Harryxun/stf_run huggingface dataset:
import sys

args = sys.argv
a = int(args[0])
b = int(args[1])

def P(x,y):
 print(x*y,2*(x+y))
 return 0

P(a,b)

### FIXED CODE ###

t = input()
t = t.split()
a = int(t[0])
b = int(t[1])

def P(x,y):
 print(x*y,2*(x+y))
 return 0

P(a,b)
from collections import defaultdict
import heapq
n,m=map(int,input().split())
dic=defaultdict(list)
for i in range(n):
    a,b=map(int,input().split())
    dic[a]+=(-b)
    
li=[]
ans=0

for i in range(1,m+1):
    if dic[i]:
        for j in dic[i]:
            heapq.heappush(li,j)
    if li:
        ans+=heapq.heappop(li)
print(-ans)

### FIXED CODE ###

from collections import defaultdict
import heapq
n,m=map(int,input().split())
dic=defaultdict(list)
for i in range(n):
    a,b=map(int,input().split())
    dic[a].append(-b)
    
li=[]
ans=0

for i in range(1,m+1):
    if dic[i]:
        for j in dic[i]:
            heapq.heappush(li,j)
    if li:
        ans+=heapq.heappop(li)
print(-ans)
while 1:
 n = input()
 if int(n) == 0:
  break
 sum = 0
 for i in range(n):
  sum += int(i)
 print(sum)

### FIXED CODE ###

while 1:
 n = input()
 if int(n) == 0:
  break
 sum = 0
 for i in range(len(n)):
  sum += int(n[i])
 print(sum)
#幅優先探索による全探索
from collections import deque

def bfs(N):
    S = "abcdefghij"
    result = []
    deq = deque(["a"])

    while deq:
        s = deq.popleft()
        if len(s) == N:
            result.append(s)
            continue
        else:
            for i in S[:len(set(s))+1]:
                deq.append(s + i)
    return result

N = int(input())
ans = bfs(N)
print('\n'.join(ans))

### FIXED CODE ###

from collections import deque
S = deque(list(input()))
Q = int(input())
Flag = True
for _ in range(Q):
    q = input().split()
    if len(q) == 1:
        Flag = False if Flag else True
    else:
        if Flag:
            if q[1] == '1':
                S.appendleft(q[2])
            else:
                S.append(q[2])
        else:
            if q[1] == '1':
                S.append(q[2])
            else:
                S.appendleft(q[2])

if Flag:
    print(''.join(S))
else:
    print(''.join(reversed(S)))
N = int(input())
A = list(map(int,input().split()))
Asum = sum(A)
Asum2 = 0
for mid in range(len(A)):
    if 2*Asum2 > Asum:
        Asum3 = Asum2
        mid -= 1
        Asum2 -= A[mid]
        break
    Asum2 += A[mid]

if abs(Asum - 2*Asum2) <= abs(Asum - 2*Asum3):
    Asuma = Asum2
else:
    Asuma = Asum3
c = abs(Asum - 2*Asuma)
print(c)
        

### FIXED CODE ###

N = int(input())
A = list(map(int,input().split()))
Asum = sum(A)
Asum2 = 0
c = 0
for mid in range(len(A)):
    if 2*Asum2 > Asum:
        c =1
        Asum3 = Asum2
        mid -= 1
        Asum2 -= A[mid]
        break
    Asum2 += A[mid]
if c == 0:
    if 2*Asum2 > Asum:
        Asum3 = Asum2
        mid -= 1
        Asum2 -= A[mid]
if abs(Asum - 2*Asum2) <= abs(Asum - 2*Asum3):
    Asuma = Asum2
else:
    Asuma = Asum3
c = abs(Asum - 2*Asuma)
print(c)
int_k = int(input())

if int_k % 2 == 0:
    print((int_k // 2) ** 2)
else:
    print((int_k // 2) * ((int_k //2) + 1))


