QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#328773 | #7862. Land Trade | ucup-team134 | AC ✓ | 1198ms | 16940kb | C++17 | 5.6kb | 2024-02-16 06:22:04 | 2024-02-16 06:22:04 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define ldb double
#define ll long long
#define pb push_back
const ldb eps=1e-9;
struct pt{
ldb x,y;
pt():x(0),y(0){}
pt(ldb a,ldb b):x(a),y(b){}
};
pt operator + (pt a,pt b){return pt(a.x+b.x,a.y+b.y);}
pt operator - (pt a,pt b){return pt(a.x-b.x,a.y-b.y);}
pt operator * (pt a,ldb b){return pt(a.x*b,a.y*b);}
pt operator / (pt a,ldb b){return pt(a.x/b,a.y/b);}
ldb dot(pt a,pt b){return a.x*b.x+a.y*b.y;}
ldb cross(pt a,pt b){return a.x*b.y-a.y*b.x;}
struct line{
pt v;
ldb c;
line(pt a,pt b){
v=b-a;
c=cross(v,a);
}
line(ldb a,ldb b,ldb _c){
v=pt(b,-a);
c=-_c;
}
bool in_order(pt P, pt Q, pt R){
ldb p=dot(P,v);
ldb q=dot(Q,v);
ldb r=dot(R,v);
return p<=q && q<=r;
}
bool is_on(pt P){
return abs(cross(v,P)-c)<eps;
}
};
bool paralel(line a,line b){
return cross(a.v,b.v)==0;
}
pt inter(line a,line b){
pt ans=(a.v*b.c-b.v*a.c)/cross(b.v,a.v);
return ans;
}
struct expr{
virtual bool check(pt p) = 0;
};
struct func : public expr{
ll a,b,c;
func(ll x,ll y,ll z):a(x),b(y),c(z){}
ldb eval(pt p){
return a*p.x+b*p.y+c;
}
bool check(pt p) override {
return eval(p)>=0;
}
};
struct op : public expr{
char o;
expr* l;
expr* r;
op(char _o, expr* _l, expr* _r=nullptr):o(_o),l(_l),r(_r){}
bool check(pt p) override {
if(o=='!')return !l->check(p);
else if(o=='&')return l->check(p) && r->check(p);
else if(o=='|')return l->check(p) || r->check(p);
else if(o=='^')return l->check(p) ^ r->check(p);
return false;
}
};
string s;
int Find(int from,char c){
while(s[from]!=c)from++;
return from;
}
vector<line> lines;
expr* Parse(int l,int r){
if(s[l]=='['){
int ptr=Find(l+1,',');
ll a=stoi(s.substr(l+1,ptr-l-1));
l=ptr;
ptr=Find(l+1,',');
ll b=stoi(s.substr(l+1,ptr-l-1));
l=ptr;
ptr=Find(l+1,']');
ll c=stoi(s.substr(l+1,ptr-l-1));
lines.pb(line(a,b,c));
return new func(a,b,c);
}
int bal=0;
for(int i=l;i<=r;i++){
if(s[i]=='(')bal++;
if(s[i]==')')bal--;
if(bal==1 && (s[i]=='!' || s[i]=='^' || s[i]=='&' || s[i]=='|')){
if(s[i]=='!'){
return new op(s[i], Parse(i+1,r-1));
}else{
return new op(s[i], Parse(l+1,i-1), Parse(i+1,r-1));
}
}
}
}
ldb area(pt a,pt b,pt c){
ldb ans=cross(a,b)+cross(b,c)+cross(c,a);
return abs(ans)/2;
}
ldb area(vector<pt> poly){
ldb ans=0;
for(int i=0;i<poly.size();i++){
int j=(i+1)%poly.size();
ans+=cross(poly[i],poly[j]);
}
return abs(ans)/2;
}
pt GetCentroid(vector<pt> poly){
pt ans(0,0);
ldb q=0;
for(int i=0;i<poly.size();i++){
int j=(i+1)%poly.size();
ldb cr=cross(poly[i],poly[j]);
