Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
from itertools import combinations
import sys
n, k = map(int, sys.stdin.readline().split())

lst = {i for i in range(0, n+1)}
re = 0
for i in range(k, n+1):
    temp = set(combinations(lst, i))
    tt = {sum(j) for j in temp}
    re += len(tt)

print(re+1)

Fixed submission:
import sys
n, k = map(int, sys.stdin.readline().split())
ans = 0
mod = 10**9+7
for i in range(k, n+2):
    ans += (n-i+1)*i + 1
ans %= mod
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from itertools import combinations

n, k = map(int, input().split())

lst = {i for i in range(0, n+1)}
re = 0
for i in range(k, n+1):
    temp = set(combinations(lst, i))
    tt = {sum(j) for j in temp}
    re += len(tt)

print(re+1)

Fixed submission:
import sys
n, k = map(int, sys.stdin.readline().split())
ans = 0
mod = 10**9+7
for i in range(k, n+2):
    ans += (n-i+1)*i + 1
ans %= mod
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from itertools import combinations

n, k = map(int, input().split())

lst = {i for i in range(0, n+1)}
re = 0
for i in range(k, n+2):
    temp = set(combinations(lst, i))
    tt = {sum(j) for j in temp}
    re += len(tt)

print(re)

Fixed submission:
import sys
n, k = map(int, sys.stdin.readline().split())
ans = 0
mod = 10**9+7
for i in range(k, n+2):
    ans += (n-i+1)*i + 1
ans %= mod
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from itertools import combinations

n, k = map(int, input().split())

lst = [i for i in range(0, n+1)]
re = 0
for i in range(k, n+2):
    temp = list(combinations(lst, i))
    tt = set()
    for j in temp:
        tt.add(sum(j))
    re += len(tt)

print(re)

Fixed submission:
import sys
n, k = map(int, sys.stdin.readline().split())
ans = 0
mod = 10**9+7
for i in range(k, n+2):
    ans += (n-i+1)*i + 1
ans %= mod
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
import math

k = int(input())

res = 0

for i in range(1, k+1):
    for j in range(1, k+1):
        for l in range(1, k+1):
            res += math.gcd(math.gcd(i, j), l)

print(res)

Fixed submission:
import math

k = int(input())

res = 0

for i in range(1, k+1):
    for j in range(1, k+1):
        x = math.gcd(i, j)
        for l in range(1, k+1):
            res += math.gcd(x, l)

print(res)
Buggy python submission (verdict: Runtime Error):
n = int(input())
arr = list(map(int,input().split()))
cur=1000
for i in range(n-1):
  p=0
  if arr[i] < arr[i+1]:
    p=cur // a[i]
  cur += (arr[i+1] - arr[i])*cur
print(cur)

Fixed submission:
n = int(input())
arr = list(map(int,input().split()))
cur=1000
for i in range(n-1):
  p=0
  if arr[i] < arr[i+1]:
    p=cur // arr[i]
  cur += (arr[i+1] - arr[i])*p
print(cur)
Buggy python submission (verdict: Runtime Error):
import math
a,b=map(int,input().split())
print(int(a*b/math.gcd(a,b)))

Fixed submission:
import fractions
a, b = map(int, input().split())
print(a*b//fractions.gcd(a, b))
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
a=list(map(int,input().split()))
ans=[]
for i in range(n):
    print(a.index(i+1)+1, end=" ")

Fixed submission:
n=int(input())
a=list(map(int,input().split()))
ans=[]
for i in range(n):
    ans.append([a[i], i+1])
ans.sort()
for i in ans:
    print(i[1], end=" ")

Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
a=list(map(int,input().split()))
ans=[]
for i in range(n):
    ans.append(a.index(i+1)+1)
print(" ".join([str(x) for x in ans]))

Fixed submission:
n=int(input())
a=list(map(int,input().split()))
ans=[]
for i in range(n):
    ans.append([a[i], i+1])
ans.sort()
for i in ans:
    print(i[1], end=" ")
Buggy python submission (verdict: Time Limit Exceeded):
n, k, q = map(int, input().split())
a = []
for i in range(q):
    t = int(input())
    a.append(t)
m = [k] * n
for i in a:
    for j in range(n):
        if j != i - 1:
            m[j] -= 1
for i in m:
    print("Yes" if i>0 else "No")

