Harryxun/stf_run huggingface dataset:
n = int(input())
x = [int(x) for x in list(input())]

x_cnt = 0
for i, y in enumerate(x):
    if y == 1:
        x_cnt += 1

aa = x_cnt + 1
bb = x_cnt - 1

a = [1 % aa]
if bb > 0:
    b = [1 % bb]
else:
    b = [0]

for _ in range(n-1):
    a.append(a[-1]*2 % aa)
    b.append(b[-1]*2 % bb)

a = a[::-1]
b = b[::-1]

x_ps = 0
x_ng = 0
for i, val in enumerate(x):
    if val == 1:
        x_ps += a[i]
        x_ng += b[i]

for i in range(n):
    ans = 0
    if x[i] == 0:
        cnt = x_cnt + 1
        val = (x_ps + a[i]) % cnt
    else:
        cnt = x_cnt - 1
        if cnt == 0:
            print(ans)
            continue
        val = (x_ng - b[i]) % cnt
    ans += 1

    tmp = val
    cnt = 0
    while tmp > 0:
        if tmp & 1:
            cnt += 1
            tmp = (tmp-1) // 2
        else:
            tmp = tmp // 2

    if cnt == 0:
        print(ans)
        continue

    while val > 0:
        ans += 1
        val = val % cnt
        tmp = val % cnt
        cnt = 0
        while tmp > 0:
            if tmp & 1:
                cnt += 1
                tmp = (tmp-1) // 2
            else:
                tmp = tmp // 2
    print(ans)


### FIXED CODE ###

n = int(input())
x = [int(x) for x in list(input())]

x_cnt = 0
for i, y in enumerate(x):
    if y == 1:
        x_cnt += 1

aa = x_cnt + 1
bb = x_cnt - 1

a = [1 % aa]
if bb > 0:
    b = [1 % bb]
else:
    bb = 1
    b = [0]

for _ in range(n-1):
    a.append(a[-1]*2 % aa)
    b.append(b[-1]*2 % bb)

a = a[::-1]
b = b[::-1]

x_ps = 0
x_ng = 0
for i, val in enumerate(x):
    if val == 1:
        x_ps += a[i]
        x_ng += b[i]

for i in range(n):
    ans = 0
    if x[i] == 0:
        cnt = x_cnt + 1
        val = (x_ps + a[i]) % cnt
    else:
        cnt = x_cnt - 1
        if cnt == 0:
            print(ans)
            continue
        val = (x_ng - b[i]) % cnt
    ans += 1

    tmp = val
    cnt = 0
    while tmp > 0:
        if tmp & 1:
            cnt += 1
            tmp = (tmp-1) // 2
        else:
            tmp = tmp // 2

    if cnt == 0:
        print(ans)
        continue

    while val > 0:
        ans += 1
        val = val % cnt
        tmp = val % cnt
        cnt = 0
        while tmp > 0:
            if tmp & 1:
                cnt += 1
                tmp = (tmp-1) // 2
            else:
                tmp = tmp // 2
    print(ans)
ab, bc, ca = list(map(int, input().split()))

print(int(ab * bc / 2)

### FIXED CODE ###

ab, bc, ca = list(map(int, input().split()))
 
print(int(ab * bc / 2))
while True:
	(x,y) = [int(i) for i in input().split()]
	print(x, y)

### FIXED CODE ###

import sys
    
while True:
    (x, y) = [int(i) for i in sys.stdin.readline().split(' ')]
    
    if x == 0 and y == 0:
        break
    
    if x > y:
        z = x
        x = y
        y = z
    
    print(x, y)
import numpy as np
from collections import Counter
import collections
import numpy as np 
from scipy import sqrt, power, exp, log10
from scipy.fftpack import fft, ifft, fftfreq
import tarfile
import re
import os
import glob
from datetime import datetime
import time
import numpy.linalg as LA
 
round = lambda x:(x*2+1)//2
a,b = list(map(int,input().split()))
S = input()
sub= "AC"
for i in range(b):
    r,l = list(map(int,input().split()))
    n = S1.count(sub,r-1,l-1)
    print(n)

