Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
N = int(input())
ary = [int(input()) for _ in range(N)]


def insertion_sort(ary, g):
    cnt = 0

    for i in range(g, N):
        v = ary[i]
        j = i - g

        while j >= 0 and ary[j] > v:
            ary[j + g] = ary[j]
            j -= g
            cnt += 1

        ary[j + g] = v

    return cnt


def shell_sort(ary):

    g = []
    gn = 1
    while True:
        if gn + 3 < N:
            gn += 3
            g.append(gn)

    m = len(gn)
    cnt = 0
    for i in range(0, m):
        cnt += insertion_sort(ary, g[i])

    print(m)
    print(' '.join([str(_) for _ in g]))
    print(cnt)
    [print(_) for _ in ary]


shell_sort(ary)



Fixed submission:
N = int(input())
ary = [int(input()) for _ in range(N)]


def insertion_sort(ary, g):
    cnt = 0

    for i in range(g, N):
        v = ary[i]
        j = i - g

        while j >= 0 and ary[j] > v:
            ary[j + g] = ary[j]
            j -= g
            cnt += 1

        ary[j + g] = v

    return cnt


def shell_sort(ary):

    g = [1]
    while True:
        if 3 * g[-1] + 1 < N:
            g.append(3 * g[-1] + 1)
        else:
            break

    m = len(g)
    g = g[::-1]
    cnt = 0
    for i in range(0, m):
        cnt += insertion_sort(ary, g[i])

    print(m)
    print(' '.join([str(_) for _ in g]))
    print(cnt)
    [print(_) for _ in ary]


shell_sort(ary)

Buggy python submission (verdict: Runtime Error):
N = int(input())
ary = [int(input()) for _ in range(N)]


def insertion_sort(ary, g):
    cnt = 0

    for i in range(g, N):
        v = ary[i]
        j = i - g

        while j >= 0 and ary[j] > v:
            ary[j + g] = ary[j]
            j -= g
            cnt += 1

        ary[j + g] = v

    return cnt


def shell_sort(ary):

    g = []
    gn = 1
    while True:
        if gn + 3 < N:
            gn += 3
            g.append(gn)
        else:
            break

    m = len(gn)
    cnt = 0
    for i in range(0, m):
        cnt += insertion_sort(ary, g[i])

    print(m)
    print(' '.join([str(_) for _ in g]))
    print(cnt)
    [print(_) for _ in ary]


shell_sort(ary)



Fixed submission:
N = int(input())
ary = [int(input()) for _ in range(N)]


def insertion_sort(ary, g):
    cnt = 0

    for i in range(g, N):
        v = ary[i]
        j = i - g

        while j >= 0 and ary[j] > v:
            ary[j + g] = ary[j]
            j -= g
            cnt += 1

        ary[j + g] = v

    return cnt


def shell_sort(ary):

    g = [1]
    while True:
        if 3 * g[-1] + 1 < N:
            g.append(3 * g[-1] + 1)
        else:
            break

    m = len(g)
    g = g[::-1]
    cnt = 0
    for i in range(0, m):
        cnt += insertion_sort(ary, g[i])

    print(m)
    print(' '.join([str(_) for _ in g]))
    print(cnt)
    [print(_) for _ in ary]


shell_sort(ary)
Buggy python submission (verdict: Time Limit Exceeded):
import sys

n = int(input())

dct = []

for line in sys.stdin:

    cmd, val = line.strip().split()

    if cmd == 'insert':
        dct.append(val)

    else:
        if val in dct:
            print('yes')
        else:
            print('no')



