#include <bits/stdc++.h>
using namespace std;
#define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i<i##_end_;i++)
#define REP(i, n) FOR(i,0,n)
template <typename T> bool chmax(T &m, const T q) { if (m < q) {m = q; return true;} else return false; }
template <typename T> bool chmin(T &m, const T q) { if (m > q) {m = q; return true;} else return false; }

// 0-indexed BIT (binary indexed tree / Fenwick tree) (i : [0, len))
template <typename T> struct BIT {
    int n;
    std::vector<T> data;
    BIT(int len = 0) : n(len), data(len) {}
    void reset() { std::fill(data.begin(), data.end(), T(0)); }
    void add(int pos, T v) { // a[pos] += v
        pos++;
        while (pos > 0 and pos <= n) data[pos - 1] += v, pos += pos & -pos;
    }
    T sum(int k) const { // a[0] + ... + a[k - 1]
        T res = 0;
        while (k > 0) res += data[k - 1], k -= k & -k;
        return res;
    }
    T sum(int l, int r) const { return sum(r) - sum(l); } // a[l] + ... + a[r - 1]
};

// Simple forward_list for MLE-sensitive situations
// Verify: <http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=ALDS1_14_D>
template <typename T> struct light_forward_list {
    static std::vector<unsigned> ptr;
    static std::vector<T> val;
    unsigned head;
    light_forward_list() : head(0) {}
    void push_front(T x) {
        ptr.push_back(head), val.push_back(x);
        head = ptr.size() - 1;
    }
    struct iterator {
        unsigned p;
        iterator operator++() { return {p = ptr[p]}; }
        T &operator*() { return val[p]; }
        bool operator!=(const iterator &rhs) { return p != rhs.p; }
    };
    iterator begin() { return {head}; }
    iterator end() { return {0}; }
};
template <typename T> std::vector<unsigned> light_forward_list<T>::ptr = {0};
template <typename T> std::vector<T> light_forward_list<T>::val = {0};

int main() {
    cin.tie(nullptr), ios::sync_with_stdio(false);
    int N;
    cin >> N;
    vector<int> A(N);
    for (auto &a : A) cin >> a, a--;
    vector<int> pos(N);
    REP(i, N) pos[A[i]] = i;
    BIT<int> bit(N + 1);

    vector<pair<int, int>> lohi(N);
    vector<light_forward_list<int>> bg(N + 1), ed(N + 1);
    REP(i, N) {
        bool md = false;
        int lo = 0, hi = N;
        if (i == 0) {
            md = (A[i + 1] < A[i]);
        } else {
            md = (A[i - 1] < A[i]);
        }
        if (md) {
            hi = N;
            if (i) chmax(lo, A[i - 1] + 1);
            if (i + 1 < N) chmax(lo, A[i + 1] + 1);
        } else {
            lo = 0;
            if (i) chmin(hi, A[i - 1]);
            if (i + 1 < N) chmin(hi, A[i + 1]);
        }
        lohi[i] = make_pair(lo, hi);
        bg[lo].push_front(A[i]);
        ed[hi].push_front(A[i]);
    }

    uint64_t ret = 0;
    REP(a, N) {
        for (auto b : bg[a]) {
            bit.add(b, 1);
        }
        for (auto b : ed[a]) {
            bit.add(b, -1);
        }
        auto [l, r] = lohi[pos[a]];
        ret += bit.sum(l, r);
    }
    cout << (ret - N) / 2 << '\n';
}