qyliang/CodeNanoFix huggingface dataset:
Buggy code:
N,M=map(int,input().split())
L=2**N
l=[float("inf")]*L
l[0]=0
r=(1,2,4,8,16,32,64,128,256,512,1024,2048)
for i in range(M):
    s=0
    a,b=map(int,input().split())
    c=tuple(map(int,input().split()))
    for j in c:
        s+=r[j-1]
    for j in range(L):
        l[j|s]=min(l[j|s],l[j]+a)
if l[-1]=="inf":
    print(-1)
else:
    print(l[-1])

Fixed code:
N,M=map(int,input().split())
L=2**N
l=[float("inf")]*L
l[0]=0
r=(1,2,4,8,16,32,64,128,256,512,1024,2048)
for i in range(M):
    s=0
    a,b=map(int,input().split())
    c=tuple(map(int,input().split()))
    for j in c:
        s+=r[j-1]
    for j in range(L):
        l[j|s]=min(l[j|s],l[j]+a)
if l[-1]==float("inf"):
    print(-1)
else:
    print(l[-1])
Buggy code:
n,m = map(int,input().split())
dp = [10**9]*(2**n)
for i in range(m):
  a,_ = map(int,input().split())
  c = list(map(int,input().split()))
  t = 0
  for x in c:
    t |= 1<<(x-1)
  for b in range(2**n):
    dp[b|t] = min(dp[b],dp[b+a])
if dp[-1] > 10**8:
  print(-1)
else:
  print(dp[-1])

Fixed code:
n,m = map(int,input().split())
dp = [10**9]*(2**n)
dp[0] = 0
for _ in range(m):
  a,_ = map(int,input().split())
  c = list(map(int,input().split()))
  t = 0
  for x in c:
    t |= 1<<(x-1)
  for b in range(2**n):
    dp[b|t] = min(dp[b|t],dp[b]+a)
if dp[-1] > 10**8:
  print(-1)
else:
  print(dp[-1])
Buggy code:
N,M = map(int, input().split())
L = []
C = []
for i in range(M):
    L.append([int(l) for l in input().split()])
    C.append([int(c) for c in input().split()])
    
dp = [10**8+1 for j in range(2**N)]
dp[0] = 0

for i in range(1, M+1):
    temp = 0
    for k in range(len(C[i-1])):
        temp += 2**(C[i-1][k]-1)
    for j in range(2**N):
        if i == 1:
            if j | temp == temp and j != 1:
                dp[j] = L[i-1][0]

        else:
            dp[temp | j] = min(dp[temp | j], dp[j]+L[i-1][0])
      
if dp[-1] >= 10**8+1:
    print(-1)
else:
    print(dp[-1])

Fixed code:
N,M = map(int, input().split())
L = []
C = []
for i in range(M):
    L.append([int(l) for l in input().split()])
    C.append([int(c) for c in input().split()])
    
dp = [10**8+1 for j in range(2**N)]
dp[0] = 0

for i in range(1, M+1):
    temp = 0
    for k in range(len(C[i-1])):
        temp += 2**(C[i-1][k]-1)
    for j in range(2**N):
        if i == 1:
            if j | temp == temp and j != 0:
                dp[j] = L[i-1][0]

        else:
            dp[temp | j] = min(dp[temp | j], dp[j]+L[i-1][0])
      
if dp[-1] >= 10**8+1:
    print(-1)
else:
    print(dp[-1])
Buggy code:
#%%
N, M = map(int, input().split())

a = [0] * M
b = [0] * M
c = [[] for _ in range(M)]
for i in range(M):
    a[i], b[i] = map(int, input().split())
    c[i] = list(map(int, input().split()))

inf = float('inf') 
cost = [inf] * (2**N)
cost[0] = 0

movement = []
for i in range(M):
    move = 0
    for j in range(len(c[i])):
        move += 2 ** (c[i][j]-1)
    movement.append(move)

for i in range(2**N):
    for j in range(M):
        move2 = movement[j] 
        if cost[i|move2] < cost[i]+a[j]:
        cost[i|move2] = cost[i]+a[j]

if cost[2**N-1] == inf:
    print(-1)
else:
    print(cost[2**N-1])

