Problem:


Score: 500 points

Problem Statement

We have caught N sardines. The deliciousness and fragrantness of the i-th sardine is A_i and B_i, respectively.

We will choose one or more of these sardines and put them into a cooler. However, two sardines on bad terms cannot be chosen at the same time.

The i-th and j-th sardines (i \neq j) are on bad terms if and only if A_i \cdot A_j + B_i \cdot B_j = 0.

In how many ways can we choose the set of sardines to put into the cooler? Since the count can be enormous, print it modulo 1000000007.

Constraints

All values in input are integers.

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

-10^{18} \leq A_i, B_i \leq 10^{18}

Input

Input is given from Standard Input in the following format:

N
A_1 B_1
:
A_N B_N

Output

Print the count modulo 1000000007.

Sample Input 1

3
1 2
-1 1
2 -1

Sample Output 1

5

There are five ways to choose the set of sardines, as follows:

The 1-st

The 1-st and 2-nd

The 2-nd

The 2-nd and 3-rd

The 3-rd

Sample Input 2

10
3 2
3 2
-1 1
2 -1
-3 -9
-8 12
7 7
8 1
8 2
8 4

Sample Output 2

479



Sample input:
3
1 2
-1 1
2 -1


Sample output:
5

Submission status: Wrong Answer

Solution code:
N = int(input())
mod = 10 **9 + 7

def equal(item0, item1, delta = 10 ** (-24)):
    if abs(item0 - item1) < delta:
        return True
    else:
        return False
def bigger(item0, item1, delta = 10** (-24)):
    if item0 -item1 > delta:
        return True
    else:
        return False

ab = []
ba = []
zero = 0
from bisect import insort
from math import gcd
for _ in range(N):
    A, B = map(int, input().split())
    if A*B == 0:
        if A == 0 and B == 0:
            zero += 1
        elif A == 0 and B != 0:
            ab = [0] + ab
        else:
            ba = [0] + ba
    elif A*B > 0:
        d = gcd(A,B)
        insort(ab, (A//d)/(B//d))
    else:
        d = gcd(A,B)
        insort(ba, -(B//d)/(A//d))

def make_count(list):
    k = 0
    lis = []
    while k < len(list):
        cnt = 1
        while k+1 < len(list):
            if list[k] == list[k+1]:
                cnt += 1
                k += 1
                continue
            else:
                break
        lis.append([list[k], cnt])
        k += 1
    return lis

ab = make_count(ab)
ba = make_count(ba)
from collections import deque
ab = deque(ab)
ba = deque(ba)
ans = 1 #all pattern
flag = True
pair = []
if len(ab) == 0:
    print(pow(2, N-zero, mod)+zero-1)
    exit()
if len(ba) == 0:
    print(pow(2, N-zero, mod)+ zero -1)
    exit()


while True:
    if flag:
        a = ab.popleft()
        b = ba.popleft()
    flag = False
    if a[0] == b[0]:
        pair.append([a[1], b[1]])
        if ab:
            a = ab.popleft()
        else:
            a = [-1, 0]
        if ba:
            b = ba.popleft()
        else:
            b = [-1, 0]
        if a[0] == b[0] == -1:
            break
    elif a[0] >b[0]:
        if ba:
            pair.append([0,b[1]])
            b = ba.popleft()
            continue
        elif ab:
            pair.append([a[1],0])
            a = ab.popleft()
            b = [-1, 0]
            continue
        else:
            if a[0] != -1:
                pair.append([a[1], 0])
            if b[0]!= -1:
                pair.append([0, b[1]])
            break
    else:
        if ab:
            pair.append([a[1], 0])
            a = ab.popleft()
            continue
        elif ba:
            pair.append([0, b[1]])
            b = ba.popleft()
            a = [-1, 0]
        else:
            if a[0] != -1:
                pair.append([a[1], 0])
            if b[0]!= -1:
                pair.append([0, b[1]])
            break
ans = 1
for item in pair:
    ans *= pow(2, item[0], mod) + pow(2, item[1], mod) -1
    ans %= mod
ans += zero-1
ans %= mod
print(ans)

