Harryxun/GPT-100-sft-dataset huggingface dataset:
Problem p02833 (python)

Fixed submission:
import sys, re
from collections import deque, defaultdict, Counter
from math import ceil, sqrt, hypot, factorial, pi, sin, cos, tan, asin, acos, atan, radians, degrees, log2
from itertools import accumulate, permutations, combinations, combinations_with_replacement, product, groupby
from operator import itemgetter, mul
from copy import deepcopy
from string import ascii_lowercase, ascii_uppercase, digits
from bisect import bisect, bisect_left, insort, insort_left
from fractions import gcd
from heapq import heappush, heappop
from functools import reduce
def input(): return sys.stdin.readline().strip()
def INT(): return int(input())
def MAP(): return map(int, input().split())
def LIST(): return list(map(int, input().split()))
def ZIP(n): return zip(*(MAP() for _ in range(n)))
sys.setrecursionlimit(10 ** 9)
INF = float('inf')
mod = 10**9 + 7
#from decimal import *
 
N = INT()


if N%2 or N == 0:
	print(0)
else:
	ans = 0
	for i in range(1, int(log2(N)/log2(5))+1):
		ans += N //(5**i*2)
	print(ans)

Buggy submission (verdict: Runtime Error):
import sys, re
from collections import deque, defaultdict, Counter
from math import ceil, sqrt, hypot, factorial, pi, sin, cos, tan, asin, acos, atan, radians, degrees, log2
from itertools import accumulate, permutations, combinations, combinations_with_replacement, product, groupby
from operator import itemgetter, mul
from copy import deepcopy
from string import ascii_lowercase, ascii_uppercase, digits
from bisect import bisect, bisect_left, insort, insort_left
from fractions import gcd
from heapq import heappush, heappop
from functools import reduce
def input(): return sys.stdin.readline().strip()
def INT(): return int(input())
def MAP(): return map(int, input().split())
def LIST(): return list(map(int, input().split()))
def ZIP(n): return zip(*(MAP() for _ in range(n)))
sys.setrecursionlimit(10 ** 9)
INF = float('inf')
mod = 10**9 + 7
#from decimal import *
 
N = INT()

if N%2:
	print(0)
else:
	ans = 0
	for i in range(1, int(log2(N)/log2(5))+1):
		ans += N //(5**i*2)
	print(ans)
Problem p02881 (python)

Fixed submission:
import sys, re
from collections import deque, defaultdict, Counter
from math import ceil, sqrt, hypot, factorial, pi, sin, cos, radians
from itertools import accumulate, permutations, combinations, product, groupby
from operator import itemgetter, mul
from copy import deepcopy
from string import ascii_lowercase, ascii_uppercase, digits
from bisect import bisect, bisect_left
from fractions import gcd
from heapq import heappush, heappop
from functools import reduce
def input(): return sys.stdin.readline().strip()
def INT(): return int(input())
def MAP(): return map(int, input().split())
def LIST(): return list(map(int, input().split()))
def ZIP(n): return zip(*(MAP() for _ in range(n)))
sys.setrecursionlimit(10 ** 9)
INF = float('inf')
mod = 10 ** 9 + 7

N = INT()
A = []
for i in range(1, int(sqrt(N))+1 ):
  if N%i == 0:
    A.append(i + N//i -2)

print(min(A))

Buggy submission (verdict: Runtime Error):
import sys, re
from collections import deque, defaultdict, Counter
from math import ceil, sqrt, hypot, factorial, pi, sin, cos, radians
from itertools import accumulate, permutations, combinations, product, groupby
from operator import itemgetter, mul
from copy import deepcopy
from string import ascii_lowercase, ascii_uppercase, digits
from bisect import bisect, bisect_left
from fractions import gcd
from heapq import heappush, heappop
from functools import reduce
def input(): return sys.stdin.readline().strip()
def INT(): return int(input())
def MAP(): return map(int, input().split())
def LIST(): return list(map(int, input().split()))
def ZIP(n): return zip(*(MAP() for _ in range(n)))
sys.setrecursionlimit(10 ** 9)
INF = float('inf')
mod = 10 ** 9 + 7

