Buggy python submission (verdict: Time Limit Exceeded):
import sys
from itertools import combinations 
from collections import defaultdict
input = sys.stdin.readline
N = int(input())
ab = [list(map(int,input().split())) for i in range(N-1)]
M = int(input())
uv = [list(map(int,input().split())) for i in range(M)]

g = defaultdict(list)
for a,b in ab:
    g[a].append(b)
    g[b].append(a)

def eulerTour(g,s):
    n = len(g)
    dq = [s]
    ls = [-1]*(n+1)
    rs = [-1]*(n+1)
    vtour = []
    etour = []
    depth = [-1]*(n+1)
    parent = [False]*(n+1)
    visited = [False]*(n+1)
    def dfs(v,d):
        depth[v] = d
        visited[v] = True
        ls[v] = len(vtour)
        vtour.append(v)
        etour.append(v)
        for nv in g[v]:
            if not visited[nv]:
                parent[nv] = v
                dfs(nv,d+1)
        rs[v] = len(vtour)
        etour.append(-v)
        vtour.append(parent[v])
    dfs(s,0)
    return ls,rs,etour,vtour,parent,depth

ls,rs,etour,vtour,parent,depth = eulerTour(g,1)
paths = []
depthind = [depth[v] for v in vtour]

for u,v in uv:
    l,r = ls[u],ls[v]
    l,r = (l,r) if l < r else (r,l)
    lcaind = depthind[l:r].index(min(depthind[l:r]))
    lca = vtour[l+lcaind]
    lpath = []
    x = u
    while x != lca:
        lpath.append(tuple(sorted((x,parent[x]))))
        x = parent[x]
    rpath = []
    x = v
    while x != lca:
        rpath.append(tuple(sorted((x,parent[x]))))
        x = parent[x]
    path = set(lpath + rpath)
    paths.append(path)
    
ans = 2**(N-1)

memo = {(i):paths[i] for i in range(M)}
memo[()] = set([])
for i in range(1,M+1):
    for vs in combinations(list(range(M)),i):
        sign = i % 2
        sect = memo[vs[:-1]] | paths[vs[-1]]
        memo[vs] = sect
        num = N-1 - len(sect)
        ans += (-1)**sign * (2**num)

print(ans)






Fixed submission:
import sys
from itertools import combinations 
from collections import defaultdict
input = sys.stdin.readline
N = int(input())
ab = [list(map(int,input().split())) for i in range(N-1)]
M = int(input())
uv = [list(map(int,input().split())) for i in range(M)]

g = defaultdict(list)
pathnum = {}
for n,(a,b) in enumerate(ab):
    g[a].append(b)
    g[b].append(a)
    a,b = sorted([a,b])
    pathnum[(a,b)] = n

def eulerTour(g,s):
    n = len(g)
    dq = [s]
    ls = [-1]*(n+1)
    rs = [-1]*(n+1)
    vtour = []
    etour = []
    depth = [-1]*(n+1)
    parent = [False]*(n+1)
    visited = [False]*(n+1)
    def dfs(v,d):
        depth[v] = d
        visited[v] = True
        ls[v] = len(vtour)
        vtour.append(v)
        etour.append(v)
        for nv in g[v]:
            if not visited[nv]:
                parent[nv] = v
                dfs(nv,d+1)
        rs[v] = len(vtour)
        etour.append(-v)
        vtour.append(parent[v])
    dfs(s,0)
    return ls,rs,etour,vtour,parent,depth

ls,rs,etour,vtour,parent,depth = eulerTour(g,1)
paths = []
depthind = [depth[v] for v in vtour]

for u,v in uv:
    l,r = ls[u],ls[v]
    l,r = (l,r) if l < r else (r,l)
    lcaind = depthind[l:r].index(min(depthind[l:r]))
    lca = vtour[l+lcaind]
    lpath = []
    x = u
    while x != lca:
        lpath.append(pathnum[tuple(sorted((x,parent[x])))])
        x = parent[x]
    rpath = []
    x = v
    while x != lca:
        rpath.append(pathnum[tuple(sorted((x,parent[x])))])
        x = parent[x]
    path = set(lpath + rpath)
    h = sum([1<<i for i in path])
    paths.append(h)
    
ans = 2**(N-1)

memo = {1<<i:paths[i] for i in range(M)}
memo[0] = 0
for i in range(1,M+1):
    for vs in combinations(list(range(M)),i):
        sign = i % 2
        h = sum([1<<i for i in vs])
        ph = h ^ (1<<vs[-1])
        sect = memo[ph] | paths[vs[-1]]
        memo[h] = sect
        num = N-1 - str(bin(sect)).count('1')
        ans += (-1)**sign * (2**num)

