9 11 8 10 10 10 9 9 9 10 9 10 9 10 10 10 10 9 9 10 8 9 9 9 9 7 4 12 9 9 9 9 9 9 9 9 8 9 9 9 7 11 10 9 9 9 9 9 9 10 9 10 10 9 10 9 9 9 8 8 2 9 10 9 9 9 9 9 9 9 9 10 10 9 9 9 7 11 12 11 12 9 3 8 11 13 9 9 9 9 9 9 9 9 10 10 9 7 5 3 3 10 9 9 9 9 9 9 8 3 6 3 6 5 2 4
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 10 8 9 9 9 9 9 10 9 9 9 9 10 9 9 9 9 8 9 9 9 8 10 10 10 10 10 10 10 10 9 10 9 9 7 10 11 9 10 10 8 11 7 9 10 9 9 9 8 11 10 10 9 9 10 10 9 9 10 9 8 9 9 10 9 7 6 12 9 9 9 9 9 9 9 9 8 9 9 7 6 11 9 9 9 9 9 9 9 9 9 10 10 9 10 9 10 9 7 3 4 11 11 9 9 9 9 9 9 9 10 8 9 9 9 9 10 9 9 9 8 7 2 7 9 11 8 8 7 4 7 9 9 9 10 9 9 8 5 4 7 10 10 9 9 9 9 9 6 5 3 4 7 3 4 3
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 10 10 9 9 10 9 9 10 9 10 9 9 9 9 9 9 9 9 9 10 10 9 9 9 7 10 8 7 5 9 10 10 10 9 9 9 10 10 9 9 9 6 9 10 9 10 9 5 8 4 9 10 9 9 10 9 10 10 10 10 10 10 9 8 9 10 9 8 8 9 10 9 6 4 9 9 9 9 9 9 9 9 9 9 9 9 8 10 10 9 9 10 9 9 9 9 9 9 10 10 9 9 9 9 8 7 4 8 13 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 6 5 3 4 1 4 8 9 3 2 2 1 5 5 9 9 9 9 3 4 6 3 12 10 10 10 9 9 7 9 6 2 6 7 7 4 6 3
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 10 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 10 9 9 9 9 5 7 8 10 8 10 10 10 10 10 8 10 9 9 9 8 4 3 10 9 9 9 7 8 8 8 12 10 9 9 10 10 10 10 10 9 10 9 9 8 10 9 9 7 8 9 9 8 5 5 12 10 9 9 9 9 9 9 8 10 9 9 8 10 10 9 9 10 9 9 9 9 9 10 10 9 9 9 10 9 9 8 4 6 12 10 9 9 9 9 9 9 10 10 9 9 9 9 8 6 2 2 2 2 1 3 2 8 10 5 2 1 2 6 5 9 7 4 7 2 7 2 4 10 11 10 10 9 4 2 6 4 4 4 5 6 3 6 5
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 10 10 10 9 9 9 9 10 9 9 9 9 9 9 9 10 10 9 8 9 8 9 9 8 6 11 12 10 8 6 10 9 10 9 9 9 9 9 8 3 5 9 10 8 7 4 5 11 10 10 9 10 9 8 9 10 9 10 9 9 10 8 8 9 10 9 8 6 9 9 7 4 3 11 9 6 8 9 9 9 8 9 9 10 9 9 7 10 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 4 4 8 8 4 5 5 4 4 3 5 6 7 9 7 4 4 5 7 8 10 9 7 5 3 8 7 3 2 6 6 8 7 8 2 6 6 1 3 5 8 13 12 9 6 4 1 4 7 6 7 4 9 10 10 10 9
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 10 10 9 10 10 9 9 9 9 10 9 8 9 8 8 9 10 10 10 10 9 9 11 10 10 9 9 8 11 10 8 3 7 12 10 10 9 9 9 10 9 4 9 12 12 12 10 9 6 11 11 10 9 5 10 10 8 10 10 9 10 9 10 10 4 5 8 9 7 7 9 11 11 6 5 12 13 8 4 10 9 9 9 8 10 10 9 9 8 5 11 9 9 9 9 9 9 9 9 9 10 10 9 9 10 9 9 10 6 1 4 10 4 1 2 3 4 3 3 2 1 2 4 4 8 11 11 8 11 13 10 10 6 4 7 5 5 7 7 8 9 11 5 5 5 4 1 5 7 10 10 7 4 1 1 2 5 4 4 6 7 10 10 11 11 13
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 9 9 10 10 9 9 9 10 9 10 10 9 9 11 10 10 10 10 10 9 9 10 10 10 10 10 8 10 10 8 2 10 11 9 10 10 10 9 10 8 7 12 9 9 9 9 9 6 11 10 10 10 5 4 7 8 11 10 9 10 10 10 10 8 8 8 7 6 10 10 10 9 5 8 12 9 8 5 12 10 9 9 9 10 10 9 9 7 6 12 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 2 2 8 7 2 7 10 12 13 13 11 10 8 6 3 3 2 3 5 7 10 9 10 4 2 4 8 8 9 8 9 9 9 5 5 4 4 4 6 9 12 12 8 5 1 2 4 7 8 8 11 14 8 8 9 11 12 11
