Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
n,k = map(int,input().split())
mod = 10**9 + 7

b = k
r = n - k

from operator import mul
from functools import reduce
def cmb(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

a = cmb(n,k)

for i in range(b):
    ans = cmb(r+1,i+1) * cmb(b-1,i)
    print(ans%mod)

Fixed submission:
n,k = map(int,input().split())
mod = 10**9 + 7

b = k
r = n - k

from operator import mul
from functools import reduce
def cmb(n,r):
    if n<r:
        return 0
    else:
        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

# a = cmb(n,k)
# print(a)

for i in range(b):
    ans = cmb(r+1,i+1) * cmb(b-1,i)
    print(ans%mod)
Buggy python submission (verdict: Runtime Error):
a,b,c,d = map(int, input().split())

nc = int(b/c) - int((a-1)/c)
# print(nc)

nd = int(b/d) - int((a-1)/d)
# print(nd)

import math 

def lcm(a,b):
    y = a*b/math.gcd(a,b)
    return int(y)

ncd = int(b/lcm(c,d)) - int((a-1)/lcm(c,d))
# print(ncd)

u = b - a + 1
# print(u)

ans = u - nc - nd + ncd

print(ans)

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

nc = (b//c) - ((a-1)//c)
# print(nc)

nd = (b//d) - ((a-1)//d)
# print(nd)

def gcd(a, b):
    if a < b:
        a,b = b,a
    while (a%b)!=0:
        a,b = b,a%b
    return b

def lcm(a, b):
    return (a*b)//gcd(a, b)

ncd = (b//lcm(c,d)) - ((a-1)//lcm(c,d))
# print(ncd)

u = b - a + 1
# print(u)

ans = u - nc - nd + ncd

print(ans)
Buggy python submission (verdict: Runtime Error):
from collections import deque
from heapq import heapify,heappop,heappush,heappushpop
from copy import copy,deepcopy
from itertools import product,permutations,combinations,combinations_with_replacement
from collections import defaultdict,Counter
from bisect import bisect_left,bisect_right
# from math import gcd,ceil,floor,factorial
# from fractions import gcd
from functools import reduce
from pprint import pprint

INF = float("inf")

def myinput():
    return map(int,input().split())

def mylistinput(n):
    return [ list(myinput()) for _ in range(n) ]

def mycol(data,col):
    return [ row[col] for row in data ]

def mysort(data,col,reverse_flag):
    data.sort(key=lambda x:x[col],reverse=reverse_flag)
    return data

def mymax(data):
    M = -1*float("inf")
    for i in range(len(data)):
        m = max(data[i])
        M = max(M,m)
    return M

def mymin(data):
    m = float("inf")
    for i in range(len(data)):
        M = min(data[i])
        m = min(m,M)
    return m

def mycount(ls,x):
    # lsはソート済みであること
    l = bisect_left(ls,x)
    r = bisect_right(ls,x)
    return (r-l)

def myoutput(ls,space=True):
    if space:
        if len(ls)==0:
            print(" ")
        elif type(ls[0])==str:
            print(" ".join(ls))
        elif type(ls[0])==int:
            print(" ".join(map(str,ls)))
        else:
            print("Output Error")
    else:
        if len(ls)==0:
            print("")
        elif type(ls[0])==str:
            print("".join(ls))
        elif type(ls[0])==int:
            print("".join(map(str,ls)))
        else:
            print("Output Error")

n,k = myinput()

ans = 0
import math
for i in range(n):
    m = i+1
    if m<k:
        x = math.ceil( math.log2(k/m) )
        ans += 1/n * ( (1/2)**x )
    else:
        ans += 1/n
print(ans)

Fixed submission:
n,k = map(int,input().split())
import math
s = 0
for i in range(n):
    if i>=k:
        s += (1/n)
    else:
        r  = int(math.ceil(math.log2(k/(i+1))))
        s += (1/n)*((1/2)**r)
print(s)
Buggy python submission (verdict: Time Limit Exceeded):
n,k = map(int,input().split())
h = list(map(int,input().split()))

dp = [0]*n
dp[0] = 0

for i in range(1,n):
    dp[i] = dp[i-1] + abs(h[i-1]-h[i])

    for j in range(2,k+1):
        if (i-j)>=0:
            dp[i] = min(dp[i], dp[i-j] + abs(h[i]-h[i-j]))