Submission status: Wrong Answer

Solution code:
N = int(input())
mod = 10 **9 + 7

def equal(item0, item1, delta = 10 ** (-24)):
    if abs(item0 - item1) < delta:
        return True
    else:
        return False
def bigger(item0, item1, delta = 10** (-24)):
    if item0 -item1 > delta:
        return True
    else:
        return False

ab = []
ba = []
zero = 0
from bisect import insort
for _ in range(N):
    A, B = map(int, input().split())
    if A*B == 0:
        if A == 0 and B == 0:
            zero += 1
        elif A == 0 and B != 0:
            ab = [0] + ab
        else:
            ba = [0] + ba
    elif A*B > 0:
        insort(ab, A/B)
    else:
        insort(ba, -B/A)
def make_count(list):
    k = 0
    lis = []
    while k < len(list):
        cnt = 1
        while k+1 < len(list):
            if equal(list[k],list[k+1]):
                cnt += 1
                k += 1
                continue
            else:
                break
        lis.append([list[k], cnt])
        k += 1
    return lis

ab = make_count(ab)
ba = make_count(ba)
from collections import deque
ab = deque(ab)
ba = deque(ba)
ans = 1 #all pattern
flag = True
pair = []
if len(ab) == 0:
    print(pow(2, N-zero, mod)+zero-1)
    exit()
if len(ba) == 0:
    print(pow(2, N-zero, mod)+ zero -1)
    exit()


while True:
    if flag:
        a = ab.popleft()
        b = ba.popleft()
    flag = False
    if equal(a[0], b[0]):
        pair.append([a[1], b[1]])
        if ab:
            a = ab.popleft()
        else:
            a = [-1, 0]
        if ba:
            b = ba.popleft()
        else:
            b = [-1, 0]
        if a[0] == b[0] == -1:
            break
    elif bigger(a[0], b[0]):
        if ba:
            pair.append([0,b[1]])
            b = ba.popleft()
            continue
        elif ab:
            pair.append([a[1],0])
            a = ab.popleft()
            b = [-1, 0]
            continue
        else:
            if a[0] != -1:
                pair.append([a[1], 0])
            if b[0]!= -1:
                pair.append([0, b[1]])
            break
    else:
        if ab:
            pair.append([a[1], 0])
            a = ab.popleft()
            continue
        elif ba:
            pair.append([0, b[1]])
            b = ba.popleft()
            a = [-1, 0]
        else:
            if a[0] != -1:
                pair.append([a[1], 0])
            if b[0]!= -1:
                pair.append([0, b[1]])
            break
ans = 1
for item in pair:
    ans *= pow(2, item[0], mod) + pow(2, item[1], mod) -1
    ans %= mod
ans += zero-1
ans %= mod
print(ans)

Submission status: Wrong Answer

Solution code:
N = int(input())
mod = 10 **9 + 7

def equal(item0, item1, delta = 10 ** (-24)):
    if abs(item0 - item1) < delta:
        return True
    else:
        return False
def bigger(item0, item1, delta = 10** (-24)):
    if item0 -item1 > delta:
        return True
    else:
        return False

ab = []
ba = []
zero = 0
from bisect import insort
for _ in range(N):
    A, B = map(int, input().split())
    if A*B == 0:
        if A == 0 and B == 0:
            zero += 1
        elif A == 0 and B != 0:
            ab = [0] + ab
        else:
            ba = [0] + ba
    elif A*B > 0:
        insort(ab, A/B)
    else:
        insort(ba, -B/A)
def make_count(list):
    k = 0
    lis = []
    while k < len(list):
        cnt = 1
        while k+1 < len(list):
            if equal(list[k],list[k+1]):
                cnt += 1
                k += 1
                continue
            else:
                break
        lis.append([list[k], cnt])
        k += 1
    return lis

ab = make_count(ab)
ba = make_count(ba)
from collections import deque
ab = deque(ab)
ba = deque(ba)
ans = 1 #all pattern
flag = True
pair = []
if len(ab) == 0:
    print(pow(2, N-zero, mod)+zero-1)
    exit()
if len(ba) == 0:
    print(pow(2, N-zero, mod)+ zero -1)
    exit()


