Buggy python submission (verdict: Time Limit Exceeded):
import collections, itertools, sys
import numpy as np
input = lambda: sys.stdin.readline().rstrip() 
sys.setrecursionlimit(10**7)
INF = float('inf')
def I(): return int(input())
def F(): return float(input())
def S(): return input()
def LI(): return [int(x) for x in input().split()]
def LI_(): return [int(x)-1 for x in input().split()]
def LF(): return [float(x) for x in input().split()]
def LS(): return input().split()

def resolve():
    N, K = LI()
    xy = [LI() for _ in range(N)]

    # x, y全ての重複あり組み合わせに対して含まれる点の個数を算出する

    x_cnt = collections.Counter([i[0] for i in xy])
    x_coordinate = np.array(list((x_cnt.keys())))
    x_coordinate.sort()
    len_x_c = len(x_coordinate)
    y_cnt = collections.Counter([i[1] for i in xy])
    y_coordinate = np.array(list(y_cnt.keys()))
    y_coordinate.sort()
    len_y_c = len(y_coordinate)

    ans = INF
    for k in range(len_x_c - 1):
        xl = x_coordinate[k]
        for l in range(k + 1, len_y_c):
            xh = x_coordinate[l]
            # 4番目の辺の探索は、個数条件を満たしたら終了していよい
            for i in range(len_y_c - 1):
                yl = y_coordinate[i]
                for j in range(i + 1, len_y_c):
                    yh = y_coordinate[j]
                    cnt = len([(i, j) for i, j in xy if xl <= i <= xh and yl <= j <= yh])
                    if cnt >= K:
                        ans = min((xh - xl) * (yh - yl), ans)
                        break

    print(ans)

if __name__ == '__main__':
    resolve()


Fixed submission:
import collections, itertools, sys
input = lambda: sys.stdin.readline().rstrip() 
sys.setrecursionlimit(10**7)
INF = float('inf')
def I(): return int(input())
def F(): return float(input())
def S(): return input()
def LI(): return [int(x) for x in input().split()]
def LI_(): return [int(x)-1 for x in input().split()]
def LF(): return [float(x) for x in input().split()]
def LS(): return input().split()

def resolve():
    N, K = LI()
    xy = [LI() for _ in range(N)]

    # x, y全ての重複あり組み合わせに対して含まれる点の個数を算出する

    x_cnt = collections.Counter([i[0] for i in xy])
    x_coordinate = list(x_cnt.keys())
    x_coordinate.sort()
    # len_x_c = len(x_coordinate)
    y_cnt = collections.Counter([i[1] for i in xy])
    y_coordinate = list(y_cnt.keys())
    y_coordinate.sort()
    len_y_c = len(y_coordinate)

    ans = INF
    for xl, xh in itertools.combinations(x_coordinate, 2):
        # 4番目の辺の探索は、個数条件を満たしたら終了していよい
        for i in range(len_y_c - 1):
            yl = y_coordinate[i]
            for j in range(i + 1, len_y_c):
                yh = y_coordinate[j]
                cnt = len([(i, j) for i, j in xy if xl <= i <= xh and yl <= j <= yh])
                if cnt >= K:
                    ans = min((xh - xl) * (yh - yl), ans)
                    break

    print(ans)

if __name__ == '__main__':
    resolve()

Buggy python submission (verdict: Time Limit Exceeded):
import collections, itertools, sys
import numpy as np
input = lambda: sys.stdin.readline().rstrip() 
sys.setrecursionlimit(10**7)
INF = float('inf')
def I(): return int(input())
def F(): return float(input())
def S(): return input()
def LI(): return [int(x) for x in input().split()]
def LI_(): return [int(x)-1 for x in input().split()]
def LF(): return [float(x) for x in input().split()]
def LS(): return input().split()

def resolve():
    N, K = LI()
    xy = [LI() for _ in range(N)]

