Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
N = int(input())
X = input()
X = X[::-1]

def count(n):
    if n==0:
        return 0
    m = 0
    for i in range(18):
        if n&2**i:
            m += 1
    n %= m
    return 1+count(n)



p1 = [1]*(N+1)
p2 = [1]*(N+1)
m = 0
for i in range(N):
    if X[i]=='1':
        m += 1
for n in range(N):
    p1[n+1] = 2*p1[n]%(m+1)
    p2[n+1] = 2*p2[n]%(m-1)

num = [0]*N
base1 = 0
base2 = 0
for i in range(N):
    if X[i]=='1':
        base1 += p1[i]
        base2 += p2[i]

for i in range(N):
    if X[i]=='0':
        num[i] = (base1+p1[i])%(m+1)
    else:
        num[i] = (base2-p2[i])%(m-1)

ans = [1]*N

for i in range(N-1,-1,-1):
    ans[i] += count(num[i])
    print(ans[i])

Fixed submission:
N = int(input())
X = input()
X = X[::-1]

def count(n):
    if n==0:
        return 0
    m = 0
    for i in range(18):
        if n&2**i:
            m += 1
    n %= m
    return 1+count(n)



p1 = [1]*(N+1)
p2 = [1]*(N+1)
m = 0
for i in range(N):
    if X[i]=='1':
        m += 1

for n in range(N):
    p1[n+1] = 2*p1[n]%(m+1)
    if m!=1:
        p2[n+1] = 2*p2[n]%(m-1)

num = [0]*N
base1 = 0
base2 = 0
for i in range(N):
    if X[i]=='1':
        base1 += p1[i]
        base2 += p2[i]

ans = [0]*N
for i in range(N):
    if X[i]=='0':
        num[i] = (base1+p1[i])%(m+1)
        ans[i] += 1
    else:
        if m!=1:
            num[i] = (base2-p2[i])%(m-1)
            ans[i] += 1
        else:
            num[i] = 0



for i in range(N-1,-1,-1):
    ans[i] += count(num[i])
    print(ans[i])
Buggy python submission (verdict: Runtime Error):
N,M,K = map(int,input().split())
A = list(map(int,input().split()))
B = list(map(int,input().split()))

a = [0]*N
for i in range(N):
    a[i] = A[i]+a[i-1]
b = [0]*M
for i in range(M):
    b[i] = B[i]+b[i-1]
a = [0]+a
b = [0]+b
ans = 0
for i in range(N+1):
    c = a[i]
    if K-c>=0:
        j = bisect(b,K-c)
        ans = max(ans,i+j-1)
print(ans)


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

a = [0]*N
for i in range(N):
    a[i] = A[i]+a[i-1]
b = [0]*M
for i in range(M):
    b[i] = B[i]+b[i-1]
a = [0]+a
b = [0]+b
ans = 0
for i in range(N+1):
    c = a[i]
    if K-c>=0:
        j = bisect(b,K-c)
        ans = max(ans,i+j-1)
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
mod = 998244353
S,K = input().split()
K = min(300,int(K))
a = []
c = 0
for i in range(len(S)):
    if S[i]=='0':
        a.append(c)
        c = 0
    else:
        c += 1
if S[-1]=='1':
    a.append(c)
a = a[::-1]
N = len(a)
dp = [[[0]*(K+1) for _ in range(K+1)] for _ in range(N+1)]
dp[0][0][0] = 1
for i in range(N):
    for j in range(K+1):
        for k in range(j+1):
            for l in range(a[i]+1):
                if j+l>K:
                    break
                dp[i+1][j+l][k+l] += dp[i][j][k]
                dp[i+1][j+l][k+l] %= mod
            for l in range(1,k+1):
                dp[i+1][j][k-l] += dp[i][j][k]
                dp[i+1][j][k-l] %= mod
                
ans = 0
for k in range(K+1):
    ans += dp[N][k][0]
    ans %= mod
print(ans)


