54 lines
1.9 KiB
OCaml
54 lines
1.9 KiB
OCaml
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open Format
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let premiers = [1;2;4;8;16;32;64;128;256;512;1024;2048;4096;8192];;
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let rec print_int_list l = match l with
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|[] -> printf "\n"
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|h::t -> begin printf "%d " h;print_int_list t end;;
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let print_sum l =
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let rec aux l = match l with
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| [] -> printf "\n"
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| h::t -> begin printf " + %d" h;aux t end in
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match l with
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|[] -> printf "0\n"
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|h::t -> begin printf "%d" h;aux t end;;
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let rec sum l = match l with
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| [] -> 0
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| h::t -> h + sum t;;
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let rec dans a l = match l with
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| [] -> false
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| h::t -> if h=a then true else dans a t ;;
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let rec retirer acc base modulo = match base with
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| [] -> acc
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| h::t -> if dans h modulo then retirer acc t modulo
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else retirer (h::acc) t modulo ;;
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let rec somme accn accl ban lim l = match l with
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| [] -> (accn,accl,true)
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| h::t -> if accn < lim then somme (accn+h) (h::accl) ban lim t
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else if dans (accn - lim) ban then somme (accn+h) (h::accl) ban lim t
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else (accn,accl,false);;
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let decomp n =
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let imp = ref [1] in
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let rec aux impp n =
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if dans n !imp then raise Not_found else
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if dans n premiers then [n] else
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let (a,l,f) = somme 0 [] !imp n premiers in
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print_int_list (n::a::0::l);
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match a - n with
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|0 -> l
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|d (*when d < n*) -> begin try retirer [] l (aux impp d) with
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| Not_found when f -> raise Not_found
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| Not_found -> begin imp:=(d::(!imp)); aux (d::impp) n end end
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(*|d -> raise Not_found*) in
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aux [1] n;;
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for i = 0 to sum premiers do
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try begin let d = decomp i in printf "%d = " i; print_sum d end with
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| Not_found -> printf "%d : Pas de decomposition\n" i done;;
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(*
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let max = ref 0 in
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let imax = ref 0 in
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for i = 0 to sum premiers do
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let c = ref 0 in
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try let a=sum (decomp c i) in printf "Oui :%d : %d\n" i !c with
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| Not_found -> printf "Non :%d : %d\n" i !c;
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if !c > !max then begin max := !c; imax := i end done;
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printf "%d : %d" !imax !max;; *)
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