Harryxun/stf_run huggingface dataset:
x,y=map(int,input().split()
print((x-1)*(y-1))

### FIXED CODE ###

x,y=map(int,input().split())
print((x-1)*(y-1))
a, b, c = map(int, input().split())
if a < b < c:
 
  print "Yes"
elif:
 print "No"

### FIXED CODE ###

a, b, c = map(int, raw_input().split())
if a < b and b < c:
 print "Yes"
else:
 print "No"
a,b=map(int, input().split())

for i in range(a):
     for j in range(b):
          print('#')
     print(/n)


### FIXED CODE ###

while True:
    a,b=map(int,input().split())
    if a==0 and b==0:break
    for i in range (a):
        print('#'*b)
    print()
import sys
import numpy as np
def main():
    input = sys.stdin.readline
    N = int(input())
    ans = (1 + (N - 1)) / 2 * (N - 1)

    if N <= 1e07:
      a = np.arange(start=1, step=1, stop=N+1)
      if N %2 == 1:
        bol = (a % ((N+1)/2) >= a)
        ans += np.sum((a % ((N+1)/2)[bol] - a[bol]))
      else:
        bol = (a % (N/2) >= a)
        ans += np.sum((a % (N/2)[bol] - a[bol]))
    print(int(ans))

if __name__ == '__main__':
    main()


### FIXED CODE ###

import sys
import numpy as np
def main():
    input = sys.stdin.readline
    N = np.int64(input())
    #print(N)
    #ans = np.int64((1 + (N - 1)) / 2 * (N - 1))
    ans = (1 + (N - 1)) * (N - 1) // 2
    print(int(ans))
if __name__ == '__main__':
    main()
a,b = map(int,input().split())
if ord(a) = ord(b):
  print("=")
elif ord(a) > ord(b):
  print(">")
else:
  print("<")

### FIXED CODE ###

a,b = map(str,input().split())
if ord(a) == ord(b):
  print("=")
elif ord(a) > ord(b):
  print(">")
else:
  print("<")
a,b=map(int,input().split())
if a==b:
  print("=")
elif a>b:
  print(">")
else:
  print("<")

### FIXED CODE ###

a,b=map(str,input().split())
if a==b:
  print("=")
elif a>b:
  print(">")
else:
  print("<")
s = input()
ans = 'CODEFESTIVAL2016'
cnt = 0
for i in range(n):
  if s[i] = != ans[i]:
    cnt += 1
print(cnt)


### FIXED CODE ###

s = input()
ans = 'CODEFESTIVAL2016'
cnt = 0
for i in range(len(s)):
  if s[i] != ans[i]:
    cnt += 1
print(cnt)
from math imoprt sqrt
n=int(input())
for i in range(int(sqrt(n)),0,-1):
  if n%i==0:
    print(max(len(str(i)),len(str(n//i))))
    exit()

### FIXED CODE ###

n=int(input())
m=int((n**(1/2))//1+1)
l=[]
for i in list(range(m+1))[:0:-1]:
  if n%i==0:
    l.append(max(len(str(i)),len(str(n//i))))
  if len(l)==3:
    break
print(min(l))
s=[i for i in input()]
l=[]
cnt=0
for i in s:
  if i=="A" or i=="T" or i=="C" or i=="G":
    cnt+=1
  else:
    l.append(cnt)
    cnt=0
print(max(l))    

### FIXED CODE ###

s=[i for i in input()]
l=[]
cnt=0
for i in range(len(s)):
  if s[i]=="A" or s[i]=="T" or s[i]=="C" or s[i]=="G" or s[i]==" ":
    cnt+=1
    if i==len(s)-1:
      l.append(cnt)
  else:
    l.append(cnt)
    cnt=0  
print(max(l) if len(l)>1 else l[0])
from collections import defaultdict, deque

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

children = defaultdict(list)
parents = defaultdict(list)

for _ in range(m):
    u, v = [int(i) for i in input().split()]
    children[u-1].append(v-1)
    parents[v-1].append(u-1)

def longest_path(children, parents, n):
    f = [None] * n
    targets = [x for y in children.values() for x in y]
    starts = [v for v in range(n) if v not in targets]

    for v in starts:
        f[v] = 0

    # print f
    for i in range(n):
        get_f(children, parents, f, i)

    # print f
    return max(f)

def get_f(children, parents, f, i):
    if f[i] != None:
        return f[i]

    for v in parents[i]:
        f[i] = max(f[i], get_f(children, parents, f, v) + 1)

    return f[i]

