Buggy python submission (verdict: Runtime Error):
#!/usr/bin/env python3
import sys
sys.setrecursionlimit(10**6)
input = sys.stdin.readline
MAX_VAL = 14000
OFFSET = MAX_VAL // 2

h, w = [int(item) for item in input().split()]
a = []
b = []
for i in range(h):
    line = [int(item) for item in input().split()] + [0]
    a.append(line)
a.append([0] * (w + 1))
for i in range(h):
    line = [int(item) for item in input().split()] + [0]
    b.append(line)
b.append([0] * (w + 1))

max_f = [[0] * (w+1) for _ in range(h+1)]
min_f = [[0] * (w+1 )for _ in range(h+1)]
# dp[height][width][bias]
dp = [[[0] * MAX_VAL for _ in range(w+1)] for _ in range(h+1)] 
max_f[0][0] = abs(a[0][0] - b[0][0])
min_f[0][0] = -abs(a[0][0] - b[0][0])

dp[0][0][OFFSET + a[0][0] - b[0][0]] = 1
dp[0][0][OFFSET + b[0][0] - a[0][0]] = 1
for i in range(h):
    for j in range(w):
        diffr = a[i][j+1] - b[i][j+1]
        diffd = a[i+1][j] - b[i+1][j]
        max_f[i][j+1] = max(max_f[i][j+1], max_f[i][j] + diffr)
        min_f[i][j+1] = min(min_f[i][j+1], min_f[i][j] - diffr)
        max_f[i+1][j] = max(max_f[i+1][j], max_f[i][j] + diffd)
        min_f[i+1][j] = min(min_f[i+1][j], min_f[i][j] - diffd)

        max_f[i][j+1] = min(OFFSET-10, max_f[i][j+1])
        min_f[i][j+1] = min(-OFFSET+10, min_f[i][j+1])
        max_f[i+1][j] = min(OFFSET-10, max_f[i+1][j])
        min_f[i+1][j] = min(-OFFSET+10, min_f[i+1][j])

        for k in range(OFFSET + min_f[i][j] - 1, OFFSET + max_f[i][j] + 1):
            if dp[i][j][k] == 0:
                continue
            # Move right
            dp[i][j+1][k+diffr] = 1
            dp[i][j+1][k-diffr] = 1
            # Move down
            dp[i+1][j][k+diffd] = 1
            dp[i+1][j][k-diffd] = 1
ans = 10**9
for i, item in enumerate(dp[h-1][w-1]):
    if item == 1:
        ans = min(ans, abs(i - OFFSET))
print(ans)

Fixed submission:
#!/usr/bin/env python3
import sys
input = sys.stdin.readline
MAX_VAL = 12800
 
h, w = [int(item) for item in input().split()]
a = []
b = []
for i in range(h):
    line = [int(item) for item in input().split()] + [0]
    a.append(line)
a.append([0] * (w + 1))
for i in range(h):
    line = [int(item) for item in input().split()] + [0]
    b.append(line)
b.append([0] * (w + 1))
 
# dp[height][width] bitset
dp = [[0] * (w+1) for _ in range(h+1)] 
delta = abs(a[0][0] - b[0][0])
dp[0][0] |= 1 << (MAX_VAL + delta)
dp[0][0] |= 1 << (MAX_VAL - delta)
for i in range(h):
    for j in range(w):
        diffr = abs(a[i][j+1] - b[i][j+1])
        diffd = abs(a[i+1][j] - b[i+1][j])
        # Move right
        add_delta = dp[i][j] << diffr
        sub_delta = dp[i][j] >> diffr
        dp[i][j+1] |= add_delta | sub_delta
        # Move down
        add_delta = dp[i][j] << diffd
        sub_delta = dp[i][j] >> diffd
        dp[i+1][j] |= add_delta | sub_delta
ans = MAX_VAL
for i in range(MAX_VAL * 2):
    if dp[h-1][w-1] & (1 << i):
        ans = min(ans, abs(i - MAX_VAL))
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
#!/usr/bin/env python3
import sys
sys.setrecursionlimit(10**6)
input = sys.stdin.readline
MAX_VAL = 10000
OFFSET = MAX_VAL // 2

h, w = [int(item) for item in input().split()]
a = []
b = []
for i in range(h):
    line = [int(item) for item in input().split()] + [0]
    a.append(line)
a.append([0] * (w + 1))
for i in range(h):
    line = [int(item) for item in input().split()] + [0]
    b.append(line)
b.append([0] * (w + 1))

# dp[height][width][bias]
dp = [[set() for _ in range(w+1)] for _ in range(h+1)] 
dp[0][0].add(a[0][0] - b[0][0])
dp[0][0].add(b[0][0] - a[0][0])
for i in range(h):
    for j in range(w):
        diffr = a[i][j+1] - b[i][j+1]
        diffd = a[i+1][j] - b[i+1][j]
        for item in dp[i][j]:
            # Move right
            dp[i][j+1].add(item+diffr)
            dp[i][j+1].add(item-diffr)
            # Move down
            dp[i+1][j].add(item+diffd)
            dp[i+1][j].add(item-diffd)
ans = 10**9
for item in dp[h-1][w-1]:
    ans = min(ans, abs(item))
print(ans)

Fixed submission:
#!/usr/bin/env python3
import sys
input = sys.stdin.readline
MAX_VAL = 12800
 
h, w = [int(item) for item in input().split()]
a = []
b = []
for i in range(h):
    line = [int(item) for item in input().split()] + [0]
    a.append(line)
a.append([0] * (w + 1))
for i in range(h):
    line = [int(item) for item in input().split()] + [0]
    b.append(line)
b.append([0] * (w + 1))
 
# dp[height][width] bitset
dp = [[0] * (w+1) for _ in range(h+1)] 
delta = abs(a[0][0] - b[0][0])
dp[0][0] |= 1 << (MAX_VAL + delta)
dp[0][0] |= 1 << (MAX_VAL - delta)
for i in range(h):
    for j in range(w):
        diffr = abs(a[i][j+1] - b[i][j+1])
        diffd = abs(a[i+1][j] - b[i+1][j])
        # Move right
        add_delta = dp[i][j] << diffr
        sub_delta = dp[i][j] >> diffr
        dp[i][j+1] |= add_delta | sub_delta
        # Move down
        add_delta = dp[i][j] << diffd
        sub_delta = dp[i][j] >> diffd
        dp[i+1][j] |= add_delta | sub_delta
ans = MAX_VAL
for i in range(MAX_VAL * 2):
    if dp[h-1][w-1] & (1 << i):
        ans = min(ans, abs(i - MAX_VAL))
print(ans)