Problem:


Score : 500 points

Problem Statement

Given are N integers A_1,\ldots,A_N.

We will choose exactly K of these elements. Find the maximum possible product of the chosen elements.

Then, print the maximum product modulo (10^9+7), using an integer between 0 and 10^9+6 (inclusive).

Constraints

1 \leq K \leq N \leq 2\times 10^5

|A_i| \leq 10^9

Input

Input is given from Standard Input in the following format:

N K
A_1 \ldots A_N

Output

Print the maximum product modulo (10^9+7), using an integer between 0 and 10^9+6 (inclusive).

Sample Input 1

4 2
1 2 -3 -4

Sample Output 1

12

The possible products of the two chosen elements are 2, -3, -4, -6, -8, and 12, so the maximum product is 12.

Sample Input 2

4 3
-1 -2 -3 -4

Sample Output 2

1000000001

The possible products of the three chosen elements are -24, -12, -8, and -6, so the maximum product is -6.

We print this value modulo (10^9+7), that is, 1000000001.

Sample Input 3

2 1
-1 1000000000

Sample Output 3

1000000000

The possible products of the one chosen element are -1 and 1000000000, so the maximum product is 1000000000.

Sample Input 4

10 10
1000000000 100000000 10000000 1000000 100000 10000 1000 100 10 1

Sample Output 4

999983200

Be sure to print the product modulo (10^9+7).



Sample input:
4 2
1 2 -3 -4


Sample output:
12

Submission status: Runtime Error

Solution code:
import sys
from heapq import heappop, heapify, heappush
mod = 10**9 + 7
N, K = map(int, input().split())
A = [int(i) for i in input().split()]
plus = []
minus = []
zero = []
ans = []
for a in A:
    if a > 0:
        plus.append(-a)
    elif a == 0:
        zero.append(a)
    else:
        minus.append(a)
heapify(plus)
heapify(minus)
cnt = 0
last_minus = 0
last_plus = 0
if len(plus) + len(minus) < K:
    print(0)
    sys.exit()

if len(plus) == 0:
    if K%2 == 1:
        print(0)
        sys.exit()
    else:
        num = 1
        minus.sort()
        for x in minus[:K]:
            if x < 0:
                x = -x
            num *= x
            num %= mod
        print(num%mod)
        sys.exit()

if len(minus) == 0:
    num = 1
    plus.sort(reverse=True)
    for x in plus[:K]:
        if x < 0:
            x = -x
        num *= x
        num %= mod
    print(num%mod)
    sys.exit()

flag = 0

for i in range(K):
    if len(plus) > 0 and len(minus) > 0:
        a = heappop(plus)
        b = heappop(minus)
    elif len(plus) == 0:
        flag = 1
        break
    else:
        flag = 2
        break
    if a >= b:
        ans.append(b)
        heappush(plus, a)
        cnt += 1
        last_minus = b
    else:
        ans.append(a)
        heappush(minus, b)
        last_plus = a

if flag == 1:
    for i in range(K - len(ans)):
        a = heappop(minus)
        last_minus = a
        cnt += 1
        ans.append(a)

if flag == 2:
    for i in range(K - len(ans)):
        a = heappop(plus)
        last_plus = a
        ans.append(a)

if cnt%2 == 0:
    num = 1
    for a in ans:
        if a < 0:
            a = -a
        num = (num * a%mod)%mod
    print(num%mod)
else:
    num = 1
    ls = []
    for a in ans:
        if a < 0:
            ls.append(-a)
        else:
            ls.append(a)
    if len(plus) == 0:
        c = heappop(minus)
        if c < 0:
            c = -c
        if last_plus < 0:
            last_plus = -last_plus
        ls.remove(last_plus)
        for a in ls:
            if a < 0:
                a = -a
            num = (num * a%mod)%mod
        num = (num * c%mod)%mod
        print(num%mod)
    elif len(minus) == 0:
        c = heappop(plus)
        if c < 0:
            c = -c
        if last_minus < 0:
            last_minus = -last_minus
        ls.remove(last_minus)
        for a in ls:
            if a < 0:
                a = -a
            num = (num * a%mod)%mod
        num = (num * c%mod)%mod
        print(num%mod)
    else:
        a = heappop(plus)
        b = heappop(minus)
        if a < 0:
            a = -a
        if b < 0:
            b = -b
        if last_minus < 0:
            last_minus = -last_minus
        if last_plus < 0:
            last_plus = -last_plus

