Queue on Bus Stop

题意翻译

一共有$n$组人（小于等于巴士容量），每一车能拉走$m$个人。 一次性可以拉好几组人，但一次必须带一整组人，不可以改变组之间的顺序。 求最后用的巴士数量。

题目描述

It's that time of the year when the Russians flood their countryside summer cottages (dachas) and the bus stop has a lot of people. People rarely go to the dacha on their own, it's usually a group, so the people stand in queue by groups. The bus stop queue has $ n $ groups of people. The $ i $ -th group from the beginning has $ a_{i} $ people. Every $ 30 $ minutes an empty bus arrives at the bus stop, it can carry at most $ m $ people. Naturally, the people from the first group enter the bus first. Then go the people from the second group and so on. Note that the order of groups in the queue never changes. Moreover, if some group cannot fit all of its members into the current bus, it waits for the next bus together with other groups standing after it in the queue. Your task is to determine how many buses is needed to transport all $ n $ groups to the dacha countryside.

输入输出格式

输入格式

The first line contains two integers $ n $ and $ m $ $ (1<=n,m<=100) $ . The next line contains $ n $ integers: $ a_{1},a_{2},...,a_{n} $ $ (1<=a_{i}<=m) $ .

输出格式

Print a single integer — the number of buses that is needed to transport all $ n $ groups to the dacha countryside.

输入输出样例

输入样例 #1

4 3
2 3 2 1

输出样例 #1

3

输入样例 #2

3 4
1 2 1

输出样例 #2

1