Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
import math

a, b = map(str, input().split())

n = int(a+b)
sq = np.sqrt(n)
if sq == int(sq):
    print('Yes')
else:
    print('No')


Fixed submission:
import numpy as np

# a = '1'; b = '21'
a, b = map(str, input().split())

n = int(a+b)
sq = np.sqrt(n)
if sq == int(sq):
    print('Yes')
else:
    print('No')

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

a, b = map(str, input().split())

n = int(a+b)
sq = np.aqrt(n)
if sq == int(sq):
    print('Yes')
else:
    print('No')


Fixed submission:
import numpy as np

# a = '1'; b = '21'
a, b = map(str, input().split())

n = int(a+b)
sq = np.sqrt(n)
if sq == int(sq):
    print('Yes')
else:
    print('No')
Buggy python submission (verdict: Runtime Error):
n, y = map(int, input().split())

# n, y = 1000, 1234000

flg = False
for i in range(y//10000 + 1):
    for j in range(n-i+1):
        k = n - i - j
        if i*10000+j*5000+k*1000 == y:
            print(i, j, k)
            return
print('-1 -1 -1')


Fixed submission:
import sys

n, y = map(int, input().split())

# n, y = 1000, 1234000

flg = False
for i in range(y//10000 + 1):
    for j in range(n-i+1):
        k = n - i - j
        if i*10000+j*5000+k*1000 == y:
            print(i, j, k)
            sys.exit(0)
print('-1 -1 -1')

Buggy python submission (verdict: Runtime Error):
n, y = map(int, input().split())

# n, y = 1000, 1234000

flg = False
for i in range(y//10000 + 1):
    if flg:
        break
    for j in range(n-i):
        k = n - i - j
        if i*10000+j*5000+k*1000 == y:
            flg = True
            break
if flg:
    print(f'{i} {j} {k}')
else:
    print('-1 -1 -1')

Fixed submission:
import sys

n, y = map(int, input().split())

# n, y = 1000, 1234000

flg = False
for i in range(y//10000 + 1):
    for j in range(n-i+1):
        k = n - i - j
        if i*10000+j*5000+k*1000 == y:
            print(i, j, k)
            sys.exit(0)
print('-1 -1 -1')

Buggy python submission (verdict: Runtime Error):
n, y = map(int, input().split())

# n, y = 1000, 1234000

flg = False
for i in range(y//10000 + 1):
    diff_1 = y - i*10000
    for j in range(diff//5000 + 1):
        diff_2 = diff_1 - j*5000
        for k in range(diff//1000 + 1):
            diff_3 = diff_2 - k*1000
            if diff_3 == 0 and i+j+k <= n:
                flg = True
                break
if flg:
    print(i, j, k)
else:
    print(-1, -1, -1)

Fixed submission:
import sys

n, y = map(int, input().split())

# n, y = 1000, 1234000

flg = False
for i in range(y//10000 + 1):
    for j in range(n-i+1):
        k = n - i - j
        if i*10000+j*5000+k*1000 == y:
            print(i, j, k)
            sys.exit(0)
print('-1 -1 -1')
Buggy python submission (verdict: Runtime Error):
n, a, b = map(int, input().split())

ans = []
for i in range(1,n+1):
    # i = 12
    num = 0
    while i != 0:
        num +=i%10
        i = i//10
    if a <= num <= b:
        ans.append(i)
print(ans.sum())

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

ans = []
for i in range(1,n+1):
    num = 0
    for j in str(i):
        num += int(j)
    if a <= num <= b:
        ans.append(i)
print(sum(ans))
Buggy python submission (verdict: Time Limit Exceeded):
S = input()

# S = 'dreamerer'

words = ['dream', 'dreamer', 'erase', 'eraser']

flag = False
while True:
    for word in words:
        # word=words[0]
        length = len(word)
        if S[-length:] == word:
            S = S[:len(S) - length]
            flag = True
            break
    if flag:
        if S == '':
            print('YES')
            break
        else:
            continue
    else:
        print('NO')
        break


Fixed submission:
S = input()

