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

inf = np.iinfo(np.uint32).max



def solve():
    dists_y = [abs(y-a) for a in range(0,n+1)]
    dists_x = [abs(x-a) for a in range(0,n+1)]
    count_dists = np.zeros(n+1, dtype=int)
    for a in range(1,n+1):
        for b in range(1,a+1):
            dis = min(abs(b-a), dists_x[a] + dists_y[b] + 1, dists_y[a] + dists_x[b] + 1)
            count_dists[dis] += 1
    #print(min_dists)
    for j in range(1,n):
        print(count_dists[j])


#
# def ceildiv(a, b):
#     return a // b + a % b



n, x, y = [int(i) for i in input().split(" ")]

# import time
# t = time.time()
# n, x, y = 2000, 600, 1200


solve()
#print(time.time()- t)

Fixed submission:
import numpy as np

inf = np.iinfo(np.uint32).max



# def solve():
#     dists_y = [abs(y-a) for a in range(0,n+1)]
#     dists_x = [abs(x-a) for a in range(0,n+1)]
#     count_dists = np.zeros(n+1, dtype=int)
#     for a in range(1,n+1):
#         for b in range(1,a+1):
#             dis = min(abs(b-a), dists_x[a] + dists_y[b] + 1, dists_y[a] + dists_x[b] + 1)
#             count_dists[dis] += 1
#     #print(min_dists)
#     for j in range(1,n):
#         print(count_dists[j])

def solve():
    dists_y = [abs(y-a) for a in range(1,n+1)]
    dists_x = [abs(x-a) for a in range(1,n+1)]

    aa = np.tile(np.arange(1, n+1), (n, 1))
    bb = aa.transpose().copy()
    base_dists = np.abs(aa-bb).copy()
    aa = np.tile(dists_y, (n, 1))
    bb = np.tile(dists_x, (n, 1)).transpose().copy()
    ab_dists = aa + bb + 1
    ba_dists = ab_dists.transpose().copy()
    min_dists = np.minimum(ab_dists, ba_dists)
    min_dists = np.minimum(min_dists, base_dists)
    count_dists = np.bincount(min_dists.reshape(n**2))
    for j in range(1,n):
        if j+1>len(count_dists):
            print(0)
        else:
            print(count_dists[j]//2)



#
# def ceildiv(a, b):
#     return a // b + a % b



n, x, y = [int(i) for i in input().split(" ")]

# import time
# t = time.time()
# n, x, y = 2000, 200, 600


solve()
#print(time.time()- t)

Buggy python submission (verdict: Runtime Error):
import numpy as np
inf = np.iinfo(np.uint32).max



def solve():
    count_dists = np.zeros(n+1, dtype=int)
    for a in range(1,n+1):
        for b in range(1,a+1):
            dis = min(abs(b-a), abs(x-a)+ abs(y-b) + 1, abs(y-a) + abs(x-b) + 1)
            count_dists[dis] += 1
    #print(min_dists)
    for j in range(1,n):
        print(count_dists[j])


#
# def ceildiv(a, b):
#     return a // b + a % b



n, x, y = [int(i) for i in input().split(" ")]

solve()


Fixed submission:
import numpy as np

inf = np.iinfo(np.uint32).max



# def solve():
#     dists_y = [abs(y-a) for a in range(0,n+1)]
#     dists_x = [abs(x-a) for a in range(0,n+1)]
#     count_dists = np.zeros(n+1, dtype=int)
#     for a in range(1,n+1):
#         for b in range(1,a+1):
#             dis = min(abs(b-a), dists_x[a] + dists_y[b] + 1, dists_y[a] + dists_x[b] + 1)
#             count_dists[dis] += 1
#     #print(min_dists)
#     for j in range(1,n):
#         print(count_dists[j])

def solve():
    dists_y = [abs(y-a) for a in range(1,n+1)]
    dists_x = [abs(x-a) for a in range(1,n+1)]

    aa = np.tile(np.arange(1, n+1), (n, 1))
    bb = aa.transpose().copy()
    base_dists = np.abs(aa-bb).copy()
    aa = np.tile(dists_y, (n, 1))
    bb = np.tile(dists_x, (n, 1)).transpose().copy()
    ab_dists = aa + bb + 1
    ba_dists = ab_dists.transpose().copy()
    min_dists = np.minimum(ab_dists, ba_dists)
    min_dists = np.minimum(min_dists, base_dists)
    count_dists = np.bincount(min_dists.reshape(n**2))
    for j in range(1,n):
        if j+1>len(count_dists):
            print(0)
        else:
            print(count_dists[j]//2)



#
# def ceildiv(a, b):
#     return a // b + a % b



n, x, y = [int(i) for i in input().split(" ")]

# import time
# t = time.time()
# n, x, y = 2000, 200, 600


solve()
#print(time.time()- t)

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
inf = np.iinfo(np.uint32).max

