import sys
sys.setrecursionlimit(400000)

MOD = 1000000007
inv2 = 500000004

def dfs0(i, prev) :
	subtree_dsum[i] = inv2
	for j in hen[i] :
		if j != prev :
			dfs0(j, i)
			subtree_dsum[i] = (subtree_dsum[i] + subtree_dsum[j] * inv2) % MOD;

res = 0
def dfs1(i, prev, prev_dsum) :
	global res
	all = []
	if prev != -1 : all.append(prev_dsum)
	for j in hen[i] :
		if j != prev : all.append(subtree_dsum[j])
	
	sum1 = sum(all) % MOD
	sum2 = sum(map(lambda i : i * i, all)) % MOD
	sum3 = sum(map(lambda i : i * i * i, all)) % MOD
	res = (res \
		 + sum1 * sum1 * sum1 - sum2 * sum1 * 3 + sum3 * 2 \
		 + (sum1 * sum1 - sum2) * 3 \
		 + sum1 * 3 + 1) % MOD
	if res < 0 : res += MOD
	
	for j in hen[i] :
		if j != prev :
			next = (sum1 - subtree_dsum[j] + 1) * inv2 % MOD
			if next < 0 : next += MOD
			dfs1(j, i, next);

n = int(input())
hen = [[] for i in range(n)]
for i in range(n - 1) :
	a, b = map(int, input().split())
	a -= 1
	b -= 1
	hen[a].append(b)
	hen[b].append(a)

subtree_dsum = [0 for i in range(n)]
dfs0(0, -1)
dfs1(0, -1, 0)
for i in range(n - 1) :
	res *= 2
	if res >= MOD : res -= MOD
print(res)