Fixed code:
#%%
N, M = map(int, input().split())

a = [0] * M
b = [0] * M
c = [[] for _ in range(M)]
for i in range(M):
    a[i], b[i] = map(int, input().split())
    c[i] = list(map(int, input().split()))

inf = float('inf') 
cost = [inf] * (2**N)
cost[0] = 0

movement = []
for i in range(M):
    move = 0
    for j in range(len(c[i])):
        move += 2 ** (c[i][j]-1)
    movement.append(move)

for i in range(2**N):
    for j in range(M):
        move2 = movement[j] 
        if cost[i|move2] > cost[i]+a[j]:
            cost[i|move2] = cost[i]+a[j]

if cost[2**N-1] == inf:
    print(-1)
else:
    print(cost[2**N-1])
Buggy code:
def main():
    n, m = map(int, input().split())
    p = 2**n
    dp = [10**7]*p
    dp[0] = 0
    for _ in range(m):
        a, _ = map(int, input().split())
        c = sum([2**(int(i)-1) for i in input().split()])
        for s in range(p):
                t = s|c
                if dp[t] > dp[s] + a:
                    dp[t] = dp[s] + a
    ans = dp[-1]
    if ans == float('inf'):
        ans = -1
    print(ans)

if __name__ == '__main__':
    main()

Fixed code:
def main():
    n, m = map(int, input().split())
    p = 2**n
    dp = [float('inf')]*p
    dp[0] = 0
    for _ in range(m):
        a, _ = map(int, input().split())
        c = sum([2**(int(i)-1) for i in input().split()])
        for s in range(p):
                t = s|c
                if dp[t] > dp[s] + a:
                    dp[t] = dp[s] + a
    ans = dp[-1]
    if ans == float('inf'):
        ans = -1
    print(ans)

if __name__ == '__main__':
    main()
Buggy code:
n, m = map(int, input().split())
ac = []
for _ in range(m):
    a, _ = map(int, input().split())
    c = sum([2**(int(i)-1) for i in input().split()])
    ac.append([a, c])
dp = [float('inf')] * 2**n
dp[0] = 0
for s in range(2**n):
    for a, c in ac:
        t = s|c
        if dp[t] < dp[s] + a:
            dp[t] = dp[s] + a
ans = dp[-1]
if ans == float('inf'):
    ans = -1
print(ans)

Fixed code:
n, m = map(int, input().split())
ac = []
for _ in range(m):
    a, _ = map(int, input().split())
    c = sum([2**(int(i)-1) for i in input().split()])
    ac.append([a, c])
dp = [float('inf')] * 2**n
dp[0] = 0
for s in range(2**n):
    for a, c in ac:
        t = s|c
        if dp[t] > dp[s] + a:
            dp[t] = dp[s] + a
ans = dp[-1]
if ans == float('inf'):
    ans = -1
print(ans)
Buggy code:
I=lambda:list(map(int,input().split()))
n,m=I()
e=[(I()[0],[2**(n-i)for i in I()])for _ in'_'m]
I=9**9
dp=[I]*2**n
dp[0]=0
for i,d in enumerate(dp):
    if d==I:continue
    for a,c in e:
        b,x=i,d+a
        for j in c:b|=j
        if dp[b]>x:dp[b]=x
print(-(dp[-1]==I)or dp[-1])

Fixed code:
def main():
  I=lambda:list(map(int,input().split()))
  n,m=I()
  e=[(I()[0],[1<<n-i for i in I()])for _ in'_'*m]
  I=9**9
  dp=[I]*2**n
  dp[0]=0
  for i,d in enumerate(dp):
    if d==I:continue
    for a,c in e:
      b,x=i,d+a
      for j in c:b|=j
      if dp[b]>x:dp[b]=x
  print(-(dp[-1]==I)or dp[-1])
main()
Buggy code:
n,m = input().split(' ')
n = int(n)
m = int(m)
dp = [float('inf')]*2**n
dp[0] = 0
d = [0]*m
for i in range(m):
    a,b = input().split(' ')
    a = int(a)
    b = int(b)
    ngo = 0
    for j in input().split(' '):
        ngo += 2**(int(j)-1)
    for j in range(2**n):
        if dp[j|ngo] > dp[j]+a:
            dp[j|ngo] = dp[j]+a
    
print(dp[2**n-1])