N = INT()
A = []
for i in range(1,int(sqrt(N))):
  if N%i == 0:
    A.append(i + N//i -2)
    
print(min(A))
Problem p02925 (python)

Fixed submission:
import sys, re
from collections import deque, defaultdict, Counter
from math import ceil, sqrt, hypot, factorial, pi, sin, cos, tan, asin, acos, atan, radians, degrees, log2, gcd, log
from itertools import accumulate, permutations, combinations, combinations_with_replacement, product, groupby
from operator import itemgetter, mul
from copy import deepcopy
from string import ascii_lowercase, ascii_uppercase, digits
from bisect import bisect, bisect_left, insort, insort_left
from heapq import heappush, heappop
from functools import reduce
def input(): return sys.stdin.readline().strip()
def INT(): return int(input())
def MAP(): return map(int, input().split())
def LIST(): return list(map(int, input().split()))
def ZIP(n): return zip(*(MAP() for _ in range(n)))
sys.setrecursionlimit(10 ** 9)
INF = float('inf')
mod = 10 ** 9 + 7 
#mod = 998244353
from decimal import *
#import numpy as np
#decimal.getcontext().prec = 10

N = INT()
A = [LIST() for _ in range(N)]

match_id = [[0]*N for _ in range(N)]

def toid(i, j):
	i, j = sorted([i, j])
	return match_id[i][j]

cnt = 0
for i in range(N):
	for j in range(N):
		if i < j:
			match_id[i][j] = cnt
			cnt += 1

V = N*(N-1)//2

gout = [[] for _ in range(V)]
deg = [0]*V
for i in range(N):
	for j in range(N-2):
		gout[toid(i, A[i][j]-1)].append(toid(i, A[i][j+1]-1))
		deg[toid(i, A[i][j+1]-1)] += 1

topo = [v for v in range(V) if deg[v] == 0 ]
day = [0]*V
deq = deque(topo)
ans = 0
while deq:
	v = deq.popleft()
	for t in gout[v]:
		deg[t] -= 1
		if deg[t] == 0:
			deq.append(t)
			day[t] = day[v] + 1
			ans = day[t]
if any(deg):
	print(-1)
	exit()
print(ans+1)

Buggy submission (verdict: Runtime Error):
import sys, re
from collections import deque, defaultdict, Counter
from math import ceil, sqrt, hypot, factorial, pi, sin, cos, tan, asin, acos, atan, radians, degrees#, log2
from itertools import accumulate, permutations, combinations, combinations_with_replacement, product, groupby
from operator import itemgetter, mul
from copy import deepcopy
from string import ascii_lowercase, ascii_uppercase, digits
from bisect import bisect, bisect_left, insort, insort_left
from fractions import gcd
from heapq import heappush, heappop
from functools import reduce
def input(): return sys.stdin.readline().strip()
def INT(): return int(input())
def MAP(): return map(int, input().split())
def LIST(): return list(map(int, input().split()))
def ZIP(n): return zip(*(MAP() for _ in range(n)))
sys.setrecursionlimit(10 ** 9)
INF = float('inf')
mod = 10**9 + 7
#from decimal import *

H, W, D = MAP()
A = [LIST() for _ in range(H)]

dic = defaultdict(tuple)

for y in range(H):
	for x in range(W):
		dic[A[y][x]] = (y+1, x+1)

power = [[] for _ in range(D)]
for i in range(1, H*W+1):
	if i <= D:
		power[i%D].append(0)
	else:
		idx = i%D
		tmp = abs(dic[i][0]-dic[i-D][0]) + abs(dic[i][1]-dic[i-D][1])
		power[i%D].append(tmp)

#print(power)
power_acc = []
for x in power:
	power_acc.append(list(accumulate(x)))
power_acc[0].insert(0, 0)
#print(power_acc)

