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| {$A+,B-,D+,E+,F-,G-,I+,L+,N-,O-,P-,Q+,R+,S+,T-,V+,X+}
{$M 16384,0,655360}
const
MaxN = 100;
FileIn = 'schools.dat';
FileOut = 'schools.sol';
type
PList = ^TList;
TList = record
Ver, Leng : integer;
Next : PList;
end;
var
A : array [1..MaxN, 1..MaxN] of integer;
{ Adjacency matrix for graph}
Dist : array [1..MaxN,1..2] of integer;
BestTree : array [1..MaxN] of PList;
{ Each element of array cotains a reference to list of the verteses that are reachable from the vertex with number equal to the index of element}
Dynamic : array [1..MaxN, 1..MaxN] of integer;
{ Array contains matrix of maximal edge's length at first spannig tree}
{List : array [1..(MaxN*(MaxN-1) div 2), 1..3] of integer;}
{ Array contains the list of edges
1 - first vertex of edge
2 - second vertex of edge
3 - length of current edge
4 - value of this element set to '1' if the edge is usedat first spanning tree}
N, M : integer; {the number of vertex, and the number of edges}
FirstAnswer, SecondAnswer : integer; {Answers}
Fi, Fo : Text; {Input and Output file handlers}
Root : integer; { Global variable that used for build of dynamic array}
{Testing procedures}
procedure PrintDynamic;
var i,j : integer;
begin
WriteLn('--- Dynamic ------------');
for i:=1 to n do
begin
for j:=1 to n do
Write(Dynamic[i,j]:4);
WriteLn;
end;
end;
{Working procedures}
{work with list}
procedure ListAdd(i, v, l : integer);
var
p : PList;
begin
New(p);
P^.Next:=BestTree[i];
P^.Ver:=v;
P^.Leng:=l;
BestTree[i]:=P;
end;
procedure ListDispose(p : PList);
begin
if p=nil then exit;
ListDispose(p^.Next);
Dispose(p);
end;
procedure BestTreeDispose;
var i : integer;
begin
for i:=1 to n do
ListDispose(BestTree[i]);
end;
procedure BuildDist;
var i : integer;
begin
Dist[1,1]:=-1;
Dist[1,2]:=-1;
for i:=2 to N do
begin
Dist[i,1]:=A[1,i];
Dist[i,2]:=1;
end;
end;
function MinInt (a, b : integer) : integer;
begin if a<b then MinInt:=a else MinInt:=b;
end;
function MaxInt (a, b : integer) : integer;
begin if a>b then MaxInt:=a else MaxInt:=b;
end;
procedure Init;
var i,x,y,l,j : integer;
begin
for i:=1 to MaxN do BestTree[i]:=nil;
FillChar(A, SizeOf(A), 0); {0 = infinty}
FillChar(Dist, SizeOf(Dist), 0); {0 = infinty}
FillChar(Dynamic, SizeOf(Dynamic), 0);
Assign(Fi, FileIn);
Reset(Fi);
Readln(Fi, N, M);
for i:=1 to M do
begin
ReadLn(Fi, y, x, l);
A[y, x]:=l;
A[x, y]:=l;
end;
Close(Fi);
SecondAnswer:=0;
end;
procedure BuildSpanningTree;
var i,j, MinPos : integer;
begin
FirstAnswer:=0;
BuildDist;
for i:=2 to n do
begin
MinPos:=0;
for j:=1 to n do
if Dist[j, 1]>0 then
if (MinPos=0) then MinPos:=j else
if Dist[j, 1]<Dist[MinPos, 1] then MinPos:=j;
FirstAnswer:=FirstAnswer + Dist[MinPos, 1];
ListAdd(MinPos, Dist[MinPos, 2], Dist[MinPos, 1]);
ListAdd(Dist[MinPos, 2], MinPos, Dist[MinPos, 1]);
Dynamic[MinPos, Dist[MinPos, 2]]:=Dist[MinPos, 1];
Dynamic[Dist[MinPos, 2], MinPos]:=Dist[MinPos, 1];
A[MinPos, Dist[MinPos, 2]]:=-1;
A[Dist[MinPos, 2], MinPos]:=-1;
Dist[MinPos, 1]:=-1;
Dist[MinPos, 2]:=-1;
for j:=1 to n do
if Dist[j, 1]>-1 then
if Dist[j, 1]=0 then
begin
Dist[j, 1]:=A[MinPos, j];
Dist[j, 2]:=MinPos;
end else
if (A[j, MinPos]>0)and(Dist[j, 1]>A[j, MinPos]) then
begin
Dist[j, 1]:=A[MinPos, j];
Dist[j, 2]:=MinPos;
end;
end;
end;
procedure BuildDynamic(Curr, Prev : integer);
var
i : integer;
p : PList;
begin
p:=BestTree[Curr];
while p<>nil do
begin
if (p^.Ver <> Prev) then
begin
Dynamic[Root, p^.Ver]:=MaxInt(p^.Leng, Dynamic[Root, Curr]);
BuildDynamic(p^.Ver, Curr);
end;
p:=p^.Next;
end;
end;
procedure LookForEdge;
var i, j, Calc : integer;
begin
SecondAnswer:=32000;
for i:=1 to N do
for j:=1 to N do
if A[i, j]>0 then
begin
Calc:=(FirstAnswer-Dynamic[i, j]) + A[i, j];
if SecondAnswer>Calc then SecondAnswer:=Calc;
end;
end;
procedure Run;
begin
{first ostov; algorith Prima}
BuildSpanningTree;
{second ostov}
for Root:=1 to n do
BuildDynamic(Root, Root);
{PrintDynamic;} {Test}
LookForEdge;
end;
procedure Done;
begin
BestTreeDispose;
Assign(Fo, FileOut);
Rewrite(Fo);
WriteLn(Fo, FirstAnswer, ' ', SecondAnswer);
Close(Fo);
end;
begin
Init; {Initialization}
Run; {Calculation}
Done; {Printing answer}
end. |
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