while True:
    if flag:
        a = ab.popleft()
        b = ba.popleft()
    flag = False
    if equal(a[0], b[0]):
        pair.append([a[1], b[1]])
        if ab:
            a = ab.popleft()
        else:
            a = [-1, 0]
        if ba:
            b = ba.popleft()
        else:
            b = [-1, 0]
        if a[0] == b[0] == -1:
            break
    elif bigger(a[0], b[0]):
        if ba:
            pair.append([0,b[1]])
            b = ba.popleft()
            continue
        elif ab:
            pair.append([a[1],0])
            a = ab.popleft()
            b = [-1, 0]
            continue
        else:
            if a[0] != -1:
                pair.append([a[1], 0])
            if b[0]!= -1:
                pair.append([0, b[1]])
            break
    else:
        if ab:
            pair.append([a[1], 0])
            a = ab.popleft()
            continue
        elif ba:
            pair.append([0, b[1]])
            b = ba.popleft()
            a = [-1, 0]
        else:
            if a[0] != -1:
                pair.append([a[1], 0])
            if b[0]!= -1:
                pair.append([0, b[1]])
            break
ans = 1
print(pair)
for item in pair:
    ans *= pow(2, item[0], mod) + pow(2, item[1], mod) -1
    ans %= mod
ans += zero-1
ans %= mod
print(ans)

Submission status: Wrong Answer

Solution code:
N = int(input())
mod = 10 **9 + 7

def equal(item0, item1, delta = 10 ** (-22)):
    if abs(item0 - item1) < delta:
        return True
    else:
        return False
def bigger(item0, item1, delta = 10** (-22)):
    if item0 -item1 > delta:
        return True
    else:
        return False

ab = []
ba = []
zero = 0
from bisect import insort
for _ in range(N):
    A, B = map(int, input().split())
    if A*B == 0:
        if A == 0 and B == 0:
            zero += 1
        elif A == 0 and B != 0:
            ab = [0] + ab
        else:
            ba = [0] + ba
    elif A*B > 0:
        insort(ab, A/B)
    else:
        insort(ba, -B/A)
def make_count(list):
    k = 0
    lis = []
    while k < len(list):
        cnt = 1
        while k+1 < len(list):
            if equal(list[k],list[k+1]):
                cnt += 1
                k += 1
                continue
            else:
                break
        lis.append([list[k], cnt])
        k += 1
    return lis

ab = make_count(ab)
ba = make_count(ba)
from collections import deque
ab = deque(ab)
ba = deque(ba)
ans = 1 #all pattern
flag = True
pair = []
if len(ab) == 0:
    print(pow(2, N-zero, mod)+zero-1)
    exit()
if len(ba) == 0:
    print(pow(2, N-zero, mod)+ zero -1)
    exit()


while True:
    if flag:
        a = ab.popleft()
        b = ba.popleft()
    flag = False
    if equal(a[0], b[0]):
        pair.append([a[1], b[1]])
        if ab:
            a = ab.popleft()
        else:
            a = [-1, 0]
        if ba:
            b = ba.popleft()
        else:
            b = [-1, 0]
        if a[0] == b[0] == -1:
            break
    elif bigger(a[0], b[0]):
        if ba:
            pair.append([0,b[1]])
            b = ba.popleft()
            continue
        elif ab:
            pair.append([a[1],0])
            a = ab.popleft()
            b = [-1, 0]
            continue
        else:
            if a[0] != -1:
                pair.append([a[1], 0])
            if b[0]!= -1:
                pair.append([0, b[1]])
            break
    else:
        if ab:
            pair.append([a[1], 0])
            a = ab.popleft()
            continue
        elif ba:
            pair.append([0, b[1]])
            b = ba.popleft()
            a = [-1, 0]
        else:
            if a[0] != -1:
                pair.append([a[1], 0])
            if b[0]!= -1:
                pair.append([0, b[1]])
            break
ans = 1
for item in pair:
    ans *= pow(2, item[0], mod) + pow(2, item[1], mod) -1
    ans %= mod
ans += zero-1
ans %= mod
print(ans)