Q = INT()
for _ in range(Q):
	L, R = MAP()
	print(power_acc[R%D][R//D-1] - power_acc[L%D][L//D-1])
Problem p03286 (python)

Fixed submission:
import sys, re
from collections import deque, defaultdict, Counter
from math import ceil, sqrt, hypot, factorial, pi, sin, cos, radians, log2
from itertools import accumulate, permutations, combinations, product
from operator import itemgetter, mul
from copy import deepcopy
from string import ascii_lowercase, ascii_uppercase, digits
from bisect import bisect, bisect_left
from fractions import gcd
from heapq import heappush, heappop
from functools import reduce
def input(): return sys.stdin.readline().strip()
def INT(): return int(input())
def MAP(): return map(int, input().split())
def LIST(): return list(map(int, input().split()))
def ZIP(n): return zip(*(MAP() for _ in range(n)))
sys.setrecursionlimit(10 ** 9)
INF = float('inf')
mod = 10 ** 9 + 7

N = INT()

if N == 0:
	print(0)
	exit()

lim = 32
top = [0]*(lim+1)
bottom = [0]*(lim+1)

for i in range(1, lim+1):
	if i%2:
		t = (i+1)//2
		top[i] = (4**t-1)//3
		bottom[i] = bottom[i-1]
	else:
		b = i//2
		bottom[i] = (4**b-1)*2//3
		top[i] = top[i-1]

digit = [0]*(lim+1)
for i in range(1, lim+1):
	digit[i] = (-2)**(i-1)

if 0 <= N:
	idx = bisect_left(top, N)
else:
	idx = bisect_left(bottom, -N)

ans = ""
for i in range(idx, 0, -1):
	if -bottom[i-1] <= N <= top[i-1]:
		ans += "0"
	else:
		ans += "1"
		N -= digit[i]

print(ans)

Buggy submission (verdict: Runtime Error):
import sys, re
from collections import deque, defaultdict, Counter
from math import ceil, sqrt, hypot, factorial, pi, sin, cos, radians, log2
from itertools import accumulate, permutations, combinations, product
from operator import itemgetter, mul
from copy import deepcopy
from string import ascii_lowercase, ascii_uppercase, digits
from bisect import bisect, bisect_left
from fractions import gcd
from heapq import heappush, heappop
from functools import reduce
def input(): return sys.stdin.readline().strip()
def INT(): return int(input())
def MAP(): return map(int, input().split())
def LIST(): return list(map(int, input().split()))
def ZIP(n): return zip(*(MAP() for _ in range(n)))
sys.setrecursionlimit(10 ** 9)
INF = float('inf')
mod = 10 ** 9 + 7

N = INT()

if N == 0:
	print(0)
	exit()

lim = 30
top = [0]*(lim+1)
bottom = [0]*(lim+1)

for i in range(1, lim+1):
	if i%2:
		t = (i+1)//2
		top[i] = (4**t-1)//3
		bottom[i] = bottom[i-1]
	else:
		b = i//2
		bottom[i] = (4**b-1)*2//3
		top[i] = top[i-1]

digit = [0]*(lim+1)
for i in range(1, lim+1):
	digit[i] = (-2)**(i-1)

if 0 <= N:
	idx = bisect_left(top, N)
else:
	idx = bisect_left(bottom, -N)

ans = ""
for i in range(idx, 0, -1):
	if -bottom[i-1] <= N <= top[i-1]:
		ans += "0"
	else:
		ans += "1"
		N -= digit[i]

print(ans)
Problem p03723 (python)

Fixed submission:
import sys, re
from collections import deque, defaultdict, Counter
from math import ceil, sqrt, hypot, factorial, pi, sin, cos, tan, asin, acos, atan, radians, degrees#, log2
from itertools import accumulate, permutations, combinations, combinations_with_replacement, product, groupby
from operator import itemgetter, mul
from copy import deepcopy
from string import ascii_lowercase, ascii_uppercase, digits
from bisect import bisect, bisect_left, insort, insort_left
from fractions import gcd
from heapq import heappush, heappop
from functools import reduce
def input(): return sys.stdin.readline().strip()
def INT(): return int(input())
def MAP(): return map(int, input().split())
def LIST(): return list(map(int, input().split()))
def ZIP(n): return zip(*(MAP() for _ in range(n)))
sys.setrecursionlimit(10 ** 9)
INF = float('inf')
mod = 10**9 + 7
#from decimal import *

