B. Fence----前缀和

B. Fence

time limit per test

1 second

memory limit per test

256 megabytes

input

standard input

output

standard output

There is a fence in front of Polycarpus's home. The fence consists of n planks of the same width which go one after another from left to right. The height of the i-th plank is hi meters, distinct planks can have distinct heights.

Fence for n = 7 and h = [1, 2, 6, 1, 1, 7, 1]

Polycarpus has bought a posh piano and is thinking about how to get it into the house. In order to carry out his plan, he needs to take exactly k consecutive planks from the fence. Higher planks are harder to tear off the fence, so Polycarpus wants to find such kconsecutive planks that the sum of their heights is minimal possible.

Write the program that finds the indexes of k consecutive planks with minimal total height. Pay attention, the fence is not around Polycarpus's home, it is in front of home (in other words, the fence isn't cyclic).

Input

The first line of the input contains integers n and k (1 ≤ n ≤ 1.5·105, 1 ≤ k ≤ n) — the number of planks in the fence and the width of the hole for the piano. The second line contains the sequence of integers h1, h2, ..., hn (1 ≤ hi ≤ 100), where hi is the height of the i-th plank of the fence.

Output

Print such integer j that the sum of the heights of planks j, j + 1, ..., j + k - 1 is the minimum possible. If there are multiple such j's, print any of them.

Examples

input

7 31 2 6 1 1 7 1

output

3

Note

In the sample, your task is to find three consecutive planks with the minimum sum of heights. In the given case three planks with indexes 3, 4 and 5 have the required attribute, their total height is 8.

题目链接：http://codeforces.com/contest/363/problem/B

题目的意思是说让你找出连续的一段最小的和，输出其起始下标。

我们根据数据范围直接可以看出暴力是不可以的，很显然，我们可以用前缀和去记录。

代码：

#include <cstdio>#include <cstring>#include <iostream>#define inf 0x3f3f3f3fusing namespace std;int a[300000];int main(){    int n,k;    scanf("%d%d",&n,&k);    for(int i=1;i<=n;i++){        scanf("%d",&a[i]);        a[i]+=a[i-1];    }    int ans=1;    int mix=inf;    for(int i=k;i<=n;i++){        //printf("%d %d\n",a[i]-a[i-k],mix);        if(a[i]-a[i-k]<mix){            ans=i-k+1;            mix=a[i]-a[i-k];        }    }    cout<<ans<<endl;    return 0;}