# print(dp)
print(dp[n-1])

Fixed submission:
n,k = map(int,input().split())
h = list(map(int,input().split()))

dp = [0]*n
dp[0] = 0

for i in range(1,n):
    dp[i] = dp[i-1] + abs(h[i-1]-h[i])

    for j in range(2,k+1):
        if (i-j)>=0:
            dp[i] = min(dp[i], dp[i-j] + abs(h[i]-h[i-j]))

# print(dp)
print(dp[n-1])
Buggy python submission (verdict: Time Limit Exceeded):
n,w = map(int,input().split())
wv = [ list(map(int,input().split())) for _ in range(n) ]

dp = [ [0]*(w+1) for _ in range(n) ]

for j in range(w+1):
    if (j-wv[0][0])>=0:
        dp[0][j] = wv[0][1]
    else:
        dp[0][j] = 0

for i in range(1,n):
    for j in range(w+1):
        if (j-wv[i][0])>=0:
            dp[i][j] = max(dp[i-1][j], dp[i-1][j-wv[i][0]]+wv[i][1])
        else:
            dp[i][j] = dp[i-1][j]

ans = dp[n-1][w]

print(ans)

Fixed submission:
n,w = map(int,input().split())
wv = [ list(map(int,input().split())) for _ in range(n) ]

dp = [ [0]*(w+1) for _ in range(n) ]

for j in range(w+1):
    if (j-wv[0][0])>=0:
        dp[0][j] = wv[0][1]
    else:
        dp[0][j] = 0

for i in range(1,n):
    for j in range(w+1):
        if (j-wv[i][0])>=0:
            dp[i][j] = max(dp[i-1][j], dp[i-1][j-wv[i][0]]+wv[i][1])
        else:
            dp[i][j] = dp[i-1][j]

ans = dp[n-1][w]

print(ans)
Buggy python submission (verdict: Runtime Error):
from collections import deque
from heapq import heapify,heappop,heappush,heappushpop
from copy import copy,deepcopy
from itertools import permutations,combinations
from collections import defaultdict,Counter
from math import gcd
from functools import reduce
from pprint import pprint

def myinput():
    return map(int,input().split())

def mylistinput(n):
    return [ list(myinput()) for _ in range(n) ]

def mycol(data,col):
    return [ row[col] for row in data ]

def mysort(data,col):
    data.sort(key=lambda x:x[col],reverse=False)
    return data

def mymax(data):
    M = -1*float("inf")
    for i in range(len(data)):
        m = max(data[i])
        M = max(M,m)
    return M

def mymin(data):
    m = float("inf")
    for i in range(len(data)):
        M = min(data[i])
        m = min(m,M)
    return m

n = int(input())
t = [ int(input()) for _ in range(n) ]
# print(t)

def lcm_base(x, y):
    return (x * y) // gcd(x, y)

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

ans = lcm_list(t)
print(ans)

Fixed submission:
from collections import deque
from heapq import heapify,heappop,heappush,heappushpop
from copy import copy,deepcopy
from itertools import permutations,combinations
from collections import defaultdict,Counter
# from math import gcd
from fractions import gcd
from functools import reduce
from pprint import pprint

def myinput():
    return map(int,input().split())

def mylistinput(n):
    return [ list(myinput()) for _ in range(n) ]

def mycol(data,col):
    return [ row[col] for row in data ]

def mysort(data,col):
    data.sort(key=lambda x:x[col],reverse=False)
    return data

def mymax(data):
    M = -1*float("inf")
    for i in range(len(data)):
        m = max(data[i])
        M = max(M,m)
    return M

def mymin(data):
    m = float("inf")
    for i in range(len(data)):
        M = min(data[i])
        m = min(m,M)
    return m

n = int(input())
t = [ int(input()) for _ in range(n) ]
# print(t)

def lcm_base(x, y):
    return (x * y) // gcd(x, y)

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

ans = lcm_list(t)
print(ans)
Buggy python submission (verdict: Runtime Error):
from collections import deque
from heapq import heapify,heappop,heappush,heappushpop
from copy import copy,deepcopy
from itertools import permutations,combinations
from collections import defaultdict,Counter
from math import gcd
# from fractions import gcd
from functools import reduce
from pprint import pprint

def myinput():
    return map(int,input().split())

def mylistinput(n):
    return [ list(myinput()) for _ in range(n) ]

def mycol(data,col):
    return [ row[col] for row in data ]

def mysort(data,col):
    data.sort(key=lambda x:x[col],reverse=False)
    return data

def mymax(data):
    M = -1*float("inf")
    for i in range(len(data)):
        m = max(data[i])
        M = max(M,m)
    return M

def mymin(data):
    m = float("inf")
    for i in range(len(data)):
        M = min(data[i])
        m = min(m,M)
    return m

n,x = myinput()
ans = (n-1)*3
print(ans)

