Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
from collections import deque
N,M = map(int,input().split())
P = list(map(int,input().split()))
P.insert(0,0)
G = {i:[] for i in range(1,N+1)}
for _ in range(M):
    x,y = map(int,input().split())
    G[x].append(y)
    G[y].append(x)
A = []
hist = [0 for _ in range(N+1)]
for i in range(1,N+1):
    if hist[i]==0:
        C = [i]
        hist[i]=1
        que = deque([i])
        while que:
            x = que.popleft()
            for y in G[x]:
                if hist[y]==0:
                    que.append(y)
                    C.append(y)
                    hist[y]=1
        C = sorted(C)
        A.append(C)
cnt = 0
for C in A:
    B = []
    for c in C:
        B.append(P[c])
    B = sorted(B)
    cur = 0
    for i in range(len(C)):
        if C[i]==B[cur]:
            cnt += 1
            cur += 1
        elif C[i]<B[cur]:
            continue
        elif C[i]>B[cur]:
            while C[i]>B[cur]:
                cur += 1
            if B[cur]==C[i]:
                cnt += 1
            else:
                continue
print(cnt)

Fixed submission:
from bisect import bisect_left
def rt(i):
    while i!=G[i][0]:
        i = G[i][0]
    return i
N,M = map(int,input().split())
P = list(map(int,input().split()))
P.insert(0,0)
G = {i:[i,1] for i in range(1,N+1)}
for _ in range(M):
    x,y = map(int,input().split())
    rx = rt(x)
    ry = rt(y)
    if rx!=ry:
        if G[rx][1]>=G[ry][1]:
            G[ry][0] = rx
            G[rx][1] += G[ry][1]
        else:
            G[rx][0] = ry
            G[ry][1] += G[rx][1]
hist = [0 for _ in range(N+1)]
A = {}
for i in range(1,N+1):
    ri = rt(i)
    if hist[ri]==0:
        A[ri] = []
        hist[ri] = 1
    A[ri].append(i)
cnt = 0
for a in A:
    B = []
    for i in range(len(A[a])):
        B.append(P[A[a][i]])
    B = sorted(B)
    B.append(10**8)
    cur = 0
    for i in range(len(A[a])):
        if A[a][i]==B[cur]:
            cnt += 1
        elif A[a][i]<B[cur]:
            continue
        else:
            cur = bisect_left(B,A[a][i])
            if B[cur]==A[a][i]:
                cnt += 1
                cur += 1
print(cnt)
Buggy python submission (verdict: Runtime Error):
D = sorted(list(map(int,input().split())))
A,B,C = D
if (C-B)%2==0 and (B-A)%2==0:
    n = (C-B)//2+(C-A)//2
elif (C-B)%2==1 and (B-A)%2==0:
    n = (B-A)//2+(C-B)
elif (C-B)%2==0 and (B-A)%2==1:
    n = (C-B)//2+1 +(C+1-A)//2
elif (C-B)%2==1 and (B-A%2==1):
    n = 1+(C-B-1)//2+(C-A-1)//2
print(n)

Fixed submission:
A = sorted(list(map(int,input().split())))
a,b,c = A[0],A[1],A[2]
if (b-a)%2==0:
    cnt = (b-a)//2+c-b
else:
    cnt = 1+(b+1-a)//2+c-b
print(cnt)
Buggy python submission (verdict: Runtime Error):
A = list(map(int,input().split()))
A.insert(0,0)
tot = 0
for i in range(1,N+1):
    tot += abs(A[i]-A[i-1])
tot += abs(A[0]-A[N])
for i in range(1,N):
    a = tot-abs(A[i]-A[i-1])-abs(A[i+1]-A[i])+abs(A[i+1]-A[i-1])
    print(a)
a = tot-abs(A[N]-A[N-1])-abs(0-A[N])+abs(0-A[N-1])
print(a)

Fixed submission:
N = int(input())
A = list(map(int,input().split()))
A.insert(0,0)
tot = abs(A[1])+abs(A[N])
for i in range(2,N+1):
    tot += abs(A[i]-A[i-1])
for i in range(1,N+1):
    if i==1:
        print(tot-abs(A[1])-abs(A[2]-A[1])+abs(A[2]))
    elif i==N:
        print(tot-abs(A[N])-abs(A[N]-A[N-1])+abs(A[N-1]))
    else:
        print(tot-abs(A[i]-A[i-1])-abs(A[i+1]-A[i])+abs(A[i+1]-A[i-1]))
Buggy python submission (verdict: Runtime Error):
N = int(input())
S = list(map(int,input().split()))
ind = 0
for i in range(N):
    if S[i]=="Y":
        ind = 1
        break
if ind==1:
    print("Four")
else:
    print("three")

