Buggy python submission (verdict: Runtime Error):
B,W = map(int, input().split())
N = B+W

factorial = [1]
for i in range(N+1):
    factorial.append( factorial[-1] * (i+1) % mod)
# print(factorial)

mod = 10**9+7

de_factorial = [0] * (N+1)
de_factorial[N] = pow(  factorial[N] , mod-2, mod  )

for i in range( N, 0, -1):
    de_factorial[i-1] = de_factorial[i] * i % mod
    
def comb(n,r):
    if n < r: return 0
    if n == r: return 1
    return (factorial[n] * de_factorial[r] * de_factorial[n-r]) % mod


p = [0] * (N+1) # Bを食べきった確率
q = [0] * (N+1) # Wを食べきった確率

de2 = de_factorial[2]
for i in range(1, N+1):
    p[i] = p[i-1] + comb(i-1 ,B-1) * de2 % mod 
    q[i] = q[i-1] + comb(i-1 ,W-1) * de2  % mod 
    de2 = de2 * de_factorial[2] % mod

    tmp = ( q[i-1] + 1-p[i-1] ) * de_factorial[2] % mod
    
    print(tmp)

Fixed submission:
B,W = map(int, input().split())
N = B+W
mod = 10**9+7

factorial = [1]
for i in range(N+1):
    factorial.append( factorial[-1] * (i+1) % mod)
# print(factorial)



de_factorial = [0] * (N+1)
de_factorial[N] = pow(  factorial[N] , mod-2, mod  )

for i in range( N, 0, -1):
    de_factorial[i-1] = de_factorial[i] * i % mod
    
def comb(n,r):
    if n < r: return 0
    if n == r: return 1
    return (factorial[n] * de_factorial[r] * de_factorial[n-r]) % mod


p = [0] * (N+1) # Bを食べきった確率
q = [0] * (N+1) # Wを食べきった確率

de2 = de_factorial[2]
for i in range(1, N+1):
    p[i] = p[i-1] + comb(i-1 ,B-1) * de2 % mod 
    q[i] = q[i-1] + comb(i-1 ,W-1) * de2  % mod 
    de2 = de2 * de_factorial[2] % mod

    tmp = ( q[i-1] + 1-p[i-1] ) * de_factorial[2] % mod
    
    print(tmp)

Buggy python submission (verdict: Time Limit Exceeded):
B,W = map(int, input().split())
N = B+W

factorial = [1]
for i in range(N+1):
    factorial.append( factorial[-1] * (i+1))
# print(factorial)

mod = 10**9+7

de_factorial = [0] * (N+1)
de_factorial[N] = pow(  factorial[N] , mod-2, mod  )

for i in range( N, 0, -1):
    de_factorial[i-1] = de_factorial[i] * i % mod
    
def comb(n,r):
    if n < r: return 0
    if n == r: return 1
    return (factorial[n] * de_factorial[r] * de_factorial[n-r]) % mod


p = [0] * (N+1) # Bを食べきった確率
q = [0] * (N+1) # Wを食べきった確率

de2 = de_factorial[2]
for i in range(1, N+1):
    p[i] = p[i-1] + comb(i-1 ,B-1) * de2 % mod 
    q[i] = q[i-1] + comb(i-1 ,W-1) * de2  % mod 
    de2 = de2 * de_factorial[2] % mod

    tmp = ( q[i-1] + 1-p[i-1] ) * de_factorial[2] % mod
    
    print(tmp)

Fixed submission:
B,W = map(int, input().split())
N = B+W
mod = 10**9+7

factorial = [1]
for i in range(N+1):
    factorial.append( factorial[-1] * (i+1) % mod)
# print(factorial)



de_factorial = [0] * (N+1)
de_factorial[N] = pow(  factorial[N] , mod-2, mod  )

for i in range( N, 0, -1):
    de_factorial[i-1] = de_factorial[i] * i % mod
    
def comb(n,r):
    if n < r: return 0
    if n == r: return 1
    return (factorial[n] * de_factorial[r] * de_factorial[n-r]) % mod


p = [0] * (N+1) # Bを食べきった確率
q = [0] * (N+1) # Wを食べきった確率

de2 = de_factorial[2]
for i in range(1, N+1):
    p[i] = p[i-1] + comb(i-1 ,B-1) * de2 % mod 
    q[i] = q[i-1] + comb(i-1 ,W-1) * de2  % mod 
    de2 = de2 * de_factorial[2] % mod

    tmp = ( q[i-1] + 1-p[i-1] ) * de_factorial[2] % mod
    
    print(tmp)

