Submission #1202670

#TimeUsernameProblemLanguageResultExecution timeMemory
1202670loomTriangles (CEOI18_tri)C++20
20 / 100
0 ms400 KiB
#include<bits/stdc++.h>
#include "trilib.h"
using namespace std;
#define inf 5e18
#define nl '\n'
 
bool cmp(int a, int b){
   return is_clockwise(1, a, b);
}

vector<int> func(vector<int>& v){
   sort(v.begin(), v.end(), cmp);
   vector<int> ans;
   ans.push_back(1);

   for(int x : v){
      while(ans.size() >= 2 and !is_clockwise(ans[ans.size()-2], ans.back(), x)) ans.pop_back();
      ans.push_back(x);
   }
   return ans;
}

inline void solve(){
   int n = get_n();

   vector<int> a{2}, b{2};
   for(int i=3; i<=n; i++){
      (is_clockwise(1, 2, i) ? b : a).push_back(i);
   }

   a = func(a);
   int sa = a.size();
   b = func(b);
   int sb = b.size();

   int ans = sa + sb - 2;
   if(min(sa, sb) > 2 and is_clockwise(b[sb-1], a[1], 1)) ans--;
   if(min(sa, sb) > 2 and !is_clockwise(b[2], a[sa-2], 2)) ans--;

   give_answer(ans);
}

signed main(){
   int t = 1;
   //cin>>t;
   while(t--) solve();

   return 0;
}
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