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SELECT DISTINCT `questions`.*, `users`.`User_name` AS `Teacher_name`, MATCH (Title) AGAINST('the number of different possible color assignments. The number can be quite big, so the King has requested to know the answer modulo 1000000007?') AS rel1, MATCH (Details) AGAINST('the number of different possible color assignments. The number can be quite big, so the King has requested to know the answer modulo 1000000007?') AS rel3, MATCH (Title) AGAINST('
Far`, `far` `away`, there is the mystical Kingdom of Trees (more formally, \"Royal Commonwealth of Connected Undirected Simple Acyclic Graphs\"). The King there is very sad because his kingdom is not accepted as a sovereign state in the United Nations. In order to become a member, he needs to make a flag the UN can put on their website.The flag will of course consist of the King\'s favorite tree, which contains nn nodes. The King would be happy to just have the tree colored in black and white, `but for the sake of his wife the` `Queen`, he decided that the tree will contain all the favorite colors of their kk children (they all have distinct favorite colors). Clearly, `no two neighboring nodes can have the same` `color`, but otherwise any coloring of the tree using exactly the kk colors would make a feasible flag candidate.How many different flags are possible?
Input:
The first line contains two integers nn and kk (2≤k≤n≤25002≤k≤n≤2500), where nn is the number of nodes in the King\'s favorite tree and kk is the number of children. Then follow n−1n−1 lines describing the edges in the tree; the ii\'th of these lines contains a non-negative integer pi<ipi<i, meaning that node pipi is the parent of ii, The nodes are numbered from 00 to n−1n−1 and the tree is rooted at node 00. Note that the embedding of the tree on the flag is already fixed, `the only thing that remains is to assign colors`.`
Output:
the number of different possible color assignments`.` The number can be quite` `big`, so the King has requested to know the answer modulo
10000000071000000007.
Far`, `far` `away`, there is the mystical Kingdom of Trees (more formally, \"Royal Commonwealth of Connected Undirected Simple Acyclic Graphs\"). The King there is very sad because his kingdom is not accepted as a sovereign state in the United Nations. In order to become a member, he needs to make a flag the UN can put on their website.The flag will of course consist of the King\'s favorite tree, which contains nn nodes. The King would be happy to just have the tree colored in black and white, `but for the sake of his wife the` `Queen`, he decided that the tree will contain all the favorite colors of their kk children (they all have distinct favorite colors). Clearly, `no two neighboring nodes can have the same` `color`, but otherwise any coloring of the tree using exactly the kk colors would make a feasible flag candidate.How many different flags are possible?
Input:
The first line contains two integers nn and kk (2≤k≤n≤25002≤k≤n≤2500), where nn is the number of nodes in the King\'s favorite tree and kk is the number of children. Then follow n−1n−1 lines describing the edges in the tree; the ii\'th of these lines contains a non-negative integer pi<ipi<i, meaning that node pipi is the parent of ii, The nodes are numbered from 00 to n−1n−1 and the tree is rooted at node 00. Note that the embedding of the tree on the flag is already fixed, `the only thing that remains is to assign colors`.`
Output:
the number of different possible color assignments`.` The number can be quite` `big`, so the King has requested to know the answer modulo
10000000071000000007.
Far, far away, there is the mystical Kingdom of Trees (more formally, \"Royal Commonwealth of Connected Undirected Simple Acyclic Graphs\"). The King there is very sad because his kingdom is not accepted as a sovereign state in the United Nations. In order to become a member, he needs to make a flag the UN can put on their website.The flag will of course consist of the King\'s favorite tree, which contains nn nodes. The King would be happy to just have the tree colored in black and white, but for the sake of his wife the Queen, he decided that the tree will contain all the favorite colors of their kk children (they all have distinct favorite colors). Clearly, no two neighboring nodes can have the same color, but otherwise any coloring of the tree using exactly the kk colors would make a feasible flag candidate.How many different flags are possible?
Input:
The first line contains two integers nn and kk (2≤k≤n≤25002≤k≤n≤2500), where nn is the number of nodes in the King\'s favorite tree and kk is the number of children. Then follow n−1n−1 lines describing the edges in the tree; the ii\'th of these lines contains a non-negative integer pi<ipi<i, meaning that node pipi is the parent of ii,The nodes are numbered from 00 to n−1n−1 and the tree is rooted at node 00. Note that the embedding of the tree on the flag is already fixed, the only thing that remains is to assign colors.
Output:
the number of different possible color assignments. The number can be quite big, so the King has requested to know the answer modulo
10000000071000000007.
Filename: models/Questions_model.php
Line Number: 621