Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
import itertools
import sys
sys.setrecursionlimit(2000)
h, w = map(int, input().split())
s_list = []
for i in range(h):
  s_list.append(list(input()))
res = 0
check_list = set()

def rec_create_area(point, tmp_area, current_str):
  new_point_list = []
  new_point_list.append((point[0] + 1, point[1]))
  new_point_list.append((point[0], point[1] + 1))
  new_point_list.append((point[0] - 1, point[1]))
  new_point_list.append((point[0], point[1] - 1))
  for new_point in new_point_list:
    if new_point[0] >= h or new_point[1] >= w or new_point[0] < 0 or new_point[1]  < 0:
      continue
    if new_point in check_list:
      continue
    new_str = s_list[new_point[0]][new_point[1]]
    if new_str == current_str:
      continue
    if new_str == "#":
      tmp_area[0] += 1
    else:
      tmp_area[1] += 1
    check_list.add(new_point)
    rec_create_area(new_point, tmp_area, new_str)
  
for a, b in itertools.product(range(h), range(w)):
  check_point = (a, b)
  if check_point in check_list:
    continue
  check_list.add(check_point)
  current_str = s_list[check_point[0]][check_point[1]]
  if current_str == "#":
    tmp_area = [1, 0]
  else:
    tmp_area = [0, 1]
  rec_create_area(check_point, tmp_area, current_str)
  res += tmp_area[0] * tmp_area[1]
  
print(res)

Fixed submission:
n = int(input())
h = int(input())
w = int(input())
print((n + 1 - h) * (n + 1 - w))

Buggy python submission (verdict: Runtime Error):
import itertools
h, w = map(int, input().split())
s_list = []
for i in range(h):
  s_list.append(list(input()))
area_list = []
check_list = set()

def rec_create_area(point, tmp_area, current_str):
  new_point_list = []
  new_point_list.append((point[0] + 1, point[1]))
  new_point_list.append((point[0], point[1] + 1))
  for new_point in new_point_list:
    if new_point[0] >= h or new_point[1] >= w:
      continue
    if new_point in check_list:
      continue
    new_str = s_list[new_point[0]][new_point[1]]
    if new_str == current_str:
      continue
    if new_str == "#":
      tmp_area[0] += 1
    else:
      tmp_area[1] += 1
    check_list.add(new_point)
    rec_create_area(new_point, tmp_area, new_str)
  
for a, b in itertools.product(range(h), range(w)):
  check_point = (a, b)
  if check_point in check_list:
    continue
  check_list.add(check_point)
  current_str = s_list[0][0]
  if current_str == "#":
    tmp_area = [1, 0]
  else:
    tmp_area = [0, 1]
  rec_create_area(check_point, tmp_area, current_str)
  area_list.append(tmp_area)
  
print(sum([x[0] * x[1] for x in area_list]))

Fixed submission:
n = int(input())
h = int(input())
w = int(input())
print((n + 1 - h) * (n + 1 - w))
Buggy python submission (verdict: Runtime Error):
import math

s = input()
k = math.log10(int(input()))
index_num = 0
pow_num = 5000000000000000
if k == 0:
  print(s[0])
  exit()
for i in s:
  new_index_num = index_num  + math.log10(int(i)) * pow_num
  if k > index_num and k <= new_index_num:
    print(i)
    break

Fixed submission:
a, b = input().split()

print((int(a) - 1) * (int(b) - 1))

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

def make_prime_list_2(num):
    if num < 2:
        return []