### FIXED CODE ###

import numpy as np
from collections import Counter
import collections
import numpy as np 
from scipy import sqrt, power, exp, log10
from scipy.fftpack import fft, ifft, fftfreq
import tarfile
import re
import os
import glob
from datetime import datetime
import time
import numpy.linalg as LA

round = lambda x:(x*2+1)//2
a,b = list(map(int,input().split()))
S = input()
sub= "AC"
l = np.zeros(len(S)+1)
for i in range(len(S)):
  l[i+1] = l[i] + (1 if S[i:i+2]=="AC" else 0)

for i in range(b):
    r,t = list(map(int,input().split()))
    n = l[t-1]-l[r-1]
    print(int(n))
a,b=map(int,input().split()
print("Impossible" if a*b*(a+b)%3 else "Possible")

### FIXED CODE ###

a,b=map(int,input().split())
print("Impossible" if a*b*(a+b)%3 else "Possible")
S=input()

ans=[]
count=0

for i in range(len(S)):
    if S[i]=="A" or S[i]=="C" or S[i]=="G" or S[i]=="T":
        count+=1
    else:
        ans.append(count)
        count=0

print(max(ans))

### FIXED CODE ###

S=input()

ans=[]
count=0

for i in range(len(S)):
    if S[i]=="A" or S[i]=="C" or S[i]=="G" or S[i]=="T":
        count+=1
    else:
        ans.append(count)
        count=0

ans.append(count)

print(max(ans))
a, b = int(intput().split())
print(a * b)


### FIXED CODE ###

a, b = map(int, input().split())
print(a * b)
#参考
#https://atcoder.jp/contests/aising2019/submissions/3995168
import bisect
N,Q=map(int,input().split())
A=list(map(int,input().split()))
Asum=[0]*N
Asum2=[0]*N
total=0
total2=0
for i in range(N):
  total+=A[i]
  Asum[i]=total
  if i>1:
    Asum2[i]=A[i]+Asum2[i-2]
  else:
    Asum2[i]=A[i]

#yで高橋くんと青木くんの取りたいカードが初めて衝突すると考える。
#このようなyは半分より小さい所にはないので初期値を半分のところとする。
#yがNまで来た時は最初から交互に取る
y=N//2-1

for i in range(Q):
  
  ans=0
  x=int(input())
  while x>A[y] and y<=N-1:
    y+=1
  while y<=N-1:
    takahashi=N-y
    aoki=y+1-bisect.bisect_left(A,x-(A[y]-x))
    if takahashi>aoki:
      y+=1
    else:
      break;
      #右端からA[y]までは全て高橋くんが取る
  ans+=Asum[N-1]-Asum[y-1]
  #青木くんはyからN-y個取っているので、その下のところから交互に取る
  if y-(N-y)-1<0:
    print(ans)
    continue;
  ans+=Asum2[y-(N-y)-1]
  
  print(ans)

### FIXED CODE ###

#参考
#https://atcoder.jp/contests/aising2019/submissions/3995168

import bisect

N,Q=map(int,input().split())

A=list(map(int,input().split()))
Asum=[0]*N
Asum2=[0]*N
total=0

for i in range(N):
  total+=A[i]
  Asum[i]=total
  if i>1:
    Asum2[i]=A[i]+Asum2[i-2]
  else:
    Asum2[i]=A[i]

X=[] 
for i in range(Q):
  X.append((int(input()),i))
X.sort(key=lambda x :x[0])
  

#yで高橋くんと青木くんの取りたいカードが初めて衝突すると考える。
#このようなyは半分より小さい所にはないので初期値を半分のところとする。
#yがNまで来た時は最初から交互に取る
#Xを小さい順から計算することで、yの値が単調増加になる
y=N//2-1
ans=[0]*Q
for x,i in X:
  while y<=N-1 and x>A[y]:
    y+=1
  while y<=N-1:
    takahashi=N-y
    aoki=y+1-bisect.bisect_left(A,x-(A[y]-x))
    if takahashi>aoki:
      y+=1
    else:
      break
  #右端からA[y]までは全て高橋くんが取る
  ans[i]+=Asum[N-1]-Asum[y-1]
  #青木くんはyからN-y個取っているので、その下のところから交互に取る
  if y-(N-y)-1<0:
    continue
  ans[i]+=Asum2[y-(N-y)-1]

for i in range(Q):
  print(ans[i])
a=input()
b=input()
c=a.split()
n=int(b[0])
m=b[1]
d=b.split()
d=[int(i) for i in d]
d.sort(reverse=True)
count=0
c=0
ll=list()
for i in d:
    if count!=0:
        ll.append(c-i)
    c=i
    count+=1
ll.sort()
for i in range(n):
    del ll[-1]
print(sum(ll))
    