# def longest_path(children, parents, n):
#     targets = [x for y in children.values() for x in y]
#     starts = [v for v in range(n) if v not in targets]
#     f = [None] * n
    
#     Q = deque([])
#     for v in starts:
#         f[v] = 0
#         Q.append((v, 0))

#     output = 0
#     while len(Q) > 0:
#         node, length = Q.pop()
#         output = max(output, length)
#         for v in children[node]:
#             Q.append((v, length+1))

#     return output

print(longest_path(children, parents, n))


### FIXED CODE ###

from collections import defaultdict
import sys
sys.setrecursionlimit(1000000)

n, m = [int(i) for i in raw_input().split()]
parents = defaultdict(list)

i = 0
while i < m:
    u, v = [int(x) for x in raw_input().split()]
    parents[v-1].append(u-1)
    i += 1

def calc_f(parents, f, i):
    if i < 0 or i >= len(f):
        return 0

    if f[i] != -1:
        return f[i]

    f[i] = 0
    for v in parents[i]:
        f[i] = max(f[i], calc_f(parents, f, v)+1)

    return f[i]

f = [-1] * n
j = 0
while j < n:
    calc_f(parents, f, j)
    j += 1

if len(f) == 0:
    print 0
else:
    print max(f)
import math

N,M=map(int,input().split())
S=input()
T=input()
n=1

t=math.gcd(N,M)

if t==1:
  print(N*M)
elif t==min(N,M):
  print(-1)
elif:
  print(t*max(N,M))

### FIXED CODE ###

from fractions import gcd
N,M=map(int,input().split())
S=input()
T=input()
L=N*M//gcd(N,M)
p=[]
q=[]

if S[::L//M]==T[::L//N]:
  print(L)
else:
  print(-1)
from math import floor as f
S = list(input())
N = len(S)


for c in range(f(N / 2)):
    if S[c] == S[-1 * c - 1]:
        pass
    else:
        exit("No")


for c in range(f((N - 1) / 4)):
    if S[c] == S[-1 * c + -1 * f(N / 2) - 2]:
        pass
    else:
        exit("No")



print("Yes")

### FIXED CODE ###

from math import floor as f
S = list(input())
N = len(S)

hantei = True
for c in range(f(N / 2)):
    if S[c] == S[-1 * c - 1]:
        pass
    else:
        hantei = False
        break

for c in range(f((N - 1) / 4)):
    if S[c] == S[-1 * c + -1 * f(N / 2) - 2]:
        pass
    else:
        hantei = False
        break

if hantei:
    print("Yes")
else:
    print("No")
A, B, C = map(int, input().split())
if (A * B * C) % 2 == 0:
    ans = 0
else:
    V = A*B*C
    AB = A*B
    BC = B*C
    CA = C*A
    ans = min(V-(A//2)*BC, V-((A//2) + 1)*BC)
    ans = min(V-(B//2)*CA, V-((B//2) + 1)*CA)
    ans = min(V-(C//2)*AB, V-((C//2) + 1)*AB)
print(V - 2*ans)

### FIXED CODE ###

A, B, C = map(int, input().split())
if (A * B * C) % 2 == 0:
    ans = 0
    print(ans)
else:
    ans = float('inf')
    V = A*B*C
    AB = A*B
    BC = B*C
    CA = C*A
    ans = min(ans, abs((A//2)*BC - ((A//2) + 1)*BC))
    ans = min(ans, abs((B//2)*CA - ((B//2) + 1)*CA))
    ans = min(ans, abs((C//2)*AB - ((C//2) + 1)*AB))
    print(ans)
import collections
N, M = [int(_) for _ in input().split()]
A = sorted([int(_) for _ in input().split()])
n_m = {1: 2, 2: 5, 3: 5, 4: 4, 5: 5, 6: 6, 7: 3, 8: 7, 9: 6}
m_n = {}
for a in A:
    m_n[n_m[a]] = a
countm = len(m_n)
dp = collections.defaultdict(lambda: -float('inf'))
dp[0] = 0
for i in range(1, N + 1):
    dp[i] = max(dp[i - m] + 1 for m, n in m_n.items())
ans = ''
ms = sorted(m_n.keys(), key=lambda _: m_n[_], reverse=True)
d = dp[N]
while N:
    for m in ms:
        if dp[N - m] == dp[N] - 1:
            N -= m
            ans += f'{m_n[m]}'
            break
print(ans)