Fixed submission:
from collections import deque
from heapq import heapify,heappop,heappush,heappushpop
from copy import copy,deepcopy
from itertools import permutations,combinations
from collections import defaultdict,Counter
# from math import gcd
# from fractions import gcd
from functools import reduce
from pprint import pprint

def myinput():
    return map(int,input().split())

def mylistinput(n):
    return [ list(myinput()) for _ in range(n) ]

def mycol(data,col):
    return [ row[col] for row in data ]

def mysort(data,col):
    data.sort(key=lambda x:x[col],reverse=False)
    return data

def mymax(data):
    M = -1*float("inf")
    for i in range(len(data)):
        m = max(data[i])
        M = max(M,m)
    return M

def mymin(data):
    m = float("inf")
    for i in range(len(data)):
        M = min(data[i])
        m = min(m,M)
    return m

n,x = myinput()

def mycalc(a,b):
    if b==0:
        return 0
    else:
        return ( (a//b) * 3 * b ) + mycalc(b,a%b)

ans = mycalc(n-x,x)
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
from functools import reduce
N = int(input())
mul = reduce(lambda x,y: x*y, map(int, input().split()))
res = mul if mul <= 10 ** 18 else -1
print(res)

Fixed submission:
from functools import reduce
N = int(input())
A = [*map(int, input().split())]

if 0 in A:
    print(0)
    exit()

mul = 1
for n in A:
    mul *= n
    if mul > 10 ** 18:
        print(-1)
        exit()
print(mul)
Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
N, K = list(map(int, input().split()))
A = np.array(list(map(int, input().split()))) - 1
mem = np.zeros((N, 2))

c = 0 # 現在の場所
cK = 0 # 現在の回数
flg = True
mem[c] += 1
mem[c][1] = 0
for k in range(1, K+1):
    c = A[c] # k回目の移動先
    mem[c][0] += 1
    if np.any(mem.T[0]>1):
        T = k - mem[c][1]
        cK = k
        flg = False
        break
    mem[c][1] = k

if flg:
    print(c+1)
else:
    iterN = int(np.mod(int(K - cK), int(T)))
    for i in range(iterN):
        c = A[c]
    print(c+1)

Fixed submission:
import numpy as np
N, K = list(map(int, input().split()))
A = np.array(list(map(int, input().split()))) - 1
mem = {}

c = 0 # 現在の場所
cK = 0 # 現在の回数
flg = True
mem[c] = 0
for k in range(1, K+1):
    c = A[c] # k回目の移動先
    if c in mem:
        T = k - mem[c]
        cK = k
        flg = False
        break
    mem[c] = k

if flg:
    print(c+1)
else:
    iterN = int(np.mod(int(K - cK), int(T)))
    for i in range(iterN):
        c = A[c]
    print(c+1)
Buggy python submission (verdict: Time Limit Exceeded):
import math
X = int(input())
a = math.ceil(X**(1/5))
c = 0
N = int(1e10)
while c <= N:
    c += 1
    b = math.floor((a**5-X)**(1/5))
    if a**5 - b**5 == X:
        print(a, b)
        break
    a += 1

Fixed submission:
import math
X = int(input())
a1 = math.ceil(X**(1/5))
N = int(1e10)
c = 0
b = 0
while c <= N:
    if b**5 < -X:
        b2 = b + 1
        break
    b -= 1
c = 0
while c <= N:
    c += 1
    b1 = math.floor((a1**5-X)**(1/5))
    a2 = math.floor((X+b2**5)**(1/5))
    if a1**5 - b1**5 == X:
        print(a1, b1)
        break
    elif a2**5 - b2**5 == X:
        print(a2, b2)
        break
    a1 += 1
    b2 += 1
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
ret = []
for i in range(N):
    s = input()
    if s not in ret:
        ret.append(s)
print(len(ret))

Fixed submission:
N = int(input())
ret = {}
for i in range(N):
    ret[input()] = 0
print(len(ret.keys()))
Buggy python submission (verdict: Runtime Error):
N = int(input())
A = list(map(int, input().split(' ')))
B = list(map(int, input().split(' ')))
C = list(map(int, input().split(' ')))
m = 0
pre = -1
for a in A:
    m += B[a-1]
    if a - pre == 1
        m += C[pre-1]
    pre = a
print(m)