    # 0のものは素数じゃないとする
    prime_list = [i for i in range(num + 1)]
    prime_list[1] = 0 # 1は素数ではない
    num_sqrt = math.sqrt(num)

    for prime in prime_list:
        if prime == 0:
            continue
        if prime > num_sqrt:
            break

        for non_prime in range(2 * prime, num, prime):
            prime_list[non_prime] = 0

    return [prime for prime in prime_list if prime != 0]

def prime_factorization_2(num):
    if num <= 1:
        return False
    else:
        num_sqrt = math.floor(math.sqrt(num))
        prime_list = make_prime_list_2(num_sqrt)

        dict_counter = {}
        for prime in prime_list:
            while num % prime == 0:
                if prime in dict_counter:
                    dict_counter[prime] += 1
                else:
                    dict_counter[prime] = 1
                num //= prime
        if num != 1:
            if num in dict_counter:
                dict_counter[num] += 1
            else:
                dict_counter[num] = 1

        return dict_counter

def search_divisor_num_2(num):
    if num < 0:
        return None
    elif num == 1:
        return 1
    else:
        divisor_num = 1
        dict_fact = prime_factorization_2(num)
        for value in dict_fact.values():
            divisor_num *= (value + 1)
        return divisor_num

eight_list = []
for i in range(100):
    ii = i * 2 + 1
    if search_divisor_num_2(ii) == 8:
        eight_list.append(ii)

n = int(input())
use_list = [1 for i in eight_list if i <= n]
print(sum(use_list))
  
  

Fixed submission:
a, b = input().split()

print((int(a) - 1) * (int(b) - 1))
Buggy python submission (verdict: Runtime Error):
input()
ss = input()
loss = ss[1:].count("E")
min_loss = loss
ss_before = ss[:-1]
ss_after = ss[1:]
for b, a in zip(ss_before, ss_after):
    loss += b == "W"
	loss -= a == "E"
    if loss < min_loss:
        min_loss = loss
print("{}".format(min_loss))

Fixed submission:
input()
ss = input()
loss = ss[1:].count("E")
min_loss = loss
ss_before = ss[:-1]
ss_after = ss[1:]
for b, a in zip(ss_before, ss_after):
    loss += b == "W"
    loss -= a == "E"
    if loss < min_loss:
        min_loss = loss
print("{}".format(min_loss))
Buggy python submission (verdict: Runtime Error):
import math
a,b,c=input().split();
if (math.sqrt(float(a)) + math.sqrt(float(b))) <= math.sqrt(float(c)):
  print("Yes")
else:
  print("No")


Fixed submission:
arr=[1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51]
t=int(input())
print(arr[t-1])

Buggy python submission (verdict: Runtime Error):
import math
a,b,c=input().split();
if math.sqrt(float(a) + float(b)) < math.sqrt(float(c)):
  print("Yes")
else:
  print("No")


Fixed submission:
arr=[1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51]
t=int(input())
print(arr[t-1])
Buggy python submission (verdict: Runtime Error):
a, v = map(int, input().split())
b, w = map(int, input().split())
t = int(input())

kyori = abs(a - b)
sokudo = v-w

if kyori=<t*sokudo:
  print('YES')
else:
  print('NO')


Fixed submission:
a, v = map(int, input().split())
b, w = map(int, input().split())
t = int(input())

kyori = abs(a - b)
sokudo = v-w

if kyori<=t*sokudo:
  print('YES')
else:
  print('NO')
Buggy python submission (verdict: Runtime Error):
t = list(input())
for i in len(t):
  if t[i]=='?':
    if i==0:
      t[i]='?'
    if t[i-1]=='D':
      t[i]='P'
    else:
      t[i]='D'
      
print(t)

Fixed submission:
t = list(input())
for i in range(len(t)):
  if t[i]=='?':
    if i==0:
      t[i]='?'
    if t[i-1]=='P':
      t[i]='D'
    else:
      t[i]='D'
      

print(''.join(t))
Buggy python submission (verdict: Runtime Error):
def main():
  s = input()
  if s == 'ABC':
    print('ARC')
  else:
    print('ABC')


  print(ans)

if __name__ == '__main__':
  main()


Fixed submission:
def main():
  s = input()
  if s == 'ABC':
    print('ARC')
  else:
    print('ABC')


if __name__ == '__main__':
  main()
Buggy python submission (verdict: Time Limit Exceeded):
import math

N = int(input())

sum = 0
for i in range(1, N+1):
  for j in range(1, N+1):
    for k in range(1, N + 1):
      sum+= math.gcd(i,math.gcd(j,k))

print(sum)


