QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#669361 | #7906. Almost Convex | Corycle# | WA | 311ms | 4196kb | C++20 | 2.7kb | 2024-10-23 18:21:09 | 2024-10-23 18:21:10 |
Judging History
answer
#include<bits/stdc++.h>
#define ll long long
#define inf 0x3f3f3f3f
using namespace std;
ll read(){
ll s=0,f=1;char c=getchar();
while(c<'0'||c>'9'){if(c=='-')f=-1;c=getchar();}
while(c>='0'&&c<='9'){s=s*10+c-'0';c=getchar();}
return s*f;
}
struct Point{
ll x,y;
bool tag;
Point(ll a=0,ll b=0,bool c=false){
x=a;y=b;tag=c;
}
Point operator-(const Point &b) const{
return Point(x-b.x,y-b.y,false);
}
}P[2003];
ll Cross(Point A,Point B,Point C){ //AB x AC
return (A.x-C.x)*(B.y-C.y)-(A.y-C.y)*(B.x-C.x);
}
ll Dist(Point A,Point B){
return (A.x-B.x)*(A.x-B.x)+(A.y-B.y)*(A.y-B.y);
}
bool cmp(Point A,Point B){
ll x=Cross(A,B,P[1]);
if(x>0) return true;
if(x<0) return false;
return Dist(A,P[1])<Dist(B,P[1]);
}
int n;
int top,a[2003];
vector<Point> q;
const double eps = 1e-7;
const double pi = acos(-1);
double ang(Point p){
if(fabs(p.x)<eps){
if(p.y>0) return pi/2;
else return 3*pi/2;
}
if(fabs(p.y)<eps){
if(p.x>0) return 0;
else return pi;
}
double res = atan(p.y/(double)p.x);
if(p.x<0) return res+pi;
if(p.y<0) return res+2*pi;
return res;
}
int solve(vector<double> v, double x){
// cout<<"Solving...\n";
// cout<<x<<endl;
// for(auto t:v) cout<<t<<",";
if(x-v[0]<-eps||x-v[top-1]>eps) return 0;
if(fabs(x-v[0])<eps||fabs(x-v[top-1])<eps) return -1;
int l=1,r=top-1,mid,ans;
while(l<=r){
mid=(l+r)/2;
if(v[mid]>=x-eps) r=mid-1,ans=mid;
else l=mid+1;
}
if(fabs(x-v[ans])<eps) return -1;
return ans;
}
int main(){
n=read();
int Minx=inf,Miny=inf,id=0;
for(int i=1;i<=n;++i){
P[i].x=read();
P[i].y=read();
if(P[i].y<Miny||(P[i].y==Miny&&P[i].x<Minx)){
Minx=P[i].x;
Miny=P[i].y;
id=i;
}
}
swap(P[1],P[id]);
sort(P+2,P+n+1,cmp);
a[++top]=1; a[++top]=2;
for(int i=3;i<=n;++i){
while(top>=2&&Cross(P[i],P[a[top]],P[a[top-1]])>0) top--;
a[++top]=i;
}
for(int i=1;i<=top;++i) q.push_back(P[a[i]]),P[a[i]].tag=true;
ll ans = 0;
for(int i=1;i<=n;++i) if(!P[i].tag){
set<int> s;
vector<double> v;
for(auto p:q) v.push_back(ang(p-P[i]));
sort(v.begin(),v.end());
for(int j=1;j<=n;++j) if(!P[j].tag&&i!=j)
s.insert(solve(v,ang(P[j]-P[i])));
s.insert(-1);
// cout<<"S: ";
// for(auto xx:s) cout<<xx<<" ";
// cout<<endl;
// cout<<"P: "<<P[i].x<<" "<<P[i].y<<endl;
ans += top+1-s.size();
// cout<<ans<<endl;
}
cout<<ans+1;
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3924kb
input:
7 1 4 4 0 2 3 3 1 3 5 0 0 2 4
output:
9
result:
ok 1 number(s): "9"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3876kb
input:
5 4 0 0 0 2 1 3 3 3 1
output:
5
result:
ok 1 number(s): "5"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3572kb
input:
3 0 0 3 0 0 3
output:
1
result:
ok 1 number(s): "1"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3988kb
input:
6 0 0 3 0 3 2 0 2 1 1 2 1
output:
7
result:
ok 1 number(s): "7"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3704kb
input:
4 0 0 0 3 3 0 3 3
output:
1
result:
ok 1 number(s): "1"
Test #6:
score: 0
Accepted
time: 311ms
memory: 4196kb
input:
2000 86166 617851 383354 -277127 844986 386868 -577988 453392 -341125 -386775 -543914 -210860 -429613 606701 -343534 893727 841399 339305 446761 -327040 -218558 -907983 787284 361823 950395 287044 -351577 -843823 -198755 138512 -306560 -483261 -487474 -857400 885637 -240518 -297576 603522 -748283 33...
output:
718
result:
ok 1 number(s): "718"
Test #7:
score: 0
Accepted
time: 299ms
memory: 3924kb
input:
2000 571314 -128802 -57762 485216 -713276 485201 -385009 -844644 371507 403789 338703 -272265 -913641 438001 -792118 -481524 709494 213762 -913577 432978 -397111 709021 840950 328210 -843628 452653 -20721 126607 -107804 -338102 930109 -89787 -949115 -76479 -862141 455623 991761 94852 -635475 625573 ...
output:
658
result:
ok 1 number(s): "658"
Test #8:
score: 0
Accepted
time: 278ms
memory: 3972kb
input:
2000 -510540 -289561 -602648 -189950 -403224 944455 -369582 -41334 358122 -598933 -817147 470207 -440180 -735160 -705634 61719 319062 897001 -905089 -755682 -408371 -520115 -423336 548115 -590242 835990 208155 883477 -202087 142035 -71545 411206 570690 -673204 -228451 -903435 -732876 -570271 -246755...
output:
309
result:
ok 1 number(s): "309"
Test #9:
score: 0
Accepted
time: 266ms
memory: 3952kb
input:
2000 -532115 566389 138405 49337 398814 -97324 116833 113216 381728 877609 222402 641022 109920 952381 -113880 395181 13780 -572931 -676608 605202 -74328 -503839 -207767 926500 -663270 -146303 197877 280349 275865 -663892 -630214 3286 973786 304855 -493735 841584 394901 -505975 757960 204724 -373328...
output:
239
result:
ok 1 number(s): "239"
Test #10:
score: -100
Wrong Answer
time: 267ms
memory: 3924kb
input:
2000 512636 509804 -661126 -592269 755566 -721837 -878213 441853 -236050 -89069 -181220 155656 203391 691764 940154 260513 747075 373881 620423 840991 -409624 335472 270937 -710659 -751290 -673585 250341 -193243 -250535 618887 -739996 543936 -547741 -213681 -82920 -364319 -611672 737719 930798 46731...
output:
1026
result:
wrong answer 1st numbers differ - expected: '1025', found: '1026'