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import sys
from itertools import combinations 
from collections import defaultdict
input = sys.stdin.readline
N = int(input())
ab = [list(map(int,input().split())) for i in range(N-1)]
M = int(input())
uv = [list(map(int,input().split())) for i in range(M)]

g = defaultdict(list)
for a,b in ab:
    g[a].append(b)
    g[b].append(a)

def eulerTour(g,s):
    n = len(g)
    dq = [s]
    ls = [-1]*(n+1)
    rs = [-1]*(n+1)
    vtour = []
    etour = []
    depth = [-1]*(n+1)
    parent = [False]*(n+1)
    visited = [False]*(n+1)
    def dfs(v,d):
        depth[v] = d
        visited[v] = True
        ls[v] = len(vtour)
        vtour.append(v)
        etour.append(v)
        for nv in g[v]:
            if not visited[nv]:
                parent[nv] = v
                dfs(nv,d+1)
        rs[v] = len(vtour)
        etour.append(-v)
        vtour.append(parent[v])
    dfs(s,0)
    return ls,rs,etour,vtour,parent,depth

ls,rs,etour,vtour,parent,depth = eulerTour(g,1)
paths = []
depthind = [depth[v] for v in vtour]

for u,v in uv:
    l,r = ls[u],ls[v]
    l,r = (l,r) if l < r else (r,l)
    lcaind = depthind[l:r].index(min(depthind[l:r]))
    lca = vtour[l+lcaind]
    lpath = []
    x = u
    while x != lca:
        lpath.append(tuple(sorted((x,parent[x]))))
        x = parent[x]
    rpath = []
    x = v
    while x != lca:
        rpath.append(tuple(sorted((x,parent[x]))))
        x = parent[x]
    path = set(lpath + rpath)
    paths.append(path)
    
ans = 2**(N-1)

memo = {(i):paths[i] for i in range(M)}
memo[()] = set([])
for i in range(1,M+1):
    for vs in combinations(list(range(M)),i):
        sign = i % 2
        sect = memo[vs[:-1]] | paths[vs[-1]]
        memo[vs] = sect
        num = N-1 - len(sect)
        ans += (-1)**sign * (2**num)

print(ans)






Fixed submission:
import sys
from itertools import combinations 
from collections import defaultdict
input = sys.stdin.readline
N = int(input())
ab = [list(map(int,input().split())) for i in range(N-1)]
M = int(input())
uv = [list(map(int,input().split())) for i in range(M)]

g = defaultdict(list)
pathnum = {}
for n,(a,b) in enumerate(ab):
    g[a].append(b)
    g[b].append(a)
    a,b = sorted([a,b])
    pathnum[(a,b)] = n

def eulerTour(g,s):
    n = len(g)
    dq = [s]
    ls = [-1]*(n+1)
    rs = [-1]*(n+1)
    vtour = []
    etour = []
    depth = [-1]*(n+1)
    parent = [False]*(n+1)
    visited = [False]*(n+1)
    def dfs(v,d):
        depth[v] = d
        visited[v] = True
        ls[v] = len(vtour)
        vtour.append(v)
        etour.append(v)
        for nv in g[v]:
            if not visited[nv]:
                parent[nv] = v
                dfs(nv,d+1)
        rs[v] = len(vtour)
        etour.append(-v)
        vtour.append(parent[v])
    dfs(s,0)
    return ls,rs,etour,vtour,parent,depth

ls,rs,etour,vtour,parent,depth = eulerTour(g,1)
paths = []
depthind = [depth[v] for v in vtour]

for u,v in uv:
    l,r = ls[u],ls[v]
    l,r = (l,r) if l < r else (r,l)
    lcaind = depthind[l:r].index(min(depthind[l:r]))
    lca = vtour[l+lcaind]
    lpath = []
    x = u
    while x != lca:
        lpath.append(pathnum[tuple(sorted((x,parent[x])))])
        x = parent[x]
    rpath = []
    x = v
    while x != lca:
        rpath.append(pathnum[tuple(sorted((x,parent[x])))])
        x = parent[x]
    path = set(lpath + rpath)
    h = sum([1<<i for i in path])
    paths.append(h)
    
ans = 2**(N-1)

memo = {1<<i:paths[i] for i in range(M)}
memo[0] = 0
for i in range(1,M+1):
    for vs in combinations(list(range(M)),i):
        sign = i % 2
        h = sum([1<<i for i in vs])
        ph = h ^ (1<<vs[-1])
        sect = memo[ph] | paths[vs[-1]]
        memo[h] = sect
        num = N-1 - str(bin(sect)).count('1')
        ans += (-1)**sign * (2**num)

