Alice has a string consisting of characters 'A', 'B' and 'C'. Bob can use the following transitions on any substring of our string in any order any number of times: 

  * A <image> BC
  * B <image> AC
  * C <image> AB
  * AAA <image> empty string 



Note that a substring is one or more consecutive characters. For given queries, determine whether it is possible to obtain the target string from source.

Input

The first line contains a string S (1 ≤ |S| ≤ 105). The second line contains a string T (1 ≤ |T| ≤ 105), each of these strings consists only of uppercase English letters 'A', 'B' and 'C'.

The third line contains the number of queries Q (1 ≤ Q ≤ 105).

The following Q lines describe queries. The i-th of these lines contains four space separated integers ai, bi, ci, di. These represent the i-th query: is it possible to create T[ci..di] from S[ai..bi] by applying the above transitions finite amount of times?

Here, U[x..y] is a substring of U that begins at index x (indexed from 1) and ends at index y. In particular, U[1..|U|] is the whole string U.

It is guaranteed that 1 ≤ a ≤ b ≤ |S| and 1 ≤ c ≤ d ≤ |T|.

Output

Print a string of Q characters, where the i-th character is '1' if the answer to the i-th query is positive, and '0' otherwise.

Example

Input

AABCCBAAB
ABCB
5
1 3 1 2
2 2 2 4
7 9 1 1
3 4 2 3
4 5 1 3


Output

10011

Note

In the first query we can achieve the result, for instance, by using transitions <image>.

The third query asks for changing AAB to A — but in this case we are not able to get rid of the character 'B'.
#include <bits/stdc++.h>
using namespace std;
const int N = 100005;
int n, m, Q, a1[N], a2[N], b1[N], b2[N];
char S[N], T[N];
int main() {
  scanf("%s%s", S + 1, T + 1);
  n = strlen(S + 1);
  m = strlen(T + 1);
  for (int i = 1; i <= n; ++i) {
    b1[i] = b1[i - 1] + (S[i] != 'A');
    a1[i] = (S[i] == 'A' ? a1[i - 1] + 1 : 0);
  }
  for (int i = 1; i <= m; ++i) {
    b2[i] = b2[i - 1] + (T[i] != 'A');
    a2[i] = (T[i] == 'A' ? a2[i - 1] + 1 : 0);
  }
  scanf("%d", &Q);
  while (Q--) {
    int a, b, c, d;
    scanf("%d%d%d%d", &a, &b, &c, &d);
    int sa = min(b - a + 1, a1[b]), ta = min(d - c + 1, a2[d]), aa = ta - sa;
    int sb = b1[b] - b1[a - 1], tb = b2[d] - b2[c - 1], bb = tb - sb;
    if ((bb & 1) || bb < 0 || aa > 0 || tb && !sb && !aa)
      putchar('0');
    else if (bb)
      putchar('1');
    else if (aa % 3 == 0)
      putchar('1');
    else
      putchar('0');
  }
  return 0;
}