Fixed submission:
n, k, q = map(int, input().split())
a = []
for i in range(q):
    t = int(input())
    a.append(t)
m = [k - q] * n
for i in a:
    m[i-1] += 1
for i in m:
    print("Yes" if i>0 else "No")
Buggy python submission (verdict: Runtime Error):
n=int(input())
h=list(map(int,input().split()))
if n==1:
  print("Yes")
else:
  l=0
  s="Yes"
  for i in range(n):
    if h[i]>=l:
      l=h[i]
    if l-h[i]>=2:
      s="No"
      break
print(s)

Fixed submission:
n=int(input())
h=list(map(int,input().split()))
if n==1:
  print("Yes")
else:
  l=0
  s="Yes"
  for i in range(n):
    if h[i]>=l:
      l=h[i]
    if l-h[i]>=2:
      s="No"
      break
  print(s)
Buggy python submission (verdict: Runtime Error):
import sys
n,x=map(int,input().split())
l=list(map(int,input().split()))
t=0
c=0
for i in range(n+1):
  t+=l[i]
  c+=1
  if t>x:
    print(c)
    sys.exit()
print(len(l))

Fixed submission:
n,x=map(int,input().split())
l=list(map(int,input().split()))
t=0
c=1
for i in range(n):
    t+=l[i]
    if t>x:
        break
    c+=1
print(c)

Buggy python submission (verdict: Runtime Error):
import sys
n,x=map(int,input().split())
l=list(map(int,input().split()))
t=0
c=0
for i in range(n+1):
  t+=l[i]
  c+=1
  if t>x:
    print(c)
    sys.exit()

Fixed submission:
n,x=map(int,input().split())
l=list(map(int,input().split()))
t=0
c=1
for i in range(n):
    t+=l[i]
    if t>x:
        break
    c+=1
print(c)
Buggy python submission (verdict: Runtime Error):
n=int(input())
s=list(input())
k=int(input())
l=s[k-1]
for i in range(n):
  if s[i]!=l:
    s[i]="*"
print("".join(s))

Fixed submission:
a,b,c=map(int,input().split())
if a<c<b or b<c<a:
    print("Yes")
else:
    print("No")
Buggy python submission (verdict: Runtime Error):
a.b=list(map(int,input().split()))
if a==b:
  print(max([a,b])*2)
else:
  print(max([a,b])*2-1)

Fixed submission:
a,b=list(map(int,input().split()))
c=max([a,b])
if a<b:
    b-=1
else:
    a-=1
d=max([a,b])
print(c+d)

Buggy python submission (verdict: Runtime Error):
a=list(map(int,input().split()))
if a==b:
  print(max(a)*2)
else:
  print(max(a)*2-1)

Fixed submission:
a,b=list(map(int,input().split()))
c=max([a,b])
if a<b:
    b-=1
else:
    a-=1
d=max([a,b])
print(c+d)
Buggy python submission (verdict: Runtime Error):
a=int(input())
b=int(input())
c=int(input())
d=int(input())
e=int(input())
k=int(input())
if abs(a-b)<k and abs(a-c)<k and abs(a-d)<k and abs(a-e)<k and abs(b-c)<k and abs(b-d)<k and abs(b-e)<k and abs(c-d)<k and abs(c-e)<k and abs(d-e)<k:
  print("Yay!")
else
  print(":(")

Fixed submission:
a=int(input())
b=int(input())
c=int(input())
d=int(input())
e=int(input())
k=int(input())
if (b-a)<=k and (c-a)<=k and (d-a)<=k and (e-a)<=k and (c-b)<=k and (d-b)<=k and (e-b)<=k and (d-c)<=k and (e-c)<=k and (e-d)<=k:
    print("Yay!")
else:
    print(":(")
Buggy python submission (verdict: Runtime Error):
t, x = map(int,input(),split())
print(t/x)

Fixed submission:
t,x=map(int,input().split())
print(str(t/x))
Buggy python submission (verdict: Runtime Error):
n=input()
d=["9":"1","1":"9"]
"".join(d[x] for x in n)

Fixed submission:
n=input()
d={"9":"1","1":"9"}
print("".join(d[x] for x in n))

Buggy python submission (verdict: Runtime Error):
n=input()
d={"9":"1","1":"9"}
"".join(d[x] for in n)

