Harryxun/GPT-100-sft-dataset huggingface dataset:
Problem p03015 (python)

Fixed submission:
l=input()
n=len(l)
mod=pow(10,9)+7
import sys
sys.setrecursionlimit(10**7)
#dp1,dp2=[0]*n,[0]*n
dp1,dp2=0,1
for i in range(n):
  if l[i]=='0':
    dp1*=3
  else:
    dp1*=3
    dp1+=dp2
    dp2*=2
  dp1%=mod
  dp2%=mod
print((dp1+dp2)%mod)

Buggy submission (verdict: Runtime Error):
l=input()
mod=pow(10,9)+7

def func(li):
  if '0' not in li:
    return pow(3,len(li),mod)
  elif len(li)==1:
    if li=='1':
      return 3
    else:
      return 1
  elif li[0]=='0':
    return func(li[1:])%mod
  else:
    ret=(2*func(li[1:]))%mod
    ret+=func('1'*(len(li)-1))%mod
    return ret%mod
print(func(l))

Buggy submission (verdict: Runtime Error):
l=input()
mod=pow(10,9)+7

def func(li):
  if '0' not in li:
    return pow(3,len(li),mod)
  elif len(li)==1:
    if li=='1':
      return 3
    else:
      return 1
  elif li[0]=='0':
    return func(li[1:])%mod
  else:
    ret=(2*func(li[1:]))%mod
    ret+=func('1'*(len(li)-1))%mod
    return ret%mod
print(func(l))

Buggy submission (verdict: Runtime Error):
l=input()
mod=pow(10,9)+7

def func(li):
  if '0' not in li:
    return pow(3,len(li),mod)
  if len(li)==1:
    if li=='1':
      return 3
    else:
      return 1
  if li[0]=='0':
    return func(li[1:])
  else:
    ret=(2*func(li[1:]))%mod
    ret+=func('1'*(len(li)-1))
    return ret%mod
print(func(l))
Problem p03805 (python)

Fixed submission:
n,m=map(int,input().split())
g=[[]for _ in range(n)]
for _ in range(m):
  a,b=map(int,input().split())
  g[a-1].append(b-1)
  g[b-1].append(a-1)
import sys
sys.setrecursionlimit(10**7)

def dfs(t,seen):
  if all(seen):
    return 1
  ret=0
  l=g[t]
  for li in l:
    if seen[li]==0:
      seenli=seen.copy()
      seenli[li]=1
      ret+=dfs(li,seenli)
  return ret
seen=[0]*n
seen[0]=1
print(dfs(0,seen))

Buggy submission (verdict: Runtime Error):
n,m=map(int,input().split())
g=[[]for _ in range(n)]
for _ in range(n):
  a,b=map(int,input().split())
  g[a-1].append(b-1)
  g[b-1].append(a-1)
import sys
sys.setrecursionlimit(10**7)

def dfs(t,seen):
  if all(seen):
    return 1
  ret=0
  l=g[t]
  for li in l:
    if seen[li]==0:
      seenli=seen.copy()
      seenli[li]=1
      ret+=dfs(li,seenli)
  return ret
seen=[0]*n
seen[0]=1
print(dfs(0,seen))
Problem p02948 (python)

Fixed submission:
import heapq

n, m = map(int, input().split())
jobs = dict()

for i in range(n):
    a, b = map(int, input().split())
    if not a in jobs.keys():
        jobs[a] = [-b]
    else:
        jobs[a].append(-b)
# print(jobs)
sum_money = 0
money_list = [0]
heapq.heapify(money_list)
for i in range(1, m+1):
    if i in jobs.keys():
        for money in jobs[i]:
            heapq.heappush(money_list, money)
    # print(money_list)
    max_money = -heapq.heappop(money_list)
    sum_money += max_money
    if max_money == 0:
        heapq.heappush(money_list, 0)
print(sum_money)

Buggy submission (verdict: Runtime Error):
n, m = map(int, input().split())
jobs = dict()

for i in range(n):
    a, b = map(int, input().split())
    if not a in jobs.keys():
        jobs[a] = [b]
    else:
        jobs[a].append(b)

print(jobs)

days = []
money_list = [0]
for i in range(1, m+1):
    # print('days', days)
    if i in jobs.keys():
        money_list.extend(jobs[i])
    # print(money_list)
    days.append(max(money_list))
    money_list.remove(max(money_list))

print(sum(days))
Problem p02829 (python)

