Harsh-7300/dataset huggingface dataset:
Question: What is an AVL Tree?
Reference answer: AVL trees are height balancing binary search tree. AVL tree checks the height of left and right sub-trees and assures that the difference is not more than 1. This difference is called Balance Factor. BalanceFactor = height(left-sutree) − height(right-sutree)

Student answer: type of BST (binary search tree)\nfour types of rotations can be performed depending on the balance factor:-\n1)LL or left-left\n2)RR or right-right\n3)RL or right-left\n4)LR or left-right
Score: 1.0

Student answer: A pivot element is chosen from a group of elements. Other elements are placed on the right or left of the pivot element depending on whether they are larger or smaller than the pivot element.
Score: 1.0

Student answer: it is a self balancing binary tree in which element which is greater than its parent is placed at right and element less than its parent is placed at left of the parent
Score: 1.0

Student answer: AVL tree is a self-balanced binary tree in which the elements greater than the root are placed in the right and less than it are placed on the left.
Score: 1.0

Student answer: it is a type of self-balancing tree (data structure)
Score: 2.5

Student answer: AVL trees are those in which all nodes are balanced. The element of lower weight should be on the left node of a tree and the greater one should be on the right.
Score: 1.0

Student answer: The AVL tree is optimise verson of binary tree in which the difference between least and maximum level is not more the 2.\n
Score: 2.0

Student answer: in the avl tree the upper node that is first node of the tree(parent) is larger than the left child and lesser than the right child.also it for the left chind as parent that it is grearter than of the left ching and lesser than the right child and so further for the right node and so on.
Score: 0.0

Student answer: it is an example of balanced tree, it is balanced by appropriate rotations whenever a new element is inserted.
Score: 2.5

Student answer: AVL Tree is an binary tree, where each parent node has two children node. Also we create AVL tree such that left node is always smaller than the parent node and right node is always bigger than the parent node.
Score: 1.0

Student answer: AVL trees are height balanced Binary trees in which the difference of heights for each node is either +1, -1 or 0
Score: 2.5

Student answer: AVL Tree is the binary tree having smaller elements than root to left side and the elements on the right side are greater . If element is greater the the parent node the child gets attached to the left side if child node is smaller the the parent node its gets attached to right side.
Score: 1.0

Student answer: It is a Balanced Binary tree 
Score: 2.5

Student answer: AVL tree is a type of  tree in which left and right rotations are done whenver the condition of tree is not met. Condiions->right of root shoulod be greater and left of root should be smaller.
Score: 1.0

Student answer: avl tree is a special tree in which the maximum element is on the right most part of the tree and the least element is on the left most part
Score: 0.0
Question: What is an AVL Tree?
Reference answer: AVL trees are height balancing binary search tree. AVL tree checks the height of left and right sub-trees and assures that the difference is not more than 1. This difference is called Balance Factor. BalanceFactor = height(left-sutree) − height(right-sutree)

Student answer: it is a self balancing tree which balances its height at each level after operations such as insertion and deletion
Score: 2.5

Student answer: AVL tree is an abbreviation for adelson velsky tree. it is a self balancing binary tree in which the difference of heights of left and right subtree cannot be more than 1.
Score: 2.5

Student answer: AVL Tree is a balanced Binary Tree.  Whenever a new node is added to an AVL tree it utilizes the left height and right height of that particular node on which the new node is added. \nif the difference between the LH and RH is > 1 than 4 rotation are possible Left Right Rotation , Right Left Rotation, Left Left Rotation and Right Right Rotation. All these steps an AVL Tree balanced.
Score: 2.5

Student answer: avl tree in which maximum 
Score: 0.0

Student answer: Avl tree is a tree that  uses rotation to self balance its height. 
Score: 2.5

Student answer: avl is a weighted tree\nwhere weight is obtained and allowed weight is [-1,1] the tree is extended only in the direction where weight is maintained between -1 and 1\n
Score: 1.0

Student answer: balanced binary tree in which each node is connected through balanced factor of subtracting or adding0
Score: 2.5

Student answer: avl tree is used to sort the binary tree with child nodes less than the value of parent node on the left and greater on the right 
Score: 0.0

Student answer: Such a tree , in which the value of left is smaller than the parent node and the value of right child is bigger than the parent node is called AVL Tree.
Score: 0.0

Student answer: AVL tree is a special type of tree in which it maintains balance between the left and the right subtrees. if the balance is greator than 1 then it perform swap operation to maintain the balance between them.
Score: 2.5

Student answer: AVL is the balanced binary tree which have divided its tree may be in symmetry or it is equal divide in level. it is perform the operations like traverse, add or delete. by left to right and right to left.
Score: 2.5

Student answer: AVL Tree is a properly balanced binary tree where every node has 2 children except the leaf nodes and nodes are filled from left to right. To maintain the order rotations are also done in the tree.
Score: 2.5

Student answer: avl tree are balanced  binary tree in which  we  balance tree by performing  certain rotation that are LL , RR  , LR , RL
Score: 2.5