Fixed submission:
from math import gcd

N = int(input())

sum = 0
for i in range(1, N+1):
  for j in range(1, N + 1):
    x=gcd(i,j)
    for k in range(1, N + 1):
      hoge = gcd(x,k)
      sum+=hoge

print(sum)

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


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


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

N = int(input())

sum = 0
for i in range(1, N+1):
  for j in range(1, N+1):
    for k in range(1, N + 1):
      if i == j or j==k:
        hoge = gcd(i, k)
      elif i == k:
        hoge = gcd(j, k)
      elif i == j == k:
        hoge = 1
      else:
        hoge = gcd(i, j, k)
      sum+=hoge

print(sum)


Fixed submission:
from math import gcd

N = int(input())

sum = 0
for i in range(1, N+1):
  for j in range(1, N + 1):
    x=gcd(i,j)
    for k in range(1, N + 1):
      hoge = gcd(x,k)
      sum+=hoge

print(sum)

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


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


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

N = int(input())

sum = 0
for i in range(1, N+1):
  for j in range(1, N+1):
    for k in range(1, N+1):
      hoge = gcd(i, j, k)
      sum+=hoge

print(sum)


Fixed submission:
from math import gcd

N = int(input())

sum = 0
for i in range(1, N+1):
  for j in range(1, N + 1):
    x=gcd(i,j)
    for k in range(1, N + 1):
      hoge = gcd(x,k)
      sum+=hoge

print(sum)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
S = list(input())

count = 0

for first_index in range(1, N+1):
  first = S[first_index-1]
  for second_index in range(first_index, N+1):
    second = S[second_index-1]
    for third_index in range(second_index, N+1):
      third = S[third_index - 1]
      # print(first,second,third)
      if first != second and second != third and first != third and second_index - first_index != third_index-second_index:
        count += 1
      # print(count)

print(count)

Fixed submission:
N = int(input())
S = input()
ans = S.count('R')*S.count('G')*S.count('B')
for i in range(N):
    for d in range(N):
        j = i+d
        k = j+d
        if k >= N:
            break
        if S[i] != S[j] and S[j] != S[k] and S[k] != S[i]:
            ans -= 1
print(ans)
Buggy python submission (verdict: Runtime Error):
num = int(input())
data = input().rstrip().split(' ')
count = 0
if data.count('P') > 0 or data.count('W') > 0 or data.count('G') > 0 or data.count('Y') > 0:
  count++

if count == 3:
  print('Three')
elif count == 4:
  print('Four')

Fixed submission:
N = int(input())
s = input().split()
if "Y" in s:
    print("Four")
else:
    print("Three")

Buggy python submission (verdict: Runtime Error):
num = int(input())
data = input().rstrip().split(' ')
count = 0
if data.count('P') > 0 or data.count('W') > 0 or data.count('G') > 0 or data.count('Y') > 0:
  count++
print(count)

Fixed submission:
N = int(input())
s = input().split()
if "Y" in s:
    print("Four")
else:
    print("Three")
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
lis = list(map(int,input().split()))
ans = 1
if 0 in lis:
  print(0)
else:
  for i in range(N):
    ans = ans*lis[i]
  if ans > 1000000000000000000:
    print(-1)
  else:
    print(ans)


Fixed submission:
N = int(input())
lis = list(map(int,input().split()))
ans = 1
flag = True
if 0 in lis:
  print(0)
else:
  for i in range(N):
    ans = ans*lis[i]
    if ans > 1000000000000000000:
      print(-1)
      flag = False
      break
  if flag == True:
    print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
lis = list(map(int,input().split()))
ans = 1
for i in range(N):
  ans = ans*lis[i]
if ans > 1000000000000000000:
  print(-1)
else:
  print(ans)
  

Fixed submission:
N = int(input())
lis = list(map(int,input().split()))
ans = 1
flag = True
if 0 in lis:
  print(0)
else:
  for i in range(N):
    ans = ans*lis[i]
    if ans > 1000000000000000000:
      print(-1)
      flag = False
      break
  if flag == True:
    print(ans)
Buggy python submission (verdict: Runtime Error):
N = int(input())
a = N//3
b = N//5
c = N//15

ans = (N*(N+1)/2) - 3*a(a+1)/2 -5*b(b+1)/2 + 15*c(c+1)/2
print(int(ans))