### FIXED CODE ###

int_x1, int_y1, int_x2, int_y2 = map(int, input().split())

int_x3 = int_y3 = int_x4 = int_y4 = 0

int_x = int_x2 - int_x1
int_y = int_y2 - int_y1

print(int_x2 - int_y, int_y2 + int_x, int_x1 - int_y, int_y1 + int_x)
a, b, k = map(int, input().split())
x = list(range(a, b+1))

print('\n'.join(sorted(set(map(int, x[:k] + x[-k:])))))

### FIXED CODE ###

a, b, k = map(int, input().split())
x = range(a, b+1)

for i in sorted(set(x[:k]) | set(x[-k:])):
    print(i)
a = [str(item) for item in input().split()]
seki = a[0] * a[1]

if seki // 2 == 0:
    print('Odd')
else:
    print('Even')

### FIXED CODE ###

a = [int(item) for item in input().split()]
seki = a[0] * a[1]
if seki % 2 == 0:
    print('Even')
else:
    print('Odd')
ans = (N // (A+B)) * A
N -= ((A+B) * (N // (A+B)))
if N >= A:
    ans+=A
else:
    ans+=N

print(ans)

### FIXED CODE ###

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

if B==0:
    print(N)
elif A==0:
    print(0)
else:
    n = (N//(A+B))
    ans = n * A
    N -= n*(A+B)
    if N >= A:
        ans+=A
    else:
        ans+=N
    print(ans)
import numpy as np
#from numba import njit

#(N, K) = map(int, input().split())
#A = np.array(list(map(int, input().split())))
N = int(input())
h = np.array(list(map(int, input().split())))

#@njit
def solve(N,h,s):
    if (np.all(h <= 0)):
        return s
    else:
        w = np.where(h > 0)[0]
        l = w[0]
        r = w[0]
        i = 1
        while (i < len(w)):
            if (w[i] == r + 1):
                r = w[i]
            i += 1
        cat = np.concatenate([h[:l], h[l:r+1]-1, h[r+1:]])
        return solve(N, cat, s+1)

print(solve(N,h,0))


### FIXED CODE ###

import numpy as np
#from numba import njit

#(N, K) = map(int, input().split())
#A = np.array(list(map(int, input().split())))
N = int(input())
h = np.array(list(map(int, input().split())))

#@njit

def solve(N,h):
    s = 0
    while (np.any(h > 0)):
        w = np.where(h > 0)[0]
        l = w[0]
        r = w[0]
        i = 1
        while (i < len(w)):
            if (w[i] == r + 1):
                r = w[i]
            i += 1
        
        h = np.concatenate([h[:l], h[l:r+1]-1, h[r+1:]])
        s += 1
    return s

print(solve(N,h))
import sys
def input(): return sys.stdin.readline().strip()
def mapint(): return map(int, input().split())
sys.setrecursionlimit(10**9)

N, A, B = mapint()
if A+B-1>N or N>A*B:
    print(-1)
else:
    cnt = N
    blocks = list(range(B, 0, -1))
    blocks.extend([0]*B*(A-1))
    flg = True
    loop = 0
    while flg:
        flg = False
        for i in range(A-1, 0, -1):
            blocks[i*B+loop] = cnt
            cnt -= 1
            if cnt==B:
                break
        else:
            flg = True
            loop += 1
    blocks = [i for i in blocks if i!=0]
    print(*blocks)

### FIXED CODE ###

import sys
def input(): return sys.stdin.readline().strip()
def mapint(): return map(int, input().split())
sys.setrecursionlimit(10**9)

N, A, B = mapint()
from collections import deque
if A+B-1>N or N>A*B:
    print(-1)
else:
    blocks = []
    blocks.append(' '.join(map(str, range(B, 0, -1))))
    now = B+1
    rest = N-A+2

    while now:
        if now>=rest:
            break
        if now+B>rest:
            blocks.append(' '.join(map(str, range(rest, now-1, -1))))
            rest += 1
            break
        blocks.append(' '.join(map(str, range(now+B-1, now-1, -1))))
        now = now+B
        rest += 1
    blocks.append(' '.join(map(str, range(rest, N+1))))
    print(' '.join(blocks))
from collections import Counter 
from collections import defaultdict
from collections import deque
from functools import reduce
import math
import itertools
import heapq
import numpy as np
import sys
sys.setrecursionlimit(10**6)

