qyliang/CodeNanoFix huggingface dataset:
Buggy code:
n,x,m = map(int, input().split())
be = x % m
ans = be
memo = [[0,0] for i in range(m)]
am = [be]
memo[be-1] = [1,0]  #len-1
for i in range(n-1):
    be = be**2 % m
    if be == 0:
        break
    elif memo[be-1][0] == 1:
        kazu = memo[be-1][1]
        l = len(am) -  kazu 
        syou = (n-i) // l
        amari = (n-i)%l
        sum = 0
        for k in range(kazu, len(am)):
            sum += am[k]
        ans = ans + syou*sum
        if amari > 0:
            for j in range(kazu,kazu + amari):
                ans += am[j]
        break
    else:
        ans += be
        am.append(be)
        memo[be-1][0] = 1
        memo[be-1][1] = len(am) -1
print(ans)

Fixed code:
n,x,m = map(int, input().split())
be = x % m
ans = be
memo = [[0,0] for i in range(m)]
am = [be]
memo[be-1] = [1,0]  #len-1
for i in range(n-1):
    be = be**2 % m
    if be == 0:
        break
    elif memo[be-1][0] == 1:
        kazu = memo[be-1][1]
        l = len(am) -  kazu
        syou = (n-i-1) // l
        amari = (n-i-1)%l
        sum = 0
        for k in range(kazu, len(am)):
            sum += am[k]
        ans = ans + syou*sum
        if amari > 0:
            for j in range(kazu,kazu + amari):
                ans += am[j]
        break
    else:
        ans += be
        am.append(be)
        memo[be-1][0] = 1
        memo[be-1][1] = len(am) -1
print(ans)
Buggy code:
N,X,M=map(int,input().split())

seen=[-2]*M
seen[X]
A=[X]
i=1
while(i<N):
    T=A[-1]**2%M
    if seen[T]!=-2:
        Roop=i-seen[T]
        Left,Right=seen[T],i
        break
    A.append(T)
    seen[T]=i
    i+=1

if i==N:
    print(sum(A)+T)
    exit()

Roopsum=0
for i in range(Left,Right):
    Roopsum+=A[i]

Rest=N-len(A)

ans=sum(A)

ans+=Rest//Roop*Roopsum

for i in range(Rest%Roop):
    ans+=T
    T=T**2%M
print(ans)

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

seen=[-2]*M
seen[X]
A=[X]
i=1
while(i<N):
    T=A[-1]**2%M
    if seen[T]!=-2:
        Roop=i-seen[T]
        Left,Right=seen[T],i
        break
    A.append(T)
    seen[T]=i
    i+=1

if i==N:
    print(sum(A))
    exit()

Roopsum=0
for i in range(Left,Right):
    Roopsum+=A[i]

Rest=N-len(A)

ans=sum(A)

ans+=Rest//Roop*Roopsum

for i in range(Rest%Roop):
    ans+=T
    T=T**2%M
print(ans)
Buggy code:
n,x,m=map(int,input().split())
l=[0 for i in range(m)]
ans=0
y=[]
i=1
flag=0
ys=n
while i<n:
    if flag==0:
        ans+=x
    l[x]+=1
    x=x*x%m
    i+=1
    if l[x]==2 and flag==0:
        flag=1
        ys=i
    if flag:
        if l[x]==3:
            break
        y.append(x)
if len(y):
    p,pp=divmod(n-ys,len(y))
    print(ans+p*sum(y)+sum(y[:pp+1]))
    print(ans,p*sum(y),sum(y[:pp+1]))
else:
    print(ans)

Fixed code:
n,x,m=map(int,input().split())
l=[0 for i in range(m)]
ans=0
y=[]
i=1
flag=0
ys=n
while i<n+1:
    if flag==0:
        ans+=x
    l[x]+=1
    x=x*x%m
    i+=1
    if l[x]==2 and flag==0:
        flag=1
        ys=i
    if flag:
        if l[x]==3:
            break
        y.append(x)
if len(y):
    p,pp=divmod(n-ys,len(y))
    print(ans+p*sum(y)+sum(y[:pp+1]))
    #print(ans,p*sum(y),sum(y[:pp+1]))
else:
    print(ans)
Buggy code:
def resolve():
  N, X, M = map(int, input().split(" "))
  checked = [False] * M
  val = X
  ans = 0
  val_list = []

  base = M
  for i in range(N):
    if checked[val] != False:
      loop_start_index = checked[val]
      loop_vals = val_list[loop_start_index:]
      loop_val = sum(loop_vals)
      loop_length = len(val_list[loop_start_index:])
      
      if loop_length != 0:
        ans += ((N - i) // loop_length) * loop_val

        for i in range(((N - i) % loop_length)):
          ans += loop_vals[i]
      break
    ans += val
    checked[val] = i
    val_list.append(val)

    val*=val
    if val >= base:
      val %= base


  print(ans)


