Buggy python submission (verdict: Time Limit Exceeded):
#template
def inputlist(): return [int(k) for k in input().split()]
#template
N,X,Y = inputlist()
cost = [[10**5]*(N) for _ in range(N)]
for i in range(N-1):
    cost[i][i+1] = 1
    cost[i+1][i] = 1
cost[X-1][Y-1] = 1
cost[Y-1][X-1] = 1
def dijkstra(s,n,cost):
    #始点sから各頂点への最短距離
    #n:頂点数,　w:辺の数, cost[u][v] : 辺uvのコスト(存在しないときはinf)
    d = [float("inf")] * n
    used = [False] * n
    d[s] = 0

    while True:
        v = -1
        #まだ使われてない頂点の中から最小の距離のものを探す
        for i in range(n):
            if (not used[i]) and (v == -1):
               v = i
            elif (not used[i]) and d[i] < d[v]:
                v = i
        if v == -1:
               break
        used[v] = True

        for j in range(n):
               d[j] = min(d[j],d[v]+cost[v][j])
    return d
li = [0]*N
for i in range(N):
    d = dijkstra(i,N,cost)
    li[i] = d
dic = {n:0 for n in range(1,N)}
for i in range(N):
    for j in range(N):
        if li[i][j] == 0:
            continue
        dic[li[i][j]] +=1
for i in range(1,N):
    print(dic[i]//2)

Fixed submission:
#template
def inputlist(): return [int(j) for j in input().split()]
#template
#issueから始める
N,X,Y = inputlist()
graph = [[] for _ in range(N+1)]
for i in range(1,N):
    graph[i].append(i+1)
    graph[i+1].append(i)
graph[X].append(Y)
graph[Y].append(X)
seen = [False]*(N+1)
ans = [0]*(N+1)
def bfs(i):
    from collections import deque
    que = deque()
    que.append([i,0])
    seen[i] = True
    while len(que)!=0:
        li = que.popleft()
        x = li[0]
        count = li[1]
        for j in graph[x]:
            if seen[j]:
                continue
            seen[j] = True
            counta= count + 1
            que.append([j,counta])
            ans[counta]+=1
for i in range(1,N+1):
    seen = [False]*(N+1)
    bfs(i)
for i in range(1,N):
    print(ans[i]//2)

Buggy python submission (verdict: Time Limit Exceeded):
#template
from collections import Counter
def inputlist(): return [int(j) for j in input().split()]
#template
def dijkstra(s,n,w,cost):
    #始点sから各頂点への最短距離
    #n:頂点数,　w:辺の数, cost[u][v] : 辺uvのコスト(存在しないときはinf)
    d = [float("inf")] * n
    used = [False] * n
    d[s] = 0

    while True:
        v = -1
        #まだ使われてない頂点の中から最小の距離のものを探す
        for i in range(n):
            if (not used[i]) and (v == -1):
               v = i
            elif (not used[i]) and d[i] < d[v]:
                v = i
        if v == -1:
               break
        used[v] = True

        for j in range(n):
               d[j] = min(d[j],d[v]+cost[v][j])
    return d

N,X,Y = inputlist()
X-=1
Y-=1
ans = [0]*N
cost = [[float('inf') for _ in range(N)] for _ in range(N)]
for i in range(N):
    if i != N-1:
        cost[i][i+1] = 1
    if i != 0:
        cost[i][i-1] = 1
    if i == X:
        cost[X][Y] = 1
    if i == Y:
        cost[i][X] = 1
for i in range(N):
    ans[i] = dijkstra(i,N,N,cost)
li = [0]*(N)
for i in range(N):
    for j in range(N):
        li[ans[i][j]] +=1
for i in range(1,N):
    print(li[i]//2)

