#include <bits/stdc++.h>
#define va first
#define vb second
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
struct Vec {
ll x, y, c, i;
Vec operator-(Vec a) {
return {x-a.x, y-a.y};
}
ll operator*(Vec a) {
return x*a.y - y*a.x;
}
};
int N;
ll Lcnt[5000050][3], Rcnt[5000050][3];
Vec A[3030];
vector<Vec> pt[3];
vector<pii> v;
void solve(int t) {
sort(pt[t].begin(), pt[t].end(), [&](Vec a, Vec b) {
if (a.x != b.x) return a.x < b.x;
return a.y < b.y;
});
int idx[3030]; memset(idx, 0, sizeof idx);
for (int i=0; i<pt[t].size(); i++) {
idx[pt[t][i].i] = i;
}
for (int i=0; i<v.size(); i++) {
int a = v[i].va, b = v[i].vb;
Vec d = A[b] - A[a];
int lo = 0, hi = pt[t].size();
while (lo<hi) {
int mid = lo+hi+1>>1;
Vec x = pt[t][mid-1] - A[a];
if (d*x < 0) lo = mid;
else hi = mid-1;
}
Lcnt[i][t] = lo;
lo = 0, hi = pt[t].size();
while (lo<hi) {
int mid = lo+hi>>1;
Vec x = pt[t][mid] - A[a];
if (d*x > 0) hi = mid;
else lo = mid+1;
}
Rcnt[i][t] = pt[t].size() - lo;
if (A[a].c != t || A[b].c != t) continue;
swap(pt[t][idx[A[a].i]], pt[t][idx[A[b].i]]);
swap(idx[A[a].i], idx[A[b].i]);
}
}
int main() {
cin.tie(0); ios_base::sync_with_stdio(0);
cin >> N;
for (int i=0; i<N; i++) {
cin >> A[i].x >> A[i].y >> A[i].c; A[i].i = i;
pt[A[i].c].push_back(A[i]);
}
for (int i=0; i<N; i++) {
for (int j=0; j<N; j++) {
if (i == j) continue;
if (A[i].x < A[j].x) v.push_back({i, j});
if (A[i].x == A[j].x && A[i].y < A[j].y) v.push_back({i, j});
}
}
sort(v.begin(), v.end(), [&](pii a, pii b) {
Vec p = A[a.vb] - A[a.va];
Vec q = A[b.vb] - A[b.va];
ll t = p*q;
return t>0;
});
for (int i=0; i<3; i++) solve(i);
ll ans = 0;
for (int i=0; i<v.size(); i++) {
int p = A[v[i].va].c, q = A[v[i].vb].c;
ll lp=1, rp=1, lq=1, rq=1;
for (int j=0; j<3; j++) {
if (j != p) lp *= Lcnt[i][j], rp *= Rcnt[i][j];
if (j != q) lq *= Lcnt[i][j], rq *= Rcnt[i][j];
}
ans += lp*rq + rp*lq;
}
cout << ans/2;
}
Compilation message
constellation2.cpp: In function 'void solve(int)':
constellation2.cpp:32:17: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for (int i=0; i<pt[t].size(); i++) {
~^~~~~~~~~~~~~
constellation2.cpp:35:17: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for (int i=0; i<v.size(); i++) {
~^~~~~~~~~
constellation2.cpp:41:19: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
int mid = lo+hi+1>>1;
~~~~~^~
constellation2.cpp:51:16: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
int mid = lo+hi>>1;
~~^~~
constellation2.cpp: In function 'int main()':
constellation2.cpp:90:17: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for (int i=0; i<v.size(); i++) {
~^~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
380 KB |
Output is correct |
3 |
Correct |
3 ms |
376 KB |
Output is correct |
4 |
Correct |
2 ms |
376 KB |
Output is correct |
5 |
Correct |
2 ms |
376 KB |
Output is correct |
6 |
Correct |
2 ms |
376 KB |
Output is correct |
7 |
Correct |
2 ms |
376 KB |
Output is correct |
8 |
Correct |
2 ms |
376 KB |
Output is correct |
9 |
Correct |
2 ms |
424 KB |
Output is correct |
10 |
Correct |
2 ms |
376 KB |
Output is correct |
11 |
Correct |
2 ms |
376 KB |
Output is correct |
12 |
Correct |
2 ms |
376 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
3 ms |
504 KB |
Output is correct |
3 |
Correct |
4 ms |
760 KB |
Output is correct |
4 |
Correct |
7 ms |
1144 KB |
Output is correct |
5 |
Correct |
11 ms |
1664 KB |
Output is correct |
6 |
Correct |
25 ms |
3064 KB |
Output is correct |
7 |
Correct |
24 ms |
3064 KB |
Output is correct |
8 |
Correct |
23 ms |
3068 KB |
Output is correct |
9 |
Correct |
22 ms |
2932 KB |
Output is correct |
10 |
Correct |
17 ms |
2172 KB |
Output is correct |
11 |
Correct |
25 ms |
3064 KB |
Output is correct |
12 |
Correct |
24 ms |
3064 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
212 ms |
18120 KB |
Output is correct |
2 |
Correct |
228 ms |
22848 KB |
Output is correct |
3 |
Correct |
345 ms |
27996 KB |
Output is correct |
4 |
Correct |
347 ms |
27908 KB |
Output is correct |
5 |
Correct |
871 ms |
62268 KB |
Output is correct |
6 |
Correct |
1311 ms |
110268 KB |
Output is correct |
7 |
Correct |
2649 ms |
172056 KB |
Output is correct |
8 |
Correct |
3717 ms |
247612 KB |
Output is correct |
9 |
Correct |
4038 ms |
247340 KB |
Output is correct |
10 |
Correct |
4048 ms |
247536 KB |
Output is correct |
11 |
Correct |
4009 ms |
247452 KB |
Output is correct |
12 |
Correct |
3232 ms |
247252 KB |
Output is correct |
13 |
Correct |
3588 ms |
247364 KB |
Output is correct |
14 |
Correct |
4003 ms |
247348 KB |
Output is correct |
15 |
Correct |
4008 ms |
247188 KB |
Output is correct |
16 |
Correct |
3467 ms |
247300 KB |
Output is correct |