Fixed code:

def resolve():
  N, X, M = map(int, input().split(" "))
  checked = [False] * M
  val = X
  ans = 0
  val_list = []

  base = M
  for i in range(N):
    if checked[val] != False:
      loop_start_index = checked[val]
      loop_vals = val_list[loop_start_index:]
      loop_val = sum(loop_vals)
      loop_length = len(val_list[loop_start_index:])
      
      if loop_length != 0:
        ans += ((N - i) // loop_length) * loop_val

        for i in range(((N - i) % loop_length)):
          ans += loop_vals[i]
      break
    ans += val
    checked[val] = i
    val_list.append(val)

    val*=val
    if val >= base:
      val %= base


  print(ans)

if __name__ == "__main__":
  resolve()
Buggy code:
n, x, m = map(int, input().split())
ans = 0
prev_set = set()
prev_list = list()
ans_hist = list()
r = x

for i in range(n):
    if i == 0:
        pass
    else:
        r = (r * r) % m
    
    if r == 0:
        break
    
    if r in prev_set:
        index = prev_list.index(r)
        period = i - index
        count = (n - index) / period
        rest = (n - index) % period
        ans += (ans - ans_hist[index - 1]) * (count - 1)
        ans += (ans_hist[index + rest - 1] - ans_hist[index - 1])
        break
    else:
        ans += r
        prev_set.add(r)
        prev_list.append(r)
        ans_hist.append(ans)
print(ans)


Fixed code:
n, x, m = map(int, input().split())
ans = 0
prev_set = set()
prev_list = list()
ans_hist = list()
r = x

for i in range(n):
    if i == 0:
        pass
    else:
        r = (r * r) % m
    
    if r == 0:
        break
    
    if r in prev_set:
        index = prev_list.index(r)
        period = i - index
        count = (n - index) // period
        rest = (n - index) % period

        ans = sum(prev_list[:index])
        ans += sum(prev_list[index:i]) * count
        # ans += (ans - ans_hist[index - 1]) * (count - 1)

        ans += sum(prev_list[index:index+rest])
        # ans += (ans_hist[index + rest - 1] - ans_hist[index - 1])
        break
    else:
        ans += r
        prev_set.add(r)
        prev_list.append(r)
        ans_hist.append(ans)
print(ans)
Buggy code:
N, X, M = map(int, input().split())
a = [0 for i in range(M+1)]
b = [X]
a[X-1] = 1

for i in range(min(N-1, M)):
  X = X**2%M
  a[X-1] += 1
  b.append(X)
  if a[X-1] > 1:
    break

if len(b) == N:
  print(sum(b))

else:
  ls = b.index(b[-1])
  print(b)
  bloop = b[ls:-1]
  ans = 0
  if ls > 0:
    for i in range(ls):
      ans += b[i]
  loop = (N-ls)//len(bloop)
  ans += sum(bloop) * loop
  if (N-ls)%len(bloop) != 0:
    for i in range((N-ls)%len(bloop)):
      ans += bloop[i]
  print(ans)

Fixed code:
N, X, M = map(int, input().split())
a = [0 for i in range(M+1)]
b = [X]
a[X-1] = 1

for i in range(min(N-1, M)):
  X = X**2%M
  a[X-1] += 1
  b.append(X)
  if a[X-1] > 1:
    break

if len(b) == N:
  print(sum(b))

else:
  ls = b.index(b[-1])
  bloop = b[ls:-1]
  ans = 0
  if ls > 0:
    for i in range(ls):
      ans += b[i]
  loop = (N-ls)//len(bloop)
  ans += sum(bloop) * loop
  if (N-ls)%len(bloop) != 0:
    for i in range((N-ls)%len(bloop)):
      ans += bloop[i]
  print(ans)
Buggy code:
from collections import defaultdict
N, X, M = map(int, input().split())
A = [X]
visited = set()
visited.add(X)