        if a *last_plus >= b*last_minus:
            ls.remove(last_plus)
            for c in ls:
                num = (num * c%mod)%mod
            num = (num * a%mod)%mod
            print(num%mod)
        else:
            ls.remove(last_minus)
            for c in ls:
                num = (num * c%mod)%mod
            num = (num * b%mod)%mod
            print(num%mod)

Submission status: Runtime Error

Solution code:
n, k = map(int, input().split())
a_list = list(map(int, input().split()))

l_minus = sorted([i for i in a_list if i < 0])
l_plus =  sorted([i for i in a_list if i > 0],reverse=True)

_min = False
if len(l_minus) == n and k % 2 == 1:
  _min = True
  # 最悪
cnt = 0
ans = 1

if k == n:
  for i in a_list:
    ans *= i
elif _min is True:
  l_minus = sorted(l_minus, reverse=True)
  for i in range(k):
    ans *= l_minus[i]
else:
  while 1:
    if cnt == k:
      break
    if len(l_minus) >= 2 and len(l_plus) >= 2:
      a = l_minus[0] * l_minus[1]
      b = l_plus[0] * l_plus[1]
      if cnt == k - 1 or b > a:
        ans *= l_plus.pop(0)
        cnt += 1
      else:
        l_minus.pop(0)
        l_minus.pop(0)
        ans *= a
        cnt += 2
    else:
      if len(l_minus) < 2:
        # 正の数をかけまくる
        while cnt != k:
          ans *= l_plus.pop(0)
          cnt += 1
      else:
        # 負の数を偶数個かけ続けて最後に調整
        odd = False
        nokori = k - cnt
        if nokori % 2 == 1:
          odd = True
        for i in range(nokori // 2):
          ans *= l_minus.pop(0)
          ans *= l_minus.pop(0)
          cnt += 2
        if odd is True:
          ans *= l_plus.pop(0)
  
print(ans % (pow(10,9) + 7))

Submission status: Runtime Error

Solution code:
n , k = map(int, input().split())
a = list(map(int, input().split()))
neg = []
pos = []
mod = 10**9+7
for i in range(n):
    if a[i] >= 0:
        pos.append(a[i])
    else:
        neg.append(a[i])
neg.sort()
pos.sort(reverse = True)
if len(pos) == 0 or n == k:
    print(4/0)
    ans = 1
    a.sort(reverse = True)
    for i in range(k):
        ans *= a[i]
        ans %= mod
    print(ans % mod)
else:
    #最大化するとき
    from collections import deque
    ans = 1
    neg_new = []
    for i in range(0, len(neg)//2):
        neg_new.append(neg[2*i] * neg[2*i+1])
    neg_new = deque(sorted(neg_new, reverse = True))
    pos = deque(pos)
    if k % 2 == 1:
        k -= 1
        ans = pos.popleft()
    else:
        ans = 1
    while k > 0:
        if len(pos) >= 2 and len(neg_new) >= 1:
            if pos[0] * pos[1] > neg_new[0]:
                ans *= pos.popleft() * pos.popleft()
            else:
                ans *= neg_new.popleft()
        elif len(pos) >= 2:
            ans *= pos.popleft() * pos.popleft()
        else:
            ans *= neg_new.popleft()
        k -= 2
        ans %= mod
    print(ans % mod)

Submission status: Runtime Error

Solution code:
N, K = map(int, input().split())
A = list(map(int, input().split()))
MOD = 10 ** 9 + 7

P = []
M = []
zero = 0
for a in A:
    if a > 0:
        P.append(a)
    elif a < 0:
        M.append(a)
    else:
        zero += 1

# 0 を選ぶしかない場合
if len(P) + len(M) < K:
    print(0)
    exit()

P.sort(reverse=True)
M.sort()

# a >= 0 のとき
if len(P) + zero == N:
    ans = 1
    for k in range(K):
        ans *= P[k]
        ans %= MOD
    print(ans)
    exit()

