Harryxun/GPT-100-sft-dataset huggingface dataset:
Problem p03291 (python)

Fixed submission:
import sys
input = sys.stdin.readline
MOD = 10 ** 9 + 7

def main():
    string = input().strip()
    n = len(string)
    dp = [[0, 0, 0, 0] for _ in range(n + 1)]
    dp[0][0] = 1
    for i, s in enumerate(string):
        if s == "A":
            dp[i + 1][0] = dp[i][0]
            dp[i + 1][1] = dp[i][1] + dp[i][0]
            dp[i + 1][2] = dp[i][2]
            dp[i + 1][3] = dp[i][3]
        elif s == "B":
            dp[i + 1][0] = dp[i][0]
            dp[i + 1][1] = dp[i][1]
            dp[i + 1][2] = dp[i][2] + dp[i][1]
            dp[i + 1][3] = dp[i][3]
        elif s == "C":
            dp[i + 1][0] = dp[i][0]
            dp[i + 1][1] = dp[i][1]
            dp[i + 1][2] = dp[i][2]
            dp[i + 1][3] = dp[i][3] + dp[i][2]
        else:
            dp[i + 1][0] = 3 * dp[i][0]
            dp[i + 1][1] = 3 * dp[i][1] + dp[i][0]
            dp[i + 1][2] = 3 * dp[i][2] + dp[i][1]
            dp[i + 1][3] = 3 * dp[i][3] + dp[i][2]
        for j in range(4):
            dp[i + 1][j] %= MOD
    print(dp[-1][-1] % MOD)
    
main()

Buggy submission (verdict: Runtime Error):
s=input()
count=0
for i in range(len(s)):
    if s[i]=="A" or s[i]=="?":
        for j in range(len(s)-1,i+1,-1):
            if s[j]=="C" or s[j]=="?":
                k=s[i+1:j]
                bb=k.count("B")
                dd=k.count("?")
                count=((count+bb*3**dd+dd*3**(dd-1))/(10**9+7))
print(int(count))

Buggy submission (verdict: Runtime Error):
s=input()
count=0
for i in range(len(s)):
    if s[i]=="A" or s[i]=="?":
        for j in range(len(s)-1,i,-1):
            if s[j]=="C" or s[j]=="?":
                k=s[i+1:j]
                bb=k.count("B")
                dd=k.count("?")
                count=(count+bb*3**dd+dd*3**(dd-1))%(10**9+7)
print(count)
Problem p03723 (python)

Fixed submission:
a, b, c = map(int, input().split())
ans = 0

while a % 2 == 0 and b % 2 == 0 and c % 2 == 0:
    if a == b == c:
        print(-1)
        exit()
    a, b, c = (b + c) // 2, (c + a) // 2, (a + b) // 2
    ans += 1
print(ans)

Buggy submission (verdict: Runtime Error):
a, b, c = map(int(input().split()))
ans = 0

while a % 2 == 0 and b % 2 == 0 and c % 2 == 0:
    if a == b == c:
        print(-1)
        exit()
    a, b, c = (b + c) // 2, (c + a) // 2, (a + b) // 2
    ans += 1
print(ans)
Problem p02550 (python)

Fixed submission:
N, X, M = map(int, input().split())

id_ = [-1] * M
a = []
len_ = 0
ans = 0
x = X
while id_[x] == -1:
    id_[x] = len_
    len_ += 1
    ans += x
    a.append(x)
    x = x**2 % M

c = len_ - id_[x]
s = 0
for i in range(id_[x], len_):
    s += a[i]

if len_ >= N:
    ans = 0
    for i in range(N):
        ans += a[i]
else:
    n = N
    n -= len_
    ans += s * (n // c)
    n %= c
    for i in range(n):
        ans += a[id_[x]+i]
print(ans)