idx = defaultdict()
idx[X] = 0

iii = -1

for i in range(1, M):
    tmp = (A[-1]**2) % M
    if tmp not in visited:
        A.append(tmp)
        visited.add(tmp)
        idx[tmp] = i
    else:
        iii = idx[tmp]

print(A)
print(len(A))
print(iii)
if A[-1] == 0:
    print(sum(A))
    exit()
else:
    l = len(A)
    ans = 0
    if N % l == 0:
        ans += sum(A) * (N // l)
    else:
        ans += sum(A) * (N // l)
        rest = N % l
        if iii == -1:
            ans += sum(A[:rest])
        else:
            ans += (rest//l-iii)*sum(A[iii:])  + sum(A[iii:rest%(l-iii)])
    print(ans)


Fixed code:
from collections import defaultdict
N, X, M = map(int, input().split())
A = [X]
visited = set()
visited.add(X)

idx = defaultdict()
idx[X] = 0

iii = -1

for i in range(1, M):
    tmp = (A[-1]**2) % M
    if tmp not in visited:
        A.append(tmp)
        visited.add(tmp)
        idx[tmp] = i
    else:
        iii = idx[tmp]

# print(A)
# print(len(A))
# print(iii)

ans = 0

ans += sum(A[:iii])
N -= iii

l = len(A) - iii

ans += (N // l) * sum(A[iii:])
N -= N // l * l

ans += sum(A[iii:iii + N])

print(ans)
exit()
Buggy code:
n,x, m = map(int, input().split())
mod = [None for _ in range(m)]
count = x
loop = []
rem = []
for i in range(1, n):
    value = x * x % m
    rem.append(value)
    x = x * x % m
    if mod[value] != None:
        # print(mod)
        s_index = mod[value]
        loop = rem[s_index :]
        num = (n - s_index) // len(loop)
        amari = (n - s_index) % len(loop)
        if amari == 0:
            print(count + sum(loop) * num) 
        else:
            print(count + sum(loop) * num + sum(loop[:amari - 1])) 
        exit()
    else:
        mod[value] = i
        count += value
print(count)

Fixed code:
n,x, m = map(int, input().split())
mod = [None for _ in range(m)]
count = x
loop = []
rem = [x]
for i in range(1, n):
    value = (x * x) % m
    rem.append(value)
    x = (x * x) % m
    if mod[value] != None:
        # print(mod)
        s_index = mod[value]
        loop = rem[s_index : -1]
        num = (n - s_index) // len(loop)
        amari = (n - s_index) % len(loop)
        if amari == 0:
            print(sum(rem[:s_index]) + sum(loop) * num) 
        else:
            print(sum(rem[:s_index]) + sum(loop) * num + sum(loop[:amari])) 
        exit()
    else:
        mod[value] = i
        count += value
print(count)
Buggy code:
n,x,m=map(int,input().split())
l=[x]
n-=1
f=-1
while(n>0):
    x=x*x
    x%=m
    if x in l:
        for i in range(len(l)):
            if x==l[i]:
                f=i
                s=l[i:].copy()
                break
    if f!=-1:
        break
    l.append(x)
    n-=1

if n==0:
    print(sum(l))
else:
    ans=sum(l)
    l=s.copy()
    print(l,s)
    ans+=sum(l)*(n//len(l))
    c=n%len(l)
    f=0
    while(c!=0):
        ans+=l[f]
        c-=1
        f+=1
    print(ans)







Fixed code:
n,x,m=map(int,input().split())
l=[x]
n-=1
f=-1
while(n>0):
    x=x*x
    x%=m
    if x in l:
        for i in range(len(l)):
            if x==l[i]:
                f=i
                s=l[i:].copy()
                break
    if f!=-1:
        break
    l.append(x)
    n-=1

if n==0:
    print(sum(l))
else:
    ans=sum(l)
    l=s.copy()
    ans+=sum(l)*(n//len(l))
    c=n%len(l)
    f=0
    while(c!=0):
        ans+=l[f]
        c-=1
        f+=1
    print(ans)
Buggy code:
n,x,m=map(int, input().split())
alist=[]
blist=[0]*m
num=x%m
while blist[num]==0:
  alist.append(num)
  blist[num]=1
  num=(num**2)%m
num1=alist.index(num)
num2=len(alist)
if n<=num1:
  print(sum(alist[0:n]))
else:
  cycle=(n-num1)//(num2-num1+1)
  print(sum(alist[0:num1])+cycle*sum(alist[num1:num2])+sum(alist[num1:n-cycle*(num2-num1+1)]))

