Buggy python submission (verdict: Time Limit Exceeded):
#import numpy as np
import math
import collections
import bisect


def main():
    a, b, c, d = map(int, input().split())

    dp0 = [[1 for i in range(d + 1)] for j in range(c + 1)]
    dp1 = [[0 for i in range(d + 1)] for j in range(c + 1)]
    for i in range(c + 1):
        for j in range(d + 1):
            if j < b or i < a:
                dp0[i][j] = 0
                dp1[i][j] = 0
    for i in range(a, c + 1):
        for j in range(b, d + 1):
            # print(i, j, dp[i][j])
            if a == i and b == j:
                continue
            dp0[i][j] = ((i * dp0[i][j - 1]) % 998244353 + dp1[i][j - 1]) % 998244353
            dp1[i][j] = (j * (dp0[i - 1][j] + dp1[i - 1][j]) % 998244353) % 998244353

    print((dp0[c][d] + dp1[c][d]) % 998244353)


if __name__ == '__main__':
    main()


Fixed submission:
#import numpy as np
import math
import collections
import bisect


def main():
    a, b, c, d = map(int, input().split())

    dp0 = [[1 for i in range(d + 1)] for j in range(c + 1)]
    dp1 = [[0 for i in range(d + 1)] for j in range(c + 1)]
    for i in range(c + 1):
        for j in range(d + 1):
            if j < b or i < a:
                dp0[i][j] = 0
                dp1[i][j] = 0
    for i in range(a, c + 1):
        for j in range(b, d + 1):
            # print(i, j, dp[i][j])
            if a == i and b == j:
                continue
            dp0[i][j] = ((i * dp0[i][j - 1]) % 998244353 + dp1[i][j - 1]) % 998244353
            dp1[i][j] = (j * (dp0[i - 1][j] + dp1[i - 1][j]) % 998244353) % 998244353

    print((dp0[c][d] + dp1[c][d]) % 998244353)


if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
#import numpy as np
import math
import collections
import bisect


a, b, c, d = map(int, input().split())

dp0 = [[1 for i in range(d + 1)] for j in range(c + 1)]
dp1 = [[0 for i in range(d + 1)] for j in range(c + 1)]
for i in range(c + 1):
    for j in range(d + 1):
        if j < b or i < a:
            dp0[i][j] = 0
            dp1[i][j] = 0
for i in range(a, c + 1):
    for j in range(b, d + 1):
        # print(i, j, dp[i][j])
        if a == i and b == j:
            continue
        dp0[i][j] = ((i * dp0[i][j - 1]) % 998244353 + dp1[i][j - 1]) % 998244353
        dp1[i][j] = (j * (dp0[i - 1][j] + dp1[i - 1][j]) % 998244353) % 998244353

print((dp0[c][d] + dp1[c][d]) % 998244353)


Fixed submission:
#import numpy as np
import math
import collections
import bisect


def main():
    a, b, c, d = map(int, input().split())

    dp0 = [[1 for i in range(d + 1)] for j in range(c + 1)]
    dp1 = [[0 for i in range(d + 1)] for j in range(c + 1)]
    for i in range(c + 1):
        for j in range(d + 1):
            if j < b or i < a:
                dp0[i][j] = 0
                dp1[i][j] = 0
    for i in range(a, c + 1):
        for j in range(b, d + 1):
            # print(i, j, dp[i][j])
            if a == i and b == j:
                continue
            dp0[i][j] = ((i * dp0[i][j - 1]) % 998244353 + dp1[i][j - 1]) % 998244353
            dp1[i][j] = (j * (dp0[i - 1][j] + dp1[i - 1][j]) % 998244353) % 998244353

    print((dp0[c][d] + dp1[c][d]) % 998244353)


if __name__ == '__main__':
    main()

Buggy python submission (verdict: Runtime Error):
import numpy as np
import math
import collections
import bisect
 
 
def main():
    a, b, c, d = map(int, input().split())
 
    dp = [[[1 for k in range(2)] for i in range(d + 1)] for j in range(c + 1)]
    for k in range(2):
        for i in range(c + 1):
            for j in range(d + 1):
                dp[i][j][1] = 0
                if j < b or i < a:
                    dp[i][j][k] = 0
 
    for i in range(a, c + 1):
        for j in range(b, d + 1):
            # print(i, j, dp[i][j])
            if a == i and b == j:
                continue
            dp[i][j][0] = ((i * dp[i][j - 1][0]) % 998244353 + dp[i][j - 1][1]) % 998244353
            dp[i][j][1] = (j * (dp[i - 1][j][0] + dp[i - 1][j][1]) % 998244353) % 998244353
 
    print((dp[c][d][0] + dp[c][d][1]) % 998244353)
 
 
if __name__ == '__main__':
    main()

