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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 |
---|---|---|---|---|---|---|---|---|---|
#312769 | #7730. Convex Checker | tiny_fish | WA | 0ms | 4368kb | C++17 | 2.0kb | 2024-01-24 11:49:48 | 2024-01-24 11:49:49 |
Judging History
answer
#include <cstdio>
#include <cmath>
#include <algorithm>
const int maxn = 2e5 + 5;
typedef double ld;
struct Point{
ld x, y, ang;
int id;
Point operator - (const Point &oth) const { return {x - oth.x, y - oth.y}; }
bool operator == (const Point &oth) const { return x == oth.x && y == oth.y; }
} p[maxn];
ld dis(const Point &a, const Point &b){
return sqrt((a.x - b.x) * (a.x - b.x) + (a.y - b.y) * (a.y - b.y));
}
ld det(const Point &a, const Point &b){
return a.x * b.y - a.y * b.x;
}
int n, sta[maxn], top;
double ans;
bool checkR(int p){
for(int i = 1; i <= n; i++){
if(sta[p] ^ i) return false;
p = p < n ? p+1 : 1;
}
return true;
}
bool checkL(int p){
for(int i = 1; i <= n; i++){
if(sta[p] ^ i) return false;
p = p > 1 ? p-1 : n;
}
return true;
}
int main(){
scanf("%d", &n);
for(int i = 1; i <= n; i++){
scanf("%lf%lf", &p[i].x, &p[i].y);
p[i].id = i;
}
for(int i = 2; i <= n; i++){
if(p[i].y < p[1].y || (p[i].y == p[1].y && p[i].x < p[1].x)) std::swap(p[1], p[i]);
}
for(int i = 2; i <= n; i++){
p[i].ang = atan2(p[i].y - p[1].y, p[i].x - p[1].x);
}
std::sort(p+2, p+1+n, [&](Point a, Point b){ return a.ang == b.ang ? dis(a, p[1]) < dis(b, p[1]) : a.ang < b.ang; });
int T = std::unique(p+1, p+1+n) - p - 1; if(T < 3){ puts("No"); return 0; }
sta[++top] = 1;
for(int i = 2; i <= n; i++){
while(top >= 2 && det(p[sta[top]] - p[sta[top-1]], p[i] - p[sta[top]]) < 0){
top--;
}
sta[++top] = i;
}
if(top < T){ puts("No"); return 0; }
for(int i = 1; i <= top; i++) sta[i] = p[sta[i]].id;
int p = std::find(sta+1, sta+1+T, 1) - sta;
puts((checkL(p) || checkR(p)) ? "Yes" : "No");
// auto [mn, mx] = std::minmax_element(sta+1, sta+1+top);
// printf("%d %d\n", mn-sta, mx-sta);
// for(int i = 1; i <= top; i++) printf("%d%c", sta[i], " \n"[i==top]);
return 0;
}
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 4076kb
input:
3 0 0 1 0 0 1
output:
Yes
result:
ok answer is YES
Test #2:
score: 0
Accepted
time: 0ms
memory: 2212kb
input:
4 0 0 0 1 1 1 1 0
output:
Yes
result:
ok answer is YES
Test #3:
score: 0
Accepted
time: 0ms
memory: 4348kb
input:
4 0 0 0 3 1 2 1 1
output:
Yes
result:
ok answer is YES
Test #4:
score: 0
Accepted
time: 0ms
memory: 3996kb
input:
3 0 0 0 0 0 0
output:
No
result:
ok answer is NO
Test #5:
score: 0
Accepted
time: 0ms
memory: 4368kb
input:
5 1 0 4 1 0 1 2 0 3 2
output:
No
result:
ok answer is NO
Test #6:
score: -100
Wrong Answer
time: 0ms
memory: 4252kb
input:
5 0 0 1000000000 0 1000000000 500000000 1000000000 1000000000 0 1000000000
output:
Yes
result:
wrong answer expected NO, found YES