Fixed submission:
n=input()
d={"9":"1","1":"9"}
print("".join(d[x] for x in n))
Buggy python submission (verdict: Runtime Error):
a, b = map(int,input().split())
if (a * b) % 2 == 0:
  print("Even")
else
  print("Odd")

Fixed submission:
a, b = map(int,input().split())
if (a * b) % 2 == 0:
  print("Even")
else:
  print("Odd")

Buggy python submission (verdict: Runtime Error):
a, b = map(int,input().split())
if (a * b) % 2 == 0:
  print("Even")
elif
  print("Odd")

Fixed submission:
a, b = map(int,input().split())
if (a * b) % 2 == 0:
  print("Even")
else:
  print("Odd")

Buggy python submission (verdict: Runtime Error):
a, b = map(int,input().split())
if a * b % 2 == 0:
  print("Even")
elif
  print("Odd")

Fixed submission:
a, b = map(int,input().split())
if (a * b) % 2 == 0:
  print("Even")
else:
  print("Odd")

Buggy python submission (verdict: Runtime Error):
a, b = input().split()
if a * b % 2 == 0:
  print("Even")
elif
  print("Odd")

Fixed submission:
a, b = map(int,input().split())
if (a * b) % 2 == 0:
  print("Even")
else:
  print("Odd")
Buggy python submission (verdict: Runtime Error):
n, k = map(int, input().split())
a = list(map(int, input().split()))
result = max(a)
left = 1
right = result
med = left + (right - left) // 2
while left <= right:
    counter = sum([(x - 1) // med for x in a])
    if counter <= k:
        result = med
        right = med - 1
    else:
        left = med + 1
    med = left + (right - left) // 2
print(result)

Fixed submission:
n = int(input())
s = input()
number_of_W_in_prefix = [0]
number_of_R_in_suffix = [0]
for i in range(n):
    number_of_W_in_prefix.append(number_of_W_in_prefix[i] + (s[i] == 'W'))
    number_of_R_in_suffix.append(number_of_R_in_suffix[i] + (s[n - i - 1] == 'R'))
result = n
for k in range(n + 1):
    result = min(result, max(number_of_W_in_prefix[k], number_of_R_in_suffix[n - k]))
print(result)
Buggy python submission (verdict: Time Limit Exceeded):
def factorization(n):
    arr = []
    temp = n
    for i in range(2, int(-(-n**0.5//1))+1):
        if temp%i==0:
            cnt=0
            while temp%i==0:
                cnt+=1
                temp //= i
            arr.append([i, cnt])

    if temp!=1:
        arr.append([temp, 1])

    if arr==[]:
        arr.append([n, 1])

    return arr


k=int(input())
#print(prime_factorize(k))
l=factorization(k)
#print(l)
mnum=0
for i in range(len(l)):
    mnum=max(mnum,l[i][0]**l[i][1])
#print(mnum)
if k%2==0:
    print(-1)
    exit()
for i in range(k):
#for i in range(mnum):
    n=int("7"*(i+1))
#    print(n)
    if n%k==0:
        print(i+1)
        exit()
print(-1)


Fixed submission:
k=int(input())
n=7
for i in range(k+1):
    if n%k==0:
        print(i+1)
        exit()
    n=(10*n+7)%k
print(-1)
Buggy python submission (verdict: Runtime Error):
n,m,k=map(int,input().split())
a=list(map(int,input().split()))
b=list(map(int,input().split()))
#print(a)
asum=[]
bsum=[]
cnt=0
for i in range(n):
    cnt+=a[i]
    asum.append(cnt)
    if cnt>k:
        amx=i
        break
    amx=i
#print("amx=",amx)

cnt=0
for i in range(m):
    cnt+=b[i]
    bsum.append(cnt)
    if cnt>k:
        bmx=i
        break
    bmx=i
#print("bmx=",bmx)

ans=0
for i in range(amx+1):
    c=k-asum[i]
#    print("i=",i)
#    print("c=",c)
    if c<0:
        continue
    elif i==0:
#        for j in range(bmx,0,-1):
        for j in reversed(range(0,bmx+1)):
#            print(j)
#            print(bsum[j])
            if c>=bsum[j]:
                tmp=i+j+2
                l=j
#                print("l=",l)
                break
    else:
        while(c<bsum[l]):
            l-=1
        tmp=i+l+2
    ans=max(ans,tmp)
#    print("ans=",ans)
print(ans)


