Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
import sys
sys.getrecursionlimit(1000000)

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

G = [[] for i in range(N)]
for _ in range(M):
    Ai, Bi = map(int, input().split())
    G[Ai - 1].append(Bi - 1)
    G[Bi - 1].append(Ai - 1)

color = [0] * N
def dfs(v, c):
    '''
    頂点vをcで塗る　そこから深さ優先探索で交互に塗っていく
    '''
    color[v] = c
    for i in G[v]:
        if color[i] == c:
            return False
        if color[i] == 0 and not(dfs(i, -c)):
            return False
    return True

if dfs(0, 1):
    print(color.count(1) * color.count(-1) - M)
else:
    print(N * (N - 1) // 2 - M)


Fixed submission:
import sys
sys.setrecursionlimit(1000000)

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

G = [[] for i in range(N)]
for _ in range(M):
    Ai, Bi = map(int, input().split())
    G[Ai - 1].append(Bi - 1)
    G[Bi - 1].append(Ai - 1)

color = [0] * N
def dfs(v, c):
    '''
    頂点vをcで塗る　そこから深さ優先探索で交互に塗っていく
    '''
    color[v] = c
    for i in G[v]:
        if color[i] == c:
            return False
        if color[i] == 0 and not(dfs(i, -c)):
            return False
    return True

if dfs(0, 1):
    print(color.count(1) * color.count(-1) - M)
else:
    print(N * (N - 1) // 2 - M)

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

G = [[] for i in range(N)]
for _ in range(M):
    Ai, Bi = map(int, input().split())
    G[Ai - 1].append(Bi - 1)
    G[Bi - 1].append(Ai - 1)

color = [0] * N
def dfs(v, c):
    '''
    頂点vをcで塗る　そこから深さ優先探索で交互に塗っていく
    '''
    color[v] = c
    for i in G[v]:
        if color[i] == c:
            return False
        if color[i] == 0 and not(dfs(i, -c)):
            return False
    return True

if dfs(0, 1):
    print(color.count(1) * color.count(-1) - M)
else:
    print(N * (N - 1) // 2 - M)


Fixed submission:
import sys
sys.setrecursionlimit(1000000)

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

G = [[] for i in range(N)]
for _ in range(M):
    Ai, Bi = map(int, input().split())
    G[Ai - 1].append(Bi - 1)
    G[Bi - 1].append(Ai - 1)

color = [0] * N
def dfs(v, c):
    '''
    頂点vをcで塗る　そこから深さ優先探索で交互に塗っていく
    '''
    color[v] = c
    for i in G[v]:
        if color[i] == c:
            return False
        if color[i] == 0 and not(dfs(i, -c)):
            return False
    return True

if dfs(0, 1):
    print(color.count(1) * color.count(-1) - M)
else:
    print(N * (N - 1) // 2 - M)
Buggy python submission (verdict: Runtime Error):
from sys import stdin
l = int(stdin.readline().rstrip().split())
l.sort()
saitan = l[0] + l[1]
print(saitan)

Fixed submission:
from sys import stdin
l = stdin.readline().rstrip().split()
l.sort()
saitan = int(l[0]) + int(l[1])
print(saitan)
Buggy python submission (verdict: Runtime Error):
#coding:utf-8
n,k=map(int, input().split())
h=[int(input()) for i in range(n)]
h.sort()
print(min(h[i+k-1] - h[i] for i in range(n-k+1)))

Fixed submission:
#coding:utf-8
d=int(input())
if d==25:
	print("Christmas")
elif d==24:
	print("Christmas Eve")
elif d==23:
	print("Christmas Eve Eve")
elif d==22:
	print("Christmas Eve Eve Eve")
else:
	print("")

Buggy python submission (verdict: Runtime Error):
#coding:utf-8
n,k=map(int,input().split())
h=[int(input()) for i in range(n)]
h.sort()
print(min(h[i+k-1]-h[i] for i in range(n-k+1)))

Fixed submission:
#coding:utf-8
d=int(input())
if d==25:
	print("Christmas")
elif d==24:
	print("Christmas Eve")
elif d==23:
	print("Christmas Eve Eve")
elif d==22:
	print("Christmas Eve Eve Eve")
else:
	print("")