Student answer: AVL tree :- It is Balanced Binary Tree. 
Score: 2.5

Student answer: AVL tree is a avalanche
Score: 0.0

Student answer: it is  data structure that follows tree traversal or graph traversal algorithm
Score: 0.0

Student answer: AVL Tree is balancing tree in which Data is stored and then balanced by the rotations (LL, LR, RL, RR).
Score: 2.5
Question: What is an AVL Tree?
Reference answer: AVL trees are height balancing binary search tree. AVL tree checks the height of left and right sub-trees and assures that the difference is not more than 1. This difference is called Balance Factor. BalanceFactor = height(left-sutree) − height(right-sutree)

Student answer: An  AVL Tree is a type of Tree in which we use rotations to add an element. rotations are LL,RR,LR,RL
Score: 1.0

Student answer: in avl tree first element is considered as root node then each elements are arranged according by the comparison made by the parent node, element smaller than the parent shifted to left and element greater to parent shifted to right, and we have to check correct insertion of each element by checking its height from the ground and make necessary rotations like right right rotations etc
Score: 0.5

Student answer: AVL tree is a balanced binary search tree in which the difference of the weight of left and right side the tree can be -1,0,1. if the weight of the tree is not equal to the previously mentioned weights then we perform rotations in order to make weight = -1,0,1.
Score: 2.5

Student answer: An AVL Tree is a modification  of the tree data structure such that the difference between the height of the left sub tree and right sub tree at each node is less than equal to one. This is done in order to ensure that the searching time for an element stays in O(logn) time and not become O(n) time in worst case.
Score: 2.0

Student answer: AVL tress is a 
Score: 0.0

Student answer: it is balanced tree in which right side is greater than parent and left is smaller than parent and if goes unbalanced then rotations are performed  
Score: 2.5

Student answer: AVL tree is a tree in which height of tree is maintained there are only 2 maximum child nodes which are distributed left and right.
Score: 0.0

Student answer: avl is a part of binary tree in which time complexity is low 
Score: 0.0

Student answer: AVL tree follows property of a balance binary tree, with its all nodes arranged properly from left to right in a minimum or a maximum order.
Score: 2.5

Student answer: avl tree is maintain height of the tree  and distribute element left or right
Score: 2.5

Student answer: self balanced binary search tree.
Score: 2.5

Student answer: it is a self balancing binary search tree in which different rotations depending the different conditions \nthe following rotations can be done in a avl tree -\nrr\nll\nrl\nlr
Score: 2.5

Student answer: avl tree is also known as  avalanche tree and used in sorting.
Score: 0.0
Question: How many spanning trees can a graph has?
Reference answer: It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes.

Student answer: if there are total 6 edges in a graph then 6-1=5  spanning trees  are possible i.e. vertices-1  are the total spanning trees possible
Score: 1.0

Student answer: A graph can have if we have v vertices the number of spanning trees can be v-1\n
Score: 1.0

Student answer: minimum: 1\nmaximum: No of edges - 1
Score: 1.0

Student answer: Let V be the number of vertices inside a graph and E be the edges. Then maximum number of spanning trees is |E|-1 and  minimum number will 1.
Score: 1.0

Student answer: if there are V no. of vertices then there will be V-1 spanning tree
Score: 1.0

Student answer: No of spanning tree can be calculated by the formula  |E|^C subscript |V-1|
Score: 1.0

Student answer: |Edges| C |Vertices -1|  - no of cycles\n\n{ edges! \\ [ ( edges-vertices-1 )! * (vertices-1)! ]} - no of cycles  
Score: 1.0

Student answer: with n vertices\nspanning trees = n(n-2)
Score: 1.0

Student answer: A graph can has maximum of n of trees where n is the total no. of nodes in that tree.
Score: 1.0

Student answer: It has many spanning tress and follows the formula :- [2n C ( v+ e ) ] -[ no. of cycles] .
Score: 1.0

Student answer: The spanning tree can have (E - 1) edges and all vertexes  from the graph , (2^n-1) spanning tree can be form.
Score: 1.0

Student answer: Spanning tree in a graph is when you remove all the extra edges  forming a cycle in a graph. A graph can have multiple spanning trees.
Score: 1.0

Student answer: a graph can have infinite number number of spanning trees.
Score: 1.0

Student answer: There can be multiple spanning tree provided cost of each tree is minimum.
Score: 1.0

Student answer: The maximum number of spanning trees in a graph is equal to the number of children of the root node
Score: 1.0

Student answer: a graph can have minimum spanning trees equals to its (vertex-1)
Score: 1.0

Student answer: if a graph has V vertices and E edges, the number of spanning trees it can have is (Ec(V)) - 1.
Score: 1.0

Student answer: A graph can have many spanning tree if no cycles are formed in any of them. There can be only one or no more than a total of \
Score: 1.0

Student answer: A graph can have many  spAnning trees till the moment there are no cycles formed . also there can be only be minimum spanning tree of a 
Score: 1.0

Student answer: The spanning trees depend upon the no of cycles present in the graph. it could have n-1 spanning trees.,
Score: 1.0

Student answer: AVL tree is a special type of tree which stores values in such a way that element having value less than root node is stored in its left child, and element greater than data in root node is stored in right child. 
Score: 1.0

Student answer: a graph can have minimum spanning tree equal to number of edges.
Score: 1.0

Student answer: No. of edges-1
Score: 1.0

Student answer: E(E-1)/2, where E is the number of edges.
Score: 1.0

Student answer: E(E-1)/2,\nwhere E is the no. of edges.
Score: 1.0
Question: How many spanning trees can a graph has?
Reference answer: It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes.