A, B, C = MAP()

if any(x%2 != 0 for x in [A, B, C]):
	print(0)
	exit()

l = [(A, B, C)]

flg = True
cnt = 0
while 1:
	a = (B+C)/2
	b = (A+C)/2
	c = (A+B)/2
	if any(x%1 != 0 for x in [a, b, c]):
		print(cnt)
		exit()
	elif (a, b, c) in l:
		print(-1)
		exit()
	else:
		A, B, C = a, b, c
		l.append((A, B, C))
		cnt += 1

Buggy submission (verdict: Runtime Error):
import sys, re
from collections import deque, defaultdict, Counter
from math import ceil, sqrt, hypot, factorial, pi, sin, cos, tan, asin, acos, atan, radians, degrees#, log2
from itertools import accumulate, permutations, combinations, combinations_with_replacement, product, groupby
from operator import itemgetter, mul
from copy import deepcopy
from string import ascii_lowercase, ascii_uppercase, digits
from bisect import bisect, bisect_left, insort, insort_left
from fractions import gcd
from heapq import heappush, heappop
from functools import reduce
def input(): return sys.stdin.readline().strip()
def INT(): return int(input())
def MAP(): return map(int, input().split())
def LIST(): return list(map(int, input().split()))
def ZIP(n): return zip(*(MAP() for _ in range(n)))
sys.setrecursionlimit(10 ** 9)
INF = float('inf')
mod = 10**9 + 7
#from decimal import *

A, B, C = MAP()

if any(x%2 for x in [A, B, C]):
	print(0)
	exit()
elif A == B == C:
	print(-1)
	exit()

cnt = 0
while all(x%2 == 0 for x in [A, B, C]):
	A, B, C = (B+C)//2, (A+C)//2, (A+B)//2
	ans += 1

print(ans)
Problem p03804 (python)

Fixed submission:
import sys, re
from collections import deque, defaultdict, Counter
from math import ceil, sqrt, hypot, factorial, pi, sin, cos, tan, asin, acos, atan, radians, degrees#, log2
from itertools import accumulate, permutations, combinations, combinations_with_replacement, product, groupby
from operator import itemgetter, mul
from copy import deepcopy
from string import ascii_lowercase, ascii_uppercase, digits
from bisect import bisect, bisect_left, insort, insort_left
from fractions import gcd
from heapq import heappush, heappop
from functools import reduce
def input(): return sys.stdin.readline().strip()
def INT(): return int(input())
def MAP(): return map(int, input().split())
def LIST(): return list(map(int, input().split()))
def ZIP(n): return zip(*(MAP() for _ in range(n)))
sys.setrecursionlimit(10 ** 9)
INF = float('inf')
mod = 10**9 + 7

N, M = MAP()

A = [input() for _ in range(N)]
B = [input() for _ in range(M)]

if A == B:
	print("Yes")
	exit()

flg = 1
for i in range(N-M):
	for j in range(N-M):
		for k in range(M):
			if A[i+k][j:j+M] != B[k]:
				break
		else:
			print("Yes")
			exit()
else:
	print("No")

Buggy submission (verdict: Runtime Error):
import sys, re
from collections import deque, defaultdict, Counter
from math import ceil, sqrt, hypot, factorial, pi, sin, cos, radians#, log2
from itertools import accumulate, permutations, combinations, combinations_with_replacement, product, groupby
from operator import itemgetter, mul
from copy import deepcopy, copy
from string import ascii_lowercase, ascii_uppercase, digits
from bisect import bisect, bisect_left, insort, insort_left
from fractions import gcd
from heapq import heappush, heappop
from functools import reduce
def input(): return sys.stdin.readline().strip()
def INT(): return int(input())
def MAP(): return map(int, input().split())
def LIST(): return list(map(int, input().split()))
def ZIP(n): return zip(*(MAP() for _ in range(n)))
sys.setrecursionlimit(10 ** 9)
INF = float('inf')
mod = 10 ** 9 + 7
#import numpy as np
#from decimal import *