Submission status: Wrong Answer

Solution code:
N = int(input())
mod = 10 **9 + 7

def equal(item0, item1, delta = 10 ** (-22)):
    if abs(item0 - item1) < delta:
        return True
    else:
        return False
def bigger(item0, item1, delta = 10** (-22)):
    if item0 -item1 > delta:
        return True
    else:
        return False

ab = []
ba = []
zero = 0
from bisect import insort
for _ in range(N):
    A, B = map(int, input().split())
    if A*B == 0:
        if A == 0 and B == 0:
            zero += 1
        elif A == 0 and B != 0:
            ab = [0] + ab
        else:
            ba = [0] + ba
    elif A*B > 0:
        insort(ab, A/B)
    else:
        insort(ba, -B/A)
def make_count(list):
    k = 0
    lis = []
    while k < len(list):
        cnt = 1
        while k+1 < len(list):
            if equal(list[k],list[k+1]):
                cnt += 1
                k += 1
                continue
            else:
                break
        lis.append([list[k], cnt])
        k += 1
    return lis

ab = make_count(ab)
ba = make_count(ba)
from collections import deque
ab = deque(ab)
ba = deque(ba)
ans = 1 #all pattern
flag = True
pair = []
if len(ab) == 0:
    print(pow(2, N-zero, mod)+zero-1)
    exit()
if len(ba) == 0:
    print(pow(2, N-zero, mod)+ zero -1)
    exit()


while True:
    if flag:
        a = ab.popleft()
        b = ba.popleft()
    flag = False
    if equal(a[0], b[0]):
        pair.append([a[1], b[1]])
        if ab:
            a = ab.popleft()
        else:
            a = [-1, 0]
        if ba:
            b = ba.popleft()
        else:
            b = [-1, 0]
        if a[0] == b[0] == -1:
            break
    elif bigger(a[0], b[0]):
        if ba:
            pair.append([0,b[1]])
            b = ba.popleft()
            continue
        elif ab:
            pair.append([a[1],0])
            a = ab.popleft()
            b = [-1, 0]
            continue
        else:
            pair.append([a[1], b[1]])
            break
    else:
        if ab:
            pair.append([a[1], 0])
            a = ab.popleft()
            continue
        elif ba:
            pair.append([0, b[1]])
            b = ba.popleft()
            a = [-1, 0]
        else:
            pair.append([a[1], b[1]])
            break
ans = 1
for item in pair:
    ans *= pow(2, item[0], mod) + pow(2, item[1], mod) -1
    ans %= mod
ans += zero-1
ans %= mod
print(ans)

Submission status: Wrong Answer

Solution code:
N = int(input())
mod = 10 **9 + 7

def equal(item0, item1, delta = 10 ** (-21)):
    if abs(item0 - item1) < delta:
        return True
    else:
        return False
def bigger(item0, item1, delta = 10** (-21)):
    if item0 -item1 > delta:
        return True
    else:
        return False

ab = []
ba = []
zero = 0
from bisect import insort
for _ in range(N):
    A, B = map(int, input().split())
    if A*B == 0:
        if A == 0 and B == 0:
            zero += 1
        elif A == 0 and B != 0:
            ab = [0] + ab
        else:
            ba = [0] + ba
    elif A*B > 0:
        insort(ab, A/B)
    else:
        insort(ba, -B/A)
def make_count(list):
    k = 0
    lis = []
    while k < len(list):
        cnt = 1
        while k+1 < len(list):
            if equal(list[k],list[k+1]):
                cnt += 1
                k += 1
                continue
            else:
                break
        lis.append([list[k], cnt])
        k += 1
    return lis

ab = make_count(ab)
ba = make_count(ba)
from collections import deque
ab = deque(ab)
ba = deque(ba)
ans = 1 #all pattern
flag = True
pair = []
if len(ab) == 0:
    print(pow(2, N-zero, mod)+zero-1)
    exit()
if len(ba) == 0:
    print(pow(2, N-zero, mod)+ zero -1)
    exit()


while True:
    if flag:
        a = ab.popleft()
        b = ba.popleft()
    flag = False
    if equal(a[0], b[0]):
        pair.append([a[1], b[1]])
        if ab:
            a = ab.popleft()
        else:
            a = [-1, 0]
        if ba:
            b = ba.popleft()
        else:
            b = [-1, 0]
        if a[0] == b[0] == -1:
            break
    elif bigger(a[0], b[0]):
        if ba:
            pair.append([0,b[1]])
            b = ba.popleft()
            continue
        elif ab:
            pair.append([a[1],0])
            a = ab.popleft()
            b = [-1, 0]
            continue
        else:
            pair.append([a[1], b[1]])
            break
    else:
        if ab:
            pair.append([a[1], 0])
            a = ab.popleft()
            continue
        elif ba:
            pair.append([0, b[1]])
            b = ba.popleft()
            a = [-1, 0]
        else:
            pair.append([a[1], b[1]])
            break
ans = 1
for item in pair:
    ans *= pow(2, item[0], mod) + pow(2, item[1], mod) -1
    ans %= mod
ans += zero-1
ans %= mod
print(ans)