Fixed code:
n,x,m=map(int, input().split())
alist=[]
blist=[0]*m
num=x%m
while blist[num]==0:
  alist.append(num)
  blist[num]=1
  num=(num**2)%m
num1=alist.index(num)
num2=len(alist)
if x==1:
  print(n)
elif n<=num1:
  print(sum(alist[0:n]))
else:
  cycle=(n-num1)//(num2-num1)
  print(sum(alist[0:num1])+cycle*sum(alist[num1:num2+1])+sum(alist[num1:n-cycle*(num2-num1)]))
Buggy code:
n,x,m = map(int,input().split())
exist = [0] * (m+1)
ans = 0
imamade = []
cnt = 0
for i in range(n):
    if exist[x] == 1:
        break
    else:
        exist[x] = 1
        imamade.append(x)
        x *= x
        x %= m
        cnt += 1
    if i == n-1:
        print(sum(imamade))
        exit()
num = imamade.index(x)
n -= num
ans = sum(imamade[:num]) + sum(imamade[num:]) * (n // (cnt-num))
n %= (cnt-num)
for i in range(n-1):
    x *= x
    x %= m
    ans += x
print(ans)

Fixed code:
n,x,m = map(int,input().split())
exist = [0] * (m+1)
ans = 0
imamade = []
cnt = 0
for i in range(1,n+1):
    if exist[x] == 1:
        break
    else:
        ans += x
        exist[x] = 1
        imamade.append(x)
        x *= x
        x %= m
        cnt += 1
    if i == n:
        print(ans)
        exit()
num = imamade.index(x)
print(sum(imamade[:num]) + sum(imamade[num:]) * ((n-num) // (cnt-num)) + sum(imamade[num:num+((n-num) % (cnt-num))]))
Buggy code:
n, x, m = map(int, input().split())

lst, num, frag = set(), [], 0
for i in range(1, n + 1):
    lst.add(x), num.append(x)
    x = x ** 2 % m
    if x in lst:
        flag = 1
        break

ans = sum(num)
if flag == 1:
    cnt, idx = i, num.index(x)
    div, mod = divmod(n - cnt, len(num) - idx)
    ans = sum(num[idx:idx + mod])
    ans += sum(num[idx:]) * div
print(ans)


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

lst = set()
num = []
for i in range(1, n + 1):
    lst.add(x), num.append(x)
    x = x ** 2 % m
    if x in lst:
        cnt, idx = i, num.index(x)
        div, mod = divmod(n - cnt, len(num) - idx)
        ans = sum(num[:idx + mod])
        ans += sum(num[idx:]) * (div + 1)
        break
else:
    ans = sum(num)
print(ans)
Buggy code:
N, X, M = map(int, input().split())

lim = 10**5+1

f = [0]*(lim)
a = [0]*(lim)

x = X
f[x] = 1
a[1] = x

ans = x

i = 1
l = N
while i < l:
    i += 1

    x **= 2
    x %= M
    if not x:
        break

    if f[x]:
        lp_len = (i-f[x])
        z = (l-i+1)//lp_len
        if z:
            ls = ans - a[f[x]-1]
            ans += ls * z
            i += z*lp_len

    if i < l:
        ans += x
    
    f[x] = i
    if i < lim:
        a[i] = ans

print(ans)

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

lim = 10**5*2+1

f = [0]*(lim)
a = [0]*(lim)

x = X
f[x] = 1
a[1] = x

ans = x

i = 1
l = N
while i < l:
    i += 1

    x **= 2
    x %= M
    if not x:
        break

    if f[x]:
        lp_len = (i-f[x])
        z = (l-i+1)//lp_len
        if z:
            ls = ans - a[f[x]-1]
            ans += ls * z
            i += z*lp_len

    if i <= l:
        ans += x
    
    f[x] = i
    if i < lim:
        a[i] = ans

print(ans)
Buggy code:
import sys
readline=sys.stdin.readline

N,X,M = map(int,readline().split())
route = [X]
dic = {}
first = []
loop = []
for i in range(1, N):
  X = (X ** 2) % M
  if X in dic:
    first = route[:dic[X]]
    loop = route[dic[X]:]
    break
  route.append(X)
  dic[X] = i

if N == len(first):
  print(sum(first))
elif N < len(first):
  print(sum(first[:N]))
else:
  ans = sum(first)
  one_loop = sum(loop)
  N -= len(first)
  loop_cnt = N // len(loop)
  rest = N % len(loop)
  ans += loop_cnt * (sum(loop))
  ans += sum(loop[:rest])

  print(ans)


