Harryxun/sft_time huggingface dataset:
### BUGGY CODE ###

import sys
input = sys.stdin.readline

N=int(input())
S=list(input().strip())
Q=int(input())

LEN=N

BIT=[[0]*(LEN+1) for i in range(26)]

def update(v,w,i): # index vにwを加える
    while v<=LEN:
        BIT[i][v]+=w
        v+=(v&(-v)) # 自分を含む大きなノードへ. たとえばv=3→v=4

def getvalue(v,i): # [1,v]の区間の和を求める
    ANS=0
    while v!=0:
        ANS+=BIT[i][v]
        v-=(v&(-v)) # 自分より小さい2ベキのノードへ. たとえばv=3→v=2へ
    return ANS

for i in range(N):
    update(i+1,1,ord(S[i])-97)

for i in range(Q):
    qf,x,y=input().split()
    qf=int(qf)

    if int(qf)==1:
        x=int(x)
        update(x,-1,ord(S[x-1])-97)
        update(x,1,ord(y)-97)
        S[x-1]=y

    else:
        x=int(x)
        y=int(y)
        ANS=0
        for i in range(26):
            if getvalue(y,i)-getvalue(x-1,i)>0:
                ANS+=1

        print(ANS)
        
    


### FIXED CODE ###

import sys
input = sys.stdin.readline

N=int(input())
S=list(input().strip())
Q=int(input())

LEN=N

BIT=[[0]*(LEN+1) for i in range(26)]

def update(v,w,i): # index vにwを加える
    while v<=LEN:
        BIT[i][v]+=w
        v+=(v&(-v)) # 自分を含む大きなノードへ. たとえばv=3→v=4

def getvalue(v,i): # [1,v]の区間の和を求める
    ANS=0
    while v!=0:
        ANS+=BIT[i][v]
        v-=(v&(-v)) # 自分より小さい2ベキのノードへ. たとえばv=3→v=2へ
    return ANS

for i in range(N):
    update(i+1,1,ord(S[i])-97)

for i in range(Q):
    qf,x,y=input().split()
    qf=int(qf)

    if int(qf)==1:
        x=int(x)
        update(x,-1,ord(S[x-1])-97)
        update(x,1,ord(y)-97)
        S[x-1]=y

    else:
        x=int(x)
        y=int(y)
        ANS=0
        for i in range(26):
            if getvalue(y,i)-getvalue(x-1,i)>0:
                ANS+=1

        print(ANS)
### BUGGY CODE ###

from collections import Counter
import math


def factors(n):
    fhead = []
    ftail = []
    for x in range(1, int(math.sqrt(n)) + 1):
        if n % x == 0:
            fhead.append(x)
            if x * x != n:
                # This check is to not insert sqrt(n) twice in head and tail portion of the list
                ftail.append(n // x)
    return fhead + ftail[::-1]


(N,) = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]

freq = Counter(A)
count = 0
for x in A:
    bad = False
    for d in factors(x):
        if (d == x and freq[d] >= 2) or (d != x and freq[d]):
            bad = True
            break

    if not bad:
        count += 1
print(count)


### FIXED CODE ###

from collections import Counter
(N,) = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]

freq = Counter(A)
if freq[1] == 1:
    print(1)
elif freq[1] >= 2:
    print(0)
else:
    bad = set()
    for k, v in freq.items():
        if v >= 2:
            bad.add(k)

    mx = max(A)

    for x in freq.keys():
        for times in range(2, 10 ** 6 + 1):
            if x * times > mx:
                break
            if x * times in freq:
                bad.add(x * times)

    count = 0
    for x in A:
        if x not in bad:
            count += 1
    print(count)
### BUGGY CODE ###

from sys import stdin
def I(): return int(stdin.readline().rstrip())
def LI(): return list(map(int,stdin.readline().rstrip().split()))

if __name__=='__main__':
    mod = 10**9 + 7
    n = I()
    a = LI()
    ans = 0
    for i in range(60):
        c1 = 0
        for rep in a:
            if (rep>>i)&1:
                c1 += 1
        ans += ((n-c1)*c1*(2**i)%mod)%mod
    print(ans%mod)

