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Time Limit: 2 s Memory Limit: 256 MB Total points: 100

#21000. 奶牛为何过马路 III

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Farmer John 年老后越来越暴躁多疑。他忘了牛群多样性多年如何帮助农场兴旺,最近决定围巨大栅栏,阻止邻近农场牛来访,并完全禁止其中少数农场的牛进入。牛很沮丧,不仅不能拜访朋友,还不得不取消全年期待的国际挤奶奥林匹克赛。

仍能进入的邻牛也更困难:只能过一扇门,每牛遭严格盘问,常排长队。

给来访 $N$ 头牛到门时间与回答入场问题所需时间。同一时刻只能盘问一牛,若许多近同时到达,要排队逐个处理。例如一牛5时到、问7单位,8时来的另一牛须等12时才答。

求全部牛能进入农场的最早时间。

输入格式

首行 $N$,至多100的正整数。后 $N$ 行各牛到达与盘问时间,均至多1,000,000的正整数。

输出格式

求所有牛都完成处理的最早时间。

样例

输入格式 1

3
2 1
8 3
5 7

输出格式 1

15

说明

首牛2时到,很快处理。门短暂空闲至第三牛5时到开始盘问。第二牛8时到,等 $5+7=12$ 才答,$12+3 = 15$ 结束。

题目作者:Brian Dean

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