Fixed submission:
mod = 998244353
S,K = input().split()
a = []
c = 0
for i in range(len(S)):
    if S[i]=='0':
        a.append(c)
        c = 0
    else:
        c += 1
if S[-1]=='1':
    a.append(c)
a = a[::-1]
K = min(sum(a),int(K))
N = len(a)
dp = [[[0]*(K+1) for _ in range(K+1)] for _ in range(N+1)]
dp[0][0][0] = 1
for i in range(N):
    for j in range(K+1):
        for k in range(j+1):
            for l in range(a[i]+1):
                if j+l>K:
                    break
                dp[i+1][j+l][k+l] += dp[i][j][k]
                dp[i+1][j+l][k+l] %= mod
            for l in range(1,k+1):
                dp[i+1][j][k-l] += dp[i][j][k]
                dp[i+1][j][k-l] %= mod
                
ans = 0
for k in range(K+1):
    ans += dp[N][k][0]
    ans %= mod
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
def dec(a):
    res = []
    for i in range(1,int(a**0.5+1)):
        if a%i==0:
            res.append(i)
            res.append(a//i)
    return res

def main():
    N = int(input())
    A = list(map(int,input().split()))

    d = {}
    for i in range(N):
        if A[i] not in d:
            d[A[i]] = 1
        else:
            d[A[i]] += 1

    ans = N
    for i in range(N):
        dl = dec(A[i])
        for a in dl:
            if a in d:
                if a==A[i]:
                    if d[a]>1:
                        ans -= 1
                        break
                else:
                    ans -= 1
                    break

    print(ans)

if __name__ == '__main__':
    main()


Fixed submission:
from collections import defaultdict
N = int(input())
A = list(map(int,input().split()))
A.sort()
count = defaultdict(lambda:0)
for a in A:
    count[a] += 1
dp = [True]*(A[-1]+1)

ans = 0
for a in A:
    if dp[a] and count[a]==1:
        ans += 1
    for i in range(1,len(dp)):
        if a*i>A[-1]:
            break
        dp[a*i] = False

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
def dec(a):
    res = []
    for i in range(1,int(a**0.5+1)):
        if a%i==0:
            res.append(i)
            res.append(a//i)
    res = list(set(res))
    return res

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

d = {}
for i in range(N):
    if A[i] not in d:
        d[A[i]] = 1
    else:
        d[A[i]] += 1

ans = N
for i in range(N):
    dl = dec(A[i])
    for a in dl:
        if a in d:
            if a==A[i]:
                if d[a]>1:
                    ans -= 1
                    break
            else:
                ans -= 1
                break

print(ans)

Fixed submission:
from collections import defaultdict
N = int(input())
A = list(map(int,input().split()))
A.sort()
count = defaultdict(lambda:0)
for a in A:
    count[a] += 1
dp = [True]*(A[-1]+1)

ans = 0
for a in A:
    if dp[a] and count[a]==1:
        ans += 1
    for i in range(1,len(dp)):
        if a*i>A[-1]:
            break
        dp[a*i] = False

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
def solve():
    N = int(input())
    A = list(map(int,input().split()))
    S = input()
    dp = set([0])
    for i in range(N-1,-1,-1):
        if S[i]=='0':
            add = set()
            for a in dp:
                add.add(a^A[i])
            dp |= add
        else:
            if A[i] not in dp:
                dp = set()
    if len(dp) != 0:
        ans = '0'
    else:
        ans = '1'
    print(ans)

T = int(input())
for t in range(T):
    solve()

Fixed submission:
def solve():
    N = int(input())
    A = list(map(int,input().split()))
    S = input()
    ans = '0'
    for i in range(N):
        if S[i]=='1':
            l = []
            for j in range(i+1,N):
                if S[j]=='0':
                    l.append(A[j])
            for k in range(len(l)):
                l.sort()
                for j in range(len(l)-1):
                    if l[j+1]^l[j] < l[j+1]:
                        l[j+1],l[j] = l[j],l[j+1]^l[j]
                
            s = A[i]
            for j in range(len(l)-1,-1,-1):
                if s^l[j] < s:
                    s ^= l[j]
            if s != 0:
                ans = '1'
    print(ans)
def main():
    T = int(input())
    for t in range(T):
        solve()

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
def solve():
    N = int(input())
    A = list(map(int,input().split()))
    S = input()
    ans = '0'
    for i in range(N):
        if S[i]=='1':
            l = []
            for j in range(i+1,N):
                if S[j]=='0':
                    l.append(A[j])
            cand = []
            for a in l:
                cand.append(a)
                for b in l:
                    cand.append(a^b)
            cand = list(set(cand))
            cand.sort()
            s = A[i]
            for a in cand:
                if s^a<s:
                    s ^= a
            for a in cand:
                if s^a<s:
                    s ^= a
            if s != 0:
                ans = '1'
                
    print(ans)