N, M = MAP()
A = [input() for _ in range(M)]
B = [input() for _ in range(M)]

for i in range(N-M+1):
	for j in range(N-M+1):  #左上野ますが(i, j)
		tmp_lis = []
		for k in range(M):
			tmp_lis.append(A[i+k][j:j+M])
		if tmp_lis == B:
			print("Yes")
			exit()
else:
	print("No")
Problem p03835 (python)

Fixed submission:
import sys, re
from collections import deque, defaultdict, Counter
from math import ceil, sqrt, hypot, factorial, pi, sin, cos, radians
from itertools import accumulate, permutations, combinations, product, groupby
from operator import itemgetter, mul
from copy import deepcopy
from string import ascii_lowercase, ascii_uppercase, digits
from bisect import bisect, bisect_left
from fractions import gcd
from heapq import heappush, heappop
from functools import reduce
def input(): return sys.stdin.readline().strip()
def INT(): return int(input())
def MAP(): return map(int, input().split())
def LIST(): return list(map(int, input().split()))
def ZIP(n): return zip(*(MAP() for _ in range(n)))
sys.setrecursionlimit(10 ** 9)
INF = float('inf')
mod = 10 ** 9 + 7
import numpy as np

K, S = MAP()

cnt = 0

for X in range(K+1):
	for Y in range(K+1):
		Z = S - X - Y
		if 0 <= Z <= K:
			cnt += 1
print(cnt)

Buggy submission (verdict: Runtime Error):
import sys, re
from collections import deque, defaultdict, Counter
from math import ceil, sqrt, hypot, factorial, pi, sin, cos, radians
from itertools import accumulate, permutations, combinations, product, groupby
from operator import itemgetter, mul
from copy import deepcopy
from string import ascii_lowercase, ascii_uppercase, digits
from bisect import bisect, bisect_left
from fractions import gcd
from heapq import heappush, heappop
from functools import reduce
def input(): return sys.stdin.readline().strip()
def INT(): return int(input())
def MAP(): return map(int, input().split())
def LIST(): return list(map(int, input().split()))
def ZIP(n): return zip(*(MAP() for _ in range(n)))
sys.setrecursionlimit(10 ** 9)
INF = float('inf')
mod = 10 ** 9 + 7
import numpy as np

K, S = MAP()

count = 0

for X in range(0, K+1):
	for Y in range0, (K+1):
		Z = S - X - Y
		if 0 <= Z <= K:
			count += 1
print(count)
Problem p02623 (python)

Fixed submission:
n, m, k = map(int,input().split())
a = [0] + list(map(int,input().split()))
b = [0] + list(map(int,input().split()))

for i in range(1, n+1):
    a[i] += a[i-1]
    
for j in range(1, m+1):
    b[j] += b[j-1]
    
ans = 0
bc = m

for ac in range(n+1):
    if a[ac] > k:
        continue
    
    while a[ac] + b[bc] > k:
        bc -= 1
        
    ans  = max(ans, ac+bc)

print(ans)

Buggy submission (verdict: Runtime Error):
n, m, k = map(int,input().split())
a = list(map(int,input().split()))
b = list(map(int,input().split()))

if k >= sum(a) + sum(b):
    print(n+m)
    exit()

if n > m:
    b += [1001001001]*(n-m)
else:
    a += [1001001001]*(m-n)

nlis = []
for i in range(n+m):
    if a[0] < b[0]:
        nlis.append(a[0])
        a.remove(a[0])
    else:
        nlis.append(b[0])
        b.remove(b[0])
t = 0
while k >= 0:
    k -= nlis[t]
    t += 1

print(t-1)