Fixed code:
n,m = input().split(' ')
n = int(n)
m = int(m)
dp = [float('inf')]*2**n
dp[0] = 0
for i in range(m):
    a,b = input().split(' ')
    a = int(a)
    b = int(b)
    ngo = 0
    for j in input().split(' '):
        ngo += 2**(int(j)-1)
    for j in range(2**n):
        if dp[j|ngo] > dp[j]+a:
            dp[j|ngo] = dp[j]+a
    
if dp[2**n-1] == float('inf'):
    print(-1)
    exit(0)
print(dp[2**n-1])
Buggy code:
n, m = map(int, input().split())

INF = float('inf')
dp = [[INF for j in range(2**n)] for i in range(m+1)]

for i in range(m+1):
    dp[i][0] = 0

for i in range(m):
    a, b = map(int, input().split())
    c = list(map(int, input().split()))

    for j in range(2**n):
        k = 0
        for ci in c:
            ci -= 1
            k = k | (1 << ci)
        k = k | j
        dp[i+1][k] = min(dp[i][k], dp[i][j] + a)

if dp[m][2**n-1] == INF:
    print(-1)
else:
    print(dp[m][2**n-1])



Fixed code:
n, m = map(int, input().split())

INF = float('inf')
dp = [INF for j in range(2**n)]

dp[0] = 0

for i in range(m):
    a, b = map(int, input().split())
    c = map(int, input().split())

    k = 0
    for ci in c:
        ci -= 1
        k |= (1 << ci)
    for j in range(2**n):
        l = k | j
        dp[l] = min(dp[l], dp[j] + a)

if dp[2**n-1] == INF:
    print(-1)
else:
    print(dp[2**n-1])
Buggy code:
N, M = map(int, input().split())

dp = [float("inf")] * (2 ** N)

dp[0] = 0

for i in range(M):
    
    a, b = map(int, input().split())
    c = list(map(int, input().split()))

    key = 0

    for j in c:
        key += 2 ** (j-1)

    for j in range(2**N):
        if dp[j | num] > dp[j] + a:
            dp[j | num] = dp[j] + a

if dp[2 ** N - 1] == float("inf"):
    print(-1)
else:
    print(dp[2 ** N - 1])

Fixed code:
N, M = map(int, input().split())

dp = [float("inf")] * (2 ** N)

dp[0] = 0

for i in range(M):

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

    key = 0

    for j in c:
        key += 2 ** (j-1)

    for j in range(2**N):
        if dp[j | key] > dp[j] + a:
            dp[j | key] = dp[j] + a

if dp[2 ** N - 1] == float("inf"):
    print(-1)
else:
    print(dp[2 ** N - 1])
Buggy code:
n, m = map(int, input().split())
dp = [[int(2e8) for _ in range(2**n)] for _ in range(2)]
dp[0][0] = 0
dp[1][0] = 0
for i in range(m):
    a, _ = map(int, input().split())
    k = sum(map(lambda c: 1 << (c - 1), list(map(int, input().split()))))
    for j in range(2**n):
         dp[(i + 1) % 2][j | k] = min(dp[(i + 1) % 2][j | k], dp[i % 2][j] + a)
ans = dp[m % 2][-1]
if ans == int(2e8):
    ans = -1
print(ans)

Fixed code:
n, m = map(int, input().split())
dp = [[int(2e8) for _ in range(2**n)] for _ in range(2)]
dp[0][0] = 0
dp[1][0] = 0
for i in range(m):
    a, _ = map(int, input().split())
    k = sum(map(lambda c: 1 << (c - 1), list(map(int, input().split()))))
    for j in range(2**n):
         dp[(i + 1) % 2][j] = min(dp[(i + 2) % 2][j], dp[i % 2][j])
    for j in range(2**n):
         dp[(i + 1) % 2][j | k] = min(dp[(i + 1) % 2][j | k], dp[i % 2][j] + a)
ans = min(dp[0][-1], dp[1][-1])
if int(1e8) < ans:
    ans = -1
print(ans)
Buggy code:
import heapq as hq
inf = 10 ** 18

N, M = map(int, input().split())
n = 1 << N
dis = [inf] * n
que = []
key = []

for _ in range(M):
    a, _ = map(int, input().split())
    c = map(int, input().split())
    k = 0
    for x in c:
        k += 1 << (x-1)
    key.append((k, a))

dis[0] = 0
hq.heappush(que, (0, 0))

while que != []:
    # print(*dis)
    # print(que)
    d, v = hq.heappop(que)
    if d == dis[v]:
        for gain, cost in key:
            if not (gain & v) == gain:
                to = gain | v
                if dis[to] > d + cost:
                    dis[to] = d + cost
                    hq.heappush(que, (dis[to], to))
print(dis[n-1])

