**Time limit:**1.00 s**Memory limit:**512 MB

You have n coins, each of which has a distinct weight.

There are two stacks which are initially empty. On each step you move one coin to a stack. You never remove a coin from a stack.

After each move, your task is to determine which stack is heavier (if we can be sure that either stack is heavier).

# Input

The first input line has an integer n: the number of coins. The coins are numbered 1,2,\dots,n. You know that coin i is always heavier than coin i-1, but you don't know their exact weights.

After this, there are n lines that describe the moves. Each line has two integers c and s: move coin c to stack s (1 = left, 2 = right).

# Output

After each move, print `<`

if the right stack is heavier, `>`

if the left stack is heavier, and `?`

if we can't know which stack is heavier.

# Constraints

- 1 \le n \le 2 \cdot 10^5

# Example

Input:

3 2 1 3 2 1 1

Output:

> < ?

Explanation: After the last move, if the coins are [2,3,4], the left stack is heavier, but if the coins are [1,2,5], the right stack is heavier.