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n = 0 | ||
wc = [] | ||
rv = [] | ||
adj = [] | ||
parent = [] | ||
performance = [] | ||
performance_subtree = [] | ||
visited = [] | ||
root_node = 0 | ||
ans = [] | ||
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def dfs(node): | ||
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if visited[node]: | ||
return | ||
visited[node] = True | ||
subtree_per = 0 | ||
for neigh in adj[node]: | ||
if not visited[neigh]: | ||
dfs(neigh) | ||
if performance_subtree[neigh]>=0: | ||
subtree_per += performance_subtree[neigh] | ||
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subtree_per += performance[node] | ||
performance_subtree[node] = subtree_per | ||
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def calc_subtree_perf(): | ||
global n, visited, nodes_to_be_removed, performance_subtree | ||
visited = [False for _ in range(n)] | ||
performance_subtree = [0 for _ in range(n)] | ||
dfs(root_node) | ||
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def can_be_removed(node): | ||
p = parent[node] | ||
while p!=-1: | ||
if performance_subtree[p] > performance_subtree[node]: | ||
ans.append([node+1, p+1]) | ||
return True | ||
p = parent[p] | ||
return False | ||
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def calc_firing_ancess(): | ||
global ans | ||
ans = [] | ||
que = [] | ||
que.append(root_node) | ||
visited = [False for _ in range(n)] | ||
visited[root_node] = True | ||
que_pointer = 0 | ||
nodes_to_be_removed = [] | ||
while que_pointer < len(que): | ||
node = que[que_pointer] | ||
que_pointer+=1 | ||
if performance_subtree[node] < 0 and can_be_removed(node): | ||
nodes_to_be_removed.append(node) | ||
else: | ||
for neigh in adj[node]: | ||
if not visited[neigh]: | ||
visited[neigh] = True | ||
que.append(neigh) | ||
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def solve(): | ||
global n, wc, rv, performance, adj, root_node, parent | ||
n = int(input()) | ||
wc = list(map(int, input().split())) | ||
rv = list(map(int, input().split())) | ||
adj = [[] for _ in range(n)] | ||
performance = [rv[i] - wc[i] for i in range(n)] | ||
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parent = [-1 for _ in range(n)] | ||
for i in range(n-1): | ||
u, v = map(int, input().split()) | ||
adj[u-1].append(v-1) | ||
parent[v-1] = (u-1) | ||
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for i in range(n): | ||
if parent[i]==-1: | ||
root_node = i | ||
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calc_subtree_perf() | ||
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calc_firing_ancess() | ||
# print(performance) | ||
# print(performance_subtree) | ||
k = len(ans) | ||
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print(k) | ||
ans.sort() | ||
for i in range(k): | ||
print(*ans[i]) | ||
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solve() |