Fixed submission:
n,m,k=map(int,input().split())
a=list(map(int,input().split()))
b=list(map(int,input().split()))
#print(a)
asum=[0]
bsum=[0]
cnt=0
for i in range(n):
    cnt+=a[i]
    asum.append(cnt)
#    if cnt>k:
#        amx=i
#        break
#    amx=i
#print("amx=",amx)

cnt=0
for i in range(m):
    cnt+=b[i]
    bsum.append(cnt)
#    if cnt>k:
#        bmx=i
#        break
#    bmx=i
#print("bmx=",bmx)

ans=0
j=m
for i in range(n+1):
    c=k-asum[i]
#    print("i=",i)
#    print("c=",c)
    if c<0:
        continue
    while c<bsum[j] and j>0:
        j-=1
    ans=max(ans,i+j)
#    print("ans=",ans)
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
import sys
sys.setrecursionlimit(10**6)

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

ans=1
for i in range(n):
    ans*=a[i]

if ans>10**18:
    print(-1)
else:
    print(ans)



Fixed submission:
import sys
sys.setrecursionlimit(10**6)

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

for i in range(n):
    if a[i]==0:
        print(0)
        exit()

ans=1
for i in range(n):
#    print(ans)
    if ans>10**18:
        print(-1)
        exit()
    else:
        ans*=a[i]

if ans>10**18:
    print(-1)
else:
    print(ans)
Buggy python submission (verdict: Runtime Error):
import sys
sys.setrecursionlimit(10**6)

a,b=input().split()

#print(a)
#print(b)
ans=int(a)*int(b*100)
ans=ans//100

print(ans)


Fixed submission:
from decimal import *
import sys
sys.setrecursionlimit(10**6)

a,b=input().split()

ans=int(Decimal(a)*Decimal(b))

print(ans)
Buggy python submission (verdict: Runtime Error):
import sys
sys.setrecursionlimit(10**6)

def count(s: str):
    p=0
    for i in range(len(s)):
        if s[i]=="D":
            p+=1
        if s[i]=="P":
            if i<len(s)-1 and s[i+1]=="D":
                p+=1
    return p


t=input()

#print(len(t))

a=[]
j=0
for i in range(len(t)):
    if t[i]=="?":
        a.append(i)
        j+=1       
#print(a)

s=j
tt=t
#print(tt[1])
tt_list=list(tt)
#print(tt_list)

max_score=0
for i in range(2**s):
#    bin_str=bin(i).zfill(s+2)
    bin_str=format(i,'b').zfill(s)
#    print("bin_str=",bin_str)
#    print(bin_str[1])
    for j in range(len(bin_str)):
        if bin_str[j]=="0":
            tt_list[a[j]]="P"
        else: # :1
            tt_list[a[j]]="D"
    score=count("".join(tt_list))
#    print(score)
#    print("".join(tt_list))
    max_score=max(max_score,score)

for i in range(2**s):
    bin_str=format(i,'b').zfill(s)
#    print("bin_str=",bin_str)
#    print(bin_str[1])
    for j in range(len(bin_str)):
        if bin_str[j]=="0":
            tt_list[a[j]]="P"
        else: # :1
            tt_list[a[j]]="D"
    score=count("".join(tt_list))
    if score==max_score:
        print("".join(tt_list))
        exit()


Fixed submission:
import sys
sys.setrecursionlimit(10**6)

t=input()

a=[]
j=0
for i in range(len(t)):
    if t[i]=="?":
        a.append("D")
    else:
        a.append(t[i])

print("".join(a))
#print(a)
Buggy python submission (verdict: Runtime Error):
import math
#import decimal
#decimal.getcontext().prec = 12

#getcontext().prec=20
a,b,h,m=map(int,input().split())
#a=decimal.Decimal(a)
#b=decimal.Decimal(b)
#h=decimal.Decimal(h)
#m=decimal.Decimal(m)

#print(a,b,h,m)

#ang1=decimal.Decimal(360*(h/12)+30*m/60)
#ang2=decimal.Decimal(360*m/60)
#ang=decimal.Decimal(abs(ang1-ang2))
ang1=360*(h/12)+30*m/60
ang2=360*m/60
ang=abs(ang1-ang2)
#print(ang)
if ang>=180.0:
#    ang=ang-180.0
    ang=360.0-ang

