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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#300057 | #7906. Almost Convex | defyers# | WA | 10ms | 3884kb | C++17 | 2.3kb | 2024-01-07 17:02:44 | 2024-01-07 17:02:44 |
Judging History
answer
#include <bits/stdc++.h>
#define all(a) (a).begin(), (a).end()
#define sz(a) (int) (a).size()
#define forn(i, n) for(int i = 0; i < (n); i++)
#define int long long
using namespace std;
typedef long long ll;
typedef long double LD;
struct P{
int x, y, id;
bool operator< (P p) const { return tie(x, y) < tie(p.x, p.y); }
bool operator== (const P& o) const { return x == o.x && y == o.y; }
P operator+ (P p) const { return {x + p.x, y + p.y}; }
P operator- (P p) const { return {x - p.x, y - p.y}; }
int cross(P p) const { return x * p.y - y * p.x; }
int dot(P p) const { return x * p.x + y * p.y; }
int cross(P a, P b) const { return (a - *this).cross(b - *this); }
int dist2() const { return x * x + y * y; }
LD dist() const { return sqrt((LD) dist2()); }
};
vector<P> convexHull(vector<P> pts) {
if(sz(pts) <= 1) return pts;
sort(all(pts));
vector<P> h(sz(pts)+1);
int s = 0, t = 0;
for (int it = 2; it--; s = --t, reverse(all(pts)))
for (P p : pts) {
while(t >= s + 2 && h[t - 2].cross(h[t - 1], p) <= 0) t--;
h[t++] = p;
}
return {h.begin(), h.begin() + t - (t == 2 && h[0] == h[1])};
}
const int N = 2e3 + 11;
bool not_in[N];
LD angle(P a, P b, P c){
return abs((a - b).dot(b - c) / (a - b).dist() / (b - c).dist());
}
void solve(){
int n; cin >> n;
vector<P> a;
for(int i = 0; i < n; i++){
int x, y; cin >> x >> y;
a.push_back({x, y, i});
}
vector<P> C = convexHull(a);
for(auto [x, y, id] : C){
not_in[id] = true;
}
vector<int> in;
for(int i = 0; i < n; i++){
if(!not_in[i]) in.push_back(i);
}
int ans = 1;
for(int i = 0; i < sz(C); i++){
P A = C[i], B = C[(i + 1) % sz(C)];
vector<pair<LD, LD>> angles;
for(auto x : in){
angles.push_back({angle(A, B, a[x]), angle(B, A, a[x])});
}
sort(angles.begin(), angles.end());
LD cur_min = 1 << 30;
for(auto [x, y] : angles){
if(y < cur_min)
ans++;
cur_min = min(cur_min, y);
}
}
cout << ans << '\n';
}
int32_t main(){
cin.tie(0)->sync_with_stdio(false);
int t = 1; // cin >> t;
while(t--){
solve();
}
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3500kb
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: 3540kb
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: 3408kb
input:
3 0 0 3 0 0 3
output:
1
result:
ok 1 number(s): "1"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3464kb
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: 3520kb
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: 10ms
memory: 3884kb
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:
829
result:
wrong answer 1st numbers differ - expected: '718', found: '829'