Fixed submission:
N = int(input())
S = list(input().split())
ind = 0
for i in range(N):
    if S[i]=="Y":
        ind = 1
        break
if ind==1:
    print("Four")
else:
    print("Three")
Buggy python submission (verdict: Runtime Error):
N = int(input())
A = [list(map(int,input().split())) for _ in range(2)]
B = [0 for _ in range(N+1)]
for i in range(1,N+1):
    B[i] = B[i-1]+A[0][i-1]
C = [0 for _ in range(N+1)]
for i in range(1,N):
    C[i] = C[i-1]+A[1][i-1]
cmax = 0
for i in range(N):
    a = A[i+1]+B[N]-B[i]
    cmax = max(cmax,)
print(cmax)

Fixed submission:
N = int(input())
A = [list(map(int,input().split())) for _ in range(2)]
B = [0 for _ in range(N+1)]
for i in range(1,N+1):
    B[i] = B[i-1]+A[0][i-1]
C = [0 for _ in range(N+1)]
for i in range(1,N+1):
    C[i] = C[i-1]+A[1][i-1]
cmax = 0
for i in range(N):
    a = B[i+1]+C[N]-C[i]
    cmax = max(cmax,a)
print(cmax)
Buggy python submission (verdict: Runtime Error):
import math
K = int(input())
A = list(map(int,input().split()))
if A[N-1]!=2:
    print(-1)
elif K==1:
    print(2,3)
else:
    nmin = 2
    nmax = 2+A[K-1]-1
    flag = 0
    for i in range(K-2,-1,-1):
        b = A[i]
        nmin = math.ceil(nmin/b)*b
        nmax = math.floor(nmax/b)*b
        if nmin>nmax:
            flag = 1
            break
        nmax += b-1
    if flag==1:
        print(-1)
    else:
        print(nmin,nmax)

Fixed submission:
K = int(input())
A = list(map(int,input().split()))
B = [2,2]
for i in range(K-1,-1,-1):
    a = A[i]
    bmin = B[0]
    bmax = B[1]
    if bmin%a==0:
        bmin = bmin
    else:
        bmin = (bmin//a+1)*a
    if bmin>bmax:
        B = []
        break
    else:
        if bmax%a==0:
            bmax = bmax+a-1
        else:
            bmax = (bmax//a)*a+a-1
        B = [bmin,bmax]
if len(B)==0:
    print(-1)
else:
    print(B[0],B[1])

Buggy python submission (verdict: Time Limit Exceeded):
K = int(input())
A = list(map(int,input().split()))
B = [2]
for i in range(K-1,-1,-1):
    a = A[i]
    C = []
    for b in B:
        if b%a==0:
            C.append(b)
    B = []
    if len(C)==0:break
    for c in C:
        for j in range(a):
            if c+j not in B:
                B.append(c+j)
if len(B)==0:
    print(-1)
else:
    B = sorted(B)
    print(B[0],B[-1])

Fixed submission:
K = int(input())
A = list(map(int,input().split()))
B = [2,2]
for i in range(K-1,-1,-1):
    a = A[i]
    bmin = B[0]
    bmax = B[1]
    if bmin%a==0:
        bmin = bmin
    else:
        bmin = (bmin//a+1)*a
    if bmin>bmax:
        B = []
        break
    else:
        if bmax%a==0:
            bmax = bmax+a-1
        else:
            bmax = (bmax//a)*a+a-1
        B = [bmin,bmax]
if len(B)==0:
    print(-1)
else:
    print(B[0],B[1])
Buggy python submission (verdict: Runtime Error):
D = ["A","B","H","I","K","R"]
C = {a:0 for a in D}
C = {"X":0}
S = input().strip()
for i in range(len(S)):
    if S[i] in D:
        C[S[i]] += 1
    else:
        C["X"] += 1
if C["A"]<=4 and C["B"]==1 and C["H"]==1 and C["I"]==1 and C["K"]==1 and C["R"]==1 and C["X"]==0:
    print("YES")
else:
    print("NO")

