# | 제출 시각 | 아이디 | 문제 | 언어 | 결과 | 실행 시간 | 메모리 |
---|---|---|---|---|---|---|---|
647107 | beaconmc | The Kingdom of JOIOI (JOI17_joioi) | C++14 | 0 ms | 0 KiB |
이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
from copy import *
n,m = map(int, input().split())
grid = [list(map(int, input().split()))for i in range(n)]
grid2 = [[0 for i in range(m)]for i in range(n)]
mx = -1
for i in range(n):
for j in range(m):
mx = max(mx, grid[i][j])
grid2[i][j] = grid[n-i-1][m-j-1]
minmaxl = [[[float("inf"), -1]for i in range(m)]for i in range(n)]
minmaxr = [[[float("inf"), -1]for i in range(m)]for i in range(n)]
def setup():
for i in range(n-1,-1,-1):
minmaxl[i][0] = [grid[i][0], grid[i][0]]
for j in range(1,m):
minmaxl[i][j][0] = min(minmaxl[i][j-1][0], grid[i][j])
minmaxl[i][j][1] = max(minmaxl[i][j-1][1], grid[i][j])
if i != n-1:
for j in range(m):
minmaxl[i][j][0] = min(minmaxl[i][j][0], minmaxl[i+1][j][0])
minmaxl[i][j][1] = max(minmaxl[i][j][1], minmaxl[i+1][j][1])
for i in range(n-1,-1,-1):
minmaxr[i][m-1] = [grid[i][m-1], grid[i][m-1]]
for j in range(m-2,-1,-1):
minmaxr[i][j][0] = min(minmaxr[i][j+1][0], grid[i][j])
minmaxr[i][j][1] = max(minmaxr[i][j+1][1], grid[i][j])
if i != n-1:
for j in range(m-1,-1,-1):
minmaxr[i][j][0] = min(minmaxr[i][j][0], minmaxr[i+1][j][0])
minmaxr[i][j][1] = max(minmaxr[i][j][1], minmaxr[i+1][j][1])
def check(a):
mini = float("inf")
maxi = -1
for i in range(n):
for j in range(m):
if mx - minmaxl[i][j][0] > a:
mini = min(mini, grid[i][j])
maxi = max(maxi, grid[i][j])
if maxi - mini <= a:
return True
mini = float("inf")
maxi = -1
for i in range(n):
for j in range(m):
if mx - minmaxr[i][j][0] > a:
mini = min(mini, grid[i][j])
maxi = max(maxi, grid[i][j])
if maxi - mini <= a:
return True
return False
setup()
lo = 0
hi = 10000000000
while (lo<hi):
mid = (lo+hi)//2
if check(mid):
hi = mid
else:
lo = mid+1
ans = lo
grid = deepcopy(grid2)
setup()
lo = 0
hi = 10000000000
while (lo<hi):
mid = (lo+hi)//2
if check(mid):
hi = mid
else:
lo = mid+1
print(min(ans,lo))