Problem: There is a circular pond with a perimeter of K meters, and N houses around them.  The i-th house is built at a distance of A_i meters from the northmost point of the pond, measured clockwise around the pond.  When traveling between these houses, you can only go around the pond.  Find the minimum distance that needs to be traveled when you start at one of the houses and visit all the N houses.

Submission attempts (in order):
import sys
import numpy as np

sys.setrecursionlimit(10 ** 6)
int1 = lambda x: int(x) - 1
printV = lambda x: print(*x, sep="\n")
printH = lambda x: print(" ".join(map(str,x)))
def IS(): return sys.stdin.readline()[:-1]
def II(): return int(sys.stdin.readline())
def MI(): return map(int, sys.stdin.readline().split())
def LI(): return list(map(int, sys.stdin.readline().split()))
def LI1(): return list(map(int1, sys.stdin.readline().split()))
def LII(rows_number): return [II() for _ in range(rows_number)]
def LLI(rows_number): return [LI() for _ in range(rows_number)]
def LLI1(rows_number): return [LI1() for _ in range(rows_number)]

def main():
	K,N = MI()
	A = np.array(LI())
	A_LAST = K+A[0] - A[N-1]
	A[1:] = A[1:]-A[:N-1]
	np.sort(A)
	print(K-max(A[N-1],A_LAST)-A[0])

if __name__ == '__main__':
	main()

import sys
import numpy as np

sys.setrecursionlimit(10 ** 6)
int1 = lambda x: int(x) - 1
printV = lambda x: print(*x, sep="\n")
printH = lambda x: print(" ".join(map(str,x)))
def IS(): return sys.stdin.readline()[:-1]
def II(): return int(sys.stdin.readline())
def MI(): return map(int, sys.stdin.readline().split())
def LI(): return list(map(int, sys.stdin.readline().split()))
def LI1(): return list(map(int1, sys.stdin.readline().split()))
def LII(rows_number): return [II() for _ in range(rows_number)]
def LLI(rows_number): return [LI() for _ in range(rows_number)]
def LLI1(rows_number): return [LI1() for _ in range(rows_number)]

def main():
	K,N = MI()
	A = np.array(LI())
	A_LAST = K - A[N-1]
	A[1:] = A[1:]-A[:N-1]
	np.sort(A)
	print(sum(A)+A_LAST-max(A[N-1],A_LAST))

if __name__ == '__main__':
	main()

import sys
import numpy as np

sys.setrecursionlimit(10 ** 6)
int1 = lambda x: int(x) - 1
printV = lambda x: print(*x, sep="\n")
printH = lambda x: print(" ".join(map(str,x)))
def IS(): return sys.stdin.readline()[:-1]
def II(): return int(sys.stdin.readline())
def MI(): return map(int, sys.stdin.readline().split())
def LI(): return list(map(int, sys.stdin.readline().split()))
def LI1(): return list(map(int1, sys.stdin.readline().split()))
def LII(rows_number): return [II() for _ in range(rows_number)]
def LLI(rows_number): return [LI() for _ in range(rows_number)]
def LLI1(rows_number): return [LI1() for _ in range(rows_number)]

def main():
	K,N = MI()
	A = np.array(LI())
	A_LAST = K - A[N-1]
	A[1:] = A[1:]-A[:N-1]
	np.sort(A)
	print(K-max(A[N-1],A_LAST))

if __name__ == '__main__':
	main()

import sys

sys.setrecursionlimit(10 ** 6)
int1 = lambda x: int(x) - 1
printV = lambda x: print(*x, sep="\n")
printH = lambda x: print(" ".join(map(str,x)))
def IS(): return sys.stdin.readline()[:-1]
def II(): return int(sys.stdin.readline())
def MI(): return map(int, sys.stdin.readline().split())
def LI(): return list(map(int, sys.stdin.readline().split()))
def LI1(): return list(map(int1, sys.stdin.readline().split()))
def LII(rows_number): return [II() for _ in range(rows_number)]
def LLI(rows_number): return [LI() for _ in range(rows_number)]
def LLI1(rows_number): return [LI1() for _ in range(rows_number)]

def main():
	k,n = MI()
	a = LI()
	b = [0]*n
	for i in range(n):
		if i == n-1:
			b[i] = a[0]+k-a[i]
		else:
			b[i] = a[i+1]-a[i]
	b.sort()
	print(k-b[-1])


if __name__ == '__main__':
	main()

Verdicts: Wrong Answer

Wrong Answer

Wrong Answer

Accepted