Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
N,K = list(map(int,input().split()))
PRR = list(map(int,input().split()))


def calculate(n, k, prr):

    maxSum = 0
    for i in range(n-k+1):
        sum = 0
        for j in range(k):
            sum = sum + (prr[i+j])

        if sum > maxSum:
            maxSum = sum


    print((k+maxSum)/2)


calculate(N, K, PRR)


Fixed submission:
N,K = list(map(int,input().split()))
PRR = list(map(int,input().split()))

# N = 10
# K = 4
# PRR = [17, 13, 13, 12, 15, 20, 10, 13, 17, 11]
#
# N = 5
# K = 3
# PRR = [1, 2, 2, 4, 5]

def calculate(n, k, prr):

    sumarr = []
    for i in range(n):
        if len(sumarr) == 0:
            sumarr.append(prr[0])
        else:
            sumarr.append(sumarr[-1] + prr[i])

    maxSum = []

    for i in range(k-1,n):

        if i - k < 0:
            sss = sumarr[i] - 0
        else:
            sss = sumarr[i] - sumarr[i - k]
        maxSum.append(sss)

    print((k+max(maxSum))/2)


calculate(N, K, PRR)
Buggy python submission (verdict: Time Limit Exceeded):
import math

# H, N = 9, 3
# ARR = [
#     [8, 3],
#     [4, 2],
#     [2, 1]
# ]
#
#
# H, N = 100, 6
# ARR = [
#     [1, 1],
#     [2, 3],
#     [3, 9],
#     [4, 27],
#     [5, 81],
#     [6, 243]
# ]
#

H, N = map(int, input().split())
ARR = []

for i in range(N):
    ARR.append(list(map(int, input().split())))


def calculate(h, n, arr):
    brr = [math.inf] * (h+1)
    brr[0] = 0

    for i in range(h + 1):
        for j in range(n):

            damage = arr[j][0]
            cost = arr[j][1]

            nextDamage = i + damage

            if nextDamage > h:
                nextDamage = h

            nextCost = min(brr[i] + cost, brr[nextDamage])

            brr[nextDamage] = nextCost

    print(brr[-1])


calculate(H, N, ARR)


Fixed submission:
import math

# H, N = 9, 3
# ARR = [
#     [8, 3],
#     [4, 2],
#     [2, 1]
# ]
#
#
# H, N = 100, 6
# ARR = [
#     [1, 1],
#     [2, 3],
#     [3, 9],
#     [4, 27],
#     [5, 81],
#     [6, 243]
# ]
#

H, N = map(int, input().split())
ARR = []

for i in range(N):
    ARR.append(list(map(int, input().split())))


def calculate(h, n, arr):
    brr = [math.inf] * (h+1)
    brr[0] = 0

    for i in range(h + 1):
        for j in range(n):

            damage = arr[j][0]
            cost = arr[j][1]

            nextDamage = i + damage

            if nextDamage > h:
                nextDamage = h

            nextCost = min(brr[i] + cost, brr[nextDamage])

            brr[nextDamage] = nextCost

    print(brr[-1])


calculate(H, N, ARR)

Buggy python submission (verdict: Time Limit Exceeded):
import math

# H, N = 9, 3
# ARR = [
#     [8, 3],
#     [4, 2],
#     [2, 1]
# ]
#
#
# H, N = 100, 6
# ARR = [
#     [1, 1],
#     [2, 3],
#     [3, 9],
#     [4, 27],
#     [5, 81],
#     [6, 243]
# ]
#

H,N = map(int,input().split())
ARR = []

for i in range(N):
    ARR.append(list(map(int,input().split())))


def calculate(h, n, arr):
    brr = []
    for i in range(h + 1):
        brr.append(math.inf)

    brr[0] = 0

    for i in range(h + 1):
        for j in range(n):

            damage = arr[j][0]
            cost = arr[j][1]

            nextDamage = i + damage

            if nextDamage > h:
                nextDamage = h

            nextCost = min(brr[i]+cost, brr[nextDamage])

            brr[nextDamage] = nextCost

    print(brr[-1])


calculate(H, N, ARR)