Buggy python submission (verdict: Runtime Error):
#coding:utf-8
n,k=map(int(input().split()))
h=[int(input()) for i in range(n)]
h.sort()
print(min(h[i+k-1]-h[i] for i in range(n-k+1)))

Fixed submission:
#coding:utf-8
d=int(input())
if d==25:
	print("Christmas")
elif d==24:
	print("Christmas Eve")
elif d==23:
	print("Christmas Eve Eve")
elif d==22:
	print("Christmas Eve Eve Eve")
else:
	print("")
Buggy python submission (verdict: Runtime Error):
#coding:utf-8
n,k=int(input().split())
h=[int(input()) for i in range(n)]
h.sort()
print(min(h[i+k-1]-h[i] for i in range(n-k+1)))

Fixed submission:
#coding:utf-8
n,k=map(int, input().split())
h=[int(input()) for i in range(n)]
h.sort()
print(min(h[i+k-1] - h[i] for i in range(n-k+1)))
Buggy python submission (verdict: Runtime Error):
#coding:utf-8
n,x=map(int, input().split())

a,p=[1],[1]
for i in range(n):
	a.append(a[i]*2+3)
	p.append(p[i]*2+1)

def f(n,x):
	if n==0:
		return0 if x<=0 else 1
	elif x<=1+a[n-1]:
		return f(n-1,x-1)
	else:
		return p[n-1]+1+f(n-1,x-2-a[n-1])

print(f(n,x))

Fixed submission:
#coding:utf-8
n,x=map(int, input().split())

a,p=[1],[1]
for i in range(n):
	a.append(a[i]*2+3)
	p.append(p[i]*2+1)

def f(n,x):
	if n==0:
		return 0 if x<=0 else 1
	elif x<=1+a[n-1]:
		return f(n-1,x-1)
	else:
		return p[n-1]+1+f(n-1,x-2-a[n-1])

print(f(n,x))
Buggy python submission (verdict: Runtime Error):
s=int(input())
ans=1
for i in range(1,n+1):
  ans=ans%(10**9+7)*i
  
  
print(ans%(10**9+7))

Fixed submission:
s=int(input())
ans=1
for i in range(1,s+1):
  ans=ans%(10**9+7)*i
  
  
print(ans%(10**9+7))

Buggy python submission (verdict: Runtime Error):
s=int(input())
ans=1
for i in range(1,n+1):
  ans=ans%(10**9+7)*n
  
  
print(ans%(10**9+7))

Fixed submission:
s=int(input())
ans=1
for i in range(1,s+1):
  ans=ans%(10**9+7)*i
  
  
print(ans%(10**9+7))

Buggy python submission (verdict: Runtime Error):
s=int(input())
ans=1
for i in range(1,n+1):
  ans=ans%(10**9+7)*n
  
  
print(ans%(10**9+7))

Fixed submission:
s=int(input())
ans=1
for i in range(1,s+1):
  ans=ans%(10**9+7)*i
  
  
print(ans%(10**9+7))

Buggy python submission (verdict: Runtime Error):
s=int(input())
ans=1
for i in range(1,n+1):
  ans=ans%(10**9+7)*n
  
  
print(ans%1000000007)

Fixed submission:
s=int(input())
ans=1
for i in range(1,s+1):
  ans=ans%(10**9+7)*i
  
  
print(ans%(10**9+7))

Buggy python submission (verdict: Runtime Error):
s=int(input())
ans=1
for i in range(1,n+1):
  ans=ans%(10**9+7)*n
  
  
print(ans%10000000007)

Fixed submission:
s=int(input())
ans=1
for i in range(1,s+1):
  ans=ans%(10**9+7)*i
  
  
print(ans%(10**9+7))

Buggy python submission (verdict: Runtime Error):
#include<bits/stdc++.h>
using namespace std;

int main(){
  long long int n,i,ans=1;
  cin>>n;
  
  for(i=1;i<=n;i++)
  ans=(ans*i)%(10000000007);
  
cout<<ans<<endl;

