Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
H, W = map(int, input().split())
N = int(input())
A = list(map(int, input().split()))
D = {}
for i in range(N):
    D[i + 1] = A[i]
C = ''
for k, v in D.items():
    C += v * str(k)
while True:
    c = C[:W]
    for i in range(W):
        print(c[i], end=' ')
    print('')
    if len(C) == W:
        break
    C = C[W:]
    c = C[:W]
    for i in range(W - 1, -1, -1):
        print(c[i], end=' ')
    print('')
    if len(C) == W:
        break
    C = C[W:]


Fixed submission:
H, W = map(int, input().split())
N = int(input())
A = list(map(int, input().split()))
D = {}
for i in range(N):
    D[i + 1] = A[i]
C = []
for k, v in D.items():
    [C.append(k) for _ in range(v)]
h = 0
while True:
    h += 1
    for i in range(W):
        print(C[i], end=' ')
    print('')
    [C.pop(0) for _ in range(W)]
    if h == H:
        break
    h += 1
    for i in reversed(range(W)):
        print(C[i], end=' ')
    print('')
    [C.pop(0) for _ in range(W)]
    if h == H:
        break

Buggy python submission (verdict: Runtime Error):
H, W = map(int, input().split())
N = int(input())
A = list(map(int, input().split()))
D = {}
for i in range(N):
    D[i + 1] = A[i]
D = sorted(D.items(), key=lambda x: x[1], reverse=True)
C = ''
for d in D:
    C += d[1] * str(d[0])
while True:
    c = C[:W]
    for i in range(W):
        print(c[i], end=' ')
    print('')
    if len(C) == W:
        break
    C = C[W:]
    c = C[:W]
    for i in range(W - 1, -1, -1):
        print(c[i], end=' ')
    print('')
    if len(C) == W:
        break
    C = C[W:]


Fixed submission:
H, W = map(int, input().split())
N = int(input())
A = list(map(int, input().split()))
D = {}
for i in range(N):
    D[i + 1] = A[i]
C = []
for k, v in D.items():
    [C.append(k) for _ in range(v)]
h = 0
while True:
    h += 1
    for i in range(W):
        print(C[i], end=' ')
    print('')
    [C.pop(0) for _ in range(W)]
    if h == H:
        break
    h += 1
    for i in reversed(range(W)):
        print(C[i], end=' ')
    print('')
    [C.pop(0) for _ in range(W)]
    if h == H:
        break
Buggy python submission (verdict: Time Limit Exceeded):
import sys
N = int(input())
a = [int(input()) for i in range(N)]
d = [0]
b = 0
c = 0
while True:
    if b == 1:
        print(c)
        sys.exit()
    c += 1
    b = a[b] - 1
    if b in d:
        print('-1')
        sys.exit()
    d.append(b)

Fixed submission:
import sys
N = int(input())
a = []
for i in range(N):
    a.append(int(input()))
b = [0] * N
i = 0
c = 1
while True:
    if b[i] == 1:
        print(-1)
        sys.exit()
    b[i] = 1
    i = a[i] - 1
    if i == 1:
        print(c)
        sys.exit()
    c += 1

Buggy python submission (verdict: Runtime Error):
import sys
N = int(input())
a = [int(input()) for i in range(N)]
d = [0]
b = 0
c = 0
while True:
    if b == 1:a
        print(c)
        sys.exit()
    c += 1
    b = a[b] - 1
    if b in d:
        print('-1')
        sys.exit()
    d.append(b)

Fixed submission:
import sys
N = int(input())
a = []
for i in range(N):
    a.append(int(input()))
b = [0] * N
i = 0
c = 1
while True:
    if b[i] == 1:
        print(-1)
        sys.exit()
    b[i] = 1
    i = a[i] - 1
    if i == 1:
        print(c)
        sys.exit()
    c += 1

Buggy python submission (verdict: Time Limit Exceeded):
import sys
N = int(input())
a = [int(input()) for i in range(N)]
d = [0]
b = 0
c = 0
while True:
    if b == 1:
        print(c)
        sys.exit()
    c += 1
    b = a[b] - 1
    if b in d:
        print('-1')
        sys.exit()
    d.append(b)

Fixed submission:
import sys
N = int(input())
a = []
for i in range(N):
    a.append(int(input()))
b = [0] * N
i = 0
c = 1
while True:
    if b[i] == 1:
        print(-1)
        sys.exit()
    b[i] = 1
    i = a[i] - 1
    if i == 1:
        print(c)
        sys.exit()
    c += 1
Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
n = int(input())
a = list(map(int, input().split()))
c = 0
sum = a[0]
for i in range (1, n):
    while np.sign(sum + a[i]) == np.sign(sum) or sum + a[i] == 0:
        c += 1
        if sum > 0:
            a[i] -= 1
        else:
            a[i] += 1
    sum += a[i]
print(c)

