Buggy python submission (verdict: Time Limit Exceeded):
n,x,y=map(int, input().split())
es=[[] for _ in range(n)]
for i in range(n):
    if i<n-1:
        es[i].append([1,i+1])
    if i>0:
        es[i].append([1,i-1])
    es[x-1].append([1,y-1])
    es[y-1].append([1,x-1])

import heapq

def dijkstra_heap(s):
    #始点sから各頂点への最短距離
    d = [float("inf")] * n
    used = [True] * n #True:未確定
    d[s] = 0
    used[s] = False
    edgelist = []
    for e in es[s]:
        heapq.heappush(edgelist,e)
    while len(edgelist):
        minedge = heapq.heappop(edgelist)
        #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
        if not used[minedge[1]]:
            continue
        v = minedge[1]
        d[v] = minedge[0]
        used[v] = False
        for e in es[v]:
            if used[e[1]]:
                heapq.heappush(edgelist,[e[0]+d[v],e[1]])
    return d

from collections import defaultdict, Counter

ans=defaultdict(int)
dists=[]
for i in range(n-1):
    a=dijkstra_heap(i)[i+1:]
    c=Counter(a)
    dists.append(c)
    
for i in range(len(dists)):
    for d in dists[i].keys():
        ans[d]+=dists[i][d]

for i in range(1,n):
    print(ans[i])


Fixed submission:
n,x,y=map(int, input().split())
es=[[] for _ in range(n)]
for i in range(n):
    if i<n-1:
        es[i].append([1,i+1])
    if i>0:
        es[i].append([1,i-1])
    es[x-1].append([1,y-1])
    es[y-1].append([1,x-1])

import heapq

def dijkstra_heap(s):
    d = [float("inf")] * n
    used = [True] * n
    d[s] = 0
    used[s] = False
    edgelist = []
    for e in es[s]:
        heapq.heappush(edgelist,e)
    while len(edgelist):
        minedge = heapq.heappop(edgelist)
        if not used[minedge[1]]:
            continue
        v = minedge[1]
        d[v] = minedge[0]
        used[v] = False
        for e in es[v]:
            if used[e[1]]:
                heapq.heappush(edgelist,[e[0]+d[v],e[1]])
    return d

from collections import defaultdict, Counter
from copy import deepcopy
dist=dijkstra_heap(0)
distx=dijkstra_heap(x-1)
disty=dijkstra_heap(y-1)
counts=[]
for i in range(n-1):
    if i<x-1:
        tmp=[d-i for d in dist[i:]]
        counts.append(Counter(tmp))
    elif x-1<=i<y-1:
        tmp=[min(distx[i]+distx[d], disty[i]+disty[d], abs(d-i)) for d in range(i,n)]
        counts.append(Counter(tmp))
    else:
        tmp=[disty[d]-disty[i] for d in range(i,n)]
        counts.append(Counter(tmp))
ans=defaultdict(int)

for i in range(n-1):
    keys=counts[i].keys()
    for kk in keys:
        ans[kk]+=counts[i][kk]

for i in range(1,n):
    print(ans[i])

Buggy python submission (verdict: Time Limit Exceeded):
n,x,y=map(int, input().split())
es=[[] for _ in range(n)]
for i in range(n):
    if i<n-1:
        es[i].append([1,i+1])
    if i>0:
        es[i].append([1,i-1])
    es[x-1].append([1,y-1])
    es[y-1].append([1,x-1])

import heapq

def dijkstra_heap(s):
    d = [float("inf")] * n
    used = [True] * n
    d[s] = 0
    used[s] = False
    edgelist = []
    for e in es[s]:
        heapq.heappush(edgelist,e)
    while len(edgelist):
        minedge = heapq.heappop(edgelist)
        if not used[minedge[1]]:
            continue
        v = minedge[1]
        d[v] = minedge[0]
        used[v] = False
        for e in es[v]:
            if used[e[1]]:
                heapq.heappush(edgelist,[e[0]+d[v],e[1]])
    return d

from collections import defaultdict, Counter
aa=[]
ans=defaultdict(int)
for i in range(n-1):
    a=dijkstra_heap(i)[i+1:]
    ac=Counter(a)
    aa.append(ac)

for i in range(len(aa)):
    for a in aa[i].keys():
        ans[a]+=aa[i][a]

for i in range(1,n):
    print(ans[i])