### FIXED CODE ###

from sys import stdin
def I(): return int(stdin.readline().rstrip())
def LI(): return list(map(int,stdin.readline().rstrip().split()))

if __name__=='__main__':
    mod = 10**9 + 7
    n = I()
    a = LI()
    ans = 0
    for i in range(60):
        c1 = 0
        for rep in a:
            if (rep>>i)&1:
                c1 += 1
        ans += ((n-c1)*c1*(2**i)%mod)%mod
    print(ans%mod)
### BUGGY CODE ###

R,G,B,n=map(int,input().split())
r=n//R
g=n//G
ans=0
for i in range(r+1):
  for j in range(g+1):
    if (n-R*i-G*j)%B==0 and n-R*i-G*j>=0:
      ans+=1
print(ans)

### FIXED CODE ###

R,G,B,n=map(int,input().split())
r=n//R
g=n//G
b=n//B
ans=0
for i in range(r+1):
  for j in range((n-R*i)//G+1):
    if (n-i*R-j*G)%B==0:
      ans+=1
print(ans)
### BUGGY CODE ###

l,r=map(int,input().split())
m,ans=2019,2018
r=min(r,l+2019*2)
for i in range(l,r+1):
  for j in range(i+1,r+1):
    i%=m
    j%=m
    ans=min(ans,(i*j)%m)
print(ans)


### FIXED CODE ###

l,r=map(int,input().split())
m=2019
if l//m<r//m:
  print(0)
else:
  ans=m
  for i in range(l%m, r%m+1):
    for j in range(i+1,r%m+1):
      ans=min(ans,i%m*j%m)
  print(ans)
### BUGGY CODE ###

from heapq import heappop,heappush
import sys
input=sys.stdin.readline

N=int(input())
X=[]
Y=[]
for i in range(N):
    x,y=map(int,input().split())
    X.append([x,i])
    Y.append([y,i])
inf=float("inf")

X.sort()
Y.sort()
data=[[] for i in range(N)]
for i in range(1,N):
    x1,num1=X[i-1]
    x2,num2=X[i]
    data[num1].append([num2,x2-x1])
    data[num2].append([num1,x2-x1])
    y1,num1=Y[i-1]
    y2,num2=Y[i]
    data[num1].append([num2,y2-y1])
    data[num2].append([num1,y2-y1])

que=[[0,0]]
flag=[inf]*N
ans=0

while que:
    l,u=heappop(que)
    if flag[u]!=inf:
        continue
    else:
        flag[u]=l
        ans+=l
        for v,y in data[u]:
            if flag[v]!=inf:
                continue
            else:
                heappush(que,[y,v])
print(ans)

### FIXED CODE ###

from heapq import heappush,heappop
n=int(input())
xy=[]
yx=[]
for i in range(n):
    x,y=map(int,input().split())
    xy.append([x,y,i])
    yx.append([y,x,i])
xy.sort()
yx.sort()
data=[[0,0] for i in range(n)]
for i in range(n):
    x,y,a=xy[i]
    data[a][0]=i
    y,x,a=yx[i]
    data[a][1]=i
ans=0
que=[[0,0]]
flag=[0]*n
count=0
while count<=n:
    l,a=heappop(que)
    if flag[a]==1:
        continue
    ans+=l
    flag[a]=1
    count+=1
    if count==n:
        break
    b,c=data[a]
    xb=xy[b][0]
    yc=yx[c][0]
    if 1<=b<=n-2:
        xd,yd,d=xy[b-1]
        xe,ye,e=xy[b+1]
        if flag[d]==0:
            heappush(que,[abs(xd-xb),d])
        if flag[e]==0:
            heappush(que,[abs(xe-xb),e])
    elif b==0:
        xe,ye,e=xy[1]
        if flag[e]==0:
            heappush(que,[abs(xb-xe),e])
    else:
        xd,yd,d=xy[n-2]
        if flag[d]==0:
            heappush(que,[abs(xb-xd),d])
    if 1<=c<=n-2:
        yg,xg,g=yx[c+1]
        yf,xf,f=yx[c-1]
        if flag[f]==0:
            heappush(que,[abs(yf-yc),f])
        if flag[g]==0:
            heappush(que,[abs(yg-yc),g])
    elif c==0:
        yg,xg,g=yx[1]
        if flag[g]==0:
            heappush(que,[abs(yg-yc),g])
    else:
        yf,xf,f=yx[n-2]
        if flag[f]==0:
            heappush(que,[abs(yf-yc),f])
print(ans)
### BUGGY CODE ###

