Harryxun/stf_run huggingface dataset:
swithCount, lightCount = map(int, input().split())
swithList = [0] * lightCount

for i in range(swithCount):
    connectedLightList = list(map(int, input().split()))
    for lightIndex in range(connectedLightList[1:]):
        lightIndex -= 1
        swithList[i] = swithList[i] | 1 << lightIndex

expectedLightStatusList = list(map(int, input().split()))
expectedLightStatus = 0

for i, eachStatus in enumerate(expectedLightStatusList):
    expectedLightStatus = expectedLightStatus | eachStatus << i

resultCount = 0
for eachSwitchSet in range(1 << swithCount):
    actuallyLightStatus = 0
    for switchIndex in range(swithCount):
        if eachSwitchSet >> switchIndex & 1:
            actuallyLightStatus = actuallyLightStatus ^ swithList[switchIndex]

    if expectedLightStatus == actuallyLightStatus:
        resultCount += 1

print(resultCount)

### FIXED CODE ###

swithCount, lightCount = map(int, input().split())
swithList = [0] * swithCount

for lightIndex in range(lightCount):
    connectedSwitchList = list(map(int, input().split()))
    for si in connectedSwitchList[1:]:
        switchIndex =  si - 1
        swithList[switchIndex] = swithList[switchIndex] | 1 << lightIndex

expectedLightStatusList = list(map(int, input().split()))
expectedLightStatus = 0

for i, eachStatus in enumerate(expectedLightStatusList):
    expectedLightStatus = expectedLightStatus | eachStatus << i

resultCount = 0
for eachSwitchSet in range(1 << swithCount):
    actuallyLightStatus = 0
    for switchIndex in range(swithCount):
        if eachSwitchSet >> switchIndex & 1:
            actuallyLightStatus = actuallyLightStatus ^ swithList[switchIndex]

    if expectedLightStatus == actuallyLightStatus:
        resultCount += 1

print(resultCount)
n = input()

if n[2] == 'f' and n[3] == 'f' and n[4] == 'e' and n[5] = 'e':
	print("Yes")
else:
	print("No")

### FIXED CODE ###

n = input()

if n[2] == n[3]  and n[4] == n[5] :
	print("Yes")
else:
	print("No")
a, b = map(int, input().split())
 
if A+B>=24:
    print(A+B-24)
else:
    print(A+B)


### FIXED CODE ###

A, B = map(int, input().split())
 
if A+B>=24:
    print(A+B-24)
else:
    print(A+B)
from scipy.sparse.csgraph import csgraph_from_dense, dijkstra

n,m = map(int,input().split())
A = [0]*n
B = [0]*n
C = [0]*n
for i in range(m) :
    a, b, c = map(int,input().split())
    A[i] = a-1
    B[i] = b-1
    C[i] = c

graph = [[0]*n for i in range(n)]

for i in range(m) :
    graph[A[i]][B[i]] = C[i]
    graph[B[i]][A[i]] = C[i]

graph = csgraph_from_dense(graph)
dist = dijkstra(graph)

ans = 0
for i in range(m) :
    if dist[A[i]][B[i]] != C[i] :
        ans += 1

print(ans)


### FIXED CODE ###

from scipy.sparse.csgraph import csgraph_from_dense, dijkstra

n,m = map(int,input().split())
edges = [[int(x) for x in input().split()] for i in range(m)]
graph = [[False]*n for i in range(n)]
for a, b, c in edges :
    graph[a-1][b-1] = c

graph = csgraph_from_dense(graph)
dist = dijkstra(graph, directed=False).astype(int)

ans = 0
for a, b, c in edges :
    if dist[a-1][b-1] != c :
        ans += 1

print(ans)
def main():
 
    n, m = map(int, input().split())
    mat = [[0]*n for i in range(n)]
    l = [list(map(int, input().split())) for _ in range(m)]

    for i in range(n):
        mat[l[i][0]-1][l[i][1]-1] = 1
        mat[l[i][1]-1][l[i][0]-1] = 1

    
    ver = [i for i in range(n)]

    cnt = 0

    def dfc(now, moved):
        