Fixed code:
import sys
readline=sys.stdin.readline

N,X,M = map(int,readline().split())
route = [X]
dic = {}
first = []
loop = []
for i in range(1, N):
  X = (X ** 2) % M
  if X in dic:
    first = route[:dic[X]]
    loop = route[dic[X]:]
    break
  route.append(X)
  dic[X] = i
  
if len(first) == 0:
  print(sum(route[:N]))
  exit(0)

if N == len(first):
  print(sum(first))
elif N < len(first):
  print(sum(first[:N]))
else:
  ans = sum(first)
  one_loop = sum(loop)
  N -= len(first)
  loop_cnt = N // len(loop)
  rest = N % len(loop)
  ans += loop_cnt * (sum(loop))
  ans += sum(loop[:rest])

  print(ans)
Buggy code:
N, X, M = map(int, input().split())

A = X
i = 1
sigma = X
A_list = [None, X]
A_sigma = [None, X]
A_index = {X: 1}
cycled = False
while i < N:
    A = A*A % M
    i += 1

    if cycled or A not in A_index:
        sigma += A
        A_list.append(A)
        A_sigma.append(sigma)
        A_index[A] = i

    else:
        cycle_len = i - A_index[A]
        cycles = (N-i) // cycle_len
        sigma += (sigma - A_sigma[A_index[A]]) * cycles
        i += cycles * cycle_len
        cycled = True

print(sigma)


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

A = X
i = 1
sigma = X
A_list = [None, X]
A_sigma = [None, X]
A_index = {X: 1}
cycled = False
while i < N:
    A = A*A % M
    i += 1
    sigma += A

    if cycled: continue

    A_list.append(A)
    A_sigma.append(sigma)
    if A not in A_index:
        A_index[A] = i
    else:
        cycle_len = i - A_index[A]
        cycles = (N-i) // cycle_len
        sigma += (sigma - A_sigma[A_index[A]]) * cycles
        i += cycles * cycle_len
        cycled = True

print(sigma)
Buggy code:
# -*- coding: utf-8 -*-

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

A=[0]*M
A[0]=X
D=[0]*M

s=N
for i in range(1,N):
    a=A[i-1]**2%M
    if D[a] == 1:
        s=A.index(a)
        break
    else:
        A[i]=a
        D[a]=1

if s==N:
    ans=sum(A[:i])
else:
    A=A[:i]
    
    ans=0
    l=len(A)-s
    ans+=sum(A[:s])
    S=sum(A[s:])
    T=(N-s)//l
    ans+=T*S
    K=N-s-l*T
    ans+=sum(A[s:(s+K)])


print(ans)


Fixed code:
# -*- coding: utf-8 -*-

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

A=[0]*10**5
A[0]=X
D=dict()
#A=[X]
s=N
for i in range(1,N):
    a=A[i-1]**2%M
    if a in D:
        s=A.index(a)
        break
    else:
        #A.append(a)
        A[i]=a
        D[a]=0

if s==N:
    ans=sum(A)
else:
    A=A[:i]
    Z=[0]*(len(A)+1)
    for i in range(1,len(A)+1):
        Z[i]=Z[i-1]+A[i-1]  

    ans=0
    l=len(A)-s
    #ans+=sum(A[:s])
    ans+=Z[s]
    #S=sum(A[s:])
    S=Z[len(A)]-Z[s]
    T=(N-s)//l
    ans+=T*S
    K=N-s-l*T
    #ans+=sum(A[s:(s+K)])
    ans+=Z[s+K]-Z[s]


print(ans)
Buggy code:
# -*- coding: utf-8 -*-
"""
Created on Sat Sep 19 22:58:03 2020

@author: liang
"""

N,X,M=map(int,input().split())
a = X
hist = [a]
indices = [-1]*M
indices[a] = 0
flag=0
for i in range(1,min(10**6,N)):
  a = a**2 % M
  if indices[a] != -1:
    idx = indices[a]
    flag=1
    break
  hist.append(a)
  indices[a] = i
  
if flag==0:
  print(sum(hist))
  exit()
  
cycle = hist[idx:]
margin = hist[:idx]
q,r = divmod((N-len(margin)),len(cycle))
ans = 0
#ans += sum(margin)
#ans += sum(cycle)*q
#print(q,sum(cycle))
ans += sum(cycle[:r])
print(r)
print(cycle[:10])
print(ans)