Student answer: a graph can have same no of spanning tree as its edge count is.
Score: 1.0

Student answer: A graph can have 2^n spanning trees where n is the number of nodes.
Score: 1.0

Student answer: number of spanning trees that a graph can have is equal to the number of edges that a graph has
Score: 1.0

Student answer: 2 to the power of number of vertex.
Score: 1.0

Student answer: if a graph has n edges it can have n-1 spanning trees where each tree has same no. of vertices.
Score: 1.0

Student answer: Total number of spanning trees is equal to number of edges the graph has
Score: 1.0

Student answer: A graph can has Many spanning trees depending upon the tree structure. But the graph has only one minimum spanning tree.  
Score: 1.0

Student answer: A graph has n^(n-2) spanning trees. Where n represents number of nodes.
Score: 1.0

Student answer: n^(n-2) spanning trees a graph can have.
Score: 1.0

Student answer: A graph can have spanning trees equal to its vertices.\n
Score: 1.0

Student answer: A tree traversal means displaying all the elements of a tree one by one in a particular order. We can traverse tree in 4 order:\n1. pre-order.\n2. in-order.\n3. post-order.\n4. level-order.
Score: 1.0

Student answer: a graph can have multiple spanning trees but the maximum spanning trees can be equal to the number of vertices.
Score: 1.0

Student answer: A graph can have multiple spanning trees, but can only have Minimum Spanning Trees equal to the number of vertices in it.
Score: 1.0

Student answer: for n edges in the graph, there can be n factorial spanning trees.
Score: 1.0

Student answer: A graph can have multiple spanning tree. The one with the less no of participants is called minimum spanning tree.
Score: 1.0

Student answer: In AVL tree the root node is the largest, with exactly to children>\nwhere the left child<right child
Score: 1.0

Student answer: A graph can have many spanning trees .It depends on the number of  vertices of the graph....\nA graph with 'n' vertices can have 'n-1' spanning trees.
Score: 1.0

Student answer: A graph having E number of edges can have E-1 number of spanning trees.
Score: 1.0

Student answer: A graph has maximum |V| - 1 spanning trees where V is number of edges.
Score: 1.0

Student answer: |V| - 1 is the minimum number of spanning tree a graph has. 
Score: 1.0

Student answer: M-1 (M= number of vertices in the graph).
Score: 1.0

Student answer: M-1 where M is the number of vertices in the graph.
Score: 1.0

Student answer: Graph contains V number of vertices and E number of edges so the spanning tree will be having V number of vertices but E-1 number of edges. It can have 2^V or 2^N number of spanning trees.
Score: 1.0

Student answer: Number of spanning trees are equal to number of edges in a graph.
Score: 1.0

Student answer: for n nodes , n-2
Score: 1.0

Student answer: A graph can have no more than n^n-2 where for a graph with n edges.
Score: 1.0
Question: How many spanning trees can a graph has?
Reference answer: It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes.

Student answer: tree can has 2n spanning trees where n is the height of tree
Score: 1.0

Student answer: there are n-1 spanning trees whereby we can find minimum spanning trees via prims or Kruskal algorithm.
Score: 1.0

Student answer: A graph can have spanning trees equal to the no. of vertices. 
Score: 1.0

Student answer: Maximum number of mst a graph can have V ( where V is the number of vertices in the graph
Score: 1.0

Student answer: Infinite
Score: 1.0

Student answer: 2^n
Score: 1.0

Student answer: minimum n^(n-2)
Score: 1.0

Student answer: 2^n
Score: 1.0

Student answer: there can be multiple spanning trees for a single graph
Score: 1.0

Student answer: A graph can have infinite spanning trees at max.
Score: 1.0

Student answer: Graph can have many MSTs n-1
Score: 1.0

Student answer: A graph can have n-1(where n is no. of edges)  spanning trees.
Score: 1.0

Student answer: 2^(N-1) N IS NO OF VERTEX
Score: 2.5

Student answer: n^(n-2)
Score: 1.0

Student answer: A graph can have multiple spanning trees depending on how many edges it has between its nodes. If only a single edge exists between any two adjacent nodes in a graph, it will have only one spanning tree. However, if it has multiple edges then we can have multiple spanning trees. If there are weighted edges, the spanning tree with the minimum weight is called a minimum spanning tree. 
Score: 1.0

Student answer: n^(n-2)
Score: 1.0

Student answer: A graph having vertex v and edges e can have 
Score: 1.0

Student answer: if a graph has V no. of edges in its structure, then it will have (V-1) no. of spanning trees possible depending on the different weights of the graph and paths of traversal.
Score: 1.0

Student answer: 1 to many.
Score: 1.0

Student answer: edge - 1;
Score: 1.0

Student answer: the graph can have n-1 no. of spanning trees where n is the no. of nodes in the graph.
Score: 1.0