    # x, y全ての重複あり組み合わせに対して含まれる点の個数を算出する

    x_cnt = collections.Counter([i[0] for i in xy])
    x_coordinate = np.array(list((x_cnt.keys())))
    x_coordinate.sort()
    # len_x_c = len(x_coordinate)
    y_cnt = collections.Counter([i[1] for i in xy])
    y_coordinate = np.array(list(y_cnt.keys()))
    y_coordinate.sort()
    len_y_c = len(y_coordinate)

    ans = INF
    for xl, xh in itertools.combinations(x_coordinate, 2):
        # 4番目の辺の探索は、個数条件を満たしたら終了していよい
        for i in range(len_y_c - 1):
            yl = y_coordinate[i]
            for j in range(i + 1, len_y_c):
                yh = y_coordinate[j]
                cnt = len([(i, j) for i, j in xy if xl <= i <= xh and yl <= j <= yh])
                if cnt >= K:
                    ans = min((xh - xl) * (yh - yl), ans)
                    break

    print(ans)

if __name__ == '__main__':
    resolve()


Fixed submission:
import collections, itertools, sys
input = lambda: sys.stdin.readline().rstrip() 
sys.setrecursionlimit(10**7)
INF = float('inf')
def I(): return int(input())
def F(): return float(input())
def S(): return input()
def LI(): return [int(x) for x in input().split()]
def LI_(): return [int(x)-1 for x in input().split()]
def LF(): return [float(x) for x in input().split()]
def LS(): return input().split()

def resolve():
    N, K = LI()
    xy = [LI() for _ in range(N)]

    # x, y全ての重複あり組み合わせに対して含まれる点の個数を算出する

    x_cnt = collections.Counter([i[0] for i in xy])
    x_coordinate = list(x_cnt.keys())
    x_coordinate.sort()
    # len_x_c = len(x_coordinate)
    y_cnt = collections.Counter([i[1] for i in xy])
    y_coordinate = list(y_cnt.keys())
    y_coordinate.sort()
    len_y_c = len(y_coordinate)

    ans = INF
    for xl, xh in itertools.combinations(x_coordinate, 2):
        # 4番目の辺の探索は、個数条件を満たしたら終了していよい
        for i in range(len_y_c - 1):
            yl = y_coordinate[i]
            for j in range(i + 1, len_y_c):
                yh = y_coordinate[j]
                cnt = len([(i, j) for i, j in xy if xl <= i <= xh and yl <= j <= yh])
                if cnt >= K:
                    ans = min((xh - xl) * (yh - yl), ans)
                    break

    print(ans)

if __name__ == '__main__':
    resolve()

Buggy python submission (verdict: Time Limit Exceeded):
import collections, itertools, sys
input = lambda: sys.stdin.readline().rstrip() 
sys.setrecursionlimit(10**7)
INF = float('inf')
def I(): return int(input())
def F(): return float(input())
def S(): return input()
def LI(): return [int(x) for x in input().split()]
def LI_(): return [int(x)-1 for x in input().split()]
def LF(): return [float(x) for x in input().split()]
def LS(): return input().split()

def resolve():
    N, K = LI()
    xy = [LI() for _ in range(N)]

    # x, y全ての重複あり組み合わせに対して含まれる点の個数を算出する

    x_cnt = collections.Counter([i[0] for i in xy])
    x_coordinate = list(x_cnt.keys())
    x_coordinate.sort()
    # len_x_c = len(x_coordinate)
    y_cnt = collections.Counter([i[1] for i in xy])
    y_coordinate = list(y_cnt.keys())
    y_coordinate.sort()
    len_y_c = len(y_coordinate)

    ans = INF
    for xl, xh in itertools.combinations(x_coordinate, 2):
        # 4番目の辺の探索は、個数条件を満たしたら終了していよい
        for i in range(len_y_c - 1):
            yl = y_coordinate[i]
            for j in range(i + 1, len_y_c):
                yh = y_coordinate[j]
                cnt = len([(i, j) for i, j in xy if xl <= i <= xh and yl <= j <= yh])
                if cnt >= K:
                    ans = min((xh - xl) * (yh - yl), ans)
                    break

    print(ans)

if __name__ == '__main__':
    resolve()