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 8 9 10 9 9 9 9 10 10 10 10 9 9 10 9 9 10 9 9 8 5 4 9 8 5 4 11 12 10 9 10 9 9 8 4 10 10 9 10 10 7 9 8 10 9 10 10 4 5 8 6 9 10 9 10 9 9 10 9 9 10 4 9 11 10 9 8 3 11 10 9 7 6 13 9 9 9 9 10 9 9 6 6 6 8 9 9 9 9 9 9 9 9 10 8 8 9 10 9 9 9 8 1 4 9 9 12 13 13 14 12 11 9 11 7 10 12 12 9 8 6 2 6 8 8 3 2 4 9 11 11 11 11 8 8 8 8 5 7 8 10 13 14 9 7 8 7 8 9 10 9 9 13 14 9 8 11 11 7 5
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 10 10 9 10 9 9 9 9 9 6 5 9 10 6 9 9 10 9 9 9 7 4 8 12 12 7 3 10 14 12 9 9 9 9 9 6 7 12 10 9 9 9 7 11 9 10 11 12 10 6 6 10 10 10 7 8 9 10 9 9 9 9 7 3 10 8 7 9 5 7 13 9 8 3 11 11 9 9 7 8 10 9 7 4 8 4 7 9 9 9 9 9 9 9 10 9 7 11 9 9 9 9 9 6 0 6 8 12 14 14 12 11 9 10 9 9 7 9 11 10 5 10 10 8 8 4 1 0 0 6 12 13 10 9 10 4 9 9 9 9 9 10 13 14 13 6 5 10 12 12 13 9 6 9 12 10 9 4 5 2 1 5
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 11 10 9 9 9 10 9 10 9 10 9 9 9 9 5 11 10 8 9 10 8 9 9 9 7 5 10 12 10 10 6 7 12 12 9 10 10 8 9 6 8 11 10 9 9 9 8 9 10 10 10 11 10 10 9 6 9 13 12 3 4 8 9 9 9 9 9 9 8 9 8 11 10 7 11 10 7 3 9 11 9 9 8 7 11 10 8 6 11 11 9 8 12 10 9 9 9 9 10 9 9 10 8 9 9 9 9 8 2 2 8 11 14 13 10 9 8 8 6 5 2 5 2 3 2 3 9 10 8 9 9 8 4 4 8 13 14 9 10 4 6 9 9 9 10 9 13 14 14 11 5 3 8 9 11 11 3 3 7 8 7 3 0 2 3 3 5
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 10 9 9 9 10 10 10 9 10 10 10 9 7 8 11 10 10 9 7 7 8 7 6 7 12 11 10 10 10 7 8 11 11 9 9 9 9 9 4 11 10 9 9 9 9 7 10 10 10 10 10 10 10 9 5 9 11 11 7 10 7 5 4 6 8 10 9 9 6 12 11 8 9 10 9 4 6 12 9 9 9 8 6 9 7 6 11 10 9 9 6 13 10 9 9 9 10 9 9 9 9 10 9 9 9 9 5 0 5 11 13 8 7 8 7 5 2 1 1 1 2 2 4 6 7 9 5 1 1 3 4 4 4 9 13 11 5 3 3 8 10 8 9 9 9 13 11 10 7 2 3 3 3 4 2 1 2 6 8 7 4 5 5 4 5 6
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 9 9 9 9 10 9 7 11 10 10 9 10 9 9 8 3 7 9 10 10 9 10 10 9 7 11 11 9 10 10 10 9 9 12 8 8 8 9 9 6 11 8 9 10 10 10 9 9 7 9 10 11 9 6 5 5 5 9 5 7 8 6 7 9 5 6 6 10 9 3 10 12 9 9 9 5 3 7 7 12 10 9 9 9 8 11 9 9 10 9 10 9 9 9 10 10 9 9 9 8 1 1 7 12 10 6 6 2 2 2 2 6 5 7 9 10 10 10 10 10 8 6 5 2 1 2 3 11 14 9 7 6 10 11 6 4 8 9 10 13 7 7 2 1 1 2 4 4 2 2 6 11 13 13 12 12 11 10 11 12
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 10 9 9 9 9 10 9 7 11 10 9 10 10 10 10 10 8 9 9 9 9 9 9 9 9 7 10 10 10 9 10 9 9 9 9 8 8 10 10 9 7 10 7 9 8 10 9 6 9 11 10 9 12 10 9 6 10 13 11 7 6 4 7 10 6 5 2 7 10 6 7 12 8 8 9 8 5 9 13 12 10 9 9 9 9 8 7 10 10 9 9 9 9 9 10 10 9 9 9 9 6 0 4 9 13 10 13 11 9 6 4 8 10 11 13 13 11 12 12 10 10 9 9 9 8 8 7 7 9 7 5 4 11 6 1 1 5 9 9 9 8 5 8 3 3 1 5 8 10 12 12 12 13 14 10 10 14 12 12 12 13
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9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 6 6 10 10 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 10 10 10 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 7 8 10 9 9 9 9 9 4 8 12 12 9 9 8 9 9 8 8 9 9 4 2 7 10 6 4 7 9 10 13 14 12 8 12 11 8 12 12 7 9 8 5 13 14 12 10 10 9 9 9 9 5 7 12 12 12 9 8 7 8 8 9 5 8 9 10 9 9 10 10 9 9 9 9 10 10 11 11 9 9 10 9 9 9 9