import numpy as np
count=0
N=int(input())
P=[int(i) for i in input().split()]
for i in range(0,N):
  if np.min(P[0:i+1])==P[i]:
    count+=1
print(count)

### FIXED CODE ###

import numpy as np
import sys

count=0
N=int(sys.stdin.readline().rstrip())
P=[int(i) for i in sys.stdin.readline().split()]
minval=np.max(P)
for i in range(0,N):
  if minval>=P[i]:
    minval=P[i]
    count+=1
print(count)
### BUGGY CODE ###

N = int(input())
S = input()

ans = 0
for i in range(0, N - 2):
    for j in range(i + 1, N - 1):
        if S[i] != S[j]:
            for k in range(j + 1, N):
                if (S[i] != S[j] and S[i] != S[k] and S[j] != S[k]) and j - i != k - j:
                    ans += 1

print(ans)

### FIXED CODE ###

# D - RGB Triplets

N = int(input())
S = input()
cnt_R = S.count('R')
cnt_G = S.count('G')
cnt_B = S.count('B')
total = cnt_R * cnt_G * cnt_B

expt = 0
for i in range(N - 2):
    for j in range(i + 1, N - 1):
        k = j + (j - i)
        if k < N and (S[i] != S[j] and S[j] != S[k] and S[i] != S[k]):
            expt += 1

print(total - expt)
### BUGGY CODE ###

import copy
#from statistics import median


N = int(input())

X = input().split()
X = [ int(x) for x in X]
"""
N = 4
X = [2,4,4,3]
"""
j = int(N/2)
F = copy.deepcopy(X)
F.sort()

for i in range(N):
    S = copy.deepcopy(F)
#    print(S)
    S.remove(X[i])
#    print(S)
    print(S[j-1])
    

### FIXED CODE ###

from statistics import median, median_low, median_high


N = int(input())

X = input().split()
X = [ int(x) for x in X]
"""
N = 4
X = [2,4,4,3]
"""
median = median(X)
#F = copy.deepcopy(X)
"""
F = X[:]
F.sort()

median1 = int(N/2 - 1)
median2 = int(N/2) 

if median.is_integer():
    median1 = median
    median2 = median
else:
    median1 = median - 0.5
    median2 = median + 0.5
"""
median1 = median_low(X)
median2 = median_high(X)
   
for i in range(N):
    #print(F, median1, median2)
    
    if X[i] < median:
        ans = median2
    else:
        ans = median1
    print(int(ans))
### BUGGY CODE ###

#!/usr/bin/env python3

import sys

def search(a,x):
    if a[-1]<=x: return -1
    if len(a)==1:
        if a[0]>x: return 0
        else: return -1
    #
    mid = (len(a)+1)//2 - 1
    if x<a[mid]: return search(a[:mid+1],x)
    else: return mid + 1 + search(a[mid+1:],x)
        
    
n = int(sys.stdin.readline().strip())
l = [ int(x) for x in sys.stdin.readline().strip().split() ]
l.sort()

c = 0
for i in range(1,n):
    for j in range(i+1,n):
        k = search(l[:i], l[j]-l[i])
        if k<0: continue
        c += i-k
#
print(c)