Fixed submission:
s=int(input())
ans=1
for i in range(1,s+1):
  ans=ans%(10**9+7)*i
  
  
print(ans%(10**9+7))

Buggy python submission (verdict: Runtime Error):
s=int(input())
ans=1
for i in range(1,n+1):
  ans*=i
  
print(ans)

Fixed submission:
s=int(input())
ans=1
for i in range(1,s+1):
  ans=ans%(10**9+7)*i
  
  
print(ans%(10**9+7))
Buggy python submission (verdict: Runtime Error):
import sys

def matmul(a,b):
  mul = a * b
  return mul

if __name__=="__main__":
  li = []
  for i in sys.argv:
    li.append(i)
  a = li[0]
  b = li[1]
  c = matmul(a,b)
  if c%2:
    print("Even")
  else:
    print("Odd")


Fixed submission:
def matmul(a,b):
  c = a*b
  return c

a,b=map(int, input().split())
c = matmul(a,b)
if c%2==0:
  print("Even")
else:
  print("Odd")
Buggy python submission (verdict: Runtime Error):
import numpy
n = int(input())

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

right=numpy.cumsum(test)
left=numpy.cumsum(test[::-1])[::-1]

diff = []

for i in range(n-1):
    diff.append(abs(right[i]-left[i+1]))
    #print(right[i]-left[i+1])
print(min(diff))

Fixed submission:
import numpy

n = int(input())

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

right=numpy.cumsum(test)
left=numpy.cumsum(test[::-1])[::-1]

diff = []

for i in range(n-1):
    diff.append(abs(right[i]-left[i+1]))
print(min(diff))

Buggy python submission (verdict: Runtime Error):
import numpy
n = int(input())

test = list(map(int, input().split()))
answer = []

for i in range(n-1):
    right = sum(test[:i+1])
    left = sum(test[i+1:])
    answer.append(abs(right-left))
print(min(answer))

Fixed submission:
import numpy

n = int(input())

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

right=numpy.cumsum(test)
left=numpy.cumsum(test[::-1])[::-1]

diff = []

for i in range(n-1):
    diff.append(abs(right[i]-left[i+1]))
print(min(diff))
Buggy python submission (verdict: Time Limit Exceeded):
n, m = map(int,input().split())

l,r=map(int, input().split())

test = set([j for j in range(l,r+1)])

for i in range(1, m):
    l,r=map(int, input().split())
    test_1 = set([j for j in range(l,r+1)])
    test = test & test_1
print(len(list(test)))

Fixed submission:
n, m = map(int,input().split())

list_left = []
list_right = []
for i in range(m):
    l,r=map(int, input().split())
    list_left.append(l)
    list_right.append(r)
test=[i for i in range(max(list_left),min(list_right)+1)]
print(len(test))
Buggy python submission (verdict: Runtime Error):
import sympy

a = int(input())

test_list = sympy.divisors(a)
test_list_modify = [i-1 for i in test_list if i > 2 and a//(i-1) == a%(i-1)]
print(sum(test_list_modify))

Fixed submission:
a = int(input())
def make_divisors(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)

    # divisors.sort()
    return divisors


test_list = make_divisors(a)
test_list_modify = [i-1 for i in test_list if i > 2 and a//(i-1) == a%(i-1)]
print(sum(test_list_modify))

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

a = int(input())

test_list = sympy.divisors(a)
test_list_modify = [i-1 for i in test_list if i > 2]
print(test_list_modify)
print(sum(test_list_modify))

Fixed submission:
a = int(input())
def make_divisors(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)

    # divisors.sort()
    return divisors


test_list = make_divisors(a)
test_list_modify = [i-1 for i in test_list if i > 2 and a//(i-1) == a%(i-1)]
print(sum(test_list_modify))

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

a = int(input())

test_list = sympy.divisors(a)
test_list_modify = [i-1 for i in test_list if i > 2 or i!=8]
print(sum(test_list_modify))

Fixed submission:
a = int(input())
def make_divisors(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)