T = int(input())
for t in range(T):
    solve()

Fixed submission:
def solve():
    N = int(input())
    A = list(map(int,input().split()))
    S = input()
    ans = '0'
    for i in range(N):
        if S[i]=='1':
            l = []
            for j in range(i+1,N):
                if S[j]=='0':
                    l.append(A[j])
            for k in range(len(l)):
                l.sort()
                for j in range(len(l)-1):
                    if l[j+1]^l[j] < l[j+1]:
                        l[j+1],l[j] = l[j],l[j+1]^l[j]
                
            s = A[i]
            for j in range(len(l)-1,-1,-1):
                if s^l[j] < s:
                    s ^= l[j]
            if s != 0:
                ans = '1'
    print(ans)
def main():
    T = int(input())
    for t in range(T):
        solve()

if __name__ == '__main__':
    main()
Buggy python submission (verdict: Runtime Error):
T = int(input())
for i in range(T):
    N,A,B,C,D = map(int,input().split())
    memo = {0:0,1:D}
    def f(n):
        if n in memo:
            return memo[n]
        else:
            res = D*n
            r2 = n%2
            r3 = n%3
            r5 = n%5
            res = min(res,f(n//2)+A+r2*D,f(n//3)+B+r3*D,f(n//5)+C+r5*D)
            res = min(res,f((n+1)//2)+A+(2-r2)*D,f((n+2)//3+1)+B+(3-r3)*D,f((n+4)//5+1)+C+(5-r5)*D)
            memo[n] = res
            return res
    print(f(N))

Fixed submission:
T = int(input())
for i in range(T):
    N,A,B,C,D = map(int,input().split())
    memo = {0:0,1:D}
    def f(n):
        if n in memo:
            return memo[n]
        else:
            res = D*n
            r2 = n%2
            r3 = n%3
            r5 = n%5
            res = min(res,f(n//2)+A+r2*D,f(n//3)+B+r3*D,f(n//5)+C+r5*D)
            res = min(res,f((n+1)//2)+A+(2-r2)*D,f((n+2)//3)+B+(3-r3)*D,f((n+4)//5)+C+(5-r5)*D)
            memo[n] = res
            return res
    print(f(N))

Buggy python submission (verdict: Runtime Error):
from math import ceil
T = int(input())
for i in range(T):
    N,A,B,C,D = map(int,input().split())
    memo = {0:0,1:D}
    def f(n):
        if n in memo:
            return memo[n]
        else:
            res = D*n
            r2 = n%2
            r3 = n%3
            r5 = n%5
            res = min(res,f(n//2)+A+r2*D,f(n//3)+B+r3*D,f(n//5)+C+r5*D)
            res = min(res,f(n//2+1)+A+(2+r2)*D,f(n//3+1)+B+(3+r3)*D,f(n//5+1)+C+(5+r5)*D)
            res = min(res,f(ceil(n/2))+A+(2-r2)*D,f(ceil(n/3))+B+(3-r3)*D,f(ceil(n/5))+C+(5-r5)*D)
            memo[n] = res
            return res
    print(f(N))

Fixed submission:
T = int(input())
for i in range(T):
    N,A,B,C,D = map(int,input().split())
    memo = {0:0,1:D}
    def f(n):
        if n in memo:
            return memo[n]
        else:
            res = D*n
            r2 = n%2
            r3 = n%3
            r5 = n%5
            res = min(res,f(n//2)+A+r2*D,f(n//3)+B+r3*D,f(n//5)+C+r5*D)
            res = min(res,f((n+1)//2)+A+(2-r2)*D,f((n+2)//3)+B+(3-r3)*D,f((n+4)//5)+C+(5-r5)*D)
            memo[n] = res
            return res
    print(f(N))
Buggy python submission (verdict: Runtime Error):
mod = 1000000007
from collections import defaultdict
def gcd(a, b):
	while b:
		a, b = b, a % b
	return a

N = int(input())
AB = [list(map(int,input().split())) for _ in range(N)]
d1 = defaultdict(lambda:0)
d2 = defaultdict(lambda:0)
for i in range(N):
    a,b = AB[i]
    a_ = abs(a)
    b_ = abs(b)
    d = gcd(a,b)
    a //= d
    b //= d
    if a < 0:
        a *= -1
        b *= -1
    if b>=0:
        d1[(a,b)] += 1
    else:
        d2[(a,b)] += 1
        d1[(-b,a)] += 0

ans = 1
for a,b in d1:
    x = d1[(a,b)]
    y = d2[(b,-a)]
    ans *= pow(2,x,mod)+pow(2,y,mod)-1
    ans %= mod
ans -= 1
print(ans)