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

ans = 0
roop_init = 0
roop_sum = 0
roop_len = 0
x = X
ans += x
flug = False    # 周期を数えるフラグ
for i in range(2, N+1):
    old_x = x
    x = old_x**2 % M
    if x == 0:
        break
    if old_x**2 >= M and not flug:
        # print(old_x, x)
        flug = True
        roop_init = x
        roop_sum = x
        roop_len = 1
    elif x == roop_init:
        # print(i)
        ans += (N - (i-1)) // roop_len * roop_sum
        for j in range((N - (i-1)) % roop_len):
            if j != 0:
                old_x = x
                x = old_x**2 % M
            ans += x
        print(ans)
        break
    elif flug:
        roop_len += 1
        roop_sum += x
    ans += x
else:
    print(ans)
print(i, roop_init, roop_sum, roop_len)
Problem p02623 (python)

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

ans = 0
t = 0
a = 0
b = 0

while True:
    if not t + A[a] > K:
        t += A[a]
        a += 1
        # print(a, t, A[a-1])
        if a >= N:
            break
    else:
        break

flug = True     #全探索を行うか
while True:
    if not t + B[b] > K:
        t += B[b]
        b += 1
        # print(b, t, B[b-1])
        if b >= M:
            flug = False
            break
    else:
        break

# print(a, b, flug)
ans = a + b
flug2 = True    #処理を続けるか
if flug:
    while True:
        a -= 1
        if a < 0:
            break
        t -= A[a]
        while True:
            if not t + B[b] > K:
                t += B[b]
                b += 1
                if b >= M:
                    flug2 = False
                    break
            else:
                break
        ans = max(ans, a + b)
        if not flug2:
            break
print(ans)

Buggy submission (verdict: Runtime Error):
N, M, K = map(int, input().split())
A = list(map(int, input().split()))
B = list(map(int, input().split()))

ans = 0
t = 0
a = 0
b = 0

while True:
    if not t + A[a] > K:
        t += A[a]
        a += 1
        # print(a, t, A[a-1])
        if a >= N:
            break
    else:
        break

flug = True     #全探索を行うか
while True:
    if not t + B[b] > K:
        t += B[b]
        b += 1
        # print(b, t, B[b-1])
        if b >= M:
            flug = False
            break
    else:
        break

# print(a, b, flug)
ans = a + b
flug2 = True    #処理を続けるか
if flug:
    while True:
        a -= 1
        t -= A[a]
        while True:
            if not t + B[b] > K:
                t += B[b]
                b += 1
                if b >= M:
                    flug2 = False
                    break
            else:
                break
        ans = max(ans, a + b)
        if not flug2:
            break
print(ans)

Buggy submission (verdict: Runtime Error):
N, M, K = map(int, input().split())
A = list(map(int, input().split()))
B = list(map(int, input().split()))

ans = 0
t = 0
a = 0
b = 0

while True:
    if not t + A[a] > K:
        t += A[a]
        a += 1
        # print(a, t, A[a-1])
        if a >= N:
            break
    else:
        break

flug = True     #全探索を行うか
while True:
    if not t + B[b] > K:
        t += B[b]
        b += 1
        # print(b, t, B[b-1])
        if b >= M:
            flug = False
            break
    else:
        break

# print(a, b, flug)
ans = a + b
flug2 = True    #処理を続けるか
if flug:
    while True:
        a -= 1
        t -= A[a]
        while True:
            if not t + B[b] > K:
                t += B[a]
                b += 1
                if b >= M:
                    flug2 = False
                    break
            else:
                break
        ans = max(ans, a + b)
        if not flug2:
            break
print(ans)
Problem p02624 (python)

Fixed submission:
import math
import collections
def main():

    N = int(input())
    d = dict()
    for i in range(1, N+1):
        d[i] = 0

    ans = 0
    for i in range(1, N+1):
        p = N//i
        ans += p * (p+1)//2 * i
    return ans

if __name__ == '__main__':
    print(main())

Buggy submission (verdict: Runtime Error):
import math
def main():

    N = int(input())

    d = [2 for _ in range(N+1)]
    d[1] = 1

    v = int(math.sqrt(N))s

    for i in range(2, v+1):
        for j in range(i+i, N+1, i):
            if j//i > v: d[j] += 2
            else: d[j] += 1  

    ans = 0
    for i in range(1, N+1):
        ans += i * d[i]
    return ans

if __name__ == '__main__':
    print(main())