### FIXED CODE ###

#!/usr/bin/env python3

import sys
from bisect import bisect_left

n = int(sys.stdin.readline().strip())
l = list(map(int,sys.stdin.readline().strip().split()))
    
l.sort()
c = 0
n1 = n - 1
for i in range(n-2):
    li = l[i]
    for j in range(i+1,n1):
        k = bisect_left(l,l[j]+li,lo=j)
        c += k-j-1
#
print(c)
### BUGGY CODE ###

import math

def fact(N):
    total = 1
    for i in range(1, N+1):
        total = total * i
    return total

def comb(a, b):
    return fact(a) // (fact(a-b) * fact(b))

def main():
    N, K = list(map(int, input().split(" ")))
    mod = 1000000007
    for i in range(1, K+1):
        # blue cluster
        comb1 = int(comb(N-K+1, i))
        comb2 = int(comb(K-1, i-1))
        ans = ((comb1 % mod) * (comb2 % mod)) % mod
        print(ans)

if __name__ == '__main__':
    main()


### FIXED CODE ###

import math

def fact(N):
    total = 1
    for i in range(1, N+1):
        total = total * i
    return total

def comb(a, b):
    return fact(a) // (fact(a-b) * fact(b))


def main():
    N, K = list(map(int, input().split(" ")))
    a = N - K + 1
    b = 1
    mod = 1000000007
    ans = ((a % mod) * (b % mod)) % mod
    print(ans)
    for i in range(1, K):
        tmp_a = (N-K+1-i)
        if tmp_a == 0:
            tmp_a = 1
        tmp_b = (K-1-i+1)
        if tmp_b == 0:
            tmp_b = 1
        a = (a * tmp_a) // (i+1)
        b = (b * tmp_b) // i
        ans = ((a % mod) * (b % mod)) % mod
        print(ans)

if __name__ == '__main__':
    main()
### BUGGY CODE ###

from collections import deque

h,w = map(int,input().split())
matrix = [["a"]*(w+2)] + [list("a" + input() + "a") for _ in range(h)] + [["a"]*(w+2)]

matrix_list1 = deque()
cnt = -1

for i in range(1,h+1):
    for j in range(1,w+1):
        if matrix[i][j] == "#":
            matrix_list1.append([i,j])

while len(matrix_list1) != 0:     
    for _ in range(len(matrix_list1)):
        x,y = matrix_list1.popleft()
        if matrix[x+1][y] == ".":
            matrix[x+1][y] = "#"
            matrix_list1.append([x+1,y])
        if matrix[x-1][y] == ".":
            matrix[x-1][y] = "#"
            matrix_list1.append([x-1,y])
        if matrix[x][y+1] == ".":
            matrix[x][y+1] = "#"
            matrix_list1.append([x,y+1])
        if matrix[x][y-1] == ".":
            matrix[x][y-1] = "#"
            matrix_list1.append([x,y-1])
    cnt += 1
    
print(cnt)

### FIXED CODE ###

from collections import deque

h,w = map(int,input().split())
matrix = [["a" for _ in range(w+2)]] + [list("a" + input() + "a") for _ in range(h)] + [["a" for _ in range(w+2)]]

matrix_list1 = deque()
cnt = 0

for i in range(1,h+1):
    for j in range(1,w+1):
        if matrix[i][j] == "#":
            matrix_list1.append([i,j])

while len(matrix_list1) != 0:     
    for _ in range(len(matrix_list1)):
        x,y = matrix_list1.popleft()
        if matrix[x+1][y] == ".":
            matrix[x+1][y] = "#"
            matrix_list1.append([x+1,y])
        if matrix[x-1][y] == ".":
            matrix[x-1][y] = "#"
            matrix_list1.append([x-1,y])
        if matrix[x][y+1] == ".":
            matrix[x][y+1] = "#"
            matrix_list1.append([x,y+1])
        if matrix[x][y-1] == ".":
            matrix[x][y-1] = "#"
            matrix_list1.append([x,y-1])
    else:
        if len(matrix_list1) > 0:
            cnt += 1
    
print(cnt)
### BUGGY CODE ###

#関数リスト
import sys
input = sys.stdin.readline
from collections import defaultdict, deque

def I(): return int(input())
def MI(): return map(int, input().split())
def LI(): return list(map(int, input().split()))

def main():
    h, w, k = MI()
    x1, y1, x2, y2 = MI()
    x1 -= 1
    y1 -= 1
    x2 -= 1
    y2 -= 1