Fixed submission:
import math

# H, N = 9, 3
# ARR = [
#     [8, 3],
#     [4, 2],
#     [2, 1]
# ]
#
#
# H, N = 100, 6
# ARR = [
#     [1, 1],
#     [2, 3],
#     [3, 9],
#     [4, 27],
#     [5, 81],
#     [6, 243]
# ]
#

H, N = map(int, input().split())
ARR = []

for i in range(N):
    ARR.append(list(map(int, input().split())))


def calculate(h, n, arr):
    brr = [math.inf] * (h+1)
    brr[0] = 0

    for i in range(h + 1):
        for j in range(n):

            damage = arr[j][0]
            cost = arr[j][1]

            nextDamage = i + damage

            if nextDamage > h:
                nextDamage = h

            nextCost = min(brr[i] + cost, brr[nextDamage])

            brr[nextDamage] = nextCost

    print(brr[-1])


calculate(H, N, ARR)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())


def calculate(n):
    result = 0
    for i in range(0, 10):
        for j in range(0, 10):

            s1 = 0

            s2 = 0

            for index in range(1, n + 1):

                if i != 0:
                    if (int(str(index)[-1]) == j) and (int(str(index)[0]) == i):
                        s1 += 1

                if j != 0:
                    if (int(str(index)[-1]) == i) and (int(str(index)[0]) == j):
                        s2 += 1

            result += s1 * s2

    print(result)
calculate(N)


Fixed submission:
N = int(input())

# N = 25

def calculate(n):
    result = {}

    for index in range(1, n + 1):

        i = int(str(index)[0])
        j = int(str(index)[-1])
        if result.get((i, j)) == None:
            if i != 0:
                result.__setitem__((i, j), 1)
        else:
            result.__setitem__((i, j), result.get((i, j)) + 1)

    res = 0
    for i in range(10):
        for j in range(10):
            s1 = result.get((i, j))
            s2 = result.get((j, i))

            s1 = 0 if s1 == None else s1
            s2 = 0 if s2 == None else s2

            res += s1 * s2

    print(res)


calculate(N)
Buggy python submission (verdict: Runtime Error):
N = int(input())
P = list(map(int,input().split()))
Q = list(map(int,input().split()))

def calculate(n,p,q):
    x = 0
    y = 0

    for index,ar in enumerate(itertools.permutations([i for i in range(1,n+1)],n)):
        if list(ar) == list(p):
            x = index

        if list(ar) == list(q):
            y = index

    if x >= y:
        print(x-y)
    else:
        print(y-x)
calculate(N,P,Q)

Fixed submission:
import itertools
# N = 3
# P = [1, 3, 2]
# Q = [3, 1, 2]
#
# N = 8
# P = [7, 3, 5, 4, 2, 1, 6, 8]
# Q = [3, 8, 2, 5, 4, 6, 7, 1]
#
#
# N = 3
# P = [1, 2, 3]
# Q = [1, 2, 3]

N = int(input())
P = list(map(int,input().split()))
Q = list(map(int,input().split()))

def calculate(n,p,q):
    x = 0
    y = 0

    for index,ar in enumerate(itertools.permutations([i for i in range(1,n+1)],n)):
        if list(ar) == list(p):
            x = index

        if list(ar) == list(q):
            y = index

    if x >= y:
        print(x-y)
    else:
        print(y-x)
calculate(N,P,Q)
Buggy python submission (verdict: Runtime Error):
import math

A, B = map(int, input().split())

res = math.gcd(A, B)

print(int(A*B / res))


Fixed submission:
import fractions

A, B = map(int, input().split())

res = fractions.gcd(A, B)

print(int(A*B / res))
Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque
pf={}
res = []
m= int(input())
for i in range(2,int(m**0.5)+1):
    while m%i==0:
        pf[i]=pf.get(i,0)+1
        res.append(i)
        m//=i
if m>1:
    res.append(m)
    pf[m]=1

cgg = deque()
for index in range(2**len(res)):

    s1 = 1
    s2 = 1
    for j in range(len(res)):
        if (index >> j & 1) == 1:
            s1 = s1 * res[j]
        else:
            s2 = s2 * res[j]

    cgg.append(s1-1 + s2 - 1)


print(min(cgg))




Fixed submission:
import math

N = 10000000019
N = 50
N = 10
N = int(input())

result = []
for i in range(1, math.ceil(math.sqrt(N))+1):
    if N % i == 0:
        result.append((i + (N // i)) - 2)

print(min(result))