        nonlocal cnt

        moved.sort()
        if moved == ver:
            cnt += 1
        
        for i in range(n):
            if (mat[now][i] == 0) or (i in moved):
                continue
            
            dfc(i, moved + [i])

    dfc(0, [0])
    print(cnt)
    
if __name__ == "__main__":
    main()
def main():

    n, m = map(int, input().split())
    tree = [[]*n for i in range(n)]
    l = [list(map(int, input().split())) for _ in range(m)]
    
    for i in l:
        tree[i[0]-1].append(i[1]-1)
        tree[i[1]-1].append(i[0]-1)

    ver = [i for i in range(n)]

    cnt = 0

    def dfc(now, moved):
        
        nonlocal cnt
     
        moved.sort()
        if moved == ver:
            cnt += 1

        for i in tree[now]:
            if i in moved:
                continue
            dfc(i, moved + [i])

    dfc(0, [0])
    print(cnt)
    
if __name__ == "__main__":
    main()

### FIXED CODE ###

def main():

    n, m = map(int, input().split())
    tree = [[]*n for i in range(n)]
    l = [list(map(int, input().split())) for _ in range(m)]
    
    for i in l:
        tree[i[0]-1].append(i[1]-1)
        tree[i[1]-1].append(i[0]-1)

    ver = [i for i in range(n)]

    cnt = 0

    def dfc(now, moved):
        
        nonlocal cnt
     
        moved.sort()
        if moved == ver:
            cnt += 1

        for i in tree[now]:
            if i in moved:
                continue
            dfc(i, moved + [i])

    dfc(0, [0])
    print(cnt)
    
if __name__ == "__main__":
    main()
a,b,c=input().split()
if("YES" if a[len(a)-1]==b[0] and b[len(b)-1]==c[0] else "NO")


### FIXED CODE ###

a=input().split()
print("YES" if a[0][len(a[0])-1]==a[1][0] and a[1][len(a[1])-1]==a[2][0] else "NO")
N, K = map(int, input().split())

A_list = [int(a) for a in input().split()]

# print(N, K)
# print(A_list)

keiro = [1]
visit_town = [0]*N

town = 1
c = 1
while True:
    visit_town[town - 1] = c
    c += 1
    town = A_list[town - 1]
    # print('town', town)

    if len(keiro) > 1 and visit_town[town-1] != 0:
        break
    keiro.append(town)

# print(keiro)
# print(visit_town)
# print(town)


first_visit = keiro[:visit_town[A_list[keiro[-1]-1]-1]-1]
loop_visit = keiro[visit_town[A_list[keiro[-1]-1]-1]-1:]

print(first_visit)
print(loop_visit)

if K <= len(first_visit):
    print(first_visit[k - 1])
else:
    l = K - len(first_visit)
    # print(l)
    c = (l-1) % len(loop_visit)
    # print(c)
    print(loop_visit[c-1])

# print(keiro[len(first_visit) + (K - len(first_visit)) % len(loop_visit)])


### FIXED CODE ###

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

A_list = [int(a) for a in input().split()]

# print(N, K)
# print(A_list)

keiro = [1]
visit_town = [0]*N

town = 1
c = 1
while True:
    visit_town[town - 1] = c
    c += 1
    town = A_list[town - 1]
    # print('town', town)

    if len(keiro) > 1 and visit_town[town-1] != 0:
        break
    keiro.append(town)

# print(keiro)
# print(visit_town)
# print(town)


first_visit = keiro[:visit_town[A_list[keiro[-1]-1]-1]-1]
loop_visit = keiro[visit_town[A_list[keiro[-1]-1]-1]-1:]

# print(first_visit)
# print(loop_visit)

if K <= len(first_visit)-1:
    print(first_visit[K])
else:
    l = K - len(first_visit)
    # print(l)
    c = (l) % len(loop_visit)
    # print(c)
    print(loop_visit[c])

# print(keiro[len(first_visit) + (K - len(first_visit)) % len(loop_visit)])
N = int(input())
S,T = input().split()
S = list(S)
T = list(T)
ans = []
for s,t in S,T:
  ans.append(s)
  ans.append(t)
print(''.join(ans))