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9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 10 9 9 9 9 9 9 9 9 9 10 10 9 10 9 7 10 11 9 10 10 10 9 9 9 9 10 10 9 8 11 9 9 9 9 10 9 8 11 9 10 9 9 10 9 10 10 10 10 9 10 10 9 10 10 9 9 9 9 9 5 8 9 10 9 8 9 8 8 9 8 9 9 9 8 9 7 10 9 9 9 9 9 10 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 10 9 9 10 10 9 9 9 9 6 6 10 9 9 9 9 9 9 9 9 10 9 9 10 10 9 9 9 9 9 9 5 5 9 10 11 11 11 9 10 8
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9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 10 9 9 10 9 9 10 9 9 9 10 10 10 7 7 10 9 9 9 9 9 10 9 9 9 8 10 10 9 10 9 9 10 9 9 10 9 9 9 8 9 9 9 9 7 9 9 11 9 9 11 10 9 10 10 10 10 9 9 10 10 9 9 9 9 8 10 9 10 5 6 12 8 8 9 9 9 9 9 9 9 9 9 9 7 6 11 9 9 9 9 10 9 9 10 9 10 10 9 9 9 10 9 9 8 8 10 9 9 9 10 9 9 9 9 9 9 9 8 8 8 8 7 4 2 2 2 3 1 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 6 8 10 10 9 9 9 9 9 9 9 10 10 9 9 9
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 9 9 10 9 10 10 10 10 10 7 11 10 10 10 10 9 9 9 9 9 9 8 10 9 9 9 9 9 10 9 9 10 10 9 8 4 9 8 4 6 6 10 9 10 9 10 9 10 9 10 10 9 9 9 10 10 10 9 9 9 8 8 10 9 10 6 7 13 10 9 10 9 9 9 9 9 9 8 9 9 5 10 10 9 9 9 9 9 9 9 9 9 10 10 9 9 10 10 9 9 6 8 10 9 9 10 10 9 9 9 9 9 10 9 10 9 8 5 5 7 8 10 6 3 5 13 11 9 9 9 9 9 9 9 9 9 9 8 6 6 3 8 10 9 9 9 9 9 9 7 8 7 8 9 7 8
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 8 10 9 9 10 9 9 9 9 9 10 9 9 6 7 12 9 7 12 9 11 8 10 10 10 9 9 9 10 9 10 9 10 10 10 10 9 9 10 8 9 9 9 9 7 4 12 9 9 9 9 9 9 9 9 8 9 9 9 7 11 10 9 9 9 9 9 9 10 9 10 10 9 10 9 9 9 8 8 2 9 10 9 9 9 9 9 9 9 9 10 10 9 9 9 7 11 12 11 12 9 3 8 11 13 9 9 9 9 9 9 9 9 10 10 9 7 5 3 3 10 9 9 9 9 9 9 8 3 6 3 6 5 2 4
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 10 8 9 9 9 9 9 10 9 9 9 9 10 9 9 9 9 8 9 9 9 8 10 10 10 10 10 10 10 10 9 10 9 9 7 10 11 9 10 10 8 11 7 9 10 9 9 9 8 11 10 10 9 9 10 10 9 9 10 9 8 9 9 10 9 7 6 12 9 9 9 9 9 9 9 9 8 9 9 7 6 11 9 9 9 9 9 9 9 9 9 10 10 9 10 9 10 9 7 3 4 11 11 9 9 9 9 9 9 9 10 8 9 9 9 9 10 9 9 9 8 7 2 7 9 11 8 8 7 4 7 9 9 9 10 9 9 8 5 4 7 10 10 9 9 9 9 9 6 5 3 4 7 3 4 3
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 10 10 9 9 10 9 9 10 9 10 9 9 9 9 9 9 9 9 9 10 10 9 9 9 7 10 8 7 5 9 10 10 10 9 9 9 10 10 9 9 9 6 9 10 9 10 9 5 8 4 9 10 9 9 10 9 10 10 10 10 10 10 9 8 9 10 9 8 8 9 10 9 6 4 9 9 9 9 9 9 9 9 9 9 9 9 8 10 10 9 9 10 9 9 9 9 9 9 10 10 9 9 9 9 8 7 4 8 13 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 6 5 3 4 1 4 8 9 3 2 2 1 5 5 9 9 9 9 3 4 6 3 12 10 10 10 9 9 7 9 6 2 6 7 7 4 6 3
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 10 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 10 9 9 9 9 5 7 8 10 8 10 10 10 10 10 8 10 9 9 9 8 4 3 10 9 9 9 7 8 8 8 12 10 9 9 10 10 10 10 10 9 10 9 9 8 10 9 9 7 8 9 9 8 5 5 12 10 9 9 9 9 9 9 8 10 9 9 8 10 10 9 9 10 9 9 9 9 9 10 10 9 9 9 10 9 9 8 4 6 12 10 9 9 9 9 9 9 10 10 9 9 9 9 8 6 2 2 2 2 1 3 2 8 10 5 2 1 2 6 5 9 7 4 7 2 7 2 4 10 11 10 10 9 4 2 6 4 4 4 5 6 3 6 5
