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Copy pathSort Items by Groups Respecting Dependencies.py
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Sort Items by Groups Respecting Dependencies.py
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class Solution:
def sortItems(self, n: int, m: int, group: List[int], beforeItems: List[List[int]]) -> List[int]:
before = {i:set() for i in range(n)}
after = {i:set() for i in range(n)}
beforeG = {i:set() for i in range(m)}
afterG = {i:set() for i in range(m)}
groups = {i:set() for i in range(m)}
qg = collections.deque()
lazy = collections.deque()
for i in range(n):
if group[i] != -1:
groups[group[i]].add(i)
for x in beforeItems[i]:
before[i].add(x)
after[x].add(i)
if group[x] != group[i] and group[x] != -1 and group[i] != -1:
beforeG[group[i]].add(group[x])
afterG[group[x]].add(group[i])
for i in range(n):
if group[i] == -1 and not before[i]:
lazy.append(i)
for i in range(m):
if not beforeG[i]:
qg.append(i)
ans = []
while qg:
while lazy:
i = lazy.popleft()
ans.append(i)
for j in after[i]:
before[j].remove(i)
if not before[j] and group[j] == -1:
lazy.append(j)
g = qg.popleft()
q = collections.deque()
for member in groups[g]:
if not before[member]:
q.append(member)
while q:
i = q.popleft()
ans.append(i)
groups[g].remove(i)
for j in after[i]:
before[j].remove(i)
if not before[j]:
if group[j] == g:
q.append(j)
if group[j] == -1:
lazy.append(j)
if groups[g]:
return []
for p in afterG[g]:
beforeG[p].remove(g)
if not beforeG[p]:
qg.append(p)
while lazy:
i = lazy.popleft()
ans.append(i)
for j in after[i]:
before[j].remove(i)
if not before[j] and group[j] == -1:
lazy.append(j)
return ans if len(ans) == n else []