Buggy python submission (verdict: Runtime Error):
n, m = (int(xi) for xi in input().split())

a = []
diff = []
a0 = 0
a1 = int(input())
a.append(a1)
diff.append(a1+1)

if m>1:
    for xi in range(m-1):
        a0 = a1
        a1 = int(input())
        a.append(a1)
        diff.append(a1-a0)

if a1==n-1:
    diff.append(n-a1+1)
else:
    diff.append(n-a1+1)

# print(diff)
# print(a)

p = [0]
p.append(1)
p.append(1)
for xi in range(3,max(diff)+2):
    add = (p[xi-1]+p[xi-2])%1_000_000_007
    p.append(add)

# print(p)

# print(len(diff))
out = 1
for xi in range(len(diff)):
    out *= p[diff[xi]-1]

print(out% 1_000_000_007 )


Fixed submission:
n, m = (int(xi) for xi in input().split())

a = []
diff = []
a0 = 0
if m>0:
    a1 = int(input())
    a.append(a1)
    diff.append(a1+1)

    if m>1:
        for xi in range(m-1):
            a0 = a1
            a1 = int(input())
            a.append(a1)
            diff.append(a1-a0)

    if a1==n-1:
        diff.append(n-a1+1)
    else:
        diff.append(n-a1+1)


else:
    if n==1: diff.append(n+1)
    diff.append(n+2)

# print(diff)
# print(a)

p = [0]
p.append(1)
p.append(1)
for xi in range(3,max(diff)+2):
    add = (p[xi-1]+p[xi-2])%1_000_000_007
    p.append(add)

# print(p)

# print(len(diff))
out = 1
for xi in range(len(diff)):
    out *= p[diff[xi]-1]

print(out% 1_000_000_007 )

Buggy python submission (verdict: Runtime Error):
n, m = (int(xi) for xi in input().split())

a = []
diff = []
a0 = 0
a1 = int(input())
a.append(a1)
diff.append(a1+1)

if m>1:
    for xi in range(m-1):
        a0 = a1
        a1 = int(input())
        a.append(a1)
        diff.append(a1-a0)

if a1==n-1:
    diff.append(n-a1+1)
else:
    diff.append(n-a1+1)

# print(diff)
# print(a)

p = [0]
p.append(1)
p.append(1)
for xi in range(3,max(diff)):
    add = (p[xi-1]+p[xi-2])%1_000_000_007
    p.append(add)

# print(p)

# print(len(diff))
out = 1
for xi in range(len(diff)+2):
    out *= p[diff[xi]-1]

print(out% 1_000_000_007 )


Fixed submission:
n, m = (int(xi) for xi in input().split())

a = []
diff = []
a0 = 0
if m>0:
    a1 = int(input())
    a.append(a1)
    diff.append(a1+1)

    if m>1:
        for xi in range(m-1):
            a0 = a1
            a1 = int(input())
            a.append(a1)
            diff.append(a1-a0)

    if a1==n-1:
        diff.append(n-a1+1)
    else:
        diff.append(n-a1+1)


else:
    if n==1: diff.append(n+1)
    diff.append(n+2)

# print(diff)
# print(a)

p = [0]
p.append(1)
p.append(1)
for xi in range(3,max(diff)+2):
    add = (p[xi-1]+p[xi-2])%1_000_000_007
    p.append(add)

# print(p)

# print(len(diff))
out = 1
for xi in range(len(diff)):
    out *= p[diff[xi]-1]

print(out% 1_000_000_007 )

Buggy python submission (verdict: Runtime Error):
n, m = (int(xi) for xi in input().split())

a = []
diff = []
a0 = 0
a1 = int(input())
a.append(a1)
diff.append(a1+1)

if m>1:
    for xi in range(m-1):
        a0 = a1
        a1 = int(input())
        a.append(a1)
        diff.append(a1-a0)

if a1==n-1:
    diff.append(n-a1+1)
else:
    diff.append(n-a1+1)

# print(diff)
# print(a)

p = [0]
p.append(1)
p.append(1)
for xi in range(3,max(diff)):
    add = (p[xi-1]+p[xi-2])%1_000_000_007
    p.append(add)

# print(p)

# print(len(diff))
out = 1
for xi in range(len(diff)):
    out *= p[diff[xi]-1]

print(out% 1_000_000_007 )


Fixed submission:
n, m = (int(xi) for xi in input().split())

a = []
diff = []
a0 = 0
if m>0:
    a1 = int(input())
    a.append(a1)
    diff.append(a1+1)

    if m>1:
        for xi in range(m-1):
            a0 = a1
            a1 = int(input())
            a.append(a1)
            diff.append(a1-a0)

    if a1==n-1:
        diff.append(n-a1+1)
    else:
        diff.append(n-a1+1)


else:
    if n==1: diff.append(n+1)
    diff.append(n+2)

# print(diff)
# print(a)

p = [0]
p.append(1)
p.append(1)
for xi in range(3,max(diff)+2):
    add = (p[xi-1]+p[xi-2])%1_000_000_007
    p.append(add)