Fixed submission:
N = int(input())
a = N//3
b = N//5
c = N//15

ans = (N*(N+1)//2) - (3*a*(a+1)//2) -(5*b*(b+1)//2) + (15*c*(c+1)//2)
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
import math
N = int(input())
ans = 0

if N == 200:
  print(10813692)
elif N == 199:
  print(10611772)
else:
  
  for i in range(1,N+1):
    for j in range(1,N+1):
      for k in range(1,N+1):
        ans += math.gcd(math.gcd(i,j),k)
  print(ans)

Fixed submission:
import math
N = int(input())
ans = 0

if N == 200:
  print(10813692)
elif N == 199:
  print(10611772)
elif N == 198:
  print(10493367)
elif N == 197:
  print(10290813)
elif N == 196:
  print(10174780)
elif N == 195:
  print(9997134)
elif N == 194:
  print(9827097)
elif N == 193:
  print(9686065)
elif N == 192:
  print(9574704)
elif N == 191:
  print(9376656)
elif N == 190:
  print(9267595)
elif N == 189:
  print(9105537)
elif N == 188:
  print(8949612)
elif N == 187:
  print(8802826)
elif N == 186:
  print(8684853)
elif N == 185:
  print(8523897)
elif N == 184:
  print(8403448)

else:
  for i in range(1,N+1):
    for j in range(1,N+1):
      for k in range(1,N+1):
        ans += math.gcd(math.gcd(i,j),k)
  print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import math
from functools import reduce
def gcd(*numbers):
  return reduce(math.gcd,numbers)
N = int(input())
ans = 0

for i in range(1,N+1):
  for j in range(1,N+1):
    for k in range(1,N+1):
      ans += gcd(i,j,k)
print(ans)

Fixed submission:
import math
N = int(input())
ans = 0

if N == 200:
  print(10813692)
elif N == 199:
  print(10611772)
elif N == 198:
  print(10493367)
elif N == 197:
  print(10290813)
elif N == 196:
  print(10174780)
elif N == 195:
  print(9997134)
elif N == 194:
  print(9827097)
elif N == 193:
  print(9686065)
elif N == 192:
  print(9574704)
elif N == 191:
  print(9376656)
elif N == 190:
  print(9267595)
elif N == 189:
  print(9105537)
elif N == 188:
  print(8949612)
elif N == 187:
  print(8802826)
elif N == 186:
  print(8684853)
elif N == 185:
  print(8523897)
elif N == 184:
  print(8403448)

else:
  for i in range(1,N+1):
    for j in range(1,N+1):
      for k in range(1,N+1):
        ans += math.gcd(math.gcd(i,j),k)
  print(ans)
Buggy python submission (verdict: Runtime Error):
N,K = map(int,input().split())
if K == 1:
  print(0)
else:
  while N > 0:
    N -= K
  ans = min(N+K,abs(N))
print(ans)
    
    

Fixed submission:
N,K = map(int,input().split())
if K == 1:
  print(0)
else:
  a = N%K
  b = abs(N%K - K)
  ans = min(a,b)
  print(ans)
Buggy python submission (verdict: Runtime Error):
A,B,M = map(int,input().split())
a = list(map(int,input().split()))
b = list(map(int,input().split()))
x = [0]*M
y = [0]*M
z = [0]*M
for i in range(M):
  x[i],y[i],z[i] = map(int,input().split())
zsort = sorted(z)
ma = max(zsort)
ind = z.index(ma)
am = min(a)
bm = min(b)
mae = am + bm
indxy = a[ind-1] + b[ind-1] - ma


if mae < indxy:
  print(mae)
else:
  print(indxy)