Fixed code:
import heapq as hq
inf = 10 ** 18

N, M = map(int, input().split())
n = 1 << N
dis = [inf] * n
que = []
key = []

for _ in range(M):
    a, _ = map(int, input().split())
    c = map(int, input().split())
    k = 0
    for x in c:
        k += 1 << (x-1)
    key.append((k, a))

dis[0] = 0
hq.heappush(que, (0, 0))

while que != []:
    # print(*dis)
    # print(que)
    d, v = hq.heappop(que)
    if d == dis[v]:
        for gain, cost in key:
            if not (gain & v) == gain:
                to = gain | v
                if dis[to] > d + cost:
                    dis[to] = d + cost
                    hq.heappush(que, (dis[to], to))
if dis[n-1] == inf:
    print(-1)
else:
    print(dis[n-1])
Buggy code:
n,m = map(int,input().split())
dp = [[10**10 for i in range(m+1)] for j in range(1<<n)]

for i in range(m+1):
    dp[(1<<n)-1][i] = 0
#print(dp)

for i in range(m):
    a,b = map(int,input().split())
    c = list(map(int,input().split()))
    S_c = 0
    for x in c:
        S_c += 1<<(x-1)
    #print(S_c)
    for s in range(1<<n):
        if s == 2 and i == 0:
            print(a + dp[s | S_c][i])
        dp[s][i+1] = min(dp[s][i],a+dp[s | S_c][i],dp[s][i+1])

    #print(dp)

if dp[0][m] == 10**10:
    print(-1)
else:
    print(dp[0][m])

Fixed code:
n,m = map(int,input().split())
dp = [[10**10 for i in range(m+1)] for j in range(1<<n)]

for i in range(m+1):
    dp[(1<<n)-1][i] = 0
#print(dp)

for i in range(m):
    a,b = map(int,input().split())
    c = list(map(int,input().split()))
    S_c = 0
    for x in c:
        S_c += 1<<(x-1)
    #print(S_c)
    for s in range(1<<n):
        dp[s][i+1] = min(dp[s][i],a+dp[s | S_c][i],dp[s][i+1])

    #print(dp)

if dp[0][m] == 10**10:
    print(-1)
else:
    print(dp[0][m])
Buggy code:
n, m = [int(i) for i in input().split()]
def get_dp(x):
    return sum([2**i for i in x])
a = []
c = []
d=set()
for j in range(m):
    a2, _ = [int(i) for i in input().split()]
    a.append(a2)
    temp=[int(i)-1 for i in input().split()]
    c.append(get_dp(temp))
    d |= set(temp)

if len(d) != n:
    print(-1)
    exit()


dp = [10**10] * (2 ** n)
dp[0] = 0
for i,m in zip(c,a):
    for j, k in enumerate(dp):
        if k != 10**10:
            print(i)
            l=j|i
            dp[l] = min(dp[l], k + m)
print(dp[-1])

Fixed code:
n, m = [int(i) for i in input().split()]
def get_dp(x):
    return sum([2**i for i in x])
a = []
c = []
d=set()
for j in range(m):
    a2, _ = [int(i) for i in input().split()]
    a.append(a2)
    temp=[int(i)-1 for i in input().split()]
    c.append(get_dp(temp))
    d |= set(temp)

if len(d) != n:
    print(-1)
    exit()


dp = [10**10] * (2 ** n)
dp[0] = 0
for i,m in zip(c,a):
    for j, k in enumerate(dp):
        if k != 10**10:
            l=j|i
            dp[l] = min(dp[l], k + m)
print(dp[-1])
Buggy code:
def tapdance(s):
    for i in range(len(s)):
        if i % 2 == 0:
            if s[i] != 'L':
                return 'No'
        else:
            if s[i] != 'R':
                return 'No'
    return 'Yes'
s = input()
print(tapdance(s))


Fixed code:
def tapdance(s):
    for i in range(len(s)):
        if i % 2 == 0:
            if s[i] != 'R' and s[i] != 'U' and s[i] != 'D':
                return 'No'
        else:
            if s[i] != 'L' and s[i] != 'U' and s[i] != 'D':
                return 'No'
    return 'Yes'
s = input()
print(tapdance(s))
Buggy code:
def main(s: str):
    if re.match(r'^([^L][^R])*[^L]$', s):
        print('Yes')
    else:
        print('No')


if __name__ == "__main__":
    s = input()

    main(s)