#n=int(input())
#n,m=list(map(int,input().split()))
#a=list(map(int,input().split()))
ceil=lambda x,y: (x+y-1)//y
input_list = lambda : list(map(int,input().split()))



#bfs内で処理すると使い回しが効かないのでsearch_color とか幅探索後の具体的な処理は別個にしたほうがいい
def bfs(s,n,node):
    check=[False for _ in range(n)]
    queue=[n for _ in range(n)]
    now=0
    queue[now]=s
    ans=[-1 for _ in range(n)]
    ans[0]=[0]
    last_ind=1
    while last_ind<n:
        print(now)
        print(queue)
        print(check)
        print()
        #全探索が終わらない場合
        if queue[now]==n:
            return []
        if check[queue[now]]:
            now+=1
            continue
        for i in node[queue[now]]:
            edge=i[0]
            
            ind=i[1]
            if check[edge]:
                continue

            queue[last_ind]=edge
            last_ind+=1
            #check[edge]=True
            
            ans[edge]=queue[now]
        check[queue[now]]=True
        now+=1
    return ans



n,m=input_list()
node=[[] for _ in range(n)]
for i in range(m):
    u,v=input_list()
    u-=1
    v-=1
    node[u].append([v,i])
    node[v].append([u,i])

#print(np.array(node))

ans=bfs(0,n,node)
if len(ans)==0:
    print("No")
    exit()

print("Yes")
for each in ans[1:]:
    print(each+1)








### FIXED CODE ###

input_list = lambda : list(map(int,input().split()))


#bfs内で処理すると使い回しが効かないのでsearch_color とか幅探索後の具体的な処理は別個にしたほうがいい
def bfs(s,n,node):
    c=[-1 for _ in range(n)]
    c[0]=0
    
    side_num_arr=list(map(lambda x :len(x),node))
    #print(l)
    queue=[-1 for _ in range(n)]
    now=0
    queue[now]=s
    ans=[-1 for _ in range(n)]
    ans[0]=[0]
    last_ind=1
    while last_ind<n:
        
        if now>=n:
            return []
        c[queue[now]]=True
        if side_num_arr[queue[now]]<=0:
            now+=1
            continue
        for edge in node[queue[now]]:
            #edge=i[0]
            if side_num_arr[edge]<=0 or c[edge]==True:
                continue
            side_num_arr[edge]-=1
            
            queue[last_ind]=edge
            last_ind+=1
            c[edge]=True
            ans[edge]=queue[now]

        side_num_arr[queue[now]]=0
        now+=1
    return ans



n,m=input_list()
node=[[] for _ in range(n)]

for i in range(m):
    u,v=input_list()
    u-=1
    v-=1
    node[u].append(v)
    node[v].append(u)

#print(np.array(node))

ans=bfs(0,n,node)
if len(ans)==0:
    print("No")
    exit()

print("Yes")
for each in ans[1:]:
    print(each+1)
s=int(input())
print(S//3600 +":"+ s//60%60 +":"+ s%60)


### FIXED CODE ###

S = int(input())
h = S // 3600
m = S % 3600 // 60
s = S % 60
print(str(h)+":"+str(m)+":"+str(s))
N, K = map(int, input().split())
A = sorted(map(int, input().split()))

sum_A = sum(A)
if sum_A < K:
    print(len(A))
    exit()
elif sum_A == K:
    print(0)
    exit()

dp = [[False] * len(A) for i in range(len(A))]
sum_A_list = []
for i in range(N):
    if i == 0:
        sum_A_list.append(A[i])
        continue

    sum_A_list.append(sum_A_list[i - 1] + A[i])

idx = 0
for i in range(N - 1, -1, -1):
    if sum_A_list[i] < K:
        idx = i
        break

for i in range(idx + 1):
    if sum_A_list[idx + 1] - sum_A_list[i] >= K:
        continue
    else:
        idx = i - 1
        break

print(idx + 1)


