| Task: | Broken car race |
| Sender: | Makkara |
| Submission time: | 2025-11-08 16:04:45 +0200 |
| Language: | C++ (C++17) |
| Status: | READY |
| Result: | ACCEPTED |
| test | verdict | time | |
|---|---|---|---|
| #1 | ACCEPTED | 0.00 s | details |
| #2 | ACCEPTED | 0.00 s | details |
| #3 | ACCEPTED | 0.01 s | details |
| #4 | ACCEPTED | 0.00 s | details |
| #5 | ACCEPTED | 0.00 s | details |
| #6 | ACCEPTED | 0.00 s | details |
| #7 | ACCEPTED | 0.00 s | details |
| #8 | ACCEPTED | 0.00 s | details |
| #9 | ACCEPTED | 0.00 s | details |
| #10 | ACCEPTED | 0.00 s | details |
| #11 | ACCEPTED | 0.00 s | details |
| #12 | ACCEPTED | 0.00 s | details |
| #13 | ACCEPTED | 0.00 s | details |
| #14 | ACCEPTED | 0.00 s | details |
| #15 | ACCEPTED | 0.00 s | details |
| #16 | ACCEPTED | 0.00 s | details |
| #17 | ACCEPTED | 0.00 s | details |
| #18 | ACCEPTED | 0.00 s | details |
| #19 | ACCEPTED | 0.01 s | details |
| #20 | ACCEPTED | 0.01 s | details |
| #21 | ACCEPTED | 0.07 s | details |
| #22 | ACCEPTED | 0.09 s | details |
| #23 | ACCEPTED | 0.10 s | details |
| #24 | ACCEPTED | 0.11 s | details |
| #25 | ACCEPTED | 0.04 s | details |
| #26 | ACCEPTED | 0.04 s | details |
| #27 | ACCEPTED | 0.05 s | details |
| #28 | ACCEPTED | 0.06 s | details |
Compiler report
input/code.cpp: In lambda function:
input/code.cpp:59:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<Point>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
59 | for(int i=0; i<h.size(); i++) {
| ~^~~~~~~~~Code
#include <bits/stdc++.h>
using namespace std;
struct Point {
long long x, y;
Point() {}
Point(long long x, long long y) : x(x), y(y) {}
bool operator < (const Point &p) const {
return x < p.x || (x == p.x && y < p.y);
}
};
long long cross(const Point &O, const Point &A, const Point &B) {
return (A.x - O.x) * (B.y - O.y) - (A.y - O.y) * (B.x - O.x);
}
vector <Point> convex_hull(vector <Point> &P) {
int n = P.size(), k = 0;
vector <Point> H(2*n);
sort(P.begin(), P.end());
for(int i=0; i<n; i++) {
while(k >= 2 && cross(H[k-2], H[k-1], P[i]) <= 0) k--;
H[k++] = P[i];
}
for(int i=n-2, t = k+1; i>=0; i--) {
while(k >= t && cross(H[k-2], H[k-1], P[i]) <= 0) k--;
H[k++] = P[i];
}
H.resize(k-1);
return H;
}
int main() {
int n;
cin >> n;
long long x, y;
vector <Point> v;
for(int i=0; i<n; i++) {
cin >> x >> y;
v.push_back(Point(x,y));
}
if(n < 4) {
cout << "NO" << endl;
return 0;
}
vector <Point> h = convex_hull(v);
if(h.size() >= 4) {
cout << "YES" << endl;
for(int i=0; i<4; i++) {
cout << h[i].x << " " << h[i].y << endl;
}
return 0;
}
if(n == 4) {
cout << "NO" << endl;
return 0;
}
auto isin = [&] (Point r) -> bool {
for(int i=0; i<h.size(); i++) {
if(h[i].x == r.x && h[i].y == r.y) return true;
}
return false;
};
vector <Point> tmp;
for(int i=0; i<5 && tmp.size() < 2; i++) {
if(isin(v[i])) continue;
tmp.push_back(v[i]);
}
vector <Point> t1 = {h[0], h[1], tmp[0], tmp[1]};
vector <Point> t2 = {h[0], h[2], tmp[0], tmp[1]};
vector <Point> t3 = {h[2], h[1], tmp[0], tmp[1]};
t1 = convex_hull(t1);
t2 = convex_hull(t2);
t3 = convex_hull(t3);
if(t1.size() == 4) {
cout << "YES" << endl;
for(int i=0; i<4; i++) {
cout << t1[i].x << " " << t1[i].y << endl;
}
return 0;
}
t1 = t2;
if(t1.size() == 4) {
cout << "YES" << endl;
for(int i=0; i<4; i++) {
cout << t1[i].x << " " << t1[i].y << endl;
}
return 0;
}
t1 = t3;
if(t1.size() == 4) {
cout << "YES" << endl;
for(int i=0; i<4; i++) {
cout << t1[i].x << " " << t1[i].y << endl;
}
return 0;
}
assert(0);
cout << "NO" << endl;
return 0;
}
Test details
Test 1
Verdict: ACCEPTED
| input |