Fixed submission:
import sys

htable = [0] * 16777216


def to_int(s):
    if s == 'A':
        return 1
    elif s == 'C':
        return 2
    elif s == 'G':
        return 3
    else:
        return 4


def to_hash(string):
    h = 0
    for i, s in enumerate(string):
        ints = to_int(s)
        h += 4**i * ints

    return h


def insert(string):
    h = to_hash(string)
    htable[h] = 1


def find(string):
    h = to_hash(string)
    if htable[h]:
        print('yes')
    else:
        print('no')


if __name__ == '__main__':

    n = int(input())

    for line in sys.stdin:
        cmd, string = line.strip().split()

        if cmd == 'insert':
            insert(string)

        else:
            find(string)
Buggy python submission (verdict: Runtime Error):
n, k = [int(_) for _ in input().split()]

ary = [int(input()) for _ in range(n)]


def search_v(p):
    v = 0
    w = 0
    tmp_k = 1
    ind = 0

    while True:

        if tmp_k > k:
            return v
        if ind == n:
            return n

        tmp = ary[ind]
        if w + tmp <= p:
            w += tmp
            v += 1
            ind += 1
        else:
            w = 0
            tmp_k += 1


max_p = 10000 * 10000
ps = range(1, max_p)
left = 0
right = max_p

while left + 1 < right:
    mid = (left + right) // 2
    v = search_v(ps[mid])

    if v >= n:
        right = mid
    else:
        left = mid

print(ps[right])



Fixed submission:
n, k = [int(_) for _ in input().split()]
ary = [int(input()) for _ in range(n)]


def search_v(p):
    v = 0
    w = 0
    tmp_k = 1
    ind = 0

    while True:

        if tmp_k > k:
            return v
        if ind == n:
            return n

        tmp = ary[ind]
        if w + tmp <= p:
            w += tmp
            v += 1
            ind += 1
        else:
            w = 0
            tmp_k += 1


max_p = n * 10000
ps = range(max_p + 1)
left = 0
right = max_p

while left + 1 < right:
    mid = (left + right) // 2
    v = search_v(ps[mid])

    if v >= n:
        right = mid
    else:
        left = mid

print(ps[right])

Buggy python submission (verdict: Runtime Error):
n, k = [int(_) for _ in input().split()]
ary = [int(input()) for _ in range(n)]


def search_v(p):
    v = 0
    w = 0
    tmp_k = 1
    ind = 0

    while True:

        if tmp_k > k:
            return v
        if ind == n:
            return n

        tmp = ary[ind]
        if w + tmp <= p:
            w += tmp
            v += 1
            ind += 1
        else:
            w = 0
            tmp_k += 1


max_p = n * k
ps = range(1, max_p + 1)
left = 0
right = max_p

while left + 1 < right:
    mid = (left + right) // 2
    v = search_v(ps[mid])

    if v >= n:
        right = mid
    else:
        left = mid

print(ps[right])



Fixed submission:
n, k = [int(_) for _ in input().split()]
ary = [int(input()) for _ in range(n)]


def search_v(p):
    v = 0
    w = 0
    tmp_k = 1
    ind = 0

    while True:

        if tmp_k > k:
            return v
        if ind == n:
            return n

        tmp = ary[ind]
        if w + tmp <= p:
            w += tmp
            v += 1
            ind += 1
        else:
            w = 0
            tmp_k += 1


max_p = n * 10000
ps = range(max_p + 1)
left = 0
right = max_p

while left + 1 < right:
    mid = (left + right) // 2
    v = search_v(ps[mid])

    if v >= n:
        right = mid
    else:
        left = mid

print(ps[right])
Buggy python submission (verdict: Time Limit Exceeded):
def bubble_sort(ary):
    flag = True
    cnt = 0
    i = 0
    while flag:
        flag = False
        for j in range(len(ary) - 1, i, -1):
            if ary[j] < ary[j - 1]:
                ary[j], ary[j - 1] = ary[j - 1], ary[j]
                flag = True
                cnt += 1
        i += 1

    # for i in range(0, len(ary) - 1):
    #     for j in range(len(ary) - 1, i, -1):
    #         if ary[j] < ary[j - 1]:
    #             ary[j], ary[j - 1] = ary[j - 1], ary[j]
    #             cnt += 1

    return cnt


n = int(input())
ary = [int(_) for _ in input().split()]
print(bubble_sort(ary))