Fixed code:
import re


def main(s: str):
    if re.match(r'^([^L][^R])*[^L]?$', s):
        print('Yes')
    else:
        print('No')


if __name__ == "__main__":
    s = input()

    main(s)
Buggy code:
s = input()
odd = set(s[::1])
if "L" in odd:
  print("No")
  exit()
even = set(s[1::1])
if "R" in even:
  print("No")
  exit()
print("Yes")

Fixed code:
s = input()
odd = set(s[::2])
if "L" in odd:
  print("No")
  exit()
even = set(s[1::2])
if "R" in even:
  print("No")
  exit()
print("Yes")
Buggy code:
import numpy as np
S = input()
count = True
for i in np.arange(0, len(S), 2):
    if S[i] == "L":
        count = False
        
for i in np.arange(1, len(S), 2):
    if S[i] == "R":
        count += False

if count:
    print("Yes")
else:
    print("No")

Fixed code:
import numpy as np
S = input()
count = 0
for i in np.arange(0, len(S), 2):
    if S[i] == "L":
        count += 1
        
for i in np.arange(1, len(S), 2):
    if S[i] == "R":
        count += 1

if count == 0:
    print("Yes")
else:
    print("No")
Buggy code:
S  = list(input())
print(len(S))
index_even = ['R','U','D']
index_odd = ['L','U','D']
cnt_odd = 0
cnt_even = 0
for i in range(len(S)):
    if i % 2 == 0:
        if S[i] in index_even:
            cnt_even += 1
    else:
        if S[i] in index_odd:
            cnt_odd += 1
if (cnt_even + cnt_odd) == len(S):
    print('Yes')
else:
    print('No')

Fixed code:
S  = list(input())
index_even = ['R','U','D']
index_odd = ['L','U','D']
cnt_odd = 0
cnt_even = 0
for i in range(len(S)):
    if i % 2 == 0:
        if S[i] in index_even:
            cnt_even += 1
    else:
        if S[i] in index_odd:
            cnt_odd += 1
if (cnt_even + cnt_odd) == len(S):
    print('Yes')
else:
    print('No')
Buggy code:
s = input()

even = []
odd = []
for i, elem in enumerate(s):
  if i % 2 == 0:
    odd.append(elem)
  else:
    even.append(elem)

if list(set(even)) in ['D', 'U', 'L'] and list(set(odd)) in ['U', 'R', 'D']:
  print("Yes")
else:
  print("No")

Fixed code:
s = input()

even = []
odd = []
for i, elem in enumerate(s):
  if i % 2 == 0:
    odd.append(elem)
  else:
    even.append(elem)

if all(elem in ['D', 'U', 'L'] for elem in list(set(even))) and all(elem in ['U', 'R', 'D'] for elem in list(set(odd))):
  print("Yes")
else:
  print("No")
Buggy code:
s=input()
N=len(s)
a="Yes"

for i in range (0,N):
  if i%2=0:
    if (s[i]!="R") and (s[i]!="U") and (s[i]!="D"):
      a="No"
      break
  else:
    if (s[i]!="L") and (s[i]!="U") and (s[i]!="D"):
      a="No"
      break
print(a)
      
      
      

Fixed code:
s=input()
N=len(s)
a="Yes"

for i in range (0,N):
  if i%2==0:
    if (s[i]!="R") and (s[i]!="U") and (s[i]!="D"):
      a="No"
      break
  else:
    if (s[i]!="L") and (s[i]!="U") and (s[i]!="D"):
      a="No"
      break
print(a)
Buggy code:
easy = [["L","U","D"],["R","U","D"]]
S = list(input())
ans = "Yes"
for i, s in enumerate(S):
  if not (s in easy[i%2]):
    ans = "No"
    break
print(ans)


Fixed code:
easy = [["L","U","D"],["R","U","D"]]
S = list(input())
ans = "Yes"
for i, s in enumerate(S):
  if not (s in easy[(i+1)%2]):
    ans = "No"
    break
print(ans)
Buggy code:
import sys
S=list(input())
c=len(R)
for i in range(c):
  if i%2==0:
    if L[i]!="R" and L[i]!="D" and L[i]!="U":
      print("No")
      sys.exit()
  else:
    if L[i]!="L" and L[i]!="D" and L[i]!="U":
      print("No")
      sys.exit()
print("Yes")

