Problem:
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The Smallest Window I

For a given array $a_1, a_2, a_3, ... , a_N$ of $N$ elements and an integer $S$, find the smallest sub-array size (smallest window length) where the sum of the sub-array is greater than or equal to $S$. If there is not such sub-array, report 0.

Constraints

$1 \leq N \leq 10^5$

$1 \leq S \leq 10^9$

$1 \leq a_i \leq 10^4$

Input

The input is given in the following format.

$N$ $S$

$a_1$ $a_2$ ... $a_N$

Output

Print the smallest sub-array size in a line.

Sample Input 1

6 4
1 2 1 2 3 2

Sample Output 1

2

Sample Input 2

6 6
1 2 1 2 3 2

Sample Output 2

3

Sample Input 3

3 7
1 2 3

Sample Output 3

0

Solution in C# (judge verdict: Time Limit Exceeded)

using System;

public class hello
{
    public static void Main()
    {
        string[] line = Console.ReadLine().Trim().Split(' ');
        var n = int.Parse(line[0]);
        var s = int.Parse(line[1]);
        string[] line2 = Console.ReadLine().Trim().Split(' ');
        var a = Array.ConvertAll(line2, int.Parse);
        var b = new int[n + 1];
        for (int i = 1; i <= n; i++)  b[i] = b[i - 1] + a[i - 1];
        for (int i = 1; i <= n; i++)
            for (int j = 0; j <= n - i; j++)
                if (b[j + i] - b[j ] >= s) { Console.WriteLine(i); goto next; }
        Console.WriteLine(0);
        next:;
    }
}