📄 ex_mle.dpr
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program Ural_1143(Input,Output);
const
MaxN=200;
S_Left=0;
S_Right=1;
MaxValue=MaxLongint div 8;
type
TIndex=Longint;
TData=Extended;
TPoint=array[1..MaxN]of record
x,y:TData;
end;
TDistance=array[1..MaxN,1..MaxN]of TData;
TDP=array[1..MaxN,1..MaxN,0..1]of TData;
TPointer=array[1..MaxN]of TIndex;
var
N:TIndex;
P:TPoint;
//Dist:TDistance;
F:TDP;
Ptr:TPointer;
function Min(A,B:TData):TData;
begin
Result:=A;
if A>B then Result:=B;
end;
function Dist(i,j:TIndex):TData;
begin
Result:=Sqrt(Sqr(P[i].x-P[j].x)+Sqr(P[i].y-P[j].y));
end;
procedure Main;
var
i,j,k,l:TIndex;
Answer:TData;
begin
Readln(N);
for i:=1 to N do
begin
Readln(P[i].x,P[i].y);
F[i,i,S_Left]:=0;
F[i,i,S_Right]:=0;
end;
{for i:=1 to N do
for j:=1 to N do
Dist[i,j]:=Sqrt(Sqr(P[i].x-P[j].x)+Sqr(P[i].y-P[j].y));}
Answer:=MaxValue;
for k:=0 to N-1 do
begin
for i:=1 to N do
Ptr[i]:=(i+k-1) mod N+1;
for l:=2 to N do
for i:=1 to N-l+1 do
begin
j:=i+l-1;
F[i,j,S_Left]:=Min(F[i+1,j,S_Left]+Dist(Ptr[i],Ptr[i+1]),F[i+1,j,S_Right]+Dist(Ptr[i],Ptr[j]));
F[i,j,S_Right]:=Min(F[i,j-1,S_Left]+Dist(Ptr[j],Ptr[i]),F[i,j-1,S_Right]+Dist(Ptr[j],Ptr[j-1]));
end;
Answer:=Min(Answer,F[1,N,S_Left]);
end;
Writeln(Answer:0:3);
end;
begin
Main;
end.
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