Fixed submission:
#import numpy as np
import math
import collections
import bisect


def main():
    a, b, c, d = map(int, input().split())

    dp0 = [[1 for i in range(d + 1)] for j in range(c + 1)]
    dp1 = [[0 for i in range(d + 1)] for j in range(c + 1)]
    for i in range(c + 1):
        for j in range(d + 1):
            if j < b or i < a:
                dp0[i][j] = 0
                dp1[i][j] = 0
    for i in range(a, c + 1):
        for j in range(b, d + 1):
            # print(i, j, dp[i][j])
            if a == i and b == j:
                continue
            dp0[i][j] = ((i * dp0[i][j - 1]) % 998244353 + dp1[i][j - 1]) % 998244353
            dp1[i][j] = (j * (dp0[i - 1][j] + dp1[i - 1][j]) % 998244353) % 998244353

    print((dp0[c][d] + dp1[c][d]) % 998244353)


if __name__ == '__main__':
    main()

Buggy python submission (verdict: Runtime Error):
import numpy as np
import math
import collections
import bisect
 
 
def main():
    a, b, c, d = map(int, input().split())
 
    dp = [[[1 for k in range(2)] for i in range(d + 1)] for j in range(c + 1)]
    for k in range(2):
        for i in range(c + 1):
            for j in range(d + 1):
                dp[i][j][1] = 0
                if j < b or i < a:
                    dp[i][j][k] = 0
 
    for i in range(a, c + 1):
        for j in range(b, d + 1):
            # print(i, j, dp[i][j])
            if a == i and b == j:
                continue
            dp[i][j][0] = ((i * dp[i][j - 1][0]) % 998244353 + dp[i][j - 1][1]) % 998244353
            dp[i][j][1] = (j * (dp[i - 1][j][0] + dp[i - 1][j][1]) % 998244353) % 998244353
 
    print((dp[c][d][0] + dp[c][d][1]) % 998244353)
 
 
if __name__ == '__main__':
    main()

Fixed submission:
#import numpy as np
import math
import collections
import bisect


def main():
    a, b, c, d = map(int, input().split())

    dp0 = [[1 for i in range(d + 1)] for j in range(c + 1)]
    dp1 = [[0 for i in range(d + 1)] for j in range(c + 1)]
    for i in range(c + 1):
        for j in range(d + 1):
            if j < b or i < a:
                dp0[i][j] = 0
                dp1[i][j] = 0
    for i in range(a, c + 1):
        for j in range(b, d + 1):
            # print(i, j, dp[i][j])
            if a == i and b == j:
                continue
            dp0[i][j] = ((i * dp0[i][j - 1]) % 998244353 + dp1[i][j - 1]) % 998244353
            dp1[i][j] = (j * (dp0[i - 1][j] + dp1[i - 1][j]) % 998244353) % 998244353

    print((dp0[c][d] + dp1[c][d]) % 998244353)


if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
#import numpy as np
import math
import collections
import bisect


a, b, c, d = map(int, input().split())


dp = [[[1 for k in range(2)] for i in range(d + 1)] for j in range(c + 1)]
for k in range(2):
    for i in range(c + 1):
        for j in range(d + 1):
            dp[i][j][1] = 0
            if j < b or i < a:
                dp[i][j][k] = 0

for i in range(a, c + 1):
    for j in range(b, d + 1):
        # print(i, j, dp[i][j])
        if a == i and b == j:
            continue
        dp[i][j][0] = ((i * dp[i][j - 1][0]) % 998244353 + dp[i][j - 1][1]) % 998244353
        dp[i][j][1] = (j * (dp[i - 1][j][0] + dp[i - 1][j][1]) % 998244353) % 998244353

print((dp[c][d][0] + dp[c][d][1]) % 998244353)


Fixed submission:
#import numpy as np
import math
import collections
import bisect


def main():
    a, b, c, d = map(int, input().split())

    dp0 = [[1 for i in range(d + 1)] for j in range(c + 1)]
    dp1 = [[0 for i in range(d + 1)] for j in range(c + 1)]
    for i in range(c + 1):
        for j in range(d + 1):
            if j < b or i < a:
                dp0[i][j] = 0
                dp1[i][j] = 0
    for i in range(a, c + 1):
        for j in range(b, d + 1):
            # print(i, j, dp[i][j])
            if a == i and b == j:
                continue
            dp0[i][j] = ((i * dp0[i][j - 1]) % 998244353 + dp1[i][j - 1]) % 998244353
            dp1[i][j] = (j * (dp0[i - 1][j] + dp1[i - 1][j]) % 998244353) % 998244353

    print((dp0[c][d] + dp1[c][d]) % 998244353)


if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
import math
import collections
import bisect


a, b, c, d = map(int, input().split())

dp = np.array([[[1 for k in range(2)] for i in range(d + 1)] for j in range(c + 1)])
dp[:, :, 1] = 0
dp[0:a, :, :] = 0
dp[:, 0:b, :] = 0
#dp = list(dp)

for i in range(a, c + 1):
    for j in range(b, d + 1):
        # print(i, j, dp[i][j])
        if a == i and b == j:
            continue
        dp[i][j][0] = (i * dp[i][j - 1][0] % 998244353 + dp[i][j - 1][1] % 998244353) % 998244353
        dp[i][j][1] = (j * (dp[i - 1][j][0] % 998244353 + dp[i - 1][j][1] % 998244353)) % 998244353

print((dp[c][d][0] + dp[c][d][1]) % 998244353)


