Problem:
Score : 300 points

Problem Statement

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.

Sample Input 1

<>>

Sample Output 1

3

a=(0,2,1,0) is a good sequence whose sum is 3.
There is no good sequence whose sum is less than 3.

Sample Input 2

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

Sample Output 2

28

Solution in Python (3.4.3) (judge verdict: Time Limit Exceeded)

# For taking integer inputs.
import math


def inp():
    return(int(input()))


# For taking List inputs.
def inlist():
    return(list(map(int, input().split())))


# For taking string inputs. Actually it returns a List of Characters, instead of a string, which is easier to use in Python, because in Python, Strings are Immutable.
def instr():
    s = input()
    return(list(s[:len(s)]))


# For taking space seperated integer variable inputs.
def invr():
    return(map(int, input().split()))


def getCount(start):
    l = r = 0
    for i in range(start-1, -1, -1):
        if a[i] == "<":
            l += 1
        else:
            break
    for i in range(start, n):
        if a[i] == ">":
            r += 1
        else:
            break

    return max(l, r)


a = input()
n = len(a)
c = 0
total = 0
flip = a[0]
for i in range(n+1):
    temp = getCount(i)
    total += temp
print(total)