    mylist = [0] * h

    #tableの読み込み
    for i in range(h):
        temp = input().rstrip()
        temp = [temp[j] for j in range(w)]
        mylist[i] = temp
    #初期化
    distance = [[float('inf') for i in range(w)] for j in range(h)]
    distance[x1][y1] = 0
    d = deque()
    start = [x1, y1]
    goal = [x2, y2]
    d.append(start)
    index = 0
    result = -1
    move = [[-1,0],[1,0],[0,1],[0,-1]]

    while d and index <= k:
        pos = d.pop()
        x = pos[0]
        y = pos[1]
        dist = distance[x][y]
        for i in move:
            #tempxの初期化
            tempx = x
            tempy = y
            for l in range(k):
                tempx += i[0]
                tempy += i[1]
                if not ((tempx >= 0 and tempx <= h-1) and (tempy >= 0 and tempy <= w - 1)):
                    break
                if dist + 1 < distance[tempx][tempy] and mylist[tempx][tempy] == ".":
                    distance[tempx][tempy] = dist + 1
                    d.append([tempx, tempy])
                else:
                    break
    if distance[x2][y2] == float('inf'):
        print(-1)
    else:
        print(distance[x2][y2])
        
main()


### FIXED CODE ###

#関数リスト
import sys
input = sys.stdin.readline
from collections import defaultdict, deque

def I(): return int(input())
def MI(): return map(int, input().split())
def LI(): return list(map(int, input().split()))

def main():
    h, w, k = MI()
    x1, y1, x2, y2 = MI()
    x1 -= 1
    y1 -= 1
    x2 -= 1
    y2 -= 1

    mylist = [0] * h

    #tableの読み込み
    for i in range(h):
        temp = input().rstrip()
        temp = [temp[j] for j in range(w)]
        mylist[i] = temp
    #初期化
    distance = [[-1 for i in range(w)] for j in range(h)]
    distance[x1][y1] = 0
    d = deque()
    start = (x1, y1)
    goal = [x2, y2]
    d.append(start)
    move = ([-1,0],[1,0],[0,1],[0,-1])

    while d:
        pos = d.popleft()
        x = pos[0]
        y = pos[1]
        if x == x2 and y == y2:
            print(distance[x2][y2])
            exit()
        dist = distance[x][y]
        for i in move:
            #tempxの初期化
            tempx = x
            tempy = y
            for l in range(k):
                tempx += i[0]
                tempy += i[1]
                if not ((tempx >= 0 and tempx <= h-1) and (tempy >= 0 and tempy <= w - 1)):
                    break
                elif mylist[tempx][tempy] == "." and distance[tempx][tempy] == -1:
                    distance[tempx][tempy] = dist + 1
                    d.append((tempx, tempy))
                elif dist + 1 <= distance[tempx][tempy] and mylist[tempx][tempy] == ".":
                    distance[tempx][tempy] = dist + 1
                else:
                    break
    print(-1)            
        
main()
### BUGGY CODE ###

from heapq import heapify, heappush, heappop, heapreplace
from collections import deque
import sys
input = sys.stdin.readline
X, Y, Z, K = map(int, input().split())
A = list(map(int, input().split()))
B = list(map(int, input().split()))
C = list(map(int, input().split()))
A.sort(reverse=True)
B.sort(reverse=True)
C.sort(reverse=True)
D = deque([(0,0,0)])
F = set()
H = [0]
heapify(H)
k = 1
while D:
    p = D.popleft()
    if p in F:
        continue
    F.add(p)
    x, y, z = p
    d = A[x] + B[y] + C[z]
    if k < K:
        heappush(H, d)
        k += 1
    elif H[0] > d:
        continue
    else:
        heapreplace(H, d)
    if x < X - 1: D.append((x + 1, y, z))
    if y < Y - 1: D.append((x, y + 1, z))
    if z < Z - 1: D.append((x, y, z + 1))

print(*sorted(H, reverse=True), sep="\n")