Fixed submission:
#import numpy as np
import math
import collections
import bisect


def main():
    a, b, c, d = map(int, input().split())

    dp0 = [[1 for i in range(d + 1)] for j in range(c + 1)]
    dp1 = [[0 for i in range(d + 1)] for j in range(c + 1)]
    for i in range(c + 1):
        for j in range(d + 1):
            if j < b or i < a:
                dp0[i][j] = 0
                dp1[i][j] = 0
    for i in range(a, c + 1):
        for j in range(b, d + 1):
            # print(i, j, dp[i][j])
            if a == i and b == j:
                continue
            dp0[i][j] = ((i * dp0[i][j - 1]) % 998244353 + dp1[i][j - 1]) % 998244353
            dp1[i][j] = (j * (dp0[i - 1][j] + dp1[i - 1][j]) % 998244353) % 998244353

    print((dp0[c][d] + dp1[c][d]) % 998244353)


if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
import math
import collections
import bisect


a, b, c, d = map(int, input().split())

dp = np.array([[[1 for k in range(2)] for i in range(d + 1)] for j in range(c + 1)])
dp[:, :, 1] = 0
dp[0:a, :, :] = 0
dp[:, 0:b, :] = 0
#dp = list(dp)

for i in range(a, c + 1):
    for j in range(b, d + 1):
        # print(i, j, dp[i][j])
        if a == i and b == j:
            continue
        dp[i][j][0] = (i * dp[i][j - 1][0] + dp[i][j - 1][1]) % 998244353
        dp[i][j][1] = (j * (dp[i - 1][j][0] + dp[i - 1][j][1])) % 998244353

print((dp[c][d][0] + dp[c][d][1]) % 998244353)


Fixed submission:
#import numpy as np
import math
import collections
import bisect


def main():
    a, b, c, d = map(int, input().split())

    dp0 = [[1 for i in range(d + 1)] for j in range(c + 1)]
    dp1 = [[0 for i in range(d + 1)] for j in range(c + 1)]
    for i in range(c + 1):
        for j in range(d + 1):
            if j < b or i < a:
                dp0[i][j] = 0
                dp1[i][j] = 0
    for i in range(a, c + 1):
        for j in range(b, d + 1):
            # print(i, j, dp[i][j])
            if a == i and b == j:
                continue
            dp0[i][j] = ((i * dp0[i][j - 1]) % 998244353 + dp1[i][j - 1]) % 998244353
            dp1[i][j] = (j * (dp0[i - 1][j] + dp1[i - 1][j]) % 998244353) % 998244353

    print((dp0[c][d] + dp1[c][d]) % 998244353)


if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
import math
import collections
import bisect


a, b, c, d = map(int, input().split())

dp = np.array([[[1 for k in range(2)] for i in range(d + 1)] for j in range(c + 1)])
dp[:, :, 1] = 0
dp[0:a, :, :] = 0
dp[:, 0:b, :] = 0
dp = list(dp)

for i in range(a, c + 1):
    for j in range(b, d + 1):
        # print(i, j, dp[i][j])
        if a == i and b == j:
            continue
        dp[i][j][0] = (i * dp[i][j - 1][0] + dp[i][j - 1][1]) % 998244353
        dp[i][j][1] = (j * (dp[i - 1][j][0] + dp[i - 1][j][1])) % 998244353

print((dp[c][d][0] + dp[c][d][1]) % 998244353)


Fixed submission:
#import numpy as np
import math
import collections
import bisect


def main():
    a, b, c, d = map(int, input().split())

    dp0 = [[1 for i in range(d + 1)] for j in range(c + 1)]
    dp1 = [[0 for i in range(d + 1)] for j in range(c + 1)]
    for i in range(c + 1):
        for j in range(d + 1):
            if j < b or i < a:
                dp0[i][j] = 0
                dp1[i][j] = 0
    for i in range(a, c + 1):
        for j in range(b, d + 1):
            # print(i, j, dp[i][j])
            if a == i and b == j:
                continue
            dp0[i][j] = ((i * dp0[i][j - 1]) % 998244353 + dp1[i][j - 1]) % 998244353
            dp1[i][j] = (j * (dp0[i - 1][j] + dp1[i - 1][j]) % 998244353) % 998244353

    print((dp0[c][d] + dp1[c][d]) % 998244353)


if __name__ == '__main__':
    main()