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 10 10 10 9 9 9 9 10 9 9 9 9 9 9 9 10 10 9 8 9 8 9 9 8 6 11 12 10 8 6 10 9 10 9 9 9 9 9 8 3 5 9 10 8 7 4 5 11 10 10 9 10 9 8 9 10 9 10 9 9 10 8 8 9 10 9 8 6 9 9 7 4 3 11 9 6 8 9 9 9 8 9 9 10 9 9 7 10 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 4 4 8 8 4 5 5 4 4 3 5 6 7 9 7 4 4 5 7 8 10 9 7 5 3 8 7 3 2 6 6 8 7 8 2 6 6 1 3 5 8 13 12 9 6 4 1 4 7 6 7 4 9 10 10 10 9
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 10 10 9 10 10 9 9 9 9 10 9 8 9 8 8 9 10 10 10 10 9 9 11 10 10 9 9 8 11 10 8 3 7 12 10 10 9 9 9 10 9 4 9 12 12 12 10 9 6 11 11 10 9 5 10 10 8 10 10 9 10 9 10 10 4 5 8 9 7 7 9 11 11 6 5 12 13 8 4 10 9 9 9 8 10 10 9 9 8 5 11 9 9 9 9 9 9 9 9 9 10 10 9 9 10 9 9 10 6 1 4 10 4 1 2 3 4 3 3 2 1 2 4 4 8 11 11 8 11 13 10 10 6 4 7 5 5 7 7 8 9 11 5 5 5 4 1 5 7 10 10 7 4 1 1 2 5 4 4 6 7 10 10 11 11 13
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 9 9 10 10 9 9 9 10 9 10 10 9 9 11 10 10 10 10 10 9 9 10 10 10 10 10 8 10 10 8 2 10 11 9 10 10 10 9 10 8 7 12 9 9 9 9 9 6 11 10 10 10 5 4 7 8 11 10 9 10 10 10 10 8 8 8 7 6 10 10 10 9 5 8 12 9 8 5 12 10 9 9 9 10 10 9 9 7 6 12 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 2 2 8 7 2 7 10 12 13 13 11 10 8 6 3 3 2 3 5 7 10 9 10 4 2 4 8 8 9 8 9 9 9 5 5 4 4 4 6 9 12 12 8 5 1 2 4 7 8 8 11 14 8 8 9 11 12 11
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 8 9 10 9 9 9 9 10 10 10 10 9 9 10 9 9 10 9 9 8 5 4 9 8 5 4 11 12 10 9 10 9 9 8 4 10 10 9 10 10 7 9 8 10 9 10 10 4 5 8 6 9 10 9 10 9 9 10 9 9 10 4 9 11 10 9 8 3 11 10 9 7 6 13 9 9 9 9 10 9 9 6 6 6 8 9 9 9 9 9 9 9 9 10 8 8 9 10 9 9 9 8 1 4 9 9 12 13 13 14 12 11 9 11 7 10 12 12 9 8 6 2 6 8 8 3 2 4 9 11 11 11 11 8 8 8 8 5 7 8 10 13 14 9 7 8 7 8 9 10 9 9 13 14 9 8 11 11 7 5
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 10 10 9 10 9 9 9 9 9 6 5 9 10 6 9 9 10 9 9 9 7 4 8 12 12 7 3 10 14 12 9 9 9 9 9 6 7 12 10 9 9 9 7 11 9 10 11 12 10 6 6 10 10 10 7 8 9 10 9 9 9 9 7 3 10 8 7 9 5 7 13 9 8 3 11 11 9 9 7 8 10 9 7 4 8 4 7 9 9 9 9 9 9 9 10 9 7 11 9 9 9 9 9 6 0 6 8 12 14 14 12 11 9 10 9 9 7 9 11 10 5 10 10 8 8 4 1 0 0 6 12 13 10 9 10 4 9 9 9 9 9 10 13 14 13 6 5 10 12 12 13 9 6 9 12 10 9 4 5 2 1 5
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 11 10 9 9 9 10 9 10 9 10 9 9 9 9 5 11 10 8 9 10 8 9 9 9 7 5 10 12 10 10 6 7 12 12 9 10 10 8 9 6 8 11 10 9 9 9 8 9 10 10 10 11 10 10 9 6 9 13 12 3 4 8 9 9 9 9 9 9 8 9 8 11 10 7 11 10 7 3 9 11 9 9 8 7 11 10 8 6 11 11 9 8 12 10 9 9 9 9 10 9 9 10 8 9 9 9 9 8 2 2 8 11 14 13 10 9 8 8 6 5 2 5 2 3 2 3 9 10 8 9 9 8 4 4 8 13 14 9 10 4 6 9 9 9 10 9 13 14 14 11 5 3 8 9 11 11 3 3 7 8 7 3 0 2 3 3 5
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 10 9 9 9 10 10 10 9 10 10 10 9 7 8 11 10 10 9 7 7 8 7 6 7 12 11 10 10 10 7 8 11 11 9 9 9 9 9 4 11 10 9 9 9 9 7 10 10 10 10 10 10 10 9 5 9 11 11 7 10 7 5 4 6 8 10 9 9 6 12 11 8 9 10 9 4 6 12 9 9 9 8 6 9 7 6 11 10 9 9 6 13 10 9 9 9 10 9 9 9 9 10 9 9 9 9 5 0 5 11 13 8 7 8 7 5 2 1 1 1 2 2 4 6 7 9 5 1 1 3 4 4 4 9 13 11 5 3 3 8 10 8 9 9 9 13 11 10 7 2 3 3 3 4 2 1 2 6 8 7 4 5 5 4 5 6