### FIXED CODE ###

a=input()
b=input()
c=a.split()
n=int(c[0])
d=b.split()
d=[int(i) for i in d]
d.sort(reverse=True)
count=0
ll=list()
for i in d:
    if count!=0:
        ll.append(c-i)
    c=i
    count+=1
ll.sort()
for i in range(n-1):
    ccc=len(ll)
    if ccc>=1:
        del ll[-1]
print(sum(ll))
N = int(input())
A = list(map(int, input().split(' ')))

def sum(a, b):
    if b == 0:
        return a[b]
    else:
        return a[b] + sum(a, b-1)
sumA = []
for i in range(N):
    sumA.append(sum(A, i))

ans = 0

for i in range(N):
    if sumA[-1] // 2 > sumA[i]:
        continue
    else:
        if i == 0:
            ans = abs(sumA[i] * 2 - sumA[-1])
            break
        else:
            ans = min(abs(sumA[i] * 2 - sumA[-1]), abs(sumA[i-1] * 2 - sumA[-1]))
            break

print(ans)

### FIXED CODE ###

import sys
    
sys.setrecursionlimit(200000)
    
N = int(input())
A = list(map(int, input().split(' ')))
    

sumA = []
for i in range(N):
    if i == 0:
        sumA.append(A[i])
    else:
        sumA.append(sumA[-1] + A[i])
    
ans = 0
    
for i in range(N):
    if sumA[-1] // 2 > sumA[i]:
        continue
    else:
        if i == 0:
            ans = abs(sumA[i] * 2 - sumA[-1])
            break
        else:
            ans = min(abs(sumA[i] * 2 - sumA[-1]), abs(sumA[i-1] * 2 - sumA[-1]))
            break
    
print(ans)
S = input()
N = len(S)
i = list(S)
if i[0:((N+3)//2-2)] == [((N+3)//2):N]:
  print('Yes')
elif:
  print('No')

### FIXED CODE ###

S = input()
N = len(S)
A = (len(S) - 1) // 2
B = (len(S) + 3) // 2
if S[0:A] == S[B - 1:N]:
  print('Yes')
else:
  print('No')
N=int(input())
slimes = []
slimes.append(input())
lastColor = slimes[0]
for i in range(N-1):
	new_slime = input()
	if not lastColor == new_slime:
    	slimes.append(new_slime)
print(slimes.length())

### FIXED CODE ###

N=int(input())
slimes = []
all_slime=input()
slimes.append(all_slime[0])
lastColor = all_slime[0]
for i in range(1,N):
    new_slime = all_slime[i]
    if not lastColor == new_slime:
        slimes.append(new_slime)
    lastColor=new_slime
print(len(slimes))
A, B, K = map(int, input().split())
print("\n".join(list(range(A, B + 1))[:K] + list(range(A, B + 1))[-K:]))


### FIXED CODE ###

A, B, K = map(int, input().split())
num_range = range(A, B + 1)
for i in sorted(set(num_range[:K]) | set(num_range[-K:])):
    print(i)
import math
from functools import reduce

def lcm(x, y):
    return (x * y) // math.gcd(x, y)

def lcm_list(l):
    return reduce(lcm, l, 1)


ans = 0

dev = 10 ** 9 + 7

n = int(input())

a = list(map(int, input().split()))

z = lcm_list(a)


for i in a:
    ans += z // i
    ans = ans % dev

print(ans)

### FIXED CODE ###

import fractions
from functools import reduce

def lcm(x, y):
    return (x * y) // fractions.gcd(x, y)

def lcm_list(l):
    return reduce(lcm, l, 1)


ans = 0

dev = 10 ** 9 + 7

n = int(input())

a = list(map(int, input().split()))

z = lcm_list(a)



for i in a:
    ans += z // i
    #ans = ans % dev

print(ans%dev)
import numpy as np
from functools import lru_cache


@lru_cache(maxsize=None)
def div(n, d):
    cnt = 0
    while n % d == 0 and cnt < 18:
        n //= d
        cnt += 1
    return cnt


n = int(input())

arr2 = []
arr5 = []
for _ in range(n):
    x = round(float(input()) * 10**9)
    arr2.append(div(x, 2))
    arr5.append(div(x, 5))

arr2 = np.array(arr2)
arr5 = np.array(arr5)
shape = arr2.shape[0]

arr2 = (arr2 + np.zeros([shape, shape], np.int64)).astype(np.int32)
arr5 = (arr5 + np.zeros([shape, shape], np.int64)).astype(np.int32)

arr2 = np.tril(arr2 + arr2.T)
arr2 -= arr2.T
arr5 = np.tril(arr5 + arr5.T)
arr5 -= arr5.T

result = (arr2 >= 18).astype(np.int32) + (arr5 >= 18).astype(np.int32)

print(np.sum(result >= 2))

