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Copy pathproblem_10_3_1.py
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59 lines (48 loc) · 1.32 KB
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INF = float('inf')
def tpath():
global weights
edges.sort(key = lambda x: x[2])
weights = {edges[i][2] for i in range(m)}
weights = sorted(list(weights))
ret = INF
for i in range(len(weights)):
min_upperbound = min_upperbound_kruskal(i)
ret = min(ret, min_upperbound - weights[i])
return ret
def find(a):
if a == parent[a]:
return a
return find(parent[a])
def union(a,b):
if a == -1 or b == -1:
return max(a,b)
p, q = find(a), find(b)
if p != q:
if rank[p] > rank[q]:
p, q = q, p
parent[p] = q
if rank[p] == rank[q]:
rank[q] += 1
return q
def min_upperbound_kruskal(low):
global parent, rank
parent = list(range(n))
rank = [1] * n
for i in range(m):
a, b, weight = edges[i]
if weight >= weights[low]:
union(a, b)
if find(0) == find(n-1):
return weight
return INF
def min_diff():
ret = INF
for i in range(len(weights)):
min_upperbound = min_upperbound(i)
ret = min(ret, min_upperbound - weights[i])
return ret
for _ in range(int(input())):
n, m = map(int, input().split())
edges = [list(map(int, input().split())) for _ in range(m)]
ret = tpath()
print(0 if ret == INF else ret)