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9 9 9 9 9 9 9 9 10 9 9 8 8 9 9 9 9 10 10 10 9 9 9 9 9 8 9 9 10 10 9 9 9 10 9 9 8 9 10 8 6 8 8 6 7 9 9 9 10 11 13 13 11 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 11 11 9 9 9 9 9 9 9 9 9 9 11 11 10 10 10 10 10 9 8 9 9 10 9 9 9 9 7 10 9 8 8 4 10 9 7 9 6 12 13 9 7 10 9 7 6 9 11 6 2 4 8 9 8 7 3 2 6 9 7 2 0 4 11 13 14 12 11 12 12 13 11 9 8 5 3 2 2 1 3 3 3 4 7 6 8 7 9 11 12 11 9 8 9 10 10 9 9 9 9 9 9 9 9 7 8 8 9 8 8 9 9 9 9 7 5
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9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 8 10 9 9 10 9 9 9 9 9 10 9 9 6 7 12 9 7 12 9 11 8 10 10 10 9 9 9 10 9 10 9 10 10 10 10 9 9 10 8 9 9 9 9 7 4 12 9 9 9 9 9 9 9 9 8 9 9 9 7 11 10 9 9 9 9 9 9 10 9 10 10 9 10 9 9 9 8 8 2 9 10 9 9 9 9 9 9 9 9 10 10 9 9 9 7 11 12 11 12 9 3 8 11 13 9 9 9 9 9 9 9 9 10 10 9 7 5 3 3 10 9 9 9 9 9 9 8 3 6 3 6 5 2 4
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 10 8 9 9 9 9 9 10 9 9 9 9 10 9 9 9 9 8 9 9 9 8 10 10 10 10 10 10 10 10 9 10 9 9 7 10 11 9 10 10 8 11 7 9 10 9 9 9 8 11 10 10 9 9 10 10 9 9 10 9 8 9 9 10 9 7 6 12 9 9 9 9 9 9 9 9 8 9 9 7 6 11 9 9 9 9 9 9 9 9 9 10 10 9 10 9 10 9 7 3 4 11 11 9 9 9 9 9 9 9 10 8 9 9 9 9 10 9 9 9 8 7 2 7 9 11 8 8 7 4 7 9 9 9 10 9 9 8 5 4 7 10 10 9 9 9 9 9 6 5 3 4 7 3 4 3
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 10 10 9 9 10 9 9 10 9 10 9 9 9 9 9 9 9 9 9 10 10 9 9 9 7 10 8 7 5 9 10 10 10 9 9 9 10 10 9 9 9 6 9 10 9 10 9 5 8 4 9 10 9 9 10 9 10 10 10 10 10 10 9 8 9 10 9 8 8 9 10 9 6 4 9 9 9 9 9 9 9 9 9 9 9 9 8 10 10 9 9 10 9 9 9 9 9 9 10 10 9 9 9 9 8 7 4 8 13 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 6 5 3 4 1 4 8 9 3 2 2 1 5 5 9 9 9 9 3 4 6 3 12 10 10 10 9 9 7 9 6 2 6 7 7 4 6 3
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 10 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 10 9 9 9 9 5 7 8 10 8 10 10 10 10 10 8 10 9 9 9 8 4 3 10 9 9 9 7 8 8 8 12 10 9 9 10 10 10 10 10 9 10 9 9 8 10 9 9 7 8 9 9 8 5 5 12 10 9 9 9 9 9 9 8 10 9 9 8 10 10 9 9 10 9 9 9 9 9 10 10 9 9 9 10 9 9 8 4 6 12 10 9 9 9 9 9 9 10 10 9 9 9 9 8 6 2 2 2 2 1 3 2 8 10 5 2 1 2 6 5 9 7 4 7 2 7 2 4 10 11 10 10 9 4 2 6 4 4 4 5 6 3 6 5
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 10 10 10 9 9 9 9 10 9 9 9 9 9 9 9 10 10 9 8 9 8 9 9 8 6 11 12 10 8 6 10 9 10 9 9 9 9 9 8 3 5 9 10 8 7 4 5 11 10 10 9 10 9 8 9 10 9 10 9 9 10 8 8 9 10 9 8 6 9 9 7 4 3 11 9 6 8 9 9 9 8 9 9 10 9 9 7 10 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 4 4 8 8 4 5 5 4 4 3 5 6 7 9 7 4 4 5 7 8 10 9 7 5 3 8 7 3 2 6 6 8 7 8 2 6 6 1 3 5 8 13 12 9 6 4 1 4 7 6 7 4 9 10 10 10 9
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 10 10 9 10 10 9 9 9 9 10 9 8 9 8 8 9 10 10 10 10 9 9 11 10 10 9 9 8 11 10 8 3 7 12 10 10 9 9 9 10 9 4 9 12 12 12 10 9 6 11 11 10 9 5 10 10 8 10 10 9 10 9 10 10 4 5 8 9 7 7 9 11 11 6 5 12 13 8 4 10 9 9 9 8 10 10 9 9 8 5 11 9 9 9 9 9 9 9 9 9 10 10 9 9 10 9 9 10 6 1 4 10 4 1 2 3 4 3 3 2 1 2 4 4 8 11 11 8 11 13 10 10 6 4 7 5 5 7 7 8 9 11 5 5 5 4 1 5 7 10 10 7 4 1 1 2 5 4 4 6 7 10 10 11 11 13
