p02873 AtCoder Grand Contest 040 - ><
Given is a string S of length N-1. Each character in S is `<` or `>`.

A sequence of N non-negative integers, a_1,a_2,\cdots,a_N, is said to be good when the following condition is satisfied for all i (1 \leq i \leq N-1):

* If S_i= `<`: a_i<a_{i+1}
* If S_i= `>`: a_i>a_{i+1}



Find the minimum possible sum of the elements of a good sequence of N non-negative integers.

Constraints

* 2 \leq N \leq 5 \times 10^5
* S is a string of length N-1 consisting of `<` and `>`.

Input

Input is given from Standard Input in the following format:


S


Output

Find the minimum possible sum of the elements of a good sequence of N non-negative integers.

Examples

Input

<>>


Output

3


Input

<>>><<><<<<<>>><


Output

28
```python
S = input().rstrip("\n")
N = len(S)

a = [0] * (N+1)

for i in range(N):
    if S[i] == "<":
        a[i+1] = max(a[i+1], a[i] + 1)

for i in range(N-1,-1,-1):
    if S[i] == ">":
        a[i] = max(a[i], a[i+1]+1)

print(sum(a))
```