Fixed submission:
INF = 10**10


def merge(ary, left, mid, right):
    lry = ary[left:mid]
    rry = ary[mid:right]
    lry.append(INF)
    rry.append(INF)

    cnt = 0
    i = 0
    j = 0
    for k in range(left, right):
        if lry[i] <= rry[j]:
            ary[k] = lry[i]
            i += 1
        else:
            ary[k] = rry[j]
            j += 1
            cnt += len(lry) - 1 - i

    return cnt


def merge_sort(ary, left, right):
    cnt = 0
    if left + 1 < right:
        mid = (left + right) // 2
        cnt += merge_sort(ary, left, mid)
        cnt += merge_sort(ary, mid, right)
        cnt += merge(ary, left, mid, right)

    return cnt


if __name__ == '__main__':
    n = int(input())
    ary = [int(_) for _ in input().split()]
    print(merge_sort(ary, 0, n))
Buggy python submission (verdict: Runtime Error):
INF = 10**10


def partition(ary, p, r):
    x = ary[r][1]
    i = p - 1
    for j in range(p, r):
        if ary[j][1] <= x:
            i += 1
            ary[i], ary[j] = ary[j], ary[i]

    ary[i + 1], ary[r] = ary[r], ary[i + 1]

    return i + 1


def quick_sort(ary, p, r):
    if p < r:
        q = partition(ary, p, r)
        quick_sort(ary, p, q - 1)
        quick_sort(ary, q + 1, r)


def merge(ary, left, mid, right):
    lry = ary[left:mid]
    rry = ary[mid:right]
    lry.append(INF)
    rry.append(INF)

    i = 0
    j = 0
    for k in range(left, right):
        if lry[i][1] <= rry[j][1]:
            ary[k] = lry[i]
            i += 1
        else:
            ary[k] = rry[j]
            j += 1

    return right - left


def merge_sort(ary, left, right):
    cnt = 0
    if left + 1 < right:
        mid = (left + right) // 2
        cnt += merge_sort(ary, left, mid)
        cnt += merge_sort(ary, mid, right)
        cnt += merge(ary, left, mid, right)

    return cnt


if __name__ == '__main__':
    import sys
    from copy import deepcopy

    n = int(input())
    ary = []
    for line in sys.stdin:
        _ = line.strip().split()
        ary.append((_[0], int(_[1])))

    qary = deepcopy(ary)
    mary = deepcopy(ary)
    quick_sort(qary, 0, n - 1)
    merge_sort(mary, 0, n)

    if qary == mary:
        print('Stable')
    else:
        print('Not stable')
    [print(*_) for _ in qary]



Fixed submission:
INF = 10**10


def partition(ary, p, r):
    x = ary[r][1]
    i = p - 1
    for j in range(p, r):
        if ary[j][1] <= x:
            i += 1
            ary[i], ary[j] = ary[j], ary[i]

    ary[i + 1], ary[r] = ary[r], ary[i + 1]

    return i + 1


def quick_sort(ary, p, r):
    if p < r:
        q = partition(ary, p, r)
        quick_sort(ary, p, q - 1)
        quick_sort(ary, q + 1, r)


def merge(ary, left, mid, right):
    lry = ary[left:mid]
    rry = ary[mid:right]
    lry.append(('INF', INF))
    rry.append(('INF', INF))

    i = 0
    j = 0
    for k in range(left, right):
        if lry[i][1] <= rry[j][1]:
            ary[k] = lry[i]
            i += 1
        else:
            ary[k] = rry[j]
            j += 1

    return right - left


def merge_sort(ary, left, right):
    cnt = 0
    if left + 1 < right:
        mid = (left + right) // 2
        cnt += merge_sort(ary, left, mid)
        cnt += merge_sort(ary, mid, right)
        cnt += merge(ary, left, mid, right)

    return cnt


if __name__ == '__main__':
    import sys
    from copy import deepcopy

    n = int(input())
    # ary = [(lambda x: (x[0], int(x[1])))(line.strip().split()) for line in sys.stdin]
    ary = [(lambda x: (x[0], int(x[1])))(input().split()) for i in range(n)]

    qary = deepcopy(ary)
    mary = deepcopy(ary)
    quick_sort(qary, 0, n - 1)
    merge_sort(mary, 0, n)

