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Cod sursa(job #63145)
{generarea permutarilor}
program backtracking;
type sir=array[1..1000] of integer;
var st:sir;
f,g:text;
p,q:array[1..1000] of real;
n,k,k1,i:integer;
as,ev:boolean;
s:real;
nr:longint;
procedure citire;
var i:integer;
begin
assign(f,'dezastru.in');reset(f);
readln(f,n,k1);
for i:=1 to n do read(f,p[i]);
close(f);
end;
procedure initializare(k:integer;var st:sir);
begin
st[k]:=0;
end;
procedure succesor(var as:boolean;var st:sir;k:integer);
begin
if st[k]<n then
begin
st[k]:=st[k]+1;
as:=true;
end
else as:=false;
end;
procedure validare(var ev:boolean;st:sir;k:integer);
var i:integer;
begin
ev:=true;
for i:=1 to k-1 do
if st[k]=st[i] then ev:=false;
end;
function solutie(k:integer):boolean;
begin
solutie:=(k=n);
end;
procedure tiparire;
var i:integer;
begin
inc(nr);
q[nr]:=1;
for i:=1 to k1 do q[nr]:=q[nr]*p[st[i]];
end;
BEGIN
k:=1;
citire;
nr:=0;
while k>0 do
begin
initializare(k,st);
repeat
succesor(as,st,k);
if as then validare(ev,st,k);
until (not as) or (as and ev);
if as then
if solutie(k) then tiparire
else
begin
k:=k+1;
initializare(k,st);
end
else k:=k-1;
end;
s:=0;
for i:=1 to nr do s:=s+q[i]/nr;
assign(g,'dezastru.out');rewrite(g);
writeln(g,s:0:6);
close(g);
END.