This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*
Author: Nguyen Tan Bao
Status:
Idea:
*/
#include <bits/stdc++.h>
#include "trilib.h"
#define FI first
#define SE second
#define EPS 1e-9
#define ALL(a) a.begin(),a.end()
#define SZ(a) int((a).size())
#define MS(s, n) memset(s, n, sizeof(s))
#define FOR(i,a,b) for (int i = (a); i <= (b); i++)
#define FORE(i,a,b) for (int i = (a); i >= (b); i--)
#define FORALL(it, a) for (__typeof((a).begin()) it = (a).begin(); it != (a).end(); it++)
//__builtin_ffs(x) return 1 + index of least significant 1-bit of x
//__builtin_clz(x) return number of leading zeros of x
//__builtin_ctz(x) return number of trailing zeros of x
using namespace std;
using ll = long long;
using ld = double;
typedef pair<int, int> II;
typedef pair<II, int> III;
typedef complex<ld> cd;
typedef vector<cd> vcd;
const ll MODBASE = 1000000007LL;
const int MAXN = 110;
const int MAXM = 1000;
const int MAXK = 16;
const int MAXQ = 200010;
int n;
vector<int> lef, rig, cmb, convexHull;
bool cmp(int a, int b) {
return is_clockwise(n,a,b);
}
int main() {
ios::sync_with_stdio(0);
cin.tie(nullptr);
n = get_n();
FOR(i,2,n-1)
if (is_clockwise(n,i,1)) lef.push_back(i);
else rig.push_back(i);
sort(ALL(lef), cmp);
sort(ALL(rig), cmp);
cmb.push_back(n);
for (int x : lef) cmb.push_back(x);
cmb.push_back(1);
for (int x : rig) cmb.push_back(x);
convexHull.push_back(cmb[0]);
convexHull.push_back(cmb[1]);
FOR(i,2,SZ(cmb)-1) {
while (SZ(convexHull) >= 2 && !is_clockwise(convexHull[SZ(convexHull)-2], convexHull[SZ(convexHull)-1], cmb[i])) convexHull.pop_back();
convexHull.push_back(cmb[i]);
}
int la = SZ(convexHull)-1;
int fi = 0;
while (la - fi + 1 >= 3) {
if (!is_clockwise(convexHull[la], convexHull[fi], convexHull[fi+1])) fi++;
else if (!is_clockwise(convexHull[la-1], convexHull[la], convexHull[fi])) la--;
else break;
}
give_answer(max(3, la-fi+1));
return 0;
}
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