Fixed submission:
n,x,y=map(int, input().split())
es=[[] for _ in range(n)]
for i in range(n):
    if i<n-1:
        es[i].append([1,i+1])
    if i>0:
        es[i].append([1,i-1])
    es[x-1].append([1,y-1])
    es[y-1].append([1,x-1])

import heapq

def dijkstra_heap(s):
    d = [float("inf")] * n
    used = [True] * n
    d[s] = 0
    used[s] = False
    edgelist = []
    for e in es[s]:
        heapq.heappush(edgelist,e)
    while len(edgelist):
        minedge = heapq.heappop(edgelist)
        if not used[minedge[1]]:
            continue
        v = minedge[1]
        d[v] = minedge[0]
        used[v] = False
        for e in es[v]:
            if used[e[1]]:
                heapq.heappush(edgelist,[e[0]+d[v],e[1]])
    return d

from collections import defaultdict, Counter
from copy import deepcopy
dist=dijkstra_heap(0)
distx=dijkstra_heap(x-1)
disty=dijkstra_heap(y-1)
counts=[]
for i in range(n-1):
    if i<x-1:
        tmp=[d-i for d in dist[i:]]
        counts.append(Counter(tmp))
    elif x-1<=i<y-1:
        tmp=[min(distx[i]+distx[d], disty[i]+disty[d], abs(d-i)) for d in range(i,n)]
        counts.append(Counter(tmp))
    else:
        tmp=[disty[d]-disty[i] for d in range(i,n)]
        counts.append(Counter(tmp))
ans=defaultdict(int)

for i in range(n-1):
    keys=counts[i].keys()
    for kk in keys:
        ans[kk]+=counts[i][kk]

for i in range(1,n):
    print(ans[i])

Buggy python submission (verdict: Time Limit Exceeded):
n,x,y=map(int, input().split())
es=[[] for _ in range(n)]
for i in range(n):
    if i<n-1:
        es[i].append([1,i+1])
    if i>0:
        es[i].append([1,i-1])
    es[x-1].append([1,y-1])
    es[y-1].append([1,x-1])

import heapq

def dijkstra_heap(s):
    d = [float("inf")] * n
    used = [True] * n
    d[s] = 0
    used[s] = False
    edgelist = []
    for e in es[s]:
        heapq.heappush(edgelist,e)
    while len(edgelist):
        minedge = heapq.heappop(edgelist)
        if not used[minedge[1]]:
            continue
        v = minedge[1]
        d[v] = minedge[0]
        used[v] = False
        for e in es[v]:
            if used[e[1]]:
                heapq.heappush(edgelist,[e[0]+d[v],e[1]])
    return d

from collections import defaultdict, Counter
aa=[]
ans=defaultdict(int)
for i in range(n-1):
    a=dijkstra_heap(i)[i+1:]
    ac=Counter(a)
    aa.append(ac)

for i in range(len(aa)):
    for a in aa[i].keys():
        ans[a]+=aa[i][a]

for i in range(1,n):
    print(ans[i])

Fixed submission:
n,x,y=map(int, input().split())
es=[[] for _ in range(n)]
for i in range(n):
    if i<n-1:
        es[i].append([1,i+1])
    if i>0:
        es[i].append([1,i-1])
    es[x-1].append([1,y-1])
    es[y-1].append([1,x-1])

import heapq

def dijkstra_heap(s):
    d = [float("inf")] * n
    used = [True] * n
    d[s] = 0
    used[s] = False
    edgelist = []
    for e in es[s]:
        heapq.heappush(edgelist,e)
    while len(edgelist):
        minedge = heapq.heappop(edgelist)
        if not used[minedge[1]]:
            continue
        v = minedge[1]
        d[v] = minedge[0]
        used[v] = False
        for e in es[v]:
            if used[e[1]]:
                heapq.heappush(edgelist,[e[0]+d[v],e[1]])
    return d