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 9 9 10 10 9 9 9 10 9 10 10 9 9 11 10 10 10 10 10 9 9 10 10 10 10 10 8 10 10 8 2 10 11 9 10 10 10 9 10 8 7 12 9 9 9 9 9 6 11 10 10 10 5 4 7 8 11 10 9 10 10 10 10 8 8 8 7 6 10 10 10 9 5 8 12 9 8 5 12 10 9 9 9 10 10 9 9 7 6 12 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 2 2 8 7 2 7 10 12 13 13 11 10 8 6 3 3 2 3 5 7 10 9 10 4 2 4 8 8 9 8 9 9 9 5 5 4 4 4 6 9 12 12 8 5 1 2 4 7 8 8 11 14 8 8 9 11 12 11
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 8 9 10 9 9 9 9 10 10 10 10 9 9 10 9 9 10 9 9 8 5 4 9 8 5 4 11 12 10 9 10 9 9 8 4 10 10 9 10 10 7 9 8 10 9 10 10 4 5 8 6 9 10 9 10 9 9 10 9 9 10 4 9 11 10 9 8 3 11 10 9 7 6 13 9 9 9 9 10 9 9 6 6 6 8 9 9 9 9 9 9 9 9 10 8 8 9 10 9 9 9 8 1 4 9 9 12 13 13 14 12 11 9 11 7 10 12 12 9 8 6 2 6 8 8 3 2 4 9 11 11 11 11 8 8 8 8 5 7 8 10 13 14 9 7 8 7 8 9 10 9 9 13 14 9 8 11 11 7 5
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 10 10 9 10 9 9 9 9 9 6 5 9 10 6 9 9 10 9 9 9 7 4 8 12 12 7 3 10 14 12 9 9 9 9 9 6 7 12 10 9 9 9 7 11 9 10 11 12 10 6 6 10 10 10 7 8 9 10 9 9 9 9 7 3 10 8 7 9 5 7 13 9 8 3 11 11 9 9 7 8 10 9 7 4 8 4 7 9 9 9 9 9 9 9 10 9 7 11 9 9 9 9 9 6 0 6 8 12 14 14 12 11 9 10 9 9 7 9 11 10 5 10 10 8 8 4 1 0 0 6 12 13 10 9 10 4 9 9 9 9 9 10 13 14 13 6 5 10 12 12 13 9 6 9 12 10 9 4 5 2 1 5
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9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 8 9 9 9 8 9 10 8 7 10 10 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 8 3 6 11 11 11 9 8 6 5 5 8 10 9 8 8 7 7 3 3 10 9 9 6 2 6 10 9 10 10 11 10 10 8 10 10 7 9 8 7 7 9 8 7 6 7 12 12 11 6 6 7 8 6 6 9 6 4 4 7 10 12 13 12 10 10 11 9 2 8 7 9 11 10 11 12 13 10 8 12 6 1 7 8 11 13 9 10 12 14 14 13 10 10 8 2 8 13 14 11 11 8 4 3 1 2 9 5 1 4 7 10 12 7 10 9 9 7 4 8 9 9 9 10 10 11 12 12 10 9 10 11 10 11 10 9 6 6 7 8 7 4 4 3
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9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 10 10 10 10 9 10 9 8 9 10 10 9 10 11 9 9 9 9 9 9 9 9 9 9 9 8 7 8 9 7 5 7 10 11 11 10 11 11 10 11 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 10 10 9 9 9 9 9 9 9 9 9 11 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 8 3 8 10 9 7 2 6 9 9 9 10 9 10 10 9 9 10 6 8 8 11 14 10 9 6 4 8 13 13 10 10 11 9 4 3 11 14 11 9 10 3 6 13 12 11 11 8 6 4 1 4 8 6 7 8 10 9 9 10 11 5 3 5 8 10 6 11 9 9 10 10 11 12 12 12 13 11 12 12 10 10 10 9 11 10 9 9 9 9 9 9
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 10 10 9 10 9 9 9 9 7 10 10 9 10 10 10 9 9 9 9 9 9 9 9 9 8 8 7 8 9 9 6 7 10 12 12 11 11 11 10 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 2 8 10 10 7 9 13 11 7 7 8 9 10 10 10 9 9 4 4 10 12 9 4 3 2 6 12 12 10 9 9 8 5 4 4 13 13 9 9 7 2 12 12 9 9 10 11 7 2 2 7 8 8 9 10 10 12 10 11 8 7 5 8 10 6 11 8 4 9 11 12 9 11 8 10 13 12 12 12 8 12 12 10 11 9 9 9 9 9 9 9
