Buggy python submission (verdict: Runtime Error):
K,S = map(int,input().split())
patterns = 0

arr = [[x+y for y in range(min(S-x+1,K+1))] for x in range(K+1)]
# farr = list(chain.from_iterable(arr))
for a in arr:
    min_z = S - max(a)
    max_z = S - min(a)
    # if min_z <= K and max_z >=0:
    patterns += max(0,min(max_z,K) - max(0,min_z) + 1)
# print(farr)
# print(farr.count(S))
print(patterns)

Fixed submission:
K,S = map(int,input().split())
patterns = 0

# # arr = [[x+y for y in range(min(S-x+1,K+1))] for x in range(K+1)]
# farr = list(chain.from_iterable(arr))
# for z in farr:
#     temp_z = S - z
#     if temp_z <= K and temp_z >=0:
#         patterns += 1
# print(farr)
# print(farr.count(S))

for x in range(K+1):
    for y in range(max(0,S-K-x), min(K+1,S-x+1)):
        patterns += 1
print(patterns)

Buggy python submission (verdict: Runtime Error):
K,S = map(int,input().split())
patterns = 0

arr = [[x+y for y in range(min(S-x+1,K+1))] for x in range(K+1)]
# farr = list(chain.from_iterable(arr))
for a in arr:
    min_z = S - max(a)
    max_z = S - min(a)
    if min_z <= K and max_z >=0:
        patterns += min(max_z,K) - min_z + 1
# print(farr)
# print(farr.count(S))
print(patterns)

Fixed submission:
K,S = map(int,input().split())
patterns = 0

# # arr = [[x+y for y in range(min(S-x+1,K+1))] for x in range(K+1)]
# farr = list(chain.from_iterable(arr))
# for z in farr:
#     temp_z = S - z
#     if temp_z <= K and temp_z >=0:
#         patterns += 1
# print(farr)
# print(farr.count(S))

for x in range(K+1):
    for y in range(max(0,S-K-x), min(K+1,S-x+1)):
        patterns += 1
print(patterns)

Buggy python submission (verdict: Time Limit Exceeded):
from itertools import chain
# import numpy as np
# N = int(input())
# L,N = map(int,input().split())
# X = [list(map(int,input().split())) for x in range(N)]
K,S = map(int,input().split())
patterns = 0

arr = [[[x+y+z for z in range(min(S-x-y+1,K+1))] for y in range(min(S-x+1,K+1))] for x in range(K+1)]
farr = list(chain.from_iterable(arr))
farr = list(chain.from_iterable(farr))
# print(farr)
print(farr.count(S))
# print(patterns)

Fixed submission:
K,S = map(int,input().split())
patterns = 0

# # arr = [[x+y for y in range(min(S-x+1,K+1))] for x in range(K+1)]
# farr = list(chain.from_iterable(arr))
# for z in farr:
#     temp_z = S - z
#     if temp_z <= K and temp_z >=0:
#         patterns += 1
# print(farr)
# print(farr.count(S))

for x in range(K+1):
    for y in range(max(0,S-K-x), min(K+1,S-x+1)):
        patterns += 1
print(patterns)

Buggy python submission (verdict: Time Limit Exceeded):
K,S = map(int,input().split())
patterns = 0

for x in range(K+1):
    for y in range(K+1):
        for z in range(K+1):
            if x+y+z == S:
                patterns += 1
print(patterns)

Fixed submission:
K,S = map(int,input().split())
patterns = 0

# # arr = [[x+y for y in range(min(S-x+1,K+1))] for x in range(K+1)]
# farr = list(chain.from_iterable(arr))
# for z in farr:
#     temp_z = S - z
#     if temp_z <= K and temp_z >=0:
#         patterns += 1
# print(farr)
# print(farr.count(S))

for x in range(K+1):
    for y in range(max(0,S-K-x), min(K+1,S-x+1)):
        patterns += 1
print(patterns)