# a <= 0 のとき
if len(M) + zero == N:
    ans = 1
    if K % 2 == 0:
        for k in range(K):
            ans *= M[k]
            ans %= MOD
        print(ans)
    else:
        if zero > 0:
            print(0)
        else:
            M.sort(reverse=True)
            for k in range(K):
                ans *= M[k]
                ans %= MOD
            print(ans)
    exit()

# a に正・負両方含まれる場合
cur_p = 0
cur_m = 0
ans = 1
for k in range(K):
    if cur_p == len(P):
        ans *= M[cur_m]
        cur_m += 1
    elif cur_m == len(M):
        ans *= P[cur_p]
        cur_p += 1
    else:
        if P[cur_p] < abs(M[cur_m]):
            ans *= M[cur_m]
            cur_m += 1
        else:
            ans *= P[cur_p]
            cur_p += 1
    ans %= MOD

if cur_m % 2 == 0:
    print(ans)
else:
    if cur_p == len(P):
        ans *= M[cur_m]
        ans *= pow(P[cur_p - 1], MOD - 2, MOD)
        ans %= MOD
    elif cur_m == len(M):
        ans *= P[cur_p]
        ans *= pow(P[cur_m - 1], MOD - 2, MOD)
        ans %= MOD
    else:
        m1 = M[cur_m - 1]
        p1 = P[cur_p]
        m2 = M[cur_m]
        p2 = P[cur_p - 1]
        if p1 / m1 > m2 / p2:
            ans *= p1
            ans *= pow(m1, MOD - 2, MOD)
            ans %= MOD
        else:
            ans *= m2
            ans *= pow(p2, MOD - 2, MOD)
            ans %= MOD
    print(ans)

Submission status: Runtime Error

Solution code:
"""
    Satwik_Tiwari ;) .
    4th july , 2020  - Saturday
"""

#===============================================================================================
#importing some useful libraries.
from __future__ import division, print_function

from fractions import Fraction
import sys
import os
from io import BytesIO, IOBase


import bisect
from heapq import *
from math import *
from collections import deque
from collections import Counter as counter  # Counter(list)  return a dict with {key: count}
from itertools import combinations as comb # if a = [1,2,3] then print(list(comb(a,2))) -----> [(1, 2), (1, 3), (2, 3)]
from itertools import permutations as permutate
from bisect import bisect_left as bl
#If the element is already present in the list,
# the left most position where element has to be inserted is returned.
from bisect import bisect_right as br
from bisect import bisect
#If the element is already present in the list,
# the right most position where element has to be inserted is returned

#==============================================================================================

BUFSIZE = 8192


class FastIO(IOBase):
    newlines = 0

    def __init__(self, file):
        self._fd = file.fileno()
        self.buffer = BytesIO()
        self.writable = "x" in file.mode or "r" not in file.mode
        self.write = self.buffer.write if self.writable else None

    def read(self):
        while True:
            b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
            if not b:
                break
            ptr = self.buffer.tell()
            self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
        self.newlines = 0
        return self.buffer.read()

    def readline(self):
        while self.newlines == 0:
            b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
            self.newlines = b.count(b"\n") + (not b)
            ptr = self.buffer.tell()
            self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
        self.newlines -= 1
        return self.buffer.readline()

    def flush(self):
        if self.writable:
            os.write(self._fd, self.buffer.getvalue())
            self.buffer.truncate(0), self.buffer.seek(0)


class IOWrapper(IOBase):
    def __init__(self, file):
        self.buffer = FastIO(file)
        self.flush = self.buffer.flush
        self.writable = self.buffer.writable
        self.write = lambda s: self.buffer.write(s.encode("ascii"))
        self.read = lambda: self.buffer.read().decode("ascii")
        self.readline = lambda: self.buffer.readline().decode("ascii")


def print(*args, **kwargs):
    """Prints the values to a stream, or to sys.stdout by default."""
    sep, file = kwargs.pop("sep", " "), kwargs.pop("file", sys.stdout)
    at_start = True
    for x in args:
        if not at_start:
            file.write(sep)
        file.write(str(x))
        at_start = False
    file.write(kwargs.pop("end", "\n"))
    if kwargs.pop("flush", False):
        file.flush()


if sys.version_info[0] < 3:
    sys.stdin, sys.stdout = FastIO(sys.stdin), FastIO(sys.stdout)
else:
    sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)