Buggy python submission (verdict: Time Limit Exceeded):
pf={}
res = []
m= int(input())
for i in range(2,int(m**0.5)+1):
    while m%i==0:
        pf[i]=pf.get(i,0)+1
        res.append(i)
        m//=i
if m>1:
    res.append(m)
    pf[m]=1

cgg = []
for index in range(2**len(res)):

    s1 = 1
    s2 = 1
    for j in range(len(res)):
        if (index >> j & 1) == 1:
            s1 = s1 * res[j]
        else:
            s2 = s2 * res[j]

    cgg.append(s1-1 + s2 - 1)


print(min(cgg))




Fixed submission:
import math

N = 10000000019
N = 50
N = 10
N = int(input())

result = []
for i in range(1, math.ceil(math.sqrt(N))+1):
    if N % i == 0:
        result.append((i + (N // i)) - 2)

print(min(result))
Buggy python submission (verdict: Time Limit Exceeded):
import math


# 最大公约数
def zuidagongyueshu(x, y):
    if y % x == 0:
        return x

    if x % y == 0:
        return y

    if x < y:
        return zuidagongyueshu(y % x, x)
    else:
        return zuidagongyueshu(x % y, y)


# 分解质因数
# 30 = 2*3*5
# 60 = (2,2)*3*5
# 420 = (2,2)*3*5*7
# 1260 = (2,2)*(3,2)*5*7
# 6300 = (2,2)*(3,2)*(5,2)*7

container = []
def fenjiezhiyinshu(x):
    for i in range(1, x + 1):
        if i == 1:
            continue
        else:
            flag = False
            while x % i == 0:
                x = int(x / i)
                flag = True

            if flag:
                container.append(i)
                return fenjiezhiyinshu(x)

S = input().split(' ')
arr = list(map(int, list(S)))
fenjiezhiyinshu(zuidagongyueshu(arr[0],arr[1]))
print(len(container)+1)




Fixed submission:
A, B = map(int,input().split())

def yinshufenjie(m):
    pf = {}
    for i in range(2, int(m ** 0.5) + 1):
        while m % i == 0:
            pf[i] = pf.get(i, 0) + 1
            m //= i
    if m > 1: pf[m] = 1
    return pf


def calculate(a,b):
    s1 = yinshufenjie(a)
    s2 = yinshufenjie(b)

    set1 = set()
    set2 = set()
    for key in s1.keys():
        set1.add(key)

    for key in s2.keys():
        set2.add(key)

    a = set1 & set2
    print(len(a)+1)


calculate(A,B)
Buggy python submission (verdict: Runtime Error):
def max(arr):
    max = arr[0]
    for i in range(len(arr)):
        if arr[i] > max:
            max = arr[i]
    return max

def calculate(arr,n):

    start = 0
    ret = []

    for i in range(n):
        if i == 0:
            continue
        else:
            if arr[i] > arr[i-1]:
                ret.append(i-1-start)
                start = i

            if i == (len(arr) - 1):
                ret.append(i - start)
    return ret

N = int(input())
S = input().split()
arr = list(map(int, list(S)))

ret = max(calculate(arr,N))
print(ret)

Fixed submission:
def max(arr):
    if len(arr) == 0:
        return 0
    max = arr[0]
    for i in range(len(arr)):
        if arr[i] > max:
            max = arr[i]
    return max

def calculate(arr,n):

    if len(arr) == 0:
        return []

    start = 0
    ret = []

    for i in range(n):
        if i == 0:
            continue
        else:
            if arr[i] > arr[i-1]:
                ret.append(i-1-start)
                start = i

            if i == (len(arr) - 1):
                ret.append(i - start)
    return ret

N = int(input())
S = input().split()
arr = list(map(int, list(S)))

ret = max(calculate(arr,N))
print(ret)
Buggy python submission (verdict: Time Limit Exceeded):
def ccc(n):
    #c(n,2)
    result = (n * (n-1))//2
    return result

def calculate(arr):
    if len(arr) == 0:
        return 0

    if len(arr) == 1:
        return 0

    criteron = arr[0]
    res = [0]

    nextarr = []

    for i in range(1,len(arr)):
        if tellIsTheSame(criteron,arr[i]):
            res.append(i)
        else:
            nextarr.append(arr[i])

    return ccc(len(res)) + calculate(nextarr)

def tellIsTheSame(s1,s2):
    s1 = list(s1)
    s2 = list(s2)

    s1.sort()
    s2.sort()

    length = len(s1)

    for i in range(length):
        if s1[i] != s2[i]:
            return False

    return True


arr = []