### FIXED CODE ###

def div(n, d):
    cnt = 0
    while n % d == 0 and cnt < 18:
        n //= d
        cnt += 1
    return cnt


n = int(input())
dp = [[0]*19 for _ in range(19)]

ans = 0
for _ in range(n):
    x = round(float(input()) * pow(10, 9))
    two = div(x, 2)
    five = div(x, 5)
    ans += dp[18 - two][18 - five]
    for i in range(two + 1):
        for j in range(five + 1):
            dp[i][j] += 1

print(ans)
import sys
sys.setrecursionlimit(10 ** 6)
MOD = 10**9+7

def input():
    return sys.stdin.readline()[:-1]

# dp[dgt][mo] := dgt桁目まで確定していて, そこまでで13で割った余りがmoである組み合わせ
# ?であるときは, その数にしかできないため, その数をつかう
# ?であるときは0~9を全て試して遷移させよう
def main():
    S = input()
    l = len(S)
    dp = [[0]*(13) for _ in range(10**5)]
    dp[0][0] = 1
    for dgt in range(l):
        for mo in range(13):
            if S[dgt]=="?":
                for nxt in range(10):
                    dp[dgt+1][(mo * 10 + nxt)%13] += dp[dgt][mo]
            else:
                dp[dgt+1][(mo*10 + int(S[dgt]))%13] += dp[dgt][mo]
    print(dp[l][5]%MOD)


if __name__ == "__main__":
    main()


### FIXED CODE ###

INF = 10 ** 9 + 7

S = input()
# dp[i][j]はうしろからi桁を13で割った余りがjであるものの個数
dp = [[0] * 13 for _ in range(len(S) + 1)]
dp[0][0] = 1
mul = 1

for i in range(len(S)):
    x = S[-(i + 1)]
    if x == "?":
        for k in range(10):
            for j in range(13):
                dp[i + 1][(mul * k + j) % 13] += dp[i][j]
                dp[i + 1][(mul * k + j) % 13] %= INF
    else:
        k = int(x)
        for j in range(13):
            dp[i + 1][(mul * k + j) % 13] += dp[i][j]
            dp[i + 1][(mul * k + j) % 13] %= INF
    mul = mul * 10 % 13  # 計算量削減のためここで13で割っている

print(dp[len(S)][5])
N = int(input())
A = list(set(map(int, input().split())))


# ユークリッド互除法の関数の定義
def gcd(a, b):
    if b == 0:
        return a
    return gcd(b, a % b)


max_A = max(A)
gcd_list = []
if N == 1:
    print(A[0])
else:
    element = gcd(A[0], A[1])
    if N == 2:
        print(element)
        exit()
    else:
        for i in range(N):
            tmp = A[i]
            A[i] = max_A
            for j in range(2, N):
                element = gcd(element, A[i])
            gcd_list.append(element)
            A[i] = tmp
print(max(gcd_list))
# 最大の値と変えてもいい


### FIXED CODE ###

def gcd(m, n):
    while n:
        m, n = n, m % n
    return m


N = int(input())
A = list(map(int, input().split()))

left = [0]
right = [0]

for i in range(N):
    left.append(gcd(left[-1], A[i]))
    right.append(gcd(right[-1], A[(N-1)-i]))  # こっちのAは後ろからみる, iがN-1になった時はA[0]


right.reverse()  # indexが小さいほうが多くの数字を考慮した最大公約数になっている


gcd_list = [gcd(left[i], right[i+1]) for i in range(N)]

print(max(gcd_list))
n,m = map(int,input().split())
lst = []
for i in range(m):
  lst.append(input().split())
  
task = 1
taskLst = [lst[0][0]]
temp = lst[0][0]
for i in lst:
  if i[0] == temp:
    continue
  else:
    task += 1
    taskLst.append(i[0])
    temp = i[0]
    
resLst = []
for i in range(len(taskLst)):
  tempLst = []
  for j in range(len(lst)):
    if lst[j][0] == taskLst[i]:
      if lst[j][1] == 'WA':
      	tempLst.append(lst[j][1])
      else:
        tempLst.append(lst[j][1])
        break
  resLst.append(tempLst)

finalLst = []
for i in range(len(resLst)):
  for j in range(len(resLst[i])):
    finalLst.append(resLst[i][j])
    
print(str(finalLst.count('AC')) + ' ' + str(finalLst.count('WA')))