# inp = lambda: sys.stdin.readline().rstrip("\r\n")

#===============================================================================================
#some shortcuts

mod = 1000000007
def inp(): return sys.stdin.readline().rstrip("\r\n") #for fast input
def out(var): sys.stdout.write(str(var))  #for fast output, always take string
def lis(): return list(map(int, inp().split()))
def stringlis(): return list(map(str, inp().split()))
def sep(): return map(int, inp().split())
def strsep(): return map(str, inp().split())
# def graph(vertex): return [[] for i in range(0,vertex+1)]
def zerolist(n): return [0]*n
def nextline(): out("\n")  #as stdout.write always print sring.
def testcase(t):
    for p in range(t):
        solve()
def printlist(a) :
    for p in range(0,len(a)):
        out(str(a[p]) + ' ')
def lcm(a,b): return (a*b)//gcd(a,b)
def power(a,b):
    ans = 1
    while(b>0):
        if(b%2==1):
            ans*=a
        a*=a
        b//=2
    return ans
def ncr(n,r): return factorial(n)//(factorial(r)*factorial(max(n-r,1)))
def isPrime(n) : # Check Prime Number or not
    if (n <= 1) : return False
    if (n <= 3) : return True
    if (n % 2 == 0 or n % 3 == 0) : return False
    i = 5
    while(i * i <= n) :
        if (n % i == 0 or n % (i + 2) == 0) :
            return False
        i = i + 6
    return True

#===============================================================================================
# code here ;))
def bs(a,l,h,x):
    while(l<h):
        # print(l,h)
        mid = (l+h)//2
        if(a[mid] == x):
            return mid
        if(a[mid] < x):
            l = mid+1
        else:
            h = mid
    return l

def sieve(a): #O(n loglogn) nearly linear
    #all odd mark 1
    for i in range(3,((10**6)+1),2):
        a[i] = 1
    #marking multiples of i form i*i 0. they are nt prime
    for i in range(3,((10**6)+1),2):
        for j in range(i*i,((10**6)+1),i):
            a[j] = 0
    a[2] = 1 #special left case
    return (a)


def bfs(g,st):
    visited = [-1]*(len(g))
    visited[st] = 0
    queue = []
    queue.append(st)
    new = []
    while(len(queue) != 0):
        s = queue.pop()
        new.append(s)
        for i in g[s]:
            if(visited[i] == -1):
                visited[i] = visited[s]+1
                queue.append(i)
    return visited


def dfsusingstack(v,st):
    d = deque([])
    visited = [0]*(len(v))
    d.append(st)
    new = []
    visited[st] = 1
    while(len(d) != 0):
        curr = d.pop()
        new.append(curr)
        for i in v[curr]:
            if(visited[i] == 0):
                visited[i] = 1
                d.append(i)
    return new


def solve():
    n,k =sep()
    a = lis()
    pos= []
    neg = []
    for i in range(n):
        if(a[i]>=0):
            pos.append(a[i])
        else:
            neg.append(a[i])
    pos = sorted(pos)[::-1]
    neg = sorted(neg)[::-1]
    cnt = k
    st1 = 0
    st2 = 0
    ans = 1
    while(cnt>0):
        if(cnt>1):
            if(st1>=len(pos)-1 and st2>=len(neg)-1):
                ans = (ans*((neg[st2]*pos[st1+1])%mod))%mod
                st1+=1
                st2+=1
                cnt-=2
                continue
            if(st1>=len(pos)-1):
                ans = (ans*((neg[st2]*neg[st2+1])%mod))%mod
                st2+=2
                cnt-=2
                continue
            if(st2>=len(neg)-1):
                ans = (ans*((pos[st1]*pos[st1+1])%mod))%mod
                st1+=2
                cnt-=2
                continue

            if(pos[st1]*pos[st1+1] > neg[st2]*neg[st2+1]):
                ans = (ans*((pos[st1]*pos[st1+1])%mod))%mod
                st1+=2
                cnt-=2
            else:
                ans = (ans*((neg[st2]*neg[st2+1])%mod))%mod
                st2+=2
                cnt-=2
        else:
            if(st1>len(pos)-1):
                ans = (ans*neg[st2])%mod
                st2+=1
                cnt-=1
                continue
            ans = (ans*pos[st1])%mod
            st1+=1
            cnt-=1
    print(ans%mod)





testcase(1)
# testcase(int(inp()))