### FIXED CODE ###

from heapq import heapify, heappush, heappop, heapreplace
import sys
input = sys.stdin.readline
X, Y, Z, K = map(int, input().split())
A = list(map(int, input().split()))
B = list(map(int, input().split()))
C = list(map(int, input().split()))
A.sort(reverse=True)
B.sort(reverse=True)
C.sort(reverse=True)
D = [(-(A[0] + B[0] + C[0]), 0, 0, 0)]
heapify(D)
F = set()
for _ in range(K):
    p = heappop(D)
    d, x, y, z = p
    print(-d)
    if x < X - 1:
        p = (-(A[x + 1] + B[y] + C[z]), x + 1, y, z)
        if p not in F:
            heappush(D, p)
            F.add(p)
    if y < Y - 1:
        p = (-(A[x] + B[y + 1] + C[z]), x, y + 1, z)
        if p not in F:
            heappush(D, p)
            F.add(p)
    if z < Z - 1:
        p = (-(A[x] + B[y] + C[z + 1]), x, y, z + 1)
        if p not in F:
            heappush(D, p)
            F.add(p)
### BUGGY CODE ###

def main():
    N = int(input())

    Ai_to_num = {}
    for _ in range(N):
        Ai = input()
        if Ai in Ai_to_num.keys():
            Ai_to_num[Ai] += 1
        else:
            Ai_to_num[Ai] = 1
    ct = 0
    for num_i in Ai_to_num.values():
        if num_i % 2:
            ct += 1
    
    print(ct)

main()


### FIXED CODE ###

def main():
    N = int(input())

    Ai_to_num = {}
    for _ in range(N):
        Ai = input()
        if Ai in Ai_to_num.keys():
            Ai_to_num[Ai] += 1
        else:
            Ai_to_num[Ai] = 1
    ct = 0
    for num_i in Ai_to_num.values():
        if num_i % 2:
            ct += 1
    
    print(ct)

main()
### BUGGY CODE ###

import sys
def get_array(): return list(map(int , sys.stdin.readline().strip().split()))
def get_ints(): return map(int, sys.stdin.readline().strip().split())
def input(): return sys.stdin.readline().strip()

def maxim(i,char):
    if i<0:
        return 0

    if li[i][char]!=-1:
            ##print('hi')
            ##print(i,char)
            return li[i][char]
    if char==2:
        li[i][2]= max(c[i]+maxim(i-1,1),c[i]+maxim(i-1,0))
        return li[i][2]
    if char==1:
        li[i][1]= max(b[i] + maxim(i - 1, 0), b[i] + maxim(i - 1, 2))
        return li[i][1]
    if char==0:
        li[i][0]= max(a[i] + maxim(i - 1, 1), a[i] + maxim(i - 1, 2))
        return li[i][0]
    if char==3:
        li[i][3]= (max(maxim(n - 1, 2), maxim(n - 1, 1), maxim(n - 1, 0)))
        return li[i][3]
n=int(input())
a, b, c = [], [], []
for _ in range(n):
    x,y,z=get_ints()
    li=[[-1 for i in range(4)]for j in range(n)]
    a.append(x)
    b.append(y)
    c.append(z)
print(maxim(n-1,3))




### FIXED CODE ###

import sys
def get_array(): return list(map(int , sys.stdin.readline().strip().split()))
def get_ints(): return map(int, sys.stdin.readline().strip().split())
def input(): return sys.stdin.readline().strip()


n=int(input())
a, b, c = [], [], []
for _ in range(n):
    x,y,z=get_ints()
    
    a.append(x)
    b.append(y)
    c.append(z)
li=[[-1 for i in range(3)]for j in range(n)]
li[0][0],li[0][1],li[0][2]=a[0],b[0],c[0]
for i in range(1,n):


        li[i][0] = max(a[i] + li[i-1][1] ,a[i] + li[i - 1][2])

        li[i][1] = max(b[i] + li[i - 1][0], b[i] +li[i - 1][2])

        li[i][2] = max(c[i] + li[i - 1][1], c[i] + li[i - 1][0])
print(max(li[n-1]))
### BUGGY CODE ###

import sys
input = sys.stdin.readline

n = int(input())

s = []
cnt = [0] * n
for i in range(n):
  tmp = input()
  tmp = tmp.strip()
  if tmp not in s:
    s.append(tmp)
  else:
    cnt[s.index(tmp)] += 1