#print(ang)
#ans = ((a)**2 + (b)**2 - decimal.Decimal(2.0)*(a)*(b)*decimal.Decimal(math.cos(math.radians(ang))))
ans = a**2 + b**2 - 2.0*a*b*math.cos(math.radians(ang))
ans = math.sqrt(ans)
#print(math.cos(math.radians(ang)))

print(ans)

Fixed submission:
s=input()
#print(s)
a=int(s[-1])
#print(a)

if a==3:
    print("bon")
elif a==0 or a==1 or a==6 or a==8:
    print('pon')
else:
    print("hon")
Buggy python submission (verdict: Time Limit Exceeded):
import sys
sys.setrecursionlimit(10**6)

s=list(input())
n=len(s)

count=0
flag=1
while flag!=0:
    flag=0
    for i in range(n):
        if s[i]=="#":
            continue 
        for j in range(i,n):
            if s[i]!=s[j] and s[j]!="#":
                s[i]="#"
                s[j]="#"
                flag+=1
                count+=1
                break
    if flag==0:
        print(2*count)



Fixed submission:
import sys
sys.setrecursionlimit(10**6)

s=list(input())
n=len(s)

#print(s[0],s[1])

cnt0=0
cnt1=0
for i in range(n):
    if s[i]=="0":
        cnt0+=1
    elif s[i]=="1":
        cnt1+=1

print(2*min(cnt0,cnt1))
Buggy python submission (verdict: Runtime Error):
import sys
import numpy as np
import math
from functools import reduce
sys.setrecursionlimit(10**6)

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

#b=1
#for i in range(n):
#    b*=a[i]

def lcm_base(x,y):
    return (x*y)//math.gcd(x,y)
def lcm_list(numbers):
    return reduce(lcm_base, numbers, 1)
c=lcm_list(a)

#print(b)
#print(c)

ans=0
for j in range(n):
    ans+=(c-1)%a[j]

#ans=0
##for i in range(b):
#for i in range(c):
#    f=0
#    for j in range(n):
#        f+=(i+1)%a[j]
#    ans=max(ans,f)

print(ans)



Fixed submission:
import sys
import numpy as np
import math
from functools import reduce
sys.setrecursionlimit(10**6)

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

b=1
for i in range(n):
    b*=a[i]

#def lcm_base(x,y):
#    return (x*y)//math.gcd(x,y)
#def lcm_list(numbers):
#    return reduce(lcm_base, numbers, 1)
#c=lcm_list(a)

#print(b)
#print(c)

ans=0
for j in range(n):
    ans+=(b-1)%a[j]
#    ans+=(c-1)%a[j]

#ans=0
##for i in range(b):
#for i in range(c):
#    f=0
#    for j in range(n):
#        f+=(i+1)%a[j]
#    ans=max(ans,f)

print(ans)
Buggy python submission (verdict: Runtime Error):
n=int(input())
#print(n)                                                                                                     
#a=input().split()                                                                                            
a=[int(x) for x in input().split()]
#a=map(int,input().split())                                                                                   
#print(a)                                                                                                     
#print(a[0]+a[1])                                                                                             
count=0
while True:
    flag=0
#    print(a)                                                                                                 
    for i in range(n):
        if((a[i] % 2)==0):
#        if((a[i]!=1) and (a[i] % 2)==0):                                                                     
            flag+=0
            a[i]=a[i]/2
        else:
            flag+=1
#    print(flag)                                                                                              
    if(flag!=0):
        break
    else:
        count+=1
#        print(count)                                                                                         

print(count)


Fixed submission:
a=int(input())
b1=a // 100
b2=a % 100
c1=b2 // 10
c2=b2 % 10
print(b1+c1+c2)

Buggy python submission (verdict: Runtime Error):
n=int(input())
#print(n)                                                                                                     
#a=input().split()                                                                                            
a=[int(x) for x in input().split()]
#a=map(int,input().split())                                                                                   
#print(a)                                                                                                     
#print(a[0]+a[1])                                                                                             
count=0
while True:
    flag=0
#    print(a)                                                                                                 
    for i in range(n):
        if((a[i] % 2)==0):
#        if((a[i]!=1) and (a[i] % 2)==0):                                                                     
            flag+=0
            a[i]=a[i]/2
        else:
            flag+=1
#    print(flag)                                                                                              
    if(flag!=0):
        break
    else:
        count+=1
#        print(count)                                                                                         

print(count)


