oj.uz

Submission #647111

# Submission time Handle Problem Language Result Execution time Memory
647111 2022-10-01T15:30:49 Z beaconmc The Kingdom of JOIOI (JOI17_joioi) Python 3
60 / 100
 4000 ms 216260 KB 
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))

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 3412 KB Output is correct
2 Correct 18 ms 3280 KB Output is correct
3 Correct 25 ms 3336 KB Output is correct
4 Correct 27 ms 3336 KB Output is correct
5 Correct 30 ms 3252 KB Output is correct
6 Correct 29 ms 3284 KB Output is correct
7 Correct 25 ms 3284 KB Output is correct
8 Correct 26 ms 3284 KB Output is correct
9 Correct 22 ms 3368 KB Output is correct
10 Correct 24 ms 3360 KB Output is correct
11 Correct 25 ms 3284 KB Output is correct
12 Correct 27 ms 3356 KB Output is correct
13 Correct 33 ms 3280 KB Output is correct
14 Correct 27 ms 3384 KB Output is correct

Subtask #2
45.0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 3412 KB Output is correct
2 Correct 18 ms 3280 KB Output is correct
3 Correct 25 ms 3336 KB Output is correct
4 Correct 27 ms 3336 KB Output is correct
5 Correct 30 ms 3252 KB Output is correct
6 Correct 29 ms 3284 KB Output is correct
7 Correct 25 ms 3284 KB Output is correct
8 Correct 26 ms 3284 KB Output is correct
9 Correct 22 ms 3368 KB Output is correct
10 Correct 24 ms 3360 KB Output is correct
11 Correct 25 ms 3284 KB Output is correct
12 Correct 27 ms 3356 KB Output is correct
13 Correct 33 ms 3280 KB Output is correct
14 Correct 27 ms 3384 KB Output is correct
15 Correct 91 ms 3848 KB Output is correct
16 Correct 1113 ms 13192 KB Output is correct
17 Correct 2090 ms 15404 KB Output is correct
18 Correct 2412 ms 15388 KB Output is correct
19 Correct 2445 ms 15508 KB Output is correct
20 Correct 2205 ms 13984 KB Output is correct
21 Correct 2356 ms 15504 KB Output is correct
22 Correct 2973 ms 15388 KB Output is correct
23 Correct 3027 ms 15508 KB Output is correct
24 Correct 2792 ms 14104 KB Output is correct
25 Correct 2816 ms 15436 KB Output is correct
26 Correct 2561 ms 15428 KB Output is correct
27 Correct 2519 ms 15504 KB Output is correct
28 Correct 2227 ms 15508 KB Output is correct

Subtask #3
0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 3412 KB Output is correct
2 Correct 18 ms 3280 KB Output is correct
3 Correct 25 ms 3336 KB Output is correct
4 Correct 27 ms 3336 KB Output is correct
5 Correct 30 ms 3252 KB Output is correct
6 Correct 29 ms 3284 KB Output is correct
7 Correct 25 ms 3284 KB Output is correct
8 Correct 26 ms 3284 KB Output is correct
9 Correct 22 ms 3368 KB Output is correct
10 Correct 24 ms 3360 KB Output is correct
11 Correct 25 ms 3284 KB Output is correct
12 Correct 27 ms 3356 KB Output is correct
13 Correct 33 ms 3280 KB Output is correct
14 Correct 27 ms 3384 KB Output is correct
15 Correct 91 ms 3848 KB Output is correct
16 Correct 1113 ms 13192 KB Output is correct
17 Correct 2090 ms 15404 KB Output is correct
18 Correct 2412 ms 15388 KB Output is correct
19 Correct 2445 ms 15508 KB Output is correct
20 Correct 2205 ms 13984 KB Output is correct
21 Correct 2356 ms 15504 KB Output is correct
22 Correct 2973 ms 15388 KB Output is correct
23 Correct 3027 ms 15508 KB Output is correct
24 Correct 2792 ms 14104 KB Output is correct
25 Correct 2816 ms 15436 KB Output is correct
26 Correct 2561 ms 15428 KB Output is correct
27 Correct 2519 ms 15504 KB Output is correct
28 Correct 2227 ms 15508 KB Output is correct
29 Execution timed out 4067 ms 216260 KB Time limit exceeded
30 Halted 0 ms 0 KB -