Fixed submission:
import numpy as np
import scipy as sp

a = int(input())
b = int(input())
print(6-a-b)

Buggy submission (verdict: Runtime Error):
import numpy as np
import scipy as sp

a = int(input())
b = int(input())
print(6-a-b)
Problem p02833 (python)

Fixed submission:
n = int(input())
ans = 0
if(n%2 != 1):
  for i in range(1,30):
    ans = ans + n//(2*5**i)
print(ans)

Buggy submission (verdict: Runtime Error):
#include <bits/stdc++.h>
#define rep(i, n) for (ll(i) = 0; (i) < (n); (i)++)
#define all(x) (x).begin(), (x).end()
#define print(x) cout << (x) << endl;

typedef long long ll;
const ll INF = 99999999999999;
const ll MOD = 1000000007;

ll gcd(ll a, ll b)
{
    if (b == 0)
        return a;
    return gcd(b, a % b);
}
ll lcm(ll number1, ll number2)
{
    return number1 * number2 / gcd(number1, number2);
}
template <class T>
bool contain(const std::string &s, const T &v)
{
    // contain(to_string(N), '3')
    return s.find(v) != std::string::npos;
}

int ctoi(char c)
{
    if (c >= '0' && c <= '9')
        return c - '0';
    return 0;
}
using namespace std;

int main()
{

    ll n, tmp, pau, ans = 0;
    cin >> n;

    for (ll i = 1; i < 30; i++)
    {
        pau = 1;
        rep(j, i)
        {
            pau *= 5;
        }
        pau = 2 * pau;
        if (n >= pau)
        {
            tmp = i;
            ans += n / pau;
        }
    }
    cout << ans << endl;
    // ll n, tmp, ans = 0;
    // n = 12;
    // tmp = n;
    // while (tmp >= 2)
    // {
    //     ans *= tmp;
    //     tmp -= 2;
    // }
    // cout << ans << endl;
    return 0;
}
Problem p03805 (python)

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

n, m = list(map(int, input().split()))
data = [[] for _ in range(n)]
for i in range(m):
    a, b = map(int, input().split())
    data[a-1].append(b-1)
    data[b-1].append(a-1)

ans = 0


def dfs(pos, cnt, his):
    global ans
    his[pos] = 1
    if cnt == n:
        if sum(his) == n:
            ans += 1
        return

    for next in data[pos]:
        dfs(next, cnt+1, his[:])


dfs(0, 1, [0]*n)
print(ans)

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

n, m = list(map(int, input().split()))
data = [[] for _ in range(n)]
for i in range(n):
    a, b = map(int, input().split())
    data[a-1].append(b-1)
    data[b-1].append(a-1)

ans = 0


def dfs(pos, cnt, his):
    global ans
    his[pos] = 1
    if cnt == n:
        if sum(his) == n:
            ans += 1
        return

    for next in data[pos]:
        dfs(next, cnt+1, his[:])
    return


dfs(0, 1, [0]*n)
print(ans)

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

n, m = list(map(int, input().split()))
data = [[] for _ in range(n)]
done = [False for _ in range(n)]
for i in range(n):
    a, b = map(int, input().split())
    data[a-1].append(b-1)
    data[b-1].append(a-1)

ans = 0


def dfs(pos, cnt, his):
    global ans
    his[pos] = 1
    if cnt == n:
        if sum(his) == n:
            ans += 1
        return

    for next in data[pos]:
        dfs(next, cnt+1, his[:])


dfs(0, 1, [0]*n)
print(ans)

Buggy submission (verdict: Runtime Error):
n, m = list(map(int, input().split()))
data = [[] for _ in range(n)]
done = [False for _ in range(n)]
for i in range(n):
    a, b = map(int, input().split())
    data[a-1].append(b-1)

ans = 0


def dfs(pos, cnt):
    global ans
    done[pos] = True
    if cnt >= n-1:
        ans += 1
    for next in data[pos]:
        if not done[next]:
            dfs(next, cnt+1)


dfs(0, 0)
print(ans+1)

Buggy submission (verdict: Runtime Error):
n, m = list(map(int, input().split()))
data = [[] for _ in range(n)]
done = [False for _ in range(n)]
for i in range(n):
    a, b = map(int, input().split())
    data[a-1].append(b-1)


def dfs(pos, cnt):
    done[pos] = True
    if cnt >= n-1:
        return 1
    ans = 0
    for next in data[pos]:
        if not done[next]:
            ans += dfs(next, cnt+1)
    return ans


ans = dfs(0, 0)
print(ans+1)
Problem p02859 (python)