Fixed submission:
a=int(input())
b1=a // 100
b2=a % 100
c1=b2 // 10
c2=b2 % 10
print(b1+c1+c2)
Buggy python submission (verdict: Time Limit Exceeded):
import collections
n,k=map(int,input().split())
a=list(map(int,input().split()))
count=0
b=len(collections.Counter(a))
#print(b)
for i in range(min(k,b)):
    count+=collections.Counter(a).most_common()[i][1]
#    print(count)
ans=len(a)-count
print(ans)

Fixed submission:
import collections
n,k=map(int,input().split())
a=list(map(int,input().split()))
a.sort()
count=0
b=len(collections.Counter(a))
c=collections.Counter(a).most_common()
#print(b)
for i in range(min(k,b)):
    count+=c[i][1]
#    print(count)
ans=len(a)-count
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
s=[]
for i in range(n):
    s.append(int(input()))
ans=0
for i in range(2**n):
    score=0
    for j in range(n):
        if i>>j&1:
            score+=s[j]
    if score%10!=0:
        ans=max(ans,score)
print(ans)


Fixed submission:
n=int(input())
s=[]
for i in range(n):
    s.append(int(input()))
s.sort()

if sum(s)%10==0:
    for i in range(n):
        if s[i]%10!=0:
            print(sum(s)-s[i])
            exit()
    print(0)
    exit()
print(sum(s))
Buggy python submission (verdict: Time Limit Exceeded):
#!/usr/local/bin/python3

'''
Author: andyli
Time: 2020-06-24 21:10:25
'''

mod = 10**9 + 7

m = int(input())
n = len(input())
t = n+m

fac = [0]*(t+1)
ifac = [0]*(t+1)
pw = [0] * (t+1)
fac[0] = 1
for i in range(1, t+1):
    fac[i] = fac[i-1] * i % mod
ifac[t] = pow(fac[t], mod-2, mod)

for i in range(t-1, -1, -1):
    ifac[i] = ifac[i+1] * (i+1) % mod

pw[0] = 1
for i in range(1, t+1):
    pw[i] = pw[i-1] * 25 % mod

def C(n, m):
    return fac[n]*ifac[m]*ifac[n-m]%mod

ans=0
for i in range(n, t+1):
    ans = (ans + pw[t-i] * C(t, i)) % mod

print(ans)

Fixed submission:
#!/usr/local/bin/python3

'''
Author: andyli
Time: 2020-06-24 21:10:25
'''

mod = 10**9 + 7

m = int(input())
n = len(input())
t = n+m

fac = [0]*(t+1)
ifac = [0]*(t+1)
pw = [0] * (t+1)
fac[0] = 1
for i in range(1, t+1):
    fac[i] = fac[i-1] * i % mod
ifac[t] = pow(fac[t], mod-2, mod)

for i in range(t-1, -1, -1):
    ifac[i] = ifac[i+1] * (i+1) % mod

pw[0] = 1
for i in range(1, t+1):
    pw[i] = pw[i-1] * 25 % mod

def C(n, m):
    return fac[n]*ifac[m]*ifac[n-m]%mod

ans=0
for i in range(n, t+1):
    ans = (ans + pw[t-i] * C(t, i)) % mod

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
from math import gcd

K=int(input())
sum=0

for i in range(K):
  for j in range(K):
    for k in range(K):
       sum+=gcd(gcd(i+1,j+1),k+1)    
print(sum)

Fixed submission:
from math import gcd

K=int(input())+1
sum=0

for i in range(1,K):
  for j in range(1,K):
    for k in range(1,K):
       sum+=gcd(gcd(i,j),k)    
print(sum)

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

K=int(input())
sum=0

for i in range(K):
  for j in range(K):
    for k in range(K):
       sum+=math.gcd(math.gcd(i+1,j+1),k+1)    
print(sum)

Fixed submission:
from math import gcd

K=int(input())+1
sum=0

for i in range(1,K):
  for j in range(1,K):
    for k in range(1,K):
       sum+=gcd(gcd(i,j),k)    
print(sum)
Buggy python submission (verdict: Time Limit Exceeded):
A,B,K=map(int,input().split())

for i in range(K):
    if A!=0:
        A-=1
    else:
        B-=1

print("{} {}".format(A,B))

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

if(A>K):
    print("{} {}".format(A-K,B))
else:
    if(B-K+A)>0:
        print("{} {}".format(0,B-K+A))
    else:
        print("0 0")