Buggy submission (verdict: Runtime Error):
 import math
def main():

    N = int(input())

    d = [2 for _ in range(N+1)]
    d[1] = 1

    # for i in range(2, N//2+1):
    #     for j in range(i+i, N+1, i):
    #         d[j] += 1

    v = int(math.sqrt(N))
    for i in range(2, v+1):
        for j in range(i+i, N+1, i):
            d[j] += 1
            if j//i > v: d[j] += 1

    ans = 0
    for i in range(1, N+1):
        ans += i * d[i]
    return ans

if __name__ == '__main__':
    print(main())
Problem p02659 (python)

Fixed submission:
def main():

    A, B = input().split()
    B = "".join(B.split('.'))
    A = int(A)
    B = int(B)
    return (A * B) // 100

if __name__ == '__main__':
    print(main())

Buggy submission (verdict: Runtime Error):
import numpy as np
def main():

    A, B = input().split()
    A = np.array(int(A), dtype=np.int64)
    B = np.array(float(B), dtype=np.float64)
    v = A * B
    return int(v)

if __name__ == '__main__':
    print(main())
Problem p02661 (python)

Fixed submission:
def main():

    N = int(input())
    a, b = [], []
    for _ in range(N):
        A, B = map(int, input().split())
        a.append(A)
        b.append(B)

    a.sort()
    b.sort()

    if N % 2 == 0:
        u = a[N//2-1] + a[N//2]
        v = b[N//2-1] + b[N//2]
        return max((v-u)+1, 0)
    else:
        u = a[(N)//2]
        v = b[(N)//2]
        return max(v-u+1, 0)

if __name__ == '__main__':
    print(main())

Buggy submission (verdict: Runtime Error):
def main():

    A, B = input().split()
    A = int(A)
    B = float(B)
    f = B - int(B)
    v = int(A * f)
    v += int(B) * int(A)
    return v

if __name__ == '__main__':
    print(main())
Problem p02695 (python)

Fixed submission:
import collections
def main():

    N, M, Q = map(int, input().split())
    p = collections.defaultdict(int)
    for _ in range(Q):
        a, b, c, d = map(int, input().split())
        p[(a-1, b-1, c)] = d

    lv = [[1]]
    for i in range(N):
        temp = []
        for v in lv:
            for j in range(v[-1], M+1):
                temp.append(v + [j])
        lv = temp

    ans = 0
    for v in lv:
        q = 0
        for a, b, c in p:
            if v[b] - v[a] == c:
                q += p[(a, b, c)]
        ans = max(ans, q)
    return ans

if __name__ == '__main__':
    print(main())

Buggy submission (verdict: Runtime Error):
import collections
def main():

    N, M, Q = map(int, input().split())
    p = collections.defaultdict(int)
    for _ in range(Q):
        a, b, c, d = map(int, input().split())
        p[(a-1, b-1, c)] = d

    lv = [[1]]
    for i in range(M):
        temp = []
        for v in lv:
            for j in range(v[-1], M+1):
                temp.append(v + [j])
        lv = temp

    ans = 0
    for v in lv:
        q = 0
        for a, b, c in p:
            if v[b] - v[a] == c:
                q += p[(a, b, c)]
        ans = max(ans, q)
    return ans



if __name__ == '__main__':
    print(main())
Problem p02954 (python)

Fixed submission:
def main():
    S = input()
    n = len(S)
    i = 0
    res = []
    while i < len(S):
        countL, countR = 0, 0
        while i < n and S[i] == "R":
            countR += 1
            i += 1
        while i < n and S[i] == "L":
            countL += 1
            i += 1
        if (countL+countR) % 2 == 0:
            half = (countL+countR) // 2
            res += [0]*(countR-1) + [half]*2 + [0]*(countL-1)
        else:
            half1 = (countR+countL+1)//2
            half2 = (countR+countL) - half1
            if countR > countL:
                if (countR-1) % 2 == 0:
                    res += [0]*(countR-1) + [half1, half2] + [0]*(countL-1)
                else:
                    res += [0]*(countR-1) + [half2, half1] + [0]*(countL-1)
            else:
                if (countL-1) % 2 == 0:
                    res += [0]*(countR-1) + [half2, half1] + [0]*(countL-1)
                else:
                    res += [0]*(countR-1) + [half1, half2] + [0]*(countL-1)
    return res

if __name__ == '__main__':
    output = main()
    print(" ".join(map(str, output)))

