QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#315152 | #7730. Convex Checker | yokeff | WA | 97ms | 43908kb | C++20 | 5.3kb | 2024-01-27 00:31:16 | 2024-01-27 00:31:17 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define endl '\n'
typedef pair<int, int> PII;
#define fr(i, a, n) for(int i = a; i <= n; i ++)
#define rf(i, a, n) for(int i = n; i >= a; i --)
const int N = 1e6 + 10;
const int mod = 1e9 + 7;
int T, t, n, m, idx, flag, a1, b1, a2, b2, k, x, y, mx, mn;
int mid, mi, c, z, d, e;
int ans, sum, cnt;
int q[N], tr[N * 2], p[N], l[N], r[N], head[N];
string s1, s2, s3, s4, s5;
int ss[30];
vector<string> num[150];
double a, b;
const double eps = 1e-6;
struct point
{
double x, y;
point(double x = 0, double y = 0):x(x),y(y){}
};
typedef point Vector;
Vector operator + (Vector a, Vector b)
{
return Vector(a.x + b.x, a.y + b.y);
}
Vector operator - (Vector a, Vector b)
{
return Vector(a.x - b.x, a.y - b.y);
}
Vector operator * (Vector a, double p)
{
return Vector(a.x * p, a.y * p);
}
Vector operator / (Vector a, double p)
{
return Vector(a.x / p, a.y / p);
}
int sgn(double x)
{
if(fabs(x) < eps) return 0;
if(x < 0) return -1;
else return 1;
}
int dcmp(double x, double y)//点与点比较
{
if(fabs(x - y) < eps) return 0;
if(x > y) return 1;
else return -1;
}
double dot(Vector a, Vector b)//点乘
{
return a.x * b.x + a.y * b.y;
}
double cross(Vector a, Vector b)//叉乘
{
return a.x * b.y - a.y * b.x;
}
double length(Vector a)//取模
{
return sqrt(dot(a, a));
}
double angle(Vector a, Vector b)//夹角,返回弧度制
{
return acos(dot(a, b) / length(a) / length(b));
}
double area2(point a, point b, point c)//ab与ac构成的有向四边形面积
{
return cross(b - a, c - a);
}
Vector rotate(Vector a, double rad)//rad为弧度制,且为逆时针旋转的角
{
return Vector(a.x * cos(rad) - a.y * sin(rad), a.x * sin(rad) + a.y * cos(rad));
}
Vector normal(Vector a)//向量a左转90°的单位法向量
{
double L = length(a);
return Vector(-a.y / L, a.x / L);
}
bool tolefttest(point a, point b, point c)//判断bc在ab的逆时针方向(左侧),是返回1,
{
return cross(b - a, c - b) > 0;
}
point lst[N], qq[N];
int stk[N], top;
bool cmp(point a, point b)
{
int s = sgn(cross(a - lst[0], b - lst[0]));
if(s > 0) return true;
if(s == 0 && length(a - lst[0]) < length(b - lst[0])) return true;
else return false;
}
bool cmp1(point a, point b)
{
int s = sgn(cross(a - lst[0], b - lst[0]));
if(s > 0) return true;
if(s == 0 && length(a - lst[0]) < length(b - lst[0])) return true;
else return false;
}
void Graham()
{
k = 0;
point p0;
a = lst[0].x;
b = lst[0].y;
for(int i = 1; i < n; i ++)
{
if(b > lst[i].y || (b == lst[i].y && a > lst[i].x))
{
a = lst[i].x;
b = lst[i].y;
k = i;
}
}
if(n == 1)
{
top = 1;
stk[0] = 0;
return ;
}
if(n == 2)
{
top = 2, stk[0] = 0, stk[1] = 1;
return ;
}
stk[0] = k, stk[1] = k + 1, top = 2;
// cout << k << ' ' << top << endl;
for(int i = k + 2; i < n + k; i ++)
{
// cout << i << ' ' << lst[stk[top - 1]].x << ' ' << lst[stk[top - 1]].y << ' ' << lst[stk[top - 2]].x << ' ' << lst[stk[top - 2]].y << ' ' << lst[i].x << " " << lst[i].y << endl;
// cout << i << ' ' << cross(lst[stk[top - 1]] - lst[stk[top - 2]], lst[i] - lst[stk[top - 2]]) << endl;
while(top > 1 && cross(lst[stk[top - 1]] - lst[stk[top - 2]], lst[i] - lst[stk[top - 2]]) <= 0)
{
top --;
}