    # divisors.sort()
    return divisors


test_list = make_divisors(a)
test_list_modify = [i-1 for i in test_list if i > 2 and a//(i-1) == a%(i-1)]
print(sum(test_list_modify))
Buggy python submission (verdict: Runtime Error):
import fractions
from functools import reduce

def gcd_list(numbers):
    return reduce(fractions.gcd, numbers)

n = input()
a = list(map(int,input().split()))
answer = 0

if len(a) <= 2:
    answer = max(a)
else:
    for i in range(len(a)):
        a_filter = [k for k in a if k < a[i] or k > a[i]]
        answer_b = gcd_list(a_filter)
        if answer_b > answer:
            answer = answer_b
print(answer)

Fixed submission:
import fractions
n = int(input())
a = [0] + list(map(int,input().split())) + [0]


#はじめと最初の値を代入
L = [0] * (n+2)
R = [0] * (n+2)

for i in range(n):
    L[i+1] = fractions.gcd(L[i], a[i+1])

for j in range(n,0,-1):
    R[j] = fractions.gcd(R[j+1],a[j])

#print(a)
#print(L)
#print(R)

print(max(fractions.gcd(L[k-1],R[k+1]) for k in range(1,len(L)-1)))

Buggy python submission (verdict: Runtime Error):
import fractions
from functools import reduce

def gcd_list(numbers):
    return reduce(fractions.gcd, numbers)

n = input()
a = list(map(int,input().split()))
answer = 0

if len(a) == 2:
    answer = max(a)
else:
    for i in range(len(a)):
        val = a[i]
        a_filter = [k for k in a if str(k)!=str(val)]
        answer_b = gcd_list(a_filter)
        if answer_b > answer:
            answer = answer_b
print(answer)

Fixed submission:
import fractions
n = int(input())
a = [0] + list(map(int,input().split())) + [0]


#はじめと最初の値を代入
L = [0] * (n+2)
R = [0] * (n+2)

for i in range(n):
    L[i+1] = fractions.gcd(L[i], a[i+1])

for j in range(n,0,-1):
    R[j] = fractions.gcd(R[j+1],a[j])

#print(a)
#print(L)
#print(R)

print(max(fractions.gcd(L[k-1],R[k+1]) for k in range(1,len(L)-1)))

Buggy python submission (verdict: Runtime Error):
import math
from functools import reduce

def gcd_list(numbers):
    return reduce(math.gcd, numbers)

n = input()
a = list(map(int,input().split()))
answer = 0

if len(a) == 2:
    answer = max(a)
else:
    for i in range(len(a)):
        val = a[i]
        a_filter = [k for k in a if str(k)!=str(val)]
        answer_b = gcd_list(a_filter)
        if answer_b > answer:
            answer = answer_b
print(answer)

Fixed submission:
import fractions
n = int(input())
a = [0] + list(map(int,input().split())) + [0]


#はじめと最初の値を代入
L = [0] * (n+2)
R = [0] * (n+2)

for i in range(n):
    L[i+1] = fractions.gcd(L[i], a[i+1])

for j in range(n,0,-1):
    R[j] = fractions.gcd(R[j+1],a[j])

#print(a)
#print(L)
#print(R)

print(max(fractions.gcd(L[k-1],R[k+1]) for k in range(1,len(L)-1)))

Buggy python submission (verdict: Time Limit Exceeded):
n = input()
a = list(map(int,input().split()))
max_a = max(a)
for i in range(max_a,0,-1):
    diff = [-1 if a[k]%i > 0 else 0 for k in range(len(a))]
    if sum(diff) == -1 or sum(diff) ==0:
        print(i)
        break

Fixed submission:
import fractions
n = int(input())
a = [0] + list(map(int,input().split())) + [0]


#はじめと最初の値を代入
L = [0] * (n+2)
R = [0] * (n+2)

for i in range(n):
    L[i+1] = fractions.gcd(L[i], a[i+1])

for j in range(n,0,-1):
    R[j] = fractions.gcd(R[j+1],a[j])