    if qary == mary:
        print('Stable')
    else:
        print('Not stable')
    [print(*_) for _ in qary]
Buggy python submission (verdict: Time Limit Exceeded):
def bfs(adj, s):
    n = len(adj)
    d = [-1 for _ in range(n)]
    c = [0 for _ in range(n)]

    d[s] = 0
    c[s] = 1

    queue = [s]

    while len(queue) > 0:
        u = queue.pop(0)
        for v in adj[u]:
            if c[v] == 0:
                c[v] = 1
                d[v] = d[u] + 1
                queue.append(v)

    return d


s = [int(x) for x in input().split()]
n = s[0]
m = s[1]
adj = [[] for _ in range(n)]
for _ in range(m):
    s = [int(x) for x in input().split()]
    adj[s[0]].append(s[1])
    adj[s[1]].append(s[0])

q = int(input())
for _ in range(q):
    s = [int(x) for x in input().split()]
    u = s[0]
    v = s[1]
    d = bfs(adj, u)
    if d[v] > 0:
        print("yes")
    else:
        print("no")


Fixed submission:
n, m = map(int, input().split())
adj = [[] for _ in range(n)]
for _ in range(m):
    s = [int(x) for x in input().split()]
    adj[s[0]].append(s[1])
    adj[s[1]].append(s[0])

cc = [-1 for _ in range(n)]
cnt = 0
for i in range(n):
    if cc[i] < 0:
        cc[i] = cnt
        stack = [i]
        while stack:
            v = stack.pop()
            for u in adj[v]:
                if cc[u] < 0:
                    cc[u] = cnt
                    stack.append(u)
        cnt += 1

q = int(input())
for _ in range(q):
    s, t = map(int, input().split())
    if cc[s] == cc[t]:
        print("yes")
    else:
        print("no")

Buggy python submission (verdict: Time Limit Exceeded):
def warshall_floyd(w):
    inf = 1E+100
    n = len(w)
    d = w
    for k in range(n):
        d_new = [[inf for _ in range(n)] for _ in range(n)]
        for i in range(n):
            for j in range(n):
                d_new[i][j] = min(d[i][j], d[i][k] + d[k][j])
        d = d_new
    return d


inf = 1E+100
s = [int(x) for x in input().split()]
n = s[0]
m = s[1]
w = [[inf for _ in range(n)] for _ in range(n)]
for i in range(n):
    w[i][i] = 0
for _ in range(m):
    s = [int(x) for x in input().split()]
    w[s[0]][s[1]] = 1
    w[s[1]][s[0]] = 1

d = warshall_floyd(w)

q = int(input())
for _ in range(q):
    s = [int(x) for x in input().split()]
    u = s[0]
    v = s[1]
    if d[u][v] < inf:
        print("yes")
    else:
        print("no")


Fixed submission:
n, m = map(int, input().split())
adj = [[] for _ in range(n)]
for _ in range(m):
    s = [int(x) for x in input().split()]
    adj[s[0]].append(s[1])
    adj[s[1]].append(s[0])

cc = [-1 for _ in range(n)]
cnt = 0
for i in range(n):
    if cc[i] < 0:
        cc[i] = cnt
        stack = [i]
        while stack:
            v = stack.pop()
            for u in adj[v]:
                if cc[u] < 0:
                    cc[u] = cnt
                    stack.append(u)
        cnt += 1

q = int(input())
for _ in range(q):
    s, t = map(int, input().split())
    if cc[s] == cc[t]:
        print("yes")
    else:
        print("no")
Buggy python submission (verdict: Time Limit Exceeded):
def maximum_profit(rs):
    ans = rs[1] - rs[0]
    for i in range(n):
        for j in range(i + 1, n):
            if ans < rs[j] - rs[i]:
                ans = rs[j] - rs[i]
    return ans


n = int(input())
rs = []
for _ in range(n):
    r = int(input())
    rs.append(r)

print(maximum_profit(rs))