Fixed submission:
mod = 1000000007
from collections import defaultdict
def gcd(a, b):
	while b:
		a, b = b, a % b
	return a

N = int(input())
AB = [list(map(int,input().split())) for _ in range(N)]
d1 = defaultdict(lambda:0)
d2 = defaultdict(lambda:0)
ca = 0
cb = 0
cc = 0
for i in range(N):
    a,b = AB[i]
    if a==0 and b!=0:
        ca += 1
        continue
    elif a!=0 and b==0:
        cb += 1
        continue
    elif a==0 and b==0:
        cc += 1
        continue
    a_ = abs(a)
    b_ = abs(b)
    d = gcd(a,b)
    if d != 0:
        a //= d
        b //= d
    if a < 0:
        a *= -1
        b *= -1
    if b>0:
        d1[(a,b)] += 1
    else:
        d2[(a,b)] += 1
        d1[(-b,a)] += 0

ans = pow(2,ca)+pow(2,cb)-1
for a,b in d1:
    x = d1[(a,b)]
    y = d2[(b,-a)]
    ans *= pow(2,x,mod)+pow(2,y,mod)-1
    ans %= mod
ans -= 1
ans += cc
ans %= mod
print(ans)

Buggy python submission (verdict: Runtime Error):
mod = 1000000007
from collections import defaultdict

N = int(input())
AB = [list(map(int,input().split())) for _ in range(N)]
d1 = defaultdict(lambda:0)
d2 = defaultdict(lambda:0)
for i in range(N):
    a,b = AB[i]
    a_ = abs(a)
    b_ = abs(b)
    d = gcd(a,b)
    a //= d
    b //= d
    if a < 0:
        a *= -1
        b *= -1
    if b>=0:
        d1[(a,b)] += 1
    else:
        d2[(a,b)] += 1
        d1[(-b,a)] += 0

ans = 1
for a,b in d1:
    x = d1[(a,b)]
    y = d2[(b,-a)]
    ans *= pow(2,x,mod)+pow(2,y,mod)-1
    ans %= mod
ans -= 1
print(ans)

Fixed submission:
mod = 1000000007
from collections import defaultdict
def gcd(a, b):
	while b:
		a, b = b, a % b
	return a

N = int(input())
AB = [list(map(int,input().split())) for _ in range(N)]
d1 = defaultdict(lambda:0)
d2 = defaultdict(lambda:0)
ca = 0
cb = 0
cc = 0
for i in range(N):
    a,b = AB[i]
    if a==0 and b!=0:
        ca += 1
        continue
    elif a!=0 and b==0:
        cb += 1
        continue
    elif a==0 and b==0:
        cc += 1
        continue
    a_ = abs(a)
    b_ = abs(b)
    d = gcd(a,b)
    if d != 0:
        a //= d
        b //= d
    if a < 0:
        a *= -1
        b *= -1
    if b>0:
        d1[(a,b)] += 1
    else:
        d2[(a,b)] += 1
        d1[(-b,a)] += 0

ans = pow(2,ca)+pow(2,cb)-1
for a,b in d1:
    x = d1[(a,b)]
    y = d2[(b,-a)]
    ans *= pow(2,x,mod)+pow(2,y,mod)-1
    ans %= mod
ans -= 1
ans += cc
ans %= mod
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int,input().split()))

A = [[A[i],i] for i in range(N)]
A.sort()

dp = [[0]*(N+1) for i in range(N+1)]

ans = 0
for i in range(N+1):
    for j in range(N+1):
        if i+j>N:
            continue
        if i+j==0:
            continue
        a,k = A[-i-j]
        if i==0:
            dp[i][j] = dp[i][j-1]+a*(N-j-k)
        elif j==0:
            dp[i][j] = dp[i-1][j]+a*(k-i+1)
        else:
            dp[i][j] = max(dp[i-1][j]+a*(k-i+1),dp[i][j-1]+a*(N-j-k))
        ans = max(ans,dp[i][j])
print(ans)