Fixed code:
import sys
L=list(input())
c=len(L)
for i in range(c):
  if i%2==0:
    if L[i]!="R" and L[i]!="D" and L[i]!="U":
      print("No")
      sys.exit()
  else:
    if L[i]!="L" and L[i]!="D" and L[i]!="U":
      print("No")
      sys.exit()
print("Yes")
Buggy code:
s = input()

for i in range(len(s)):
    if (i % 2 == 0) and s[i] == "R":
        print("No")
        break
    elif (i % 2 != 0) and s[i] == "L":
        print("No")
else:
    print("Yes")

Fixed code:
s = input()

for i in range(len(s)):
    if ((i+1) % 2 == 0) and s[i] == "R":
        print("No")
        break
    elif ((i+1) % 2 != 0) and s[i] == "L":
        print("No")
        break
else:
    print("Yes")
Buggy code:
s = list(input())
for i in range(len(s)):
  if i%2!=0 and s[i]=='L':
    print('No')
    exit()
  if i%2==0 and s[i]=='R':
    print('No')
    exit()
print('Yes')


Fixed code:
s = list(input())
for i in range(len(s)):
  if i%2==0 and s[i]=='L':
    print('No')
    exit()
  if i%2!=0 and s[i]=='R':
    print('No')
    exit()
print('Yes')
Buggy code:
S = input()
O = ['R','U','D']
E = ['L','U','D']
ng = False
for i in range(len(S)):
  if i % 2 == 0:
    if S[i] not in O:
      ng = True
      break
  else:
    if S[i] not in E:
      ng = True
      break
print('No') if ng print('Yes')

Fixed code:
S = input()
O = ['R','U','D']
E = ['L','U','D']
ng = False
for i in range(len(S)):
  if i % 2 == 0:
    if S[i] not in O:
      ng = True
      break
  else:
    if S[i] not in E:
      ng = True
      break
print('No') if ng else print('Yes')
Buggy code:
N=list(input())
a=[]
b=[]
#print(N)
#print(len(N))
for k in range(len(N)):
    if k%2>0:
        a.append(N[k])
    else:
        b.append(N[k])
if   a.count('L')==0 and b.count('R')==0:
    print('Yes')
else:
    print('No')


Fixed code:
N=list(input())
a=[]
b=[]
#print(N)
#print(len(N))
for k in range(len(N)):
    if k%2>0:
        b.append(N[k])
    else:
        a.append(N[k])
if   a.count('L')==0 and b.count('R')==0:
    print('Yes')
else:
    print('No')
Buggy code:
s = input()
for i in range(len(s)):
  if (i % 2 == 0 and s[i] == 'R') or (i % 2 == 1 and s[i] == 'L'):
    print('No')
    exit()
print('Yes')

Fixed code:
s = input()
for i in range(len(s)):
  if (i % 2 == 1 and s[i] == 'R') or (i % 2 == 0 and s[i] == 'L'):
    print('No')
    exit()
print('Yes')
Buggy code:
flags = ['Yes', 'No']

input_s = input()

odd_s = input_s[1::2]
even_s = input_s[0::2]

no_flag = ('R' in even_s) | ('L' in odd_s)

print(flags[no_flag])

Fixed code:
flags = ['Yes', 'No']

input_s = input()

odd_s = input_s[0::2]
even_s = input_s[1::2]

no_flag = ('L' in odd_s) | ('R' in even_s)

print(flags[no_flag])
Buggy code:
s=input()
if (s[::2]=='L') or (s[1::2]=='R'):
  print('No')
else:
  print('Yes')

Fixed code:
s=input()
if ('L' in s[::2]) or ('R' in s[1::2]):
  print('No')
else:
  print('Yes')
Buggy code:
S = list(input())
for i in S[::2]:
    if i == 'R':
        print('No')
        exit()
for i in S[1::2]:
    if i == 'L':
        print('No')
        exit()
print('Yes')

Fixed code:
S = list(input())
for i in S[1::2]:
    if i == 'R':
        print('No')
        exit()
for i in S[::2]:
    if i == 'L':
        print('No')
        exit()
print('Yes')
Buggy code:
S=str(input())
ans="Yes"
for i,s in S:
  if i%2==0:#odd
    if s=="L":
      ans="No"
  else:#even
    if s=="R":
      ans="No"
print(ans)