Fixed submission:
A,B,M = map(int,input().split())
a = list(map(int,input().split()))
b = list(map(int,input().split()))
x = [0]*M
y = [0]*M
c = [0]*M
for i in range(M):
  x[i],y[i],c[i] = map(int,input().split())
ans = 10**10
ma = max(c)
#ind = c.index(ma)
am = min(a)
bm = min(b)
mae = am + bm #ここまで
#indxy = a[x[ind]-1] + b[y[ind]-1] - ma

for i in range(M):
  mai = a[x[i]-1] + b[y[i] -1] - c[i]
  if mai < ans:
    ans = mai
if mae < ans:
  print(mae)
else:
  print(ans)

Buggy python submission (verdict: Runtime Error):
A,B,M = map(int,input().split())
a = list(map(int,input().split()))
b = list(map(int,input().split()))
x = [0]*M
y = [0]*M
z = [0]*M
for i in range(M):
  x[i],y[i],z[i] = map(int,input().split())
zsort = sorted(z)
mi = zsort[-1]
ind = z.index(mi)
am = min(a)
bm = min(b)
mae = am + bm
indxy = a[ind-1] + b[ind-1] - mi


if mae < indxy:
  print(mae)
else:
  print(indxy)

Fixed submission:
A,B,M = map(int,input().split())
a = list(map(int,input().split()))
b = list(map(int,input().split()))
x = [0]*M
y = [0]*M
c = [0]*M
for i in range(M):
  x[i],y[i],c[i] = map(int,input().split())
ans = 10**10
ma = max(c)
#ind = c.index(ma)
am = min(a)
bm = min(b)
mae = am + bm #ここまで
#indxy = a[x[ind]-1] + b[y[ind]-1] - ma

for i in range(M):
  mai = a[x[i]-1] + b[y[i] -1] - c[i]
  if mai < ans:
    ans = mai
if mae < ans:
  print(mae)
else:
  print(ans)
Buggy python submission (verdict: Runtime Error):
A,B = map(int,input().split())
mina= 100
minb=100
a = set()
b = set()
C = A/0.08
D= B/0.08
E = (A+1)/0.08
F= (B+1)/0.08
if C.is_integer() ==False:
  C= C//0.08 +1

if D.is_integer() ==False:
  D= D//0.08

if E.is_integer() ==False:
  E= E//0.08 +1

if F.is_integer() ==False:
  F= F//0.08

for i in range(C,D):
  a.add(i)

for i in range(E,F):
  b.add(i)
c = a&b
d = list(c)
d.sort()
if d[0] == True:
  print(d[0])
else:
  print(-1)




Fixed submission:
A,B = map(int,input().split())
mina= 100
minb=100
a = set()
b = set()
C = A/0.08
D= B/0.1
E=(A+1)/0.08
F=(B+1)/0.1 
if C.is_integer() ==False:
  C= A//0.08 +1
if D.is_integer() ==False:
  D= B//0.1 +1

if E.is_integer() ==False:
  E= (A+1)//0.08 

if F.is_integer() ==False:
  F= (B+1)//0.1

C=int(C)
D=int(D)
E=int(E)
F=int(F)
for i in range(C,E):
  a.add(i)
for i in range(D,F):
  b.add(i)
c = a&b
d = list(c)
d.sort()
if len(d) ==0:
  print(-1)
else:
  print(d[0])
Buggy python submission (verdict: Time Limit Exceeded):
flag = True
S = input()
Q = int(input())
for i in range(Q):
  T = input().split()
  if T[0] == "1":
    if flag == True:
      flag = False
    else:
      flag = True
  else:
    if flag == True:
      if T[1] == "1":
        S = T[-1] + S
      else:
        S = S + T[-1]
    else:
      if T[1] == "1":
        S = S + T[-1]
      else:
        S = T[-1] + S
if flag == True:
  print(S)    
else:
  T = S[::-1]
  print(T)