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

c1 = 0
sum = 0
for i in range(n):
    sum += a[i]
    if i % 2 == 1:
        if sum <= 0:
            c1 += 1 - sum
            sum = 1
    else:
        if sum >= 0:
            c1 += 1 + sum
            sum = -1

c2 = 0
sum = 0
for i in range(n):
    sum += a[i]
    if i % 2 == 1:
        if sum >= 0:
            c2 += 1 + sum
            sum = -1
    else:
        if sum <= 0:
            c2 += 1 - sum
            sum = 1

print(min(c1, c2))
Buggy python submission (verdict: Runtime Error):
N = int(input())

def make_divisors(n):
    lower_divisors , upper_divisors = [], []
    i = 1
    while i*i <= n:
        if n % i == 0:
            lower_divisors.append(i)
            if i != n // i:
                upper_divisors.append(n//i)
        i += 1
    return lower_divisors + upper_divisors[::-1]

L = make_divisors(N)
l = len(L)
if l % 2 == 0:
    a1 = str(L[l // 2] - 1)
    a2 = str(L[l // 2])
    print(max(len(a1), len(a2)))
else:
    a1 = str(L[l // 2 - 1])
    a2 = str(L[l // 2])
    a3 = str(L[l // 2 + 1])
    print(max(len(a1), len(a2), len(a3)))


Fixed submission:
N = int(input())
n = 10
for A in range(1, 100001):
    if N % A != 0:
        continue
    B = int(N / A)
    a = len(str(A))
    b = len(str(B))
    m = max(a, b)
    n = min(n, m)
print(n)
Buggy python submission (verdict: Time Limit Exceeded):
K, S = map(int, input().split())
c = 0
for x in range(K + 1):
    for y in range(x + 1):
        if x + y > S:
            break
        for z in range(y + 1):
            if x + y + z > S:
                break
            if x + y + z == S:
                if x != y and x!= z and y!= z:
                    c += 6
                elif x == y and x == z and y == z:
                    c += 1
                else:
                    c += 3
print(c)

Fixed submission:
K, S = map(int, input().split())
c = 0
for x in range(K + 1):
    for y in range(x + 1):
        if x + y > S:
            break
        z = S - x - y
        if z >= 0 and z < y + 1:
            if x != y and x!= z and y!= z:
                c += 6
            elif x == y and x == z and y == z:
                c += 1
            else:
                c += 3
print(c)

Buggy python submission (verdict: Time Limit Exceeded):
K, S = map(int, input().split())
c = 0
for x in range(K + 1):
    for y in range(x + 1):
        for z in range(y + 1):
            if x + y + z == S:
                if x != y and x!= z and y!= z:
                    c += 6
                elif x == y and x == z and y == z:
                    c += 1
                else:
                    c += 3
print(c)

Fixed submission:
K, S = map(int, input().split())
c = 0
for x in range(K + 1):
    for y in range(x + 1):
        if x + y > S:
            break
        z = S - x - y
        if z >= 0 and z < y + 1:
            if x != y and x!= z and y!= z:
                c += 6
            elif x == y and x == z and y == z:
                c += 1
            else:
                c += 3
print(c)

Buggy python submission (verdict: Time Limit Exceeded):
K, S = map(int, input().split())
c = 0
for x in range(K + 1):
    for y in range(x + 1):
        for z in range(y + 1):
            if x + y + z == S:
                if x != y and x!= z and y!= z:
                    c += 6
                elif x == y and x == z and y == z:
                    c += 1
                else:
                    c += 3
print(c)

Fixed submission:
K, S = map(int, input().split())
c = 0
for x in range(K + 1):
    for y in range(x + 1):
        if x + y > S:
            break
        z = S - x - y
        if z >= 0 and z < y + 1:
            if x != y and x!= z and y!= z:
                c += 6
            elif x == y and x == z and y == z:
                c += 1
            else:
                c += 3
print(c)

Buggy python submission (verdict: Time Limit Exceeded):
K, S = map(int, input().split())
c = 0
for x in range(K + 1):
    for y in range(K + 1):
        for z in range(K + 1):
            if x + y + z == S:
                c += 1
print(c)