Submission status: Wrong Answer

Solution code:
N = int(input())
mod = 10 **9 + 7

def equal(item0, item1, delta = 10 ** (-18)):
    if abs(item0 - item1) < delta:
        return True
    else:
        return False
def bigger(item0, item1, delta = 10** (-18)):
    if item0 -item1 > delta:
        return True
    else:
        return False

ab = []
ba = []
zero = 0
from bisect import insort
for _ in range(N):
    A, B = map(int, input().split())
    if A*B == 0:
        if A == 0 and B == 0:
            zero += 1
        elif A == 0 and B != 0:
            ab = [0] + ab
        else:
            ba = [0] + ba
    elif A*B > 0:
        insort(ab, A/B)
    else:
        insort(ba, -B/A)
def make_count(list):
    k = 0
    lis = []
    while k < len(list):
        cnt = 1
        while k+1 < len(list):
            if equal(list[k],list[k+1]):
                cnt += 1
                k += 1
                continue
            else:
                break
        lis.append([list[k], cnt])
        k += 1
    return lis

ab = make_count(ab)
ba = make_count(ba)
from collections import deque
ab = deque(ab)
ba = deque(ba)
ans = 1 #all pattern
flag = True
pair = []
if len(ab) == 0:
    print(pow(2, N-zero, mod)+zero-1)
    exit()
if len(ba) == 0:
    print(pow(2, N-zero, mod)+ zero -1)
    exit()


while True:
    if flag:
        a = ab.popleft()
        b = ba.popleft()
    flag = False
    if equal(a[0], b[0]):
        pair.append([a[1], b[1]])
        if ab:
            a = ab.popleft()
        else:
            a = [-1, 0]
        if ba:
            b = ba.popleft()
        else:
            b = [-1, 0]
        if a[0] == b[0] == -1:
            break
    elif bigger(a[0], b[0]):
        if ba:
            pair.append([0,b[1]])
            b = ba.popleft()
            continue
        elif ab:
            pair.append([a[1],0])
            a = ab.popleft()
            b = [-1, 0]
            continue
        else:
            pair.append([a[1], b[1]])
            break
    else:
        if ab:
            pair.append([a[1], 0])
            a = ab.popleft()
            continue
        elif ba:
            pair.append([0, b[1]])
            b = ba.popleft()
            a = [-1, 0]
        else:
            pair.append([a[1], b[1]])
            break
ans = 1
for item in pair:
    ans *= pow(2, item[0], mod) + pow(2, item[1], mod) -1
    ans %= mod
ans += zero-1
ans %= mod
print(ans)

Submission status: Wrong Answer

Solution code:
N = int(input())
mod = 10 **9 + 7

def equal(item0, item1, delta = 10 ** (-20)):
    if abs(item0 - item1) < delta:
        return True
    else:
        return False
def bigger(item0, item1, delta = 10** (-20)):
    if item0 -item1 > delta:
        return True
    else:
        return False

ab = []
ba = []
zero = 0
from bisect import insort
for _ in range(N):
    A, B = map(int, input().split())
    if A*B == 0:
        if A == 0 and B == 0:
            zero += 1
        elif A == 0 and B != 0:
            ab = [0] + ab
        else:
            ba = [0] + ba
    elif A*B > 0:
        insort(ab, A/B)
    else:
        insort(ba, -B/A)
def make_count(list):
    k = 0
    lis = []
    while k < len(list):
        cnt = 1
        while k+1 < len(list):
            if equal(list[k],list[k+1]):
                cnt += 1
                k += 1
                continue
            else:
                break
        lis.append([list[k], cnt])
        k += 1
    return lis