Fixed submission:
from itertools import product
S = input().strip()
x = ["","K","I","H","","B","","R",""]
y = [0,4,6,8]
flag=0
for z in product((0,1),repeat=4):
    x1 = x[:]
    for i in range(4):
        if z[i]==1:
            x1[y[i]] = "A"
    x1 = "".join(x1)
    if x1==S:
        flag=1
        break
if flag==1:
    print("YES")
else:
    print("NO")
Buggy python submission (verdict: Runtime Error):
memo = {}
def L(n):
    if n==0:
        return 2
    elif n==1:
        return 1
    elif n in memo:
        return memo[n]
    memo[n] = L[n-1]+L[n-2]
    return memo[n]
print(L(int(input())))

Fixed submission:
memo = {}
def L(n):
    if n==0:
        return 2
    elif n==1:
        return 1
    elif n in memo:
        return memo[n]
    memo[n] = L(n-1)+L(n-2)
    return memo[n]
print(L(int(input())))

Buggy python submission (verdict: Runtime Error):
memo = {}
def L(n):
    if n==0:
        return 2
    elif n==1:
        return 1
    elif n in memo:
        return memo[n]
    memo[n] = memo[n-1]+memo[n-2]
    return memo[n]
print(L(int(input())))

Fixed submission:
memo = {}
def L(n):
    if n==0:
        return 2
    elif n==1:
        return 1
    elif n in memo:
        return memo[n]
    memo[n] = L(n-1)+L(n-2)
    return memo[n]
print(L(int(input())))
Buggy python submission (verdict: Runtime Error):
H,W = map(int,input().split())
B = [list(map(int,input().split())) for _ in range(10)]
A = [list(map(int,input().split())) for _ in range(H)]

for i in range(10):
    for j in range(10):
        for k in range(10):
            B[i][j] = min(B[i][j],B[i][k]+B[k][j])
G = {i:0 for i in range(-1,10)}
for i in range(H):
    for j in range(W):
        G[A[i][j]] += 1
cnt = 0
for i in range(2,10):
    cnt += G[i]*C[i][1]
print(cnt)

Fixed submission:
INFTY = 10**4
H,W = map(int,input().split())
C = [list(map(int,input().split())) for _ in range(10)]
A = [list(map(int,input().split())) for _ in range(H)]

d = [[INFTY for _ in range(10)] for _ in range(10)]
for i in range(10):
    for j in range(10):
        d[i][j] = C[i][j]
for k in range(10):
    for i in range(10):
        for j in range(10):
            d[i][j] = min(d[i][j],d[i][k]+d[k][j])

cnt = 0
for i in range(H):
    for j in range(W):
        if A[i][j]>-1:
            cnt += d[A[i][j]][1]
print(cnt)
Buggy python submission (verdict: Runtime Error):
X,Y = input().strip()
if X>Y:
    print(">")
elif Y<X:
    print("<")
else:
    print("=")

Fixed submission:
X,Y = input().strip().split()
if X>Y:
    print(">")
elif X<Y:
    print("<")
else:
    print("=")
Buggy python submission (verdict: Runtime Error):
memof = {}
def f(x,y,i):
    if i==N-1:
        return abs(A[N-1]-y)
    if (x,y,i) in memof:
        return memo[(x,y,i)]
    b = abs(A[N-1]-y)
    for j in range(i,N-1):
        b = max(b,g(A[j],y,j+1))
    memof[(x,y,i)]=b
    return b
memog = {}
def g(x,y,i):
    if i==N-1:
        return abs(x-A[N-1])
    if (x,y,i) in memog:
        return memog[(x,y,i)]
    b = abs(x-A[N-1])
    for j in range(i,N-1):
        b = min(b,f(x,A[j],j+1))
    memog[(x,y,i)] = b
    return b
N,Z,W = map(int,input().split())
A = list(map(int,input().split()))
print(f(Z,W,0))

Fixed submission:
N,Z,W = map(int,input().split())
A = list(map(int,input().split()))
if N>=2:
    print(max(abs(A[-1]-A[-2]),abs(A[-1]-W)))
else:
    print(abs(A[0]-W))

Buggy python submission (verdict: Runtime Error):
def f(x,y,i):
    if i==N-1:
        return abs(A[N-1]-y)
    b = abs(A[N-1]-y)
    for j in range(i,N-1):
        b = max(b,g(A[j],y,j+1))
    return b
def g(x,y,i):
    if i==N-1:
        return abs(x-A[N-1])
    b = abs(x-A[N-1])
    for j in range(i,N-1):
        b = min(b,f(x,A[j],j+1))
    return b
N,Z,W = map(int,input().split())
A = list(map(int,input().split()))
print(f(Z,W,0))