N = int(input())
for i in range(N):
    arr.append(input())


result = calculate(arr)
print(result)

Fixed submission:
def ccc(n):
    #c(n,2)
    result = (n * (n-1))//2
    return result



def sortString(a):
    a = list(a)
    a.sort()
    return "".join(a)


def calculate(arr):
    if len(arr) == 0:
        return 0

    dict = {}
    for i in range(len(arr)):
        s = sortString(arr[i])
        if dict.get(s) == None:
            dict.setdefault(s,1)
        else:
            dict.__setitem__(s,dict.get(s) + 1)


    sum = 0
    for v in dict.values():
        sum += ccc(v)

    return sum



arr = []

N = int(input())
for i in range(N):
    arr.append(input())


result = calculate(arr)
print(result)
Buggy python submission (verdict: Time Limit Exceeded):
def calculate(arr):
    arr2 = rank(arr.copy())

    max = arr2[len(arr2) - 1]
    second = arr2[len(arr2) - 2]

    for i in range(len(arr)):
        value = arr[i]
        if max != value:
            print(max)
        else:
            print(second)



def rank(arr):
    lastIndex = len(arr) - 1
    while lastIndex > 0:

        for i in range(lastIndex):
            if arr[i + 1] < arr[i]:
                tmp = arr[i + 1]
                arr[i + 1] = arr[i]
                arr[i] = tmp

        lastIndex = lastIndex - 1

    return arr



N = int(input())
arr = []
for i in range(N):
    arr.append(int(input()))

calculate(arr)



Fixed submission:
def calculate(arr):

    largest,second = findLargetAndSecond(arr)

    for i in range(len(arr)):
        value = arr[i]
        if largest != value:
            print(largest)
        else:
            print(second)


def findLargetAndSecond(arr):
    largest = 0
    second = 0

    for i in range(0,len(arr)):
        if arr[i] > largest:
            second = largest
            largest = arr[i]
        else:
            if arr[i] >= second:
                second = arr[i]

    return largest,second



N = int(input())
arr = []
for i in range(N):
    arr.append(int(input()))

calculate(arr)
Buggy python submission (verdict: Time Limit Exceeded):
def calculate(arr,S):

    result = []
    even = 0
    for i in range(len(arr)):

        if i % 2 == 0:
            even = S-calculate2(i+1,arr[i+1:])
            result.append(even)
        else:
            odd = arr[i-1]*2-even
            result.append(odd)
            S = S - even - odd

    return result

def calculate2(i,arr):
    # 取偶数项
    return sum(arr[::2])*2

def calculateTotaAmount(arr):
    return sum(arr)

def printArr(arr):
    result = ""
    for i in range(len(arr)):
        result += str(arr[i]) + " "

    return result



N = int(input())

S = input().split(" ")
aArr = [int(s) for s in S]


result = calculate(aArr,calculateTotaAmount(aArr))

print(" ".join([str(s) for s in result]))



Fixed submission:
def calculate(N, arr, S):
    result = []
    tmp = 0
    for i in range(len(arr)):
        if i % 2 == 1:
            tmp += arr[i] * 2

    x0 = S - tmp

    result.append(x0)

    for i in range(1, N):
        result.append(arr[i - 1] * 2 - result[i - 1])

    return result


def calculate2(i, arr):
    # 取偶数项
    return sum(arr[::2]) * 2


def calculateTotaAmount(arr):
    return sum(arr)


def printArr(arr):
    result = ""
    for i in range(len(arr)):
        result += str(arr[i]) + " "

    return result



N = int(input())

S = input().split(" ")
aArr = [int(s) for s in S]

result = calculate(N, aArr, calculateTotaAmount(aArr))
print(" ".join([str(s) for s in result]))