Student answer: the number of spanning trees of a graph are equal to the number of vertices of the graph
Score: 1.0

Student answer: The graph can have 
Score: 1.0

Student answer: no of nodes-1
Score: 1.0

Student answer: the spanning tree an graph can have n^n-2
Score: 1.0

Student answer: If there are N vertices, a graph can have N - 1 Spanning Trees
Score: 1.0

Student answer: a graph can have as many spanning trees as possible and the solution might differ so there is no one correct answer.But there can be only 1 Minimum spanning tree unless the weights are similar. 
Score: 1.0

Student answer: a graph can has a maximum of n^(n-2) number of spanning trees. 
Score: 1.0

Student answer: as many no of edges are there in a graph
Score: 1.0

Student answer: (number of vertices -1)  is the number of spanning trees a graph can has
Score: 1.0

Student answer: a graph can have minimum spanning tree= number of number of edges-number of vertices+1 
Score: 1.0

Student answer: (n^(n-2)) spanning tress can be made from a graph. 
Score: 1.0
Question: How many spanning trees can a graph has?
Reference answer: It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes.

Student answer: spanning trees can a graph has depend on number of vertices. if graph has 6 vertices then graph have 6 spanning trees.
Score: 1.0

Student answer: n^n-2 number of spanning trees where n is number of nodes.
Score: 1.0

Student answer: A graph can have many spanning trees unless it is not forming cycle.
Score: 1.0

Student answer: Minimum 2
Score: 1.0

Student answer: The no. of spanning tree are equal to the no. of vertices that are making a round.
Score: 1.0

Student answer:  minimum of  1 and maximum n^(n-2)\n
Score: 1.0

Student answer: max spanning trees can be no. of vertex+1
Score: 1.0

Student answer: The number of spanning trees a graph can have is the number of nodes it has.
Score: 1.0

Student answer: n (n-2)
Score: 1.0

Student answer: AVL Tree is the Binary Search Tree with the condition that the Nodes have weights. It is a balanced Binary tree.
Score: 1.0

Student answer: AVL tree is a balanced binary tree
Score: 1.0

Student answer: A graph can have as many/multiple spanning trees as there are there are the number of ways of travelling through it.
Score: 1.0

Student answer: number of vertices of graph - 2
Score: 2.0

Student answer: V-2\nV=no of vertices
Score: 1.0

Student answer: equal to number of edges.
Score: 2.0

Student answer: n to the power (n-2).
Score: 1.0

Student answer: 2^n
Score: 2.0

Student answer: maximum nn-2
Score: 1.0

Student answer: Graph with number of edges as E can have E number of spanning trees..
Score: 1.0

Student answer: A graph can have (V-1) spanning trees.
Score: 2.0

Student answer: graph can have multiple spanning trees.
Score: 2.0

Student answer: many but only one mst
Score: 1.0

Student answer: Number of spanning trees= number of nodes + number of edges to be removed to make a spanning tree
Score: 2.0

Student answer: number of spanning trees that  a graph has
Score: 2.0

Student answer: (Number of Edges) Combinations (Number of vertices - 1) [We have to ensure parallel/self edges are removed and while formation of MST, cycles are not formed]
Score: 1.0

Student answer: Avl tress are red black tress.
Score: 2.0

Student answer: equal to the no of vertices
Score: 2.0

Student answer: there are N^(N-2)   spanning trees in the graph where N are number of nodes.
Score: 1.0

Student answer: n^n-2
Score: 1.0

Student answer: An additional balanced binary search tree is the AVL tree. Similar to red-black trees, they are not completely balanced, but pairs of sub-trees have height differences between them of not more than 1, preserving an O(logn) search time.
Score: 1.0

Student answer: (V*E)/2
Score: 1.0

Student answer: n(n-2), where n is no. of vertices
Score: 2.0

Student answer: Spanning trees can be made by removing edges from the original tree by keeping in mind that the resulting graph should not be connected. 
Score: 1.0

Student answer: a graph can have many  spanning trees as possible but only one minimum spanning tree.
Score: 1.0
Question: How many spanning trees can a graph has?
Reference answer: It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes.

Student answer: spanning tree = vertex -1
Score: 2.0

Student answer: A connected graph has 2^n spanning trees where n is number of nodes.
Score: 2.0

Student answer: quick sort select a random allie and then according to that it sorted the present array, then this process is applied to further sub arrays until we get the sorted array.
Score: 1.0

Student answer: Only three spanning trees are possible of a complete graph.
Score: 2.0

Student answer: E - V + 1 where E is the no. of edges , V is the no. of vertices in the graph.
Score: 2.0

Student answer: a graph can have many number of spanning trees depending on number of nodes and which node is connected to which one
Score: 1.0

Student answer: infinite
Score: 1.0

Student answer: The number of edges.
Score: 1.0

Student answer: An AVL tree is a special type of Binary search Tree in which the difference between the left and right height of the subtrees cannot exceed 1.
Score: 1.0