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9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 8 9 9 10 9 10 10 11 10 9 10 9 9 10 9 8 9 8 8 9 9 9 9 10 9 8 8 9 8 7 8 7 4 7 12 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 10 9 9 9 12 12 10 9 8 9 9 7 8 9 9 9 9 9 10 9 5 5 10 12 11 8 9 9 11 12 4 2 8 11 13 12 10 11 9 8 4 3 4 9 12 13 13 8 4 4 4 4 8 9 6 3 6 12 11 12 12 10 6 5 8 8 7 7 8 7 8 9 10 10 10 10 10 9 10 10 10 8 10 9 11 10 8 5 5 5 6 8 8 8 9 9 9
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 10 10 10 10 10 9 9 9 9 10 10 10 9 9 10 9 9 9 9 9 10 9 8 8 9 8 8 9 6 2 6 9 10 8 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 5 8 9 9 9 9 9 9 9 9 8 5 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 7 5 11 10 9 9 9 8 3 8 11 14 11 7 9 8 9 6 8 4 4 8 13 12 10 8 9 7 5 5 9 6 10 7 4 3 2 3 3 4 3 6 4 3 5 9 11 8 8 8 9 3 3 1 1 3 5 8 8 9 10 9 10 11 11 10 9 9 10 8 7 6 7 8 8 8 6 6 7 8 5 4 5 7 9 8
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9 9 9 9 9 9 9 9 10 9 9 8 8 9 9 9 9 10 10 10 9 9 9 9 9 8 9 9 10 10 9 9 9 10 9 9 8 9 10 8 6 8 8 6 7 9 9 9 10 11 13 13 11 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 11 11 9 9 9 9 9 9 9 9 9 9 11 11 10 10 10 10 10 9 8 9 9 10 9 9 9 9 7 10 9 8 8 4 10 9 7 9 6 12 13 9 7 10 9 7 6 9 11 6 2 4 8 9 8 7 3 2 6 9 7 2 0 4 11 13 14 12 11 12 12 13 11 9 8 5 3 2 2 1 3 3 3 4 7 6 8 7 9 11 12 11 9 8 9 10 10 9 9 9 9 9 9 9 9 7 8 8 9 8 8 9 9 9 9 7 5
9 9 9 9 9 9 9 9 10 9 8 9 9 9 9 9 10 10 9 9 10 9 9 9 9 9 9 9 9 8 9 9 10 9 9 9 9 8 8 7 8 9 9 10 11 12 11 10 11 10 10 9 9 9 9 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 10 9 9 9 9 9 8 9 8 10 6 7 9 8 11 6 4 8 9 10 9 8 9 7 7 8 9 12 9 6 7 8 8 9 7 4 3 7 11 11 6 4 5 7 12 14 13 8 5 4 5 6 6 7 4 1 3 6 7 5 5 7 7 6 6 8 8 9 12 12 8 7 7 9 9 10 10 9 9 9 9 9 9 9 8 8 7 9 9 9 9 10 11 10 11 11 8
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9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 8 10 9 9 10 9 9 9 9 9 10 9 9 6 7 12 9 7 12 9 11 8 10 10 10 9 9 9 10 9 10 9 10 10 10 10 9 9 10 8 9 9 9 9 7 4 12 9 9 9 9 9 9 9 9 8 9 9 9 7 11 10 9 9 9 9 9 9 10 9 10 10 9 10 9 9 9 8 8 2 9 10 9 9 9 9 9 9 9 9 10 10 9 9 9 7 11 12 11 12 9 3 8 11 13 9 9 9 9 9 9 9 9 10 10 9 7 5 3 3 10 9 9 9 9 9 9 8 3 6 3 6 5 2 4
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 10 8 9 9 9 9 9 10 9 9 9 9 10 9 9 9 9 8 9 9 9 8 10 10 10 10 10 10 10 10 9 10 9 9 7 10 11 9 10 10 8 11 7 9 10 9 9 9 8 11 10 10 9 9 10 10 9 9 10 9 8 9 9 10 9 7 6 12 9 9 9 9 9 9 9 9 8 9 9 7 6 11 9 9 9 9 9 9 9 9 9 10 10 9 10 9 10 9 7 3 4 11 11 9 9 9 9 9 9 9 10 8 9 9 9 9 10 9 9 9 8 7 2 7 9 11 8 8 7 4 7 9 9 9 10 9 9 8 5 4 7 10 10 9 9 9 9 9 6 5 3 4 7 3 4 3
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 10 10 9 9 10 9 9 10 9 10 9 9 9 9 9 9 9 9 9 10 10 9 9 9 7 10 8 7 5 9 10 10 10 9 9 9 10 10 9 9 9 6 9 10 9 10 9 5 8 4 9 10 9 9 10 9 10 10 10 10 10 10 9 8 9 10 9 8 8 9 10 9 6 4 9 9 9 9 9 9 9 9 9 9 9 9 8 10 10 9 9 10 9 9 9 9 9 9 10 10 9 9 9 9 8 7 4 8 13 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 6 5 3 4 1 4 8 9 3 2 2 1 5 5 9 9 9 9 3 4 6 3 12 10 10 10 9 9 7 9 6 2 6 7 7 4 6 3
