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문제

These days, all eyes and money are on crypto. The stakes are high and a team of experts, which call themselves the FPC (Fabulous People of Crypto) are on the verge of a big move. They call their move "The Bubble".

The Bubble will work as follows: one day, the FPC will release a set of classified information that will shake the market to its roots. That day, call it $x$, will be the epicenter of their move. To measure the impact of The Bubble, consider the longest sequence of consecutive days, starting on day $a$ and ending on day $b$ ($a\leq x\leq b$), for which Bitcoin's price is never lower than its price on day $x$. The impact is measured as the length of this sequence in days multiplied by the price of Bitcoin on day $x$. The starting day and the end day of The Bubble's impact should be within the boundaries of the period the FPC know the price for.

There is only one catch: despite anticipating Bitcoin's price for the foreseeable future, the FPC lack the most fabulous skill in the world: programming. Help them measure the biggest possible impact of The Bubble, given that they release the shocking information on an optimal day.

입력

The input consists of:

  • A line with a single integer $n$ ($1\leq n\leq 5\cdot 10^4$), the number of price anticipations for Bitcoin.
  • $n$ lines, each containing two integers $p$ and $d$ ($0\leq p\leq 2\cdot 10^9$ and $1\leq d\leq 5\cdot 10^4$), representing the price and the number of days the price lasts for.

Price information is given in chronological order.

출력

Output a single number, the biggest impact The Bubble can have.

예제 입력 1

4
3 2
9 4
5 2
7 4

예제 출력 1

50

Figure B.1: A visualisation of the first sample input. The orange rectangle indicates the maximum impact of The Bubble. Day 7 (marked in green) is the epicenter of The Bubble.

예제 입력 2

10
5 5
8 1
8 3
9 1
0 6
1 6
1 5
6 2
6 5
9 6

예제 출력 2

78