Buggy submission (verdict: Runtime Error):
S = input()

n = len(S)
output = []
i = 0
while i < n:
    countR = 0
    countL = 0
    while i < n and S[i] == "R":
        countR += 1
        i += 1
    while i < n and S[i] == "L":
        countL += 1
        i += 1
    output += [0 for _ in range(countR-1)]
    if abs(countR - countL) % 2 == 0:
        output += [(countR + countL)//2, (countR + countL)//2]
    else:
        if [countR, countL] == [2, 1]:
            output += [1, 2]
        elif [countR, countL] == [1, 2]:
            output += [2, 1]
        else:
            if countR > countL:
                output += [(countR+countL+1)//2, (countR+countL-1)//2]
            else:
                output += [(countR+countL-1)//2, (countR+countL+1)//2]
            
    output += [0 for _ in range(countL-1)]

print(' '.join(map(str, ans)))

Buggy submission (verdict: Runtime Error):
n = len(S)

output = []
# prev = "R"
i = 0
while i < n:
    countR = 0
    countL = 0
    while i < n and S[i] == "R":
        countR += 1
        i += 1
    while i < n and S[i] == "L":
        countL += 1
        i += 1
    output += [0]*(countR-1) 
    if (countR + countL) % 2 == 0:
        output += [(countR + countL) // 2] * 2
    else:
        if countR < countL:
            output += [countL, countR]
        else:
            output += [countR, countL]
    output += [0]*(countL-1)
print(output)

Buggy submission (verdict: Runtime Error):
n = len(S)

output = []
# prev = "R"
i = 0
while i < n:
    countR = 0
    countL = 0
    while i < n and S[i] == "R":
        countR += 1
        i += 1
    while i < n and S[i] == "L":
        countL += 1
        i += 1
    output += [0]*(countR-1) 
    if (countR + countL) % 2 == 0:
        output += [(countR + countL) // 2] * 2
    else:
        if countR < countL:
            output += [countL, countR]
        else:
            output += [countR, countL]
    output += [0]*(countL-1)
Problem p02959 (python)

Fixed submission:
N = int(input())
A = [int(x) for x in input().split()]
B = [int(x) for x in input().split()]

tot = 0
for i in range(N):
    if A[i] <= B[i]:
        tot += A[i]
        B[i] -= A[i]
        A[i] = 0
    else:
        tot += B[i]
        B[i] = 0
        A[i] = A[i] - B[i]
    if B[i] >= 0:
        if A[i+1] <= B[i]:
            tot += A[i+1]
            A[i+1] = 0
            B[i] -= A[i+1]
        else:
            A[i+1] -= B[i]
            tot += B[i]
            B[i] = 0

print(tot)

Buggy submission (verdict: Runtime Error):
N = int(input())
A = [int(x) for x in input.split()]
B = [int(x) for x in input.split()]

tot = 0
for i in range(N):
    if A[i] <= B[i]:
        tot += A[i]
        B[i] -= A[i]
        A[i] = 0
    else:
        tot += B[i]
        B[i] = 0
        A[i] = A[i] - B[i]
    if B[i] >= 0:
        if A[i+1] <= B[i]:
            tot += A[i+1]
            A[i+1] = 0
            B[i] -= A[i+1]
        else:
            A[i+1] -= B[i]
            tot += B[i]
            B[i] = 0

print(tot)
Problem p02862 (python)