Student answer: maximum of  1.3 trillion or 3^20 
Score: 2.0

Student answer: a graph can have infinite number of spanning trees.
Score: 1.0

Student answer: n-2 graph\n
Score: 1.0

Student answer: not more than [n*n-1] spanning trees can a graph has
Score: 2.0

Student answer: A graph can has E number of spanning trees where E is the number of edges of the graph.
Score: 2.0

Student answer: it can have (n-1) spanning where n is number of nodes
Score: 2.0

Student answer: A graph can have infinite spanning tree
Score: 2.0

Student answer: A graph can have N+1 spanning trees if number of nodes is N.
Score: 1.0

Student answer: a graph can have number of vertices - 1 spanning trees
Score: 1.0

Student answer: avl tree is similar to red black tree but in this case the height difference of the left and right side is maintained thus it is used to make a tree more balanced.
Score: 1.0

Student answer: a graph has same number of spanning trees as its number of edges.
Score: 1.0

Student answer: at most N where N is the number of node in graph 
Score: 1.0

Student answer: A spanning tree is  a sub-graph of an undirected connected graph,which includes all the vertices of a graph with a minimum possible number of edges.,if vertex is missed ,then its not a spanning tree. The edges may or may not have weights attached to them.
Score: 2.0

Student answer: A graph can have multiple spanning trees and it depends of which graph we are creating the spanning tree.
Score: 2.0

Student answer: A graph can have many spanning trees
Score: 2.0

Student answer: AVL Tree refers to the tree that is created by inserting each and every element and then by changing the position ,if required.
Score: 1.0

Student answer: total edges -(n-1) where n is the number of nodes 
Score: 2.0

Student answer: A graph can have spanning trees equal to number of nodes in that graph.
Score: 2.0

Student answer: A graph can has many spanning trees but it has only one minimum spanning tree.
Score: 2.0
Question: How many spanning trees can a graph has?
Reference answer: It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes.

Student answer: a graph can hav any number of spanning tree. It would mainly depend on the number of edges, more the edges, more spanning trees can be formed.
Score: 2.0

Student answer: if the number of vertices is 1 then the graph can have v-1 spanning trees.
Score: 2.0

Student answer: A graph can have mutiple spanning tree we can find by removing edges and hence having no. of edges! possibilities.
Score: 2.0

Student answer: no. of spanning trees is equal to no. of edges
Score: 2.0

Student answer: there are many spanning trees which are there for a graph, but there can be only one spanning tree of the graph.
Score: 2.0

Student answer: Condition the number of spanning tree= the (n-1) edges and 'n' number of vertices.  
Score: 2.0

Student answer: An AVL tree is a type of BST in which the parent node is bigger than the child node and it is made by rotations.
Score: 2.0

Student answer: A graph can have many spanning trees till it follows the condition of v vertices and  v-1 edges.
Score: 2.0

Student answer: if number of vertices is N the there will be N-1 spanning trees
Score: 2.0

Student answer: A graph can have spanning trees equal to (V-1) !
Score: 2.0

Student answer: A graph can have 2^(n - 1) spanning trees where n is the number of vertices.
Score: 2.0

Student answer: a graph can have E (edges of graph) number of spanning tree.
Score: 2.0

Student answer: 2^(n-1) spanning trees can be made. 
Score: 2.0

Student answer: The total number of spanning trees with n vertices that can be created from a complete graph is equal to n (n-2). 
Score: 2.0

Student answer: n-1 edges spanning tree a graph can have
Score: 2.0

Student answer: the number of spanning trees that a graph can have depends on the number of nodes present in the graph.\nfor N nodes , there could be 2*N spanning trees possible
Score: 2.0

Student answer: A graph with e edges and v vertices can have (e-1) number of spanning trees
Score: 2.0

Student answer: 1
Score: 0.0

Student answer: no of spanning tree a graph can have is    N^(N-2)
Score: 1.0

Student answer: we can use maximum (n^n-1) spanning trees in a graph
Score: 1.0

Student answer: A complete unidirected graph can have maximum of (n^(n-2)) number of spanning trees.
Score: 1.0

Student answer: \nmaximum spanning trees in a graph can be is n^n-2 in which n is the number of nodes in the graph
Score: 1.0

Student answer: A graph can have a maximum of n^(n-2) spanning trees where n=number of nodes 
Score: 1.0

Student answer: n^(n-2)
Score: 1.0

Student answer: THE NUMBER OF SPANNING TREE = V*E
Score: 1.0

Student answer: 2^n
Score: 1.0

Student answer: a graph can have a minimum of n^(n-2) spanning trees.
Score: 1.0

Student answer: It is not necessary that a graph can have only one spanning tree it can have many spanning tree also there can be more than one minimum spanning tree (MST).
Score: 1.0
Question: How many spanning trees can a graph has?
Reference answer: It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes.