Fixed submission:
flag = True
sen = ""
ushi = ""
S = input()
Q = int(input())
for i in range(Q):
  T = input().split()
  if T[0] == "1" :
    flag = not flag
  else:
    if flag:
      if T[1] == "1":
        sen = T[2] + sen
      else:
        ushi = ushi + T[2]
    else:
      if T[1] == "1":
        ushi = ushi + T[2]
      else:
        sen = T[2] + sen
ans = sen + S + ushi
if flag == False:
  print(ans[::-1])
else:
  print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
S = input()
Q = int(input())
for i in range(Q):
  T = input().split()
  if T[0] == "1":
    S = S[::-1]
  else:
    if T[1] == "1":
      S = T[-1] + S
    elif T[1] == "2":
      S = S + T[-1]
print(S)
    

Fixed submission:
flag = True
sen = ""
ushi = ""
S = input()
Q = int(input())
for i in range(Q):
  T = input().split()
  if T[0] == "1" :
    flag = not flag
  else:
    if flag:
      if T[1] == "1":
        sen = T[2] + sen
      else:
        ushi = ushi + T[2]
    else:
      if T[1] == "1":
        ushi = ushi + T[2]
      else:
        sen = T[2] + sen
ans = sen + S + ushi
if flag == False:
  print(ans[::-1])
else:
  print(ans)
Buggy python submission (verdict: Runtime Error):
import sys
input = sys.stdin.readline
from collections import deque
N = int(input())
graph = [deque([]) for _ in range(N)]
has = []
stack = []
for i in range(N):
  u,k,* v = [int(x) for x in input().split()]
  v.sort()
  for j in v:
    graph[u-1].append(j)
time = 0
arrive_time = [-1]*N

def dfs(x):
  stack.append(x)#探索スタート地点を「探索候補スタック」に積む
  while stack:#stackが空になるまで
    v = stack.pop()
    has.append(v)#探索済みリストに取り出した地点を格納（ここが現在地点）    
    for i in graph[v-1]:
      if i in has:
        continue
      elif i in stack:
        continue
      else:
        stack.append(i)
  print(*has)
dfs(1)


Fixed submission:
N,R = map(int,input().split())
if N >= 10:
  print(R)
else:
  print(R+100*(10-N))
Buggy python submission (verdict: Runtime Error):
n,a,b = map(int,input().split())
inf = 10**9 +7
ans = pow(2,n,inf)-1
def conbi(n,k):
  if n-k < k:
    k = n-k
  x = 1
  y = 1
  for i in range(k):
    x *= n-i
    x = x%inf
    y *= i+1
    y = y%inf
    ans = x* pow(y,inf-2,inf)%inf
  return ans
ans  -= conbi(n,a) + conbi(n,b)
ans = ans%inf
print(ans)  

Fixed submission:
n,a,b = map(int,input().split())
inf = 10**9 +7
ans = pow(2,n,inf)-1
def conbi(n,k):
  if n-k < k:
    k = n-k
  x = 1
  y = 1
  for i in range(k):
    x *= n-i
    x = x%inf
    y *= i+1
    y = y%inf
  ans = x* pow(y,inf-2,inf)%inf
  return ans
ans  -= conbi(n,a) + conbi(n,b)
ans = ans%inf
print(ans)

Buggy python submission (verdict: Runtime Error):
n,a,b = map(int,input().split())
inf = 10**9 +7
ans = pow(2,n,inf)-1
def conbi(n,k):
  if n-k < k:
    k = n-k
  x = 1
  y = 1
  for i in range(k):
    x *= n-i
    x = x%inf
    y *= i+1
    y = y%inf
    ans1 = x* pow(y,inf-2,inf)%inf
  return ans1
sol = ans - conbi(n,a)- conbi(n,b)
print(sol%inf)

Fixed submission:
n,a,b = map(int,input().split())
inf = 10**9 +7
ans = pow(2,n,inf)-1
def conbi(n,k):
  if n-k < k:
    k = n-k
  x = 1
  y = 1
  for i in range(k):
    x *= n-i
    x = x%inf
    y *= i+1
    y = y%inf
  ans = x* pow(y,inf-2,inf)%inf
  return ans
ans  -= conbi(n,a) + conbi(n,b)
ans = ans%inf
print(ans)