Buggy python submission (verdict: Time Limit Exceeded):
B,W = map(int, input().split())
N = B+W

factorial = [1]
for i in range(N+1):
    factorial.append( factorial[-1] * (i+1))
# print(factorial)

mod = 10**9+7

de_factorial = [0] * (N+1)
de_factorial[N] = pow(  factorial[N] , mod-2, mod  )

for i in range( N, 0, -1):
    de_factorial[i-1] = de_factorial[i] * i
    
def comb(n,r):
    if n < r: return 0
    if n == r: return 1
    return (factorial[n] * de_factorial[r] * de_factorial[n-r]) % mod


p = [0] * (N+1) # Bを食べきった確率
q = [0] * (N+1) # Wを食べきった確率

de2 = de_factorial[2]
for i in range(1, N+1):
    p[i] = p[i-1] + comb(i-1 ,B-1) * de2 % mod 
    q[i] = q[i-1] + comb(i-1 ,W-1) * de2  % mod 
    de2 = de2 * de_factorial[2] % mod

    tmp = ( q[i-1] + 1-p[i-1] ) * de_factorial[2] % mod
    
    print(tmp)

Fixed submission:
B,W = map(int, input().split())
N = B+W
mod = 10**9+7

factorial = [1]
for i in range(N+1):
    factorial.append( factorial[-1] * (i+1) % mod)
# print(factorial)



de_factorial = [0] * (N+1)
de_factorial[N] = pow(  factorial[N] , mod-2, mod  )

for i in range( N, 0, -1):
    de_factorial[i-1] = de_factorial[i] * i % mod
    
def comb(n,r):
    if n < r: return 0
    if n == r: return 1
    return (factorial[n] * de_factorial[r] * de_factorial[n-r]) % mod


p = [0] * (N+1) # Bを食べきった確率
q = [0] * (N+1) # Wを食べきった確率

de2 = de_factorial[2]
for i in range(1, N+1):
    p[i] = p[i-1] + comb(i-1 ,B-1) * de2 % mod 
    q[i] = q[i-1] + comb(i-1 ,W-1) * de2  % mod 
    de2 = de2 * de_factorial[2] % mod

    tmp = ( q[i-1] + 1-p[i-1] ) * de_factorial[2] % mod
    
    print(tmp)

Buggy python submission (verdict: Time Limit Exceeded):
B,W = map(int, input().split())
N = B+W

factorial = [1]
for i in range(N+1):
    factorial.append( factorial[-1] * (i+1))
# print(factorial)

mod = 10**9+7

de_factorial = [0] * (N+1)
de_factorial[N] = pow(  factorial[N] , mod-2, mod  )

for i in range( N, 0, -1):
    de_factorial[i-1] = de_factorial[i] * i

# print(de_factorial)

def comb(n,r):
    if n < r: return 0
    if n == r: return 1
    return (factorial[n] * de_factorial[r] * de_factorial[n-r]) % mod


p = [0] * (N+1) # Bを食べきった確率
q = [0] * (N+1) # Wを食べきった確率

de2 = de_factorial[2]


# print(p)
# print(q)
for i in range(1, N+1):
    p[i] = p[i-1] + comb(i-1 ,B-1) * de2 % mod 
    q[i] = q[i-1] + comb(i-1 ,W-1) * de2  % mod 
    de2 = de2 * de_factorial[2] % mod

    tmp = 0
    tmp = ( q[i-1] + 1-p[i-1] ) * de_factorial[2] % mod
    

    print(tmp % mod)