# print(p)

# print(len(diff))
out = 1
for xi in range(len(diff)):
    out *= p[diff[xi]-1]

print(out% 1_000_000_007 )

Buggy python submission (verdict: Runtime Error):
n, m = (int(xi) for xi in input().split())

a = []
diff = []
a0 = 0
a1 = int(input())
a.append(a1)
diff.append(a1+1)

if m>1:
    for xi in range(m-1):
        a0 = a1
        a1 = int(input())
        a.append(a1)
        diff.append(a1-a0)

if a1==n-1:
    diff.append(n-a1+1)
else:
    diff.append(n-a1+1)

# print(diff)
# print(a)

p = [0]
p.append(1)
p.append(1)
for xi in range(3,n-m):
    p.append(p[xi-1]+p[xi-2])

# print(p)

# print(len(diff))
out = 1
for xi in range(len(diff)):
    out *= p[diff[xi]-1]

print(out% 1_000_000_007 )


Fixed submission:
n, m = (int(xi) for xi in input().split())

a = []
diff = []
a0 = 0
if m>0:
    a1 = int(input())
    a.append(a1)
    diff.append(a1+1)

    if m>1:
        for xi in range(m-1):
            a0 = a1
            a1 = int(input())
            a.append(a1)
            diff.append(a1-a0)

    if a1==n-1:
        diff.append(n-a1+1)
    else:
        diff.append(n-a1+1)


else:
    if n==1: diff.append(n+1)
    diff.append(n+2)

# print(diff)
# print(a)

p = [0]
p.append(1)
p.append(1)
for xi in range(3,max(diff)+2):
    add = (p[xi-1]+p[xi-2])%1_000_000_007
    p.append(add)

# print(p)

# print(len(diff))
out = 1
for xi in range(len(diff)):
    out *= p[diff[xi]-1]

print(out% 1_000_000_007 )

Buggy python submission (verdict: Runtime Error):
n, m = (int(xi) for xi in input().split())

a = []
diff = []
a0 = 0
a1 = int(input())
a.append(a1)
diff.append(a1+1)

for xi in range(m-1):
    a0 = a1
    a1 = int(input())
    a.append(a1)
    diff.append(a1-a0)

if a1==n-1:
    diff.append(n-a1+1)
else:
    diff.append(n-a1+1)

# print(diff)
# print(a)

p = [0]
p.append(1)
p.append(1)
for xi in range(3,n-m):
    p.append(p[xi-1]+p[xi-2])

# print(p)

# print(len(diff))
out = 1
for xi in range(len(diff)):
    out *= p[diff[xi]-1]

print(out% 1_000_000_007 )


Fixed submission:
n, m = (int(xi) for xi in input().split())

a = []
diff = []
a0 = 0
if m>0:
    a1 = int(input())
    a.append(a1)
    diff.append(a1+1)

    if m>1:
        for xi in range(m-1):
            a0 = a1
            a1 = int(input())
            a.append(a1)
            diff.append(a1-a0)

    if a1==n-1:
        diff.append(n-a1+1)
    else:
        diff.append(n-a1+1)


else:
    if n==1: diff.append(n+1)
    diff.append(n+2)

# print(diff)
# print(a)

p = [0]
p.append(1)
p.append(1)
for xi in range(3,max(diff)+2):
    add = (p[xi-1]+p[xi-2])%1_000_000_007
    p.append(add)

# print(p)

# print(len(diff))
out = 1
for xi in range(len(diff)):
    out *= p[diff[xi]-1]

print(out% 1_000_000_007 )

Buggy python submission (verdict: Runtime Error):
import math

def comb(n, r):
    return math.factorial(n) // (math.factorial(n - r) * math.factorial(r))

n, m = (int(xi) for xi in input().split())

a = []
diff = 0
a0 = 0
a1 = 0
for xi in range(m):
    a0 = a1
    a1 = int(input())
    a.append(a1)
    if a1-a0>diff :
        diff=a1-a0

print(comb(n,diff))
print(diff)
print(a)

p = [1]
for xi in range(1,diff+1):
    p[xi] = 1
    for j in range(1, int(xi/2)):
        p[xi] += comb(xi-j,j)


Fixed submission:
n, m = (int(xi) for xi in input().split())

a = []
diff = []
a0 = 0
if m>0:
    a1 = int(input())
    a.append(a1)
    diff.append(a1+1)

    if m>1:
        for xi in range(m-1):
            a0 = a1
            a1 = int(input())
            a.append(a1)
            diff.append(a1-a0)

    if a1==n-1:
        diff.append(n-a1+1)
    else:
        diff.append(n-a1+1)


else:
    if n==1: diff.append(n+1)
    diff.append(n+2)

# print(diff)
# print(a)

p = [0]
p.append(1)
p.append(1)
for xi in range(3,max(diff)+2):
    add = (p[xi-1]+p[xi-2])%1_000_000_007
    p.append(add)

# print(p)

# print(len(diff))
out = 1
for xi in range(len(diff)):
    out *= p[diff[xi]-1]

print(out% 1_000_000_007 )