Fixed code:
# -*- coding: utf-8 -*-
"""
Created on Sat Sep 19 22:58:03 2020

@author: liang
"""

N,X,M=map(int,input().split())
a = X
hist = [a]
indices = [-1]*M
indices[a] = 0
flag=0
for i in range(1,min(10**6,N)):
  a = a**2 % M
  if indices[a] != -1:
    idx = indices[a]
    flag=1
    break
  hist.append(a)
  indices[a] = i
  
if flag==0:
  print(sum(hist))
  exit()
  
cycle = hist[idx:]
margin = hist[:idx]
q,r = divmod((N-len(margin)),len(cycle))
ans = 0
ans += sum(margin)
ans += sum(cycle)*q
#print(q,sum(cycle))
ans += sum(cycle[:r])
#print(r)
#print(cycle[:10])
print(ans)
Buggy code:
N, X, M = map(int, input().split())

count = X
bef = X
_sum = [X]
dic = {X: 0}

for i in range(1, N + 1):
    bef = pow(bef, 2, M)
    if bef in dic:
        posi = dic[bef]
        l = len(_sum) - posi
        plus = _sum[-1] - _sum[posi]
        count += plus * ((N - i - 1) // l)
        mod = ((N - i - 1) % l)
        count += _sum[posi + mod] - _sum[posi]
        break
    else:
        dic.setdefault(bef, i)
        _sum.append(bef + _sum[-1])
    count += bef

print(count)

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

count = X
bef = X
_sum = [bef]
dic = {}

for i in range(1, N):
    bef = pow(bef, 2, M)
    if bef in dic:
        posi = dic[bef]
        l = len(_sum) - posi
        plus = sum(_sum[posi:])
        count += plus * ((N - i) // l)
        mod = ((N - i) % l)
        count += sum(_sum[posi:posi + mod])
        break
    else:
        dic.setdefault(bef, i)
        _sum.append(bef)
    count += bef

print(count)
Buggy code:
n,x,m=map(int,input().split())

lis=[0]*m

ans=x
ai=x
lis[ai]=[1,ans]
flg=0

for i in range(2,n+1):
    ai=(ai**2)%m
    if lis[ai]!=0:
        start=lis[ai][0]
        goal=i-1
        span=goal-start+1
        sumspan=ans-lis[ai][1]+ai
        flg=1
        if sumspan==1:
            ans-=1
        break
    ans+=ai
    lis[ai]=[i,ans]

if flg:
    times=(n-goal)//span
    last=(n-goal)%span
    ans+=sumspan*times
    print(last)
    #print(sumspan*times)
    ans+=ai
    for i in range(1,last):
        #print(i)
        ai=(ai**2)%m
        ans+=ai
    if last==1:
        ai=(ai**2)%m
        ans+=ai
    print(ans)
else:
    print(ans)

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

lis=[0]*m

ans=x
ai=x
lis[ai]=[1,ans]
flg=0

for i in range(2,n+1):
    ai=(ai**2)%m
    if lis[ai]!=0:
        start=lis[ai][0]
        goal=i-1
        span=goal-start+1
        sumspan=ans-lis[ai][1]+ai
        flg=1
        break
    ans+=ai
    lis[ai]=[i,ans]

if flg:
    times=(n-goal)//span
    last=(n-goal)%span
    ans+=sumspan*times
    #print(last)
    #print(sumspan*times)
    if last==1:
        ans+=ai
    for i in range(0,last-1):
        ans+=ai
        #print(i)
        ai=(ai**2)%m
        if i == last-2:
            ans+=ai
    print(ans)
else:
    print(ans)
Buggy code:
N,X,M = map(int, input().split())


A = [-1]*M
A[0] = X
i = 0
tmpans = 0
flag = False
check = [-1]*(M+1)
slice = -1
while i< N-1:
    newa = A[i]**2%M
    i+= 1
    if check[newa] != -1:
        flag = True
        slice = check[newa]
        break
    A[i] = newa
    check[newa] = i

if not flag:
    print(sum(A[:i+1]))

else:
    print(sum(A[:slice])+ sum(A[slice:i])*((N-slice)//(i-slice))+sum(A[slice:(N-slice)%(i-slice)]))


