Nous: Hermes 2 Vision 7B (alpha) evaluations

<image 1> What does the above NFA recognize. Write your answer in regular expression.

(A) aa*|bb*

(B) a*|bb*

(C) aa*|b*

(D) a*|b*

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What kind of matrix traversal is <image 1>?

(A) Normal traversal of the matrix.

(B) Row-wise traversal of the matrix.

(C) Column-wise traversal of the matrix.

(D) spiral traversal of the matrix.

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Consider the following graph:Which one of the following cannot be the sequence of edges added, in that order, to a minimum spanning tree using Kruskal's algorithm?<image 1>

(A) (a-b),(d-f),(b-f),(d-c),(d-e)

(B) (a-b),(d-f),(d-c),(b-f),(d-e)

(C) (d-f),(a-b),(d-c),(b-f),(d-e)

(D) (d-f),(a-b),(b-f),(d-e),(d-c)

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<image 1> What does this structure mean?

(A) s

(B) s+

(C) s*

(D) ss

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What type of relationship is WORKS_ON in <image 1>?

(A) 1:1

(B) 1:N

(C) N:1

(D) N:M

(E) None of the other answers.

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Which schedule is an equivalent serial schedule for the precendence graph in <image 1>?

(A) T3 -> T1 -> T2

(B) T2 -> T1 -> T3

(C) T1 -> T2 -> T3

(D) There are no serial schedules for the graph.

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Suppose we have a training set with m=3 examples,plotted below.Our hypothes is representation is $h_{\theta}(x) = \theta_1x$, with parameter $\theta_1$. The cost function $J(\theta_1)$ is $J(\theta_1)$=${1\over2m}\sum\nolimits_{i=1}^m(h_\theta(x^i) - y^i)^2$. What is $J(0)$?<image 1>

(A) 0

(B) 1/6

(C) 1

(D) 14/6

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In the following graph, discovery time stamps and finishing time stamps of Depth First Search (DFS) are shown as x/y, where x is discovery time stamp and y is finishing time stamp. <image 1> shows which of the following depth first forests?

(A) {a, b, e} {c, d, h} {f, g}

(B) {a, b, e} {f, g} {c, d} {h}

(C) {a, b, e} {f, g} {c, d} {h}

(D) {a, b, e} {c, d, f, g, h}

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Among the following binary trees, which one may become a binary search decision tree (excluding external nodes)

(A) <image 1>

(B) <image 2>

(C) <image 3>

(D) <image 4>

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Given the adjacency matrix of a weighted undirected graph as follows, the total weight of its minimum spanning tree is:<image 1>

(A) 22

(B) 20

(C) 15

(D) 8

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Consider the scenario shown below, with four different servers connected to four different clients over four three-hop paths. The four pairs share a common middle hop with a transmission capacity of R = 300 Mbps. The four links from the servers to the shared link have a transmission capacity of RS = 80 Mbps. Each of the four links from the shared middle link to a client has a transmission capacity of RC = 60 Mbps. <image 1> What is the maximum achievable end-end throughput (in Mbps) for each of four client-to-server pairs, assuming that the middle link is fairly shared (divides its transmission rate equally)? Omit the unit of Mbps.

<image 1> What is the DAG shown above for?

(A) ((x + y) - ((x + y) * (x - y))) - ((x + y) * (x - y))

(B) ((x - y) - ((x + y) * (x - y))) + ((x + y) * (x - y))

(C) (x - ((x + y) * (x - y))) + ((x + y) * (x - y))

(D) ((x + y) - ((x + y) * (x - y))) + ((x + y) * (x - y))

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The maximum flow from v1 to v6 is ____: <image 1>

(A) 11

(B) 0

(C) 12

(D) 13

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A hash table of length 10 uses open addressing with hash function h(k)=k mod 10, and linear probing. After inserting 6 values into an empty hash table, the table is as shown below. Which one of the following choices gives a possible order in which the key values could have been inserted in the table?<image 1>

(A) 46, 42, 34, 52, 23, 33

(B) 34, 42, 23, 52, 33, 46

(C) 46, 34, 42, 23, 52, 33

(D) 42, 46, 33, 23, 34, 52

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You train a learning algorithm,and find that it has unacceptably high error on the test set.You plot the learning curve,and obtain the figure below.Is the algorithm suffering from high bias,high variance,or neither?<image 1>

(A) High bias

(B) High variance

(C) Neither

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What data structure is pictured in <image 1>?

(A) Singly linked list

(B) Doubly linked list

(C) Circularly linked list

(D) Array

(E) None of the other answers

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<image 1> shows a DFA. Is it minimal?

(A) yes

(B) no

(C) not sure

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In the scenario below, imagine that you're sending an http request to another machine somewhere on the network. <image 1> What layer in the IP stack best corresponds to the phrase: 'moves datagrams from the source host to the destination host'

(A) Application Layer

(B) Transport Layer

(C) Network Layer

(D) Link Layer

(E) Physical Layer

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Delete the minimum number from the given leftist heap. Which one of the following statements is TRUE? <image 1>

(A) 8 is NOT the root

(B) 12 is the right child of 8

(C) 24 is the left child of 13

(D) 35 is the right child of 24

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Which process will finish last in the resource-allocation graph in <image 1>?

(A) P1

(B) P2

(C) P3

(D) There is a deadlock

(E) Not enough information to tell.

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