Fixed submission:
B,W = map(int, input().split())
N = B+W
mod = 10**9+7

factorial = [1]
for i in range(N+1):
    factorial.append( factorial[-1] * (i+1) % mod)
# print(factorial)



de_factorial = [0] * (N+1)
de_factorial[N] = pow(  factorial[N] , mod-2, mod  )

for i in range( N, 0, -1):
    de_factorial[i-1] = de_factorial[i] * i % mod
    
def comb(n,r):
    if n < r: return 0
    if n == r: return 1
    return (factorial[n] * de_factorial[r] * de_factorial[n-r]) % mod


p = [0] * (N+1) # Bを食べきった確率
q = [0] * (N+1) # Wを食べきった確率

de2 = de_factorial[2]
for i in range(1, N+1):
    p[i] = p[i-1] + comb(i-1 ,B-1) * de2 % mod 
    q[i] = q[i-1] + comb(i-1 ,W-1) * de2  % mod 
    de2 = de2 * de_factorial[2] % mod

    tmp = ( q[i-1] + 1-p[i-1] ) * de_factorial[2] % mod
    
    print(tmp)

Buggy python submission (verdict: Time Limit Exceeded):
B,W = map(int, input().split())
N = B+W

factorial = [1]
for i in range(N+1):
    factorial.append( factorial[-1] * (i+1))
# print(factorial)

mod = 10**9+7

de_factorial = [0] * (N+1)
de_factorial[N] = pow(  factorial[N] , mod-2, mod  )

for i in range( N, 0, -1):
    de_factorial[i-1] = de_factorial[i] * i

# print(de_factorial)

def comb(n,r):
    if n < r: return 0
    if n == r: return 1
    return (factorial[n] * de_factorial[r] * de_factorial[n-r]) % mod


p = [0] * (N+1) # Bを食べきった確率
q = [0] * (N+1) # Wを食べきった確率

de2 = de_factorial[2]

for i in range(1, N+1):
    # 確率はこの表現で本当に正しいのか？
    # p[i-1] と comb(i,B)は排他事象 ではない気がする。
    # comb(i,B)でもi-1 でB食べきってしまう p[i-1] の確率が存在するので　
    p[i] = p[i-1] + comb(i-1 ,B-1) * de2 % mod 
    q[i] = q[i-1] + comb(i-1 ,W-1) * de2  % mod 
    de2 = de2 * de_factorial[2] % mod

# print(p)
# print(q)
for i in range(1, N+1):
    tmp = 0
    tmp = ( q[i-1] + 1-p[i-1] ) * de_factorial[2] % mod
    

    print(tmp % mod)

Fixed submission:
B,W = map(int, input().split())
N = B+W
mod = 10**9+7

factorial = [1]
for i in range(N+1):
    factorial.append( factorial[-1] * (i+1) % mod)
# print(factorial)



de_factorial = [0] * (N+1)
de_factorial[N] = pow(  factorial[N] , mod-2, mod  )

for i in range( N, 0, -1):
    de_factorial[i-1] = de_factorial[i] * i % mod
    
def comb(n,r):
    if n < r: return 0
    if n == r: return 1
    return (factorial[n] * de_factorial[r] * de_factorial[n-r]) % mod


p = [0] * (N+1) # Bを食べきった確率
q = [0] * (N+1) # Wを食べきった確率

de2 = de_factorial[2]
for i in range(1, N+1):
    p[i] = p[i-1] + comb(i-1 ,B-1) * de2 % mod 
    q[i] = q[i-1] + comb(i-1 ,W-1) * de2  % mod 
    de2 = de2 * de_factorial[2] % mod

    tmp = ( q[i-1] + 1-p[i-1] ) * de_factorial[2] % mod
    
    print(tmp)

Buggy python submission (verdict: Time Limit Exceeded):
B,W = map(int, input().split())
N = B+W

factorial = [1]
for i in range(N+1):
    factorial.append( factorial[-1] * (i+1))
# print(factorial)

mod = 10**9+7

de_factorial = [0] * (N+1)
de_factorial[N] = pow(  factorial[N] , mod-2, mod  )

for i in range( N, 0, -1):
    de_factorial[i-1] = de_factorial[i] * i

# print(de_factorial)

def comb(n,r):
    if n < r: return 0
    if n == r: return 1
    return (factorial[n] * de_factorial[r] * de_factorial[n-r]) % mod


p = [0] * (N+1) # Bを食べきった確率
q = [0] * (N+1) # Wを食べきった確率

de2 = de_factorial[2]

for i in range(1, N+1):
    # 確率はこの表現で本当に正しいのか？
    # p[i-1] と comb(i,B)は排他事象 ではない気がする。
    # comb(i,B)でもi-1 でB食べきってしまう p[i-1] の確率が存在するので　
    p[i] = p[i-1] + comb(i-1 ,B-1) * de2 % mod 
    q[i] = q[i-1] + comb(i-1 ,W-1) * de2  % mod 
    de2 = de2 * de_factorial[2] % mod