Fixed submission:
from scipy.sparse.csgraph import shortest_path, floyd_warshall, dijkstra, bellman_ford, johnson, minimum_spanning_tree
from scipy.sparse import csr_matrix, coo_matrix, lil_matrix
import numpy as np
from collections import deque, Counter, defaultdict
from itertools import product, permutations,combinations
from operator import itemgetter
from heapq import heappop, heappush
from bisect import bisect_left, bisect_right, bisect
from fractions import gcd
from math import ceil,floor, sqrt, cos, sin, pi, factorial
from functools import reduce
import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
sys.setrecursionlimit(10**8)
INF = float('inf')
MOD = 10**9+7
def lcm_base(a, b):
    return (a * b) // gcd(a, b)

def lcm_list(numbers):
    return reduce(lcm_base, numbers, 1)

def nCr(n,r):
  bunshi = 1
  bunbo = 1
  for i in range(r):
    bunshi = (bunshi * (n-i)) % MOD
    bunbo = (bunbo * (i+1)) % MOD
  return bunshi * pow(bunbo, MOD - 2, MOD) % MOD


def main():
  X, Y = map(int, readline().split())
  if (X + Y) % 3 != 0 or (2 * X - Y) % 3 != 0 or (2 * Y - X) % 3 != 0:
    print(0)
    sys.exit()
  else:
    n = (2*Y - X)//3
    m = (2*X - Y)//3
    if n<0 or m<0:
      print(0)
      sys.exit()
    ans = nCr(n+m, n)
  print(ans%MOD)
  
  
  
if __name__ == '__main__':
  main()

Buggy submission (verdict: Runtime Error):
from scipy.sparse.csgraph import shortest_path, floyd_warshall, dijkstra, bellman_ford, johnson, minimum_spanning_tree
from scipy.sparse import csr_matrix, coo_matrix, lil_matrix
import numpy as np
from collections import deque, Counter, defaultdict
from itertools import product, permutations,combinations
from operator import itemgetter
from heapq import heappop, heappush
from bisect import bisect_left, bisect_right, bisect
from fractions import gcd
from math import ceil,floor, sqrt, cos, sin, pi, factorial
from functools import reduce
import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
sys.setrecursionlimit(10**8)
INF = float('inf')
MOD = 10**9+7
def lcm_base(a, b):
    return (a * b) // gcd(a, b)

def lcm_list(numbers):
    return reduce(lcm_base, numbers, 1)

def nCr(n,r):
  bunshi = 1
  bunbo = 1
  for i in range(r):
    bunshi = (bunshi * (n-i)) % MOD
    bunbo = (bunbo * (i+1)) % MOD
  return bunshi * pow(bunbo, MOD - 2, MOD) % MOD


def main():
  X, Y = map(int, readline().split())
  if (x + y) % 3 != 0 or (2 * x - y) % 3 != 0 or (2 * y - x) % 3 != 0:
    print(0)
    sys.exit()
  else:
    n = (2*Y - X)//3
    m = (2*X - Y)//3
    ans = nCr(n+m, n)
  print(ans%MOD)
  
  
  
if __name__ == '__main__':
  main()
Problem p02881 (python)

Fixed submission:
from collections import deque
from collections import Counter
from itertools import product, permutations,combinations
from operator import itemgetter
from heapq import heappop, heappush
from bisect import bisect_left, bisect_right, bisect
#pypyではscipy, numpyは使えない
#from scipy.sparse.csgraph import shortest_path, floyd_warshall, dijkstra, bellman_ford, johnson, minimum_spanning_tree
#from scipy.sparse import csr_matrix, coo_matrix, lil_matrix
import numpy as np
from fractions import gcd
from math import ceil,floor, sqrt, cos, sin, pi, factorial, log, log10, log2
import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
sys.setrecursionlimit(10**8)
INF = float('inf')
from datetime import datetime as dt

def main():
  n = int(readline())
  n2 = ceil(sqrt(n)) + 1
  ans = INF
  for i in range(1,n2):
    j = n//i
    if i*j==n:
      ans = min(ans, i+j-2)
  print(ans)
  
  
  
  
if __name__ == '__main__':
  main()

