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.

<image> 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 k consecutive 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 3
1 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.

import java.util.*;
import java.io.*;

public class dpcodeforces {

    static class Reader {

        final private int BUFFER_SIZE = 1 << 16;
        private DataInputStream din;
        private byte[] buffer;
        private int bufferPointer, bytesRead;
        BufferedReader br; 
        StringTokenizer st;

        public Reader() {
            din = new DataInputStream(System.in);
            buffer = new byte[BUFFER_SIZE];
            bufferPointer = bytesRead = 0;
            br = new BufferedReader(new
                     InputStreamReader(System.in)); 
        }

        public Reader(String file_name) throws IOException {
            din = new DataInputStream(new FileInputStream(file_name));
            buffer = new byte[BUFFER_SIZE];
            bufferPointer = bytesRead = 0;
        }

        public String readLine() throws IOException {
            byte[] buf = new byte[1000000]; // line length 
            int cnt = 0, c;
            while ((c = read()) != -1) {
                if (c == '\n') {
                    break;
                }
                buf[cnt++] = (byte) c;
            }
            return new String(buf, 0, cnt);
        }

        public int nextInt() throws IOException {
            int ret = 0;
            byte c = read();
            while (c <= ' ') {
                c = read();
            }
            boolean neg = (c == '-');
            if (neg) {
                c = read();
            }
            do {
                ret = ret * 10 + c - '0';
            } while ((c = read()) >= '0' && c <= '9');

            if (neg) {
                return -ret;
            }
            return ret;
        }

        public long nextLong() throws IOException {
            long ret = 0;
            byte c = read();
            while (c <= ' ') {
                c = read();
            }
            boolean neg = (c == '-');
            if (neg) {
                c = read();
            }
            do {
                ret = ret * 10 + c - '0';
            } while ((c = read()) >= '0' && c <= '9');
            if (neg) {
                return -ret;
            }
            return ret;
        }

        public double nextDouble() throws IOException {
            double ret = 0, div = 1;
            byte c = read();
            while (c <= ' ') {
                c = read();
            }
            boolean neg = (c == '-');
            if (neg) {
                c = read();
            }

            do {
                ret = ret * 10 + c - '0';
            } while ((c = read()) >= '0' && c <= '9');

            if (c == '.') {
                while ((c = read()) >= '0' && c <= '9') {
                    ret += (c - '0') / (div *= 10);
                }
            }

            if (neg) {
                return -ret;
            }
            return ret;
        }

        private void fillBuffer() throws IOException {
            bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE);
            if (bytesRead == -1) {
                buffer[0] = -1;
            }
        }

        private byte read() throws IOException {
            if (bufferPointer == bytesRead) {
                fillBuffer();
            }
            return buffer[bufferPointer++];
        }
        String next() 
        { 
            while (st == null || !st.hasMoreElements()) 
            { 
                try
                { 
                    st = new StringTokenizer(br.readLine()); 
                } 
                catch (IOException  e) 
                { 
                    e.printStackTrace(); 
                } 
            } 
            return st.nextToken(); 
        } 

        public void close() throws IOException {
            if (din == null) {
                return;
            }
            din.close();
        }
    }

    static class Comb {

        static long nCr(int n, int k) {
            long C[] = new long[k + 1];

            // nC0 is 1 
            C[0] = 1;

            for (int i = 1; i <= n; i++) {
                for (int j = Math.min(i, k); j > 0; j--) {
                    C[j] = C[j] + C[j - 1];
                }
            }
            return C[k];
        }
    }

    static int bs(int arr[], int x) {
        int l = 0, r = arr.length - 1;
        int m = 0;
        while (l <= r) {
            m = l + (r - l) / 2;

            if (arr[m] < x) {
                l = m + 1;
            } else {
                r = m - 1;
            }
        }
        if (arr[m] >= x) {
            return m;
        }
        return m + 1;

    }
    static int sum(int n){
        int ans=0;
        while(n>0){
            ans+=n%10;
            n=n/10;
        }
        return ans;
    }
    public static void main(String[] args) throws IOException {
        int mod = 1000000007;
        Reader rd = new Reader();
        //Scanner sc=new Scanner(System.in);
       //BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
       //String[] input = br.readLine().split(" ");
       int n = rd.nextInt();
       int k = rd.nextInt();
       int h[] =new int[n+1];
       //int dp[]=new int[n+1];
        for (int i = 1; i <= n; i++) {
            h[i]=rd.nextInt();
            h[i]+=h[i-1];
        }
        int i=0,min=Integer.MAX_VALUE,ans=0;
        while(i+k<=n){
            
            if(min>h[i+k]-h[i]){
                ans=i+1;
                min=h[i+k]-h[i];
            }
            i++;
        }
        System.out.println(ans);
        
    }
        
}



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