Fixed submission:
N,Z,W = map(int,input().split())
A = list(map(int,input().split()))
if N>=2:
    print(max(abs(A[-1]-A[-2]),abs(A[-1]-W)))
else:
    print(abs(A[0]-W))
Buggy python submission (verdict: Time Limit Exceeded):
from bisect import bisect_right
N = int(input())
A = sorted(list(map(int,input().split())))
B = sorted(list(map(int,input().split())))
C = sorted(list(map(int,input().split())))
cnt = 0
for i in range(N):
    a = A[i]
    indB = bisect_right(B,a)
    for j in range(indB,N):
        indC = bisect_right(C,B[j])
        cnt += N-indC
print(cnt)

Fixed submission:
from bisect import bisect_right
N = int(input())
A = sorted(list(map(int,input().split())))
B = sorted(list(map(int,input().split())))
C = sorted(list(map(int,input().split())))
F = [0 for _ in range(N+1)]
for i in range(N-1,-1,-1):
    b = B[i]
    indC = bisect_right(C,b)
    if i<N-1:
        indC1 = bisect_right(C,B[i+1])
    else:
        indC1 = N
    F[i] = F[i+1]+indC1-indC
G = [0 for _ in range(N+1)]
for i in range(N-1,-1,-1):
    G[i] = G[i+1]+F[i]
cnt = 0
for i in range(N):
    a = A[i]
    indB = bisect_right(B,a)
    cnt += G[indB]
print(cnt)
Buggy python submission (verdict: Runtime Error):
N = int(input())
D = sorted(list(map(int,input().split())))
M = int(input())
T = sorted(list(map(int,input().split())))
cur = 0
flag = 0
for i in range(N):
    if cur<M and D[i]==T[cur]:
        cur += 1
    elif D[i]<T[cur]:
        continue
    else:
        flag = 1
        break
if flag==0:
    print("YES")
else:
    print("NO")

Fixed submission:
N = int(input())
D = sorted(list(map(int,input().split())))
M = int(input())
T = sorted(list(map(int,input().split())))
cur = 0
flag = 0
for i in range(N):
    if cur<M and D[i]==T[cur]:
        cur += 1
    elif cur<M and D[i]<T[cur]:
        continue
    elif cur==M:
        break
    else:
        flag = 1
        break
if flag==0:
    print("YES")
else:
    print("NO")
Buggy python submission (verdict: Runtime Error):
N,M,K = map(int,input().split())
if N==1 and M==1:
    flag = 1
elif N==1 and M>1:
    if K<=M:
        flag = 1
    else:
        flag = 0
elif N>1 and m==1:
    if K<=N:
        flag = 1
    else:
        flag = 0
else:
    flag = 0
    for i in range(N):
        for j in range(M):
            if M*i+N*j-2*i*j==K:
                flag = 1
                break
        if flag==1:break
if flag==1:
    print("Yes")
else:
    print("No")

Fixed submission:
N,M,K = map(int,input().split())
flag = 0
if (N*M)%2==0 and K==(N*M)//2:
    flag = 1
else:
    y = 0
    while y<=N:
        if N-2*y!=0 and (K-M*y)%(N-2*y)==0 and M>=(K-M*y)//(N-2*y)>=0:
            flag = 1
            break
        y += 1
if flag==1:
    print("Yes")
else:
    print("No")
Buggy python submission (verdict: Runtime Error):
H,W = map(int,input().split())
A = [list(input()) for _ in range(H)]
C = {chr(i):0 for i in range(97,123)}
for i in range(H):
    for j in range(W):
        C[A[i][j]] += 1
if H%2==0 and W%2==0:
    flag = 0
    for a in C:
        if C[a]%4!=0:
            flag = 1
            break
elif H%2==0 and W%2==1 or H%2==1 and W%2==0:
    flag = 0
    for a in C:
        if (C[a]%4)%2!=0:
            flag = 1
        break
else:
    flag = 0
    cnt = 0
    for a in C:
        if C[a]%2==1:
            cnt += 1
    if cnt!=1:
        flag = 1
if flag==0:
    Print("Yes")
else:
    print("No")