Buggy submission (verdict: Runtime Error):
from collections import deque
from collections import Counter
from itertools import product, permutations,combinations
from operator import itemgetter
from heapq import heappop, heappush
from bisect import bisect_left, bisect_right, bisect
#pypyではscipy, numpyは使えない
#from scipy.sparse.csgraph import shortest_path, floyd_warshall, dijkstra, bellman_ford, johnson, minimum_spanning_tree
#from scipy.sparse import csr_matrix, coo_matrix, lil_matrix
import numpy as np
from fractions import gcd
from math import ceil,floor, sqrt, cos, sin, pi, factorial, log, log10, log2
import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
sys.setrecursionlimit(10**8)
INF = float('inf')
from datetime import datetime as dt

def main():
  n = int(readline())
  x = [0] *n
  y = [0]*n
  for i in range(n):
    x[i], y[i] = map(int, readline().split())
  dis = [[0 for i in range(n)]for j in range(n)]
  total = 0
  for i in range(n):
    for j in range(i+1,n):
      total += 2*((x[i]-x[j])**2+(y[i]-y[j])**2)**0.5
  print(total/n)
  
  
  
  
if __name__ == '__main__':
  main()
Problem p02933 (python)

Fixed submission:
from collections import deque
from collections import Counter
from itertools import product, permutations,combinations
from operator import itemgetter
from heapq import heappop, heappush
from bisect import bisect_left, bisect_right, bisect
#pypyではscipy, numpyは使えない
#from scipy.sparse.csgraph import shortest_path, floyd_warshall, dijkstra, bellman_ford, johnson, minimum_spanning_tree
#from scipy.sparse import csr_matrix, coo_matrix, lil_matrix
#import numpy as np
from fractions import gcd
from math import ceil,floor, sqrt, cos, sin, pi, factorial
import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
sys.setrecursionlimit(10**8)
INF = float('inf')

def main():
  a = int(readline())
  s = input()
  if a<3200:
    print('red')
  else:
    print(s)
  
  
if __name__ == '__main__':
  main()

Buggy submission (verdict: Runtime Error):
from collections import deque
from collections import Counter
from itertools import product, permutations,combinations
from operator import itemgetter
from heapq import heappop, heappush
from bisect import bisect_left, bisect_right, bisect
#pypyではscipy, numpyは使えない
#from scipy.sparse.csgraph import shortest_path, floyd_warshall, dijkstra, bellman_ford, johnson, minimum_spanning_tree
#from scipy.sparse import csr_matrix, coo_matrix, lil_matrix
#import numpy as np
from fractions import gcd
from math import ceil,floor, sqrt, cos, sin, pi, factorial
import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
sys.setrecursionlimit(10**8)
INF = float('inf')

def main():
  a = int(read())
  s = input()
  if a<3200:
    print('red')
  else:
    print(s)
  
  
if __name__ == '__main__':
  main()

Buggy submission (verdict: Runtime Error):
from collections import deque
from collections import Counter
from itertools import product, permutations,combinations
from operator import itemgetter
from heapq import heappop, heappush
from bisect import bisect_left, bisect_right, bisect
#pypyではscipy, numpyは使えない
#from scipy.sparse.csgraph import shortest_path, floyd_warshall, dijkstra, bellman_ford, johnson, minimum_spanning_tree
#from scipy.sparse import csr_matrix, coo_matrix, lil_matrix
#import numpy as np
from fractions import gcd
from math import ceil,floor, sqrt, cos, sin, pi, factorial
import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
sys.setrecursionlimit(10**8)
INF = float('inf')

def main():
  a = int(read())
  s = read()
  if a<3200:
    print('red')
  else:
    print(s)
  
  
if __name__ == '__main__':
  main()
Problem p02984 (python)

Fixed submission:
N = int(input())
a = list(map(int, input().split()))
x = [0] * N
x[0] = sum([a[i] for i in range(N) if i % 2 == 0]) - sum([a[i] for i in range(N) if i % 2 != 0])
for i in range(N - 1):
    x[i + 1] = 2 * a[i] - x[i]
print(*x)

Buggy submission (verdict: Runtime Error):
import sys
import numpy as np
readline = sys.stdin.buffer.readline

def main():
    N = int(readline())
    B = np.array(readline().split(), np.int64)
    A = np.eye(N, dtype=np.int64) + np.eye(N, k=1, dtype=np.int64)
    A[N-1][0] = 1
    ans = np.linalg.solve(A, B).astype(np.int64) * 2
    print(' '.join(map(str, ans)))

if __name__ == '__main__':
    main()