#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int,int> pp;
typedef pair<ll,ll> pll;
void read(int& x){ scanf("%d",&x); }
void read(ll& x){ scanf("%lld",&x); }
template<typename T,typename... Args>
void read(T& a,Args&... b){ read(a); read(b...); }
#define all(x) (x).begin(),(x).end()
#define pb push_back
#define eb emplace_back
#define x first
#define y second
pp operator-(pp a,pp b){ return {a.x-b.x, a.y-b.y}; }
pair<pp,int> d[100010];
int n;
bool ccw(pp a, pp b){ return ll(b.y)*a.x-ll(b.x)*a.y>0; }
bool ccw(pp a, pp b, pp c){ return ccw(b-a, c-a); }
int hu[100010], hn;
int stk[100010], top;
void H(){
top=1;
for(int i=1; i<n; ++i){
while(top>=2 && ccw(d[stk[top-2]].x, d[stk[top-1]].x, d[i].x)) --top;
stk[top++] = i;
}
for(int i=0; i<top-1; ++i) hu[hn++]=d[stk[i]].y;
}
const ll m=1'000'000'007;
ll Ans(ll x){ ll r=1; for(;x--;) (r*=2)%=m; return r; }
ll Ans2(ll x){ return x*(x+1)/2%m;}
int main()
{
read(n);
int cnt[3]={0,0,0};
for(int i=0; i<n; ++i){
int a, b, c; read(a, b, c); d[i]={{a, b}, c}; ++cnt[c];
}
sort(d, d+n); H(); reverse(d, d+n); H();
int hc[3]={0,0,0};
for(int i=0; i<hn; ++i) ++hc[hu[i]];
ll in=Ans(cnt[0]-hc[0]);
int safe=int(!cnt[1])+!cnt[2];
if(!hc[1] || !hc[2]){
if(hc[0]==hn){
printf("%lld\n", (in*(hn*(hn-1ll)%m+2)%m + m-safe) % m);
return 0;
}
ll ans=1;
int l=0, r=hn-1;
while(!hu[l]) ++l; while(!hu[r]) --r;
int cc=l+hn-1-r;
for(int i=l; i<=r; ++i){
if(hu[i]){
(ans+=Ans2(cc))%=m; cc=0;
} else ++cc;
}
printf("%lld\n", (in*ans%m + m-safe)%m);
return 0;
}
rotate(hu,find(hu,hu+hn,1),hu+hn);
int l=0, r=hn-1;
while(hu[l]!=2) ++l; while(hu[r]!=2) --r;
if(count(hu+l, hu+r+1, 1)){ puts("0"); return 0; }
int cl=1, cr=1;
while(l && !hu[l-1]) ++cl, --l;
while(r+1<hn && !hu[r+1]) ++cr, ++r;
printf("%lld\n", (in*cl%m*cr%m + m-safe) % m);
return 0;
}
Compilation message
constellation.cpp: In function 'int main()':
constellation.cpp:56:3: warning: this 'while' clause does not guard... [-Wmisleading-indentation]
while(!hu[l]) ++l; while(!hu[r]) --r;
^~~~~
constellation.cpp:56:22: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'while'
while(!hu[l]) ++l; while(!hu[r]) --r;
^~~~~
constellation.cpp:68:2: warning: this 'while' clause does not guard... [-Wmisleading-indentation]
while(hu[l]!=2) ++l; while(hu[r]!=2) --r;
^~~~~
constellation.cpp:68:23: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'while'
while(hu[l]!=2) ++l; while(hu[r]!=2) --r;
^~~~~
constellation.cpp: In function 'void read(int&)':
constellation.cpp:6:25: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
void read(int& x){ scanf("%d",&x); }
~~~~~^~~~~~~~~
constellation.cpp: In function 'void read(ll&)':
constellation.cpp:7:24: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
void read(ll& x){ scanf("%lld",&x); }
~~~~~^~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
384 KB |
Output is correct |
2 |
Correct |
0 ms |
384 KB |
Output is correct |
3 |
Correct |
0 ms |
384 KB |
Output is correct |
4 |
Correct |
0 ms |
384 KB |
Output is correct |
5 |
Correct |
0 ms |
384 KB |
Output is correct |
6 |
Correct |
0 ms |
384 KB |
Output is correct |
7 |
Correct |
0 ms |
384 KB |
Output is correct |
8 |
Correct |
0 ms |
384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
0 ms |
384 KB |
Output is correct |
3 |
Correct |
1 ms |