### FIXED CODE ###

N,M = [int(i) for i in input().split()]
submissions = {str(i):[] for i in range(1,N+1)}
AC,WA = 0,0
for i in range(M):
    P,S = [j for j in input().split()]
    submissions[P].append(S)
for i in submissions:
    if 'AC' not in submissions[i]:
        continue
    for j in submissions[i]:
        if j == 'AC':
            AC+=1
            break
        WA +=1
print(AC,WA)
n, d = list(map(int, input().split()))
p = []
ans = 0
for i in n:
  p.append(list(map(int, input().split())))
  for j in range(i):
    s = 0
    for k in d:
      s += (p[i][k] - p[j][k]) ** 2
    t = int(s ** 0.5 + 1e-7)
    if t * t == s:
      ans += 1
print(ans)

### FIXED CODE ###

n, d = list(map(int, input().split()))
p = []
ans = 0
for i in range(n):
  p.append(list(map(int, input().split())))
  for j in range(i):
    s = 0
    for k in range(d):
      s += (p[i][k] - p[j][k]) ** 2
    t = int(s ** 0.5 + 1e-7)
    if t * t == s:
      ans += 1
print(ans)
X = int(input())
print("YNeos")[x>29::2]

### FIXED CODE ###

X = int(input())
print("YNeos"[not(X>=30)::2])
n, x = [int(i) for i in input().split()]

def tlen(L):
    l = 1
    for i in range(1, L):
        l = l*2 + 3
    return l

def tpat(L):
    p = 1
    for i in range(1, L):
        p = p*2 + 1
    return p

def maisu(n, x):
    tl = tlen(n)
    if x == 1:
        return(0)
    elif n == 1:
        b = "bpppb"
        b = b[:x]
        return(b.count(p))
    elif 2 <= x <= 1+tl-1:
        return(maisu(n-1, x-1))
    elif x == 1+tl:
        return(tpat(n))
    elif x == 2+tl:
        return(tpat(n)+1)
    elif tl+3 <= x <= 1+tl*2:
        return(tpat(n)+1+maisu(n-1,x-2-tl))
    else:
        return(tpat(n)*2+1)  

print(maisu(n,x))

### FIXED CODE ###

n, x = [int(i) for i in input().split()]

def tlen(L):
    l = 1
    for i in range(1, L):
        l = l*2 + 3
    return l

def tpat(L):
    p = 1
    for i in range(1, L):
        p = p*2 + 1
    return p

def maisu(n, x):
    tl = tlen(n)
    if x == 1:
        return(0)
    elif n == 1:
        b = "bpppb"
        b = b[:x]
        return(b.count("p"))
    elif 2 <= x <= 1+tl-1:
        return(maisu(n-1, x-1))
    elif x == 1+tl:
        return(tpat(n))
    elif x == 2+tl:
        return(tpat(n)+1)
    elif tl+3 <= x <= 1+tl*2:
        return(tpat(n)+1+maisu(n-1,x-2-tl))
    else:
        return(tpat(n)*2+1)  

print(maisu(n,x))
S = input()
T = input()
count = 0
for i in range(3):
  if S[i]=T[i]:
    count += 1
print(count)

### FIXED CODE ###

S = input()
T = input()
count = 0
for i in range(3):
  if S[i]==T[i]:
    count += 1
print(count)
import math

N, K = list(map(int,input().split()))
A = list(map(int,input().split()))

def is_ok(mid):
    cnt = 0
    for i in range(N):  cnt += math.floor(A[i] / mid)
    return cnt <= K

def binary_search(left, right):
    while (abs(right - left) > 1):
        mid = (left + right) // 2
        if is_ok(mid):  right = mid
        else:  left = mid
    return right

left = max(A)
right = -1
ret = binary_search(right, left)
print(ret)