Fixed submission:
H,W = map(int,input().split())
C = {chr(i):0 for i in range(97,123)}
for _ in range(H):
    s = input().strip()
    for j in range(W):
        C[s[j]] += 1
ind1 = 0
for i in range(97,123):
    if C[chr(i)]==1:
        ind1 = C[chr(i)]
D = {0:0, 1:0, 2:0,3:0}
D1 = {0:0,1:0,2:0,3:0}
for c in C:
    D[C[c]%4] += 1
    D1[C[c]%4] += C[c]
if H%2==0 and W%2==0:
    if D[1]==0 and D[2]==0 and D[3]==0:
        flag = "Yes"
    else:
        flag = "No"
elif H%2==0 and W%2==1:
    if D[1]+D[3]>0:
        flag = "No"
    else:
        m = H//2
        if m>=D[2]:
            flag = "Yes"
        else:
            flag = "No"
elif H%2==1 and W%2==0:
    if D[1]+D[3]>0:
        flag = "No"
    else:
        m = W//2
        if m>=D[2]:
            flag = "Yes"
        else:
            flag = "No"
else:
    if D[1]+D[3]!=1:
        flag = "No"
    else:
        m = (H+W-1)//2
        if m>=D[2]:
            flag = "Yes"
        else:
            flag = "No"
print(flag)
Buggy python submission (verdict: Runtime Error):
N = int(input())
K = int(input())
X = list(map(int,input().split()))
cnt = 0
for i in range(N):
    cnt += 2*min(K-x,x)
print(cnt)

Fixed submission:
N = int(input())
K = int(input())
X = list(map(int,input().split()))
cnt = 0
for i in range(N):
    x = X[i]
    cnt += 2*min(K-x,x)
print(cnt)
Buggy python submission (verdict: Time Limit Exceeded):
import heapq
INFTY = 10**12
def dist(cur,b):
    d = [INFTY for _ in range(N)]
    d[cur[1]] = 0
    hist = [0 for _ in range(N)]
    hist[cur[1]] = 1
    heap = [cur]
    while heap:
        cur = heapq.heappop(heap)
        hist[cur[1]] = 1
        for x in B[cur[1]]:
            if hist[x[1]]==0:
                if d[x[1]]>cur[0]+x[0]:
                    d[x[1]] = cur[0]+x[0]
                    heapq.heappush(heap,(d[x[1]],x[1]))
    return d[b]
N = int(input())
A = {(i,j):INFTY for i in range(N) for j in range(N)}
for i in range(N):
    row = list(map(int,input().split()))
    for j in range(N):
        A[(i,j)] = row[j]
G = list(A.items())
G = sorted(G,key=lambda x:x[1])
B = {i:[] for i in range(N)}
ind = 0
for x in G:
    a,b = x[0][0],x[0][1]
    d = x[1]
    if d>0:
        dmin = dist([0,a],b)
#         print("dmin({},{})={}".format(a,b,dmin))
        if dmin>d:
            if (d,b) not in B[a]:
                B[a].append((d,b))
            if (d,a) not in B[b]:
                B[b].append((d,a))
        elif d>dmin:
            ind = 1
            break
#         print("B={}".format(B))
if ind==1:
    print(-1)
else:
    cnt = 0
    for a in B:
        for x in B[a]:
            cnt += x[0]
    print(cnt//2)

Fixed submission:
N = int(input())
A = [list(map(int,input().split())) for _ in range(N)]
cnt = 0
for i in range(N-1):
    for j in range(i+1,N):
        amin = 10**10
        for k in range(N):
            if k!=i and k!=j:
                amin = min(amin,A[i][k]+A[k][j])
        if A[i][j]>amin:
            cnt = -1
            break
        elif A[i][j]<amin:
            cnt += A[i][j]
    if cnt==-1:break
print(cnt)
Buggy python submission (verdict: Runtime Error):
N = int(input())
A = [list(map(int,input()).split()) for _ in range(N)]
cnt = 0
for i in range(N):
    l,r = A[i]
    cnt += r-l+1
print(cnt)

