diff --git a/ppvoisin.ml b/ppvoisin.ml
index d399666..7f34e71 100644
--- a/ppvoisin.ml
+++ b/ppvoisin.ml
@@ -556,4 +556,152 @@ let ppvmoinsnaif ns xx yy =
   cherche plus loin autour pour trouver le résultat*)
 maxrpz (ppvmoinsnaif 50 xa ya) 100_000;;
 maxrpz (ppvmoinsnaif 500 xb yb) 1_000_000;;
-maxrpz (ppvmoinsnaif 1000 xc yc) 1_000_000;;
\ No newline at end of file
+maxrpz (ppvmoinsnaif 1000 xc yc) 1_000_000;;
+
+
+(* Q8 bis *)
+
+let dessineSurMatrice xx n0 =
+	let out = Array.make_matrix n0 n0 (-1) in
+	let n = Array.length xx in
+	for i=0 to (n-1)
+	do
+		let cox = xx.(i).(0) and coy = xx.(i).(1) in
+		if out.(cox).(coy) = -1 then out.(cox).(coy) <- i
+	done;
+	out;;
+
+let rec minlst l = match l with
+	| [] -> raise EmptyException
+	| [e] -> e
+	| e::s -> let o = minlst s in
+		min e o;;
+
+let ppvPositionnel0 dessin n0 y =
+	let cox,coy = y.(0),y.(1) in
+	if dessin.(cox).(coy)<>(-1) then dessin.(cox).(coy) else
+	let mins = ref [] in
+	for i=(if cox<>0 then -1 else 0) to (if cox<(n0-1) then 1 else 0) do
+	for j=(if coy<>0 then -1 else 0) to (if coy<(n0-1) then 1 else 0) do
+		let cc=dessin.(cox+i).(coy+j) in
+		if cc<>(-1) then empile mins cc
+	done
+	done;
+	minlst !mins;;
+
+let ppvPositionnel xx yy n0 =
+	let dessin = dessineSurMatrice xx n0 in
+	let m = Array.length yy in
+	let out = Array.make m (-1) in
+	for j=0 to (m-1) do
+		out.(j) <- ppvPositionnel0 dessin n0 yy.(j)
+	done;
+	out;;
+
+let maxreparr arr nm =
+	let n = Array.length arr in
+	let count = Array.make nm 0 in
+	for i=0 to (n-1) do
+		if arr.(i)<>(-1) then
+		count.(arr.(i)) <- count.(arr.(i))+1
+	done;
+	maxindex count;;
+	
+let xa,ya = getxy 2 100_000 10_000;;
+let xb,yb = getxy 2 1_000_000 100_000;;
+let xc,yc = getxy 2 1_000_000 1_000_000;;
+maxreparr (ppvPositionnel xa ya 1000) 100_000;;
+maxreparr (ppvPositionnel xb yb 1000) 1_000_000;;
+maxreparr (ppvPositionnel xc yc 1000) 1_000_000;;
+
+(* Question 9 *)
+
+let getxy d n m = 
+	let xx = Array.make n [||] in
+	let yy = Array.make m [||] in
+	for i=0 to (n-1)
+	do
+		xx.(i) <- Array.make d 0;
+		for k=0 to (d-1)
+		do
+			xx.(i).(k) <- (u ((i*d)+k)) mod 2
+		done
+	done;
+	for j=0 to (m-1) do
+		yy.(j) <- Array.make d 0;
+		for k=0 to (d-1)
+		do
+			yy.(j).(k) <- (u ((n+j)*d+k)) mod 2
+		done
+	done;
+	(xx,yy);;
+
+let xa,ya = getxy 10 1000 1_000_000;;
+let xb,yb = getxy 10 10_000 1_000_000;;
+let xc,yc = getxy 20 1_000_000 1_000_000;;
+
+(* Au final, la distance max entre deux vecteurs, c'est la dimension *)
+
+let vectToInt x =
+	let d = Array.length x in
+	let sum = ref 0 in
+	for i=0 to d-1 do
+		sum := !sum + (x.(i))*(1 lsl i)
+	done;
+	!sum;;
+
+let vectsToInts xx =
+	let n = Array.length xx in
+	let out = Array.make n (-1) in
+	for i=0 to (n-1) do
+		out.(i) <- vectToInt xx.(i)
+	done;
+	out;;
+
+let xia,yia = (vectsToInts xa,vectsToInts ya);;
+let xib,yib = (vectsToInts xb,vectsToInts yb);;
+let xic,yic = (vectsToInts xc,vectsToInts yc);;
+
+let dessineSurLigne xx d =
+	let out = Array.make (1 lsl d) (-1) in
+	let n = Array.length xx in
+	for i=0 to (n-1)
+	do
+		if out.(xx.(i)) = -1 then out.(xx.(i)) <- i
+	done;
+	out;;
+
+let listeCopains x d =
+	let rec aux x d i l= 
+		if i=d 
+		then l
+		else aux x d (i+1) (((1 lsl i) lxor x)::l)
+	in aux x d 0 [];;
+
+let ppvBPositionnel0 dessin d y =
+	if dessin.(y)<>(-1) then dessin.(y) else (* Le cas où le plus proche voisin est déjà ici *)
+	let mins = ref [] in
+	for i=0 to d-1 do
+		let cc = dessin.((1 lsl i) lxor y) in
+		if cc<>(-1) then empile mins cc
+	done;
+	minlst !mins;;
+
+let ppvBPositionnel xx yy d =
+	let dessin = dessineSurLigne xx d in
+	let m = Array.length yy in
+	let out = Array.make m (-1) in
+	for j=0 to (m-1) do
+		out.(j) <- ppvBPositionnel0 dessin d yy.(j)
+	done;
+	out;;
+
+xa.(1);;
+vectToInt xa.(1);;
+dessineSurLigne xia 10;;
+ppvBPositionnel xib yib 10;;
+maxreparr (ppvBPositionnel xia yia 10) (1 lsl 10);;
+maxreparr (ppvBPositionnel xib yib 10) (1 lsl 20);;
+maxreparr (ppvBPositionnel xic yic 20) (1 lsl 20);;
+
+