Submission status: Runtime Error

Solution code:
n,k=map(int,input().split())
lst=list(map(int,input().split()))
mod=10**9+7

plst=sorted([x for x in lst if x>=0],reverse=True)
nlst=sorted([abs(x) for x in lst if x<0],reverse=True)
lenn=len(nlst)
lenp=len(plst)



if lenp==0 and k%2==1:
    sm=1
    for i in range(lenn-1,lenn-k-1,-1):
        sm*=-nlst[i]
        sm%=mod
    print(sm)
    exit()


ptoken=0
ntoken=0
token=0


sm=1
while token<k:
    if ptoken==lenp:
        sm*=-nlst[ntoken]
        ntoken+=1
    elif ntoken==lenn:
        sm*=plst[ptoken]
        ptoken+=1
    elif plst[ptoken]>nlst[ntoken]:
        sm*=plst[ptoken]
        ptoken+=1
    else :
        sm*=-nlst[ntoken]
        ntoken+=1
    token+=1

if sm<0:
    if ptoken<lenp:
        sm//=nlst[ntoken-1]
        sm*=plst[ntoken]
    else : 
        if n!=k :
            sm//=plst[ntoken-1]
            sm*=nlst[ntoken]
sm%=mod
print(sm)

Submission status: Runtime Error

Solution code:
from functools import reduce
from operator import mul

mod = 10**9 + 7

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

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

if N == K:
    print(reduce(mul, A)%mod)

else:

    AP = []
    AM = []
    for i in A:
        if i < 0:
            AM.append(i)
        else:
            AP.append(i)
            
    if len(AP) == 0 and K%2 != 0:
        AM.sort(reverse=True)
        AM = AM[:K]
        print(reduce(mul, AM)%mod)

    else:
        
        AP.sort(reverse=True)
        AM.sort()

        AP = AP[:K]
        AM = AM[:K]

        P = reduce(mul, AP)
        M = 1
        ans = P
        for i in range(0, len(AM)):
            if i < len(AP): 
                M *= AM[i]
                ans = max(ans, P*M/AP[-(i+1)])

        print(int(ans)%mod)

Submission status: Runtime Error

Solution code:
n, k = map(int, input().split())
a = list(map(int, input().split()))
a.sort(reverse = True, key = lambda x: abs(x))
mod = 10**9+7
nega = 0
posi = 0
zero = 0
for i in range(n):
    if a[i] > 0:
        posi += 1
    elif a[i] == 0:
        zero += 1
    else:
        nega += 1

if n == k:
    ans = 1
    for i in range(k):
        ans *= abs(a[i])
        ans %= mod
    if nega%2 == 1:
        ans *= -1

elif posi == 0:

    if k % 2 == 0:
        ans = 1
        for i in range(k):
            ans *= abs(a[i])
            ans %= mod

    else:
        if zero > 0:
            ans = 0
        else:
            a.reverse()
            ans = 1
            for i in range(k):
                ans *= abs(a[i])
                ans %= mod

            ans *= -1


else:
    posi = 0
    nega = 0
    zero = 0
    ans = 1
    for i in range(k):
        ans *= abs(a[i])
        ans %= mod

    for i in range(k):
        if a[i] > 0:
            posi += 1
        elif a[i] < 0:
            nega += 1
        else:
            zero += 1

    if zero > 0:
        ans = 0

    elif nega % 2 != 0:
        minposi = 0
        minnega = 0
        for i in range(k-1, -1, -1):
            if a[i] > 0:
                if minposi == 0:
                    minposi = a[i]
            else:
                if minnega == 0:
                    minnega = a[i]

        if minposi == 0:
            pp
        if minnega == 0:
            pp

        maxposi = 0
        maxnega = 0
        flag = 0
        for i in range(k, n):
            if a[i] > 0:
                if maxposi == 0:
                    maxposi = a[i]
            elif a[i] < 0:
                if maxnega == 0:
                    maxnega = a[i]


        if abs(minposi*maxposi) <= abs(minnega*maxnega):
            ans *= pow(abs(minposi), mod-2, mod)
            ans *= abs(maxnega)

        else:
            ans *= pow(abs(minnega), mod-2, mod)
            ans *= abs(maxposi)



print(ans % mod)