Fixed submission:
N = int(input())
A = list(map(int, input().split(' ')))
B = list(map(int, input().split(' ')))
C = list(map(int, input().split(' ')))
m = 0
pre = -1
for a in A:
    m += B[a-1]
    if a - pre == 1:
        m += C[pre-1]
    pre = a
print(m)
Buggy python submission (verdict: Runtime Error):
key_no = input()
ret = 'Good'
for i in range(len(key_no)-1):
  if key_no[i] == key_no[i+1]:
    ret = 'Bad'
  	break
print(ret)

Fixed submission:
key_no = input()
ret = 'Good'
for i in range(len(key_no)-1):
  if key_no[i] == key_no[i+1]:
    ret = 'Bad'
    break  
print(ret)
Buggy python submission (verdict: Runtime Error):
import pandas as pd
N = int(input())
sps = []
for i in range(1, N+1):
    s, p = input().split(' ')
    sps.append({'i': i, 's': s, 'p': int(p)})
ret = pd.DataFrame(sps).sort_values(['s', 'p'], ascending=[True, False]).values.tolist()
for i in range(N):
    print(ret[i][0])

Fixed submission:
N = int(input())  
sps = []
ss = []
for i in range(1, N+1):
    s, p = input().split(' ')
    sps.append([i, s, int(p)])
    if s not in ss:
        ss.append(s)

sps = sorted(sps, key=lambda x: x[2], reverse=True)
ss = sorted(ss)
ret = []
for s in ss:
    t = [tmp for tmp in sps if tmp[1]==s]
    ret.extend(t)

for i in range(N):
    print(ret[i][0])

Buggy python submission (verdict: Runtime Error):
import pandas as pd
N = int(input())
sps = []
for i in range(1, N+1):
    s, p = input().split(' ')
    sps.append({'i': i, 's': s, 'p': p})
ret = pd.DataFrame(sps).sort_values(['s', 'p'], ascending=[True, False]).values.tolist()
for i in range(N):
    print(ret[i][0])

Fixed submission:
N = int(input())  
sps = []
ss = []
for i in range(1, N+1):
    s, p = input().split(' ')
    sps.append([i, s, int(p)])
    if s not in ss:
        ss.append(s)

sps = sorted(sps, key=lambda x: x[2], reverse=True)
ss = sorted(ss)
ret = []
for s in ss:
    t = [tmp for tmp in sps if tmp[1]==s]
    ret.extend(t)

for i in range(N):
    print(ret[i][0])
Buggy python submission (verdict: Runtime Error):
N, M = map(int, input().split(' '))

data = []
l = 1
r = 10**5
for m in range(M):
    li, ri = map(int, input().split(' '))
    if li > l:
      l = li
    if ri < r:
      r = ri

if l<= N <= r:
  cnt = (N - l) + 1
elif r >= N:
  cnt = (r - l) + 1
else N < l:
  cnt = 0
  

Fixed submission:
N, M = map(int, input().split(' '))
 
data = []
l = 1
r = 10**5
for m in range(M):
    li, ri = map(int, input().split(' '))
    if li > l:
      l = li
    if ri < r:
      r = ri
 
if l<= N <= r:
  cnt = (N - l) + 1
elif l > r:
  cnt = 0
elif r < N:
  cnt = (r - l) + 1
else:
  cnt = 0
 
print(cnt)

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np

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

data = []
for m in range(M):
    data.append(list(map(int, input().split(' '))))

npdata = np.array(data)

cnt = 0
for n in range(1, N+1):
  if M == len(npdata[(npdata[:,0]<=n)&(n<=npdata[:,1])]):
  	cnt += 1
print(cnt)

Fixed submission:
N, M = map(int, input().split(' '))
 
data = []
l = 1
r = 10**5
for m in range(M):
    li, ri = map(int, input().split(' '))
    if li > l:
      l = li
    if ri < r:
      r = ri
 
if l<= N <= r:
  cnt = (N - l) + 1
elif l > r:
  cnt = 0
elif r < N:
  cnt = (r - l) + 1
else:
  cnt = 0
 
print(cnt)

Buggy python submission (verdict: Time Limit Exceeded):
N, M = map(int, input().split(' '))

data = []
for m in range(M):
    data.append(list(map(int, input().split(' '))))

cnt = 0
for n in range(1, N+1):
    flg = True
    for m in range(M):
        li, ri = data[m]
        if not(li <= n <= ri):
            flg = False
    if flg:
        cnt += 1
print(cnt)