### FIXED CODE ###

def main():
    N, K = map(int, input().split())
    A = [0] + list(map(int, input().split()))
    
    rdp_shift = [N + 1] * K  # rdp_shift[j] = (右からi個を使って部分和jを作れるような最初のi)
    rdp_shift[0] = 0
    rdp = [0] * K  # rdp[i][j] = (a(-1),...,a(-i)の部分和でjを作れるか)
    rdp[0] = 1
    for i in range(N):
        rdp2 = [0] * K
        for j in range(K):
            if rdp[j] == 1:
                rdp2[j] = 1
            elif (j >= A[-i] and rdp[j - A[-i]] == 1):
                # print(j - A[i])
                rdp2[j] = 1
                rdp_shift[j] = i
                # print(rdp_shift)
        rdp = rdp2
    # print(rdp_shift)
    ldp = [0] * K  # ldp[i][j] = (a1,...,aiの部分和でjを作れるか)
    ldp[0] = 1
    S = [0] * (K + 1)
    ans = 0
    for i in range(1, N + 1):
        # ここで一つ一つチェックしている！！
        # A[i]が不要かチェック
        for j in range(K):
            S[j + 1] = S[j]
            # print(N - i, rdp_shift[j])
            if rdp_shift[j] <= N - i:
                S[j + 1] += 1
        no_need = True
        for lval in range(K):
            if ldp[lval] == 0:
                continue
            # print(K - A[i] - lval)
            rval = S[K - lval] - S[max(0, K - A[i] - lval)]
            # print(S, K - lval, K - A[i] - lval, rval)
            if rval > 0:
                no_need = False
                break
        if no_need:
            ans += 1

        # ldp[i][:]の計算
        ldp2 = [0] * K
        for j in range(K):
            if ldp[j] == 1 or (j >= A[i] and ldp[j - A[i]] == 1):
                ldp2[j] = 1
        ldp = ldp2
    print(ans)
    # print(S)


if __name__ == "__main__":
    main()
N, nums = int(input()), list(map(int, input().split()))
total, ano = sum(nums), 0
for i in range(len(nums)-1):
    total -= nums[i]
    ano += nums[i]    
    if abs(ano-total) < last_dif or i == 0:
        dif = abs(ano-total)
        last_dif = dif
print(dif)

### FIXED CODE ###

N = int(input())
nums = list(map(int, input().split()))
total, ano = sum(nums), 0
last_dif = 100000000000000
for i in range(len(nums)-1):
    total -= nums[i]
    ano += nums[i]    
    if abs(ano-total) < last_dif:
        dif = abs(ano-total)
        last_dif = dif
print(dif)
s = input()
n = len(s)
k = int(input())
l = set()
for t in range(1,k+1):
  for i in range(n):
    if i+t>=n:
      break
    l.add(s[i:i+t])
a = list(l)
a.sort()
print(a[k-1])

### FIXED CODE ###

s = input()
n = len(s)
k = int(input())
l = set()
for t in range(1,k+1):
  for i in range(max(n-t+1,0)):
    l.add(s[i:i+t])
a = list(l)
a.sort()
print(a[k-1])
N,M = list(map(int,input().split()))
moto = list()
for i in range (M):
  moto.append(input())
 
monme = list()
seigo = list()
i = 0
while i < M:
  a = list(moto[i].split())
  monme.append(int(a[0]))
  seigo.append(a[1])
  i += 1
  
monme2 = list()
seigo2 = list()
j = 1
 
while j <= N:
  k = 0
  while k < M:
    if monme[k] == j:
      monme2.append(monme[k])
      seigo2.append(seigo[k])
    k += 1
  j += 1
 
seitou = 0
pena = 0
c = 1
while c <= N:
  d = 0
  karinopena = 0
  while d < M:
    if monme2[d] == c:
      if seigo2[d] == 'WA':
        karinopena += 1
      else:
        seitou += 1
        pena += karinopena
        d = M
    d += 1
  c += 1
print(seitou,pena)