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

A = [[A[i],i] for i in range(N)]
A.sort()

dp = [[0]*(N+1) for i in range(N+1)]

ans = 0
for i in range(N+1):
    for j in range(N+1):
        if i+j>N:
            continue
        if i+j==0:
            continue
        a,k = A[-i-j]
        if i==0:
            dp[i][j] = dp[i][j-1]+a*(N-j-k)
        elif j==0:
            dp[i][j] = dp[i-1][j]+a*(k-i+1)
        else:
            dp[i][j] = max(dp[i-1][j]+a*(k-i+1),dp[i][j-1]+a*(N-j-k))
        ans = max(ans,dp[i][j])
print(ans)
Buggy python submission (verdict: Runtime Error):
N = int(input())
A = list(map(int,input().split()))
s = [0]*N
for i in range(N):
    s[i] = s[i-2]+A[i]

dp = [0]*N
dp[1] = max(A[0],A[1])
dp[2] = max(A[0],A[1],A[2])
for n in range(3,N):
    if n%2==1:
        dp[n] = max(A[n]+dp[n-2],s[n-1])
    else:
        dp[n] = max(A[n]+dp[n-2],A[n-1]+dp[n-3],s[n-2])

print(dp[-1])

Fixed submission:
N = int(input())
A = list(map(int,input().split()))
s = [0]*N
for i in range(N):
    s[i] = s[i-2]+A[i]

dp = [0]*N
dp[1] = max(A[0],A[1])
if N>=3:
    dp[2] = max(A[0],A[1],A[2])
for n in range(3,N):
    if n%2==1:
        dp[n] = max(A[n]+dp[n-2],s[n-1])
    else:
        dp[n] = max(A[n]+dp[n-2],A[n-1]+dp[n-3],s[n-2])

print(dp[-1])

Buggy python submission (verdict: Time Limit Exceeded):
import sys
sys.setrecursionlimit(100000000)
N = int(input())
A = list(map(int,input().split()))
s = [0]*N
for i in range(N):
    s[i] = s[i-2]+A[i]

def f(n):
    if n==0:
        return 0
    elif n ==1:
        return max(A[0],A[1])
    elif n==2:
        return max(A[0],A[1],A[2])
    elif n%2==1:
        return max(A[n]+f(n-2),s[n-1])
    else:
        return max(A[n]+f(n-2),A[n-1]+f(n-3),s[n-2])

ans = f(N-1)
print(ans)

Fixed submission:
N = int(input())
A = list(map(int,input().split()))
s = [0]*N
for i in range(N):
    s[i] = s[i-2]+A[i]

dp = [0]*N
dp[1] = max(A[0],A[1])
if N>=3:
    dp[2] = max(A[0],A[1],A[2])
for n in range(3,N):
    if n%2==1:
        dp[n] = max(A[n]+dp[n-2],s[n-1])
    else:
        dp[n] = max(A[n]+dp[n-2],A[n-1]+dp[n-3],s[n-2])

print(dp[-1])

Buggy python submission (verdict: Runtime Error):
N = int(input())
A = list(map(int,input().split()))
s = [0]*N
for i in range(N):
    s[i] = s[i-2]+A[i]

def f(n):
    if n==0:
        return 0
    elif n ==1:
        return max(A[0],A[1])
    elif n==2:
        return max(A[0],A[1],A[2])
    elif n%2==1:
        return max(A[n]+f(n-2),s[n-1])
    else:
        return max(A[n]+f(n-2),A[n-1]+f(n-3),s[n-2])

ans = f(N-1)
print(ans)

Fixed submission:
N = int(input())
A = list(map(int,input().split()))
s = [0]*N
for i in range(N):
    s[i] = s[i-2]+A[i]

dp = [0]*N
dp[1] = max(A[0],A[1])
if N>=3:
    dp[2] = max(A[0],A[1],A[2])
for n in range(3,N):
    if n%2==1:
        dp[n] = max(A[n]+dp[n-2],s[n-1])
    else:
        dp[n] = max(A[n]+dp[n-2],A[n-1]+dp[n-3],s[n-2])

print(dp[-1])
Buggy python submission (verdict: Runtime Error):
mod = 10**9+7
fact = [1]*(2*10**5+1)
for n in range(1,2*10**5+1):
    fact[n] = n*fact[n-1]%mod
factinv = [1]*(2*10**5+1)
inv = [1]*(2*10**5+1)
for n in range(1,2*10**5+1):
    factinv[n] = pow(fact[n],mod-2,mod)
    inv[n] = pow(n,mod-2,mod)
def comb(n,k):
    return fact[n]*factinv[k]*factinv[n-k]%mod