ans=ans+(poly[i]+poly[j])/3*cr;
q+=cr;
}
return ans/q;
}
vector<pt> Clean(vector<pt> poly){
/*vector<pt> ans;
for(int i=0;i<poly.size();i++){
int j=(i+1)%poly.size();
pt diff=poly[i]-poly[j];
if(abs(diff.x)<eps && abs(diff.y)<eps){
continue;
}
ans.pb(poly[i]);
}
return ans;*/
return poly;
}
vector<vector<pt>> newPolys;
void Split(vector<pt> poly, line a){
vector<pair<int,pt>> sec;
for(int i=0;i<poly.size();i++){
int j=(i+1)%poly.size();
if(a.is_on(poly[i])){
sec.pb({-(i+1),poly[i]});
}
if(a.is_on(poly[i]) || a.is_on(poly[j]))continue;
line b=line(poly[i],poly[j]);
if(paralel(a,b))continue;
pt g=inter(a,b);
if(b.in_order(poly[i],g,poly[j])){
sec.pb({i+1,g});
}
}
if(sec.size()<2){
newPolys.pb(poly);
}else if(sec.size()==2){
int l=abs(sec[0].first)-1;
int r=abs(sec[1].first)-1;
vector<pt> A;
A.pb(sec[0].second);
for(int i=(l+1)%poly.size();i!=(r+1)%poly.size();i=(i+1)%poly.size()){
A.pb(poly[i]);
}
if(sec[1].first<0)A.pop_back();
A.pb(sec[1].second);
newPolys.pb(Clean(A));
vector<pt> B;
B.pb(sec[1].second);
for(int i=(r+1)%poly.size();i!=(l+1)%poly.size();i=(i+1)%poly.size()){
B.pb(poly[i]);
}
if(sec[0].first<0)B.pop_back();
B.pb(sec[0].second);
newPolys.pb(Clean(B));
}else{
printf("%i\n",sec.size());
for(int i=0;i<sec.size();i++)printf("%i %.2lf %.2lf\n",sec[i].first,sec[i].second.x,sec[i].second.y);
for(pt p:poly)printf("(%.2lf, %.2lf)\n",p.x,p.y);
exit(0);
}
}
int main(){
int xl,xr,yl,yr;
scanf("%i %i %i %i",&xl,&xr,&yl,&yr);
cin>>s;
expr* e=Parse(0,s.size()-1);
//lines.pb(line(pt(xl,yl),pt(xl,yr)));
//lines.pb(line(pt(xl,yl),pt(xr,yl)));
//lines.pb(line(pt(xr,yr),pt(xl,yr)));
//lines.pb(line(pt(xr,yr),pt(xr,yl)));
vector<vector<pt>> polys={{
pt(xl,yl),
pt(xl,yr),
pt(xr,yr),
pt(xr,yl)
}};
for(line a:lines){
newPolys.clear();
for(vector<pt> poly:polys){
Split(poly, a);
}
polys=newPolys;
/*printf("Polys:\n");
for(vector<pt> poly:polys){
for(pt p:poly)printf("(%.2lf %.2lf) ",p.x,p.y);
printf("\n");
}*/
}
/*vector<pt> pts;
for(line a:lines){
for(line b:lines){
if(!paralel(a,b)){
pts.pb(inter(a,b));
}
}
}*/
ldb ans=0;
ldb totalArea=0;
for(vector<pt> poly: polys){
pt cen=GetCentroid(poly);
//printf("Cen (%.2lf, %.2lf) %.2lf\n",cen.x,cen.y,area(poly));
//totalArea+=area(poly);
if(e->check(cen)){
//printf("Take\n");
ans+=area(poly);
}
}
//printf("total area: %.2lf (%i)\n",totalArea,(xr-xl)*(yr-yl));
/*vector<array<pt,3>> triangles=Triangulate(pts);
for(auto tr:triangles){
pt cen=(tr[0]+tr[1]+tr[2])/3;
if(cen.x>=xl && cen.x<=xr && cen.y>=yl && cen.y<=yr){
if(e->check(cen)){
ans+=area(tr[0],tr[1],tr[2]);
}
}
}*/
cout << fixed << setprecision(12) << ans << std::endl;
return 0;
}
这程序好像有点Bug,我给组数据试试?