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import sys
from collections import defaultdict
from functools import reduce
input = sys.stdin.readline
N = int(input())
ab = [list(map(int,input().split())) for i in range(N-1)]
M = int(input())
uv = [list(map(int,input().split())) for i in range(M)]

g = defaultdict(list)
for a,b in ab:
    g[a].append(b)
    g[b].append(a)

def eulerTour(g,s):
    n = len(g)
    dq = [s]
    ls = [-1]*(n+1)
    rs = [-1]*(n+1)
    vtour = []
    etour = []
    depth = [-1]*(n+1)
    parent = [False]*(n+1)
    visited = [False]*(n+1)
    def dfs(v,d):
        depth[v] = d
        visited[v] = True
        ls[v] = len(vtour)
        vtour.append(v)
        etour.append(v)
        for nv in g[v]:
            if not visited[nv]:
                parent[nv] = v
                dfs(nv,d+1)
        rs[v] = len(vtour)
        etour.append(-v)
        vtour.append(parent[v])
    dfs(s,0)
    return ls,rs,etour,vtour,parent,depth

ls,rs,etour,vtour,parent,depth = eulerTour(g,1)
paths = []
depthind = [depth[v] for v in vtour]

for u,v in uv:
    l,r = ls[u],ls[v]
    l,r = (l,r) if l < r else (r,l)
    lcaind = depthind[l:r].index(min(depthind[l:r]))
    lca = vtour[l+lcaind]
    lpath = []
    x = u
    while x != lca:
        lpath.append(tuple(sorted((x,parent[x]))))
        x = parent[x]
    rpath = []
    x = v
    while x != lca:
        rpath.append(tuple(sorted((x,parent[x]))))
        x = parent[x]
    path = set(lpath + rpath)
    paths.append(path)
    
ans = 2**(N-1)

allv = set([v for v in range(1,N+1)])

for i in range(1,2**M):
    b = bin(i)[2:].zfill(M)
    b = list(map(lambda x: int(x),b))
    sign = sum(b) % 2
    pathset = [paths[i] for i in range(M) if b[i] == 1]
    sect = reduce(lambda x,y:x | y, pathset)
    num = N-1 - len(sect)
    ans += (-1)**sign * (2**num)

print(ans)






Fixed submission:
import sys
from itertools import combinations 
from collections import defaultdict
input = sys.stdin.readline
N = int(input())
ab = [list(map(int,input().split())) for i in range(N-1)]
M = int(input())
uv = [list(map(int,input().split())) for i in range(M)]

g = defaultdict(list)
pathnum = {}
for n,(a,b) in enumerate(ab):
    g[a].append(b)
    g[b].append(a)
    a,b = sorted([a,b])
    pathnum[(a,b)] = n

def eulerTour(g,s):
    n = len(g)
    dq = [s]
    ls = [-1]*(n+1)
    rs = [-1]*(n+1)
    vtour = []
    etour = []
    depth = [-1]*(n+1)
    parent = [False]*(n+1)
    visited = [False]*(n+1)
    def dfs(v,d):
        depth[v] = d
        visited[v] = True
        ls[v] = len(vtour)
        vtour.append(v)
        etour.append(v)
        for nv in g[v]:
            if not visited[nv]:
                parent[nv] = v
                dfs(nv,d+1)
        rs[v] = len(vtour)
        etour.append(-v)
        vtour.append(parent[v])
    dfs(s,0)
    return ls,rs,etour,vtour,parent,depth

ls,rs,etour,vtour,parent,depth = eulerTour(g,1)
paths = []
depthind = [depth[v] for v in vtour]

for u,v in uv:
    l,r = ls[u],ls[v]
    l,r = (l,r) if l < r else (r,l)
    lcaind = depthind[l:r].index(min(depthind[l:r]))
    lca = vtour[l+lcaind]
    lpath = []
    x = u
    while x != lca:
        lpath.append(pathnum[tuple(sorted((x,parent[x])))])
        x = parent[x]
    rpath = []
    x = v
    while x != lca:
        rpath.append(pathnum[tuple(sorted((x,parent[x])))])
        x = parent[x]
    path = set(lpath + rpath)
    h = sum([1<<i for i in path])
    paths.append(h)
    
ans = 2**(N-1)

memo = {1<<i:paths[i] for i in range(M)}
memo[0] = 0
for i in range(1,M+1):
    for vs in combinations(list(range(M)),i):
        sign = i % 2
        h = sum([1<<i for i in vs])
        ph = h ^ (1<<vs[-1])
        sect = memo[ph] | paths[vs[-1]]
        memo[h] = sect
        num = N-1 - str(bin(sect)).count('1')
        ans += (-1)**sign * (2**num)

print(ans)