Fixed submission:
def examA():
    N = I()
    ans = N*N
    print(ans)

def examB():
    N = I()


import sys,copy,bisect,itertools
from heapq import heappop,heappush,heapify
from collections import Counter,defaultdict,deque
def I(): return int(sys.stdin.readline())
def LI(): return list(map(int,sys.stdin.readline().split()))
def LS(): return sys.stdin.readline().split()
def S(): return sys.stdin.readline().strip()
mod = 10**9 + 7
inf = float('inf')

examA()

Buggy submission (verdict: Runtime Error):
def examE():
    N, T = LI()
    A, B = [0] * N, [0] * N
    for i in range(N):
        A[i], B[i] = LI()
    dp = [[[0,0] for _ in range(T+ 1)] for _ in range(N + 1)]
    for i in range(N):
        for j in range(A[i],T+1):
            dp[i + 1][j][0] = max(dp[i + 1][j][0], dp[i][j - A[i]][0] + B[i])
            dp[i + 1][j][1] = max(dp[i + 1][j][1], dp[i][j - A[i]][1] + B[i])
        for j in range(1,T+1):
            dp[i+1][j][1] = max(dp[i+1][j][1], dp[i][j-1][0] + B[i])
            dp[i + 1][j][0] = max(dp[i + 1][j][0], dp[i][j][0])
            dp[i + 1][j][1] = max(dp[i + 1][j][1], dp[i][j][1])
#    print(dp[N][T])
    ans = max(dp[N][T])
    print(ans)

import sys,copy,bisect,itertools
from heapq import heappop,heappush,heapify
from collections import Counter,defaultdict,deque
def I(): return int(sys.stdin.readline())
def LI(): return list(map(int,sys.stdin.readline().split()))
def LS(): return sys.stdin.readline().split()
def S(): return sys.stdin.readline().strip()
mod = 10**9 + 7
inf = float('inf')

examE()
Problem p02891 (python)

Fixed submission:
S = str(input())
K = int(input())
ans = int(0)
count = int(0)
count_first = int(0)
onelen = int(0)
if S[0]==S[-1]:
    count_first += 1
#if count_first == 0:
for i in range(1,len(S)):
    if S[i] == S[i - 1] and i != len(S) - 1:
        count += 1
    elif S[i] == S[i - 1] and i == len(S) - 1:
        count += 1
        if count != len(S)-1:
            onelen += (count + 1) // 2
        else:
            ans = ((count+1) * K) // 2

    else:
        onelen += (count + 1) // 2
        count = 0
if ans == 0:
    ans = onelen * K
#    if S[0] == S[-1]:
#        ans -= 2
if len(S)==1:
    ans = K//2

#else:
if count_first==1 and count != len(S)-1:
    i = int(0)
    while S[i] == S[i + 1]:
        count_first += 1
        i += 1
    i = int(-1)
    while S[i] == S[i - 1]:
        count_first += 1
        i -= 1
    if count_first % 2 == 1:
        ans += K-1

print(ans)

Buggy submission (verdict: Runtime Error):
S = str(input())
K = int(input())
ans = int(0)
count = int(0)
count_first = int(0)
onelen = int(0)
if S[0]==S[-1]:
    count_first += 1
#if count_first == 0:
for i in range(1,len(S)):
    if S[i] == S[i - 1] and i != len(S) - 1:
        count += 1
    elif S[i] == S[i - 1] and i == len(S) - 1:
        count += 1
        if count != len(S)-1:
            onelen += (count + 1) // 2
        else:
            ans = ((count+1) * K) // 2
            print(ans)
            exit()
    else:
        onelen += (count + 1) // 2
        count = 0
if ans == 0:
    ans = onelen * K
#    if S[0] == S[-1]:
#        ans -= 2

#else:
if count_first==1:
    i = int(0)
    while S[i] == S[i + 1]:
        count_first += 1
        i += 1
    i = int(-1)
    while S[i] == S[i - 1]:
        count_first += 1
        i -= 1
    if count_first % 2 == 1:
        ans += K-1

print(ans)
Problem p02933 (python)

Fixed submission:
a = int(input())
s = str(input())

if a>=3200:
    print(s)
else:
    print("red")