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3884kb
input:
0 1 0 1 ([-1,1,0]^[-1,-1,1])
output:
0.500000000000
result:
ok found '0.5000000', expected '0.5000000', error '0.0000000'
Test #2:
score: 0
Accepted
time: 1ms
memory: 3888kb
input:
-5 10 -10 5 ((!([1,2,-3]&[10,3,-2]))^([-2,3,1]|[5,-2,7]))
output:
70.451693404635
result:
ok found '70.4516934', expected '70.4516934', error '0.0000000'
Test #3:
score: 0
Accepted
time: 1ms
memory: 4064kb
input:
0 1 -1 1 ([1,1,1]&[-1,-1,-1])
output:
0.000000000000
result:
ok found '0.0000000', expected '0.0000000', error '-0.0000000'
Test #4:
score: 0
Accepted
time: 1ms
memory: 3828kb
input:
0 1000 0 1000 (([1,-1,0]&[-1000,999,999])&([1,0,-998]&[0,1,-998]))
output:
0.000499999966
result:
ok found '0.0005000', expected '0.0005000', error '0.0000000'
Test #5:
score: 0
Accepted
time: 1ms
memory: 3912kb
input:
-725 165 643 735 ((((!(([22,15,137]|(!([23,-5,-41]^(!([2,25,-515]&[-37,10,487])))))&(!(([25,24,47]^([-24,21,-114]^[19,-7,79]))^[4,20,241]))))^(!((!((!(([30,-1,474]^([14,17,155]^[-31,-6,-153]))|[-15,-15,108]))|(([-26,-11,421]&[-15,-3,-224])&[14,-3,458])))^[9,20,-404])))^(!((!((!(([14,-6,-464]^[-11,8,...
output:
47063.334852441360
result:
ok found '47063.3348524', expected '47063.3348524', error '0.0000000'
Test #6:
score: 0
Accepted
time: 1ms
memory: 3924kb
input:
767 957 738 941 ((!(((!([3,-3,507]^[-30,-10,425]))^[-6,7,643])^((!((!([-11,0,450]^[21,17,-65]))&(!([17,0,64]^[-11,0,804]))))|[-31,10,-687])))&((!(([-34,12,-527]^(!([17,-14,-219]^(!([13,-27,-105]^(!([18,-47,-110]&(!([-9,-20,-455]^[-18,26,-228])))))))))^([-4,0,144]^[10,1,396])))^((!((!([35,0,-221]&[-5...
output:
36999.058655663161
result:
ok found '36999.0586557', expected '36999.0586557', error '0.0000000'
Test #7:
score: 0
Accepted
time: 1150ms
memory: 16272kb
input:
-513 213 -733 114 (!((!((!((((!([2,16,-57]|[15,40,-272]))^((!(([0,26,315]|[5,-4,-336])^(!([-12,2,218]&([17,-16,-730]&[-7,3,-263])))))^[18,-7,29]))^[5,30,-126])^((!(((!((([8,9,406]^(!([-26,6,63]^[-38,-25,108])))^(([-9,20,220]^(!([-2,-27,213]^[29,16,-269])))|[-12,-4,-586]))^([30,0,-443]|(!((!([-17,0,3...
output:
295728.608103598643
result:
ok found '295728.6081036', expected '295728.6081036', error '0.0000000'
Test #8:
score: 0
Accepted
time: 7ms
memory: 4068kb
input:
-517 -379 -789 477 (((!((!(([1,-12,191]^(!(((!([32,0,89]^[-35,6,33]))^[-3,6,-293])^[20,-39,77])))^(([16,15,-285]^[15,-7,430])^([20,3,-95]|(!((!(([-15,-27,339]^[-11,-13,221])^[33,28,596]))|([-17,21,402]^[22,16,90])))))))&(!((!((!([12,-1,-279]^[-30,-13,224]))^[-29,24,-33]))^([31,-19,288]^(!((!([-1,26,...
output:
107150.604879697130
result:
ok found '107150.6048797', expected '107150.6048797', error '0.0000000'
Test #9:
score: 0
Accepted
time: 5ms
memory: 4456kb
input:
-477 275 -266 519 (!((!((!((!([-1,3,162]|[-32,16,269]))&(!(((((([-31,7,114]^([-12,7,-163]^[23,-10,159]))|(!(([0,-16,114]^[-33,15,-190])|(!([1,-22,308]^[-31,13,316])))))^((!([-12,29,-22]^(([23,15,-8]^[0,15,46])^[6,15,356])))^[22,13,-163]))^([18,17,487]^[28,23,143]))|(!(((!((!(([7,-45,-583]&([31,2,-22...