# S = 'dreameraser'

words = ['dream', 'dreamer', 'erase', 'eraser']

while True:
    flag = False

    for word in words:
        # word=words[3]
        length = len(word)
        if S[-length:] == word:
            S = S[:len(S) - length]
            flag = True
            break

    if flag:
        if S == '':
            print('YES')
            break
        else:
            continue
    else:
        print('NO')
        break

Buggy python submission (verdict: Time Limit Exceeded):
S = input()

# S = 'erasedream'

words = ['dream', 'dreamer', 'erase', 'eraser']

flag = False
while True:
    for word in words:
        # word=words[0]
        length = len(word)
        if S[-length:] == word:
            S = S[:len(S)-length]
            flag = True
            break
    if flag:
        if S == '':
            print('YES')
            break
        else:
            continue
    else:
        print('NO')
        break


Fixed submission:
S = input()

# S = 'dreameraser'

words = ['dream', 'dreamer', 'erase', 'eraser']

while True:
    flag = False

    for word in words:
        # word=words[3]
        length = len(word)
        if S[-length:] == word:
            S = S[:len(S) - length]
            flag = True
            break

    if flag:
        if S == '':
            print('YES')
            break
        else:
            continue
    else:
        print('NO')
        break
Buggy python submission (verdict: Runtime Error):
S, T = input().split("\n")

cnt = []
for i in range(len(S)-len(T)+1):
	mismatch = 0
	for j in range(len(T)):
		if S[i+j] != T[j]:
			mismatch += 1
	cnt.append(mismatch)
	
print(min(cnt))

			

Fixed submission:
S = input()
T = input()
  
cnt = []
for i in range(len(S)-len(T)+1):
	mismatch = 0
	for j in range(len(T)):
		if S[i+j] != T[j]:
			mismatch += 1
	cnt.append(mismatch)
	
print(min(cnt))

Buggy python submission (verdict: Runtime Error):
S, T = input().split("\n")

cnt = []
for i in range(len(S)-len(T)+1):
	
	mismatch = 0
	for j in range(len(T)):
		if S[i+j] != T[j]:
			mismatch += 1
	cnt.append(mismatch)
	
print(min(cnt))

			


Fixed submission:
S = input()
T = input()
  
cnt = []
for i in range(len(S)-len(T)+1):
	mismatch = 0
	for j in range(len(T)):
		if S[i+j] != T[j]:
			mismatch += 1
	cnt.append(mismatch)
	
print(min(cnt))

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

cnt = 0
for i in range(len(S)-len(T)+1):
	if S[i] == T[0]:
		for j in 1 <= j <= len(T)+1:
			if S[i+j] != T[j]:
				cnt += 1

print(cnt)

			

Fixed submission:
S = input()
T = input()
  
cnt = []
for i in range(len(S)-len(T)+1):
	mismatch = 0
	for j in range(len(T)):
		if S[i+j] != T[j]:
			mismatch += 1
	cnt.append(mismatch)
	
print(min(cnt))
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int, input().split()))


ans = 0
mod = 7 + 10**9

for i in A:
	i %= mod

for j in range(N-1): 
	for	k in range(j+1, N):
		t = A[j] * A[k] 
		ans += t

ans %= mod
print(ans)

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

ans = 0
mod = 7 + 10**9

s = sum(A)
for i in range(N):
	s -= A[i]
	ans += s * A[i]
	ans %= mod

print(ans)

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

mod = 7 + 10**9
for i in A:
	A[i] %= mod
for j in range(N-1): 
	for	k in range(j+1, N):
		t = A[j] * A[k] 
		ans += t

ans %= mod
print(ans)

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

ans = 0
mod = 7 + 10**9

s = sum(A)
for i in range(N):
	s -= A[i]
	ans += s * A[i]
	ans %= mod

print(ans)

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

mod = 7 + 10**9
s = 0

for i in range(N-1): 
	for	j in range(i+1, N):
		t = A[i] * A[j] % mod
		s += t

ans = s % mod
print(ans)

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

ans = 0
mod = 7 + 10**9

s = sum(A)
for i in range(N):
	s -= A[i]
	ans += s * A[i]
	ans %= mod

print(ans)