_max = 0
for c in cnt:
  if _max < c:
    _max = c
    
results = []
for i in range(len(cnt)):
  if cnt[i] == _max:
    results.append(s[i])

results.sort()
for result in results:
  print(result)

### FIXED CODE ###

n = int(input())

dic = {}
for i in range(n):
  s = input()
  if s in dic:
    dic[s] += 1
  else:
    dic[s] = 1

_max = 0
for v in dic.values():
  if _max < v:
    _max = v
dic2 = sorted(dic.items())

for (k,v) in dic2:
  if v == _max:
    print(k)
### BUGGY CODE ###

from itertools import combinations
from fractions import gcd
N = int(input())
A = list(map(int,input().split()))

comb = list(combinations(A,len(A)-1))
max_gcd = 0
for i in range(len(comb)):
  temp_gcd = comb[i][0]
  for j in range(1,len(comb[i])):
    temp_gcd = gcd(temp_gcd,comb[i][j])

  if temp_gcd > max_gcd:
    max_gcd = temp_gcd

print(max_gcd)

### FIXED CODE ###

from fractions import gcd
N = int(input())
A = list(map(int,input().split()))

L = [0]
R = [0]
for i in range(N-1):
  L.append(gcd(L[i],A[i]))
  R.append(gcd(R[i],A[-i-1]))

max_gcd = 0
for i in range(N):
  max_gcd = max(max_gcd, gcd(L[i],R[-i-1]))

print(max_gcd)
### BUGGY CODE ###

import bisect, copy, heapq, math, sys
from collections import *
from functools import lru_cache
from itertools import accumulate, combinations, permutations, product
def input():
    return sys.stdin.readline()[:-1]
def ruiseki(lst):
    return [0]+list(accumulate(lst))
def celi(a,b):
    return -(-a//b)
sys.setrecursionlimit(5000000)
mod=pow(10,9)+7
al=[chr(ord('a') + i) for i in range(26)]
direction=[[1,0],[0,1],[-1,0],[0,-1]]


s,t=input(),input()
q=int(input())
abcd=[list(map(int,input().split())) for i in range(q)]


for i in range(q):
    a,b,c,d=abcd[i]
    ss,tt=s[a-1:b],t[c-1:d]
    scnt=ss.count("A")-ss.count("B")
    tcnt=tt.count("A")-tt.count("B")
    if abs(scnt-tcnt)%3==0:
        print("YES")
    else:
        print("NO")

### FIXED CODE ###

import bisect, copy, heapq, math, sys
from collections import *
from functools import lru_cache
from itertools import accumulate, combinations, permutations, product
def input():
    return sys.stdin.readline()[:-1]
def ruiseki(lst):
    return [0]+list(accumulate(lst))
def celi(a,b):
    return -(-a//b)
sys.setrecursionlimit(5000000)
mod=pow(10,9)+7
al=[chr(ord('a') + i) for i in range(26)]
direction=[[1,0],[0,1],[-1,0],[0,-1]]


s,t=input(),input()
q=int(input())
abcd=[list(map(int,input().split())) for i in range(q)]

scnt=[(0,0)]*(len(s)+1)
tcnt=[(0,0)]*(len(t)+1)
for i in range(len(s)):
    a,b=scnt[i]
    if s[i]=="A":
        a+=1
    else:
        b+=1
    scnt[i+1]=(a,b)
for i in range(len(t)):
    a,b=tcnt[i]
    if t[i]=="A":
        a+=1
    else:
        b+=1
    tcnt[i+1]=(a,b)
# print(scnt)
# print(tcnt)

for i in range(q):
    a,b,c,d=abcd[i]
    sa,sb=scnt[b],scnt[a-1]
    sa,sb=sa[0]-sb[0],sa[1]-sb[1]
    ta,tb=tcnt[d],tcnt[c-1]
    ta,tb=ta[0]-tb[0],ta[1]-tb[1]
    # print(sa,sb,ta,tb)

    if abs((sa-sb)-(ta-tb))%3==0:
        print("YES")
    else:
        print("NO")