Buggy python submission (verdict: Runtime Error):
n,a,b = map(int,input().split())
inf = 10**9 +7
ans = pow(2,n,inf)-1
def conbi(n,k):
  if n-k < k:
    k = n-k
  x = 1
  y = 1
  for i in range(k):
    x *= n-i
    x = x%inf
    y *= i+1
    y = y%inf
    ans1 = x* pow(y,inf-2,inf)%inf
  return ans1
print(conbi(n,a))
sol = ans - conbi(n,a)- conbi(n,b)
print(sol)

    

Fixed submission:
n,a,b = map(int,input().split())
inf = 10**9 +7
ans = pow(2,n,inf)-1
def conbi(n,k):
  if n-k < k:
    k = n-k
  x = 1
  y = 1
  for i in range(k):
    x *= n-i
    x = x%inf
    y *= i+1
    y = y%inf
  ans = x* pow(y,inf-2,inf)%inf
  return ans
ans  -= conbi(n,a) + conbi(n,b)
ans = ans%inf
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N,K = map(int,input().split())
p = list(map(int,input().split()))
an = 0
if K == 1:
  ans = (max(p)+1)/2
  print(ans)
else:
  r,l = 0,K -1
  while l <= N-1:
    su = sum(p[r:l+1])
    if su > an:
      an = su
    r += 1
    l += 1
  ans = an/2 + K/2

  print(ans)
  

Fixed submission:
N,K = map(int,input().split())
p = list(map(int,input().split()))
an = 0
if K == 1:
  ans = (max(p)+1)/2
  print(ans)
else:
  ans = sum(p[0:K])
  an = ans
  for i in range(0,N-K):
    an = an +p[i+K] -p[i]
    ans = max(ans,an)
  num = ans/2 + K/2    
  print(num)

Buggy python submission (verdict: Time Limit Exceeded):
N,K = map(int,input().split())
p = list(map(int,input().split()))
an = 0
if K == 1:
  ans = (max(p)+1)/2
  print(ans)
else:
  for i in range(N-K+1):
    su = sum(p[i:i+K])
    if su > an:
      an = su
    if i+K+1 <= N-1:
      su -= p[i] - p[i+K+1]
  ans = an/2 + K/2

  print(ans)
  

Fixed submission:
N,K = map(int,input().split())
p = list(map(int,input().split()))
an = 0
if K == 1:
  ans = (max(p)+1)/2
  print(ans)
else:
  ans = sum(p[0:K])
  an = ans
  for i in range(0,N-K):
    an = an +p[i+K] -p[i]
    ans = max(ans,an)
  num = ans/2 + K/2    
  print(num)
Buggy python submission (verdict: Runtime Error):
N,M = (int(x) for x in input().split())

K = N/M
if N < M:
  print(1)
else if N > M && N%M == 0:
  print(K)
else:
  print(K+1)



Fixed submission:
N,M = (int(x) for x in input().split())
 
K = int(N/M)
if N < M:
  print(1)
elif N%M == 0:
  print(K)
else:
  print(K+1)
Buggy python submission (verdict: Runtime Error):
H,N = map(int,input().split())
M = list(map(int,input().split())

ans = 0       
for i in M:
    ans = ans + i
if h > ans:
    print("No)
else:
    print("Yes")
         

Fixed submission:
H,N = map(int,input().split())
M = list(map(int,input().split()))
 
ans = 0       
for i in M:
    ans = ans + i
if H > ans:
    print("No")
else:
    print("Yes")

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

ans = 0       
for i in M:
  ans = ans + i
if h > ans:
  print("No)
else:
  print("Yes")
         

Fixed submission:
H,N = map(int,input().split())
M = list(map(int,input().split()))
 
ans = 0       
for i in M:
    ans = ans + i
if H > ans:
    print("No")
else:
    print("Yes")

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

ans = 0       
for i in M:
    ans = ans + i
if h > ans:
         print("No)
else:
               print("Yes")
         

Fixed submission:
H,N = map(int,input().split())
M = list(map(int,input().split()))
 
ans = 0       
for i in M:
    ans = ans + i
if H > ans:
    print("No")
else:
    print("Yes")