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 10 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 10 9 9 9 9 5 7 8 10 8 10 10 10 10 10 8 10 9 9 9 8 4 3 10 9 9 9 7 8 8 8 12 10 9 9 10 10 10 10 10 9 10 9 9 8 10 9 9 7 8 9 9 8 5 5 12 10 9 9 9 9 9 9 8 10 9 9 8 10 10 9 9 10 9 9 9 9 9 10 10 9 9 9 10 9 9 8 4 6 12 10 9 9 9 9 9 9 10 10 9 9 9 9 8 6 2 2 2 2 1 3 2 8 10 5 2 1 2 6 5 9 7 4 7 2 7 2 4 10 11 10 10 9 4 2 6 4 4 4 5 6 3 6 5
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 10 10 10 9 9 9 9 10 9 9 9 9 9 9 9 10 10 9 8 9 8 9 9 8 6 11 12 10 8 6 10 9 10 9 9 9 9 9 8 3 5 9 10 8 7 4 5 11 10 10 9 10 9 8 9 10 9 10 9 9 10 8 8 9 10 9 8 6 9 9 7 4 3 11 9 6 8 9 9 9 8 9 9 10 9 9 7 10 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 4 4 8 8 4 5 5 4 4 3 5 6 7 9 7 4 4 5 7 8 10 9 7 5 3 8 7 3 2 6 6 8 7 8 2 6 6 1 3 5 8 13 12 9 6 4 1 4 7 6 7 4 9 10 10 10 9
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 10 10 9 10 10 9 9 9 9 10 9 8 9 8 8 9 10 10 10 10 9 9 11 10 10 9 9 8 11 10 8 3 7 12 10 10 9 9 9 10 9 4 9 12 12 12 10 9 6 11 11 10 9 5 10 10 8 10 10 9 10 9 10 10 4 5 8 9 7 7 9 11 11 6 5 12 13 8 4 10 9 9 9 8 10 10 9 9 8 5 11 9 9 9 9 9 9 9 9 9 10 10 9 9 10 9 9 10 6 1 4 10 4 1 2 3 4 3 3 2 1 2 4 4 8 11 11 8 11 13 10 10 6 4 7 5 5 7 7 8 9 11 5 5 5 4 1 5 7 10 10 7 4 1 1 2 5 4 4 6 7 10 10 11 11 13
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 9 9 10 10 9 9 9 10 9 10 10 9 9 11 10 10 10 10 10 9 9 10 10 10 10 10 8 10 10 8 2 10 11 9 10 10 10 9 10 8 7 12 9 9 9 9 9 6 11 10 10 10 5 4 7 8 11 10 9 10 10 10 10 8 8 8 7 6 10 10 10 9 5 8 12 9 8 5 12 10 9 9 9 10 10 9 9 7 6 12 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 2 2 8 7 2 7 10 12 13 13 11 10 8 6 3 3 2 3 5 7 10 9 10 4 2 4 8 8 9 8 9 9 9 5 5 4 4 4 6 9 12 12 8 5 1 2 4 7 8 8 11 14 8 8 9 11 12 11
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9 9 9 9 9 9 9 9 9 9 9 10 9 8 8 10 9 10 9 8 8 9 10 9 8 9 9 8 9 10 9 9 9 9 10 9 9 9 9 9 9 10 10 9 8 8 9 9 7 6 8 5 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 7 5 6 9 9 9 9 9 5 10 11 9 9 9 10 9 9 10 8 5 5 5 10 9 9 10 11 13 6 4 4 4 6 9 9 12 14 12 5 6 6 1 2 6 11 13 12 9 8 8 7 8 9 7 10 12 12 10 13 14 12 6 6 8 8 10 9 8 8 8 9 10 10 10 8 11 12 11 12 9 10 10 11 12 11 8 8 9 9 9 9 9 9 9 9
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9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 11 10 10 9 9 9 8 9 9 9 10 9 10 8 10 9 9 8 8 9 9 8 7 8 8 8 8 7 6 5 5 9 11 13 11 10 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 8 11 9 9 9 9 9 9 9 9 8 8 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 9 9 8 6 9 9 9 9 3 5 11 12 9 6 10 9 7 4 6 11 8 2 7 10 10 8 7 5 2 3 10 7 2 4 6 5 7 8 9 9 9 10 12 9 11 11 13 10 8 7 6 5 2 3 2 4 8 7 7 8 10 10 11 10 10 10 10 10 10 10 9 8 9 8 10 8 8 6 9 8 6 7 8 8 9 9 7
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