Fixed submission:
K, S = map(int, input().split())
c = 0
for x in range(K + 1):
    for y in range(x + 1):
        if x + y > S:
            break
        z = S - x - y
        if z >= 0 and z < y + 1:
            if x != y and x!= z and y!= z:
                c += 6
            elif x == y and x == z and y == z:
                c += 1
            else:
                c += 3
print(c)
Buggy python submission (verdict: Runtime Error):
W, H, N = map(int, input().split())
xya = [list(map(int, input().split())) for _ in range(N)]

S = [[1] * W for _ in range(H)]
for x, y, a in xya:
    if a == 1:
        for i in range(H):
            for j in range(x):
                S[i][j] = 0
    elif a == 2:
        for i in range(x, W):
            for j in range(x, W)
                S[i][j] = 0
    elif a == 3:
        for i in range(y):
            for j in range(W):
                S[i][j] = 0
    else:
        for i in range(y, H):
            for j in range(W):
                S[i][j] = 0
print(sum(S))

Fixed submission:
W, H, N = map(int, input().split())
X = [list(map(int, input().split())) for i in range(N)]
M = [[0] * W for i in range(H)]
for x in X:
    if x[2] == 1:
        for i in range(0, x[0]):
            for j in range(H):
                M[j][i] = 1
    elif x[2] == 2:
        for i in range(x[0], W):
            for j in range(H):
                M[j][i] = 1
    elif x[2] == 3:
        for i in range(0, x[1]):
            for j in range(W):
                M[i][j] = 1
    elif x[2] == 4:
        for i in range(x[1], H):
            for j in range(W):
                M[i][j] = 1
c = 0
for i in range(W):
    for j in range(H):
        if M[j][i] == 0:
            c += 1
print(c)

Buggy python submission (verdict: Runtime Error):
W, H, N = map(int, input().split())
xya = [list(map(int, input().split())) for _ in range(N)]

S = [[1] * W for _ in range(H)]
for x, y, a in xya:
    if a == 1:
        for i in range(H):
            for j in range(x):
                S[i][j] = 0
    elif a == 2:
        for i in range(x, W):
            for j in range(x, W)
                S[i][j] = 0
    elif a == 3:
        for i in range(y):
            for j in range(W):
                S[i][j] = 0
    else:
        for i in range(y, H):
            for j in range(W):
                S[i][j] = 0
print(sum(S))

Fixed submission:
W, H, N = map(int, input().split())
X = [list(map(int, input().split())) for i in range(N)]
M = [[0] * W for i in range(H)]
for x in X:
    if x[2] == 1:
        for i in range(0, x[0]):
            for j in range(H):
                M[j][i] = 1
    elif x[2] == 2:
        for i in range(x[0], W):
            for j in range(H):
                M[j][i] = 1
    elif x[2] == 3:
        for i in range(0, x[1]):
            for j in range(W):
                M[i][j] = 1
    elif x[2] == 4:
        for i in range(x[1], H):
            for j in range(W):
                M[i][j] = 1
c = 0
for i in range(W):
    for j in range(H):
        if M[j][i] == 0:
            c += 1
print(c)
Buggy python submission (verdict: Time Limit Exceeded):
from collections import Counter
n = int(input())
nums = list(map(int, input().split()))
q = int(input())
vals = [tuple(map(int, input().split())) for _ in range(q)]

c = Counter(nums)

for b, k in vals:
    o = c[b]
    del c[b]
    c[k] += o
    total = sum([x*y for x, y in c.items()])
    print(total)

Fixed submission:
from collections import Counter
n = int(input())
nums = list(map(int, input().split()))
q = int(input())
vals = [tuple(map(int, input().split())) for _ in range(q)]

c = Counter(nums)
total = sum([x*y for x, y in c.items()])
for b, k in vals:
    o = c[b]
    del c[b]
    c[k] += o
    total += k * o - b * o
    print(total)
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
if n <= 1:
    print(0)
else:
    prime = True
    for i in range(2, int(n**0.5)+1):
        if n % i == 0:
            prime = False
            break
    if prime:
        print(1)
    else:
        num = 2
        initial = 1
        track = 1
        count = 0
        while num <= n:
            if n % num == 0:
                track -= 1
                if track == 0:
                    count += 1
                    initial += 1
                    track = initial
                n = n // num
            else:
                num += 1
                initial = 1
                track = 1
        print(count)


