Buggy python submission (verdict: Time Limit Exceeded):
import math
from collections import deque
memo = deque([1])
mcnt = 1
def fact(x):
    global memo,mcnt
    if x == 0: return 1
    while x > mcnt:
        memo.append(memo[-1] * (mcnt + 1))
        mcnt += 1
    return memo[x-1]

CONST = 1000000007
n,m = map(int,input().split())
lis = []
prev = -1
for _ in range(m):
    a = int(input())
    if prev + 1 == a:
        print(0)
        exit()
    lis.append(a-prev-2)
    prev = a
lis.append(n-prev-1)


ans = 1
for v in lis:
    if v == 0: continue
    way = 0
    for two in range(v//2+1):
        one = v - two * 2
        comb = (fact(one+two) // (fact(one) * fact(two))) % CONST
        way = (way + comb) % CONST
    ans = (ans * way) % CONST
print(ans)



Fixed submission:
import math
from collections import deque

memo = deque([1, 2])
floor = 1
def search(x):
    global memo, floor
    while x > floor:
        memo.append(memo[-1] + memo[-2])
        floor += 1
    return memo[x-1]

CONST = 1000000007
n,m = map(int,input().split())
lis = []
prev = -1
for _ in range(m):
    a = int(input())
    if prev + 1 == a:
        print(0)
        exit()
    lis.append(a-prev-2)
    prev = a
lis.append(n-prev-1)


ans = 1
for v in lis:
    if v == 0: continue
    ans = (ans * search(v)) % CONST
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import math
CONST = 1000000007
n,m = map(int,input().split())
lis = []
prev = -1
for _ in range(m):
    a = int(input())
    if prev + 1 == a:
        print(0)
        exit()
    lis.append(a-prev-2)
    prev = a
lis.append(n-prev-1)


ans = 1
for v in lis:
    if v == 0: continue
    way = 0
    for two in range(v//2+1):
        one = v - two * 2
        comb = (math.factorial(one+two) // (math.factorial(one) * math.factorial(two))) % CONST
        way = (way + comb) % CONST
    ans = (ans * way) % CONST
print(ans)


Fixed submission:
import math
from collections import deque

memo = deque([1, 2])
floor = 1
def search(x):
    global memo, floor
    while x > floor:
        memo.append(memo[-1] + memo[-2])
        floor += 1
    return memo[x-1]

CONST = 1000000007
n,m = map(int,input().split())
lis = []
prev = -1
for _ in range(m):
    a = int(input())
    if prev + 1 == a:
        print(0)
        exit()
    lis.append(a-prev-2)
    prev = a
lis.append(n-prev-1)


ans = 1
for v in lis:
    if v == 0: continue
    ans = (ans * search(v)) % CONST
print(ans)

Buggy python submission (verdict: Runtime Error):
import sys
n, m = map(int, input().split())

sys.setrecursionlimit(10**5)

breakstep = []

for _ in range(m):
    breakstep.append(int(input()))

sl = [-1 for _ in range(n+1)]

def solve(i):
    if sl[i] == -1:
        if i in breakstep:
            sl[i] = 0
        elif i in [0, 1]:
            sl[i] = 1
        else:
            sl[i] = (solve(i-1) + solve(i-2)) % 1000000007
    return sl[i]

print(solve(n))

Fixed submission:
import math
from collections import deque

memo = deque([1, 2])
floor = 1
def search(x):
    global memo, floor
    while x > floor:
        memo.append(memo[-1] + memo[-2])
        floor += 1
    return memo[x-1]

CONST = 1000000007
n,m = map(int,input().split())
lis = []
prev = -1
for _ in range(m):
    a = int(input())
    if prev + 1 == a:
        print(0)
        exit()
    lis.append(a-prev-2)
    prev = a
lis.append(n-prev-1)


ans = 1
for v in lis:
    if v == 0: continue
    ans = (ans * search(v)) % CONST
print(ans)

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

breakstep = []

for _ in range(m):
    breakstep.append(int(input()))

sl = [-1 for _ in range(n+1)]
def solve(i):
    if sl[i] == -1:
        if i in breakstep:
            sl[i] = 0
        elif i in [0, 1]:
            sl[i] = 1
        else:
            sl[i] = (solve(i-1) + solve(i-2)) % 1000000007
    return sl[i]

print(solve(n))

Fixed submission:
import math
from collections import deque

memo = deque([1, 2])
floor = 1
def search(x):
    global memo, floor
    while x > floor:
        memo.append(memo[-1] + memo[-2])
        floor += 1
    return memo[x-1]

CONST = 1000000007
n,m = map(int,input().split())
lis = []
prev = -1
for _ in range(m):
    a = int(input())
    if prev + 1 == a:
        print(0)
        exit()
    lis.append(a-prev-2)
    prev = a
lis.append(n-prev-1)


ans = 1
for v in lis:
    if v == 0: continue
    ans = (ans * search(v)) % CONST
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
n, m = map(int, input().split())

breakstep = []

for _ in range(m):
    breakstep.append(int(input()))

sl = [1]
def solve(i):
    global sl
    l = len(sl)
    if l < i+1:
        while l < i+1:
            if l in breakstep: 
                sl.append(0)
                l += 1
                continue
            elif l == 1:
                l += 1
                sl.append(1)
                continue
            sl.append((sl[l-1] + sl[l-2])%1000000007)
            l += 1
    return sl[i]

print(solve(n)%1000000007)

Fixed submission:
import math
from collections import deque

memo = deque([1, 2])
floor = 1
def search(x):
    global memo, floor
    while x > floor:
        memo.append(memo[-1] + memo[-2])
        floor += 1
    return memo[x-1]

CONST = 1000000007
n,m = map(int,input().split())
lis = []
prev = -1
for _ in range(m):
    a = int(input())
    if prev + 1 == a:
        print(0)
        exit()
    lis.append(a-prev-2)
    prev = a
lis.append(n-prev-1)


ans = 1
for v in lis:
    if v == 0: continue
    ans = (ans * search(v)) % CONST
print(ans)