Submission status: Runtime Error

Solution code:
import sys,collections as cl,bisect as bs
sys.setrecursionlimit(100000)
input = sys.stdin.readline
mod = 10**9+7
Max = sys.maxsize
def l(): #intのlist
	return list(map(int,input().split()))
def m(): #複数文字
	return map(int,input().split())
def onem(): #Nとかの取得
	return int(input())
def s(x): #圧縮
	a = []
	if len(x) == 0:
		return []
	aa = x[0]
	su = 1
	for i in range(len(x)-1):
		if aa != x[i+1]:
			a.append([aa,su])
			aa = x[i+1]
			su = 1
		else:
			su += 1
	a.append([aa,su])
	return a
def jo(x): #listをスペースごとに分ける
	return " ".join(map(str,x))
def max2(x): #他のときもどうように作成可能
	return max(map(max,x))
def In(x,a): #aがリスト(sorted)
    k = bs.bisect_left(a,x)
    if k != len(a) and a[k] ==  x:
        return True
    else:
        return False

def pow_k(x, n):
    ans = 1
    while n:
        if n % 2:
            ans *= x
        x *= x
        n >>= 1
    return ans

"""
def nibu(x,n,r):
	ll = 0
	rr = r
	while True:
		mid = (ll+rr)//2

	if rr == mid:
		return ll
	if (ここに評価入れる):
		rr = mid
	else:
		ll = mid+1
"""

n,k = m()

a = l()

a.sort()

mina = []

pra = []

for i in range(n):
	if a[i] >= 0:
		pra.append(a[i])
	else:
		mina.append(a[i])

lp = len(pra)

lm = len(mina)
ans = 1
if lp == 0:
	if k % 2 != 0:
		for i in range(0,k,2):
			if i == k-1:
				i = -(1+i)
				ans *= mina[i]
			else:
				i = -(1+i)
				ans *= (mina[i]*mina[i-1]) % mod
			ans %= mod
		print(ans % mod)
	else:
		for i in range(0,k,2):
			ans *= (mina[i]*mina[i+1]) % mod
			ans %= mod
		print(ans % mod)
elif lp == 1:
	if n == k:
		ans *= pra[0]
		for i in range(0,lp,2):
			if i == lp-1:
				i = -(1+i)
				ans *= mina[i]
			else:
				i = -(1+i)
				ans *= (mina[i]*mina[i-1]) % mod
			ans %= mod
		print(ans % mod)
	else:
		if k % 2 == 0:
			for i in range(0,k,2):
				ans *= (mina[i]*mina[i+1]) % mod
				ans %=  mod
			print(ans % mod)
		else:
			ans *= pra[0] 
			for i in range(0,k-1,2):
				ans *= (mina[i]*mina[i+1]) % mod
				ans %=  mod
			print(ans % mod)
else:
	cp = lp-1
	cm = 0
	count = 0
	#data = []
	
	for _ in range(k):
		if cp != -1 and cm != lm:
			if abs(mina[cm]) < pra[cp]:
				if cp == 0:
					if (k-lp) % 2 == 0:
						count += 1
						#ans *= pra[cp]
						#data.append(pra[cp])
						cp -= 1
					else:
						count += 1
						#ans *= mina[cm]
						#data.append(mina[cm])
						cm += 1

				else:
					count += 1
					#ans *= pra[cp]
					#data.append(pra[cp])
					cp -= 1
			else:
				if cm == lm-1:
					if lm % 2 == 0:
						count += 1
						#ans *= mina[cm]
						#data.append(mina[cm])
						cm += 1
					else:
						count += 1
						#ans *= pra[cp]
						#data.append(pra[cp])
						cp -= 1