|---|
| 4 0 0 1 1 0 1 1 0 |
| correct output |
|---|
| YES 0 0 1 0 1 1 0 1 |
| user output |
|---|
| YES 0 0 1 0 1 1 0 1 |
Test 2
Verdict: ACCEPTED
| input |
|---|
| 4 0 0 3 0 0 3 1 1 |
| correct output |
|---|
| NO |
| user output |
|---|
| NO |
Test 3
Verdict: ACCEPTED
| input |
|---|
| 4 -999999999 -1000000000 -1000000000 -999999999 1000000000 1000000000 999999999 999999999 |
| correct output |
|---|
| NO |
| user output |
|---|
| NO |
Test 4
Verdict: ACCEPTED
| input |
|---|
| 4 -1 -999999999 -1000000000 -1000000000 1 -999999999 1000000000 -999999998 |
| correct output |
|---|
| YES -1000000000 -1000000000 1 -999999999 1000000000 -999999998 -1 -999999999 |
| user output |
|---|
| YES -1000000000 -1000000000 1 -999999999 1000000000 -999999998 -1 -999999999 |
Test 5
Verdict: ACCEPTED
| input |
|---|
| 4 0 -999999999 -999999999 -1000000000 1 -999999999 1000000000 -999999998 |
| correct output |
|---|
| YES -999999999 -1000000000 1 -999999999 1000000000 -999999998 0 -999999999 |
| user output |
|---|
| YES -999999999 -1000000000 1 -999999999 1000000000 -999999998 0 -999999999 |
Test 6
Verdict: ACCEPTED
| input |
|---|
| 1 0 0 |
| correct output |
|---|
| NO |
| user output |
|---|
| NO |
Test 7
Verdict: ACCEPTED
| input |
|---|
| 2 0 0 1 1 |
| correct output |
|---|
| NO |
| user output |
|---|
| NO |
Test 8
Verdict: ACCEPTED
| input |
|---|
| 3 0 0 1 1 2 1 |
| correct output |
|---|
| NO |
| user output |
|---|
| NO |
Test 9
Verdict: ACCEPTED
| input |
|---|
| 4 0 0 1 1 2 4 3 4 |
| correct output |
|---|
| YES 0 0 1 1 3 4 2 4 |
| user output |
|---|
| YES 0 0 1 1 3 4 2 4 |
Test 10
Verdict: ACCEPTED
| input |
|---|
| 4 3 4 0 0 1 1 2 4 |
| correct output |
|---|
| YES 0 0 1 1 3 4 2 4 |
| user output |
|---|
| YES 0 0 1 1 3 4 2 4 |
Test 11
Verdict: ACCEPTED
| input |
|---|
| 4 -947476077 -331979804 -947475987 -331979714 -947475897 -331979444 -947475807 -331979444 |
| correct output |
|---|
| YES -947476077 -331979804 -947475987 -331979714 -947475807 -331979444 -947475897 -331979444 |
| user output |
|---|
| YES -947476077 -331979804 -947475987 -331979714 -947475807 -331979444 -947475897 -331979444 |
Test 12
Verdict: ACCEPTED
| input |
|---|
| 4 -318972071 -438408913 -318972227 -438409225 -318971993 -438408913 -318972149 -438409147 |
| correct output |
|---|
| YES -318972227 -438409225 -318972149 -438409147 -318971993 -438408913 -318972071 -438408913 |
| user output |
|---|
| YES -318972227 -438409225 -318972149 -438409147 -318971993 -438408913 -318972071 -438408913 |
Test 13
Verdict: ACCEPTED
| input |
|---|
| 5 0 0 1 1 2 4 3 4 ... |
| correct output |
|---|
| YES 0 0 1 1 3 4 2 4 |
| user output |
|---|
| YES 0 0 4 1 3 4 2 4 |
Test 14
Verdict: ACCEPTED
| input |
|---|
| 5 2 4 3 4 4 1 0 0 ... |
| correct output |
|---|
| YES 0 0 1 1 3 4 2 4 |
| user output |
|---|
| YES 0 0 4 1 3 4 2 4 |
Test 15
Verdict: ACCEPTED
| input |
|---|
| 5 -298761158 -20751946 -298761080 -20751868 -298761002 -20751634 -298760924 -20751634 ... |
| correct output |
|---|
| YES -298761158 -20751946 -298761080 -20751868 -298760924 -20751634 -298761002 -20751634 |
| user output |
|---|
| YES -298761158 -20751946 -298760846 -20751868 -298760924 -20751634 -298761002 -20751634 |
Test 16
Verdict: ACCEPTED
| input |
|---|
| 5 -664720312 -463218521 -664720310 -463218527 -664720318 -463218529 -664720316 -463218527 ... |
| correct output |
|---|
| YES -664720318 -463218529 -664720316 -463218527 -664720312 -463218521 -664720314 -463218521 |
| user output |
|---|
| YES -664720318 -463218529 -664720310 -463218527 -664720312 -463218521 -664720314 -463218521 |