### FIXED CODE ###

print(chr(ord(input())+1))
import sys
import os
import math
import bisect

ii = lambda: int(sys.stdin.buffer.readline().rstrip())
il = lambda: list(map(int, sys.stdin.buffer.readline().split()))
fl = lambda: list(map(float, sys.stdin.buffer.readline().split()))
iln = lambda n: [int(sys.stdin.buffer.readline().rstrip()) for _ in range(n)]

iss = lambda: sys.stdin.buffer.readline().decode().rstrip()
sl = lambda: list(map(str, sys.stdin.buffer.readline().decode().split()))
isn = lambda n: [sys.stdin.buffer.readline().decode().rstrip() for _ in range(n)]

lcm = lambda x, y: x * y / math.gcd(x, y)

MOD = 10 ** 9 + 7
MAX = float('inf')


def main():
    if os.getenv("LOCAL"):
        sys.stdin = open("input.txt", "r")

    N = ii()
    A = sorted(il())
    B = sorted(il())
    C = sorted(il())

    ret = 0
    for n in range(N):
        a = A[n]
        bc = bisect.bisect_left(B, a)
        if len(B) == bc: continue
        if a == B[bc]: bc += 1
        for b in B[bc:]:
            cc = bisect.bisect_left(C, b)
            if b == C[cc]: cc += 1
            ret += len(C) - cc

    print(ret)


if __name__ == '__main__':
    main()


### FIXED CODE ###

import sys
import os
import math
import bisect

ii = lambda: int(sys.stdin.buffer.readline().rstrip())
il = lambda: list(map(int, sys.stdin.buffer.readline().split()))
fl = lambda: list(map(float, sys.stdin.buffer.readline().split()))
iln = lambda n: [int(sys.stdin.buffer.readline().rstrip()) for _ in range(n)]

iss = lambda: sys.stdin.buffer.readline().decode().rstrip()
sl = lambda: list(map(str, sys.stdin.buffer.readline().decode().split()))
isn = lambda n: [sys.stdin.buffer.readline().decode().rstrip() for _ in range(n)]

lcm = lambda x, y: x * y / math.gcd(x, y)

MOD = 10 ** 9 + 7
MAX = float('inf')


def main():
    if os.getenv("LOCAL"):
        sys.stdin = open("input.txt", "r")

    N = ii()
    A = sorted(il())
    B = sorted(il())
    C = sorted(il())

    ret = 0
    for b in B:
        al = bisect.bisect_right(A, b-1)
        cl = len(C) - bisect.bisect_left(C, b+1)
        ret += al*cl
    print(ret)


if __name__ == '__main__':
    main()
import numpy as np

n = int(input())
a = list(map(int,input().split()))
lcm = np.lcm.reduce(a)
d = [0]*n

for i in range(n):
    d[i] = lcm//a[i]

print(lcm/sum(d))

### FIXED CODE ###

import fractions
from functools import reduce

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

def lcm_list(numbers):
    return reduce(lcm_base, numbers, 1)

n = int(input())
a = list(map(int,input().split()))
lcm = lcm_list(a)
d = [0]*n

for i in range(n):
    d[i] = lcm//a[i]

print(lcm/sum(d))
R = int(input())
if R < 1200:
  print("ABC")
elif R < 2800:
  print("ARC")
else
  print("AGC")

### FIXED CODE ###

R = int(input())
if R < 1200:
  print("ABC")
elif R < 2800:
  print("ARC")
else:
  print("AGC")
n,m = set(map(int, input().split()))
a = set(map(int,input().split()))
d = sum(a)/(4*m)
count = 0
for x in a:
    if float(x) >= d:
        count += 1
if m <= count:
    print("Yes")
else:
    print("No")

### FIXED CODE ###

n, m = map(int, input().split())
a = list(map(int, input().split()))
count = 0
for x in a:
    if x >= sum(a) / (4 * m):
        count += 1
if m <= count:
    print("Yes")
else:
    print("No")
n,m = map(int, input().split())
x = list(map(int, input().split()))
x.sort()

dis=[]
res=0
if n>m: ans=0
else:
    for i in range(len(x)-1):
        dis[i] = x[i+1] - x[i]

    y.sort()

    for j in range(n-1):
        res += y[j]

    return sum(y) - res

### FIXED CODE ###

n, m = map(int, input().split())
x = list(map(int, input().split()))
x.sort()
d = [x[i] - x[i-1] for i in range(1, m)]
d.sort()
print(sum(d[:m-n]) if m >= n else 0)
n=int(input())
ans=10**18
for i in range(10**6+1):
  if n%i==0:
    j=n//i
  ans=min(ans,i+j-2)
print(ans)