Fixed submission:
N, M = map(int, input().split(' '))
 
data = []
l = 1
r = 10**5
for m in range(M):
    li, ri = map(int, input().split(' '))
    if li > l:
      l = li
    if ri < r:
      r = ri
 
if l<= N <= r:
  cnt = (N - l) + 1
elif l > r:
  cnt = 0
elif r < N:
  cnt = (r - l) + 1
else:
  cnt = 0
 
print(cnt)

Buggy python submission (verdict: Time Limit Exceeded):
N, M = map(int, input().split(' '))

data = []
for m in range(M):
    data.append(list(map(int, input().split(' '))))

cnt = 0
for n in range(1, N+1):
    flg = 0
    for m in range(M):
        li, ri = data[m]
        if li <= n <= ri:
            flg += 1
    if flg == M:
        cnt += 1
print(cnt)

Fixed submission:
N, M = map(int, input().split(' '))
 
data = []
l = 1
r = 10**5
for m in range(M):
    li, ri = map(int, input().split(' '))
    if li > l:
      l = li
    if ri < r:
      r = ri
 
if l<= N <= r:
  cnt = (N - l) + 1
elif l > r:
  cnt = 0
elif r < N:
  cnt = (r - l) + 1
else:
  cnt = 0
 
print(cnt)
Buggy python submission (verdict: Time Limit Exceeded):
# python3
# -*- coding: utf-8 -*-
import sys
import math
import bisect
from fractions import gcd
from itertools import count, permutations
from functools import lru_cache
from collections import deque, defaultdict
from pprint import pprint

INF = float('inf')

ii = lambda: int(input())
mis = lambda: map(int, input().split())
lmis = lambda: list(mis())
lmtx = lambda h: [list(map(int, lmis())) for _ in range(h)]
sys.setrecursionlimit(1000000000)


def lcm(a, b):
    return (a * b) // gcd(a, b)


# main
n = ii()
alist = lmis()

sum = 0
for i in range(n-1):
    for j in range(i+1, n):
        sum += alist[i] * alist[j]

print(sum % 1000000007)


Fixed submission:
# python3
# -*- coding: utf-8 -*-
import sys
import math
import bisect
from fractions import gcd
from itertools import count, permutations
from functools import lru_cache
from collections import deque, defaultdict
from pprint import pprint

INF = float('inf')

ii = lambda: int(input())
mis = lambda: map(int, input().split())
lmis = lambda: list(mis())
lmtx = lambda h: [list(map(int, lmis())) for _ in range(h)]
sys.setrecursionlimit(1000000000)


def lcm(a, b):
    return (a * b) // gcd(a, b)


# main
n = ii()
alist = lmis()

asum = sum(alist[1:n])

sum = 0
for i in range(n-1):
    sum += alist[i] * asum
    asum -= alist[i+1]

print(sum % 1000000007)
Buggy python submission (verdict: Time Limit Exceeded):
# python3
# -*- coding: utf-8 -*-
import sys
import math
import bisect
from fractions import gcd
from itertools import count, permutations
from functools import lru_cache
from collections import deque, defaultdict
from pprint import pprint

INF = float('inf')

ii = lambda: int(input())
mis = lambda: map(int, input().split())
lmis = lambda: list(mis())
lmtx = lambda h: [list(map(int, lmis())) for _ in range(h)]
sys.setrecursionlimit(1000000000)


def lcm(a, b):
    return (a * b) // gcd(a, b)


# main
n = ii()
alist = lmis()

for i in range(1, n+1):
    print(str(alist.count(i)))


Fixed submission:
# python3
# -*- coding: utf-8 -*-
import sys
import math
import bisect
from fractions import gcd
from itertools import count, permutations
from functools import lru_cache
from collections import deque, defaultdict
from pprint import pprint

INF = float('inf')

ii = lambda: int(input())
mis = lambda: map(int, input().split())
lmis = lambda: list(mis())
lmtx = lambda h: [list(map(int, lmis())) for _ in range(h)]
sys.setrecursionlimit(1000000000)


def lcm(a, b):
    return (a * b) // gcd(a, b)


# main
n = ii()
alist = lmis()

jlist = [0] * (n+1)

for i in range(n-1):
    jlist[alist[i]] += 1

for j in jlist[1:]:
    print(j)
Buggy python submission (verdict: Runtime Error):
# python3
# -*- coding: utf-8 -*-
import sys
import math
from math import gcd
from itertools import count, permutations
from functools import lru_cache
from collections import deque, defaultdict
from pprint import pprint

