Problem: Let's call two strings s and t anagrams of each other if it is possible to rearrange symbols in the string s to get a string, equal to t.

Let's consider two strings s and t which are anagrams of each other. We say that t is a reducible anagram of s if there exists an integer k ≥ 2 and 2k non-empty strings s_1, t_1, s_2, t_2, ..., s_k, t_k that satisfy the following conditions:

  1. If we write the strings s_1, s_2, ..., s_k in order, the resulting string will be equal to s; 
  2. If we write the strings t_1, t_2, ..., t_k in order, the resulting string will be equal to t; 
  3. For all integers i between 1 and k inclusive, s_i and t_i are anagrams of each other. 



If such strings don't exist, then t is said to be an irreducible anagram of s. Note that these notions are only defined when s and t are anagrams of each other.

For example, consider the string s =  "gamegame". Then the string t =  "megamage" is a reducible anagram of s, we may choose for example s_1 =  "game", s_2 =  "gam", s_3 =  "e" and t_1 =  "mega", t_2 =  "mag", t_3 =  "e":

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On the other hand, we can prove that t =  "memegaga" is an irreducible anagram of s.

You will be given a string s and q queries, represented by two integers 1 ≤ l ≤ r ≤ |s| (where |s| is equal to the length of the string s). For each query, you should find if the substring of s formed by characters from the l-th to the r-th has at least one irreducible anagram.

Input

The first line contains a string s, consisting of lowercase English characters (1 ≤ |s| ≤ 2 ⋅ 10^5).

The second line contains a single integer q (1 ≤ q ≤ 10^5) — the number of queries.

Each of the following q lines contain two integers l and r (1 ≤ l ≤ r ≤ |s|), representing a query for the substring of s formed by characters from the l-th to the r-th.

Output

For each query, print a single line containing "Yes" (without quotes) if the corresponding substring has at least one irreducible anagram, and a single line containing "No" (without quotes) otherwise.

Examples

Input


aaaaa
3
1 1
2 4
5 5


Output


Yes
No
Yes


Input


aabbbbbbc
6
1 2
2 4
2 2
1 9
5 7
3 5


Output


No
Yes
Yes
Yes
No
No

Note

In the first sample, in the first and third queries, the substring is "a", which has itself as an irreducible anagram since two or more non-empty strings cannot be put together to obtain "a". On the other hand, in the second query, the substring is "aaa", which has no irreducible anagrams: its only anagram is itself, and we may choose s_1 =  "a", s_2 =  "aa", t_1 =  "a", t_2 =  "aa" to show that it is a reducible anagram.

In the second query of the second sample, the substring is "abb", which has, for example, "bba" as an irreducible anagram.

Solution (in JAVA):

Solution:
import java.io.*;
import java.util.*;

public class MainClass
{
    public static void main(String[] args)throws IOException
    {
        BufferedReader in = new BufferedReader(new InputStreamReader(System.in));
        char[] A = in.readLine().toCharArray();
        int n = A.length;
        int[] dp = new int[n];
        dp[0]++;
        for (int i=1;i<n;i++)
        {
            if (A[i] == A[i - 1])
                dp[i] = dp[i - 1];
            else
                dp[i] = dp[i - 1] + 1;
        }
        int q = Integer.parseInt(in.readLine());
        ST ST = new ST();
        ST.createST(A);
        StringBuilder stringBuilder = new StringBuilder();
        while (q-- > 0)
        {
            String s1[] = in.readLine().split(" ");
            int l = Integer.parseInt(s1[0]) - 1;
            int r = Integer.parseInt(s1[1]) - 1;
            if (l == r)
            {
                stringBuilder.append("Yes\n");
                continue;
            }
            boolean[] res = ST.query(l, r, 0, A.length - 1, 0);
            int count = 0;
            for (int i=0;i<26;i++)
            {
                if (res[i]) count++;
            }
            if (count >= 3)
                stringBuilder.append("Yes\n");
            else if (count == 2)
            {
                int gp = dp[r] - dp[l] - 1;
                if (gp % 2 == 0)
                    stringBuilder.append("Yes\n");
                else
                    stringBuilder.append("No\n");
            }
            else if (count == 1)
            {
                stringBuilder.append("No\n");
            }
        }
        System.out.println(stringBuilder);
    }
}
class Reader
{
    final private int BUFFER_SIZE = 1 << 16;
    private DataInputStream din;
    private byte[] buffer;
    private int bufferPointer, bytesRead;

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

    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[64]; // 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++];
    }

    public void close() throws IOException
    {
        if (din == null)
            return;
        din.close();
    }
}
class ST
{
    static boolean[][] st;
    static boolean[] empty = new boolean[26];
    public int nextPowerOfTwo(int n)
    {
        if (n == 0)
            return 1;
        if (n > 0 && (n & (n - 1)) == 0)
            return n;
        while ((n & (n - 1)) > 0)
            n = n & (n - 1);
        return n << 1;
    }

    public void createST(char[] A)
    {
        int np2 = nextPowerOfTwo(A.length);
        st = new boolean[2 * np2 - 1][26];
        constructST(A, 0, A.length - 1, 0);
    }

    public void constructST(char[] A, int low, int high, int pos)
    {
        if (low == high)
        {
            int x = A[low] - 'a';
            st[pos][x] = true;
            return;
        }
        int mid = (low + high) / 2;
        constructST(A, low, mid, 2 * pos + 1);;
        constructST(A, mid + 1, high, 2 * pos + 2);
        for (int i=0;i<26;i++)
            st[pos][i] = (st[2 * pos + 1][i] | st[2 * pos + 2][i]);
        return;
    }

    public boolean[] query(int qlow, int qhigh, int low, int high, int pos)
    {
        if (qlow <= low && qhigh >= high)
        {
            return st[pos];
        }
        if(qlow > high || qhigh < low)
        {
            return empty;
        }
        int mid = (low + high) / 2;
        boolean[] left = query(qlow, qhigh, low, mid, 2 * pos + 1);
        boolean[] right = query(qlow, qhigh, mid + 1, high, 2 * pos + 2);
        boolean[] ans = new boolean[26];
        for (int i=0;i<26;i++)
            ans[i] = (left[i] | right[i]);
        return ans;
    }
}