### FIXED CODE ###

import collections
N, M = [int(_) for _ in input().split()]
A = sorted([int(_) for _ in input().split()])
n_m = {1: 2, 2: 5, 3: 5, 4: 4, 5: 5, 6: 6, 7: 3, 8: 7, 9: 6}
m_n = {}
for a in A:
    m_n[n_m[a]] = a
dp = collections.defaultdict(lambda: -float('inf'))
dp[0] = 0
for i in range(1, N + 1):
    dp[i] = max(dp[i - m] + 1 for m, n in m_n.items())
ans = ''
ms = sorted(m_n.keys(), key=lambda _: m_n[_], reverse=True)
d = dp[N]
while N:
    for m in ms:
        if dp[N - m] == dp[N] - 1:
            N -= m
            ans += str(m_n[m])
            break
print(ans)
def dfs(p, v, num):
    global g, plus_list, ans
    tmp = num + plus_list[v]
    for x in g[v]:
        if v == p:
            continue
        dfs(v, x, tmp)
    ans[v] = tmp
    
def main():
    import sys
    sys.setrecursionlimit(500000)
    global g, plus_list, ans
    N, Q = map(int, input().split())
    g = [[] for i in range(N)] 
    for i in range(N-1):
        a, b = map(int, input().split())
        a -= 1
        b -= 1
        g[a].append(b)
        g[b].append(a)

    plus_list = [0] * N
    for i in range(Q):
        q, y = map(int, input().split())
        plus_list[q-1] += y

    ans = [0] * N
    
    dfs(-1, 0, 0)
    print(*ans)
if __name__ == "__main__":
    main()

### FIXED CODE ###

import sys

sys.setrecursionlimit(10**6)
readline = sys.stdin.readline

def dfs(fr, now, num):
    global graph, addsum, ans
    tmp = num + addsum[now]
    for a in graph[now]:
        if a == fr:
            continue
        dfs(now, a, tmp)
    ans[now] = tmp


def main():
    global graph, addsum, ans
    N, Q = map(int, readline().split())
    graph = [[] for _ in range(N)]
    for _ in range(N-1):
        a, b = map(int, readline().split())
        a -= 1; b -= 1
        graph[a].append(b)
        graph[b].append(a)
    addsum = [0]*N
    for _ in range(Q):
        p, x = map(int, readline().split())
        p -= 1
        addsum[p] += x
    
    ans = [0]*N
    dfs(-1, 0, 0)

    print(*ans)


if __name__ == "__main__":
    main()
from fractions import gcd
N = int(input())
Alist = list(map(int, input().split()))
Rlist = [0]*(N+2)
Llist = [0]*(N+1)
for i in range(N):
    Llist[i+1] = gcd(Llist[i], Alist[i])
    Rlist[N-i] = gcd(Rlist[N-i+1], Alist[N-i+1])
print(max([gcd(Rlist[i], Llist[i]) for i in range(N)]))


### FIXED CODE ###

from fractions import gcd
N = int(input())
Alist = [0]+list(map(int, input().split()))+[0]
Rlist = [0]*(N+2)
Llist = [0]*(N+1)
for i in range(N):
    Llist[i+1] = gcd(Llist[i], Alist[i])
    Rlist[N-i] = gcd(Rlist[N-i+1], Alist[N-i+1])
print(max([gcd(Rlist[i], Llist[i]) for i in range(1,N+1)]))
import fractions
n=int(input())
t=list(map(int,input().split()))
numbers=list(set(t))
for i in range(len(numbers)):
    if i == 0:
        gcd = numbers[i]
        lcm = numbers[i]
    else:
        gcd = fractions.gcd(gcd, numbers[i])
        lcm = (lcm * numbers[i]) // fractions.gcd(lcm, numbers[i])
a=0
mod=10**9+7
for i in range(n):
  a+=lcm/t[i]
  a=a%mod
print(int(a))

### FIXED CODE ###

from fractions import gcd
s=int(input())
t=list(map(int, input().split()))
ans=t[0]
for i in t:
  ans=(ans*i)//gcd(ans,i)
mod=10**9+7
a=0
for j in t:
  a+=ans//j
print(int(a)%mod)
r = input()

print(r ** 2)

### FIXED CODE ###

r = int(input())

print(r**2)
n, q = map(int, input().split())
s = list(str(input()))


t = [0] * (n+1)
for i in range(n):
    if s[i] == 'A' and s[i+1] == 'C':
        t[i+1] = t[i] + 1
    else:
        t[i+1] = t[i]
        

for i in range(q):
    l, r = map(int,input().split())
    print(t[r-1] - t[l-1])