### FIXED CODE ###

import math

N, K = list(map(int,input().split()))
A = list(map(int,input().split()))

def is_ok(mid):
    cnt = 0
    for i in range(N):  cnt += (math.ceil(A[i] / mid) - 1)
    return cnt <= K

def binary_search(left, right):
    while (abs(right - left) > 1):
        mid = (left + right) // 2
        if is_ok(mid):  right = mid
        else:  left = mid
    return right

if K == 0:  print(max(A))
else:
    left = max(A)
    right = 0
    ret = binary_search(right, left)
    print(ret)
def solve(a,dp,n):
  if n==0 or n==1:
    return 0
  if n==2:
    return abs(a[0]-a[1])
  if dp[n]>0:
    return dp[n]
  opt1 = abs(a[0]-a[1])+solve(a[1:],dp,n-1)
  opt2 = abs(a[0]-a[2])+solve(a[2:],dp,n-2)
  output = min(opt1,opt2)
  dp[n]=output
  return output

n = int(input())
a = list(map(int,input().split()))
dp = [0]*(n+1)
print(solve(a,dp,n))


 

### FIXED CODE ###

import sys

n = int(input())
a = list(map(int,input().split()))
dp = [sys.maxsize]*(n)
dp[0] = 0
for i in range(n-1):
  for j in (i+1,i+2):
    if j<n:
      dp[j] = min(dp[j],dp[i]+abs(a[i]-a[j]))

print(dp[n-1])
n = int(input())
def dfs(s):
    if int(s)>n:
        return 0
    res = 1 if all(s.count(c) > 0 for c in '753') else 0
    for i in '753':
        res += dfs(s+i)
dfs('0')


### FIXED CODE ###

n = int(input())
def dfs(s):
    if int(s)>n:
        return 0
    res = 1 if all(s.count(c) > 0 for c in '753') else 0
    for i in '753':
        res += dfs(s+i)
    return res
print(dfs('0'))
a=input()
if a in 7:
  print('Yes')
else:
  print('No')

### FIXED CODE ###

a = str(input())
if '7' in a:
  print('Yes')
else:
  print('No')
alph={chr(i) for i in range(97,123)}
s=input()
n=len(s)

if n<26:
  print(s+sorted(alph-set(s))[0])
else:
  for i in range(n-1)[::-1]:
    if s[i]<s[i+1]:
      break
    if i==0:
      print(-1)
      exit()
for j in sorted(s[i+1:]):
  if j>s[i]:
    break
print(s[:i]+j)

### FIXED CODE ###

a={chr(i) for i in range(97,123)}
s=input()
n=len(s)
if n<26:
  print(s+sorted(a-set(s))[0])
else:
  for i in range(2,27):
    if s[-i]<s[-i+1]:
      break
    if i==26:
      print(-1)
      exit()
  for j in sorted(s[-i+1:]):
    if j>s[-i]:break
  print(s[:-i]+j)
N, T = map(int,input().split())
ans = float("inf")

for i in range(N):
    c,t = map(int,input().split())
    if t <= T:
        ans = min(ans,c)

if ans == float("inf"):
    print("TLE")
else:
    print(ans)


### FIXED CODE ###

N = int(input())
if N == 1:
    print("Hello World")
elif N == 2:
    A = int(input())
    B = int(input())
    print(A + B)
from math import gcd

T = int(input())
ABCD = [[int(i) for i in input().split()] for _ in range(T)]

def solve(A, B, C, D) :
    if B > A or B > D :
        return 'No'
        
    a0 = A % B
    d = gcd(B, D)
    if a0 + ((C - a0) // d + 1) * d >= B :
        return 'Yes'
        
    return 'No'

for A, B, C, D in ABCD :
    print(solve(A, B, C, D))

### FIXED CODE ###

T = int(input())
ABCD = [[int(i) for i in input().split()] for _ in range(T)]

def gcd(a, b) :
    a, b = max(a, b), min(a, b)
    while b != 0 :
        a, b = b, a % b
    return a

def solve(A, B, C, D) :
    if B > A or B > D :
        return 'No'
        
    a0 = A % B
    d = gcd(B, D)
    if a0 + ((C - a0) // d + 1) * d >= B :
        return 'Yes'
        
    return 'No'

for A, B, C, D in ABCD :
    print(solve(A, B, C, D))
import numpy as np
n, m = map(int, input().split())
x = list(map(int, input().split()))

x = sorted(x)
diff = np.asarray([x[i + 1] - x[i] for i in range(len(x) - 1)])
argsort = diff.argsort()[::-1][:n - 1]

x_list = []
start = 0
for split_idx in argsort:
    x_list.append(x[start:split_idx+1])
    start = split_idx+1
x_list.append(x[start:])

sum_length = 0
for cur_x in x_list:
    sum_length += cur_x[-1] - cur_x[0]

print(sum_length)