				else:
					count += 1
					#ans *= mina[cm]
					#data.append(mina[cm])
					cm += 1
		elif cp != -1:
			#ans *= pra[cp]
			#data.append(pra[cp])
			cp -= 1
			count += 1
		elif cm != lm:
			#ans *= mina[cm]
			#data.append(mina[cm])
			cm += 1
			count += 1

		else:
			break
	if cm % 2 != 0:
		if cp == lp-1:
			cp -= 1
			cm -= 1

		else:
			if cp != -1 and cm != lm:
				if pra[cp+1] != 0 and pra[cp]/-mina[cm-1] <= -mina[cm]/pra[cp+1]:
					cp += 1
					cm += 1
				else:
					cp -= 1
					cm -= 1
			elif cp != -1:
				cp -= 1
				cm -= 1
			elif cm != lm:
				cp += 1
				cm += 1

		

	#data.sort()
	co = 0

	for i in range(0,cm,2):
		ans *= (mina[i] * mina[i+1]) % mod
		ans %= mod
	for i in range(lp-1,cp,-1):
		ans *= pra[i] % mod
		ans %= mod


		
	print(ans)

Submission status: Runtime Error

Solution code:
from collections import Counter, deque

N, K = map(int, input().split(' '))
A = list(map(int, input().split(' ')))

MOD = 10 ** 9 + 7

n_minus = 0
for a in A:
    if a < 0:
        n_minus += 1
if N == K:
    ans = 1
    for a in A:
        ans *= a
        ans %= MOD
    print(ans)
elif n_minus == N and K % 2 == 1:
    def f(x):
        if x == 0:
            return 10 ** 9
        else:
            return abs(x)


    A = sorted(A, key=f)
    ans = 1
    for i in range(K):
        ans *= A[i]
        ans %= MOD

    print(ans)
else:
    A = sorted(A, key=lambda x: abs(x), reverse=True)
    plus = deque()
    minus = deque()

    for i in range(K):
        if A[i] >= 0:
            plus.append(A[i])
        else:
            minus.append(A[i])

    if len(minus) % 2 == 1:
        if len(plus) == 0:
            minus.pop()
            for a in A[K:]:
                if a >= 0:
                    plus.append(a)
                    break
        else:
            p = None
            m = None
            for a in A[K:]:
                if a >= 0 and p is None:
                    p = a
                if a < 0 and m is None:
                    m = a
                if p is not None and m is not None:
                    break

            if m is None:
                minus.pop()
                plus.append(p)
            elif minus[-1] * m > plus[-1] * p:
                plus.pop()
                minus.append(m)
            else:
                minus.pop()
                plus.append(p)

    ans = 1
    while plus:
        ans *= plus.popleft()
        ans %= MOD
    while minus:
        ans *= minus.popleft()
        ans %= MOD

    print(ans)

Submission status: Runtime Error

Solution code:
import sys, bisect


if(__name__ == "__main__"):


    N, K = map( int, input().strip().split() )
    divisor = 10**9+7

    list_a = list( map(int, input().strip().split()) )

    """
    left, right側の2項の積で大きい方を選択
    選べるのが残り1項ならright側を選択
    """
    multiplies = 1

    if(N==K):
        for i in range(N):
            multiplies = multiplies * list_a[i] % divisor
        print(multiplies)
    else:
        list_a.sort()

        flag_overzero = True
        if(list_a[-1] < 0 and K % 2 != 0):
            flag_overzero = False
        """
        解が負になるのはN>Kの時には
        正の項が1つもなく、Kが奇数の時
        """
        if(flag_overzero == True):
            left = 0
            right = N-1

            if(K%2 != 0):
                multiplies = multiplies * list_a[right] % divisor
                K -= 1
                right -= 1
            multiply_left = list_a[left] * list_a[left+1]
            multiply_right = list_a[right] * list_a[right-1]
            for k in range(K//2):

                if(multiply_left < multiply_right):
                    multiply_right %= divisor
                    multiplies = multiplies * multiply_right % divisor
                    right -= 2
                    multiply_right = list_a[right] * list_a[right-1]

                else:
                    multiply_left %= divisor
                    multiplies = multiplies * multiply_left % divisor
                    left += 2
                    multiply_left = list_a[left] * list_a[left+1]

            print(multiplies)
        else:
            """
            全て負の項
            list_a = [-5, -3, -1]のようにソートされている
            末尾の項から選んでいく
            """

            for i in range(K):
                multiplies = multiplies * list_a[N-1-i] % divisor

            print(multiplies)