### FIXED CODE ###

N = int(input())
S,T = input().split()
S = list(S)
T = list(T)
ans = []
for s,t in zip(S,T):
  ans.append(s)
  ans.append(t)
print(''.join(ans))
import numpy as np
a, b = [], []
for i in range(3):
  a[i], b[i] = np.array(input()split())


### FIXED CODE ###

import numpy as np
ans = 'YES'
a = np.array([])
for i in range(3):
    b, c = input().split()
    a = np.append(a, [b, c])
a = a.astype(np.int32)
for i in range(4):
    count = np.sum(a == i + 1)
    if count > 2:
        ans = 'NO'
        break
print(ans)
def f(n):
  if n==0:
    return 0
  c=0
  while n>0:
    n%=format(n, 'b').count('1')
    c+=1
  return c

N=int(input())
X=input()
nums=[f(i) for i in range(N+1)]

a=0
b=0
for i in range(N):
  if X[i]=='0':
    a+=1
  else:
    b+=1

s=0
t=0
for i in range(N):
  s=(s+int(X[i])*pow(2, N-1-i, b+1))%(b+1)
  t=(t+int(X[i])*pow(2, N-1-i, b-1))%(b-1)

for i in range(N):
  if X[i]=='0':
    tmp=(s+pow(2, N-1-i, b+1))%(b+1)
    print(nums[tmp]+1)
  else:
    tmp=(t-pow(2, N-1-i, b-1))%(b-1)
    print(nums[tmp]+1)

### FIXED CODE ###

def f(n):
  c=0
  while n>0:
    n%=format(n, 'b').count('1')
    c+=1
  return c

N=int(input())
X=input()
nums=[0]+[f(i) for i in range(1, N+1)]

a=0
b=0
for i in range(N):
  if X[i]=='0':
    a+=1
  else:
    b+=1

s=0
t=0
if b>1:
  for i in range(N):
    s=(s+int(X[i])*pow(2, N-1-i, b+1))%(b+1)
    t=(t+int(X[i])*pow(2, N-1-i, b-1))%(b-1)
else:
  for i in range(N):
    s=(s+int(X[i])*pow(2, N-1-i, b+1))%(b+1)
    
if b==1:
  for i in range(N):
    if X[i]=='0':
      tmp=(s+pow(2, N-1-i, b+1))%(b+1)
      print(nums[tmp]+1)
    else:
      print(0)
  exit()

for i in range(N):
  if X[i]=='0':
    tmp=(s+pow(2, N-1-i, b+1))%(b+1)
    print(nums[tmp]+1)
  else:
    tmp=(t-pow(2, N-1-i, b-1))%(b-1)
    print(nums[tmp]+1)
N,M = map(int,input().split())
a = [tuple(map(int, input().split())) for _ in range(N-1)]
b = [list(map(int, input().split())) for _ in range(M)]
ans=[0]*N
results = {}
for word in a:
    results.setdefault(word[0], []).append(word[1])

for i in b:
    ans[i[0]-1] += i[1]

def sumup(ne):
    global ans
    if ne in results:    
        for k in results[ne]:
            ans[k-1] += ans[ne-1]
            sumup(k)

sumup(1)
for i in ans:
    print(i)


### FIXED CODE ###

import sys
sys.setrecursionlimit(500000) 
input=sys.stdin.readline

N,M = map(int,input().split())
ans=[0]*N
a = [list(map(int, input().split())) for _ in range(N-1)]

for _ in range(M):
    e,f = list(map(int, input().split()))
    ans[e-1] += f

trees = {}
for word in a:
    trees.setdefault(word[0], []).append(word[1])
    trees.setdefault(word[1], []).append(word[0])
    

def sumup(ne,parent):
    global ans
    if ne in trees:    
        for k in trees[ne]:
            if k != parent:
                ans[k-1] += ans[ne-1]
                sumup(k,ne)

sumup(1,0)
for i in ans:
    print(i)
n= int(input())
spot = input().split()
ans = []
for i in spot:
    spot.append(int(spot[0]))
    del spot[0]
if n == 1:
    print(0)
else:
    for s in range(min(spot),max(spot)):
        x = 0
        for t in spot:
            x += (s-t)**2
    ans.append(x)
if n != 1:
    print(min(ans))