Buggy python submission (verdict: Runtime Error):
#N = int(input())
#A = list(map(int, input().split()))
n, a = input().split("\n")
N = int(n)
A = list(map(int, a.split()))

mod = 7 + 10**9
s = 0

for i in range(N-1): 
	for	j in range(i+1, N):
		t = A[i] * A[j] % mod
		s += t

ans = s % mod
print(ans)

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

ans = 0
mod = 7 + 10**9

s = sum(A)
for i in range(N):
	s -= A[i]
	ans += s * A[i]
	ans %= mod

print(ans)

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

mod = 7 + 10**9
s = 0
for i in range(N-1): 
	for	j in range(i+1, N):
		t = A[i] * A[j] 
		s += t
        
ans = s % mod
print(ans)

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

ans = 0
mod = 7 + 10**9

s = sum(A)
for i in range(N):
	s -= A[i]
	ans += s * A[i]
	ans %= mod

print(ans)

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

for i in range(N-1): 
	for	j in range(i+1, N):
		t = A[i]*A[j] % (10**9+7)
		sum = sum(t)

print(sum)

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

ans = 0
mod = 7 + 10**9

s = sum(A)
for i in range(N):
	s -= A[i]
	ans += s * A[i]
	ans %= mod

print(ans)

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

for i in range(N-1) and j in range(i+1, N):
	t = A[i]*A[j] % (10**9+7)
	sum = sum(t)

print(sum)

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

ans = 0
mod = 7 + 10**9

s = sum(A)
for i in range(N):
	s -= A[i]
	ans += s * A[i]
	ans %= mod

print(ans)
Buggy python submission (verdict: Runtime Error):
h,a = map(int,input().split())

ans=h//a
if(h%a!=0):
    ans++
print(ans)


Fixed submission:
h,a = map(int,input().split())

ans=h//a
if(h%a!=0):
    ans+=1
print(ans)
Buggy python submission (verdict: Runtime Error):
n=int(input())
m=int(input())

if m>=n:
    print('Yes\n')
else:
    print('No\n')
    

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

if m>=n:
    print('Yes\n')
else:
    print('No\n')

Buggy python submission (verdict: Runtime Error):
n=input()
m=input()

if m>=n:
    print('Yes\n')
else:
    print('No\n')
    

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

if m>=n:
    print('Yes\n')
else:
    print('No\n')
Buggy python submission (verdict: Runtime Error):
n=int(input())
A=list(map(int,input()))

c=0
while all(a%2==0 for a in A):
    A=[a/2 for a in A]
    c+=1
print(c)


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

c=0
while all(a%2==0 for a in A):
    A=[a/2 for a in A]
    c+=1
print(c)
Buggy python submission (verdict: Runtime Error):
N = int(input())
A = input()
a = A.split()
sum = 1
if "0" in a :
    print(0)
else:
    for i in range(N):
        sum *= int(a[i])
        if sum > 10**18:
            print(-1)
            flag = 1
            break
    if flag == 0:
        print(sum)


Fixed submission:
N = int(input())
A = input()
a = A.split()
s = 1
flag = 0
if "0" in a:
    print(0)
else:
    for i in range(N):
        s *= int(a[i])
        if s > 10**18:
            print(-1)
            flag = 1
            break
    if flag == 0:
        print(s)

Buggy python submission (verdict: Runtime Error):
N = int(input())
A = input()
a = A.split()
sum = 1
for i in range(N):
    sum *= int(a[i])
    if sum > 10**18:
        print(-1)
        flag = 1
        break
if flag == 0:
    print(sum)

Fixed submission:
N = int(input())
A = input()
a = A.split()
s = 1
flag = 0
if "0" in a:
    print(0)
else:
    for i in range(N):
        s *= int(a[i])
        if s > 10**18:
            print(-1)
            flag = 1
            break
    if flag == 0:
        print(s)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = input()
a = A.split()
sum = 1
for i in range(N):
    sum *= int(a[i])
if sum > 10**18:
    print(-1)
else:
    print(sum)

Fixed submission:
N = int(input())
A = input()
a = A.split()
s = 1
flag = 0
if "0" in a:
    print(0)
else:
    for i in range(N):
        s *= int(a[i])
        if s > 10**18:
            print(-1)
            flag = 1
            break
    if flag == 0:
        print(s)
Buggy python submission (verdict: Runtime Error):
import numpy as np