Fixed submission:
n = int(input())
r0 = int(input())
r1 = int(input())
min_r = min(r0, r1)
ans = r1 - r0
for _ in range(2, n):
    r = int(input())
    ans = max(ans, r - min_r)
    min_r = min(r, min_r)
print(ans)

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


def maximum_profit(rs):
    ans = rs[1] - rs[0]
    for i in range(n):
        for j in range(i + 1, n):
            if ans < rs[j] - rs[i]:
                ans = rs[j] - rs[i]
    return ans


n = int(input())
rs = []
for _ in range(n):
    r = int(input())
    rs.append(r)

print(maximum_profit(rs))


Fixed submission:
n = int(input())
r0 = int(input())
r1 = int(input())
min_r = min(r0, r1)
ans = r1 - r0
for _ in range(2, n):
    r = int(input())
    ans = max(ans, r - min_r)
    min_r = min(r, min_r)
print(ans)
Buggy python submission (verdict: Runtime Error):
def reconstruct(pre_list, in_list):
    if len(pre_list) <= 1:
        return pre_list
    now = pre_list[0]
    split_place = in_list.index(now)
    pre_left = pre_list[1:split_place + 1]
    in_left = in_list[0:split_place]
    pre_right = pre_list[split_place + 1:]
    in_right = in_list[split_place + 1:]
    return reconstruct(pre_left, in_left) + reconstruct(pre_right, in_right) + [now]

def print_list_split_whitespace(a):
    for x in a[:-1]:
        print(x, end=" ")
    print(a[-1])


n = int(input())
pre_list = [int(x) for x in input().split()]
in_list = [int(x) for x in input().split()]

post_list = reconstruct(pre_list, in_list)
print_list_split_whitespace(post_list)


Fixed submission:
class Node:
    def __init__(self, key):
        self.right = None
        self.left = None
        self.parent = None
        self.key = key

    def preorder(self):
        ret = [self.key]
        if self.left:
            ret += self.left.preorder()
        if self.right:
            ret += self.right.preorder()
        return ret

    def inorder(self):
        ret = []
        if self.left:
            ret += self.left.inorder()
        ret += [self.key]
        if self.right:
            ret += self.right.inorder()
        return ret


class Tree:
    def __init__(self):
        self.root = None

    def insert(self, k):
        z = Node(k)
        y = None
        x = self.root
        while x:
            y = x
            if z.key < x.key:
                x = x.left
            else:
                x = x.right
        z.parent = y
        if y is None:
            self.root = z
        elif z.key < y.key:
            y.left = z
        else:
            y.right = z

    def print(self):
        print('', ' '.join(map(str, self.root.inorder())))
        print('', ' '.join(map(str, self.root.preorder())))


m = int(input())
tree = Tree()
for _ in range(m):
    s = input().split()
    if s[0] == "insert":
        tree.insert(int(s[1]))
    else:
        tree.print()
Buggy python submission (verdict: Runtime Error):
#coding:utf-8
import numpy as np

n = int(input())
m = [[0 for i in range(n)] for j in range(n)]
m = np.array(m)
p = []
for i in range(n):
    p1,p2 = map(int,input().split())
    if i == 0:
        p.append(p1)
    p.append(p2)

def matrixChainMultiplication():
    for i in range(n):
        m[i,i] = 0

    for l in range(2,n+1):
        for i in range(0,n-l+1):
            j = i + l - 1
            m[i,j] = 1000000
            for k in range(i,j):
                m[i,j] = min(m[i,j], m[i,k] + m[k+1,j] + p[i] * p[k+1] * p[j+1])
matrixChainMultiplication()
print(m[0,n-1])