Buggy python submission (verdict: Time Limit Exceeded):
def calculate(arr,S):

    result = []
    even = 0
    for i in range(len(arr)):

        if i % 2 == 0:
            even = S-calculate2(i+1,arr[i+1:])
            result.append(even)
        else:
            odd = arr[i-1]*2-even
            result.append(odd)
            S = S - even - odd

    return result

def calculate2(i,arr):
    # 取偶数项
    result = 0
    for i in range(len(arr)):
        if i % 2 == 0:
            result += arr[i]
    return result * 2

def calculateTotaAmount(arr):
    return sum(arr)

def printArr(arr):
    result = ""
    for i in range(len(arr)):
        result += str(arr[i]) + " "

    return result



N = int(input())

S = input().split(" ")
aArr = [int(s) for s in S]


result = calculate(aArr,calculateTotaAmount(aArr))

print(" ".join([str(s) for s in result]))

Fixed submission:
def calculate(N, arr, S):
    result = []
    tmp = 0
    for i in range(len(arr)):
        if i % 2 == 1:
            tmp += arr[i] * 2

    x0 = S - tmp

    result.append(x0)

    for i in range(1, N):
        result.append(arr[i - 1] * 2 - result[i - 1])

    return result


def calculate2(i, arr):
    # 取偶数项
    return sum(arr[::2]) * 2


def calculateTotaAmount(arr):
    return sum(arr)


def printArr(arr):
    result = ""
    for i in range(len(arr)):
        result += str(arr[i]) + " "

    return result



N = int(input())

S = input().split(" ")
aArr = [int(s) for s in S]

result = calculate(N, aArr, calculateTotaAmount(aArr))
print(" ".join([str(s) for s in result]))
Buggy python submission (verdict: Time Limit Exceeded):
def calculate(arr):
    length = len(arr)
    s1 = (length // 2) - 1
    s2 = (length // 2)

    if arr[s2] == arr[s1]:
        return 0
    else:
        return arr[s2] - arr[s1]


def rank(arr):
    lastIndex = len(arr) - 1
    while lastIndex > 0:

        for i in range(lastIndex):
            if arr[i + 1] < arr[i]:
                tmp = arr[i + 1]
                arr[i + 1] = arr[i]
                arr[i] = tmp

        lastIndex = lastIndex - 1

    return arr

N = int(input())

if N == 0:
    result = 0
else:
    arr = rank([int(s) for s in  input().split(" ")])
    result = calculate(arr)

print(result)


Fixed submission:
def calculate(arr):
    length = len(arr)
    s1 = (length // 2) - 1
    s2 = (length // 2)

    if arr[s2] == arr[s1]:
        return 0
    else:
        return arr[s2] - arr[s1]

N = int(input())

if N == 0:
    result = 0
else:
    list = list([int(s) for s in  input().split(" ")])
    list.sort()
    result = calculate(list)

print(result)
Buggy python submission (verdict: Runtime Error):
from scipy import misc

def cnk(n,k):
    return int(misc.comb(n,k))


# import scipy.special
# def cnk(n,k):
#     return int(scipy.special.comb(n,k))

def calculate(n,k):
    # 1. 在n+1个缝隙上，选择i个地方 Cn+1,i

    # 2. 在i个地方，放入k个球 C(k-1),(i-1)

    for i in range(1,k+1):

        a1 = cnk(n-k+1,i)
        a2 = cnk(k-1,i-1)
        print((a1 * a2) % (1000000000+7))


S = input().split(" ")

N = int(S[0])
K = int(S[1])

calculate(N,K)

Fixed submission:
from scipy import misc

def cnk(n,k):
    return misc.comb(n,k,exact=True)


# import scipy.special
# def cnk(n,k):
#     return int(scipy.special.comb(n,k))

def calculate(n,k):
    # 1. 在n+1个缝隙上，选择i个地方 Cn+1,i

    # 2. 在i个地方，放入k个球 C(k-1),(i-1)

    for i in range(1,k+1):

        a1 = cnk(n-k+1,i)
        a2 = cnk(k-1,i-1)
        print((a1 * a2) % (1000000000+7))


S = input().split(" ")