384 KB |
Output is correct |
4 |
Correct |
1 ms |
384 KB |
Output is correct |
5 |
Correct |
1 ms |
384 KB |
Output is correct |
6 |
Correct |
1 ms |
384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
0 ms |
384 KB |
Output is correct |
3 |
Correct |
1 ms |
384 KB |
Output is correct |
4 |
Correct |
1 ms |
384 KB |
Output is correct |
5 |
Correct |
1 ms |
384 KB |
Output is correct |
6 |
Correct |
1 ms |
384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
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 |
Correct |
1 ms |
384 KB |
Output is correct |
5 |
Correct |
1 ms |
384 KB |
Output is correct |
6 |
Correct |
1 ms |
384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
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 |
Correct |
1 ms |
384 KB |
Output is correct |
5 |
Correct |
1 ms |
384 KB |
Output is correct |
6 |
Correct |
1 ms |
384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
3 ms |
512 KB |
Output is correct |
3 |
Correct |
3 ms |
512 KB |
Output is correct |
4 |
Correct |
3 ms |
512 KB |
Output is correct |
5 |
Correct |
3 ms |
512 KB |
Output is correct |
6 |
Correct |
1 ms |
384 KB |
Output is correct |
7 |
Correct |
3 ms |
512 KB |
Output is correct |
8 |
Correct |
3 ms |
512 KB |
Output is correct |
9 |
Correct |
3 ms |
512 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
60 ms |
2168 KB |
Output is correct |
3 |
Correct |
1 ms |
384 KB |
Output is correct |
4 |
Correct |
62 ms |
2124 KB |
Output is correct |
5 |
Correct |
59 ms |
2680 KB |
Output is correct |
6 |
Correct |
1 ms |
384 KB |
Output is correct |
7 |
Correct |
3 ms |
512 KB |
Output is correct |
8 |
Correct |
3 ms |
512 KB |
Output is correct |
9 |
Correct |
3 ms |
512 KB |
Output is correct |
10 |
Correct |
59 ms |
2684 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
60 ms |
2168 KB |
Output is correct |
3 |
Correct |
1 ms |
384 KB |
Output is correct |
4 |
Correct |
60 ms |
2168 KB |
Output is correct |
5 |
Correct |
58 ms |
2680 KB |
Output is correct |
6 |
Correct |
1 ms |
384 KB |
Output is correct |
7 |
Correct |
4 ms |
512 KB |
Output is correct |
8 |
Correct |
3 ms |
512 KB |
Output is correct |
9 |
Correct |
3 ms |
512 KB |
Output is correct |
10 |
Correct |
67 ms |
2680 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
60 ms |
2168 KB |
Output is correct |
3 |
Correct |
57 ms |
2680 KB |
Output is correct |
4 |
Correct |
59 ms |
2680 KB |
Output is correct |
5 |
Correct |
58 ms |
2684 KB |
Output is correct |
6 |
Correct |
1 ms |
384 KB |
Output is correct |
7 |
Correct |
3 ms |
512 KB |
Output is correct |
8 |
Correct |
5 ms |
512 KB |
Output is correct |
9 |
Correct |
3 ms |
512 KB |
Output is correct |
10 |
Correct |
59 ms |
2680 KB |
Output is correct |
11 |
Correct |
58 ms |
2680 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
62 ms |
2168 KB |
Output is correct |
3 |
Correct |
61 ms |
2168 KB |
Output is correct |
4 |
Correct |
57 ms |
2680 KB |
Output is correct |
5 |
Correct |
71 ms |
2680 KB |
Output is correct |
6 |
Correct |
60 ms |
2680 KB |
Output is correct |
7 |
Correct |
5 ms |
512 KB |
Output is correct |
8 |
Correct |
3 ms |
512 KB |
Output is correct |
9 |
Correct |
3 ms |
512 KB |
Output is correct |
10 |
Correct |
37 ms |
1920 KB |
Output is correct |