N = int(input())
g = [[] for _ in range(N)]

for i in range(N-1):
    a,b = map(int,input().split())
    a -= 1
    b -= 1
    g[a].append(b)
    g[b].append(a)

p = [-1]*N
p[0] = 0
q = [0]
while q:
    i = q.pop()
    for j in g[i]:
        if p[j]==-1:
            p[j] = i
            q.append(j)

c = [[] for _ in range(N)]
for i in range(1,N):
    c[p[i]].append(i)

cn = [-1]*N
def rec(n):
    if cn[n] != -1:
        return cn[n]
    res = 0
    for i in c[n]:
        res += rec(i)+1
    cn[n] = res
    return res

cn[0] = rec(0)    

ans = [0]*N

def dfs(n):
    res = fact[cn[n]]
    for c in g[n]:
        if c==p[n]:
            continue
        res *= factinv[cn[c]+1]*dfs(c)
        res %= mod
    return res

ans[0] = dfs(0)

q = [0]
while q:
    i = q.pop()
    for j in g[i]:
        if ans[j]==0:
            ans[j] = ans[i]*(cn[j]+1)*inv[N-1-cn[j]]%mod
            q.append(j)

for i in range(N):
    print(ans[i])

Fixed submission:
import sys
sys.setrecursionlimit(10**7)
mod = 10**9+7
fact = [1]*(2*10**5+1)
for n in range(1,2*10**5+1):
    fact[n] = n*fact[n-1]%mod
factinv = [1]*(2*10**5+1)
inv = [1]*(2*10**5+1)
for n in range(1,2*10**5+1):
    factinv[n] = pow(fact[n],mod-2,mod)
    inv[n] = pow(n,mod-2,mod)
def comb(n,k):
    return fact[n]*factinv[k]*factinv[n-k]%mod

N = int(input())
g = [[] for _ in range(N)]

for i in range(N-1):
    a,b = map(int,input().split())
    a -= 1
    b -= 1
    g[a].append(b)
    g[b].append(a)

p = [-1]*N
p[0] = 0
q = [0]
while q:
    i = q.pop()
    for j in g[i]:
        if p[j]==-1:
            p[j] = i
            q.append(j)

c = [[] for _ in range(N)]
for i in range(1,N):
    c[p[i]].append(i)

cn = [-1]*N
def rec(n):
    if cn[n] != -1:
        return cn[n]
    res = 0
    for i in c[n]:
        res += rec(i)+1
    cn[n] = res
    return res

cn[0] = rec(0)    

ans = [0]*N

def dfs(n):
    res = fact[cn[n]]
    for c in g[n]:
        if c==p[n]:
            continue
        res *= factinv[cn[c]+1]*dfs(c)
        res %= mod
    return res

ans[0] = dfs(0)

q = [0]
while q:
    i = q.pop()
    for j in g[i]:
        if ans[j]==0:
            ans[j] = ans[i]*(cn[j]+1)*inv[N-1-cn[j]]%mod
            q.append(j)

for i in range(N):
    print(ans[i])
Buggy python submission (verdict: Time Limit Exceeded):
mod = 998244353
N,S = map(int,input().split())
A = list(map(int,input().split()))

dp = [[[0]*2 for s in range(3001)] for i in range(N)]

for n in range(N):
    for s in range(3000,-1,-1):
        dp[n][s][1] = dp[n-1][s][1]
        dp[n][s][0] = dp[n-1][s][0]
        if s>A[n]:
            dp[n][s][1] += dp[n-1][s-A[n]][0]*(N-n)
            dp[n][s][0] += dp[n-1][s-A[n]][0]
        elif s==A[n]:
            dp[n][s][1] += (n+1)*(N-n)
            dp[n][s][0] += n+1
        dp[n][s][1] %= mod
        dp[n][s][0] %= mod

print(dp[N-1][S][1])