Buggy submission (verdict: Runtime Error):
n, m, k = map(int,input().split())
a = list(map(int,input().split()))
b = list(map(int,input().split()))

cnt = 0
while k > 0:
    if a == []:
        a = [1001001001]
    if b == []:
        a = [1001001001]
    if a[0] < b[0]:
        if k - a[0] < 0:
            print(cnt)
            exit()
        k -= a[0]
        cnt += 1
        a.remove(a[0])
    else:
        if k - b[0] < 0:
            print(cnt)
            exit()
        k -= b[0]
        cnt += 1
        b.remove(b[0])

print(cnt)
Problem p02819 (python)

Fixed submission:
x = int(input())

ans = 0

for i in range(x, 100004):
    tmpf = 1
    for j in range(2, int(i**0.5)):
        if i % j == 0:
            tmpf = 0
            break
    if tmpf == 1:
        ans = i
        break
    
print(ans)

Buggy submission (verdict: Runtime Error):
from fractions import gcd

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

def lcm(x, y):
    return (x*y)//gcd(x,y)
    
tmp = lcm(a, b)
print(tmp)
Problem p02831 (python)

Fixed submission:
from fractions import gcd

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

def lcm(x, y):
    return (x*y)//gcd(x,y)
    
tmp = lcm(a, b)
print(tmp)

Buggy submission (verdict: Runtime Error):
import math

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

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

Buggy submission (verdict: Runtime Error):
import math

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

def lcm(x, y):
    return (x*y)//math.gcd(x,y)
    
print(lcm(a, b))
Problem p02766 (python)

Fixed submission:
N,K=(int(x) for x in input().split())
b=1
a=1
if N==1:
    print(1)
else:
     while a<=N:
          b=b+1
          a=K**b
     else:
          print(b)

Buggy submission (verdict: Runtime Error):
N,K=(int(x) for x in input().split())
k=0
a=K
while a<=N:
    k=+1
    a=K**k
break
print(k+1)

Buggy submission (verdict: Runtime Error):
N,K=(int(x) for x in input().split())
k=0
while a<=x:
    a=K*10**k
    k=+1
print(k)
Problem p03013 (python)

Fixed submission:
#C問題
mod = 10**9+7
N,M = map(int,input().split())

step = []
for i in range(N+2):
    if i <= 1:
        step.append(1)
    elif i == 2:
        step.append(1)
    else:
        step.append(step[i-1]+step[i-2])
    
A = []
for j in range(M):
    A.append(int(input()))

stairs = []
flag = 0
old = -1
for a in A:
    if a-old == 1:
        flag = 1
        break
    else:
        stairs.append(a-old-1)
        old = a
stairs.append(N-old)

if flag == 1:
    print(0)
else:
    #print(stairs)
    ans = 1
    for s in stairs:
        ans*=step[s]
        
    print(ans%mod)

Buggy submission (verdict: Runtime Error):
#C問題
mod = 10**9+7
N,M = map(int,input().split())

step = []
for i in range(N+1):
    if i <= 1:
        step.append(1)
    elif i == 2:
        step.append(1)
    else:
        step.append(step[i-1]+step[i-2])
    
A = []
for j in range(M):
    A.append(int(input()))

stairs = []
nowlen = 1
flag = 0
for i in range(N):
    I = i+1
    if I in A:
        if nowlen == 0:
            flag = 1
            break
        stairs.append(nowlen)
        nowlen = 0
    else:
        nowlen+=1
stairs.append(nowlen)
if flag == 1:
    print(0)
else:
    ans = 1
    for s in stairs:
        ans*=step[s]
        
    print(ans%mod)