# print(p)
# print(q)
for i in range(1, N+1):
    tmp = 0
    tmp = ( q[i-1] + 1-p[i-1] ) * de_factorial[2] % mod
    

    print(tmp % mod)

Fixed submission:
B,W = map(int, input().split())
N = B+W
mod = 10**9+7

factorial = [1]
for i in range(N+1):
    factorial.append( factorial[-1] * (i+1) % mod)
# print(factorial)



de_factorial = [0] * (N+1)
de_factorial[N] = pow(  factorial[N] , mod-2, mod  )

for i in range( N, 0, -1):
    de_factorial[i-1] = de_factorial[i] * i % mod
    
def comb(n,r):
    if n < r: return 0
    if n == r: return 1
    return (factorial[n] * de_factorial[r] * de_factorial[n-r]) % mod


p = [0] * (N+1) # Bを食べきった確率
q = [0] * (N+1) # Wを食べきった確率

de2 = de_factorial[2]
for i in range(1, N+1):
    p[i] = p[i-1] + comb(i-1 ,B-1) * de2 % mod 
    q[i] = q[i-1] + comb(i-1 ,W-1) * de2  % mod 
    de2 = de2 * de_factorial[2] % mod

    tmp = ( q[i-1] + 1-p[i-1] ) * de_factorial[2] % mod
    
    print(tmp)

Buggy python submission (verdict: Time Limit Exceeded):
B,W = map(int, input().split())
N = B+W

factorial = [1]
for i in range(N+1):
    factorial.append( factorial[-1] * (i+1))
# print(factorial)

mod = 10**9+7

de_factorial = [0] * (N+1)
de_factorial[N] = pow(  factorial[N] , mod-2, mod  )

for i in range( N, 0, -1):
    de_factorial[i-1] = de_factorial[i] * i

# print(de_factorial)

def comb(n,r):
    if n < r: return 0
    if n == r: return 1
    return (factorial[n] * de_factorial[r] * de_factorial[n-r]) % mod


p = [0] * (N+1) # Bを食べきった確率
q = [0] * (N+1) # Wを食べきった確率

for i in range(1, N+1):
    # 確率はこの表現で本当に正しいのか？
    # p[i-1] と comb(i,B)は排他事象 ではない気がする。
    # comb(i,B)でもi-1 でB食べきってしまう p[i-1] の確率が存在するので　
    p[i] = p[i-1] + comb(i-1 ,B-1) * pow(de_factorial[2], i, mod)
    q[i] = q[i-1] + comb(i-1 ,W-1) * pow(de_factorial[2], i, mod)

# print(p)
# print(q)
for i in range(1, N+1):
    tmp = 0
    tmp = ( q[i-1] + 1-p[i-1] ) * de_factorial[2] % mod
    

    print(tmp % mod)

Fixed submission:
B,W = map(int, input().split())
N = B+W
mod = 10**9+7

factorial = [1]
for i in range(N+1):
    factorial.append( factorial[-1] * (i+1) % mod)
# print(factorial)



de_factorial = [0] * (N+1)
de_factorial[N] = pow(  factorial[N] , mod-2, mod  )

for i in range( N, 0, -1):
    de_factorial[i-1] = de_factorial[i] * i % mod
    
def comb(n,r):
    if n < r: return 0
    if n == r: return 1
    return (factorial[n] * de_factorial[r] * de_factorial[n-r]) % mod


p = [0] * (N+1) # Bを食べきった確率
q = [0] * (N+1) # Wを食べきった確率

de2 = de_factorial[2]
for i in range(1, N+1):
    p[i] = p[i-1] + comb(i-1 ,B-1) * de2 % mod 
    q[i] = q[i-1] + comb(i-1 ,W-1) * de2  % mod 
    de2 = de2 * de_factorial[2] % mod

    tmp = ( q[i-1] + 1-p[i-1] ) * de_factorial[2] % mod
    
    print(tmp)