Buggy submission (verdict: Runtime Error):
a = int(input())
s = str(input())

if a>=3200:
    print(s)
else:
    print(red)
Problem p02990 (python)

Fixed submission:
from operator import mul
from functools import reduce
def comb2(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

import sys
def I(): return int(sys.stdin.readline())
def LI(): return list(map(int,sys.stdin.readline().split()))
mod = 10**9 + 7
inf = float('inf')
ans = []

N, K = LI()

for i in range(1,K+1):
    a = int(0)
    if N-K-i+1>=0 and K-i+1>=0:
        a += comb2(N-K+1,i)*comb2(K-1,i-1)
    print(a%mod)

Buggy submission (verdict: Runtime Error):
import numpy as np
from functools import reduce
from operator import mul

def comb2(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,K = map(int,input().split())
ans = int(0)

for i in range(1,K+1):
    R = int(0)
    B = int(0)

    B = comb2(K-1,i-1)
    R = comb2(N-K+1,i)

    ans = (B*R)%1000000007
    print(ans)
Problem p03017 (python)

Fixed submission:
N,A,B,C,D = map(int,input().split())
S = str(input())
ans = "Yes"

S0 = S[:A]
Sa = S[A-1:C]
Sb = S[B-2:D+1]
F = max(C,D)
S1 = S[F:]
#if S0.rfind('##')>=0 and S1.find('##')>=0 :
#    Sfe = S[S0.rfind('##'):(F+S1.find('##'))]
#elif S0.rfind('##')>=0 :
#    Sfe = S[S0.rfind('##'):]
#elif S1.find('##')>=0 :
#    Sfe = S[:(F+S1.find('##'))]
#else :
#    Sfe = S


#if S.find('##')>=0 and A<S.find('ABC')<C or B<S.find('ABC')<D:
if Sa.find('##')>=0 or Sb.find('##')>=0:
    ans = "No"

if A<B<D<C and not '...' in Sb:
    ans = "No"

print(ans)

Buggy submission (verdict: Runtime Error):
using namespace std;
 
int main() {
    int N, A, B, C, D;
    string S;
    cin >> N >> A >> B >> C >> D >> S;
    
    S = "#" + S + "#";
 
    auto can_reach = [&](int start, int end) {
        for (int i = start; i + 1 <= end; i++) {
            if (S[i] == '#' && S[i + 1] == '#') return false;
        }
Problem p03253 (python)

Fixed submission:
from math import factorial
from operator import mul
from functools import reduce

def comb2(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

def pff(m):
    pf = {}
    for i in range(2, int(m ** 0.5) + 1):
        while m % i == 0:
            pf[i] = pf.get(i, 0) + 1
            m //= i
    if m > 1: pf[m] = 1
    return pf

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


anst = int(1)
for i in L.values():
    anst *= comb2(i+N-1, i)
    anst = anst%1000000007

ans = anst
print(ans)

Buggy submission (verdict: Runtime Error):
from math import factorial
from operator import mul
from functools import reduce

N, M = map(int, input().split())
A = [int(x) for x in input().split()]

dp = [-10**5]*(N+1)
dp[0] = 0
t = [0,2,5,5,4,5,6,3,7,6]

for i in range(2,N+1):
    for x in A:
        if i-t[x] >= 0:
            dp[i] = max(dp[i],dp[i-t[x]] + 1)

A.sort(reverse=True)
cur = ""
idx = N
while idx >0:
    for x in A:
        if idx - t[x] >= 0 and dp[idx] == dp[idx-t[x]] + 1:
            cur += str(x)
            idx -= t[x]
            break
print(cur)

Buggy submission (verdict: Runtime Error):
def comb2(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

def pff(m):
    pf = {}
    for i in range(2, int(m ** 0.5) + 1):
        while m % i == 0:
            pf[i] = pf.get(i, 0) + 1
            m //= i
    if m > 1: pf[m] = 1
    return pf

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


anst = int(1)
for i in L.values():
    anst *= comb2(i+N-1, i)
    anst = anst%1000000007

ans = anst
print(ans)
Problem p02598 (python)

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

low=1
high=2*max(A)
X=max(A)
while low<=high:
  mid=(low+high)//2
  cnt = 0
  for i in range(N):
      if A[i]%mid==0:
          cnt += A[i]//mid-1
      else:
          cnt += A[i]//mid
  if K<cnt:
    low=mid+1
  else:
    X=min(X,mid)
    high=mid-1
print(X)

