Linear Kingdom has exactly one tram line. It hasnstops, numbered from1tonin the order of tram's movement. At thei-th stopaipassengers exit the tram, whilebipassengers enter it. The tram is empty before it arrives at the first stop. Also, when the tram arrives at the last stop, all passengers exit so that it becomes empty.
Your task is to calculate the tram's minimum capacity such that the number of people inside the tram at any time never exceeds this capacity. Note that at each stop all exiting passengers exitbeforeany entering passenger enters the tram.
The first line contains a single numbern(2 ≤ n ≤ 1000) — the number of the tram's stops.
Thennlines follow, each contains two integersaiandbi(0 ≤ ai, bi ≤ 1000) — the number of passengers that exits the tram at thei-th stop, and the number of passengers that enter the tram at thei-th stop. The stops are given from the first to the last stop in the order of tram's movement.
The number of people who exit at a given stop does not exceed the total number of people in the tram immediately before it arrives at the stop. More formally,
. This particularly means thata1 = 0.
At the last stop,allthe passengers exit the tram and it becomes empty. More formally,
.
No passenger will enter the train at the last stop. That is,bn = 0.