#print(a)
#print(L)
#print(R)

print(max(fractions.gcd(L[k-1],R[k+1]) for k in range(1,len(L)-1)))
Buggy python submission (verdict: Time Limit Exceeded):
l = input()
mod = 10**9 + 7
r = 0
one = 0

for i in range(0, len(l)):
    if l[i] == "1":
        r = (r + pow(2, one) * pow(3, len(l) - i - 1, mod)) % mod
        one += 1

r = (r + pow(2, one)) % mod

print(r)

Fixed submission:
l = input()
mod = 10**9 + 7
r = 0
one = 0

for i in range(0, len(l)):
    if l[i] == "1":
        r = (r + pow(2, one, mod) * pow(3, len(l) - i - 1, mod)) % mod
        one += 1

r = (r + pow(2, one, mod)) % mod

print(r)
Buggy python submission (verdict: Runtime Error):
n, m = [int(i) for i in input().split(" ")]
a = [int(i) for i in input().split(" ")]
a = sorted(a)
q = []

for j in range(0, m):
    q.append([int(i) for i in input().split(" ")])

q = sorted(q, key=lambda k: k[1], reverse=True)

p = 0

for t in q:
    b, c = t
    pi = 0
    for i in range(b):
        if a[p + i] < c:
            a[p + i] = c
            pi += 1
        else:
            break
    p += pi

print(sum(a))

Fixed submission:
n, m = [int(i) for i in input().split(" ")]
a = [int(i) for i in input().split(" ")]
a = sorted(a)
q = []

for j in range(0, m):
    q.append([int(i) for i in input().split(" ")])

q = sorted(q, key=lambda k: k[1], reverse=True)

p = 0

for t in q:
    b, c = t
    pi = 0
    for i in range(b):
        if p + i < n and a[p + i] < c:
            a[p + i] = c
            pi += 1
        else:
            break
    p += pi

print(sum(a))
Buggy python submission (verdict: Runtime Error):
n = int(input())
s = []
for i in range(0, n):
    s.append(input())

c = 0
a = 0
b = 0
ab = 0

for i in range(0, n):
    for j in range(1, len(s[i])):
        if s[i][j-1:j+1] == "AB":
            c += 1
    if s[i][-1] == "A" and s[i][0] == "B":
        ab += 1
    else: 
        if s[i][0] == "B":
            b += 1
        if s[i][-1] == "A":
            a += 1

s = c
s += min(a, b)
a -= min(a, b)
b -= min(a, b)

if(ab > 0):
    s += ab - 1
    if(a > 0):
        s += 1
    if(b > 0):
        s += 1

print(s)

Fixed submission:
n, k = [int(i) for i in input().split(" ")]
print(n - k + 1)
Buggy python submission (verdict: Time Limit Exceeded):
r, g, b, n = [int(i) for i in input().split(" ")]
c = 0
for i in range(0, n // r + 1):
    for j in range(0, n // g + 1):
        t = n - i * r - j * g
        if t >= 0 and t % b == 0:
            c += 1
print(c)

Fixed submission:
r, g, b, n = [int(i) for i in input().split(" ")]
c = 0
for i in range(0, n // r + 1):
    for j in range(0, n // g + 1):
        t = n - i * r - j * g
        if t >= 0 and t % b == 0:
            c += 1
print(c)
Buggy python submission (verdict: Time Limit Exceeded):
x, y, z, k = [int(i) for i in input().split(" ")]
a = [int(i) for i in input().split(" ")]
b = [int(i) for i in input().split(" ")]
c = [int(i) for i in input().split(" ")]
top_bc = []

for bi in b:
    for ci in c:
        top_bc.append(bi + ci)

top_bc = sorted(top_bc, reverse=True)

top_ak = []

for ki in top_bc[0:k]:
    for ai in a:
        top_ak.append(ai + ki)

top_ak = sorted(top_ak, reverse=True)

for top_k in top_ak[0:k]:
    print(top_k)