Fixed submission:
#coding:utf-8
n = int(input())
m = [[0 for i in range(n)] for j in range(n)]
p = []
for i in range(n):
    p1,p2 = map(int,input().split())
    if i == 0:
        p.append(p1)
    p.append(p2)

def matrixChainMultiplication():
    for i in range(n):
        m[i][i] = 0

    for l in range(2,n+1):
        for i in range(0,n-l+1):
            j = i + l - 1
            m[i][j] = 1000000
            for k in range(i,j):
                m[i][j] = min(m[i][j], m[i][k] + m[k+1][j] + p[i] * p[k+1] * p[j+1])
matrixChainMultiplication()
print(m[0][n-1])
Buggy python submission (verdict: Runtime Error):
#coding: utf-8

n = int(input())
color = ["white" for i in range(n)]
d = [[] for i in range(n)]
global t
t = 0
M = [[False for i in range(n)] for j in range(n)]
for i in range(n):
    data = list(map(int,input().split()))
    u = data[0]
    k = data[1]
    if i == 0:
        start = u
    for v in data[2:2+k]:
        M[u-1][v-1] = True


def search(u,t):
    t += 1
    color[u-1] = "gray"
    d[u-1].append(t)
    for v in range(n):
        if M[u-1][v-1] and color[v-1] == "white":
            t = search(v,t)
    color[u-1] = "black"
    t += 1
    d[u-1].append(t)
    return t

search(start, t)
for i in range(n):
    print(i+1, d[i][0], d[i][1])



Fixed submission:
#coding:utf-8
from copy import deepcopy

n = int(input())
c = ["white" for i in range(n)]
d = [0 for i in range(n)]
f = [0 for i in range(n)]
S = []
class DFS:
    def __init__(self, key, color="white",nex=None):
        self.color = color
        self.nex = nex
        self.key = key

objList = [DFS(i+1) for i in range(n)]
for i in range(n):
    data = list(map(int,input().split()))
    times = data[1]
    obj = objList[i]
    for j in range(times):
        index = data[2+j] - 1
        nextobj = DFS(index+1)
        obj.nex = nextobj
        obj = obj.nex


time = 1
def check(first,time):
    obj = objList[first]
    c[first] = "gray"
    d[first] = time
    f[first] = time
    S.append(first+1)
    
    while S != []:
        index = S[-1] - 1
        u = objList[index]
        v = u.nex
    
        if v != None:
            objList[index] = v
            if c[v.key - 1] == "white":
                index = v.key - 1
                v = objList[index]
                c[v.key-1] = "gray"
                time += 1
                d[index] = time
                S.append(v.key)

           
                
        else:
            S.pop()
            c[u.key-1] = "black"
            time += 1
            f[index] = time
    return time


for i in range(n):
    if f[i] == 0:
        time = check(i,time) + 1
        

k = 1
for i,j in zip(d,f):
    print(k,i,j)
    k += 1
Buggy python submission (verdict: Time Limit Exceeded):
#coding:utf-8

n = int(input())

pri_list = [int(input()) for i in range(n)]
gap_list = []
for i in range(n-1):
    gap = max(pri_list[i+1:]) - pri_list[i]
    gap_list.append(gap)
max_ben = max(gap_list)

print(max_ben)



Fixed submission:
#coding:utf-8

n = int(input())
minv = int(input())
maxv = -10000000000
for i in range(n-1):
    price = int(input())
    maxv = max([maxv, price - minv])
    minv = min([minv, price])

print(maxv)

Buggy python submission (verdict: Time Limit Exceeded):
#coding:utf-8

n = int(input())

pri_list = [int(input()) for i in range(n)]
gap_list = []
for i in range(n-1):
    gap = max(pri_list[i+1:]) - pri_list[i]
    gap_list.append(gap)
max_ben = max(gap_list)

print(max_ben)



Fixed submission:
#coding:utf-8

n = int(input())
minv = int(input())
maxv = -10000000000
for i in range(n-1):
    price = int(input())
    maxv = max([maxv, price - minv])
    minv = min([minv, price])

print(maxv)

Buggy python submission (verdict: Runtime Error):
#coding:utf-8

n = int(input())
minv = pri_list[0]
maxv = -10000000000
for i in range(1,n-1):
    price = int(input())
    maxv = max([maxv, price - minv])
    minv = min([minv, price])

print(maxv)



Fixed submission:
#coding:utf-8

n = int(input())
minv = int(input())
maxv = -10000000000
for i in range(n-1):
    price = int(input())
    maxv = max([maxv, price - minv])
    minv = min([minv, price])

print(maxv)