Day 34 B. Books

本题讨论了Valera在有限时间内如何最大化阅读书籍数量的问题。给定书籍数量n、可用时间t以及每本书的阅读时间ai,求从任意一本开始连续阅读所能完成的最大书籍数。

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Problem
When Valera has got some free time, he goes to the library to read some books. Today he’s got t free minutes to read. That’s why Valera took n books in the library and for each book he estimated the time he is going to need to read it. Let’s number the books by integers from 1 to n. Valera needs ai minutes to read the i-th book.

Valera decided to choose an arbitrary book with number i and read the books one by one, starting from this book. In other words, he will first read book number i, then book number i + 1, then book number i + 2 and so on. He continues the process until he either runs out of the free time or finishes reading the n-th book. Valera reads each book up to the end, that is, he doesn’t start reading the book if he doesn’t have enough free time to finish reading it.

Print the maximum number of books Valera can read.

Input
The first line contains two integers n and t (1 ≤ n ≤ 10 ^ 5; 1 ≤ t ≤ 10 ^ 9) — the number of books and the number of free minutes Valera’s got. The second line contains a sequence of n integers a1, a2, …, an (1 ≤ ai ≤ 10^4), where number ai shows the number of minutes that the boy needs to read the i-th book.

Output
Print a single integer — the maximum number of books Valera can read.

Examples
input
4 5
3 1 2 1
output
3

input
3 3
2 2 3
output
1

题目大致意思为:有n本书 你有t的时间 每读一本书需要花费an时间 问从某一本书开始连续读 最多能在规定时间里读几本

#include<iostream>
#include<algorithm>
#include<string.h>
#include<vector>
#include<stdio.h>
#include<limits.h>
#include<cmath>
#include<set>
#include<map>
#define ll long long
using namespace std;
int main()
{
	int n, t;
	cin >> n >> t;
	vector<int>v;
	for (int i = 0; i < n; i++)
	{
		int x;
		cin >> x;
		v.emplace_back(x);
	}
	int sum = 0;
	int res = 0;
	int y = 0;
	for (int i = 0; i < n; i++)
	{
		sum += v[i];
		while (sum > t)
		{
			sum -= v[y];
			y++;
		}
		res = max(res, i + 1 - y);
	}
	cout << res << endl;
	return 0;
}
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