diff --git a/src/FFAlgorithm.ml b/src/FFAlgorithm.ml
index 185885a..6eade39 100644
--- a/src/FFAlgorithm.ml
+++ b/src/FFAlgorithm.ml
@@ -1,61 +1,94 @@
 open Graph
 open Tool
 
+type path = id list
 
 (* Create a list of pairs (origin,end) from a list of nodes *)
-let rec createArcFromNodes = function
-  | a -> []
-  | a :: b :: rest -> (a,b) :: (createArcsFromNodes (b :: rest))
+let rec create_arcs_from_nodes = function
+  | [] -> []
+  | a :: [] -> []
+  | a :: b :: rest -> (a,b) :: (create_arcs_from_nodes (b :: rest))
+  
 
 
 (* Return the minimum value of a path's arcs*)
-let getMinLabelFromPath (graph : int graph) (path : (id * id) list) =
-  let min = 999 in
-  List.foldleft
+let get_min_label_from_path (graph : int graph) (path : (id * id) list) =
+  let min = Some 999 in
+  List.fold_left
     (
       fun acu (id1, id2) -> 
-        let label = int_of_string (find_arc graph id1 id2) in 
-        if label < acu then acu = label
+        let label = find_arc graph id1 id2 in 
+        if label < acu then label else acu
     )
     min path
 
 
 (* Add a value to every arc of a path *)
-let addValueToArcs (graph : int graph) (path : (id * id) list) (value : int) = 
-  List.foldleft 
+let add_value_to_arcs (graph : int graph) (path : (id * id) list) (value : int) = 
+  List.fold_left 
     (
       fun acu (id1, id2) -> 
-        let vArc = find_arc graph id1 id2 in
-        add_arc acu (vArc + value) 
+        add_arc acu id1 id2 value    
     ) 
     graph path
 
 
 (* Reverse a path and its arc 
    ex :[(a, b);(b, c)] -> [(b,a);(c, b)] *)
-let revArcs (path : (id * id) list) =
+let rev_arcs (path : (id * id) list) =
   List.map (fun (id1, id2) -> (id2, id1)) path
 
 
-let fordFulkAlgorithm graph origin end = 
+(* Get the final graph after the FFalgorithm 
+  The label of every arc becomes "x/max_capacity" where x 
+  is the value of the opposite arc on the residual graph*)
+let get_final_graph (initGraph : int graph) (residualGraph : int graph) =
+  
+  (* First get the initial and residual graph as string graphs *)
+  let initGraphString = gmap initGraph string_of_int in
+  let residualGraphString = gmap residualGraph string_of_int in
+  let finalGraph = clone_nodes initGraph in
+  
+  (* For every arc in the initial graph, we get its label (aka max_capacity)
+    then, we get the label of the opposite arc in the residual graph. 
+    If it exists then the arc of the final graph gets the label "x/max_capacity",
+    "0/max_capacity" otherwise*)
+  e_fold initGraph
+  (
+    fun acu id1 id2 x ->
+    let label_arc = find_arc initGraphString id1 id2 in
+    let label_arc = (match label_arc with
+    |None -> "-1"
+    |Some x -> x) in
+    let label_rev_arc = find_arc residualGraphString id2 id1 in
+    match label_rev_arc with
+    |None -> new_arc acu id1 id2 ("0/"^label_arc) 
+    |Some x -> new_arc acu id1 id2 (""^x^"/"^label_arc)  
+
+  )
+  finalGraph
+
+
+
+(*let fordFulkAlgorithm graph origin end = assert false *)
 (* 
   let flow = 0 in
   While there's a path
     Find a path
-    let path = findPath graph origin end [] in
-    let arcs = createArcFromNodes path in
+    let path = xxxxx graph origin end [] in
+    let arcs = create_arcs_from_nodes path in
 
     Find the min value of the path
-    let min = getMinLabelFromPath graph arcs in
+    let min = get_min_label_from_path graph arcs in
 
     Substract the min to every arc of the path
-    graph = addValueToArcs graph arcs (-min) in
+    graph = add_value_to_arcs graph arcs (-min) in
 
     Get the reverse path
-    let reverse = revArcs arcs in
+    let reverse = rev_arcs arcs in
 
     Add the min to every arc of the reverse path
-    graph = addValueToArcs graph reverse min in
+    graph = add_value_to_arcs graph reverse min in
 
     Add the min to the flow
     flow = flow + min
diff --git a/src/FFAlgorithm.mli b/src/FFAlgorithm.mli
index a8a295a..5606d1e 100644
--- a/src/FFAlgorithm.mli
+++ b/src/FFAlgorithm.mli
@@ -1,4 +1,13 @@
 open Graph
 open Tool
 
-type path = id list
\ No newline at end of file
+type path = id list
+
+
+(* for testing purpose *)
+
+(* val rev_arcs: (id * id) list -> (id * id) list
+
+val add_value_to_arcs: int graph -> (id * id) list -> int -> int graph
+
+val get_final_graph: int graph -> int graph -> string graph *)
\ No newline at end of file
diff --git a/src/ftest.ml b/src/ftest.ml
index 7bdc64f..717d9ce 100644
--- a/src/ftest.ml
+++ b/src/ftest.ml
@@ -1,5 +1,6 @@
 open Gfile
 open Tool
+open FFAlgorithm
 
 let () =
 
@@ -25,7 +26,7 @@ let () =
   let graph = from_file infile in
 
   (* Rewrite the graph that has been read. *)
-  let () = write_file outfile (gmap graph (fun lbl -> string_of_int (int_of_string lbl *2) ) ) in
+  let () = write_file outfile graph in
   let () = export outfile graph in
   ()
 
diff --git a/src/tool.ml b/src/tool.ml
index 09b3f50..aa680f9 100644
--- a/src/tool.ml
+++ b/src/tool.ml
@@ -13,7 +13,7 @@ let gmap gr f =
   e_fold gr (fun acu id1 id2 x -> new_arc acu id1 id2 (f x)) new_graph 
 
 let add_arc g id1 id2 n =
-    let f=find_arc id1 id2 g in
+    let f = find_arc g id1 id2  in
     match f with
-   |None->new_arc g id1 id2 n
-   |Some x->new_arc g id1 id2 (n+x)
+    |None->new_arc g id1 id2 n
+    |Some x->new_arc g id1 id2 (n+x)