### FIXED CODE ###

n, q = map(int, input().split())
s = input()


t = [0] * (n+1)
for i in range(n):
    if s[i:i+2] == 'AC':
        t[i+1] = t[i] + 1
    else:
        t[i+1] = t[i]

        
for i in range(q):
    l, r = map(int, input().split())
    print(t[r-1] - t[l-1])
#088_D
import queue
h, w = map(int, input().split())
inf = 10 ** 5
s = [input() for _ in range(h)]
d = [[inf]*w for _ in range(h)]

que = queue.Queue()
que.put((0, 0))
d[0][0] = 0
while not que.empty():
    qx, qy = que.get()
    if qx == h-1 and qy == w-1:
        break
        
    for dx, dy in [(0, 1), (0, -1), (1, 0), (-1, 0)]:
        px, py = qx+dx, qy+dy
        if 0 <= px < h and 0<= py < w:
            if s[px][py] == '#':
                continue
            elif d[px][py] != inf:
                continue
            d[px][py] = d[qx][qy] + 1
            que.put((px, py))
            
if dp[h-1][w-1] == inf:
    print(-1)
else:
    print(h * w - (d[h-1][w-1]+1) - sum(s[i].count('#') for i in range(h)))

### FIXED CODE ###

#088_D
import queue
h, w = map(int, input().split())
inf = 10 ** 5
s = [input() for _ in range(h)]
d = [[inf]*w for _ in range(h)]

que = queue.Queue()
que.put((0, 0))
d[0][0] = 0
while not que.empty():
    qx, qy = que.get()
    if qx == h-1 and qy == w-1:
        break
        
    for dx, dy in [(0, 1), (0, -1), (1, 0), (-1, 0)]:
        px, py = qx+dx, qy+dy
        if 0 <= px < h and 0<= py < w:
            if s[px][py] == '#':
                continue
            elif d[px][py] != inf:
                continue
            d[px][py] = d[qx][qy] + 1
            que.put((px, py))
            
if d[h-1][w-1] == inf:
    print(-1)
else:
    print(h * w - (d[h-1][w-1]+1) - sum(s[i].count('#') for i in range(h)))
s = input()
sr = s.reverse()
count = 0
for i in range(len(sr)-1):
    if sr[i]>=5:
        count += 10-sr[i]
        sr[i+1] += 1
    else:
        count += sr[i]
if sr[len(sr)-1] >=5:
    count += 1
    count += 10- sr[len(sr)-1]
else:
    count += sr[len(sr)-1]
print(count)

### FIXED CODE ###

N = list(input())
Y = [0]
for i in N:
    Y.append(int(i))
dp = [0 for i in range(len(N)+1)]
dp2 = [10 for i in range(len(N)+1)]
for i in range(1,len(N)+1):
    dp[i] = min(dp[i-1] + Y[i],dp2[i-1] + Y[i])
    dp2[i] = min(dp[i-1] + 1 + 10 - Y[i],dp2[i-1] - 1 + 10 - Y[i])
    #print(str(dp[i])+":" +str(dp2[i]))
ans = min(dp[-1],dp2[-1])
#print(dp,dp2)
print(ans)
n = str(input())[::-1]
n = "0" + n
l = len(n)
ans = 0
flg = 0
check = 0

for i in range(l):
    check = int(n[i])
    check += flg
    if check == 5:
        if int(n[i + 1]) >= 5:
            ans += 5
            flg = 1
        else:
            ans += 5
            flg = 0
    elif check > 5:
        ans += 10 - check
        flg = 1
    else:
        ans += check
        flg = 0
print(ans + flg)



### FIXED CODE ###

n = str(input())[::-1]
n = n + "0"
l = len(n)
ans = 0
flg = 0
check = 0

for i in range(l):
    check = int(n[i])
    check += flg
    if check == 5:
        if int(n[i + 1]) >= 5:
            ans += 5
            flg = 1
        else:
            ans += 5
            flg = 0
    elif check > 5:
        ans += 10 - check
        flg = 1
    else:
        ans += check
        flg = 0
print(ans + flg)
predict_weather = list(input())
actual_weather = list(input())

count = 0
for i in len(predict_weather):
  if predict_weather[i] == actual_weather[i]:
    count += 1

return count

### FIXED CODE ###

predict_weather = list(input())
actual_weather = list(input())
 
