1203.

Sort Items by Groups Respecting Dependencies

Hard

There are n items each belonging to zero or one of m groups where group[i] is the group that the i-th item belongs to and it's equal to -1 if the i-th item belongs to no group. The items and the groups are zero indexed. A group can have no item belonging to it. Return a sorted list of the items such that: The items that belong to the same group are next to each other in the sorted list. There are some relations between these items where beforeItems[i] is a list containing all the items that should come before the i-th item in the sorted array (to the left of the i-th item). Return any solution if there is more than one solution and return an empty list if there is no solution. Example 1: Input: n = 8, m = 2, group = [-1,-1,1,0,0,1,0,-1], beforeItems = [[],[6],[5],[6],[3,6],[],[],[]] Output: [6,3,4,1,5,2,0,7] Example 2: Input: n = 8, m = 2, group = [-1,-1,1,0,0,1,0,-1], beforeItems = [[],[6],[5],[6],[3],[],[4],[]] Output: [] Explanation: This is the same as example 1 except that 4 needs to be before 6 in the sorted list. Constraints: 1 <= m <= n <= 3 * 104 group.length == beforeItems.length == n -1 <= group[i] <= m - 1 0 <= beforeItems[i].length <= n - 1 0 <= beforeItems[i][j] <= n - 1 i != beforeItems[i][j] beforeItems[i] does not contain duplicates elements.