Buggy python submission (verdict: Time Limit Exceeded):
#入力取得
from fractions import Fraction
import sys
sys.setrecursionlimit(15000)

def fibMul(fn1, fn2):
  a = fn1[0]
  b = fn1[1]
  c = fn2[0]
  d = fn2[1]
  return (a*c + 5*b*d, a*d + b*c)

def fibExp(fn, n):
  if (n == 0):
    return (Fraction(1), Fraction(1));
  if (n % 2 == 0):
    return fibExp(fibMul(fn, fn), n / 2);
  return fibMul(fn, fibExp(fn, n - 1));

def fibMin(fn1, fn2):
  a = fn1[0]
  b = fn1[1]
  c = fn2[0]
  d = fn2[1]
  return (a - c, b - d)

def fibMain(n):
  fibNum1 = (Fraction(1, 2), Fraction( 1, 2))
  fibNum2 = (Fraction(1, 2), Fraction(-1, 2))

  fibNum3 = fibMin(fibExp(fibNum1, n), fibExp(fibNum2, n))
  fibNum4 = (Fraction(0, 1), Fraction(1, 5))
  return fibMul(fibNum3, fibNum4)

def fib(n):
  return fibMain(n)[0].numerator





N, M = map(int, input().split())

a= []

for i in range(M):
    a.append(int(input()))

l = ["1"] * (N + 1)

for a_ele in a:
    l[a_ele] = "0"

l = ''.join(l)

# print(l)

if '00' in l:
    print(0)

else:
    l_arr = l.split('0')
    result = 1
    for l_ele in l_arr:
        result *= fib(len(l_ele))
        result = result % 1000000007

    print(result)


Fixed submission:
def fib(n):
    if n <= 1:
        return n
    result = [1, 0, 0, 1]
    matrix = [1, 1, 1, 0]
    while n > 0:
        if n % 2:
            result = mul(matrix, result)
        matrix = mul(matrix, matrix)
        n //= 2
    return result[2]

def mul(a, b):
    return [a[0]*b[0] + a[1]*b[2],
            a[0]*b[1] + a[1]*b[3],
            a[2]*b[0] + a[3]*b[2],
            a[2]*b[1] + a[3]*b[3]]





N, M = map(int, input().split())

a= []

for i in range(M):
    a.append(int(input()))

l = ["1"] * (N + 1)

for a_ele in a:
    l[a_ele] = "0"

l = ''.join(l)

# print(l)

if '00' in l:
    print(0)

else:
    l_arr = l.split('0')
    result = 1
    for l_ele in l_arr:
        result *= fib(len(l_ele))

        if result > 1000000007:
            result = result % 1000000007

    result = result % 1000000007

    print(result)

Buggy python submission (verdict: Time Limit Exceeded):
#入力取得
from fractions import Fraction
import sys
sys.setrecursionlimit(15000)

def fibMul(fn1, fn2):
  a = fn1[0]
  b = fn1[1]
  c = fn2[0]
  d = fn2[1]
  return (a*c + 5*b*d, a*d + b*c)

def fibExp(fn, n):
  if (n == 0):
    return (Fraction(1), Fraction(1));
  if (n % 2 == 0):
    return fibExp(fibMul(fn, fn), n / 2);
  return fibMul(fn, fibExp(fn, n - 1));

def fibMin(fn1, fn2):
  a = fn1[0]
  b = fn1[1]
  c = fn2[0]
  d = fn2[1]
  return (a - c, b - d)

def fibMain(n):
  fibNum1 = (Fraction(1, 2), Fraction( 1, 2))
  fibNum2 = (Fraction(1, 2), Fraction(-1, 2))

  fibNum3 = fibMin(fibExp(fibNum1, n), fibExp(fibNum2, n))
  fibNum4 = (Fraction(0, 1), Fraction(1, 5))
  return fibMul(fibNum3, fibNum4)

def fib(n):
  return fibMain(n)[0].numerator




N, M = map(int, input().split())

a= []

for i in range(M):
    a.append(int(input()))

l = ["1"] * (N + 1)

for a_ele in a:
    l[a_ele] = "0"

l = ''.join(l)

# print(l)

if '00' in l:
    print(0)

else:
    l_arr = l.split('0')
    result = 1
    for l_ele in l_arr:
        result *= fib(len(l_ele))

    result = result % 1000000007
    print(result)


Fixed submission:
def fib(n):
    if n <= 1:
        return n
    result = [1, 0, 0, 1]
    matrix = [1, 1, 1, 0]
    while n > 0:
        if n % 2:
            result = mul(matrix, result)
        matrix = mul(matrix, matrix)
        n //= 2
    return result[2]

def mul(a, b):
    return [a[0]*b[0] + a[1]*b[2],
            a[0]*b[1] + a[1]*b[3],
            a[2]*b[0] + a[3]*b[2],
            a[2]*b[1] + a[3]*b[3]]





N, M = map(int, input().split())

a= []

for i in range(M):
    a.append(int(input()))

l = ["1"] * (N + 1)

for a_ele in a:
    l[a_ele] = "0"

l = ''.join(l)

# print(l)

if '00' in l:
    print(0)

else:
    l_arr = l.split('0')
    result = 1
    for l_ele in l_arr:
        result *= fib(len(l_ele))

        if result > 1000000007:
            result = result % 1000000007

    result = result % 1000000007

    print(result)