diff --git a/Makefile b/Makefile
index 1aaed2f..89f5759 100644
--- a/Makefile
+++ b/Makefile
@@ -3,30 +3,31 @@
 #       variables names       # 		value			 | .h in includes/
 # - - - - - - - - - - - - - - # ! name is case sensitive | ! use VPATH only for .c
 
-NAME   = pushswap
+NAME	=	pushswap
 
-CC     = gcc
+CC		=	gcc
 
-VPATH  = srcs
+VPATH	=	srcs
 
-IDIR   = ./includes
+IDIR	=	./includes
 
-_DEPS  = 
-DEPS   = $(_DEPS:%.h=$(IDIR)/%.h)
+_DEPS	=
+DEPS	=	$(_DEPS:%.h=$(IDIR)/%.h)
 # used to check if a .h has been modify when execute $NAME rule
 
-LDIR   = ./libft
-_LIBS  = libft.a
-LIBS   = $(_LIBS:lib%.a=%)
+LDIR	=	./libft
+_LIBS	=	libft.a
+LIBS	=	$(_LIBS:lib%.a=%)
 
-SRCS   = pushswap.c
+SRCS	=	pushswap.c \
+			error.c
 
-ODIR   = ./builds
-OBJS   = $(SRCS:%.c=$(ODIR)/%.o)
+ODIR	=	./builds
+OBJS	=	$(SRCS:%.c=$(ODIR)/%.o)
 
-CFLAGS = -I$(IDIR) -g3 -Wall -Wextra -Werror
+CFLAGS	=	-I$(IDIR) -g3 -Wall -Wextra -Werror
 
-LFLAGS = -L$(LDIR) -l$(LIBS)
+LFLAGS	=	-L$(LDIR) -l$(LIBS)
 
 
 
diff --git a/README.md b/README.md
index 2173679..a6dfb3e 100644
--- a/README.md
+++ b/README.md
@@ -41,10 +41,10 @@
        2000            0     3 973 224  Gravity Sort
        2000            0         6 000  Counting Sort
        2000            0         4 000  Pigeonhole Sort
-                                        Radix LSD Sort (Base 4)
-                                        American Flag Sort (128 Buckets)
-                                        Radix LSD In-Place Sort (Base 10)
-                                        Radix LSD In-Place Sort (Base 2)
+       2000            0        12 000  Radix LSD Sort (Base 4)
+       2000            0         4 220  American Flag Sort (128 Buckets)
+       2048            0    19 207 376  Radix LSD In-Place Sort (Base 10)
+       2000            0    34 562 144  Radix LSD In-Place Sort (Base 2)
                                         Radix MSD Sort (Base 4)
                                         Radix MSD Sort (Base 2)
                                         Shatter Sort
diff --git a/builds/error.o b/builds/error.o
new file mode 100644
index 0000000..cfffd51
Binary files /dev/null and b/builds/error.o differ
diff --git a/builds/pushswap.o b/builds/pushswap.o
new file mode 100644
index 0000000..a13f70c
Binary files /dev/null and b/builds/pushswap.o differ
diff --git a/includes/pushswap.h b/includes/pushswap.h
index 1b06c5e..4794109 100644
--- a/includes/pushswap.h
+++ b/includes/pushswap.h
@@ -1,48 +1,58 @@
 
 #ifndef PUSH_SWAP_H
 # define PUSH_SWAP_H
-# include "libft.h"
-// # include "../libft/includes/libft.h"
+# include "../libft/includes/libft.h"
 # include <unistd.h>	// read(), write(), sleep()
 # include <stdlib.h>	// malloc(), free(), exit(), atoi()
 
 
-typedef struct	s_list
+typedef struct		s_stack
 {
 	int				n;
 	struct s_list	*next;
-}				t_list;
+}					t_stack;
+
+void	ps_error(int i);
+void	ps_clean(t_stack *stack, int i);
 
 /*
 ** swap
 */
+/*
 int		swap(t_list **list);
 int		sa();
 int		sb();
 int		ss();
+*/
 
 /*
 ** push
 */
+/*
 int		push(t_list **dst, t_list **src);
 int		pa();
 int		pb();
 int		pp();
+*/
 
 /*
 ** rotate
 */
+/*
 int		rotate(t_list **list);
 int		ra();
 int		rb();
 int		rr();
+*/
 
 /*
 ** reverse rotate
 */
+/*
 int		reverse_rotate(t_list **list);
 int		rra();
 int		rrb();
 int		rrr();
+*/
 
 #endif
diff --git a/pushswap b/pushswap
new file mode 100755
index 0000000..edf43a7
Binary files /dev/null and b/pushswap differ
diff --git a/pushswap_subject_fr.pdf b/pushswap_subject_fr.pdf
new file mode 100644
index 0000000..8becd4d
Binary files /dev/null and b/pushswap_subject_fr.pdf differ
diff --git a/srcs/error.c b/srcs/error.c
new file mode 100644
index 0000000..9cfaea6
--- /dev/null
+++ b/srcs/error.c
@@ -0,0 +1,22 @@
+
+#include "pushswap.h"
+
+void	ps_clean(t_stack *stack, int err)
+{
+	(void)stack;
+	ps_error(err);
+}
+
+void	ps_usage(void)
+{
+	ft_printf("usage\n");
+}
+
+void	ps_error(int err)
+{
+	if (err == 1)
+		ps_usage();
+	if (err == 2)
+		ft_printf("error\n");	
+	exit(0);
+}
diff --git a/srcs/pushswap.c b/srcs/pushswap.c
index e69de29..b8bb68b 100644
--- a/srcs/pushswap.c
+++ b/srcs/pushswap.c
@@ -0,0 +1,32 @@
+
+#include "pushswap.h"
+
+void	is_valid(int ac, char **av)
+{
+	if (ac < 2)
+		ps_error(1);
+	(void)av;
+}
+
+t_stack	*init_stack(int ac, char **av)
+{
+	(void)ac;
+	(void)av;
+	t_stack		*start;
+
+	if (!(start = ft_calloc(1, sizeof(t_stack))))
+		ps_clean(start, 2);
+	return (start);
+}
+
+int		main(int ac, char **av)
+{
+	t_stack		*stack;
+	//t_list		*result;
+
+	is_valid(ac, av); // check if usage and list are correct
+	stack = init_stack(ac, av);
+	// result = sort_algo(stack);
+	return(0);
+}
+