ab = make_count(ab)
ba = make_count(ba)
from collections import deque
ab = deque(ab)
ba = deque(ba)
ans = 1 #all pattern
flag = True
pair = []
if len(ab) == 0:
    print(pow(2, N-zero, mod)+zero-1)
    exit()
if len(ba) == 0:
    print(pow(2, N-zero, mod)+ zero -1)
    exit()


while True:
    if flag:
        a = ab.popleft()
        b = ba.popleft()
    flag = False
    if equal(a[0], b[0]):
        pair.append([a[1], b[1]])
        if ab:
            a = ab.popleft()
        else:
            a = [-1, 0]
        if ba:
            b = ba.popleft()
        else:
            b = [-1, 0]
        if a[0] == b[0] == -1:
            break
    elif bigger(a[0], b[0]):
        if ba:
            pair.append([0,b[1]])
            b = ba.popleft()
            continue
        elif ab:
            pair.append([a[1],0])
            a = ab.popleft()
            b = [-1, 0]
            continue
        else:
            pair.append([a[1], b[1]])
            break
    else:
        if ab:
            pair.append([a[1], 0])
            a = ab.popleft()
            continue
        elif ba:
            pair.append([0, b[1]])
            b = ba.popleft()
            a = [-1, 0]
        else:
            pair.append([a[1], b[1]])
            break
ans = 1
for item in pair:
    ans *= pow(2, item[0], mod) + pow(2, item[1], mod) -1
    ans %= mod
ans += zero-1
ans %= mod
print(ans)

Submission status: Wrong Answer

Solution code:
N = int(input())
mod = 10 **9 + 7

def equal(item0, item1, delta = 10 ** (-20)):
    if abs(item0 - item1) < delta:
        return True
    else:
        return False
def bigger(item0, item1, delta = 10** (-20)):
    if item0 -item1 > delta:
        return True
    else:
        return False

ab = []
ba = []
zero = 0
from bisect import insort
for _ in range(N):
    A, B = map(int, input().split())
    if A*B == 0:
        if A == 0 and B == 0:
            zero += 1
        elif A == 0 and B != 0:
            ab = [0] + ab
        else:
            ba = [0] + ba
    elif A*B > 0:
        insort(ab, A/B)
    else:
        insort(ba, -B/A)
def make_count(list):
    k = 0
    lis = []
    while k < len(list):
        cnt = 1
        while k+1 < len(list):
            if list[k]==list[k+1]:
                cnt += 1
                k += 1
                continue
            else:
                break
        lis.append([list[k], cnt])
        k += 1
    return lis

ab = make_count(ab)
ba = make_count(ba)
from collections import deque
ab = deque(ab)
ba = deque(ba)
ans = 1 #all pattern
flag = True
pair = []
if len(ab) == 0:
    print(pow(2, N-zero, mod)+zero-1)
    exit()
if len(ba) == 0:
    print(pow(2, N-zero, mod)+ zero -1)
    exit()


while True:
    if flag:
        a = ab.popleft()
        b = ba.popleft()
    flag = False
    if equal(a[0], b[0]):
        pair.append([a[1], b[1]])
        if ab:
            a = ab.popleft()
        else:
            a = [-1, 0]
        if ba:
            b = ba.popleft()
        else:
            b = [-1, 0]
        if a[0] == b[0] == -1:
            break
    elif bigger(a[0], b[0]):
        if ba:
            pair.append([0,b[1]])
            b = ba.popleft()
            continue
        elif ab:
            pair.append([a[1],0])
            a = ab.popleft()
            b = [-1, 0]
            continue
        else:
            pair.append([a[1], b[1]])
            break
    else:
        if ab:
            pair.append([a[1], 0])
            a = ab.popleft()
            continue
        elif ba:
            pair.append([0, b[1]])
            b = ba.popleft()
            a = [-1, 0]
        else:
            pair.append([a[1], b[1]])
            break
ans = 1
for item in pair:
    ans *= pow(2, item[0], mod) + pow(2, item[1], mod) -1
    ans %= mod
ans += zero-1
ans %= mod
print(ans)