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

low=0
high=max(A)
X=max(A)
while low<=high:
  mid=(low+high)//2
  cnt = 0
  for i in range(N):
      cnt += A[i]//mid
  if K<cnt:
    low=mid+1
  else:
    X=min(X,mid)
    high=mid-1
print(X)

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

low=0
high=max(A)
X=max(A)
while low<=high:
  mid=(low+high)//2
  cnt = 0
  for i in range(N):
      cnt += A[i]//mid
  if K<cnt:
    low=mid+1
  else:
    X=mid
    high=mid-1
print(X)
Problem p02781 (python)

Fixed submission:
def framod(n, mod, a=1):
    for i in range(1,n+1):
        a=a * i % mod
    return a
def power(n, r, mod):
    if r == 0: return 1
    if r%2 == 0:
        return power(n*n % mod, r//2, mod) % mod
    if r%2 == 1:
        return n * power(n, r-1, mod) % mod
def comb(n, k, mod):
    a=framod(n, mod)
    b=framod(k, mod)
    c=framod(n-k, mod)
    return (a * power(b, mod-2, mod) * power(c, mod-2, mod)) % mod



N = int(input())
K = int(input())
SN = str(N)
LN = list(SN)
keta =len(LN)
Nzer = keta-K
Nsei = K
output = 0
if keta>=K:
    output += comb(keta,K,10**9+7)*9**K
    t = 0
    s = 0
    while (s<=K-1)and(t<=keta-1):
        if LN[t]!="0":
            output -= (9-int(LN[t]))*comb(keta-1-t,K-1-s,10**9+7)*9**(K-1-s)
            t += 1
            s += 1
        elif LN[t]=="0":
            output -= (9-int(LN[t]))*comb(keta-1-t,K-1-s,10**9+7)*9**(K-1-s)
            t+=1
print(int(output))

Buggy submission (verdict: Runtime Error):
N = int(input())
K = int(input())
SN = str(N)
LN = list(SN)
keta =len(LN)
Nzer = keta-K
Nsei = K
output = 0
if keta>=K:
    output += comb(keta,K,10**9+7)*9**K
    t = 0
    while K-1-t>=0:
        output -= (9-int(LN[t]))*comb(keta-1-t,K-1-t,10**9+7)*9**(K-1-t)
        t += 1
print(output)

Buggy submission (verdict: Runtime Error):
def framod(n, mod, a=1):
    for i in range(1,n+1):
        a=a * i % mod
    return a
def power(n, r, mod):
    if r == 0: return 1
    if r%2 == 0:
        return power(n*n % mod, r//2, mod) % mod
    if r%2 == 1:
        return n * power(n, r-1, mod) % mod
def comb(n, k, mod):
    a=framod(n, mod)
    b=framod(k, mod)
    c=framod(n-k, mod)
    return (a * power(b, mod-2, mod) * power(c, mod-2, mod)) % mod



N = int(input())
K = int(input())
SN = str(N)
LN = list(SN)
keta =len(LN)
Nzer = keta-K
Nsei = K
output = 0

output += comb(keta,K,10**9+7)*9**K
t = 0
while K-1-t>=0:
    output -= (9-int(LN[t]))*comb(keta-1-t,K-1-t,10**9+7)*9**(K-1-t)
    t += 1
print(output)
Problem p02793 (python)

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

import fractions

X = A[0]
for i in range(1, N):
    X = X*A[i] // fractions.gcd(X, A[i])

output = 0
D =10**9+7
X = X%D

for i in range(N):
    output += X*pow(A[i],D-2,D)%D
    output = output % (10**9+7)
print(int(output))

Buggy submission (verdict: Runtime Error):
N = int(input())
A = list(map(int,input().split()))
A.sort()
import fractions
X1 = A[0]
Y = 1
for i in range(1, N):
    X2 = X1 // fractions.gcd(X1, A[i]) * A[i]
    Y *= int(X2/X1)
    Y += int(X2/A[i])
    Y = Y%(10**9+7)
    X1 = X2
print(Y)

Buggy submission (verdict: Runtime Error):
N = int(input())
A = list(map(int,input().split()))
import fractions
X1 = A[0]
Y = 1
for i in range(1, N):
    X2 = X1 // fractions.gcd(X1, A[i]) * A[i]
    Y *= int(X2/X1)
    Y += int(X2/A[i])
    Y = Y%(10**9+7)
    X1 = X2
print(Y)