Test 17
Verdict: ACCEPTED
| input |
|---|
| 1000 0 0 1 1 2 4 3 9 ... |
| correct output |
|---|
| YES 0 0 1 1 2 4 3 9 |
| user output |
|---|
| YES 0 0 860 3 964 7 977 15 |
Test 18
Verdict: ACCEPTED
| input |
|---|
| 1000 258 979 961 286 526 210 359 738 ... |
| correct output |
|---|
| YES 258 979 359 738 961 286 938 1005 |
| user output |
|---|
| YES 0 0 860 3 964 7 977 15 |
Test 19
Verdict: ACCEPTED
| input |
|---|
| 1000 -921893439 -773165050 -921893387 -773164998 -921893335 -773164842 -921893283 -773164582 ... |
| correct output |
|---|
| YES -921893439 -773165050 -921893387 -773164998 -921893335 -773164842 -921893283 -773164582 |
| user output |
|---|
| YES -921893439 -773165050 -921848719 -773164894 -921843311 -773164686 -921842635 -773164270 |
Test 20
Verdict: ACCEPTED
| input |
|---|
| 1000 -857937339 -260514932 -857900604 -260453645 -857927295 -260433371 -857907672 -260495123 ... |
| correct output |
|---|
| YES -857970726 -260438486 -857937339 -260514932 -857907672 -260495123 -857927295 -260433371 |
| user output |
|---|
| YES -857989605 -260517443 -857909625 -260517164 -857899953 -260516792 -857898744 -260516048 |
Test 21
Verdict: ACCEPTED
| input |
|---|
| 100000 0 0 1 1 2 4 3 9 ... |
| correct output |
|---|
| YES 0 0 1 1 2 4 3 9 |
| user output |
|---|
| YES 0 0 55522 6 91418 14 99999 16 |
Test 22
Verdict: ACCEPTED
| input |
|---|
| 100000 48266 36871 12387 33167 41280 87283 87910 36263 ... |
| correct output |
|---|
| YES 41172 82734 48266 36871 87910 36263 41280 87283 |
| user output |
|---|
| YES 0 0 55522 6 91418 14 99999 16 |
Test 23
Verdict: ACCEPTED
| input |
|---|
| 100000 -76010768 -505453376 -76010702 -505453310 -76010636 -505453112 -76010570 -505452782 ... |
| correct output |
|---|
| YES -76010768 -505453376 -76010702 -505453310 -76010636 -505453112 -76010570 -505452782 |
| user output |
|---|
| YES -76010768 -505453376 -72346316 -505452980 -69977180 -505452452 -69410834 -505452320 |
Test 24
Verdict: ACCEPTED
| input |
|---|
| 100000 -229347383 -980287597 -234601047 -984160539 -228269246 -981952727 -228868065 -980735452 ... |
| correct output |
|---|
| YES -234601047 -984160539 -229520466 -983763565 -228868065 -980735452 -229347383 -980287597 |
| user output |
|---|
| YES -234627327 -986321120 -230574221 -986320682 -227953813 -986320098 -227327400 -986319952 |
Test 25
Verdict: ACCEPTED
| input |
|---|
| 49935 0 0 1 1 2 4 317 486 ... |
| correct output |
|---|
| YES 0 0 1 1 317 486 2 4 |
| user output |
|---|
| YES 1 1 99999 16 44974 100001 2 4 |
Test 26
Verdict: ACCEPTED
| input |
|---|
| 49935 32628 54449 63501 56035 40017 12250 62461 59485 ... |
| correct output |
|---|
| YES 32628 54449 40017 12250 59069 42091 62461 59485 |
| user output |
|---|
| YES 1 1 99999 16 44974 100001 2 4 |
Test 27
Verdict: ACCEPTED
| input |
|---|
| 49935 -701962979 -481681059 -701962958 -481681038 -701962937 -481680975 -701956322 -481670853 ... |
| correct output |
|---|
| YES -701962979 -481681059 -701962958 -481681038 -701956322 -481670853 -701962937 -481680975 |
| user output |
|---|
| YES -701962958 -481681038 -699863000 -481680723 -701018525 -479581038 -701962937 -481680975 |
Test 28
Verdict: ACCEPTED
| input |
|---|
| 49935 -534092520 -499622905 -532312144 -496581113 -529779120 -499152565 -532498252 -497270841 ... |
| correct output |
|---|
| YES -534092520 -499622905 -532498252 -497270841 -532169300 -496736281 -532312144 -496581113 |
| user output |
|---|
| YES -534304992 -499782389 -529105096 -499781609 -531966396 -494582389 -534304940 -499782233 |