Submission status: Wrong Answer

Solution code:
N = int(input())
mod = 10 **9 + 7

def equal(item0, item1, delta = 10 ** (-20)):
    if abs(item0 - item1) < delta:
        return True
    else:
        return False
def bigger(item0, item1, delta = 10** (-20)):
    if item0 -item1 > delta:
        return True
    else:
        return False

ab = []
ba = []
zero = 0
from bisect import insort
for _ in range(N):
    A, B = map(int, input().split())
    if A*B == 0:
        if A == 0 and B == 0:
            zero += 1
        elif A == 0 and B != 0:
            ab = [0] + ab
        else:
            ba = [0] + ba
    elif A*B > 0:
        insort(ab, A/B)
    else:
        insort(ba, -B/A)
def make_count(list):
    k = 0
    lis = []
    while k < len(list):
        cnt = 1
        while k+1 < len(list):
            if list[k]==list[k+1]:
                cnt += 1
                k += 1
                continue
            else:
                break
        lis.append([list[k], cnt])
        k += 1
    return lis

ab = make_count(ab)
ba = make_count(ba)
from collections import deque
ab = deque(ab)
ba = deque(ba)
ans = 1 #all pattern
flag = True
pair = []
if len(ab) == 0:
    print(pow(2, N-zero, mod)+zero-1)
    exit()
if len(ba) == 0:
    print(pow(2, N-zero, mod)+ zero -1)
    exit()


while True:
    if flag:
        a = ab.popleft()
        b = ba.popleft()
    flag = False
    if a[0]== b[0]:
        pair.append([a[1], b[1]])
        if ab:
            a = ab.popleft()
        else:
            a = [-1, 0]
        if ba:
            b = ba.popleft()
        else:
            b = [-1, 0]
        if a[0] == b[0] == -1:
            break
    elif a[0]>b[0]:
        if ba:
            pair.append([0,b[1]])
            b = ba.popleft()
            continue
        elif ab:
            pair.append([a[1],0])
            a = ab.popleft()
            b = [-1, 0]
            continue
        else:
            pair.append([a[1], b[1]])
            break
    else:
        if ab:
            pair.append([a[1], 0])
            a = ab.popleft()
            continue
        elif ba:
            pair.append([0, b[1]])
            b = ba.popleft()
            a = [-1, 0]
        else:
            pair.append([a[1], b[1]])
            break
ans = 1
for item in pair:
    ans *= pow(2, item[0], mod) + pow(2, item[1], mod) -1
    ans %= mod
ans += zero-1
ans %= mod
print(ans)

Submission status: Wrong Answer

Solution code:
N = int(input())
mod = 10 **9 + 7

def equal(item0, item1, delta = 10 ** (-20)):
    if abs(item0 - item1) < delta:
        return True
    else:
        return False
def bigger(item0, item1, delta = 10** (-20)):
    if item0 -item1 > delta:
        return True
    else:
        return False
bit = [1]
for k in range(N):
    bit.append(bit[-1]*2%mod)


AB = []
BA = []
zero = 0
from bisect import insort
for _ in range(N):
    A, B = map(int, input().split())
    if A*B == 0:
        if A == 0 and B == 0:
            zero += 1
        elif A == 0 and B != 0:
            AB = [0] + AB
        else:
            BA = [0] + BA
    elif A*B > 0:
        insort(AB, A/B)
    else:
        insort(BA, -B/A)
def make_count(list):
    k = 0
    lis = []
    while k < len(list):
        cnt = 1
        while k+1 < len(list):
            if list[k]==list[k+1]:
                cnt += 1
                k += 1
                continue
            else:
                break
        lis.append([list[k], cnt])
        k += 1
    return lis

AB = make_count(AB)
BA = make_count(BA)
from collections import deque
AB = deque(AB)
BA = deque(BA)
ans = 1 #all pattern
flag = True
pair = []
if len(AB) == 0:
    print(bit[N-zero]+zero-1)
    exit()
if len(BA) == 0:
    print(bit[N-zero]+ zero -1)
    exit()


while True:
    if flag:
        a = AB.popleft()
        b = BA.popleft()
    flag = False
    if a[0]== b[0]:
        pair.append([a[1], b[1]])
        if AB:
            a = AB.popleft()
        if BA:
            b = BA.popleft()
    elif a[0]>b[0]:
        pair.append([0,b[1]])
        if BA:
            b = BA.popleft()
            continue
        elif AB:
            a = AB.popleft()
            continue
        else:
            break
    else:
        pair.append([a[1], 0])
        if AB:
            a = AB.popleft()
            continue
        elif BA:
            b = BA.popleft()
        else:
            break
ans = 1
for item in pair:
    ans *= pow(2, item[0], mod) + pow(2, item[1], mod) -1
    ans %= mod
ans += zero-1
ans %= mod
print(ans)