### FIXED CODE ###

n=int(input())
ans=10**18
for i in range(1,10**6+1):
  if n%i==0:
    j=n//i
  ans=min(ans,i+j-2)
print(ans)
str = input()
max = 0
for chr in str:
  if chr == 'A' or chr == 'C' or chr == 'G' or chr == 'T':
    count += 1
   	if count > max:
      max = count
  else:
  	count = 0
print({}.format(max))

### FIXED CODE ###

str = input()
max = 0
count = 0
for chr in str:
    if chr == 'A' or chr == 'C' or chr == 'G' or chr == 'T':
        count += 1
        if count > max:
            max = count
    else:
        count = 0
print('{}'.format(max))
a.sort()
count = 0
temp = a[0]
tempcount = 1
for i in range(1,n):
    if a[i]==temp:
        tempcount += 1
    else:
        if not tempcount%2 == 0:
            count += 1
        tempcount = 1
    temp = a[i]
    #print(i,tempcount)
if tempcount%2 == 1:
    count += 1
print(count)

### FIXED CODE ###

n = int(input())
a = [int(input()) for _ in range(n)]

a.sort()
count = 0
temp = a[0]
tempcount = 1
for i in range(1,n):
    if a[i]==temp:
        tempcount += 1
    else:
        if not tempcount%2 == 0:
            count += 1
        tempcount = 1
    temp = a[i]
    #print(i,tempcount)
if tempcount%2 == 1:
    count += 1
print(count)
N = int(input())
A = input().split()
B = [0]*N

for i in range(N):
  A[i] = int(A[i])
  B[i] = A[i]*A[i]

print( ( ( (sum(A)*sum(A)) - sum(B) ) // 2 ) % ( 10**9 + 7 ) // 2 )


### FIXED CODE ###

D, T, S = map(int,input().split())
if (D <= (T*S)):
  print("Yes")
else:
  print("No")
N=int(input())
T,A=map(int,input().split())
H=list(map(int,input().split()))
li=[]
for h in H:
    li.append(abs(A-(T-0.006*h)))
print(li.index(min(li))+1)


### FIXED CODE ###

x,y=map(int,input().split())
print(x+y//2)
N=int(input())
l=[]

if N%2==0:
  for i in range(0,N+1,2):
    n=len(str(i))
    if n%2==1:
      l.append(n)
print(len(l))

Else:
  for j in range(1,N+1,2):
    n=len(str(i))
    if n%2==1:
      l.append(n)
print(len(l))
  
  

  

### FIXED CODE ###

N=int(input())
cnt=0

for i in range(1,N+1):
    if len(str(i))%2==1:
        cnt+=1
print(cnt)
S = int(input())
lenS = len(str(S))

ans = 0
for i in range(lenS):
    if i+3 <= lenS:
        for j in range(i+3, lenS):
#            print(i,j)
            if int(str(S)[i:j+1])%2019 == 0:
#                print(int(str(S)[i:j]), i, j)
                ans += 1
print(ans)

### FIXED CODE ###

S, W = map(int, input().split())
if W >= S:
    print('unsafe')
else:
    print('safe')
from math import gcd
a, b = [int(i) for i in input().split(' ')]
gcd = gcd(a, b)

def factorization(n):
    arr = []
    temp = n
    for i in range(2, int(-(-n**0.5//1))+1):
        if temp%i==0:
            cnt=0
            while temp%i==0:
                cnt+=1
                temp //= i
            arr.append([i, cnt])

    if temp!=1:
        arr.append([temp, 1])

    if arr==[]:
        arr.append([n, 1])

    return arr

if gcd == 1:
    print(1)
else:
    print(len(factorization(gcd)) + 1)