D = int(input())
c = np.array(list( map(int,input().split())))
S = np.zeros((D,26))
for i in range(D):
    S[i] = np.array(list( map(int,input().split())))

T = np.array([])
for i in range(D):
    T = np.append(T,int(input()))

"""
D = 365
c = np.random.randint(0,100,size=(26))
S = np.random.randint(0,20000,size=(D,26))
"""

def calc_score(T,D,c,S):
    last = np.ones(26) * (-1)
    scores = []
    score = 0
    for d in range(D):
        i = int(T[d])
        score += S[d,i]
        last[i] = d
        score -= np.sum(c*(d-last))
        scores.append(max([10**6+score,0]))
    score = max([10**6+score,0])
    return score,scores

_,ans = calc_score(T,D,c,S)
for a in ans:
    print(int(a))

Fixed submission:
import numpy as np


D = int(input())
c = np.array(list( map(int,input().split())))
S = np.zeros((D,26))
for i in range(D):
    S[i] = np.array(list( map(int,input().split())))

T = np.array([])
for i in range(D):
    T = np.append(T,int(input()))

"""
D = 365
c = np.random.randint(0,100,size=(26))
S = np.random.randint(0,20000,size=(D,26))
"""

def calc_score(T,D,c,S):
    last = np.ones(26) * (-1)
    scores = []
    score = 0
    for d in range(D):
        i = int(T[d])-1
        score += S[d,i]
        last[i] = d
        score -= np.sum(c*(d-last))
        scores.append(score)
    score = max([10**6+score,0])
    return score,scores

_,ans = calc_score(T,D,c,S)
for a in ans:
    print(int(a))
Buggy python submission (verdict: Time Limit Exceeded):
N,M = map(int,input().split())
H = list(map(int,input().split()))
road = []
for i in range(M):
    road.append(list(map(int,input().split())))

def judge(i):
    for r in road:
        pair = 0
        if r[0]==i:
            pair = r[1]
        if r[1]==i:
            pair = r[0]
        if pair !=0 and H[i-1] <= H[pair-1]:
            return 0
    return 1

s = 0
for i in range(1,N+1):
    s += judge(i)

print(s)

Fixed submission:
N,M = map(int,input().split())
H = list(map(int,input().split()))
road = []
for i in range(M):
    road.append(list(map(int,input().split())))

judge = [1]*N

for r in road:
    h1 = H[r[0]-1]
    h2 = H[r[1]-1]
    if h1 < h2:
        judge[r[0]-1] = 0
    if h1 == h2:
        judge[r[0]-1] = judge[r[1]-1] = 0
    if h1 > h2:
        judge[r[1]-1] = 0

print(sum(judge))
Buggy python submission (verdict: Runtime Error):
X = int(input())

y = int((X**0.2)//1 + 1)

def array(y):
    a = [0]
    for i in range(1,y+1):
        a.append(i**5)
        a.append(-i**5)
    a.sort()
    return a

a = array(y)

N = len(a)
for i in range(N-1):
    for j in range(i+1,N):
        if a[j] - a[i] == X:
            A,B = -y+j, -y+i

print(A,B)

Fixed submission:
X = int(input())

y = int((X**0.2) //1 + 1)

def array(y):
    a = [0]
    for i in range(1,y+1):
        a.append(i**5)
        a.append(-i**5)
    a.sort()
    return a

y = y*2
a = array(y)

N = len(a)
for i in range(N-1):
    for j in range(i+1,N):
        if a[j] - a[i] == X:
            A,B = -y+j, -y+i

print(A,B)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int,input().split()))

for i in range(1,N+1):
    print(A.count(i))


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

ans = [0] * N

for i in range(N-1):
    ans[A[i] -1] += 1

for i in range(N):
    print(ans[i])
Buggy python submission (verdict: Time Limit Exceeded):
a= list(map(int,input().split()))
N = a[0]
K = a[1]

a = [0]*K

for i in range(K):
    x = K-i-1
    a[x] = (K//(x+1))**N

    t = 2
    while t*(x+1)<=K:
        a[x] = a[x] - a[t*(x+1)-1]
        t = t+1

s = 0
for i in range(K):
    s = s + (i+1)*a[i]

ans = s%(10**9+7)

print(ans)

