#include<bits/stdc++.h>
using namespace std;
#define fast ios::sync_with_stdio(false);cin.tie(NULL)
#define fi first
#define se second
#define all(v) (v).begin(),(v).end()
#define pb push_back
#define eb emplace_back
#define em emplace
#define pre(a) cout<<fixed; cout.precision(a)
#define mp make_pair
typedef long long ll;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
const ll INF = 1e18;
const int inf = 1e9;
const ll Mod = inf + 7;
int n;
ll ans;
vector<pair<pll, int>> v;
ll x[100010];
ll y[100010];
int c[100010];
vector<int> st;
vector<int> one, two;
ll cnt;
ll ccw(pll a, pll b, pll c) {
return (b.first - a.first) * (c.second - a.second) - (b.second - a.second) * (c.first - a.first);
}
int main() {
fast;
cin >> n;
for(int i=0; i<n; i++) {
cin >> x[i] >> y[i] >> c[i];
v.eb(mp(x[i], y[i]), c[i]);
if(!c[i]) cnt++;
}
sort(all(v));
sort(v.begin()+1, v.end(), [](pair<pll, int> a, pair<pll, int> b) {
return ccw(v[0].fi, a.fi, b.fi) < 0;
});
st.eb(0);
st.eb(1);
for(int i=2; i<v.size(); i++) {
while(st.size() >= 2) {
int s = st.back();
st.pop_back();
int f = st.back();
if(ccw(v[f].fi, v[s].fi, v[i].fi) < 0) {
st.eb(s);
break;
}
}
st.eb(i);
}
for(int i = 0; i < st.size(); i++) {
if(v[st[i]].se == 1) one.eb(i);
else if(v[st[i]].se == 2) two.eb(i);
else cnt--;
}
if(one.size() + two.size() == 0) {
ll k = st.size() - 1;
ans = k * (k+1) + 2;
ans %= Mod;
}
else if(two.size() == 0) {
ans++;
for(int i=1; i<one.size(); i++) {
ll k = one[i] - one[i-1] - 1;
ans += k * (k+1) / 2;
ans %= Mod;
}
ll k = st.size() + one[0] - one.back() - 1;
ans += k * (k+1) / 2;
ans %= Mod;
}
else if(one.size() == 0) {
ans++;
for(int i=1; i<two.size(); i++) {
ll k = two[i] - two[i-1] - 1;
ans += k * (k+1) / 2;
ans %= Mod;
}
ll k = st.size() + two[0] - two.back() - 1;
ans += k * (k+1) / 2;
ans %= Mod;
}
else if(one.front() < two.front()) {
bool flag = false;
for(auto i : one) {
if(two.front() < i && i < two.back()) {
flag = true;
}
}
if(!flag) {
ll l = lower_bound(all(one), two.front()) - one.begin() - 1;
l = two.front() - one[l];
ll r = lower_bound(all(one), two.back()) - one.begin();
if(r == one.size()) r = st.size() + one.front() - two.back();
else r = one[r] - two.back();
ans += l * r;
ans %= Mod;
}
}
else {
bool flag = false;
for(auto i : two) {
if(one.front() < i && i < one.back()) {
flag = true;
}
}
if(!flag) {
ll l = lower_bound(all(two), one.front()) - two.begin() - 1;
l = one.front() - two[l];
ll r = lower_bound(all(two), one.back()) - two.begin();
if(r == two.size()) r = st.size() + two.front() - one.back();
else r = two[r] - one.back();
ans += l * r;
ans %= Mod;
}
}
for(int i=0; i<cnt; i++) {
ans *= 2;
ans %= Mod;
}
cout << ans;
}
Compilation message
constellation.cpp: In function 'int main()':
constellation.cpp:55:16: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i=2; i<v.size(); i++) {
~^~~~~~~~~
constellation.cpp:70:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i = 0; i < st.size(); i++) {
~~^~~~~~~~~~~
constellation.cpp:83:17: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i=1; i<one.size(); i++) {
~^~~~~~~~~~~
constellation.cpp:95:17: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i=1; i<two.size(); i++) {
~^~~~~~~~~~~
constellation.cpp:118:9: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
if(r == one.size()) r = st.size() + one.front() - two.back();
~~^~~~~~~~~~~~~
constellation.cpp:138:9: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
if(r == two.size()) r = st.size() + two.front() - one.back();
~~^~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
384 KB |
Output is correct |
2 |
Incorrect |
0 ms |
384 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
1 ms |
384 KB |
Output is correct |
3 |
Correct |
1 ms |
384 KB |
Output is correct |
4 |
Incorrect |
1 ms |
384 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
384 KB |
Output is correct |
2 |
Correct |
1 ms |
384 KB |
Output is correct |
3 |
Correct |
1 ms |
384 KB |
Output is correct |
4 |
Incorrect |
1 ms |
384 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
1 ms |
384 KB |
Output is correct |
3 |
Correct |
1 ms |
384 KB |
Output is correct |
4 |
Incorrect |
1 ms |
384 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
1 ms |
384 KB |
Output is correct |
3 |
Correct |
1 ms |
384 KB |
Output is correct |
4 |
Incorrect |
1 ms |
384 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Incorrect |
3 ms |
896 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
66 ms |
6912 KB |
Output is correct |
3 |
Incorrect |
1 ms |
384 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
67 ms |
6880 KB |
Output is correct |
3 |
Incorrect |
1 ms |
384 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
64 ms |
6944 KB |
Output is correct |
3 |
Correct |
60 ms |
7552 KB |
Output is correct |
4 |
Correct |
61 ms |
7396 KB |
Output is correct |
5 |
Correct |
60 ms |
7396 KB |
Output is correct |
6 |
Incorrect |
1 ms |
384 KB |
Output isn't correct |
7 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
65 ms |
6888 KB |
Output is correct |
3 |
Incorrect |
64 ms |
6884 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |