One day, Snuke was given a permutation of length N, a_1, a_2, ..., a_N, from his friend.

Find the following:

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Constraints

* 1 ≦ N ≦ 200,000
* (a_1, a_2, ..., a_N) is a permutation of (1, 2, ..., N).

Input

The input is given from Standard Input in the following format:


N
a_1 a_2 ... a_N


Output

Print the answer.

Note that the answer may not fit into a 32-bit integer.

Examples

Input

3
2 1 3


Output

9


Input

4
1 3 2 4


Output

19


Input

8
5 4 8 1 2 6 7 3


Output

85
n = int(input())
a = list(map(int, input().split()))
d = {}
for i,j in enumerate(a):
    d[j] = i

uf = [-1]*n
def root(a):
    if uf[a] < 0:
        return a
    uf[a] = root(uf[a])
    return uf[a]
def unite(a,b):
    ra,rb = root(a),root(b)
    if ra==rb:
        return False
    if uf[ra] > uf[rb]:
        ra,rb = rb,ra
    uf[ra] += uf[rb]
    uf[rb] = ra
    return True

ans = 0
for i in range(n,0,-1):
    left=right=0
    ind = d[i]

    if ind<n-1 and a[ind] < a[ind+1]:
        right -= uf[root(ind+1)]
        unite(ind, ind+1)
    if ind>0 and a[ind] < a[ind-1]:
        left -= uf[root(ind-1)]
        unite(ind, ind-1)
    ans += i*(left+1)*(right+1)

print(ans)