output:
335169.310517515929
result:
ok found '335169.3105175', expected '335169.3105175', error '0.0000000'
Test #10:
score: 0
Accepted
time: 2ms
memory: 3908kb
input:
175 624 -835 683 (!(((!(([-32,30,-478]^[23,4,-120])^[28,33,413]))|(!((!((!((!([-15,-5,0]^(!((!(((!([0,-32,90]^[-9,-22,-7]))^[-10,-35,344])|(!([1,11,-235]|[-31,-6,-344]))))^(!((!([-15,0,-90]|[-17,-10,-153]))^[-1,6,-8]))))))^(!([8,-6,302]^[-2,4,91]))))|([13,28,-70]^[16,-11,-74])))^(((((!((!((([-5,8,45...
output:
411470.358504943375
result:
ok found '411470.3585049', expected '411470.3585049', error '0.0000000'
Test #11:
score: 0
Accepted
time: 103ms
memory: 6612kb
input:
-1000 1000 -1000 1000 ([1,0,-1000]^([0,1,-1000]^([1,0,-980]^([0,1,-980]^([1,0,-960]^([0,1,-960]^([1,0,-940]^([0,1,-940]^([1,0,-920]^([0,1,-920]^([1,0,-900]^([0,1,-900]^([1,0,-880]^([0,1,-880]^([1,0,-860]^([0,1,-860]^([1,0,-840]^([0,1,-840]^([1,0,-820]^([0,1,-820]^([1,0,-800]^([0,1,-800]^([1,0,-780]^...
output:
2000000.000000000000
result:
ok found '2000000.0000000', expected '2000000.0000000', error '0.0000000'
Test #12:
score: 0
Accepted
time: 118ms
memory: 6880kb
input:
-500 500 -500 500 ([2,-3,-1000]^([2,3,-1000]^([2,-3,-980]^([2,3,-980]^([2,-3,-960]^([2,3,-960]^([2,-3,-940]^([2,3,-940]^([2,-3,-920]^([2,3,-920]^([2,-3,-900]^([2,3,-900]^([2,-3,-880]^([2,3,-880]^([2,-3,-860]^([2,3,-860]^([2,-3,-840]^([2,3,-840]^([2,-3,-820]^([2,3,-820]^([2,-3,-800]^([2,3,-800]^([2,-...
output:
539999.999999967287
result:
ok found '540000.0000000', expected '540000.0000000', error '0.0000000'
Test #13:
score: 0
Accepted
time: 13ms
memory: 4308kb
input:
-1000 1000 -1000 1000 ([-57,281,0]^([478,81,0]^([-362,995,0]^([-339,614,0]^([491,769,0]^([673,486,0]^([-637,374,0]^([-204,383,0]^([-509,859,0]^([-973,757,0]^([-707,648,0]^([-792,409,0]^([-944,621,0]^([446,21,0]^([-553,473,0]^([795,704,0]^([-821,992,0]^([89,47,0]^([771,332,0]^([-845,259,0]^([271,867,...
output:
1823923.897152948892
result:
ok found '1823923.8971529', expected '1823923.8971530', error '0.0000000'
Test #14:
score: 0
Accepted
time: 1ms
memory: 4076kb
input:
-1000 1000 -1000 1000 (([-27,-20,-237]^((([31,17,247]^[-4,-23,-917])^(![8,21,-342]))^((([-17,2,-281]&[-26,-31,186])|[31,-21,-697])|[-18,8,-512])))&[-5,19,-104])
output:
420530.734540940321
result:
ok found '420530.7345409', expected '420530.7345409', error '0.0000000'
Test #15:
score: 0
Accepted
time: 426ms
memory: 11524kb
input:
-1000 1000 -1000 1000 ((((!(((([31,17,247]^[-4,-23,-917])^(![8,21,-342]))^((([-17,2,-281]&[-26,-31,186])|[31,-21,-697])|[-18,8,-512]))^((!((!(!((([12,23,237]|[913,22,925])^[-14,11,-956])^[-9,-10,818])))|((([3,1,-213]^[-296,-13,171])&(!(!((!((!([-10,6,636]^[17,19,-546]))^([28,28,-698]|[-14,-4,-295]))...