### FIXED CODE ###

n= int(input())
spot = input().split()
ans = []
for i in spot:
    spot.append(int(spot[0]))
    del spot[0]
if n == 1:
    print(0)
else:
    if max(spot)==min(spot):
        ans.append(0)
    for s in range(min(spot),max(spot)):
        x = 0
        for t in spot:
            x += (s-t)**2
        ans.append(x)
if n != 1:
    ans.sort(reverse=False)
    print(ans[0])
a,b,c,d,e,k= map(int, input().split())

A-B = b-a
A-C = c-a
A-D = d-a
A-E = e-a
B-C = c-b
B-D = d-b
B-E = e-b
C-D = d-c
C-E = e-c
D-E = e-d

if A-B or A-C or A-D or A-E or B-C or B-E or C-D or C-E or D-E > k :
    print(":(")
else:
    print("Yay!")

### FIXED CODE ###

a = int(input())
b = int(input())
c = int(input())
d = int(input())
e = int(input())
k = int(input())



if e-a > k:
    print(":(")
else:
    print("Yay!")
vs = set()
def dfs_w(d, stack):
    depthh = [-1] + [0]*N
    pvs = set()
    if stack[0] in vs:
        return True
    while stack:
        v, dpd = stack.pop()
        vs.add(v)
        pvs.add(v)

        for u, dpd in d[v]:
            if u in pvs:
                if depthh[u] != depthh[v] + dpd:
                    return False
            if u in vs:
                continue
            depth[u] = depth[v] + dpd
            stack += [(u, dpd)]

    return True
#    return S, F, depth, depthh

if __name__ == '__main__':
    N, M = map(int, input().split())
    G = [set() for _ in range(N+1)]
    for _ in range(M):
        a, b, c = map(int, input().split())
        G[a].add((b,c))
        G[b].add((a,-c))
    for i in range(N):
        if i in vs:
            continue
        stack = [(i+1, 0)] 
        r =  dfs_w(G, stack)
        if not r:
            break
    if r:
        print("Yes")
    else:
        print("No")


### FIXED CODE ###

import sys
input = sys.stdin.readline
vs = set()
def dfs_w(d, stack):
    depth = defaultdict(int)
    pvs = set()
    while stack:
        v = stack.pop()
        vs.add(v)
        pvs.add(v)
        for u, dpd in d[v]:
            if u in pvs:
                if depth[u] != depth[v] + dpd:
                    return False
            if u in vs:
                continue
            depth[u] = depth[v] + dpd
            stack.append(u)
    return True

if __name__ == '__main__':
    from collections import defaultdict
    N, M = map(int, input().split())
    G = defaultdict(set)
    for _ in range(M):
        a, b, c = map(int, input().split())
        G[a].add((b,c))
        G[b].add((a,-c))
    for i in range(N):
        if i+1 in vs:
            continue
        stack = [i+1] 
        r =  dfs_w(G, stack)
        if not r:
            break
    if r:
        print("Yes")
    else:
        print("No")
#coding:utf-8

AB = raw_input().split()
A = int(AB[0])
B = int(AB[1])

if A+B > 24:
    print (A+B)%24
elif A+B = 24:
    print 0
else:
    print A+B


### FIXED CODE ###

#coding:utf-8

AB = raw_input().split()
A = int(AB[0])
B = int(AB[1])

if A+B > 24:
    print (A+B)%24
elif A+B == 24:
    print 0
else:
    print A+B
a,b = map(int, input())

if (a*b)%2:
  print('Odd')
else:
  print('Even')

### FIXED CODE ###

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

if (a*b)%2:
    print('Odd')
else:
    print('Even')
import sys
def input(): return sys.stdin.readline().strip()
def mapint(): return map(int, input().split())
sys.setrecursionlimit(10**9)