# def solve():
#     dxy = abs(x - y)
#     for j in range(3, n+1):
#         ans = max(n - dxy - j + 1, 0) # 0 -> XY -> N
#         print(ans)
#         if j*2 <= dxy + 1:
#             ans += dxy + 1
#         print(ans)
#         for bit1 in [x-1, n-y]:
#             bit2 = ceildiv(dxy - 1, 2)
#             print(j, bit1, bit2)
#             ans += max(min(j - 1, bit1, bit2) , 0)
#             ans += max(min(j - 2, bit1, bit2) , 0)
#         print(ans)
#         if j==1:
#             ans-=1
#         exit()
#         print(j, ans)

def solve():
    count_dists = np.zeros(n+1, dtype=int)
    for a in range(1,n+1):
        for b in range(1,a+1):
            dis = min(abs(b-a), abs(x-a)+ abs(y-b) + 1, abs(y-a) + abs(x-b) + 1)
            count_dists[dis] += 1
    #print(min_dists)
    for j in range(1,n):
        print(count_dists[j])


#
# def ceildiv(a, b):
#     return a // b + a % b




n, x, y = [int(i) for i in input().split(" ")]
solve()

Fixed submission:
import numpy as np

inf = np.iinfo(np.uint32).max



# def solve():
#     dists_y = [abs(y-a) for a in range(0,n+1)]
#     dists_x = [abs(x-a) for a in range(0,n+1)]
#     count_dists = np.zeros(n+1, dtype=int)
#     for a in range(1,n+1):
#         for b in range(1,a+1):
#             dis = min(abs(b-a), dists_x[a] + dists_y[b] + 1, dists_y[a] + dists_x[b] + 1)
#             count_dists[dis] += 1
#     #print(min_dists)
#     for j in range(1,n):
#         print(count_dists[j])

def solve():
    dists_y = [abs(y-a) for a in range(1,n+1)]
    dists_x = [abs(x-a) for a in range(1,n+1)]

    aa = np.tile(np.arange(1, n+1), (n, 1))
    bb = aa.transpose().copy()
    base_dists = np.abs(aa-bb).copy()
    aa = np.tile(dists_y, (n, 1))
    bb = np.tile(dists_x, (n, 1)).transpose().copy()
    ab_dists = aa + bb + 1
    ba_dists = ab_dists.transpose().copy()
    min_dists = np.minimum(ab_dists, ba_dists)
    min_dists = np.minimum(min_dists, base_dists)
    count_dists = np.bincount(min_dists.reshape(n**2))
    for j in range(1,n):
        if j+1>len(count_dists):
            print(0)
        else:
            print(count_dists[j]//2)



#
# def ceildiv(a, b):
#     return a // b + a % b



n, x, y = [int(i) for i in input().split(" ")]

# import time
# t = time.time()
# n, x, y = 2000, 200, 600


solve()
#print(time.time()- t)

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
inf = np.iinfo(np.uint32).max

# def solve():
#     dxy = abs(x - y)
#     for j in range(3, n+1):
#         ans = max(n - dxy - j + 1, 0) # 0 -> XY -> N
#         print(ans)
#         if j*2 <= dxy + 1:
#             ans += dxy + 1
#         print(ans)
#         for bit1 in [x-1, n-y]:
#             bit2 = ceildiv(dxy - 1, 2)
#             print(j, bit1, bit2)
#             ans += max(min(j - 1, bit1, bit2) , 0)
#             ans += max(min(j - 2, bit1, bit2) , 0)
#         print(ans)
#         if j==1:
#             ans-=1
#         exit()
#         print(j, ans)

def solve():
    min_dists = np.full((n, n), inf)
    count_dists = np.zeros(n+1, dtype=int)
    for a in range(1,n+1):
        for b in range(1,n+1):
            dis = min(abs(b-a), abs(x-a)+ abs(y-b) + 1, abs(y-a) + abs(x-b) + 1)
            min_dists[a-1,b-1] = dis
            count_dists[dis] += 1
    #print(min_dists)
    for j in range(1,n):
        print(count_dists[j]//2)



def ceildiv(a, b):
    return a // b + a % b




n, x, y = [int(i) for i in input().split(" ")]
solve()

Fixed submission:
import numpy as np

inf = np.iinfo(np.uint32).max



# def solve():
#     dists_y = [abs(y-a) for a in range(0,n+1)]
#     dists_x = [abs(x-a) for a in range(0,n+1)]
#     count_dists = np.zeros(n+1, dtype=int)
#     for a in range(1,n+1):
#         for b in range(1,a+1):
#             dis = min(abs(b-a), dists_x[a] + dists_y[b] + 1, dists_y[a] + dists_x[b] + 1)
#             count_dists[dis] += 1
#     #print(min_dists)
#     for j in range(1,n):
#         print(count_dists[j])

def solve():
    dists_y = [abs(y-a) for a in range(1,n+1)]
    dists_x = [abs(x-a) for a in range(1,n+1)]

    aa = np.tile(np.arange(1, n+1), (n, 1))
    bb = aa.transpose().copy()
    base_dists = np.abs(aa-bb).copy()
    aa = np.tile(dists_y, (n, 1))
    bb = np.tile(dists_x, (n, 1)).transpose().copy()
    ab_dists = aa + bb + 1
    ba_dists = ab_dists.transpose().copy()
    min_dists = np.minimum(ab_dists, ba_dists)
    min_dists = np.minimum(min_dists, base_dists)
    count_dists = np.bincount(min_dists.reshape(n**2))
    for j in range(1,n):
        if j+1>len(count_dists):
            print(0)
        else:
            print(count_dists[j]//2)



#
# def ceildiv(a, b):
#     return a // b + a % b



n, x, y = [int(i) for i in input().split(" ")]

# import time
# t = time.time()
# n, x, y = 2000, 200, 600


solve()
#print(time.time()- t)