Problem:
Score : 300 points

Problem Statement

You are given an array A of length N.
Your task is to divide it into several contiguous subarrays.
Here, all subarrays obtained must be sorted in either non-decreasing or non-increasing order.
At least how many subarrays do you need to divide A into?

Constraints

1 \leq N \leq 10^5

1 \leq A_i \leq 10^9

Each A_i is an integer.

Input

Input is given from Standard Input in the following format:

N
A_1 A_2 ... A_N

Output

Print the minimum possible number of subarrays after division of A.

Sample Input 1

6
1 2 3 2 2 1

Sample Output 1

2

One optimal solution is to divide the array into [1,2,3] and [2,2,1].

Sample Input 2

9
1 2 1 2 1 2 1 2 1

Sample Output 2

5

Sample Input 3

7
1 2 3 2 1 999999999 1000000000

Sample Output 3

3

Solution in C++14 (GCC 5.4.1) (judge verdict: Accepted)

#define NDEBUG
NDEBUG


#include <algorithm>
#include <cassert>
#include <cstring>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <set>
#include <sstream>
#include <string>
#include <tuple>
#include <unordered_map>
#include <unordered_set>
#include <vector>
#include <memory>
#include <random>

#define FOR(i, n) for (int i = 0; i < (n); ++i)


using namespace std;

// TC_REMOVE_BEGIN
/// caide keep
bool __hack = std::ios::sync_with_stdio(false);
/// caide keep
auto __hack1 = cin.tie(nullptr);
// TC_REMOVE_END


namespace template_util {
    

    constexpr int bytecount(uint64_t x) {
        return x ? 1 + bytecount(x >> 8) : 0;
    }

    /// caide keep
    template<int N>
    struct bytetype {
        
    };

    /// caide keep
    template<>
    struct bytetype<4> {
        
    };

    /// caide keep
    template<>
    struct bytetype<3> {
        
    };

    /// caide keep
    template<>
    struct bytetype<2> {
        
    };

    /// caide keep
    template<>
    struct bytetype<1> {
        
    };

    /// caide keep
    template<>
    struct bytetype<0> {
        
    };

    /// caide keep
    template<uint64_t N>
    struct minimal_uint : bytetype<bytecount(N)> {
    };
}


template<class T>
T next(istream& in) {
    T ret;
    in >> ret;
    return ret;
}

template<class T>
vector<T> next_vector(istream& in, size_t n) {
    vector<T> ret(n);
    for (size_t i = 0; i < n; ++i) {
        ret[i] = next<T>(in);
    }
    return ret;
}


void solve(istream& in, ostream& out) {
    int n = next<int>(in);
    auto v = next_vector<int>(in, n);
    vector<int> temp;
    temp.push_back(v[0]);
    FOR(i, v.size()) if (i) {
        if (v[i] == v[i-1]) continue;
        temp.push_back(v[i]);
    }
    int res = 0;
    v = temp;
    if (v.size() <= 2) {
        out << 1 << endl;
        return;
    }
    int cur = v[1] > v[0] ? 1 : -1;
    for (int i = 2; i < v.size(); ++i) {
        int d = v[i] > v[i-1] ? 1 : -1;
        if (d != cur) {
            ++res;
            if (i + 1 < v.size()) {
                cur = v[i + 1] > v[i] ? 1 : -1;
            } else {
                cur = 0;
            }
        }
    }
    ++res;
    out << res << endl;
}


int main() {
    solve(cin, cout);
    return 0;
}