INF = float('inf')

ii = lambda: int(input())
mis = lambda: map(int, input().split())
lmis = lambda: list(mis())
sys.setrecursionlimit(1000000000)


def lcm(a, b):
    return (a * b) // gcd(a, b)


# main
S, T = input().split()
A, B = mis()
U = input()

if U == S:
    print(str(A-1) + " " + str(B))
else:
    print(str(A) + " " + str(B-1))


Fixed submission:
# python3
# -*- coding: utf-8 -*-
import sys
import math
#from math import gcd
from itertools import count, permutations
from functools import lru_cache
from collections import deque, defaultdict
from pprint import pprint

INF = float('inf')

ii = lambda: int(input())
mis = lambda: map(int, input().split())
lmis = lambda: list(mis())
sys.setrecursionlimit(1000000000)


def lcm(a, b):
    return (a * b) // gcd(a, b)


# main
S, T = input().split()
A, B = mis()
U = input()

if U == S:
    print(str(A-1) + " " + str(B))
else:
    print(str(A) + " " + str(B-1))
Buggy python submission (verdict: Time Limit Exceeded):
n,k = map(int,input().split())
A = list(map(int,input().split()))

pre = 1
for i in range(k):
    pre*=A[i]

for j in range(n-k):
    tmp = pre//A[j]*A[j+k]
    if pre<tmp:
        print('Yes')
    else:
        print('No')
    pre=tmp




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

for i in range(n-k):
    if A[i]<A[i+k]:
        print('Yes')
    else:
        print('No')

Buggy python submission (verdict: Time Limit Exceeded):
n,k = map(int,input().split())
A = list(map(int,input().split()))

pre = 0
for i in range(n-k+1):
    tmp = 1
    for j in range(k):
        tmp*=A[i+j]
    if i>0:
        if pre<tmp:
            print('Yes')
        else:
            print('No')
    pre = tmp



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

for i in range(n-k):
    if A[i]<A[i+k]:
        print('Yes')
    else:
        print('No')
Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np

def solve(stdin):
    n = stdin[0]
    dp = np.zeros(n+1,dtype=np.int64)
    for i in range(1,n+1):
        for j in range(i,n+1,i):
            dp[j]+=1
    dp*=np.arange(n+1)
    return dp.sum()

def main():
    stdin = np.fromstring(open(0).read(), dtype=np.int64, sep=' ')
    print(solve(stdin))

def cc_export():
    from numba.pycc import CC
    cc = CC('my_module')
    cc.export('solve', '(i8[:],)')(solve)
    cc.compile()

if __name__ == '__main__':
    import sys
    if sys.argv[-1] == 'ONLINE_JUDGE':
        cc_export()
        exit(0)
    #from my_module import solve
    main()

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

Buggy python submission (verdict: Runtime Error):
import numpy as np
from numba import jit


@jit
def main(n):
    dp = np.zeros(n+1,np.int64)
    #dp[1]=1
    for i in range(1,n+1):
        for j in range(i,n+1,i):
            dp[j]+=1
    dp*=np.arange(n+1)
    return dp.sum()

n = int(input())
print(main(n))

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

Buggy python submission (verdict: Runtime Error):
import numpy as np
n = int(input())

dp = np.zeros(n+1,np.int64)
#dp[1]=1
for i in range(1,n+1):
    for j in range(i,n+1,i):
        dp[j]+=1
dp*=np.arange(n+1)
print(dp.sum())


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

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
n = int(input())

dp = np.zeros(n+1,np.int64)
#dp[1]=1
for i in range(1,n+1):
    for j in range(i,n+1,i):
        dp[j]+=1
dp*=np.arange(n+1)
print(dp.sum())


Fixed submission:
n = int(input())
ans = 0
for i in range(1,n+1):
    ans+=n//i*(n//i+1)//2*i
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
A = list(map(int,input().split()))

ans = []
for i in range(n):
    tmp = 0
    for j in range(n):
        if i==j:
            continue
        tmp=A[j]^tmp
    ans.append(tmp)
print(' '.join(map(str,ans)))

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

xor_sum = 0
for i in range(n):
    xor_sum = xor_sum^A[i]

ans = []
for i in range(n):
    ans.append(xor_sum^A[i])
print(' '.join(map(str,ans)))