Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque, defaultdict
n, x, y = map(int, input().split())
x -= 1
y -= 1
edges = [[] for _ in range(n)]
edges[x].append(y)
edges[y].append(x)
for i in range(n-1):
    edges[i].append(i+1)
    edges[i+1].append(i)


def bfs(init_v):
    queue = deque([init_v])
    INF = 10**10
    dist = [INF]*n
    dist[init_v] = 0
    while queue:
        v = queue.popleft()
        for v2 in edges[v]:
            if dist[v2] <= dist[v]+1:
                continue
            dist[v2] = dist[v]+1
            dd[dist[v2]] += 1
            queue.append(v2)


dd = defaultdict(int)
for i in range(n):
    bfs(i)

for i in range(1, n):
    print(dd[i]//2)

Fixed submission:
n, x, y = map(int, input().split())
x -= 1
y -= 1
GRAPH = [[0]*n for _ in range(n)]

def shortest_path(i, j):
    if i <= x <= y <= j:
        return min(j-i, x-i+j-y+1)
    elif x <= i <= y <= j:
        return min(j-i, i-x+j-y+1)
    elif x <= i <= j <= y:
        return min(j-i, i-x+y-j+1)
    elif i <= x <= j <= y:
        return min(j-i, x-i+y-j+1)
    else:
        return j-i


ans = [0]*(n-1)
for i in range(n):
    for j in range(i+1, n):
        path = shortest_path(i, j)-1
        ans[path] += 1
print(*ans, sep="\n")

Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque, defaultdict
n, x, y = map(int, input().split())
x -= 1
y -= 1
edges = [[] for _ in range(n)]
edges[x].append(y)
edges[y].append(x)
for i in range(n-1):
    edges[i].append(i+1)
    edges[i+1].append(i)


def bfs(init_v):
    queue = deque([init_v])
    INF = 10**10
    dist = [INF]*n
    dist[init_v] = 0
    while queue:
        v = queue.popleft()
        for v2 in edges[v]:
            if dist[v2] <= dist[v]+1:
                continue
            dist[v2] = dist[v]+1
            queue.append(v2)
    return dist


dd = defaultdict(int)
for i in range(n):
    sp = bfs(i)
    for x in sp:
        dd[x] += 1

for i in range(1, n):
    print(dd[i]//2)


Fixed submission:
n, x, y = map(int, input().split())
x -= 1
y -= 1
GRAPH = [[0]*n for _ in range(n)]

def shortest_path(i, j):
    if i <= x <= y <= j:
        return min(j-i, x-i+j-y+1)
    elif x <= i <= y <= j:
        return min(j-i, i-x+j-y+1)
    elif x <= i <= j <= y:
        return min(j-i, i-x+y-j+1)
    elif i <= x <= j <= y:
        return min(j-i, x-i+y-j+1)
    else:
        return j-i


ans = [0]*(n-1)
for i in range(n):
    for j in range(i+1, n):
        path = shortest_path(i, j)-1
        ans[path] += 1
print(*ans, sep="\n")

Buggy python submission (verdict: Runtime Error):
from scipy.sparse.csgraph import shortest_path
from scipy.sparse import csr_matrix
n, x, y = map(int, input().split())
x -= 1
y -= 1
GRAPH = [[0]*n for _ in range(n)]
for i in range(n-1):
    GRAPH[i][i+1] = GRAPH[i+1][i] = 1
GRAPH[x][y] = GRAPH[y][x] = 1
G = csr_matrix(GRAPH)
sp = shortest_path(G)

ans = [0]*(n-1)
for i in range(n):
    for j in range(i+1, n):
        path = int(sp[i][j])-1
        ans[path] += 1
print(*ans, sep="\n")


Fixed submission:
n, x, y = map(int, input().split())
x -= 1
y -= 1
GRAPH = [[0]*n for _ in range(n)]

def shortest_path(i, j):
    if i <= x <= y <= j:
        return min(j-i, x-i+j-y+1)
    elif x <= i <= y <= j:
        return min(j-i, i-x+j-y+1)
    elif x <= i <= j <= y:
        return min(j-i, i-x+y-j+1)
    elif i <= x <= j <= y:
        return min(j-i, x-i+y-j+1)
    else:
        return j-i


ans = [0]*(n-1)
for i in range(n):
    for j in range(i+1, n):
        path = shortest_path(i, j)-1
        ans[path] += 1
print(*ans, sep="\n")

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
from scipy.sparse.csgraph import shortest_path
n, x, y = map(int, input().split())
x -= 1
y -= 1
GRAPH = [[0]*n for _ in range(n)]
for i in range(n-1):
    GRAPH[i][i+1] = GRAPH[i+1][i] = 1
GRAPH[x][y] = GRAPH[y][x] = 1
G = np.array(GRAPH)
sp = shortest_path(G)

ans = [0]*(n-1)
for i in range(n):
    for j in range(i+1, n):
        path = int(sp[i][j])-1
        ans[path] += 1
print(*ans, sep="\n")


Fixed submission:
n, x, y = map(int, input().split())
x -= 1
y -= 1
GRAPH = [[0]*n for _ in range(n)]

def shortest_path(i, j):
    if i <= x <= y <= j:
        return min(j-i, x-i+j-y+1)
    elif x <= i <= y <= j:
        return min(j-i, i-x+j-y+1)
    elif x <= i <= j <= y:
        return min(j-i, i-x+y-j+1)
    elif i <= x <= j <= y:
        return min(j-i, x-i+y-j+1)
    else:
        return j-i


ans = [0]*(n-1)
for i in range(n):
    for j in range(i+1, n):
        path = shortest_path(i, j)-1
        ans[path] += 1
print(*ans, sep="\n")