Fixed submission:
import math
from collections import defaultdict

def isPrime(num):
    prime = True
    save = num
    save2 = None
    for i in range(2, int(math.sqrt(num))+1):
        if num % i == 0:
            prime = False
            save = i
            save2 = num // i
            break
    return prime, save, save2

store = defaultdict(int)

def solve(num):
    check, num1, num2 = isPrime(num)
    if check == True:
        global store
        store[num1] += 1
    if check == False:
        solve(num1)
        solve(num2)

n = int(input())
if n <= 1:
    print(0)
else:
    count = 0
    solve(n)
    for key, v in store.items():
        for i in range(1, v+1):
            if store[key] >= i:
                store[key] -= i
                count += 1
            else:
                break
    print(count)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict
n = int(input())
if n <= 1:
    print(0)
else:
    prime = True
    for i in range(2, int(n**0.5)+1):
        if n % i == 0:
            prime = False
            break
    if prime:
        print(1)
    else:
        store = defaultdict(int)
        num = 2
        while num <= n:
            if n % num == 0:
                store[num] += 1
                n = n // num
            else:
                num += 1
        count = 0
        for v in store.values():
            k = v
            for i in range(1, v+1):
                if k >= i:
                    k -= i
                    count += 1
                else:
                    break
        print(count)


Fixed submission:
import math
from collections import defaultdict

def isPrime(num):
    prime = True
    save = num
    save2 = None
    for i in range(2, int(math.sqrt(num))+1):
        if num % i == 0:
            prime = False
            save = i
            save2 = num // i
            break
    return prime, save, save2

store = defaultdict(int)

def solve(num):
    check, num1, num2 = isPrime(num)
    if check == True:
        global store
        store[num1] += 1
    if check == False:
        solve(num1)
        solve(num2)

n = int(input())
if n <= 1:
    print(0)
else:
    count = 0
    solve(n)
    for key, v in store.items():
        for i in range(1, v+1):
            if store[key] >= i:
                store[key] -= i
                count += 1
            else:
                break
    print(count)
Buggy python submission (verdict: Time Limit Exceeded):
n, k = map(int, input().split())
s = [list(map(int, input().split())) for _ in range(k)]
dp = [0]*(n+1)
dp[1] = 1
mod = 998244353

for i in range(2, n+1):
    for j in range(k):
        li = max(i-s[j][1], 1)
        ri = i-s[j][0]
        if ri < 0:
            continue
        dp[i] += sum(dp[li: ri+1])
        dp[i] %= mod
print(dp[n])
    


Fixed submission:
n, k = map(int, input().split())
s = [list(map(int, input().split())) for _ in range(k)]
dp = [0]*(n+1)
dp[1] = 1
mod = 998244353
dpsum = [0]*(n+1)
dpsum[1] = 1

for i in range(2, n+1):
    for j in range(k):
        li = max(i-s[j][1], 1)
        ri = i-s[j][0]
        if ri < 0:
            continue
        dp[i] += dpsum[ri]-dpsum[li-1]
        dp[i] %= mod
    dpsum[i] = dpsum[i-1]+dp[i]
print(dp[n])
Buggy python submission (verdict: Runtime Error):
import math
n = int(input())
if n == 0:
    print('No')
    exit()

d = int(math.log10(n)+1)

total = 0
n = str(n)
for i in range(d):
    total += int(n[i])

if total % 9 == 0:
    print('Yes')
else:
    print('No')


Fixed submission:
n = int(input())

total = 0
n = str(n)
for i in range(len(n)):
    total += int(n[i])

if total % 9 == 0:
    print('Yes')
else:
    print('No')

Buggy python submission (verdict: Runtime Error):
import math
n = int(input())
d = int(math.log10(n)+1)

total = 0
n = str(n)
for i in range(d):
    total += int(n[i])

if total % 9 == 0:
    print('Yes')
else:
    print('No')


Fixed submission:
n = int(input())

total = 0
n = str(n)
for i in range(len(n)):
    total += int(n[i])

if total % 9 == 0:
    print('Yes')
else:
    print('No')
Buggy python submission (verdict: Time Limit Exceeded):
import collections
h, w = map(int, input().split())
ch, cw = map(int, input().split())
dh, dw = map(int, input().split())
s = [input() for _ in range(h)]

ch -= 1
cw -= 1
dh -= 1
dw -= 1

d = collections.deque()
d.append((ch, cw))
visit = set()
x = ch
y = cw
cost = [[-1]*w for _ in range(h)]
cost[ch][cw] = 0

while len(d) > 0:
    x, y = d.popleft()
    if (x, y) not in visit:
        visit.add((x, y))
    else:
        continue
    for i in range(5):
        for j in range(5):
            x_n = x+i-2
            y_n = y+j-2
            if x_n >= 0 and x_n < h and y_n >= 0 and y_n < w:
                if s[x_n][y_n] == '.' and (x_n, y_n) not in visit:
                    if pow(i-2, 2)+pow(j-2, 2) == 1:
                            d.appendleft((x_n, y_n))
                            cost[x_n][y_n] = cost[x][y]
                    else:
                        d.append((x_n, y_n))
                        if cost[x_n][y_n] == -1:
                            cost[x_n][y_n] = cost[x][y]+1

print(cost[dh][dw])