Submission status: Wrong Answer

Solution code:
from math import gcd
from bisect import bisect_left, bisect_right

MOD = 10 ** 9 + 7
pow2 = [1] * (2 * 10 ** 5 + 1)
for i in range(1, 2 * 10 ** 5 + 1):
	pow2[i] = (pow2[i - 1] * 2) % MOD

N = int(input())
zero = 0
iwasies = []
for i in range(N):
	A, B = map(int, input().split())
	if A == 0 and B == 0:
		zero += 1
	elif A == 0:
		iwasies.append((0, 1))
	elif B == 0:
		iwasies.append((1, 0))
	else:
		g = gcd(A, B)
		A //= g
		B //= g
		if A < 0:
			iwasies.append((-A, -B))
		else:
			iwasies.append((A, B))

numiwasi = len(iwasies)
iwasies.sort()
badpairs = set()
for i in range(numiwasi):
	A, B = iwasies[i]
	abcount = bisect_right(iwasies, (A, B)) - bisect_left(iwasies, (A, B))
	
	Ao, Bo = B, -A
	if Ao < 0:
		Ao, Bo = -Ao, -Bo
	
	aobocount = bisect_right(iwasies, (Ao, Bo)) - bisect_left(iwasies, (Ao, Bo))
	
	if aobocount > 0:
		if (A, B) < (Ao, Bo):
			badpairs.add(((A, B, abcount), (Ao, Bo, aobocount)))
		else:
			badpairs.add(((Ao, Bo, aobocount), (A, B, abcount)))

sociable = numiwasi
ans = 1

for bp in badpairs:
	count1 = bp[0][2]
	count2 = bp[1][2]
	sociable -= (count1 + count2)
	ans = (ans * (pow2[count1] + pow2[count2] - 1)) % MOD
ans = (ans * pow2[sociable]) % MOD

print(ans + zero - 1)

Submission status: Wrong Answer

Solution code:
from math import gcd
from bisect import bisect_left, bisect_right

MOD = 10 ** 9 + 7
pow2 = [1] * (2 * 10 ** 5 + 1)
for i in range(1, 2 * 10 ** 5 + 1):
	pow2[i] = (pow2[i - 1] * 2) % MOD

N = int(input())
zeroatta = False
iwasies = []
for i in range(N):
	A, B = map(int, input().split())
	if A == 0 and B == 0:
		zeroatta = True
	elif A == 0:
		iwasies.append((0, 1))
	elif B == 0:
		iwasies.append((1, 0))
	else:
		g = gcd(A, B)
		A //= g
		B //= g
		if A < 0:
			iwasies.append((-A, -B))
		else:
			iwasies.append((A, B))

numiwasi = len(iwasies)
iwasies.sort()
badpairs = set()
for i in range(numiwasi):
	A, B = iwasies[i]
	abcount = bisect_right(iwasies, (A, B)) - bisect_left(iwasies, (A, B))
	
	Ao, Bo = B, -A
	if Ao < 0:
		Ao, Bo = -Ao, -Bo
	
	aobocount = bisect_right(iwasies, (Ao, Bo)) - bisect_left(iwasies, (Ao, Bo))
	
	if aobocount > 0:
		if (A, B) < (Ao, Bo):
			badpairs.add(((A, B, abcount), (Ao, Bo, aobocount)))
		else:
			badpairs.add(((Ao, Bo, aobocount), (A, B, abcount)))

sociable = numiwasi
ans = 1

for bp in badpairs:
	count1 = bp[0][2]
	count2 = bp[1][2]
	sociable -= (count1 + count2)
	ans = (ans * (pow2[count1] + pow2[count2] - 1)) % MOD
ans = (ans * pow2[sociable]) % MOD

if zeroatta:
	ans += 1

print(ans - 1)