[字符串]TrBBnsformBBtion

TrBBnsformBBtion

 

Let us consider the following operations on a string consisting of A and B:

1. Select a character in a string. If it is A, replace it with BB. If it is B, replace with AA.
2. Select a substring that is equal to either AAA or BBB, and delete it from the string.

For example, if the first operation is performed on ABA and the first character is selected, the string becomes BBBA. If the second operation is performed on BBBAAAA and the fourth through sixth characters are selected, the string becomes BBBA.

These operations can be performed any number of times, in any order.

You are given two string S and T, and q queries a_i,b_i,c_i,d_i. For each query, determine whether S_aiS_ai+1…S_bi, a substring of S, can be made into T_ciT_ci+1…T_di, a substring of T.

数据范围

 

• 1≤|S|,|T|≤10⁵
• S and T consist of letters A and B.
• 1≤q≤10⁵
• 1≤a_i≤b_i≤|S|
• 1≤c_i≤d_i≤|T|

输入

 

Input is given from Standard Input in the following format:

S
T
q
a1 b1 c1 d1
…
aq bq cq dq

输出

 

Print q lines. The i-th line should contain the response to the i-th query. If S_aiS_ai+1…S_bi can be made into T_ciT_ci+1…T_di, print YES. Otherwise, print NO.

输入样例1

 

BBBAAAABA
BBBBA
4
7 9 2 5
7 9 1 4
1 7 2 5
1 7 2 4

输出样例1

 

YES
NO
YES
NO

The first query asks whether the string ABA can be made into BBBA. As explained in the problem statement, it can be done by the first operation.

The second query asks whether ABA can be made into BBBB, and the fourth query asks whether BBBAAAA can be made into BBB. Neither is possible.

The third query asks whether the string BBBAAAA can be made into BBBA. As explained in the problem statement, it can be done by the second operation.

输入样例2

 

AAAAABBBBAAABBBBAAAA
BBBBAAABBBBBBAAAAABB
10
2 15 2 13
2 13 6 16
1 13 2 20
4 20 3 20
1 18 9 19
2 14 1 11
3 20 3 15
6 16 1 17
4 18 8 20
7 20 3 14

输出样例2

 

YES
YES
YES
YES
YES
YES
NO
NO
NO
NO



代码：

# include <bits/stdc++.h>  
using namespace std;  
  
const int N = 100010;  
char s[N], t[N];  
int sp[N], tp[N], q, a, b, c, d;
int main() {  
    scanf("%s%s%d", s + 1, t + 1, &q); 
    for (int i = 1; s[i]; ++i) {
        sp[i] = sp[i - 1] + s[i] - 'A' + 1;  
    }
    for (int i = 1; t[i]; ++i) {
        tp[i] = tp[i - 1] + t[i] - 'A'  + 1;  
    }
    while(q--) {  
        scanf("%d%d%d%d", &a, &b, &c, &d);  
        if ( (sp[b] - sp[a - 1]) % 3 == (tp[d] - tp[c - 1]) % 3) {
            printf("YES\n");
        }
        else {
            printf("NO\n"); 
        }
    }  
    return 0;  
}