Problem:
MathJax.Hub.Config({ tex2jax: { inlineMath: [["$","$"], ["\\(","\\)"]], processEscapes: true }});

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: Wrong Answer)

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);
        if (n == 1)
            if (a[0] >= s) { Console.WriteLine(1); goto end; }
            else { Console.WriteLine(0); goto end; }
        for (int i = 1; i < n; i++)
        {
            var ba = 0;
            for (int j = 0; j < i; j++) ba += a[j];
            if (ba >= s) { Console.WriteLine(i); goto end; }
            for (int j = 0; j < n - i; j++)
            {
                ba += a[i + j] - a[j];
                if (ba >= s) { Console.WriteLine(i); goto end; }
            }
        }
        Console.WriteLine(0);
        end:;
    }
}