Student answer: A graph can have many spanning trees in which one them is minimum spanning tree which has minimum weight from source to destination.
Score: 1.0

Student answer: a graph can have many spanning trees.
Score: 1.0

Student answer: a graph has n^(n-2) spanning trees.
Score: 1.0

Student answer: a graph can have any number of spanning tree given the sum of the weight of all the edges combined in them is minimum possible and no cycle present\n
Score: 1.0

Student answer: suppose a graph having e edges involved in cycle then e no spanning trees are possible
Score: 1.0

Student answer: a complete undirected graph can have a maximum n^(n-2) number of spanning tree
Score: 1.0

Student answer: Tree traversal is basically our pointer which traverses through a data structure which is in tree form, It can be done through various methods. And it includes traversing through different nodes from root nodes to leaf nodes to find/manipulate our elements. For ex- BFS,DFS, etc.
Score: 1.0

Student answer:  It can have a  maximum of  (n^n)-2.
Score: 1.0

Student answer: If there are n edges.\nn!
Score: 1.0

Student answer: A graph can have a maximum (n-1) spanning trees, where n = no. of vertices graph have.
Score: 1.0

Student answer: A graph can have multiple spanning trees it depends on number of edges and vertices.
Score: 1.0

Student answer: If n is the no of vertices,then a graph can have n-1 spanning trees.
Score: 1.0

Student answer: We can have different number of spanning trees in a graph depending upon the number of edges and vertices present in the graph.
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Student answer: There can be multiple spanning trees. If there are 0 pairs of edges with the same weight then the graph will produce an identical minimum spanning tree.\nA general rule is that ANY GRAPH HAS N-1 SPANNING TREES. \nwhere N = number of vertices or nodes in the graph.
Score: 1.0

Student answer: there can be 1 or more than 1 spanning trees in a graph
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Student answer: many spanning trees can be there depending upon the edges and vertices
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Student answer: tree traversal means visiting every node from the parent to the root nodes. Inorder , Preorder, postorder and levelorder are the various ways to traverse a tree.\n
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Student answer: a graph can have 1 or more than 1 spanning tree. spanning tree is a tree in which all the nodes are covered and there is no cycle present.
Score: 1.0

Student answer: number of edges(number of edges -1)
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Student answer: a graph can have number   n*(n-1)  of spanning trees.
Score: 1.0

Student answer: 2
Score: 0.0

Student answer: 2^n
Score: 0.0

Student answer: only one and depends on the graph path costing
Score: 0.5

Student answer: n^2 (n being number of vertices)
Score: 0.0

Student answer: A graph can have indefinite number of spanning tree.
Score: 0.0

Student answer: number of spanning trees a complete graph with n nodes can have is : 2^n
Score: 0.0
Question: How many spanning trees can a graph has?
Reference answer: It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes.

Student answer: there can be as many spanning tree as we want but minimum spanning tree (total no.of vertices-total no.of edges) 
Score: 1.0

Student answer: if a graph has m trees than the no, of spanning tree are m-1
Score: 0.5

Student answer: There can be infinite spanning trees for a given graph.
Score: 0.0

Student answer: The number of spanning trees that a graph can have is equal to the number of edges in the graph.
Score: 1.0

Student answer: infinite
Score: 0.0

Student answer: e-1 where e is the number of edged
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Student answer: The number of spanning tree that a graph can have is equal to the n*(n-2) where n is the number of vertices that it contains. It also contains a minimum spanning tree that can only be one and unique for a graph.
Score: 0.0

Student answer: Spanning Tree is not unique to a graph. Actually a graph can have a number of spanning trees.
Score: 1.0

Student answer: infinite spaning tree can a graph has
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Student answer: it can have 0 (it its not connected), 1 or more than 1 as well.
Score: 1.0

Student answer: no of subgraphs -1    or n(n-2)    
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Student answer: if a graph has n vertices then there will be \nn spanning trees for closed graph and n-1 for unclosed graph 
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Student answer: let a graph G has V vertices and E edges, represented as G(V,E) ,then a graph can have maximum V number of spanning trees.
Score: 0.0

Student answer: It depends on the conditions that how many graphs are to be formed.
Score: 1.0

Student answer: graph can't have a spanning tree because in graph cycle can be formed but in spanning tree a cycle can't be formed so no one
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Student answer: A graph can have several spanning trees depending on what path you choose for traversal.
Score: 1.0

Student answer: if tree has n edges then we can have n number of spanning trees
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Student answer: if graph has n edges then n number of spanning tree\nMinimum weights  can a graph has.
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Student answer: 2
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Student answer: infinite 
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Student answer: n= no. of edges\n-> No. of spanning trees = n
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Student answer: a graph can have multiple spanning  trees but only one mst.
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Student answer: spanning trees can have  acco
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Student answer: Spanning trees a graph can have are :- 2^(n)\nwhere n = no. of edges in a graph
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Student answer: A graph can have multiple spanning trees
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Student answer: 2^n - no of closed path 
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Student answer: no.of nodes -1
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Student answer: in graph G , it has V vertices and E edges , so it can make V number of spanning trees
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Student answer: number of edges - 1
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Student answer: The no of spanning tree is depends on the no of vertex in the tree we can have the equal amount of spanning tree the no which we have in a graph 
Score: 0.0
Question: How many spanning trees can a graph has?
Reference answer: It depends on how connected the graph is. A complete undirected graph can have maximum nn-1 number of spanning trees, where n is number of nodes.