count = 0
for i in range(len(predict_weather)):
  if predict_weather[i] == actual_weather[i]:
    count += 1
 
print(count)
import numpy as np

while True:
    try:
        l = list(map(int, input().split()))
        S = l[0]
        p = np.zeros(S)
        M = l[1]
        i = 0
        N = M

        while True:
            if N == M and i != 0:
                ans = i % S - 1
                if ans < 0:
                    ans = S + ans
                print(ans)
                break

            if N == 0:
                N = p[i % S]
                p[i % S] = 0
                i += 1

            else:
                N -= 1
                p[i % S] += 1
                i += 1

    except:
        break


### FIXED CODE ###

while True:
    l = list(map(int, input().split()))
    S = l[0]
    p = [0 for i in range(S)]
    M = l[1]
    i = 0
    N = M
    if M == 0 and S == 0:
        break

    while True:
        if p[i] == M:
            print(i)
            break

        if N == 0:
            N = p[i]
            p[i] = 0
            i += 1
            i %= S

        else:
            N -= 1
            p[i] += 1
            i += 1
            i %= S
N = int(input())

X = input()

o = 0
cnt = 0
for i in X:
    o *= 2
    if i == "1":
        o += 1
        cnt += 1

orev = [o % (cnt+1) , o % (cnt-1)]

for i in range(N):

    nb = int(X[i])

    if nb == 0:
        mod = cnt+1
        now = (orev[0] + pow(2,N-1-i,mod)) % mod

        ans = 1
        while now != 0:
            s = format( now , 'b' )
            one = 0
            for j in s:
                if j == "1":
                    one += 1
            now %= one
            ans += 1

        print (ans)

    else:
        mod = cnt-1
        now = (orev[1] - pow(2,N-1-i,mod)) % mod

        ans = 1
        while now != 0:
            s = format( now , 'b' )
            one = 0
            for j in s:
                if j == "1":
                    one += 1
            now %= one
            ans += 1

        print (ans)

### FIXED CODE ###

import sys
N = int(input())

X = input()

o = 0
cnt = 0
for i in X:
    o *= 2
    if i == "1":
        o += 1
        cnt += 1

if cnt == 0:
    for i in range(N):
        print (1)
    sys.exit()
elif cnt == 1:
    orev = [o % (cnt+1) , None]
else:
    orev = [o % (cnt+1) , o % (cnt-1)]

for i in range(N):

    nb = int(X[i])

    if nb == 0:
        mod = cnt+1
        now = (orev[0] + pow(2,N-1-i,mod)) % mod

        ans = 1
        while now != 0:
            s = format( now , 'b' )
            one = 0
            for j in s:
                if j == "1":
                    one += 1
            now %= one
            ans += 1

        print (ans)

    else:
        if cnt == 1:
            print (0)
            continue
        
        mod = cnt-1
        now = (orev[1] - pow(2,N-1-i,mod)) % mod

        ans = 1
        while now != 0:
            s = format( now , 'b' )
            one = 0
            for j in s:
                if j == "1":
                    one += 1
            now %= one
            ans += 1

        print (ans)
import math
N = int(input())
factors = []

while N % 2 == 0:
    factors.append(2)
    N //= 2
f = 3
while f*f <= N:
    if N % f == 0:
        factors.append(f)
        N //= f
    else:
        f += 2

if not factors:
    print(N-1)
else:
    if N > 1:
        factors.append(N)

    n = len(factors)
    sums = []
    for i in range(1, n**2-1):
        l = 1
        r = 1
        for j in range(n):
            if (i >> j) & 1:
                l *= factors[j]
            else:
                r *= factors[j]
        sums.append(l-1 + r-1)
    print(min(sums))

### FIXED CODE ###

import math
N = int(input())

minlen = 10**12
for i in range(1, int(math.sqrt(N))+1):
    if N%i == 0:
        minlen = min(minlen, i + N//i - 2)

if minlen == 10**9:
    print(N-1)
else:
    print(minlen)
# https://atcoder.jp/contests/abc068/submissions/12987221
# C - Cat Snuke and a Voyage
import sys

sys.setrecursionlimit(10 ** 7)
f_inf = float('inf')
mod = 10 ** 9 + 7


def resolve():
    n, m = map(int, input().split())

    edge = [[] for _ in range(n)]
    for _ in range(m):
        a, b = map(int, input().split())
        edge[a - 1].append(b - 1)
        edge[b - 1].append(a - 1)

    for i in edge[0]:
        if n - 1 in set(edge[i]):
            print("POSSIBLE")
            break
    else:
        print("IMPOSSIBLE")


