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#F1454. Saitama Destroys Hotel

    ID: 1460 传统题 2000ms 256MiB 尝试: 0 已通过: 0 难度: 1 上传者: 标签>模拟数学编程与模拟入门难度共享题库Codeforces英文题面题目来源题面语言

Saitama Destroys Hotel

题目描述

A. Saitama Destroys Hotel
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

Saitama accidentally destroyed a hotel again. To repay the hotel company, Genos has volunteered to operate an elevator in one of its other hotels. The elevator is special − it starts on the top floor, can only move down, and has infinite capacity. Floors are numbered from 0 to s and elevator initially starts on floor s at time 0.

The elevator takes exactly 1 second to move down exactly 1 floor and negligible time to pick up passengers. Genos is given a list detailing when and on which floor passengers arrive. Please determine how long in seconds it will take Genos to bring all passengers to floor 0.

Input

The first line of input contains two integers n and s (1≤n≤100, 1≤s≤1000)− the number of passengers and the number of the top floor respectively.

The next n lines each contain two space-separated integers fi and ti (1≤fis, 1≤ti≤1000)− the floor and the time of arrival in seconds for the passenger number i.

Output

Print a single integer− the minimum amount of time in seconds needed to bring all the passengers to floor 0.

Examples
Input
3 7
2 1
3 8
5 2
Output
11
Input
5 10
2 77
3 33
8 21
9 12
10 64
Output
79
Note

In the first sample, it takes at least 11 seconds to bring all passengers to floor 0. Here is how this could be done:

1. Move to floor 5: takes 2 seconds.

2. Pick up passenger 3.

3. Move to floor 3: takes 2 seconds.

4. Wait for passenger 2 to arrive: takes 4 seconds.

5. Pick up passenger 2.

6. Go to floor 2: takes 1 second.

7. Pick up passenger 1.

8. Go to floor 0: takes 2 seconds.

This gives a total of 2+2+4+1+2=11 seconds.


题目来源:fps-www.educg.net-codeforce-1-2833.xml.zip;FPS 共享题包,题包内第 962 题。保留原作者与原赛事署名。