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📄 ex.dpr

📁 tongji acm-online judge solution
💻 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[0..1,1..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;
procedure Main;
var
	i,j,k,l:TIndex;
	Cur:TIndex;
	Answer:TData;
begin
	Readln(N);
	for i:=1 to N do
		Readln(P[i].x,P[i].y);
	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
		Cur:=0;
		for i:=1 to N do
		begin
			Ptr[i]:=(i+k-1) mod N+1;
			F[Cur,i,S_Left]:=0;
			F[Cur,i,S_Right]:=0;
		end;
		for l:=2 to N do
		begin
			Cur:=1-Cur;
			for i:=1 to N-l+1 do
			begin
				j:=i+l-1;
				F[Cur,i,S_Left]:=Min(F[1-Cur,i+1,S_Left]+Dist[Ptr[i],Ptr[i+1]],F[1-Cur,i+1,S_Right]+Dist[Ptr[i],Ptr[j]]);
				F[Cur,i,S_Right]:=Min(F[1-Cur,i,S_Left]+Dist[Ptr[j],Ptr[i]],F[1-Cur,i,S_Right]+Dist[Ptr[j],Ptr[j-1]]);
			end;
		end;
		Answer:=Min(Answer,F[Cur,1,S_Left]);
	end;
	Writeln(Answer:0:3);
end;
begin
	Main;
end.

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