### FIXED CODE ###

import numpy as np
n, m = map(int, input().split())
x = list(map(int, input().split()))

x = sorted(x)
diff = np.asarray([x[i + 1] - x[i] for i in range(len(x) - 1)])
argsort = diff.argsort()[::-1][:n - 1]

start = 0
sum_length = 0
for split_idx in argsort:
    sum_length += x[split_idx] - x[start]
    start = split_idx + 1
sum_length += x[-1] - x[start]

print(sum_length)
N, M = list(map(int, input().split()))
XYZ = []
for _ in range(M):
    XYZ.append(list(map(int, input().split())))


class UnionFind():
    def __init__(self, n):
        self.rank = [1 for _ in range(n)]
        self.parent = [i for i in range(n)]

    def union(self, i, j):
        i = self.root(i)
        j = self.root(j)
        if i == j:
            return
        if self.rank[i] < self.rank[j]:
            self.parent[i] = j
        else:
            if self.rank[i] == self.rank[j]:
                self.rank[j] += 1
            self.parent[j] = i

    def same(self, i, j):
        return self.root(i) == self.root(j)

    def root(self, i):
        if self.parent[i] != i:
            self.parent[i] = self.root(self.parent[i])
        return self.parent[i]


uf = UnionFind(N)

for xyz in XYZ:
    X, Y, Z = xyz
    uf.union(X-1, Y-1)

ans = 0

for i in range(N):
    if uf.root(i) == i:
        ans += 1

print(ans)


### FIXED CODE ###

N, M = list(map(int, input().split()))


class UnionFind():
    def __init__(self, n):
        self.rank = [1 for _ in range(n)]
        self.parent = [i for i in range(n)]

    def union(self, i, j):
        i = self.root(i)
        j = self.root(j)
        if i == j:
            return
        if self.rank[i] < self.rank[j]:
            self.parent[i] = j
        else:
            if self.rank[i] == self.rank[j]:
                self.rank[j] += 1
            self.parent[j] = i

    def same(self, i, j):
        return self.root(i) == self.root(j)

    def root(self, i):
        if self.parent[i] != i:
            self.parent[i] = self.root(self.parent[i])
        return self.parent[i]


uf = UnionFind(N)

for _ in range(M):
    X, Y, _ = list(map(int, input().split()))
    uf.union(X-1, Y-1)

ans = 0

for i in range(N):
    if uf.parent[i] == i:
        ans += 1

print(ans)
A, B, K = list(map(int, input().split()))

S = [1]

for i in range(2,min(A,B)):
    if A % i == 0 and B % i == 0:
        S.append(i)

S.append()

print(S[K-1])

### FIXED CODE ###

A, B, K = list(map(int, input().split()))

S = [1]

for i in range(2,min(A+1,B+1)):
    if A % i == 0 and B % i == 0:
        S.append(i)

S.sort(reverse=True)

print(S[K-1])
S = input()
K = int(input())


Costs = {chr(98 + i): (25 - i) for i in range(25)}
Costs['a'] = 0


ans = ""
for i in range(len(S) - 1):
    s = S[i]
    if K >= Costs[s]:
        K -= Costs[s]
        ans += 'a'
    else:
        ans += s

if K:
    tail = ans[-1]
    tail_ord = ord(tail)
    ans = ans[:-1] + chr((tail_ord + K) % 97 + 97)

print(ans)


### FIXED CODE ###

S = input()
K = int(input())
cost = [(ord("z") - ord(s) + 1) % 26 for s in S]
A = [chr(ord("a") + i) for i in range(26)]

ans = ""
for i in range(len(S)-1):
    if cost[i] <= K:
        K -= cost[i]
        ans += "a"
    else:
        ans += S[i]

ans += A[(A.index(S[-1]) + K) % 26]
print(ans)
N = int(input())
S, T = input().split()
A = ""

for i in range(N):
    A += S[i]
    A += T[i]
    
print(A)

### FIXED CODE ###

A = int(input())
B = int(input())
 
print(6-A-B)	#和から誤答を引けば正答