Fixed submission:
import collections, itertools, sys
input = lambda: sys.stdin.readline().rstrip() 
sys.setrecursionlimit(10**7)
INF = float('inf')
def I(): return int(input())
def F(): return float(input())
def S(): return input()
def LI(): return [int(x) for x in input().split()]
def LI_(): return [int(x)-1 for x in input().split()]
def LF(): return [float(x) for x in input().split()]
def LS(): return input().split()

def resolve():
    N, K = LI()
    xy = [LI() for _ in range(N)]

    # x, y全ての重複あり組み合わせに対して含まれる点の個数を算出する

    x_cnt = collections.Counter([i[0] for i in xy])
    x_coordinate = list(x_cnt.keys())
    x_coordinate.sort()
    # len_x_c = len(x_coordinate)
    y_cnt = collections.Counter([i[1] for i in xy])
    y_coordinate = list(y_cnt.keys())
    y_coordinate.sort()
    len_y_c = len(y_coordinate)

    ans = INF
    for xl, xh in itertools.combinations(x_coordinate, 2):
        # 4番目の辺の探索は、個数条件を満たしたら終了していよい
        for i in range(len_y_c - 1):
            yl = y_coordinate[i]
            for j in range(i + 1, len_y_c):
                yh = y_coordinate[j]
                cnt = len([(i, j) for i, j in xy if xl <= i <= xh and yl <= j <= yh])
                if cnt >= K:
                    ans = min((xh - xl) * (yh - yl), ans)
                    break

    print(ans)

if __name__ == '__main__':
    resolve()

Buggy python submission (verdict: Time Limit Exceeded):
import collections, itertools, sys
input = lambda: sys.stdin.readline().rstrip() 
sys.setrecursionlimit(10**7)
INF = float('inf')
def I(): return int(input())
def F(): return float(input())
def S(): return input()
def LI(): return [int(x) for x in input().split()]
def LI_(): return [int(x)-1 for x in input().split()]
def LF(): return [float(x) for x in input().split()]
def LS(): return input().split()

def resolve():
    N, K = LI()
    xy = [LI() for _ in range(N)]

    # x, y全ての重複あり組み合わせに対して含まれる点の個数を算出する

    x_cnt = collections.Counter([i[0] for i in xy])
    x_coordinate = list(x_cnt.keys())
    x_coordinate.sort()
    y_cnt = collections.Counter([i[1] for i in xy])
    y_coordinate = list(y_cnt.keys())
    y_coordinate.sort()

    ans = INF
    for x0, x1 in itertools.combinations_with_replacement(x_coordinate, 2):
        for y0, y1 in itertools.combinations_with_replacement(y_coordinate, 2):
            cnt = len([(i, j) for i, j in xy if x0 <= i <= x1 and y0 <= j <= y1])
            if cnt >= K:
                ans = min((x1 - x0) * (y1 - y0), ans)

    print(ans)

if __name__ == '__main__':
    resolve()


Fixed submission:
import collections, itertools, sys
input = lambda: sys.stdin.readline().rstrip() 
sys.setrecursionlimit(10**7)
INF = float('inf')
def I(): return int(input())
def F(): return float(input())
def S(): return input()
def LI(): return [int(x) for x in input().split()]
def LI_(): return [int(x)-1 for x in input().split()]
def LF(): return [float(x) for x in input().split()]
def LS(): return input().split()

def resolve():
    N, K = LI()
    xy = [LI() for _ in range(N)]