Fixed code:
S=str(input())
ans="Yes"
for i,s in enumerate(S):
  if i%2==0:#odd
    if s=="L":
      ans="No"
      break
  else:#even
    if s=="R":
      ans="No"
      break
print(ans)
Buggy code:
s = input()
even, odd = [], []
for i in range(len(s)):
    if i%2:
        odd.append(s[i])
    else:
        even.append(s[i])
e = list(set(odd))
o = list(set(even))
print('o: ',o,'e: ',e)
if('L' in o or 'R' in e):
    print('No')
else:
    print('Yes')

Fixed code:
s = input()
even, odd = [], []
for i in range(len(s)):
    if i%2:
        odd.append(s[i])
    else:
        even.append(s[i])
e = list(set(odd))
o = list(set(even))
if('L' in o or 'R' in e):
    print('No')
else:
    print('Yes')
Buggy code:
s=input()
k=len(s)
if all(s[i]==('U'or'D'or'R') for i in range(0,k,2)) and all(s[j]==('U'or'D'or'L') for j in range(1,k,2)):
  print('Yes')
else:
  print('No')

Fixed code:
s=input()
k=len(s)
if all([s[i] in ['U','D','R'] for i in range(0,k,2)]) and all([s[j] in ['U','D','L'] for j in range(1,k,2)]):
  print('Yes')
else:
  print('No')
Buggy code:
s=input()
x=0
for i in range(0,len(s),2):
  if s[i]="L":
    x+=1
    
for j in range(1,len(s),2):
  if s[j]="R":
    x+=1

if x==0:
  print("Yes")
else:
  print("No")


Fixed code:
s=input()
x=0
for i in range(0,len(s),2):
  if s[i]=="L":
    x+=1
    
for j in range(1,len(s),2):
  if s[j]=="R":
    x+=1

if x==0:
  print("Yes")
else:
  print("No")
Buggy code:
S = input()

evenS=[]
oddS=[]

for i in range(len(S)):
    if i%2 == 0:
        evenS.append(S[i])
    else:
        oddS.append(S[i])

if('R' in evenS) or ('L' in oddS):
    print('No')
else:
    print('Yes')

Fixed code:
S = input()

evenS=[]
oddS=[]

for i in range(len(S)):
    if i%2 == 0:
        oddS.append(S[i])
    else:
        evenS.append(S[i])

if('R' in evenS) or ('L' in oddS):
    print('No')
else:
    print('Yes')
Buggy code:
s = input()
id = 0
res = 'Yes'
for i in s:
    if id & 1 == 0 and i == 'L' or id & 1 == 1 and i == 'R':
        res = 'No'
        break
print(res)

Fixed code:
s = input()
id = 0
res = 'Yes'
for i in s:
    if id & 1 == 0 and i == 'L' or id & 1 == 1 and i == 'R':
        res = 'No'
        break
    id += 1
print(res)
Buggy code:
s = list(input())
e = [s[i] for i in range(len(s)) if i%2==0]
o = [s[i] for i in range(len(s)) if i%2!=0]
if e in 'L' or o in 'R':
  print('No')
else:
  print('Yes')


Fixed code:
s = list(input())
e = [s[i] for i in range(len(s)) if i%2==0]
o = [s[i] for i in range(len(s)) if i%2!=0]
if 'L' in e or 'R' in o:
  print('No')
else:
  print('Yes')
Buggy code:
S=input()
for i in range(len(S)):
    if i%2==0 and S[i]=="L" or i%2==1 and S[i]=="R":
        print("No")
else:
    print("Yes")

Fixed code:
S=input()
for i in range(len(S)):
    if i%2==0 and S[i]=="L" or i%2==1 and S[i]=="R":
        print("No")
        break
else:
    print("Yes")
Buggy code:
s = input()
ans = "Yes"
for i in range(len(s)):
    if i & 2 == 0 and s[i] == "L":
        ans = "No"
        break
    elif i & 2 != 0 and s[i] == "R":
        ans = "No"
        break
print(ans)


Fixed code:
s = input()
ans = "Yes"
for i in range(len(s)):
    if i % 2 == 0 and s[i] == "L":
        ans = "No"
        break
    elif i % 2 != 0 and s[i] == "R":
        ans = "No"
        break
print(ans)