Buggy python submission (verdict: Runtime Error):
import numpy as np

def countCombinations(n, x, size=3):
    dp = np.zeros((x + 1, size + 1), dtype=int)
    dp[0][0] = 1
    for i in range(1, n + 1):
        dp[i:, 1:] += dp[:-i, :-1]
        print(dp)
    return dp[-1, -1]

while True:
    m, n = (int(x) for x in input().split())
    if m==0 and n==0:
        quit()
    ans = countCombinations(m, n)
    print(ans)


Fixed submission:
def countCombinations(n, x, size=3):
    dp = [[0 for j in range(x + 1)] for i in range(size + 1)]
    dp[0][0] = 1
    for i in range(1, n + 1):
        for row in range(size - 1, -1, -1):
            for col in range(x + 1 - i):
                dp[1+row][i+col] += dp[row][col]
    return dp[-1][-1]

while True:
    m, n = (int(x) for x in input().split())
    if m==0 and n==0:
        quit()
    print(countCombinations(m, n))

Buggy python submission (verdict: Runtime Error):
import numpy as np

def countCombinations(n, x, size=3):
    dp = np.zeros((x + 1, size + 1), dtype=int)
    dp[0][0] = 1
    for i in range(1, n + 1):
        dp[i:, 1:] += dp[:-i, :-1]
        print(dp)
    return dp[-1, -1]

while True:
    m, n = (int(x) for x in input().split())
    if m==0 and n==0:
        quit()
    ans = countCombinations(m, n)
    print(ans)


Fixed submission:
def countCombinations(n, x, size=3):
    dp = [[0 for j in range(x + 1)] for i in range(size + 1)]
    dp[0][0] = 1
    for i in range(1, n + 1):
        for row in range(size - 1, -1, -1):
            for col in range(x + 1 - i):
                dp[1+row][i+col] += dp[row][col]
    return dp[-1][-1]

while True:
    m, n = (int(x) for x in input().split())
    if m==0 and n==0:
        quit()
    print(countCombinations(m, n))

Buggy python submission (verdict: Runtime Error):
import numpy as np

def countCombinations(n, x, size=3):
    dp = [[0 for i in range(size + 1)] for j in range(x + 1)]
    dp[0][0] = 1
    for i in range(1, n + 1):
        for j in range(x + 1 - i):
            for k in range(size + 1 - 1):
                dp[i+j][1+k] += dp[j][k]
    return dp[-1][-1]


while True:
    m, n = (int(x) for x in input().split())
    if m==0 and n==0:
        quit()
    ans = countCombinations(m, n)
    print(ans)


Fixed submission:
def countCombinations(n, x, size=3):
    dp = [[0 for j in range(x + 1)] for i in range(size + 1)]
    dp[0][0] = 1
    for i in range(1, n + 1):
        for row in range(size - 1, -1, -1):
            for col in range(x + 1 - i):
                dp[1+row][i+col] += dp[row][col]
    return dp[-1][-1]

while True:
    m, n = (int(x) for x in input().split())
    if m==0 and n==0:
        quit()
    print(countCombinations(m, n))

Buggy python submission (verdict: Runtime Error):
def countCombinationsNumpy(n, x, size=3):
    dp = np.zeros((x + 1, size + 1), dtype=int)
    dp[0, 0] = 1
    for i in range(1, n + 1):
        dp[i:, 1:] += dp[:-i, :-1]
        print(dp)
    return dp[-1, -1]



while True:
    m, n = (int(x) for x in input().split())
    if m==0 and n==0:
        quit()
    ans = countCombinations(m, n)
    print(ans)


Fixed submission:
def countCombinations(n, x, size=3):
    dp = [[0 for j in range(x + 1)] for i in range(size + 1)]
    dp[0][0] = 1
    for i in range(1, n + 1):
        for row in range(size - 1, -1, -1):
            for col in range(x + 1 - i):
                dp[1+row][i+col] += dp[row][col]
    return dp[-1][-1]

while True:
    m, n = (int(x) for x in input().split())
    if m==0 and n==0:
        quit()
    print(countCombinations(m, n))