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


A = [-1]*(M+100)
A[0] = X
i = 0
tmpans = 0
flag = False
check = [-1]*(M+1)
slice = -1
while i< N-1:
    newa = A[i]**2%M
    i+= 1
    if check[newa] != -1:
        flag = True
        slice = check[newa]
        break
    A[i] = newa
    check[newa] = i

if not flag:
    print(sum(A[:i+1]))

else:
    print(sum(A[:slice])+ sum(A[slice:i])*((N-slice)//(i-slice))+sum(A[slice:slice + (N-slice)%(i-slice)]))
Buggy code:
import copy

n, x, m = map(int,input().split())

visited = [-1]*(m+1)
when = [-1]*(m+1)
ans = 0
i = 1
while i <= n:
    ans += x
    if x == 0:
        break
    if visited[x] > -1:
        cycle = (n - i) // (i - when[x])
        ans += cycle*(ans - visited[x])
        i += cycle*(i - when[x])
        visited = [-1]*(m+1)
        when = [-1]*(m+1)
        x **= 2
        x %= m    
        continue
    visited[x] = copy.deepcopy(ans)
    when[x] = copy.deepcopy(i)
    x **= 2
    x %= m
    i += 1


print(ans)

Fixed code:
import copy

n, x, m = map(int,input().split())

visited = [-1]*(m+1)
when = [-1]*(m+1)
ans = 0
i = 1
while i <= n:
    ans += x
    if x == 0:
        break
    if visited[x] > -1:
        cycle = (n - i) // (i - when[x])
        ans += cycle*(ans - visited[x])
        i += cycle*(i - when[x]) + 1
        visited = [-1]*(m+1)
        when = [-1]*(m+1)
        x **= 2
        x %= m    
        continue
    visited[x] = copy.deepcopy(ans)
    when[x] = copy.deepcopy(i)
    x **= 2
    x %= m
    i += 1


print(ans)
Buggy code:
N,X,M = map(int,input().split())

data = [X for i in range(M+1)]
val = set([X])

start = -1
period = -1
for i in range(1,M+1):
    data[i] = pow(data[i-1],2,M)
    if data[i] in val:
        for j in range(0,i):
            if data[j]==data[i]:
                start = j
                period = i-j
                break
    else:
        val.add(data[i])

if N<=M:
    print(sum(data[:N]))
else:
    res = sum(data[:start])

    backet = sum(data[start:start+period])
    Q = (N - start) // period
    R = (N- start) % period

    res += backet*Q + sum(data[start:start+R])
    print(res)

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

data = [X for i in range(M+1)]
val = set([X])

start = -1
period = -1
for i in range(1,M+1):
    data[i] = pow(data[i-1],2,M)
    if data[i] in val:
        for j in range(0,i):
            if data[j]==data[i]:
                start = j
                period = i-j
                break
        break
    else:
        val.add(data[i])

if N<=M:
    print(sum(data[:N]))
else:
    res = sum(data[:start])

    backet = sum(data[start:start+period])
    Q = (N - start) // period
    R = (N- start) % period

    res += backet*Q + sum(data[start:start+R])
    print(res)
Buggy code:
n,x,m=map(int, input().split())
a = x
ans = a
l=[a]

for i in range(1,n):
    tmp=(a*a)%m
    a=tmp  
    ans+=tmp
    if a in l:
        lp = l.index(a)
        break
    else:
        l.append(a)

l2 = l[lp:]
tmp = sum(l2)

b=int((n-len(l))/len(l2))
c=(n-len(l))%len(l2)

ans+=b*tmp+sum(l2[:c])
print(ans)

Fixed code:
n,x,m=map(int, input().split())
a=x
ans=a
flg=[0]*m
flg[a]=1
l=[a]
lp=-1

for i in range(1,m+1):   
    if n <= i:
        break
    tmp=(a*a)%m
    a=tmp
    if flg[a]==1:
        lp = l.index(a)
        break
    else:    
        ans+=tmp
        l.append(a)
        flg[a]=1

if lp != -1:
    l2 = l[lp:]
    tmp = sum(l2)
    b=(n-len(l))//len(l2)
    c=n-len(l)-b*len(l2)
    ans=ans+(b*tmp)+sum(l2[:c])

print(ans)