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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#277254 | #7906. Almost Convex | wenjing233# | WA | 421ms | 3844kb | C++14 | 5.1kb | 2023-12-06 17:03:43 | 2023-12-06 17:03:43 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
const double eps = 1e-9;
const int N = 2e3 + 10;
inline int sgn(double x) {
if (fabs(x) < eps) return 0;
if (x < 0) return -1; else return 1;
}
inline int read() {
int x = 0, k = 1; char ch = getchar();
for (; ch < 48 || ch > 57; ch = getchar()) k ^= (ch == '-');
for (; ch >= 48 && ch <= 57; ch = getchar()) x = x * 10 + (ch ^ 48);
return k ? x : -x;
}
struct Point {
double x, y;
int id;
Point() {}
Point(double _x, double _y) {
x = _x, y = _y;
}
double distance(Point p) {
return hypot(x - p.x, y - p.y);
}
Point operator -(const Point &b) const {
return Point(x - b.x, y - b.y);
}
double operator ^(const Point &b) const {
return x * b.y - y * b.x;
}
bool operator <(Point b) const {
return sgn(x - b.x) == 0 ? sgn(y - b.y) < 0 : x < b.x;
}
bool operator ==(Point b) const {
return sgn(x - b.x) == 0 && sgn(y - b.y) == 0;
}
} P[N], P1[N],PP;
int get(Point a){
if (sgn(a.y)==0){
if (sgn(a.x)==1) return 0;
else return 4;
}
if (sgn(a.x)==0){
if (sgn(a.y)==1) return 2;
else return 6;
}
if (sgn(a.x)==1){
if (sgn(a.y)==1) return 1;
return 7;
}
if (sgn(a.y)==1) return 3;
return 5;
}
bool Cmp(const Point &aa, const Point &bb){
Point a=aa-PP,b=bb-PP;
int f1=get(aa);
int f2=get(bb);
if (f1!=f2) return f1<f2;
return a.y*b.x<b.y*a.x;
// int f1=a.y>0 || a.y==0 && a.x>0;
// int f2=b.y>0 || b.y==0 && b.x>0;
// if (f1!=f2) return f1>f2;
// return (a^b)>0;
// return atan((a-PP).y/(a-PP).x)<atan((b-PP).y/(b-PP).x);
// Point a = aa, b = bb;
// int d = sgn((a - PP) ^ (b - PP));
// if (d == 0) {
// return sgn(a.distance(PP) - b.distance(PP)) < 0;
// }
// return d > 0;
}
// struct cmp {
// Point p;
// cmp(const Point &p0) {p = p0;}
// bool operator() (const Point &aa, const Point &bb) {
// Point a = aa, b = bb;
// int d = sgn((a - p) ^ (b - p));
// if (d == 0) {
// return sgn(a.distance(p) - b.distance(p)) < 0;
// }
// return d > 0;
// }
// } ;
bool flag[N];
struct polygon{
int n;
Point p[N];
struct cmp {
Point p;
cmp(const Point &p0) {p = p0;}
bool operator() (const Point &aa, const Point &bb) {
Point a = aa, b = bb;
int d = sgn((a - p) ^ (b - p));
if (d == 0) {
return sgn(a.distance(p) - b.distance(p)) < 0;
}
return d > 0;
}
} ;
void norm() {
Point mi = p[0];
for (int i = 1; i < n; i++) mi = min(mi, p[i]);
sort(p, p + n, cmp(mi));
// cout << n << endl;
// for (int i = 0; i < n; i++)
// printf("%d %d %d\n", p[i].x, p[i].y, p[i].id);
for (int i = 0; i < n; i++) flag[p[i].id] = 1;
// cout << endl;
}
void getconvex(polygon &convex) {
sort(p, p + n);
for (int i = 0; i < min(n, 2); i++)
convex.p[i] = p[i];
if (convex.n == 2 && (convex.p[0] == convex.p[1]))
convex.n--;
if (n <= 2) return;
int &top = convex.n;
top = 1;
for (int i = 2; i < n; i++) {
while (top && sgn((convex.p[top] - p[i]) ^ (convex.p[top - 1] - p[i])) <= 0) top--;
convex.p[++top] = p[i];
}
int temp = top;
convex.p[++top] = p[n - 2];
for (int i = n - 3; i >= 0; i--) {
while (top != temp && sgn((convex.p[top] - p[i]) ^ (convex.p[top - 1] - p[i])) <= 0) top--;
convex.p[++top] = p[i];
}
if (convex.n == 2 && (convex.p[0] == convex.p[1]))
convex.n--;
convex.norm();
}
} poly, poly1;
int n;
int main() {
n = read();
for (int i = 0; i < n; i++) {
P[i].x = read(), P[i].y = read(), P[i].id = i;
poly.p[i] = P[i];
}
poly.n = n;
poly.getconvex(poly1);
int sum = 0;
// for (int j = 0; j < n; j++)
// printf("%d ", flag[j]);
for (int i = 0; i < n; i++) {
if (flag[P[i].id] == 1) continue;
int cnt = 0;
for (int j = 0; j < n; j++) {
if (j != i) P1[cnt++] = P[j];
}
PP=P[i];
sort(P1, P1 + n - 1,Cmp);
// if (i == 3) {
// cout << PP.x << " " << PP.y << endl;
// for (int j = 0; j < n - 1; j++)
// cout << P1[j].x << " " << P1[j].y << " " << P1[j].id << endl;
// }
// cout << endl;
for (int j = 1; j < n - 1; j++)
if (flag[P1[j].id] == 1 && flag[P1[j - 1].id] == 1) {
sum++;
// cout << P1[j].id << " " << P1[j - 1].id << endl;
}
if (flag[P1[0].id] == 1 && flag[P1[n - 2].id] == 1) {
sum++;
// cout << P1[0].id << " " << P1[n - 2].id << endl;
}
// printf("%d %d\n", i, sum);
}
printf("%d\n", sum + 1);
}
Details
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Test #1:
score: 100
Accepted
time: 1ms
memory: 3584kb
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: 3584kb
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: 1ms
memory: 3780kb
input:
3 0 0 3 0 0 3
output:
1
result:
ok 1 number(s): "1"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3644kb
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: 1ms
memory: 3696kb
input:
4 0 0 0 3 3 0 3 3
output:
1
result:
ok 1 number(s): "1"
Test #6:
score: -100
Wrong Answer
time: 421ms
memory: 3844kb
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:
924
result:
wrong answer 1st numbers differ - expected: '718', found: '924'