【暴力】Codeforces-500A New Year Transportation

。。。暴力，看懂題目就行。

【題目】

New Year Transportation

Time Limit:2000MS     Memory Limit:262144KB     64bit IO Format:%I64d & %I64u

Description

New Year is coming in Line World! In this world, there are n cells numbered by integers from 1 to n, as a 1 × n board. People live in cells. However, it was hard to move between distinct cells, because of the difficulty of escaping the cell. People wanted to meet people who live in other cells.

So, user tncks0121 has made a transportation system to move between these cells, to celebrate the New Year. First, he thought of n - 1 positive integers a₁, a₂, ..., a_n - 1. For every integer i where 1 ≤ i ≤ n - 1 the condition 1 ≤ a_i ≤ n - i holds. Next, he made n - 1 portals, numbered by integers from 1 to n - 1. The i-th (1 ≤ i ≤ n - 1) portal connects cell i and cell (i + a_i), and one can travel from cell i to cell (i + a_i) using the i-th portal. Unfortunately, one cannot use the portal backwards, which means one cannot move from cell (i + a_i) to cell i using the i-th portal. It is easy to see that because of condition 1 ≤ a_i ≤ n - i one can't leave the Line World using portals.

Currently, I am standing at cell 1, and I want to go to cell t. However, I don't know whether it is possible to go there. Please determine whether I can go to cell t by only using the construted transportation system.

Input

The first line contains two space-separated integers n (3 ≤ n ≤ 3 × 10⁴) and t (2 ≤ t ≤ n) — the number of cells, and the index of the cell which I want to go to.

The second line contains n - 1 space-separated integers a₁, a₂, ..., a_n - 1 (1 ≤ a_i ≤ n - i). It is guaranteed, that using the given transportation system, one cannot leave the Line World.

Output

If I can go to cell t using the transportation system, print "YES". Otherwise, print "NO".

Sample Input

Input

8 4
1 2 1 2 1 2 1

Output

YES

Input

8 5
1 2 1 2 1 1 1

Output

NO

Hint

In the first sample, the visited cells are: 1, 2, 4; so we can successfully visit the cell 4.

In the second sample, the possible cells to visit are: 1, 2, 4, 6, 7, 8; so we can't visit the cell 5, which we want to visit.

【題意】

      n（3e4）個點，排成一排。 

      對於點i，可以傳送到i+a[i]。 
     問你我們能否傳送到t點。

      輸入：第一行：共有n個點，m是要傳送到的t點

                   第二行：每個點能傳送到離這個點多遠的距離

      輸出：如果能到m，輸出YES，否則NO

【思路】

      直接模擬就行了，30000個點根本不用考慮超時的問題，第i個點必須要傳送到第i+a[i]個點處醬紫。

【代碼】

#include<cstdio>

int a[30005];

int main()
{
	int n,m;
	while(scanf("%d%d",&n,&m)!=EOF)
	{
		int x=1;
		for(int i=1;i<n;i++)
			scanf("%d",a+i);
		while(x<m)
			x=x+a[x];
		if(x==m)
			printf("YES\n");
		else
			printf("NO\n");
	}
}