Fixed submission:
a= list(map(int,input().split()))
N = a[0]
K = a[1]

a = [0]*K
mod = 10**9+7

for x in range(K,0,-1):
    a[x-1] = pow(K//x, N,mod)
    for t in range(2,K//x+1):
        a[x-1] -= a[t*x-1]

s = 0
for i in range(K):
    s += (i+1)*a[i]

ans = s%mod

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
a = [""]*N

text = input()
k = 0
for x in text:
    if x == " ":
        k = k+1
    else:
        a[k] = a[k]+x

for i in range(N):
    a[i] = int(a[i])

def output(a):
    for i in range(N-1):
        for j in range(i+1,N):
            if a[i] == a[j]:
                return "NO"
    return "YES"

print(output(a))
        

Fixed submission:
N = int(input())
a = [""]*N

text = input()
k = 0
for x in text:
    if x == " ":
        k = k+1
    else:
        a[k] = a[k]+x

dic ={}
def judge():
    for i in range(N):
        if (a[i] in dic.keys())==True:
            return "NO"
        else:
            dic[a[i]] = 1
    return "YES"

print(judge())
Buggy python submission (verdict: Time Limit Exceeded):
def get(text,n):
    ans = [""]*n
    i = 0
    for x in text:
        if x==" ":
            i = i + 1
        ans[i] = ans[i]+x
    return ans

nk = input()
textp = input()

N = int(get(nk,2)[0])
K = int(get(nk,2)[1])
ps = get(textp,N)
for i in range(N):
    ps[i] = int(ps[i])

exp = [0] * N
for i in range(N):
    exp[i] = (ps[i]+1)/2

m = 0
for i in range(N-K+1):
    s = 0
    for j in range(K):
        s = s + exp[i+j]
    if m < s:
        m = s

print(m)

Fixed submission:
def get(text,n):
    ans = [""]*n
    i = 0
    for x in text:
        if x==" ":
            i = i + 1
        ans[i] = ans[i]+x
    return ans

nk = input()
textp = input()

N = int(get(nk,2)[0])
K = int(get(nk,2)[1])
ps = get(textp,N)
for i in range(N):
    ps[i] = int(ps[i])

exp = [0] * N
for i in range(N):
    exp[i] = (ps[i]+1)/2

s = 0
for j in range(K):
    s = s + exp[j]
m = s
for i in range(N-K):
    s = s - exp[i] + exp[i+K]
    if m < s:
        m = s

print(m)
Buggy python submission (verdict: Runtime Error):
def get(text,n):
    ans = [""]*n
    i = 0
    for x in text:
        if x==" ":
            i = i + 1
        ans[i] = ans[i]+x
    return ans

hn = input()
H = int(get(hn,2)[0])
N = int(get(hn,2)[1])

a_text = input()
a = get(a_text,N)
for i in range(N):
    a[i] = int(a[i])

def max(a):
    m = a[0]
    k = 0
    for i in range(1,len(a)):
        if a[i] > m:
            m = a[i]
            k = i
    return [m,i]

m1 = max(a)[0]
k1 = max(a)[1]
a.pop(k1)
m2 = max(a)[0]

if m1 + m2 >= H:
    print("Yes")
else:
    print("No")

Fixed submission:
def get(text,n):
    ans = [""]*n
    i = 0
    for x in text:
        if x==" ":
            i = i + 1
        ans[i] = ans[i]+x
    return ans

hn = input()
H = int(get(hn,2)[0])
N = int(get(hn,2)[1])

a_text = input()
a = get(a_text,N)

s = 0
for i in range(N):
    s = s +  int(a[i])

if s >= H:
    print("Yes")
else:
    print("No")
Buggy python submission (verdict: Runtime Error):
def time(h):
    if h == 1:
        return 1
    else:
        return time(h//2)*2 + 1

print(time(H))