    # x, y全ての重複あり組み合わせに対して含まれる点の個数を算出する

    x_cnt = collections.Counter([i[0] for i in xy])
    x_coordinate = list(x_cnt.keys())
    x_coordinate.sort()
    # len_x_c = len(x_coordinate)
    y_cnt = collections.Counter([i[1] for i in xy])
    y_coordinate = list(y_cnt.keys())
    y_coordinate.sort()
    len_y_c = len(y_coordinate)

    ans = INF
    for xl, xh in itertools.combinations(x_coordinate, 2):
        # 4番目の辺の探索は、個数条件を満たしたら終了していよい
        for i in range(len_y_c - 1):
            yl = y_coordinate[i]
            for j in range(i + 1, len_y_c):
                yh = y_coordinate[j]
                cnt = len([(i, j) for i, j in xy if xl <= i <= xh and yl <= j <= yh])
                if cnt >= K:
                    ans = min((xh - xl) * (yh - yl), ans)
                    break

    print(ans)

if __name__ == '__main__':
    resolve()

Buggy python submission (verdict: Time Limit Exceeded):
import sys, itertools, collections
input = lambda: sys.stdin.readline().rstrip() 
sys.setrecursionlimit(10**7)
INF = float('inf')
def I(): return int(input())
def F(): return float(input())
def S(): return input()
def LI(): return [int(x) for x in input().split()]
def LI_(): return [int(x)-1 for x in input().split()]
def LF(): return [float(x) for x in input().split()]
def LS(): return input().split()

def resolve():
    N, K = LI()
    xy = [LI() for _ in range(N)]

    # x, y全ての重複あり組み合わせに対して含まれる点の個数を算出する

    x_cnt = collections.Counter([i[0] for i in xy])
    x_coordinate = list(x_cnt.keys())
    x_coordinate.sort()
    y_cnt = collections.Counter([i[1] for i in xy])
    y_coordinate = list(y_cnt.keys())
    y_coordinate.sort()

    ans = INF
    for x0, x1 in itertools.combinations_with_replacement(x_coordinate, 2):
        for y0, y1 in itertools.combinations_with_replacement(y_coordinate, 2):
            cnt = len([(i, j) for i, j in xy if x0 <= i <= x1 and y0 <= j <= y1])
            if cnt >= K:
                ans = min((x1 - x0) * (y1 - y0), ans)

    print(ans)

if __name__ == '__main__':
    resolve()


Fixed submission:
import collections, itertools, sys
input = lambda: sys.stdin.readline().rstrip() 
sys.setrecursionlimit(10**7)
INF = float('inf')
def I(): return int(input())
def F(): return float(input())
def S(): return input()
def LI(): return [int(x) for x in input().split()]
def LI_(): return [int(x)-1 for x in input().split()]
def LF(): return [float(x) for x in input().split()]
def LS(): return input().split()

def resolve():
    N, K = LI()
    xy = [LI() for _ in range(N)]

    # x, y全ての重複あり組み合わせに対して含まれる点の個数を算出する

    x_cnt = collections.Counter([i[0] for i in xy])
    x_coordinate = list(x_cnt.keys())
    x_coordinate.sort()
    # len_x_c = len(x_coordinate)
    y_cnt = collections.Counter([i[1] for i in xy])
    y_coordinate = list(y_cnt.keys())
    y_coordinate.sort()
    len_y_c = len(y_coordinate)

    ans = INF
    for xl, xh in itertools.combinations(x_coordinate, 2):
        # 4番目の辺の探索は、個数条件を満たしたら終了していよい
        for i in range(len_y_c - 1):
            yl = y_coordinate[i]
            for j in range(i + 1, len_y_c):
                yh = y_coordinate[j]
                cnt = len([(i, j) for i, j in xy if xl <= i <= xh and yl <= j <= yh])
                if cnt >= K:
                    ans = min((xh - xl) * (yh - yl), ans)
                    break

    print(ans)

if __name__ == '__main__':
    resolve()