CF749D Leaving Auction

There are $ n $ people taking part in auction today. The rules of auction are classical. There were $ n $ bids made, though it's not guaranteed they were from different people. It might happen that some people made no bids at all. Each bid is define by two integers $ (a_{i},b_{i}) $ , where $ a_{i} $ is the index of the person, who made this bid and $ b_{i} $ is its size. Bids are given in chronological order, meaning $ b_{i}<b_{i+1} $ for all $ i<n $ . Moreover, participant never makes two bids in a row (no one updates his own bid), i.e. $ a_{i}≠a_{i+1} $ for all $ i<n $ . Now you are curious with the following question: who (and which bid) will win the auction if some participants were absent? Consider that if someone was absent, all his bids are just removed and no new bids are added. Note, that if during this imaginary exclusion of some participants it happens that some of the remaining participants makes a bid twice (or more times) in a row, only first of these bids is counted. For better understanding take a look at the samples. You have several questions in your mind, compute the answer for each of them.

The first line of the input contains an integer $ n $ ( $ 1

For each question print two integer — the index of the winner and the size of the winning bid. If there is no winner (there are no remaining bids at all), print two zeroes.

Consider the first sample: - In the first question participant number $ 3 $ is absent so the sequence of bids looks as follows: 1. $ 1 $ $ 10 $ 2. $ 2 $ $ 100 $ 3. $ 1 $ $ 10000 $ 4. $ 2 $ $ 100000 $ Participant number $ 2 $ wins with the bid $ 100000 $ . - In the second question participants $ 2 $ and $ 3 $ are absent, so the sequence of bids looks: 1. $ 1 $ $ 10 $ 2. $ 1 $ $ 10000 $ The winner is, of course, participant number $ 1 $ but the winning bid is $ 10 $ instead of $ 10000 $ as no one will ever increase his own bid (in this problem). - In the third question participants $ 1 $ and $ 2 $ are absent and the sequence is: 1. $ 3 $ $ 1000 $ 2. $ 3 $ $ 1000000 $ The winner is participant $ 3 $ with the bid $ 1000 $ .