output:
1479667.440785964020
result:
ok found '1479667.4407860', expected '1479667.4407860', error '0.0000000'
Test #16:
score: 0
Accepted
time: 1198ms
memory: 16940kb
input:
-1000 1000 -1000 1000 (((((((((((([-15,-2,9]^[-168,-28,507])^[-31,-23,293])^[23,-1,-290])^(([26,-4,869]^(([24,2,522]^[-10,5,-918])^[-22,5,50]))^[16,-827,-276]))^(([-1,-24,-651]^([16,15,-332]^[-722,29,-330]))^([-19,-23,14]^[12,-18,289])))^(((([6,-29,803]^[8,-8,50])^((([9,-7,-112]^([23,-29,-827]^[-12,...
output:
1945479.957439879654
result:
ok found '1945479.9574399', expected '1945479.9574399', error '0.0000000'
Test #17:
score: 0
Accepted
time: 3ms
memory: 4136kb
input:
0 1000 0 1000 (((((((([85,-100,0]^[21,-100,0])^[55,-100,0])^([29,-100,0]^([47,-100,0]^([78,-100,0]^([13,-100,0]^([100,-11,0]^[86,-100,0]))))))^(([48,-100,0]^[35,-100,0])^((([39,-100,0]^[98,-100,0])^([9,-100,0]^[100,-14,0]))^[100,-79,0])))^([12,-100,0]^[100,-100,0]))^((([20,-100,0]^([100,-64,0]^([100...
output:
500000.000000000000
result:
ok found '500000.0000000', expected '500000.0000000', error '0.0000000'
Test #18:
score: 0
Accepted
time: 101ms
memory: 6588kb
input:
0 100 0 100 (((([-85,1,0]^((([-21,1,0]^([-55,1,0]^(([-29,1,0]^[-47,1,0])^([-78,1,0]^[-13,1,0]))))^(([11,1,-100]^[-86,1,0])^[-48,1,0]))^([-35,1,0]^((((([-39,1,0]^([-98,1,0]^[-9,1,0]))^((([14,1,-100]^[79,1,-100])^[-12,1,0])^[100,1,-100]))^((([-20,1,0]^[64,1,-100])^(([60,1,-100]^([-1,1,0]^[41,1,-100]))...
output:
4987.314854974314
result:
ok found '4987.3148550', expected '4987.3148550', error '0.0000000'
Test #19:
score: 0
Accepted
time: 488ms
memory: 10612kb
input:
-500 1000 -500 1000 ((((((([2,-1,37]^[2,-1,1])^(([2,1,-55]^(([2,1,-29]^[2,1,-47])^[2,1,-78]))^([2,1,-13]^[0,1,-11])))^(((([2,1,-86]^([2,1,-48]^[2,-1,100]))^[2,-1,95])^[2,1,-98])^([2,1,-9]^([0,1,-14]^[0,1,-79]))))^([2,-1,88]^[0,1,-100]))^(([2,1,-20]^(([0,1,-64]^([2,-1,85]^[2,1,-1]))^(([2,-1,65]^([0,1...
output:
145000.000000000000
result:
ok found '145000.0000000', expected '145000.0000000', error '0.0000000'
Test #20:
score: 0
Accepted
time: 1ms
memory: 4520kb
input:
0 1000 0 1000 (!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!(!...
output:
623640.000000000000
result:
ok found '623640.0000000', expected '623640.0000000', error '0.0000000'
Test #21:
score: 0
Accepted
time: 114ms
memory: 7080kb
input:
-300 300 -300 300 ((([-199,200,0]&[299,-300,0])&([-1,-300,300]&[1,200,-200]))&([-1,-215,215]^((((([-1,-279,279]^[-1,-245,245])^(((((([-1,-271,271]^[-1,-253,253])^([-1,-222,222]^([-1,-287,287]^[289,-290,0])))^([-1,-214,214]^[-1,-252,252]))^(([-1,-265,265]^[-1,-261,261])^([-1,-202,202]^((([-1,-291,291...
output:
0.000001388917
result:
ok found '0.0000014', expected '0.0000014', error '0.0000000'
Test #22:
score: 0
Accepted
time: 1ms
memory: 3924kb
input:
0 1000 0 1000 (([-998,999,0]&[999,-1000,0])&[-1,-1,3])
output:
0.000001127254
result:
ok found '0.0000011', expected '0.0000011', error '0.0000000'
Extra Test:
score: 0
Extra Test Passed