N = int(S[0])
K = int(S[1])

calculate(N,K)
Buggy python submission (verdict: Runtime Error):
import math

def smallestCommon(x,y):
    return (x * y) // math.gcd(x,y)


def caluclate(a, b, c, d):

    s1 = 2 if a / c < 2 else int(a / c)
    s2 = 2 if b / c < 2 else int(b / c)
    s3 = 2 if a / d < 2 else int(a / d)
    s4 = 2 if b / d < 2 else int(b / d)



    m1 = s2 - s1 + 1
    m2 = s4 - s3 + 1
    m3 = 0
    common = smallestCommon(c,d)
    commonB = common / c

    m3 = (s2 //commonB) - (s1 // commonB)

    return int(b - a + 1 - (m1 + m2 - m3))


S = input().split(" ")
A = int(S[0])
B = int(S[1])
C = int(S[2])
D = int(S[3])

result = caluclate(A,B,C,D)

print(result)



Fixed submission:
import fractions
def smallestCommon(a,b):
    return a*b/fractions.gcd(a,b)

def caluclate(a, b, c, d):

    s1 = (a - 1) // c
    s2 = (a - 1) // d

    m1 = s2 + s1

    s3 = b // c
    s4 = b // d

    m2 = s4 + s3

    common = int(smallestCommon(c,d))

    m3 = (b // common) - (a-1)//common

    total = int(b - a + 1)

    return total - (m2 - m1 - m3)


S = input().split(" ")
A = int(S[0])
B = int(S[1])
C = int(S[2])
D = int(S[3])

result = caluclate(A,B,C,D)

print(result)

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

def smallestCommon(x,y):
    return (x * y) // math.gcd(x,y)


def caluclate(a, b, c, d):

    s1 = 2 if a / c < 2 else int(a / c)
    s2 = 2 if b / c < 2 else int(b / c)
    s3 = 2 if a / d < 2 else int(a / d)
    s4 = 2 if b / d < 2 else int(b / d)



    m1 = s2 - s1 + 1
    m2 = s4 - s3 + 1
    m3 = 0
    common = smallestCommon(c,d)
    commonB = common / c

    m3 = (s2 //commonB) - (s1 // commonB)

    return int(b - a + 1 - (m1 + m2 - m3))


S = input().split(" ")
A = int(S[0])
B = int(S[1])
C = int(S[2])
D = int(S[3])

result = caluclate(A,B,C,D)

print(result)


Fixed submission:
import fractions
def smallestCommon(a,b):
    return a*b/fractions.gcd(a,b)

def caluclate(a, b, c, d):

    s1 = (a - 1) // c
    s2 = (a - 1) // d

    m1 = s2 + s1

    s3 = b // c
    s4 = b // d

    m2 = s4 + s3

    common = int(smallestCommon(c,d))

    m3 = (b // common) - (a-1)//common

    total = int(b - a + 1)

    return total - (m2 - m1 - m3)


S = input().split(" ")
A = int(S[0])
B = int(S[1])
C = int(S[2])
D = int(S[3])

result = caluclate(A,B,C,D)

print(result)
Buggy python submission (verdict: Time Limit Exceeded):
def calculate(n, bindexes):
    arr = []
    for i in range(n):
        if bindexes.__contains__(i):
            arr.append(0)
            continue

        if i == 0:
            arr.append(1)
        elif i == 1:
            arr.append(arr[i-1] + 1)
        else:
            arr.append(arr[i-1] + arr[i-2])
    return arr

S = input().split(" ")

n = int(S[0])
m = int(S[1])
brokenStairIndexes = []

for i in range(m):
    brokenStairIndexes.append(int(input())-1)

arr = calculate(n,brokenStairIndexes)

print(arr[n-1] % 1000000007)

Fixed submission:
def calculate(n, arr2):
    steps = [0]*(n)
    steps[0] = 1

    if arr2.get(0) == True:
        steps[0] = 0
    else:
        steps[0] = 1

    if n == 1:
        return steps

    if arr2.get(1) == True:
        steps[1] = 0
    else:
        steps[1] = 1 + steps[0]

    if n == 2:
        return steps

    for index in range(2,n):
        if arr2.get(index) == True:
            steps[index] = 0
        else:
            steps[index] = steps[index-1] + steps[index-2]

    return steps

S = input().split(" ")
N = int(S[0])
M = int(S[1])


arr2 = {}
for i in range(M):
    index = int(input())
    arr2.setdefault(index-1, True)

result = calculate(N, arr2)

print(result[N-1] % 1000000007)