Fixed submission:
x, y, z, k = [int(i) for i in input().split(" ")]
a = [int(i) for i in input().split(" ")]
b = [int(i) for i in input().split(" ")]
c = [int(i) for i in input().split(" ")]
top_bc = []

for bi in b:
    for ci in c:
        top_bc.append(bi + ci)

top_bc = sorted(top_bc, reverse=True)

top_ak = []

for ki in top_bc[0:k]:
    for ai in a:
        top_ak.append(ai + ki)

top_ak = sorted(top_ak, reverse=True)

for top_k in top_ak[0:k]:
    print(top_k)
Buggy python submission (verdict: Runtime Error):
a, b, c = [int(i) for i in input().split(" ")]
if a == b and b == c
    print("Yes")
else:
    print("No")

Fixed submission:
a, b, c = [int(i) for i in input().split(" ")]
if a == b and b == c:
    print("Yes")
else:
    print("No")
Buggy python submission (verdict: Time Limit Exceeded):
n, a, b = [int(i) for i in input().split(" ")]

def p2l(x):
    l = []
    for i in range(0, n):
        l = [x % 2] + l
        x = x // 2
    return l

def l2p(x):
    return sum([x[i] * 2**(len(x) - i - 1) for i in range(0, len(x))])

al = p2l(a)
bl = p2l(b)

def gray(a, b):
    if len(a) == 1:
        return [a, b]
    
    for i in range(0, len(a)):
        if a[i] != b[i]:
            break
    ah = a[i]
    bh = b[i]
    del a[i]
    del b[i]
    
    c = [1 - a[0]] + a[1:]
    g1 = gray(a[:], c[:])
    g2 = gray(c[:], b[:])
    g1 = [h[0:i] + [ah] + h[i:] for h in g1]
    g2 = [h[0:i] + [bh] + h[i:] for h in g2]
    return g1 + g2

if sum(al) % 2 != sum(bl) % 2:
    print("YES")
    g = gray(al, bl)
    p = [l2p(gi) for gi in g]
    print(' '.join(map(str, p)))
else:
    print("NO")

Fixed submission:
n, a, b = [int(i) for i in input().split(" ")]

def p2l(x):
    l = []
    for i in range(0, n):
        l = [x % 2] + l
        x = x // 2
    return l

def l2p(x):
    return sum([x[i] * 2**(len(x) - i - 1) for i in range(0, len(x))])

al = p2l(a)
bl = p2l(b)

def gray(a, b):
    if len(a) == 1:
        return [a, b]
    
    for i in range(0, len(a)):
        if a[i] != b[i]:
            break
    ah = a[i]
    bh = b[i]
    del a[i]
    del b[i]
    
    c = [1 - a[0]] + a[1:]
    g1 = gray(a[:], c[:])
    g2 = gray(c[:], b[:])
    g1 = [h[0:i] + [ah] + h[i:] for h in g1]
    g2 = [h[0:i] + [bh] + h[i:] for h in g2]
    return g1 + g2

if sum(al) % 2 != sum(bl) % 2:
    print("YES")
    g = gray(al, bl)
    p = [l2p(gi) for gi in g]
    print(' '.join(map(str, p)))
else:
    print("NO")
Buggy python submission (verdict: Runtime Error):
print(min(B//A), C)

Fixed submission:
a, b, c = [int(i) for i in input().split(" ")]
print(min(b//a, c))
Buggy python submission (verdict: Time Limit Exceeded):
from math import factorial

def comb(n, r):
    return factorial(n) // factorial(r) // factorial(n - r)

n, m= [int(i) for i in input().split(" ")]

c = []
i = 2
mt = m

while i * i <= mt:
    ci = 0
    while mt % i == 0:
        mt = mt // i
        ci += 1
    if ci > 0:
        c.append(ci)
    i += 1
if mt > 1:
    c.append(1)
    
p = 1
for j in range(0, len(c)):
    p *= comb(n - 1 + c[j], c[j])

print(p % (10**9 + 7))

Fixed submission:
from operator import mul
from functools import reduce

def comb(n,r):
    r = min(n-r,r)
    if r == 0: return 1
    over = reduce(mul, range(n, n - r, -1))
    under = reduce(mul, range(1,r + 1))
    return over // under

n, m= [int(i) for i in input().split(" ")]

c = []
i = 2
mt = m

while i * i <= mt:
    ci = 0
    while mt % i == 0:
        mt = mt // i
        ci += 1
    if ci > 0:
        c.append(ci)
    i += 1
if mt > 1:
    c.append(1)
    
p = 1
for j in range(0, len(c)):
    p *= comb(n - 1 + c[j], c[j])

print(p % (10**9 + 7))