### FIXED CODE ###

from fractions import gcd
a, b = [int(i) for i in input().split(' ')]
gcd = gcd(a, b)

def factorization(n):
    arr = []
    temp = n
    for i in range(2, int(-(-n**0.5//1))+1):
        if temp%i==0:
            cnt=0
            while temp%i==0:
                cnt+=1
                temp //= i
            arr.append([i, cnt])

    if temp!=1:
        arr.append([temp, 1])

    if arr==[]:
        arr.append([n, 1])

    return arr

if gcd == 1:
    print(1)
else:
    print(len(factorization(gcd)) + 1)
n = input()
l = list(map(int, input().split()))
l1 = l[1:]+[0]
d = [i-j for (i,j) in zip(l1, l)][:-1] ##dは差分のリスト
t = [i for i in d if i <= -2]
if len(t) >= 1:
    print("No")
else:
    s = ''.join(map(str, d)) ## dを文字列にする
    spl = s.split("-1") ##-1でdを区切る
    if "" not in spl:
        print("Yes")
    else:
        if spl[-1] == "" and spl[-2] != "" and spl[-2] != "0" and "" not in spl[:-1]:
            print("Yes")
        else:
            if "" in spl:
                print("No")
            else:
                y = [int(i) for i in spl]
                if 0 in y:
                    print("No")
                else:
                    print("Yes")

### FIXED CODE ###

n = int(input())
l = list(map(int, input().split()))
if n == 1:
    print("Yes")
else:
    l1 = l[1:]+[0]
    d = [i-j for (i,j) in zip(l1, l)][:-1]
    t = [i for i in d if i <= -2]
    if len(t) >= 1:
        print("No")
    else:
        if -1 not in d or d.count(-1)==1:
            print("Yes")
        else:
            p = d.index(-1)
            d = d[p+1:]
            s = ''.join(map(str, d))
            spl = s.split("-1") 
            if "" in spl[:-1]:
                print("No")
            else:
                if spl[-1] == "":
                    spl = [s for s in spl if s != '']
                    y = [int(i) for i in spl]
                    if 0 not in y:
                        print("Yes")
                    else:
                        print("No")
                else:
                    y = [int(i) for i in spl]
                    if 0 in y[:-1]:
                        print("No")
                    else:
                        print("Yes")
input()
n=sorted(list(map(int,input().split())))
print(n［-1］- n［0］)

### FIXED CODE ###

input()
n = sorted([int(i) for i in input().split()])
print(n[-1] - n[0])
n,m = map(int,input().split())
a = [list(input())for i in range(n)]
for y in range(n-m+1):
        #print(y)
    for z in range(n-m+1):
        count = 0
        for p in range(m):
            if b[p] == a[y+p][z:(z+m)]:
                count += 1
                    #print("if")
                    #print(count)
                if count == m:
                    print("Yes")
                    exit()
            else:
                count = 0
                    #print("else")
                    #print(count)
else:
    print("No")


### FIXED CODE ###

n,m = map(int,input().split())
a = [list(input())for i in range(n)]
b = [list(input())for i in range(m)]
for y in range(n-m+1):
    for z in range(n-m+1):
        count = 0
        for p in range(m):
            if b[p] == a[y+p][z:(z+m)]:
                count += 1
                if count == m:
                    print("Yes")
                    exit()
            else:
                count = 0
print("No")
def reversed_num(num):
  num_len=len(bin(num))-2
  f=2**num_len-1
  return num^f
n=int(input())
number=list(map(int,input().split()))
number.sort()
number.reversed()
goal=[]
for i in number:
  if i != reversed_num(i)+1:
    goal.append(reversed_num(i)+1)
    number.remove(reversed_num(i)+1)
print(len(set(number)&set(goal)))

### FIXED CODE ###

import bisect
def reversed_num(num):
  num_len=len(bin(num))-2
  f=2**num_len-1
  return num^f
n=int(input())
number=list(map(int,input().split()))
number.sort()
count=0
while len(number)>0:
  k=number.pop()
  if len(number)==0:
    break
  if k==int(k):
    x=reversed_num(k)+1
    y=bisect.bisect_left(number,x)
    if x>number[-1]:
      y-=1
    if number[y] ==x:
      number[y]-=0.5
      count+=1
print(count)