def resolve2():
    n, m = map(int, input().split())

    edge = [[] for _ in range(n)]
    for _ in range(m):
        a, b = map(int, input().split())
        edge[a - 1].append(b - 1)
        edge[b - 1].append(a - 1)

    depth = [0 for _ in range(n)]

    def dfs(v, p, d):
        depth[v] = d
        for u in edge[v]:
            if u == p:
                continue
            dfs(u, v, d + 1)

    dfs(0, -1, 0)
    if depth[n - 1] <= 2:
        print("POSSIBLE")
    else:
        print("IMPOSSIBLE")


if __name__ == '__main__':
    resolve2()


### FIXED CODE ###

from collections import deque

n, m = map(int, input().split())
tree = [[] for _ in range(n)]
for _ in range(m):
    a, b = map(int, input().split())
    tree[a - 1].append(b - 1)
    tree[b - 1].append(a - 1)
res = []

f_inf = float("inf")
dist = [f_inf for _ in range(n)]
dist[0] = 0
q = deque()
q.append(0)
while q:
    u = q.popleft()
    for nv in tree[u]:
        if dist[nv] == f_inf:
            dist[nv] = dist[u] + 1
            q.append(nv)
if dist[n - 1] <= 2:
    print("POSSIBLE")
else:
    print("IMPOSSIBLE")
li = [1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51]
print(li[input()-1])

### FIXED CODE ###

li = [1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51]
print(li[int(input())-1])
S = input()
l = len(S)

count = 0
for i in range(l):
  for j in range(l):
    if i < j:
      new_s = int(S[i:j+1])
      if new_s % 2019 == 0:
        count += 1
      else:
        continue
    else:
      continue
print(count)

### FIXED CODE ###

S, W = [int(i) for i in input().split()]

if S <= W:
  print('unsafe')
else:
  print('safe')
N,Q = map(int, input().split())
import copy
es = {}
for i in range(N-1):
    a,b = map(int, input().split())
    a,b = a-1, b-1
    if a in es:
        es[a].append(b)
    else:
        es[a] = [b]


point_root = [0] * N
query = [None]
for i in range(Q):
    p,x = map(int, input().split())
    point_root[p-1] += x 

ans = [0] * N
visited = [False] * N
ans[0] = point_root[0]
visited[0] = True
def solve(node, point):
    ans[node] = point
    visited[node] = True
    if all(visited) == True:
        print(*ans)
        exit()

    if es.get(node, None) != None:
        next_nodes = copy.deepcopy(es[node]) # これからポイントを足し行くやつら

        for i in next_nodes:
            solve(i, point+point_root[i])
solve(0, point_root[0])

### FIXED CODE ###

N,Q = map(int, input().split())
import copy
import sys

sys.setrecursionlimit(10**6)
es = [[] for i in range(N)]

for i in range(N-1):
    a,b = map(int, input().split())
    a,b = a-1, b-1
    es[a].append(b)
    es[b].append(a)


point = [0] * N

for i in range(Q):
    p,x = map(int, input().split())
    point[p-1] += x 

ans = [0] * N
ans[0] = point[0] # 一番上の根なのでこれだけ
visited = [False] * N
visit_cnt = 1
from collections import deque
nexts = deque([0])
while len(nexts) >= 1:
    now = nexts.popleft()
    visited[now] = True

    for next in es[now]:
        if visited[next] == True:
            continue
        nexts.append(next)
        ans[next] = ans[now] + point[next]


print(*ans)
s = input()

n = len(s)
front_s = s[:(n-1)//2]
back_s = s[(n+3)//2-1:]
n1 = len(front_s)

if front_s == back_s[::-1]:
  if (n-1)//2%2 == 1:
    if front_s[:(n1-1)//2] == (front_s[(n1+3)//2-1:])[-1] and back_s[:(n1-1)//2] == (back_s[(n1+3)//2-1:])[::-1]:
      print('Yes')
    else:
      print('No')
  else:
    if front_s[:n1//2] == (front_s[n1//2:])[-1] and back_s[:n1//2] == (back_s[n1//2:])[::-1]:
      print('Yes')
    else:
      print('No')
else:
  print('No')
    

### FIXED CODE ###

s = input()
n = len(s)

if s[:int((n-1)/2)] == s[int((n+3)/2)-1:] and s[:int((n-1)/2)] == (s[int((n+3)/2)-1:])[::-1]:
  print('Yes')
else:
  print('No')