QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#602430 | #7906. Almost Convex | qzhfx | TL | 0ms | 4144kb | C++23 | 3.1kb | 2024-10-01 00:56:38 | 2024-10-01 00:56:40 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const int N = 1e6 + 7;
const int mod = 998244353;
const ll eps = 1e-7;
struct Point
{
ll x, y;
Point() {}
Point(ll ax, ll ay)
{
x = ax, y = ay;
}
ll id(){
return x * 2000000ll + y;
}
Point operator-(const Point &b) const
{
return Point(x - b.x, y - b.y);
}
bool operator<(const Point &b) const
{
if (x == b.x)
return y < b.y;
return x < b.x;
}
bool operator==(const Point &b) const
{
return ((x == b.x)) && ((y == b.y));
}
};
ll cross(Point a, Point b)
{
return a.x * b.y - a.y * b.x;
}
int lt(double x, double y)
{
if (x > y)
return 0;
return 1;
}
Point O = {0, 0};
double theta(auto p) { return atan2(p.y, p.x); } // 求极角
void psort(vector<Point> &ps, Point c = O) // 极角排序
{
sort(ps.begin(), ps.end(), [&](auto p1, auto p2)
{ return lt(theta(p1 - c), theta(p2 - c)); });
}
std::vector<Point> getHull(std::vector<Point> p)
{
std::vector<Point> h, l;
std::sort(p.begin(), p.end(), [&](auto a, auto b)
{
if (a.x != b.x) {
return a.x < b.x;
} else {
return a.y < b.y;
} });
p.erase(std::unique(p.begin(), p.end()), p.end());
if (p.size() <= 1)
{
return p;
}
for (auto a : p)
{
while (h.size() > 1 && lt(cross(a - h.back(), a - h[h.size() - 2]), 0))
{
h.pop_back();
}
while (l.size() > 1 && lt(0, cross(a - l.back(), a - l[l.size() - 2])))
{
l.pop_back();
}
l.push_back(a);
h.push_back(a);
}
l.pop_back();
std::reverse(h.begin(), h.end());
h.pop_back();
l.insert(l.end(), h.begin(), h.end());
return l;
}
void solve()
{
int n;
cin >> n;
vector<Point> p;
for (int i = 0; i < n; i++)
{
ll x, y;
cin >> x >> y;
p.push_back({x, y});
}
auto h = getHull(p);
int ans = 1;
map<Point, int> pm;
for (auto x : h)
{
pm[x] = 1;
}
map<pair<ll, ll>, int> mp;
for (int j = 1; j < h.size(); j++)
{
mp[{h[j - 1].id(), h[j].id()}] = 1;
mp[{h[j].id(), h[j - 1].id()}] = 1;
}
mp[{h.back().id(), h[0].id()}] = mp[{h[0].id(), h.back().id()}] = 1;
for (int i = 0; i < n; i++)
{
if (pm[p[i]])
continue;
vector<Point> v;
for (int j = 0; j < n; j++)
{
if (i == j)
continue;
v.push_back(p[j]);
}
psort(v, p[i]);
for (int j = 1; j < v.size(); j++)
{
if (mp[{v[j].id(), v[j - 1].id()}])
{
ans++;
}
}
if (mp[{v.back().id(), v[0].id()}])
ans++;
}
cout << ans << '\n';
}
int main()
{
ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
int _ = 1;
// cin >> _;
while (_--)
solve();
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3916kb
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: 3952kb
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: 0ms
memory: 3644kb
input:
3 0 0 3 0 0 3
output:
1
result:
ok 1 number(s): "1"
Test #4:
score: 0
Accepted
time: 0ms
memory: 4144kb
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: 0ms
memory: 3784kb
input:
4 0 0 0 3 3 0 3 3
output:
1
result:
ok 1 number(s): "1"
Test #6:
score: -100
Time Limit Exceeded
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...