Student answer: A graph can have many spanning trees, a generalized formula fo the total no of spanning trees a graph can have 2^(N-1), where N is no of edges.
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Student answer: one
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Student answer: Minimum spanning tree (Mst).
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Student answer: the number of spanning trees possiable is 2^n
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Student answer: there would be no spanning tree in a graph
Score: 0.0
Question: What is a heap in data structure?
Reference answer: Heap is a special balanced binary tree data structure where root-node key is compared with its children and arranged accordingly. A min-heap, a parent node has key value less than its childs and a max-heap parent node has value greater than its childs.

Student answer: heap stores the values dynamically i.e at the runtime 
Score: 2.0

Student answer: in a heap data structure the elements can be represented from either max to min or min to max depending on the heap we use if we use min heap the minimum element is present in the root node if we use max heap the maximum element is present in the root node heap can be used as priority queue 
Score: 2.0

Student answer: Heap Data Structure has two types: minheap and maxheap. Heap arranges data in a state tree and then checks if any child is not smaller(minheap) or larger(maxheap)than its parent
Score: 2.0

Student answer: heap is a data structure that stores data in min or max form. min heap has lowest data as root and each element follows this. Vice versa in maxheap where max is at root and else are smaller and same logic is applied to each node.
Score: 2.0

Student answer: Heap is a data structure used to store data in tree type format and using build heap and always parents value is greater than its child
Score: 2.5

Student answer: heap is a tree based data structure in which all nodes of tree  are in specific order .
Score: 2.5

Student answer: heap is implemented using tree \nthere are two types of heap \nmin heap - parent node is always less than its child nodes\nmax heap - parent node is always greater than its child nodes
Score: 2.0

Student answer: Heap is a special case of balanced binary tree data structure where the root-node key is compared with its children and arranged accordingly
Score: 1.0

Student answer: A heap is a non linear  data structure which uses dynamic memory and whose size can be increased or decreased as per our choice and which stores the index of the value present in array.
Score: 2.5

Student answer: Heap is way of colleting the data one over another for the usage . We can store the data in two forms of the heap , that is min heap or max heap . \nIn min heap the data is stored in ascending order and descending order in max heap .
Score: 2.5

Student answer: Heap in data structures is a function  which consist of two form one min heap and max  heap. In min heap all the values are arranged which are minimum and then are read or store. And in max heap all the values which are large are store and read.
Score: 2.0

Student answer: Heap is a data structure similar to that of a tree but stores the data in two different kind of formats , either by using MAXIMUM values or  MINIMUM values.
Score: 2.5

Student answer: A tree where parent node is greater/smaller than the all children node. 
Score: 2.5

Student answer: The heap data structure employs a condition where parent is either smaller or greater than all its children elements
Score: 2.5

Student answer: A graph can have, n^(n-2) number of spanning trees.
Score: 0.0
Question: What is a heap in data structure?
Reference answer: Heap is a special balanced binary tree data structure where root-node key is compared with its children and arranged accordingly. A min-heap, a parent node has key value less than its childs and a max-heap parent node has value greater than its childs.

Student answer: heap  data structure is used to sort the array in minimum complexity of 0(logn) it gives the minimum or maximum element on the top according to priority queue used 
Score: 2.0

Student answer: Heap data structure is a data structure which is used to extract the max element(max heap) and min element(min heap) easily.
Score: 1.0

Student answer:  spanning trees for a graph with  \
Score: 2.5

Student answer: A heap data structure is very similar to the tree data swtructure , it has a root and it has nodes . 
Score: 1.0

Student answer: Heap data structure stores value in the form of tree and then the heap is sorted where increasing or decreasing order (max or min heap) and can be useful for traversing the particular element. 
Score: 0.0

Student answer: Spanning tree of a graph is a special tree where number of vertices are same as parent graph, but there should not be any cycles present. 
Score: 0.0

Student answer: heap is data structure , like priority queue .\nwe have here max and min heap to solve our problem like max and min operation  in an efficient way 
Score: 2.5

Student answer: Two types of heap Min-heap and Max-heap.\nIn min heap the data is sorted in ascending order in the form of a tree in which the minimum element is the root .\nIn max heap the data is sorted in descending order in the form of a tree in which the maximum element is the root .
Score: 2.5

Student answer: It is a complete binary tree where every node has either 0 or 2 children. There are two types of heaps - minHeap where the minimum element is placed at the root and maxHeap where the maximum element is placed at the root.
Score: 2.5

Student answer: Heap data structure is a complete binary tree which has either 0 or 2 children and further heap is divided into two sub categories minheap and maxheap. Minheap has minimum element in the root node and maxheap has maximum element in the root node. The traversal goes down by comparing both the children and the one min is swapped with the parent node for that child.
Score: 2.5

Student answer: if is the data structure used to store information in sorted order. If the Heap is Max heap  then it will store data in such a manner that data of the child node is always less then the parent node. If it is min heap then it will store in such a manner that data of parent is always less then child. 
Score: 1.0

Student answer: A heap is a data structure that stores data in the form of a tree either in ascending order(min-heap) or descending order(max-heap).
Score: 2.0

Student answer: heap is used when we have to store the elements which are already sorted. There are two types of heaps that is min heap and max heap. max heap is a heap in which the child node is always less than the parent node, whereas in min heap it makes sure that the parent node is less than the child node.
Score: 1.0
Question: What is a heap in data structure?
Reference answer: Heap is a special balanced binary tree data structure where root-node key is compared with its children and arranged accordingly. A min-heap, a parent node has key value less than its childs and a max-heap parent node has value greater than its childs.