Fixed submission:
N = int(input())
cnt = 0
for _ in range(N):
    l,r = map(int,input().split())
    cnt += r-l+1
print(cnt)
Buggy python submission (verdict: Runtime Error):
N = int(input())
A = list(map(int,input().split()))
A = sorted(A)
flag = 1
cur0 = 0
cur1 = 0
cur2 = 0
cnt = 0
for i in range(1,N):
    if A[i]>A[i-1]:
        flag += 1
        if flag==1:
            cur1 = i
        elif flag==2:
            cur2 = i
        elif flag==3:
            cnt = max(cnt,i-cur0)
            cur0 = cur1
            cur1 = cur2
            flag -= 1
            cur2 = i
cnt = max(cnt,n-cur0)
print(cnt)

Fixed submission:
from bisect import bisect_left,bisect_right
N = int(input())
A = sorted(list(map(int,input().split())))
G = {i:0 for i in range(10**5)}
cntmax = 0
for i in range(10**5):
    ind0 = bisect_left(A,i-1)
    ind1 = bisect_right(A,i+1)
    cntmax = max(cntmax,ind1-ind0)
print(cntmax)

Buggy python submission (verdict: Runtime Error):
N = int(input())
A = list(map(int,input().split()))
A = sorted(A)
flag = 1
cur0 = 0
cur1 = 0
cur2 = 0
cnt = 0
for i in range(1,N):
    if A[i]>A[i-1]:
        flag += 1
        if flag==1:
            cur1 = i
        elif flag==2:
            cur2 = i
        elif flag==3:
            cnt = max(cnt,i-cur0)
            cur0 = cur1
            cur1 = cur2
            flag -= 1
            cur2 = i
#     print("cnt({})={}".format(i,cnt))
cnt = max(cnt,n-cur0)
print(cnt)

Fixed submission:
from bisect import bisect_left,bisect_right
N = int(input())
A = sorted(list(map(int,input().split())))
G = {i:0 for i in range(10**5)}
cntmax = 0
for i in range(10**5):
    ind0 = bisect_left(A,i-1)
    ind1 = bisect_right(A,i+1)
    cntmax = max(cntmax,ind1-ind0)
print(cntmax)
Buggy python submission (verdict: Runtime Error):
A,B,C,D = map(int,input().split())
if C<=A:
    if D>=B:
        print(B-A)
    elif A<=D:
        print(D-A)
    else:
        print(0)
elif C<=B:
    if D<=B:
        print(D-C)
    else:
        print(B-C)
    else:
        print(0)
else:
    print(0)

Fixed submission:
A,B,C,D = map(int,input().split())
if C<=A:
    if D>=B:
        print(B-A)
    elif A<=D:
        print(D-A)
    else:
        print(0)
elif C<=B:
    if D<=B:
        print(D-C)
    else:
        print(B-C)
else:
    print(0)
Buggy python submission (verdict: Runtime Error):
def put(i):
    global n,row,cur
    if cur[0]>W-1 or cur[0]<0:
        B.append(row)
        row = ["." for _ in range(W)]
        if cur==[-1,"L"]:
            cur = [0,"R"]
        elif cur==[W,"R"]:
            cur = [W-1,"L"]
    if n==0:
        return
    row[cur[0]] = i
    n -= 1
    if cur[1]=="R":
        cur[0] += 1
    elif cur[1]=="L":
        cur[0] -= 1
    put(i)
        
H,W = map(int,input().split())
N = int(input())
A = list(map(int,input().split()))
A.insert(0,0)
B = []
row = ["." for _ in range(W)]
cur = [0,"R"]
for i in range(1,N+1):
    n = A[i]
    put(i)
    
for i in range(H):
    print(*B[i])

Fixed submission:
def put(i):
    global n,row,cur
    while n>0:
        row[cur[0]] = i
        n -= 1
        if cur[1]=="R":
            cur[0] += 1
        elif cur[1]=="L":
            cur[0] -= 1
        if cur[0]>W-1 or cur[0]<0:
            B.append(row)
            row = ["." for _ in range(W)]
        if cur==[-1,"L"]:
            cur = [0,"R"]
        elif cur==[W,"R"]:
            cur = [W-1,"L"]
        
H,W = map(int,input().split())
N = int(input())
A = list(map(int,input().split()))
A.insert(0,0)
B = []
row = ["." for _ in range(W)]
cur = [0,"R"]
for i in range(1,N+1):
    n = A[i]
    put(i)
    
for i in range(H):
    print(*B[i])