Fixed submission:
mod = 998244353
N,S = map(int,input().split())
A = list(map(int,input().split()))

dp1 = [0]*(3001*N)
dp2 = [0]*(3001*N)

for n in range(N):
    for s in range(3000,-1,-1):
        dp2[n*N+s] = dp2[(n-1)*N+s]
        dp1[n*N+s] = dp1[(n-1)*N+s]
        if s>A[n]:
            dp2[n*N+s] += dp1[(n-1)*N+s-A[n]]*(N-n)
            dp1[n*N+s] += dp1[(n-1)*N+s-A[n]]
        elif s==A[n]:
            dp2[n*N+s] += (n+1)*(N-n)
            dp1[n*N+s] += n+1
        dp2[n*N+s] %= mod
        dp1[n*N+s] %= mod

print(dp2[(N-1)*N+S])
Buggy python submission (verdict: Runtime Error):
N = input()
N = N[::-1]
ans = 0
p = 0
for i in range(len(N)):
    p += int(N[i])
    if p<5:
        ans += p
        p = 0
    elif p==5:
        if int(N[i+1])>=5:
            ans += 5
            p = 1
        else:
            ans += 5
            p = 0
    else:
        ans += 10-p
        p = 1
if p==1:
    ans += 1
print(ans)

Fixed submission:
N = input()
N = N[::-1]
ans = 0
p = 0
for i in range(len(N)):
    p += int(N[i])
    if p<5:
        ans += p
        p = 0
    elif p==5:
        if i+1==len(N):
            ans += 5
            p = 0
        elif int(N[i+1])>=5:
            ans += 5
            p = 1
        else:
            ans += 5
            p = 0
    else:
        ans += 10-p
        p = 1
if p==1:
    ans += 1
print(ans)
Buggy python submission (verdict: Runtime Error):
r1,c1,r2,c2 = map(int,input().split())
mod = 10**9+7
fact = [1]*(2*10**6+1)

for n in range(2*10**6):
    fact[n+1] = ((n+1)*fact[n])%mod

factinv = [1]*(2*10**6+1)
for n in range(10**6+1):
    factinv[n] = pow(fact[n],mod-2,mod)

def comb(n,k):
    return (fact[n]*factinv[n-k]*factinv[k])%mod

def fs(r,c):
    res = 0
    for i in range(1,c+1):
        res += comb(i+1+r,r)-1
    return res

ans = fs(r2,c2)-fs(r1-1,c2)-fs(r2,c1-1)+fs(r1-1,c1-1)
ans %= mod
print(ans)

Fixed submission:
r1,c1,r2,c2 = map(int,input().split())
mod = 10**9+7
fact = [1]*(2*10**6+11)

for n in range(2*10**6+10):
    fact[n+1] = ((n+1)*fact[n])%mod

factinv = [1]*(2*10**6+10)
for n in range(10**6+10):
    factinv[n] = pow(fact[n],mod-2,mod)

def comb(n,k):
    return (fact[n]*factinv[n-k]*factinv[k])%mod

def fs(r,c):
    res = 0
    for i in range(1,c+1):
        res += comb(i+1+r,r)-1
    return res

ans = fs(r2,c2)-fs(r1-1,c2)-fs(r2,c1-1)+fs(r1-1,c1-1)
ans %= mod
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
r1,c1,r2,c2 = map(int,input().split())
mod = 10**9+7
fact = [1]*(3*10**6)

for n in range(3*10**6-1):
    fact[n+1] = ((n+1)*fact[n])%mod

def comb(n,k):
    return (fact[n]*pow(fact[k],mod-2,mod)*pow(fact[n-k],mod-2,mod))%mod

def fs(r,c):
    res = 0
    for i in range(1,c+1):
        res += comb(i+1+r,r)-1
    return res

ans = fs(r2,c2)-fs(r1-1,c2)-fs(r2,c1-1)+fs(r1-1,c1-1)
ans %= mod
print(ans)

Fixed submission:
r1,c1,r2,c2 = map(int,input().split())
mod = 10**9+7
fact = [1]*(2*10**6+11)

for n in range(2*10**6+10):
    fact[n+1] = ((n+1)*fact[n])%mod

factinv = [1]*(2*10**6+10)
for n in range(10**6+10):
    factinv[n] = pow(fact[n],mod-2,mod)

def comb(n,k):
    return (fact[n]*factinv[n-k]*factinv[k])%mod

def fs(r,c):
    res = 0
    for i in range(1,c+1):
        res += comb(i+1+r,r)-1
    return res

ans = fs(r2,c2)-fs(r1-1,c2)-fs(r2,c1-1)+fs(r1-1,c1-1)
ans %= mod
print(ans)