Submission status: Runtime Error

Solution code:
n, k = map(int, input().split())
a = list(map(int, input().split()))
a.sort(reverse = True, key = lambda x: abs(x))
mod = 10**9+7
nega = 0
posi = 0
zero = 0
for i in range(n):
    if a[i] > 0:
        posi += 1
    elif a[i] == 0:
        zero += 1
    else:
        nega += 1

if n == k:
    ans = 1
    for i in range(k):
        ans *= abs(a[i])
        ans %= mod
    if nega%2 == 1:
        ans *= -1

elif posi == 0:

    if k % 2 == 0:
        ans = 1
        for i in range(k):
            ans *= abs(a[i])
            ans %= mod

    else:
        if zero > 0:
            ans = 0
        else:
            a.reverse()
            ans = 1
            for i in range(k):
                ans *= abs(a[i])
                ans %= mod

            ans *= -1


else:
    posi = 0
    nega = 0
    zero = 0
    ans = 1
    for i in range(k):
        ans *= abs(a[i])
        ans %= mod

    for i in range(k):
        if a[i] > 0:
            posi += 1
        elif a[i] < 0:
            nega += 1
        else:
            zero += 1

    if zero > 0:
        ans = 0

    elif nega % 2 != 0:
        minposi = 0
        minnega = 0
        for i in range(k-1, -1, -1):
            if a[i] > 0:
                if minposi == 0:
                    minposi = a[i]
            else:
                if minnega == 0:
                    minnega = a[i]

        maxposi = 0
        maxnega = 0
        flag = 0
        for i in range(k, n):
            if a[i] > 0:
                if maxposi == 0:
                    maxposi = a[i]
            elif a[i] < 0:
                if maxnega == 0:
                    maxnega = a[i]

        if maxposi == 0:
            pp


        if abs(minposi*maxposi) <= abs(minnega*maxnega):
            ans *= pow(abs(minposi), mod-2, mod)
            ans *= abs(maxnega)

        else:
            ans *= pow(abs(minnega), mod-2, mod)
            ans *= abs(maxposi)



print(ans % mod)

Submission status: Runtime Error

Solution code:
n, k = map(int, input().split())
a_list = list(map(int, input().split()))

l_minus = sorted([i for i in a_list if i < 0])
l_plus =  sorted([i for i in a_list if i > 0],reverse=True)

_min = False
if len(l_minus) == n and k % 2 == 1:
  _min = True
  # 最悪
cnt = 0
ans = 1

if k == n:
  for i in a_list:
    ans *= i
elif _min is True:
  l_minus = sorted(l_minus, reverse=True)
  for i in range(k):
    ans *= l_minus[i]
else:
  while 1:
    if cnt == k:
      break
    if len(l_minus) >= 2 and len(l_plus) >= 2:
      a = l_minus[0] * l_minus[1]
      b = l_plus[0] * l_plus[1]
      if cnt == k - 1 or b > a:
        ans *= l_plus.pop(0)
        cnt += 1
      else:
        l_minus.pop(0)
        l_minus.pop(0)
        ans *= a
        cnt += 2
    else:
      if len(l_minus) < 2:
        # 正の数をかけまくる
        while cnt != k:
          ans *= l_plus.pop(0)
      else:
        # 負の数を偶数個かけ続けて最後に調整
        odd = False
        nokori = k - cnt
        if nokori % 2 == 1:
          odd = True
        for i in range(nokori // 2):
          ans *= l_minus.pop(0)
          ans *= l_minus.pop(0)
          cnt += 2
        if odd is True:
          ans *= l_plus.pop(0)
  
print(ans % (pow(10,9) + 7))