Fixed submission:
#template
def inputlist(): return [int(j) for j in input().split()]
#template
#issueから始める
N,X,Y = inputlist()
graph = [[] for _ in range(N+1)]
for i in range(1,N):
    graph[i].append(i+1)
    graph[i+1].append(i)
graph[X].append(Y)
graph[Y].append(X)
seen = [False]*(N+1)
ans = [0]*(N+1)
def bfs(i):
    from collections import deque
    que = deque()
    que.append([i,0])
    seen[i] = True
    while len(que)!=0:
        li = que.popleft()
        x = li[0]
        count = li[1]
        for j in graph[x]:
            if seen[j]:
                continue
            seen[j] = True
            counta= count + 1
            que.append([j,counta])
            ans[counta]+=1
for i in range(1,N+1):
    seen = [False]*(N+1)
    bfs(i)
for i in range(1,N):
    print(ans[i]//2)

Buggy python submission (verdict: Time Limit Exceeded):
#template
def inputlist(): return [int(j) for j in input().split()]
#template
#issueから始める
N,X,Y = inputlist()
graph = [[] for _ in range(N+1)]
for i in range(1,N):
    graph[i].append(i+1)
    graph[i+1].append(i)
graph[X].append(Y)
graph[Y].append(X)
seen = [False]*(N+1)
ans = [0]*(N+1)
def bfs(i):
    from collections import deque
    que = deque()
    que.append([i,0])
    seen[i] = True
    while len(que)!=0:
        li = que.popleft()
        x = li[0]
        count = li[1]
        for j in graph[x]:
            if seen[j]:
                continue
            seen[j] = True
            counta= count + 1
            que.append([j,counta])
            ans[counta]+=1
for i in range(1,N+1):
    seen = [False]*(N+1)
    bfs(i)
for i in range(1,N):
    print(ans[i]//2)

Fixed submission:
#template
def inputlist(): return [int(j) for j in input().split()]
#template
#issueから始める
N,X,Y = inputlist()
graph = [[] for _ in range(N+1)]
for i in range(1,N):
    graph[i].append(i+1)
    graph[i+1].append(i)
graph[X].append(Y)
graph[Y].append(X)
seen = [False]*(N+1)
ans = [0]*(N+1)
def bfs(i):
    from collections import deque
    que = deque()
    que.append([i,0])
    seen[i] = True
    while len(que)!=0:
        li = que.popleft()
        x = li[0]
        count = li[1]
        for j in graph[x]:
            if seen[j]:
                continue
            seen[j] = True
            counta= count + 1
            que.append([j,counta])
            ans[counta]+=1
for i in range(1,N+1):
    seen = [False]*(N+1)
    bfs(i)
for i in range(1,N):
    print(ans[i]//2)

Buggy python submission (verdict: Time Limit Exceeded):
#template
def inputlist(): return [int(j) for j in input().split()]
#template
#issueから始める
N,X,Y = inputlist()
graph = [[0]*(N+1) for _ in range(N+1)]
for i in range(1,N+1):
    for j in range(1,N+1):
        if i - j == 1 or j - i == 1:
            graph[i][j] = 1
            graph[j][i] = 1
        if i == X and j == Y or i == Y and j == X:
            graph[X][Y] = 1
            graph[Y][X] = 1
from scipy.sparse.csgraph import shortest_path
import numpy as np
c = np.array(graph)
path = shortest_path(c,'D')
ans = [0]*(N+1)
for i in range(1,N+1):
    for j in range(1,N+1):
        if path[i,j] != 0:
            ans[int(path[i,j])] +=1
for i in range(1,N):
    print(ans[i]//2)

Fixed submission:
#template
def inputlist(): return [int(j) for j in input().split()]
#template
#issueから始める
N,X,Y = inputlist()
graph = [[] for _ in range(N+1)]
for i in range(1,N):
    graph[i].append(i+1)
    graph[i+1].append(i)
graph[X].append(Y)
graph[Y].append(X)
seen = [False]*(N+1)
ans = [0]*(N+1)
def bfs(i):
    from collections import deque
    que = deque()
    que.append([i,0])
    seen[i] = True
    while len(que)!=0:
        li = que.popleft()
        x = li[0]
        count = li[1]
        for j in graph[x]:
            if seen[j]:
                continue
            seen[j] = True
            counta= count + 1
            que.append([j,counta])
            ans[counta]+=1
for i in range(1,N+1):
    seen = [False]*(N+1)
    bfs(i)
for i in range(1,N):
    print(ans[i]//2)