from collections import defaultdict, Counter
from copy import deepcopy
dist=dijkstra_heap(0)
distx=dijkstra_heap(x-1)
disty=dijkstra_heap(y-1)
counts=[]
for i in range(n-1):
    if i<x-1:
        tmp=[d-i for d in dist[i:]]
        counts.append(Counter(tmp))
    elif x-1<=i<y-1:
        tmp=[min(distx[i]+distx[d], disty[i]+disty[d], abs(d-i)) for d in range(i,n)]
        counts.append(Counter(tmp))
    else:
        tmp=[disty[d]-disty[i] for d in range(i,n)]
        counts.append(Counter(tmp))
ans=defaultdict(int)

for i in range(n-1):
    keys=counts[i].keys()
    for kk in keys:
        ans[kk]+=counts[i][kk]

for i in range(1,n):
    print(ans[i])

Buggy python submission (verdict: Time Limit Exceeded):
n,x,y=map(int, input().split())
es=[[] for _ in range(n)]
for i in range(n):
    if i<n-1:
        es[i].append([1,i+1])
    if i>0:
        es[i].append([1,i-1])
    es[x-1].append([1,y-1])
    es[y-1].append([1,x-1])

import heapq

def dijkstra_heap(s):
    #始点sから各頂点への最短距離
    d = [float("inf")] * n
    used = [True] * n #True:未確定
    d[s] = 0
    used[s] = False
    edgelist = []
    for e in es[s]:
        heapq.heappush(edgelist,e)
    while len(edgelist):
        minedge = heapq.heappop(edgelist)
        #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
        if not used[minedge[1]]:
            continue
        v = minedge[1]
        d[v] = minedge[0]
        used[v] = False
        for e in es[v]:
            if used[e[1]]:
                heapq.heappush(edgelist,[e[0]+d[v],e[1]])
    return d

from collections import defaultdict
ans=defaultdict(int)
dists=[]
for i in range(n-1):
    a=dijkstra_heap(i)[i+1:]
    for aa in a:
        ans[aa]+=1

for i in range(1,n):
    print(ans[i])

Fixed submission:
n,x,y=map(int, input().split())
es=[[] for _ in range(n)]
for i in range(n):
    if i<n-1:
        es[i].append([1,i+1])
    if i>0:
        es[i].append([1,i-1])
    es[x-1].append([1,y-1])
    es[y-1].append([1,x-1])

import heapq

def dijkstra_heap(s):
    d = [float("inf")] * n
    used = [True] * n
    d[s] = 0
    used[s] = False
    edgelist = []
    for e in es[s]:
        heapq.heappush(edgelist,e)
    while len(edgelist):
        minedge = heapq.heappop(edgelist)
        if not used[minedge[1]]:
            continue
        v = minedge[1]
        d[v] = minedge[0]
        used[v] = False
        for e in es[v]:
            if used[e[1]]:
                heapq.heappush(edgelist,[e[0]+d[v],e[1]])
    return d

from collections import defaultdict, Counter
from copy import deepcopy
dist=dijkstra_heap(0)
distx=dijkstra_heap(x-1)
disty=dijkstra_heap(y-1)
counts=[]
for i in range(n-1):
    if i<x-1:
        tmp=[d-i for d in dist[i:]]
        counts.append(Counter(tmp))
    elif x-1<=i<y-1:
        tmp=[min(distx[i]+distx[d], disty[i]+disty[d], abs(d-i)) for d in range(i,n)]
        counts.append(Counter(tmp))
    else:
        tmp=[disty[d]-disty[i] for d in range(i,n)]
        counts.append(Counter(tmp))
ans=defaultdict(int)

for i in range(n-1):
    keys=counts[i].keys()
    for kk in keys:
        ans[kk]+=counts[i][kk]

for i in range(1,n):
    print(ans[i])