Buggy python submission (verdict: Runtime Error):
def put(i,n):
    global row,cur
    if cur[0]>W-1 or cur[0]<0:
        B.append(row)
        row = ["." for _ in range(W)]
        if cur==[-1,"L"]:
            cur = [0,"R"]
        elif cur==[W,"R"]:
            cur = [W-1,"L"]
    if n==0:
        return
    row[cur[0]] = i
    n -= 1
    if cur[1]=="R":
        cur[0] += 1
    elif cur[1]=="L":
        cur[0] -= 1
    put(i,n)
        
H,W = map(int,input().split())
N = int(input())
A = list(map(int,input().split()))
A.insert(0,0)
B = []
row = ["." for _ in range(W)]
cur = [0,"R"]
for i in range(1,N+1):
    n = A[i]
    put(i,n)
    
for i in range(H):
    print(*B[i])

Fixed submission:
def put(i):
    global n,row,cur
    while n>0:
        row[cur[0]] = i
        n -= 1
        if cur[1]=="R":
            cur[0] += 1
        elif cur[1]=="L":
            cur[0] -= 1
        if cur[0]>W-1 or cur[0]<0:
            B.append(row)
            row = ["." for _ in range(W)]
        if cur==[-1,"L"]:
            cur = [0,"R"]
        elif cur==[W,"R"]:
            cur = [W-1,"L"]
        
H,W = map(int,input().split())
N = int(input())
A = list(map(int,input().split()))
A.insert(0,0)
B = []
row = ["." for _ in range(W)]
cur = [0,"R"]
for i in range(1,N+1):
    n = A[i]
    put(i)
    
for i in range(H):
    print(*B[i])
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
kmax = 0
for i in range(1,N+1):
    k = 0
    while i%2**k==0:
        i = i//2
        k += 1
    kmax = max(kmax,k)
print(kmax)

Fixed submission:
import math
N = int(input())
if abs(math.log2(N)-round(math.log2(N)))<1e-8:
    n = round(math.log2(N))
else:
    n = int(math.log2(N))
print(2**n)
Buggy python submission (verdict: Runtime Error):
import numpy as np
K = int(input())
N = 50
A = np.array([np.zeros(N) for _ in range(N)]).astype(int)
for i in range(N):
    for j in range(N):
        A[i,j] = 1 if j==i+1 else 0
A[N-1,0] = 1
B = [0 for _ in range(N)]
B[0] = np.identity(N).astype(int)
for i in range(1,N):
    B[i] = np.dot(B[i-1],A).astype(int)
C = [0 for _ in range(N)]
C[0] = np.identity(N).astype(int)
for i in range(1,N):
    C[i] = (C[i-1]+B[i]).astype(int)
print(N)
X = np.arange(N)
X = X[::-1].astype(int)
if K==0:
    print(*X)
else:
    r = (K-1)%N
    q = (K-1)//N
    b = [-1 for _ in range(N)]
    b[0] = N
    b = np.array(b).astype(int)
    X = np.dot(X,B[(r+1)%N])
    X += np.dot(b,q*C[N-1]+C[r])
    print(*X)

Fixed submission:
import numpy as np
K = int(input())
N = 50
A = np.array([np.zeros(N) for _ in range(N)]).astype(int)
for i in range(N):
    for j in range(N):
        A[i,j] = 1 if j==i+1 else 0
A[N-1,0] = 1
B = [0 for _ in range(N)]
B[0] = np.identity(N).astype(int)
for i in range(1,N):
    B[i] = np.dot(B[i-1],A).astype(int)
C = [0 for _ in range(N)]
C[0] = np.identity(N).astype(int)
for i in range(1,N):
    C[i] = (C[i-1]+B[i]).astype(int)
print(N)
X = np.arange(N)
X = X[::-1].astype(int)
if K==0:
    print(*X)
else:
    r = (K-1)%N
    q = (K-1)//N
    b = [-1 for _ in range(N)]
    b[0] = N
    b = np.array(b).astype(int)
    X = np.dot(X,B[(r+1)%N])
    X += np.dot(b,q*C[N-1]+C[r])
    print(*X)
Buggy python submission (verdict: Runtime Error):
N,P = map(int,input().split())
A = list(map(int,input().strip()))
cnt = 0
for i in range(N):
    cnt += A[i]%2
print(2**(N-1))

Fixed submission:
N,P = map(int,input().split())
A = list(map(int,input().split()))
cnt = 0
for i in range(N):
    cnt += A[i]%2
if cnt>0:
    print(2**(N-1))
elif P==1:
    print(0)
else:
    print(2**N)