Buggy submission (verdict: Runtime Error):
#A問題
N,M = map(int,input().split())
A = []
mod = 1000000007
for i in range(M):
    A.append(int(input()))

sta = []
for i in range(N):
    if i == 0:
        sta.append(1)
    elif i == 1:
        sta.append(1)
    elif i == 2:
        sta.append(2)
    else:
        sta.append(sta[i-1]+sta[i-2])

row = []
now = 1
flag = 0
for i in range(N):
    I = i+1
    if i == 0:
        if I in A:
            now = 0
            flag = 1
        else:
            now+=1
    else:
        if I in A:
            if flag == 1:
                flag = 2
                break
            else:
                row.append(now)
                now = 0
                flag = 1
        else:
            flag = 0
            now+=1

if flag == 2:
    print(0)
else:
    row.append(now)
    ans = 1
    for r in row:
        ans = (ans*sta[r-1])%mod
    print(ans)

Buggy submission (verdict: Runtime Error):
#A問題
N,M = map(int,input().split())
A = []
mod = 1000000007
for i in range(M):
    A.append(int(input()))

sta = []
for i in range(N):
    if i == 0:
        sta.append(1)
    elif i == 1:
        sta.append(1)
    elif i == 2:
        sta.append(2)
    else:
        sta.append(sta[i-1]+sta[i-2])

row = []
now = 1
flag = 0
for i in range(N):
    I = i+1
    if i == 0:
        if I in A:
            now = 0
            flag = 1
        else:
            now+=1
    else:
        if I in A:
            if flag == 1:
                flag = 2
                break
            else:
                row.append(now)
                now = 0
                flag = 1
        else:
            flag = 0
            now+=1
row.append(now)
ans = 1
for r in row:
    ans*=sta[r-1]
if flag == 2:
    print(0)
else:
    print(ans%mod)
Problem p03104 (python)

Fixed submission:
#D問題
A,B = map(int,input().split())
def f(n):
    if n%2 == 0:
        if (n//2)%2 == 0:
            return n
        else:
            return n+1
    else:
        if ((n-1)//2)%2 == 0:
            return 1
        else:
            return 0
        
FB = f(B)
FA = f(A-1)
print(FB^FA)

Buggy submission (verdict: Runtime Error):
import sys
sys.setrecursionlimit(1000000000)
def XOR(n):
    if n == 1:
        return 1
    else:
        return XOR(n-1)^n
A,B=map(int,input().split())
if A>1:
    print(XOR(B)^XOR(A-1))
else:
    if B > 0:
        print(XOR(B))
    else:
        print(0)

Buggy submission (verdict: Runtime Error):
import sys
sys.setrecursionlimit(1000000000)
from functools import lru_cache
@lru_cache(maxsize=1000000000)
def XOR(n):
    if n == 1:
        return 1
    else:
        return XOR(n-1)^n
    
A,B=map(int,input().split())
if A>1:
    print(XOR(B)^XOR(A-1))
else:
    if B > 0:
        print(XOR(B))
    else:
        print(0)

Buggy submission (verdict: Runtime Error):
def XOR(n):
    if n == 1:
        return 1
    else:
        return XOR(n-1)^n
    
A,B=map(int,input().split())
if A>1:
    print(XOR(B)^XOR(A-1))
else:
    print(XOR(B))

Buggy submission (verdict: Runtime Error):
from functools import lru_cache
@lru_cache(maxsize=1000000000)
def XOR(n):
    if n == 1:
        return 1
    else:
        return XOR(n-1)^n
    
A,B=map(int,input().split())
if A>1:
    print(XOR(B)^XOR(A-1))
else:
    print(XOR(B))
Problem p03208 (python)

Fixed submission:
N,K = map(int,input().split(" "))
height = []
for i in range(N):
    height.append(int(input()))
height.sort()
min = 10**9
n = N-K+1
for j in range(n):
    hmin = height[j]
    hmax = height[j+K-1]
    hei = hmax-hmin
    if hei <= min:
        min = hei
print(min)

Buggy submission (verdict: Runtime Error):
N,K = map(int,input().split(" "))
height = []
for i in range(N):
    height.append(int(input()))
height.sort()
min = 10**9
for j in range(K):
    light = height[j:j+K]
    hmin = light[0]
    hmax = light[K-1]
    hei = hmax-hmin
    if hei <= min:
        min = hei
print(min)