H, W, K = mapint()
cake = [list(str(input())) for _ in range(H)]
ans = [[0]*W for _ in range(H)]
cnt = 0
unchecked_row = [0]*H
for h in range(H):
    row = cake[h]
    if '#' in row:
        cnt += 1
        first = 1
        for i, r in enumerate(row):
            if r=='.':
                ans[h][i] = str(cnt)
            else:
                if first:
                    first=0
                    ans[h][i] = str(cnt)
                    continue
                cnt += 1
                ans[h][i] = str(cnt)
    else:
        unchecked_row[h] = 1
for i, unchecked in enumerate(unchecked_row):
    if unchecked:
        for j in range(1, H):
            if i-j>=0 and not unchecked_row[i-j]:
                ans[i] = ans[i-j][:]
                break
            elif i+j<=H and not unchecked_row[i+j]:
                ans[i] = ans[i+j][:]
                break
for h in range(H):
    print(' '.join(ans[h]))

### FIXED CODE ###

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

H, W, K = mapint()
cake = [list(str(input())) for _ in range(H)]
ans = [['0']*W for _ in range(H)]
cnt = 0
unchecked_row = [0]*H
for h in range(H):
    row = cake[h]
    if '#' in row:
        cnt += 1
        first = 1
        for i, r in enumerate(row):
            if r=='.':
                ans[h][i] = str(cnt)
            else:
                if first:
                    first=0
                    ans[h][i] = str(cnt)
                    continue
                cnt += 1
                ans[h][i] = str(cnt)
    else:
        unchecked_row[h] = 1
for i, unchecked in enumerate(unchecked_row):
    if unchecked:
        for j in range(1, H):
            if i-j>=0 and not unchecked_row[i-j]:
                ans[i] = ans[i-j][:]
                unchecked_row[i] = 0
                break
            elif i+j<=H and not unchecked_row[i+j]:
                ans[i] = ans[i+j][:]
                unchecked_row[i] = 0
                break
for h in range(H):
    print(' '.join(ans[h]))
import sys
read = sys.stdin.read
readlines = sys.stdin.readlines
from math import gcd
def main():
    n, m = map(int, input().split())
    s = list(input())
    t = list(input())

    if s[0] != t[0]:
        print(-1)
        sys.exit()
    if n == m:
        if s == t:
            print(n)
        else:
            print(-1)
        sys.exit()
    if n > m:
        l1 = n
        l2 = m
        s1 = s
        s2 = t
    else:
        l1 = m
        l2 = n
        s1 = t
        s2 = s
    if n % m == 0 or m % n == 0:
        ld = l1 // l2
        for i1 in range(1, l2):
            if s2[i1] != s1[i1*ld]:
                print(-1)
                sys.exit()
        print(l1)
    else:
        l = (n * m) // gcd(n, m)
        x = [0] * l
        ld1 = l // l1
        ld2 = l // l2
        for j1 in range(1, l1):
            x[j1 * ld1] = s1[j1]
        for k1 in range(1, l2):
            if x[k1 * ld2]:
                if x[k1 * ld2] != s2[k1]:
                    print(-1)
                    sys.exit()
        print(l)

if __name__ == '__main__':
    main()


### FIXED CODE ###

import sys
read = sys.stdin.read
readlines = sys.stdin.readlines
from math import gcd
def main():
    n, m = map(int, input().split())
    s = tuple(input())
    t = tuple(input())

    if n > m:
        l1 = n
        l2 = m
        s1 = s
        s2 = t
    else:
        l1 = m
        l2 = n
        s1 = t
        s2 = s

    if s[0] != t[0]:
        r = -1
    elif n == m:
        if s == t:
            r = n
        else:
            r = -1
    elif n % m == 0 or m % n == 0:
        ld = l1 // l2
        for i1 in range(1, l2):
            if s2[i1] != s1[i1*ld]:
                r = -1
                break
        else:
            r = l1
    else:
        l = (n * m) // gcd(n, m)
        # x = [0] * l
        ld1 = l // l1
        ld2 = l // l2
        cnt = 1
        r = l
        while cnt < l1:
            cnt2 = cnt * ld1
            if cnt2 % ld2 == 0:
                if s1[cnt] != s2[cnt2 // ld2]:
                    r = -1
                    break
            cnt += 1
    print(r)

if __name__ == '__main__':
    main()
#include <bits/stdc++.h>
using namespace std;
string s;
int main() {
    cin >> s;
    cout << s[0] << s.size() - 2 << s[s.size() - 1] << endl;
    return 0;
}

