Submission #618774

#TimeUsernameProblemLanguageResultExecution timeMemory
618774errayTriangles (CEOI18_tri)C++14
0 / 100
1 ms212 KiB
// author: erray
#include <bits/stdc++.h>

#include "trilib.h"

using namespace std;

#ifdef DEBUG
  #include "/home/eagle/debug.h"
#else
  #define debug(...) void(37)
#endif

mt19937 rng(37);

int main() {
  int N = get_n(); //init is here
  auto Ask = [&](int a, int b, int c) {
    return is_clockwise(a + 1, b + 1, c + 1);
  };
  
  int pivot = uniform_int_distribution<int>(0, N - 1)(rng);
  function<vector<int>(vector<int>)> Dfs = [&](vector<int> p) {
    int s = int(p.size());
    if (s < 2) {
	  return p;
	}
    int mid = uniform_int_distribution<int>(0, s - 1)(rng);
    array<vector<int>, 2> split;
    for (int i = 0; i < s; ++i) {
	  if (i != mid) {
	    split[Ask(pivot, p[mid], p[i])].push_back(p[i]);
	  }
	}
	auto left = Dfs(split[0]);
	left.push_back(p[mid]);
	auto right = Dfs(split[1]);
	left.insert(left.end(), right.begin(), right.end());
	return left;
  };
  vector<int> ord(N);
  iota(ord.begin(), ord.end(), 0);
  ord.erase(ord.begin() + pivot);
  ord = Dfs(ord);
  bool pivot_convex = true;
  for (int i = 0; i < N; ++i) {
    if (i != ord.back() && i != pivot) {
	  pivot_convex &= Ask(ord.back(), pivot, i);
	}
  }
  if (pivot_convex) {
    ord.push_back(pivot);
  }
  vector<int> st;
  for (auto i : ord) {
	while (int(st.size()) >= 2 && !Ask(st[int(st.size()) - 2], st.back(), i)) {
	  st.pop_back();
	}
  }
  cout << int(st.size()) << '\n';
}

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