Buggy submission (verdict: Runtime Error):
N = int(input())
A = list(map(int,input().split()))
import fractions
X = A[0]
for i in range(1, N):
    X = X // fractions.gcd(X, A[i]) * A[i] 

output = 0
for i in range(N):
    output += int(X/A[i])%(10**9+7)
    if output > 10**9+7:
        output = output % (10**9+7)
print(output)

Buggy submission (verdict: Runtime Error):
N = int(input())
A = list(map(int,input().split()))
import fractions
X = A[0]
for i in range(1, N):
    X = X // fractions.gcd(X, A[i]) * A[i] 

output = 0
for i in range(N):
    output += int(X/A[i])%(10**9+7)
    if output > 10**9+7:
        output = output % (10**9+7)
print(output)

Buggy submission (verdict: Runtime Error):
N = int(input())
A = list(map(int,input().split()))
import fractions
X = A[0]
for i in range(1, N):
    X = X * A[i] // fractions.gcd(X, A[i])

output = 0
for i in range(N):
    output += int(X/A[i])
    if output > 10**9+7:
        output = output % (10**9+7)
print(output)
Problem p02891 (python)

Fixed submission:
S = list(input())
K = int(input())

N = len(S)
first = S[0]
last = S[-1]
now = 1
ing = 0
a = []
cnt = 1
flag = 0
if N > 1:
    while now < N:
        if S[now] == S[now-1]:
            ing = 1
            cnt += 1
            now += 1
            continue
        else:
            if ing ==1:
                a.append(cnt)
                cnt = 1
                now +=1
                ing = 0
            else:
                now +=1
                cnt = 1
                ing = 0
    if ing ==1:
        a.append(cnt)

    output = 0
    for j in range(len(a)):
        output += a[j]//2

    if first==last:
        if S[0]==S[1]:
            if S[-1]==S[-2]:
                X =a[0]
                Y =a[-1]
            else:
                X = a[0]
                Y = 1
        else:
            if S[-1]==S[-2]:
                X = 1
                Y =a[-1]
            else:
                X = 1
                Y = 1

        if (X==1)and(Y==1):
            output += 1
            flag = 1
        elif X==1:
            if Y%2==1:
                output+=1
                flag = 1
        elif Y==1:
            if X%2==1:
                output+=1
                flag = 1
        else:
            if (X%2==1)and(Y%2==1):
                output += 1
                flag = 1

    output = output * K - flag
    if (len(a)==1)and(a[0]==N):
        output = (K*N)//2
elif N == 1:
    output = K//2

print(output)

Buggy submission (verdict: Runtime Error):
S = list(input())
K = int(input())
N = len(S)

C0 = []
cnt = 1
for i in range(1,N):
    if S[i]==S[i-1]:
        cnt+=1
        if i==N-1:
            C0.append(cnt)
    else:
        C0.append(cnt)
        cnt = 1
out0 = 0
for m in C0:
    out0 += m//2

if S[0]!=S[-1]:
    out = out0*K
else:
    X = (C0[0] + C0[-1])//2
    Y = C0[0]//2 + C0[-1]//2
    out = (out0-Y)*K
    out += X*(K-1)
    out += Y
print(out)

Buggy submission (verdict: Runtime Error):
S = list(input())
K = int(input())

N = len(S)
first = S[0]
last = S[-1]
now = 1
ing = 0
a = []
cnt = 1
flag = 0
while now < N:
    if S[now] == S[now-1]:
        ing = 1
        cnt += 1
        now += 1
        continue
    else:
        if ing ==1:
            a.append(cnt)
            cnt = 1
            now +=1
            ing = 0
        else:
            now +=1
            cnt = 1
            ing = 0
if ing ==1:
    a.append(cnt)

output = 0
for j in range(len(a)):
    output += a[j]//2

if first==last:
    if S[0]==S[1]:
        if S[-1]==S[-2]:
            X =a[0]
            Y =a[-1]
        else:
            X = a[0]
            Y = 1
    else:
        if S[-1]==S[-2]:
            X = 1
            Y =a[-1]
        else:
            X = 1
            Y = 1

    if (X==1)and(Y==1):
        output += 1
        flag = 1
    elif X==1:
        if Y%2==1:
            output+=1
            flag = 1
    elif Y==1:
        if X%2==1:
            output+=1
            flag = 1
    else:
        if (X%2==1)and(Y%2==1):
            output += 1
            flag = 1

output = output * K - flag

print(output)