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ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#208889 | #5155. Faster Than Light | JooDdae | WA | 1ms | 3444kb | C++20 | 2.7kb | 2023-10-09 21:49:23 | 2023-10-09 21:49:23 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
struct point {
ll x, y;
bool operator < (const point &o) const {
return tie(x, y) < tie(o.x, o.y);
}
point operator - (const point &a)const{
return {x-a.x, y-a.y};
}
};
ll cross(point a, point b){
return a.x * b.y - a.y * b.x;
}
int ccw(point a, point b, point c){
auto re = cross(b-a, c-a);
return (re > 0) - (re < 0);
}
bool solve(vector<array<point, 2>> p) {
vector<point> X, Y, dh, uh;
for(auto [x, y] : p) X.push_back(x), Y.push_back(y);
swap(*min_element(X.begin(), X.end()), X[0]);
sort(X.begin()+1, X.end(), [&](auto a, auto b){
auto re = ccw(X[0], a, b);
return re ? re > 0 : tie(a.x, b.y) < tie(b.x, a.y);
});
// reverse(X.begin()+1, X.end());
for(auto p : X) {
// cout << p.x << " " << p.y << "\n";
while(dh.size() > 1 && ccw(dh[dh.size()-2], dh.back(), p) >= 0) dh.pop_back();
dh.push_back(p);
}
swap(*min_element(Y.begin(), Y.end(), [&](auto a, auto b){ return tie(a.x, b.y) < tie(b.x, a.y); }), Y[0]);
sort(Y.begin()+1, Y.end(), [&](auto a, auto b){
auto re = ccw(Y[0], a, b);
return re ? re > 0 : tie(a.x, b.y) < tie(b.x, a.y);
});
for(auto p : Y) {
// cout << p.x << " " << p.y << "\n";
while(uh.size() > 1 && ccw(uh[uh.size()-2], uh.back(), p) <= 0) uh.pop_back();
uh.push_back(p);
}
// for(int i=0;i+1<dh.size();i++) cout << dh[i].x << " " << dh[i].y << " " << dh[i+1].x << " " << dh[i+1].y << "\n";
// cout << "----------------------------------\n";
// for(int i=0;i+1<uh.size();i++) cout << uh[i].x << " " << uh[i].y << " " << uh[i+1].x << " " << uh[i+1].y << "\n";
// cout << "\n";
for(int i=0, j=0;i+1<dh.size();i++) {
while(j < uh.size() && uh[j].x <= dh[i+1].x) {
if(ccw(dh[i], dh[i+1], uh[j]) < 0) return false;
j++;
}
}
for(int i=0, j=0;i+1<uh.size();i++) {
while(j < dh.size() && dh[j].x <= uh[i+1].x) {
if(ccw(uh[i], uh[i+1], dh[j]) > 0) return false;
j++;
}
}
return true;
}
int main() {
cin.tie(0)->sync_with_stdio(0);
int n; cin >> n;
vector<array<point, 2>> p(n);
for(auto &[p1, p2] : p) {
cin >> p1.x >> p1.y;
cin >> p2.x >> p2.y;
}
if(solve(p)) return cout << "possible", 0;
for(auto &[p1, p2] : p) swap(p1.x, p2.x);
if(solve(p)) return cout << "possible", 0;
for(auto &[p1, p2] : p) swap(p1.x, p1.y), swap(p2.x, p2.y);
cout << (solve(p) ? "possible" : "impossible");
}
详细
Test #1:
score: 100
Accepted
time: 1ms
memory: 3444kb
input:
5 1 3 3 4 2 2 4 3 4 1 5 3 5 2 7 3 6 3 8 4
output:
possible
result:
ok single line: 'possible'
Test #2:
score: -100
Wrong Answer
time: 1ms
memory: 3432kb
input:
4 1 1 2 2 1 3 2 4 3 1 4 2 3 3 4 4
output:
possible
result:
wrong answer 1st lines differ - expected: 'impossible', found: 'possible'