Student answer: heap is basically of two types:\n1)  min heap: value of parent node is lesser then the its children\n2) max heap: value of parent node is greater then the its children
Score: 2.0

Student answer: heap is a data structure which is basically a complete binary tree in which each node will be greater than its child nodes or smaller than its child nodes.
Score: 2.0

Student answer: Heap is the data structure with time complexity of n log(n).\nInstead of sorting nodes one by one before placing in the tree. Heap helps us to sort them in the tree only there are 2 types of heap max heap and min heap.\nit select the minimum value in the heap and traverse it upwards by swapping from upper node one by one and then arrange if there is disturbance in other nodes this is known as min heap.
Score: 2.0

Student answer: Heap is a data structure based on tree. A heap is a complete binary tree.
Score: 1.0

Student answer: heap is a data structure that is made up of complete binary tree. It helps in extracting max or min element.
Score: 2.0

Student answer: Heap is a kind of data structure which help in arranging the data in a ascending or descending order . Heaps are of 2 types MIN-HEAP and MAX-HEAPS.
Score: 2.0

Student answer: An AVL tree is the one which is a balanced binary tree i.e. every node has its (max left child length- max right child length)=1,0,-1.
Score: 0.0

Student answer: A heap is a complete binary tree in which we cant move to the next level without filling the current level. It can be made using priority queue.
Score: 2.5

Student answer: Heap is a data structure, which all the elements of a tree are stored in an array or linked list. If the parent node is at nth index in the array, then the first child is at 2n+1, second child at 2n+2 and so on. It is a representation of a tree in form of an array or linked list.
Score: 1.0

Student answer: Heap refers to the data structures where the root and intermediate nodes have right and left children which are 2n+1 and 2n+2 respectively for parent node located at n index. Heap can be implemented using arrays, linked list and trees. In case of max and min heap , parent node is greater or smaller than child nodes respectively and on any deletion or insertion of a value it rearranges to maintain the same conditions..
Score: 2.0

Student answer: Heap is a data structure that is based on the advanced version of queues that is priority queues. 
Score: 1.0

Student answer: A graph with n vertices can have n-1 spanning trees. As there can be multiple ways to join all vertices but not create a cycle.
Score: 0.0

Student answer: A heap is another type of array of a data structure.
Score: 1.0
Question: What is a heap in data structure?
Reference answer: Heap is a special balanced binary tree data structure where root-node key is compared with its children and arranged accordingly. A min-heap, a parent node has key value less than its childs and a max-heap parent node has value greater than its childs.

Student answer: Heap in data structure uses trees for implementation, there are two types of heaps a max heap where all the child nodes are smaller than the parent element and min heap where all the child nodes are greater than the parent node. 
Score: 2.0

Student answer: A heap is Data Structure is a dynamic data structure that is used to store data either in ascending order(Min Heap) or Descending Order as Max Heap.
Score: 2.5

Student answer: Heap is a type of data structure to store the data ascendingly or in descending order i.e. 'min Heap' or 'max Heap'. 
Score: 1.0

Student answer: Heap is a kind of data structure to store the data ascending or in descending order.
Score: 1.0

Student answer: Heap is used to store the data in increasing or non-increasing order.
Score: 1.0

Student answer: Heap is a data structure that stores data which have operations like heap sort and heapify. These are of two types: Min heap and Mex heap. Min heaps are formed by keeping the root node minimum and as data at the leaf as maximum whereas in case of max heap we have root as maximum and leaf as minimum.
Score: 2.5

Student answer: A data structure (array) which can be represented as the complete binary tree and having it parent node smaller than its children node(min heap) is called a heap.
Score: 2.5

Student answer: A heap is a specialized tree-based data structure that is used to maintain a collection of elements where the highest (or lowest) priority element can be accessed quickly. It has two main variants: max-heap and min-heap. In a max-heap, the parent node is always greater than or equal to its children nodes, while in a min-heap, the parent node is always less than or equal to its children nodes. Heaps are commonly used in algorithms such as heap sort and priority queues.
Score: 2.5

Student answer: heap is an data structure in which the tree is a complete binary tree and is a special binary tree.
Score: 2.0

Student answer: Heap is a dynamic data structure that contains the address of values rather that storing them itself which makes it fast and efficient
Score: 1.0

Student answer: It is the memory in which data is stored temporarily when operations are being carried out.
Score: 1.0

Student answer: a heap is an optimized form of priority queue which is used to store the numbers in such a manner that it is easier to find the number and do the required operations
Score: 2.0

Student answer: Heap data structure is basically a binary tree. It can be of two types - min heap and max heap\nHeap in data structure is a binary tree.
Score: 2.5