### FIXED CODE ###

s=input()
print('%c%d%c'%(s[0],len(s)-2,s[len(s)-1]))
def kai(s):
  n = len(s)
  for i in range(n):
    if s[i]!=s[n-i-1]:
      return False
  else:
    return True
  
s = input()
n = len(s)
if kai(s) and kai(s[:(n-1)//2]) and kai(s[(n+3)//2]):
  print('Yes')
else:
  print('No')

### FIXED CODE ###

def kai(s):
  n = len(s)
  for i in range(n):
    if s[i]!=s[n-i-1]:
      return False
  else:
    return True
  
s = input()
n = len(s)
if kai(s) and kai(s[:(n-1)//2]) and kai(s[(n+1)//2]):
  print('Yes')
else:
  print('No')
a = int(input())
b, c = map(int, input().split())
s = input()

print("{} {}".format( a + b + c, s))

### FIXED CODE ###

def main(n, m):
    if n == m:
        print('Yes')
    else:
        print('No')


if __name__ == '__main__':
    n, m = input().split()
    main(n, m)
# スペース区切りの整数入力
N,M = map(int, input().split())
#指定数分の３つの整数を順番に受けてリストに入力
move = {}
for i in range(M):
    x,y = map(int, input().split())
    move.setdefault(x,[]).append(y)

dp = [-1] * (N+10)

def findpath(now_x):
    if dp[now_x] > -1:
        return dp[now_x]
    maxpath = 0
    if now_x in move.keys():
        for y in move[now_x]:
            maxpath = max(maxpath,findpath(y) + 1)
    dp[now_x] = maxpath
    return maxpath

Ans = 0
for do_x in range(1,N+1):
    Ans = max(Ans,findpath(do_x))

print(Ans)


### FIXED CODE ###

import sys
sys.setrecursionlimit(10**5)

# スペース区切りの整数入力
N,M = map(int, input().split())
#指定数分の３つの整数を順番に受けてリストに入力
move = {}
for i in range(M):
    x,y = map(int, input().split())
    move.setdefault(x,[]).append(y)

dp = [-1] * (N+10)

def findpath(now_x):
    if dp[now_x] > -1:
        return dp[now_x]
    maxpath = 0
    if now_x in move.keys():
        for y in move[now_x]:
            maxpath = max(maxpath,findpath(y) + 1)
    dp[now_x] = maxpath
    return maxpath

Ans = 0
for do_x in range(1,N+1):
    Ans = max(Ans,findpath(do_x))

print(Ans)
import sys
sys.setrecursionlimit(1000000)

n, k = map(int, input().split())
edges = []
for _ in range(n-1):
  edges.append(list(map(int, input().split())))

mod = 10**9+7
edge_dict = {}
for i in range(1, n+1):
  edge_dict[i] = set()

for edge in edges:
  edge_dict[edge[0]].add(edge[1])
  edge_dict[edge[1]].add(edge[0])

visited = set()

def visit(node, parent):
  for child in edge_dict[node]:
    if not child is parent:
      visit(child, node)

print(visit(1, None))

### FIXED CODE ###

import queue

n, k = map(int, input().split())
edges = []
for _ in range(n-1):
  edges.append(list(map(int, input().split())))
mod = 10**9+7

edge_dict = {}
for i in range(1, n+1):
  edge_dict[i] = set()

for edge in edges:
  edge_dict[edge[0]].add(edge[1])
  edge_dict[edge[1]].add(edge[0])

visited = set()
q = queue.LifoQueue()
q.put(1)

num_cases = 1
while not q.empty():
  node = q.get()
  
  visited.add(node)
  num_available_colors = k -2 if node is not 1 else k -1
  
  for child in (edge_dict[node] - visited):
    num_cases *= num_available_colors
    num_available_colors -= 1
    num_cases %= mod
    q.put(child)

print((k*num_cases)%mod)
n=int(input())
if n[0]==7 or n[1]==7 or n[2]==7:
  print 'Yes'
else:
  print 'No'

