13:I[87,["736","static/chunks/89fc4f0e-9e200ae6a0166583.js","401","static/chunks/363642f4-32903b9154b7835a.js","153","static/chunks/153-58eddeb032cc4608.js","131","static/chunks/131-05ce00cfd760e12b.js","87","static/chunks/87-b76b60eef573119a.js","286","static/chunks/app/problem/%5Bid%5D/page-45cf3875257fc32e.js"],"Header"] 14:I[1742,["736","static/chunks/89fc4f0e-9e200ae6a0166583.js","401","static/chunks/363642f4-32903b9154b7835a.js","153","static/chunks/153-58eddeb032cc4608.js","131","static/chunks/131-05ce00cfd760e12b.js","87","static/chunks/87-b76b60eef573119a.js","286","static/chunks/app/problem/%5Bid%5D/page-45cf3875257fc32e.js"],"ProblemView"] 15:T5df,

You are given a permutation $$$p$$$ of length $$$n$$$ — an array, consisting of integers from $$$1$$$ to $$$n$$$, all distinct.

Let $$$p_{l,r}$$$ denote a subarray — an array formed by writing down elements from index $$$l$$$ to index $$$r$$$, inclusive.

Let $$$\mathit{maxpos}_{l,r}$$$ denote the index of the maximum element on $$$p_{l,r}$$$. Similarly, let $$$\mathit{minpos}_{l,r}$$$ denote the index of the minimum element on it.

Calculate the number of subarrays $$$p_{l,r}$$$ such that $$$\mathit{maxpos}_{l,r} \gt \mathit{minpos}_{l,r}$$$.

Input

The first line contains a single integer $$$n$$$ ($$$1 \le n \le 10^6$$$) — the number of elements in the permutation.

The second line contains $$$n$$$ integers $$$p_1, p_2, \dots, p_n$$$ ($$$1 \le p_i \le n$$$). All $$$p_i$$$ are distinct.

Output

Print a single integer

Max to the Right of Min

Examples