📄 p198.dpr
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{$A8,B-,C+,D+,E-,F-,G+,H+,I+,J-,K-,L+,M-,N+,O+,P+,Q-,R-,S-,T-,U-,V+,W-,X+,Y+,Z1}
{$MINSTACKSIZE $00004000}
{$MAXSTACKSIZE $00100000}
{$IMAGEBASE $00400000}
{$APPTYPE GUI}
{$R+,Q+,S+}
Const
InFile = 'p198.in';
OutFile = 'p198.out';
Limit = 310;
minimum = 1e-6;
Type
Tcircle = record
x , y , r : extended;
end;
Tdata = array[1..Limit] of Tcircle;
Tmap = array[1..Limit , 1..Limit] of boolean;
Tvisited = array[1..Limit] of boolean;
Tstack = record
top : longint;
data : array[1..Limit] of longint;
end;
Var
data : Tdata;
map : Tmap;
visited ,
instack : Tvisited;
stack ,
path : Tstack;
startp : Tcircle;
N : longint;
answer : boolean;
procedure init;
var
i : longint;
begin
// assign(INPUT , InFile); ReSet(INPUT);
read(N);
for i := 1 to N do
read(data[i].x , data[i].y , data[i].r);
read(startp.x , startp.y , startp.r);
// Close(INPUT);
end;
function dist(p1 , p2 : Tcircle) : extended;
begin
dist := sqrt(sqr(p1.x - p2.x) + sqr(p1.y - p2.y));
end;
procedure creat_map;
var
i , j : longint;
begin
fillchar(map , sizeof(map) , 0);
for i := 1 to N do
for j := 1 to N do
if i <> j then
if data[i].r + data[j].r + startp.r * 2 > dist(data[i] , data[j]) + minimum then
map[i , j] := true;
end;
function zero(num : extended) : boolean;
begin
zero := (abs(num) <= minimum);
end;
function cross(p1 , p2 : Tcircle) : extended;
begin
cross := p1.x * p2.y - p1.y * p2.x;
end;
function in_poly(const path : Tstack; const p : Tcircle) : boolean;
var
v , p1 , p2: Tcircle;
b1 , b2 , b3 ,
ok : boolean;
i , sum : longint;
begin
v.y := 0; v.x := 1;
while true do
begin
ok := true;
for i := 1 to path.top do
begin
p1 := data[path.data[i]];
p1.x := p1.x - p.x; p1.y := p1.y - p.y;
if zero(cross(p1 , v)) then
begin
ok := false;
break;
end;
end;
if ok then break;
v.y := v.y + minimum;
v.x := sqrt(1 - sqr(v.y));
end;
sum := 0;
for i := 1 to path.top do
begin
p1 := data[path.data[i]]; p1.x := p1.x - p.x; p1.y := p1.y - p.y;
p2 := data[path.data[i + 1]]; p2.x := p2.x - p.x; p2.y := p2.y - p.y;
b1 := (cross(p1 , p2) >= 0); b2 := (cross(p1 , v) >= 0); b3 := (cross(v , p2) >= 0);
if (b1 = b2) and (b2 = b3) then
inc(sum);
end;
in_poly := odd(sum);
end;
function dfs(root : longint) : boolean;
var
i , j : longint;
begin
dfs := true;
inc(stack.top); stack.data[stack.top] := root;
instack[root] := true; visited[root] := true;
for i := 1 to N do
if map[root , i] then
if instack[i]
then begin
path.top := 0;
j := stack.top;
while stack.data[j] <> i do
begin
inc(path.top); path.data[path.top] := stack.data[j];
dec(j);
end;
inc(path.top); path.data[path.top] := stack.data[j];
path.data[path.top + 1] := path.data[1];
if (path.top >= 3) and in_poly(path , startp) then
exit;
end
else if not visited[i] and dfs(i) then
exit;
stack.data[stack.top] := 0; dec(stack.top);
instack[root] := false;
dfs := false;
end;
procedure work;
var
i : longint;
begin
creat_map;
fillchar(visited , sizeof(visited) , 0);
fillchar(instack , sizeof(instack) , 0);
stack.top := 0;
answer := false;
for i := 1 to N do
if not visited[i] then
if dfs(i) then
exit;
answer := true;
end;
procedure out;
begin
// assign(OUTPUT , OutFile); ReWrite(OUTPUT);
if answer
then writeln('YES')
else writeln('NO');
// Close(OUTPUT);
end;
Begin
init;
work;
out;
End.
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