Buggy python submission (verdict: Runtime Error):
from scipy.special import comb

n, m= [int(i) for i in input().split(" ")]

c = []
i = 2
mt = m

while i * i <= mt:
    ci = 0
    while mt % i == 0:
        mt = mt // i
        ci += 1
    if ci > 0:
        c.append(ci)
    i += 1
if mt > 1:
    c.append(1)
    
p = 1
for j in range(0, len(c)):
    p *= comb(n - 1 + c[j], c[j], exact=True)

print(p % (10**9 + 7))

Fixed submission:
from operator import mul
from functools import reduce

def comb(n,r):
    r = min(n-r,r)
    if r == 0: return 1
    over = reduce(mul, range(n, n - r, -1))
    under = reduce(mul, range(1,r + 1))
    return over // under

n, m= [int(i) for i in input().split(" ")]

c = []
i = 2
mt = m

while i * i <= mt:
    ci = 0
    while mt % i == 0:
        mt = mt // i
        ci += 1
    if ci > 0:
        c.append(ci)
    i += 1
if mt > 1:
    c.append(1)
    
p = 1
for j in range(0, len(c)):
    p *= comb(n - 1 + c[j], c[j])

print(p % (10**9 + 7))
Buggy python submission (verdict: Time Limit Exceeded):
import math

n = int(input())
a = [int(i) for i in input().split(" ")]

m = n * (n + 1) // 2

class BIT:
    def __init__(self, n):
        self.t = [0] * (n + 1)
    
    def sum(self, i):
        s = 0
        while i > 0:
            s += self.t[i]
            i -= (i & -i)
        return s
    
    def add(self, i, v):
        while i < len(self.t):
            self.t[i] += v
            i += (i & -i)

def count(s):
    s_min = min(s)
    b = BIT(max(s) - s_min + 1)
    t = [0] * len(s)
    for j in range(0, len(s)):
        t[j] = b.sum(s[j] - s_min + 1)
        b.add(s[j] - s_min + 1, 1)
    return sum(t)
            
def bs(l, r):
    if l == r:
        return l
    else:
        h = math.ceil((l + r) / 2)
        
        ab = [-1 if a[i] < h else 1 for i in range(0, n)]
        s = [0] * n
        s[0] = ab[0]
        for i in range(1, n):
            s[i] = s[i - 1] + ab[i]
            
        if count(s) + sum([(i + 1) // 2 for i in ab]) >= math.ceil(m / 2):
            return bs(h, r)
        else:
            return bs(l, h - 1)
        
print(bs(min(a), max(a)))

Fixed submission:
import math
 
n = int(input())
a = [int(i) for i in input().split(" ")]

m = n * (n + 1) // 2
 
class BIT:
    def __init__(self, n):
        self.t = [0] * (n + 1)
    
    def sum(self, i):
        s = 0
        while i > 0:
            s += self.t[i]
            i -= (i & -i)
        return s
    
    def add(self, i, v):
        while i < len(self.t):
            self.t[i] += v
            i += (i & -i)
            
def count(s):
    s_min = min(s)
    b = BIT(max(s) - s_min + 1)
    t = [0] * len(s)
    for j in range(0, len(s)):
        t[j] = b.sum(s[j] - s_min + 1)
        b.add(s[j] - s_min + 1, 1)
    return sum(t)
            
def bs(l, r):
    if l == r:
        return l
    else:
        h = math.ceil((l + r) / 2)
        
        ab = [-1 if a[i] < h else 1 for i in range(0, n)]
        s = [0] * (n + 1)
        
        for i in range(1, n + 1):
            s[i] = s[i - 1] + ab[i - 1]
            
        if count(s) >= math.ceil(m / 2):
            return bs(h, r)
        else:
            return bs(l, h - 1)
        
print(bs(min(a), max(a)))