stk[top] = i;
top ++;
}
if(top == n)
{
fr(i, 0, n - 1) qq[i] = lst[i];
sort(qq, qq + n, cmp);
flag = 1;
for(int i = k; i < k + n; i ++)
{
if(qq[i - k].x != lst[i].x && lst[i].y != qq[i - k].y) flag = 0;
}
if(flag == 1)
{
top = n;
return ;
}
}
fr(i, 0, n - 1) qq[i] = lst[n - i - 1];
fr(i, 0, n - 1) lst[i] = qq[i], lst[i + n] = lst[i];
k = 0;
a = lst[0].x;
b = lst[0].y;
for(int i = 1; i < n; i ++)
{
if(b > lst[i].y || (b == lst[i].y && a > lst[i].x))
{
a = lst[i].x;
b = lst[i].y;
k = i;
}
}
if(n == 1)
{
top = 1;
stk[0] = 0;
return ;
}
if(n == 2)
{
top = 2, stk[0] = 0, stk[1] = 1;
return ;
}
stk[0] = k, stk[1] = k + 1, top = 2;
// cout << k << ' ' << top << endl;
for(int i = k + 2; i < n + k; i ++)
{
// cout << i << ' ' << lst[stk[top - 1]].x << ' ' << lst[stk[top - 1]].y << ' ' << lst[stk[top - 2]].x << ' ' << lst[stk[top - 2]].y << ' ' << lst[i].x << " " << lst[i].y << endl;
// cout << i << ' ' << cross(lst[stk[top - 1]] - lst[stk[top - 2]], lst[i] - lst[stk[top - 2]]) << endl;
while(top > 1 && cross(lst[stk[top - 1]] - lst[stk[top - 2]], lst[i] - lst[stk[top - 2]]) <= 0)
{
top --;
}
stk[top] = i;
top ++;
}
if(top == n)
{
fr(i, 0, n - 1) qq[i] = lst[i];
sort(qq, qq + n, cmp);
flag = 1;
for(int i = k; i < k + n; i ++)
{
if(qq[i - k].x != lst[i].x && lst[i].y != qq[i - k].y) flag = 0;
}
if(flag == 1)
{
top = n;
return ;
}
}
}
void solve()
{
cin >> n;
set<PII> st;
fr(i, 0, n - 1)
{
cin >> a >> b;
st.insert({a, b});
lst[i] = {a, b};
lst[i + n] = {a, b};
}
Graham();
// cout << top << endl;
if(st.size() >= 3 && top == n)
{
cout << "YES" << endl;
}else cout << "NO" << endl;
}
signed main()
{
ios::sync_with_stdio(false);
cin.tie(0), cout.tie(0);
// cin >> T;
// while(T -- )
solve();
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 34984kb
input:
3 0 0 1 0 0 1
output:
YES
result:
ok answer is YES
Test #2:
score: 0
Accepted
time: 0ms
memory: 35124kb
input:
4 0 0 0 1 1 1 1 0
output:
YES
result:
ok answer is YES
Test #3:
score: 0
Accepted
time: 3ms
memory: 35120kb
input:
4 0 0 0 3 1 2 1 1
output:
YES
result:
ok answer is YES
Test #4:
score: 0
Accepted
time: 4ms
memory: 34964kb
input:
3 0 0 0 0 0 0
output:
NO
result:
ok answer is NO
Test #5:
score: 0
Accepted
time: 0ms
memory: 35136kb
input:
5 1 0 4 1 0 1 2 0 3 2
output:
NO
result:
ok answer is NO
Test #6:
score: 0
Accepted
time: 0ms
memory: 35124kb
input:
5 0 0 1000000000 0 1000000000 500000000 1000000000 1000000000 0 1000000000
output:
NO
result:
ok answer is NO
Test #7:
score: 0
Accepted
time: 3ms
memory: 34948kb
input:
5 0 0 1000000000 0 1000000000 499999999 1000000000 1000000000 0 1000000000
output:
NO
result:
ok answer is NO
Test #8:
score: 0
Accepted
time: 0ms
memory: 35120kb
input:
5 0 0 999999999 0 1000000000 50000000 999999999 1000000000 0 1000000000
output:
YES
result:
ok answer is YES
Test #9:
score: -100
Wrong Answer
time: 97ms
memory: 43908kb
input:
128312 5578014 410408218 5585076 410404717 5588011 410403262 5588473 410403033 5589740 410402405 5593295 410400643 5593751 410400417 5597248 410398684 5598935 410397848 5600618 410397014 5605185 410394751 5610514 410392111 5614281 410390245 5617263 410388768 5621142 410386847 5630840 410382045 56310...
output:
NO
result:
wrong answer expected YES, found NO