Fixed submission:
H = int(input())

def time(h):
    if h == 1:
        return 1
    elif h > 1:
        return time(h//2)*2 + 1

print(time(H))
Buggy python submission (verdict: Runtime Error):
def solve(string):
    a = int(string)
    return str(a + a**2 + a**3)                                                                                         

if __name__ == '__main__':
    import sys
    print(solve(sys.stdin.read().strip()))
~                                                                                                                       ~                                                                                                                       ~                                                                                                                       ~                                                                                                                       ~                                                    

Fixed submission:
def solve(string):
    a = int(string)
    return str(a + a**2 + a**3)                                                                                         

if __name__ == '__main__':
    import sys
    print(solve(sys.stdin.read().strip()))

Buggy python submission (verdict: Runtime Error):
def solve(string):
    a = int(string)
    return str(a + a**2 + a**3)                                                                                         

if __name__ == '__main__':
    import sys
    print(solve(sys.stdin.read().strip()))
~                                                                                                                       ~                                                                                                                       ~                                                                                                                       ~                                                                                                                       ~                                                    

Fixed submission:
def solve(string):
    a = int(string)
    return str(a + a**2 + a**3)                                                                                         

if __name__ == '__main__':
    import sys
    print(solve(sys.stdin.read().strip()))
Buggy python submission (verdict: Runtime Error):
def solve(string):
    s, t = string.split()
    return str(len(s) - sum(_s == _t for _s, _t in zip(s, t))                                                               pass


if __name__ == '__main__':
    import sys
    print(solve(sys.stdin.read().strip()))


Fixed submission:
def solve(string):
    s, t = string.split()
    return str(len(s) - sum(_s == _t for _s, _t in zip(s, t)))


if __name__ == '__main__':
    import sys
    print(solve(sys.stdin.read().strip()))
Buggy python submission (verdict: Time Limit Exceeded):
from functools import reduce
from collections import Counter


def f2nom(f):
    return reduce(lambda x, y: x * (y + 1), f, 1)


def sp(n):
    p = [2]
    *t, = range(3, n + 1, 2)
    for i, _ in enumerate(t):
        if not t[i]:
            continue
        p.append(t[i])
        for j in range(i, len(t), t[i]):
            t[j] = 0
    return p


def solve(string):
    n = int(string)
    ps = sp(int(n))
    t = [0] * (n + 1)
    for p in ps:
        if p <= n:
            t[p] = [p]
    ans = 1
    for i in range(2, n + 1):
        ans += i * f2nom(Counter(t[i]).values())
        for p in ps:
            if i * p > n:
                break
            t[i * p] = t[i][:]
            t[i * p].append(p)
    return str(ans)


if __name__ == '__main__':
    import sys
    print(solve(sys.stdin.read().strip()))


Fixed submission:
def solve(string):
    n = int(string)
    return str(sum(i * (n // i) * (n // i + 1) // 2 for i in range(1, n + 1)))


if __name__ == '__main__':
    import sys
    print(solve(sys.stdin.read().strip()))

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


def f2nom(f):
    return reduce(lambda x, y: x * (y + 1), f, 1)


def sp(n):
    p = [2]
    *t, = range(3, n + 1, 2)
    for i, _ in enumerate(t):
        if not t[i]:
            continue
        p.append(t[i])
        for j in range(i, len(t), t[i]):
            t[j] = 0
    return p


def solve(string):
    n = int(string)
    ps = sp(int(n))
    t = [0] * (n + 1)
    for p in ps:
        if p <= n:
            t[p] = [p]
    ans = 1
    for i in range(2, n + 1):
        ans += i * f2nom(Counter(t[i]).values())
        for p in ps:
            if i * p > n:
                break
            t[i * p] = t[i][:]
            t[i * p].append(p)
    return str(ans)


def _solve(string):
    n = int(string)
    ans = 0
    for i in range(1, n + 1):
        c = 0
        for j in range(1, int(i**0.5) + 1):
            if i % j == 0:
                c += 2
        if i**0.5 == int(i**0.5):
            c -= 1
        ans += i * c
    return str(ans)


if __name__ == '__main__':
    import sys
    print(solve(sys.stdin.read().strip()))


Fixed submission:
def solve(string):
    n = int(string)
    return str(sum(i * (n // i) * (n // i + 1) // 2 for i in range(1, n + 1)))


if __name__ == '__main__':
    import sys
    print(solve(sys.stdin.read().strip()))