### FIXED CODE ###

n=input()
if '7' in n:
  print('Yes')
else:
  print('No')
import sys
n=int(input())
a=list(map(int,input().split()))
x=0
for i in range(n-1):
  if(a[i+1-x]==a[i-x]):
    a.pop(i-x)
    n-=1
    x+=1
    if(n==3):break
if(a[0]==a[1]):
  a.pop(0)
  n-=1
if(n==1):
  print(1)
  sys.exit()
if(n==2):
  print(1)
  sys.exit()
til=a[1]-a[0]
x=0
for i in range(n-1):
  tilt=a[i+1]-a[i]
  if(til*tilt<0):
    x+=1
    if(i+2>=n):
      break
    til=a[i+2]-a[i+1]
print(x+1)

### FIXED CODE ###

import sys
n=int(input())
a=list(map(int,input().split()))
x=0
if(n==1):
  print(1)
  sys.exit()
for i in range(n-1):
  if(a[i+1-x]==a[i-x]):
    a.pop(i-x)
    n-=1
    x+=1
    if(n==3):break
if(a[0]==a[1]):
  a.pop(0)
  n-=1
if(n==2):
  print(1)
  sys.exit()
til=a[1]-a[0]
x=0
for i in range(n-1):
  tilt=a[i+1]-a[i]
  if(til*tilt<0):
    x+=1
    if(i+2>=n):
      break
    til=a[i+2]-a[i+1]
print(x+1)
N,M = map(int,input().split())
 
s = 0
 
for i in range(K,N+2):
  s += i*N +1 - i*(i -1)

print(s%(10**9 +7))

### FIXED CODE ###

N,K = map(int,input().split())
 
s = 0
 
for i in range(K,N+2):
  s += i*N +1 - i*(i -1)

print(s%(10**9 +7))
def counting_sort(A, k):
    B = [0] * len(A)
    C = [0] * k

    for a in A:
        C[a] += 1

    for i in range(1, k):
        C[i] += C[i - 1]

    for a in reversed(A):
        B[C[a] - 1] = a
        C[a] -= 1

    return B


def main():
    n = int(input())
    A = [int(x) for x in input().split()]
    print(*counting_sort(A, 11))


main()


### FIXED CODE ###

def counting_sort(A, k):
    B = [0] * len(A)
    C = [0] * k

    for a in A:
        C[a] += 1

    for i in range(1, k):
        C[i] += C[i - 1]

    for a in A:
        B[C[a] - 1] = a
        C[a] -= 1

    return B


def main():
    n = int(input())
    A = [int(x) for x in input().split()]
    print(*counting_sort(A, 10001))


main()
import math
N, X = map(int, input().split())

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

t = abs(x[0] - X)
for a in x:
    t = math.gcd(t, abs(a - X))
print(t)


### FIXED CODE ###

import fractions

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

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

t = abs(x[0] - X)
for a in x:
    t = fractions.gcd(t, abs(a - X))
print(t)
import sys,os

f = open('a.txt', 'r')
sys.stdin = f

li = list(input().split())

A=int(li[0])
B=int(li[1])
T=int(li[2])

print(B*(T/A))

### FIXED CODE ###

abt = input()
abt = list(map(int, abt.split(" ")))
output = (abt[2] + 0.5 ) //  abt[0] * abt[1]
print(int(output))
n,m = map(int,input().split())
food = [0 for i in range(m+1)]
for i in range(n):
    a = input().split()
    for j in range(0,int(a[0])):
        food[int(a[j])] += 1
count = 0
for i in food:
    if i = n:
        count += 1
print(count)

### FIXED CODE ###

n,m = map(int,input().split())
food = [0 for i in range(m+1)]
for i in range(n):
    a = input().split()
    for j in range(1,int(a[0])+1):
        food[int(a[j])] += 1
count = 0
for i in food:
    if i == n:
        count += 1
print(count)