Fixed submission:
import collections
h, w = map(int, input().split())
ch, cw = map(int, input().split())
dh, dw = map(int, input().split())
s = [input() for _ in range(h)]

ch -= 1
cw -= 1
dh -= 1
dw -= 1

d = collections.deque()
d.append((ch, cw))
visit = set()
x = ch
y = cw
cost = [[-1]*w for _ in range(h)]
cost[ch][cw] = 0

while len(d) > 0:
    x, y = d.popleft()
    if (x, y) not in visit:
        visit.add((x, y))
    else:
        continue
    for i in range(5):
        for j in range(5):
            x_n = x+i-2
            y_n = y+j-2
            if x_n >= 0 and x_n < h and y_n >= 0 and y_n < w:
                if s[x_n][y_n] == '.' and (x_n, y_n) not in visit:
                    if pow(i-2, 2)+pow(j-2, 2) == 1:
                            d.appendleft((x_n, y_n))
                            cost[x_n][y_n] = cost[x][y]
                    else:
                        d.append((x_n, y_n))
                        if cost[x_n][y_n] == -1:
                            cost[x_n][y_n] = cost[x][y]+1

print(cost[dh][dw])
Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque
n, k = map(int, input().split())
a = list(map(int, input().split()))

prev = 1
for i in range(k):
    prev *= a[i]

a_old = deque(a)
a = deque(a[k:])
for i in range(k, n):
    score = prev*a.popleft() / a_old.popleft()
    if score <= prev:
        print('No')
    else:
        print('Yes')
    prev = score


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

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

Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque
n, k = map(int, input().split())
a = list(map(int, input().split()))

prev = 1
for i in range(k):
    prev *= a[i]

a_old = deque(a)
s = [prev]
for i in range(k, n):
    old = a_old.popleft()
    score = prev*a[i] / old
    s.append(score)
    prev = score

for i in range(1, n-k+1):
    if s[i] > s[i-1]:
        print('Yes')
    else:
        print('No')

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

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

Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque
n, k = map(int, input().split())
a = list(map(int, input().split()))

prev = 1
for i in range(k):
    prev *= a[i]

a_old = deque(a)
for i in range(k, n):
    old = a_old.popleft()
    score = prev*a[i] / old
    if score <= prev:
        print('No')
    else:
        print('Yes')
    prev = score

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

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

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

prev = 1
for i in range(k):
    prev *= a[i]
old = 0

for i in range(k, n):
    score = prev*a[i] / a[old]
    if score <= prev:
        print('No')
        #exit()
    else:
        print('Yes')
    prev = score
    old += 1

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

for i in range(n-k):
    if a[i+k] <= a[i]:
        print('No')
    else:
        print('Yes')
Buggy python submission (verdict: Time Limit Exceeded):
from math import sqrt
from math import floor
n = int(input())

for i in range(1, n + 1):
    n2 = floor(sqrt(i))
    ans = 0
    for x in range(1, n2):
        for y in range(1, n2):
            for z in range(1, n2):
                if i == pow(x, 2) + pow(y, 2) + pow(z, 2) + x * y + y * z + z * x:
                    ans += 1
    print(ans)


Fixed submission:
n = int(input())

ans = [0] * n
for x in range(1, 101):
    for y in range(1, 101):
        for z in range(1, 101):
            a = x**2 + y**2 + z**2 + x*y + y*z + z*x
            if a >= 1 and a <= n:
                ans[a - 1] += 1

for a in ans:
    print(a)

Buggy python submission (verdict: Runtime Error):
from math import sqrt
from math import floor
n = int(input())

for i in range(n + 1):
    n2 = floor(sqrt(i))
    ans = 0
    for x in range(1, n2):
        for y in range(1, n2):
            if i - (pow(x, 2) + pow(y, 2) + x * y) pow(z, 2) +  y * z + z * x:
                    ans += 1
    print(ans)


Fixed submission:
n = int(input())

ans = [0] * n
for x in range(1, 101):
    for y in range(1, 101):
        for z in range(1, 101):
            a = x**2 + y**2 + z**2 + x*y + y*z + z*x
            if a >= 1 and a <= n:
                ans[a - 1] += 1

for a in ans:
    print(a)