This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "trilib.h"
#include <bits/stdc++.h>
using namespace std;
//------------------------------DEFINE------------------------------
//******************************************************************
#define IOS ios_base::sync_with_stdio(false); cin.tie(0),cout.tie(0)
#define ll unsigned long long
#define pb push_back
#define F first
#define S second
#define INF 1e18
#define all(v) (v).begin(),(v).end()
#define rall(v) (v).rbegin(),(v).rend()
#define pii pair<int,int>
#define pll pair<ll,ll>
#define OK cout<<"Ok"<<endl;
#define MOD (ll)(1e9+7)
#define endl "\n"
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
//******************************************************************
//----------------------------FUNCTION------------------------------
//******************************************************************
ll gcd(ll a,ll b){
if(a>b) swap(a,b);
if(a==0) return a+b;
return gcd(b%a,a);
}
ll lcm(ll a,ll b){
return a/gcd(a,b)*b;
}
bool is_prime(ll n){
ll k=sqrt(n);
if(n==2) return true;
if(n<2||n%2==0||k*k==n) return false;
for(int i=3;i<=k;i+=2){
if(n%i==0){
return false;
}
}
return true;
}
//*****************************************************************
//--------------------------MAIN-CODE------------------------------
const int mxn=2e5+5;
int t=1,n;
map<pair<int,pii>,int>mp;
void solve(){
n=get_n();
int a=1,b=2;
for(int i=3;i<=n;i++){
int res=is_clockwise(a,b,i);
if(res==1){
b=i;
}
}
int node=b;
//if(is_clockwise(2,b,1)){
//node=1;
//}
set<int>st;
st.insert(node);
bool ok=true;
//cout<<node<<endl;
while(ok){
//cout<<node<<endl;
vector<int>vt(n);
iota(all(vt),1);
while(vt.size()>1){
int x=0;
while(1){
int idx=rng()%((int)vt.size());
x=vt[idx];
if(x!=node) break;
}
vector<int>nw;
for(int i=0;i<vt.size();i++){
if(node==vt[i]||x==vt[i]) continue;
int res=is_clockwise(node,x,vt[i]);
if(res==0){
nw.pb(vt[i]);
}
}
if(nw.size()==0){
node=x;
if(!st.count(node)){
st.insert(node);
}
else{
ok=false;
}
break;
}
else if(nw.size()==1){
node=nw[0];
if(!st.count(node)){
st.insert(node);
}
else{
ok=false;
}
break;
}
vt=nw;
}
}
int ans=st.size();
give_answer(ans);
}
int main(){
//IOS;
//cin>>t;
while(t--){
solve();
}
return 0;
}
/*
g++ tri.cpp trilib.c ; .\a.exe
9
1 1
4 3
2 2
1 4
5 1
3 2
0 0
1000 0
0 1000
6
0 0
1 -1
2 0
0 1
-1 2
0 3
*/
Compilation message (stderr)
tri.cpp: In function 'bool is_prime(long long unsigned int)':
tri.cpp:36:18: warning: comparison of integer expressions of different signedness: 'int' and 'long long unsigned int' [-Wsign-compare]
36 | for(int i=3;i<=k;i+=2){
| ~^~~
tri.cpp: In function 'void solve()':
tri.cpp:77:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
77 | for(int i=0;i<vt.size();i++){
| ~^~~~~~~~~~
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