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Convolutional neural network. Consider the following partially completed program which defines a convolutional neural network. Unless specified, assume zero padding and stride . (a) (3 pts) Suppose we feed this model with an input image tensor of shape 32 x 32 x 3, i.e., an RGB image with height and width of 32 pixels. After the first Conv2d layer (line 7), what is the shape of the output feature map? Height = [a1], Width = [a2], # Channels = [a3]. (b) (2 pts) How many trainable parameters does this Conv2d layer (line 7) have? You may disregard the bias terms. [b] (c) (1 pt) How many trainable parameters does the first max-pooling layer (line 9) have? [c] (d) (1 pt) How many filters/kernels are used in the second Conv2D layer (line 11)? [d] (e) (3 pts) In line 15, nn.Flatten() reshapes the output of the second convolutional block into a vector for each image. The network then passes the vector to fully-connected layers. The code for the first fully-connected layer is missing (line 18). Complete the definition based on the rest of the code. [e] (f) (1 pt) This network is originally design for a classification task with 10 classes. Assume the task later changes to 20 classes. Which line must be changed to reflect this? Line [f]

Writing Finish the following sentence starter by combining the phrases from each column to form a grammatically correct sentence in Spanish. Cuando yo era joven…               á               é                 í                ó                ú mis padres dudaban que yo poder programmar

24. David owns two adjoining parcels of property, Blackacre and Whiteacre. Powerlines crossing the adjacent parcels carry power from Blackacre to Whiteacre. David sells Whiteacre to Steve for industrial use. In order to allow Steve’s use of Whiteacre, at the time of the sale of Whiteacre, David granted Steve access through Blackacre for electric power lines that cross Blackacre. The deed from David to Steve does not refer to the power lines or to Steve’s ability to access them via Blackacre. Over the next six months, Steve spent $25,000 in order to prepare the property for his industrial operations. Over the following year, Steve accessed the power to conduct his operations on Whiteacre through the power lines crossing Blackacre. If David later tries to deny Steve’s ability to access the property, Steve should argue that:

17. Seven years ago, a man conveyed vacant land by warranty deed to a woman, a bona fide purchaser for value. The woman did not record the warranty deed and did not enter into possession of the land.   Five years ago, the man conveyed the same land to a neighbor, also a bona fide purchaser for value, by a quitclaim deed. The neighbor immediately recorded the quitclaim deed and went into possession of the land.   Two years ago, the neighbor conveyed the land to a friend, who had notice of the prior conveyance from the man to the woman. The friend never recorded the deed but went into immediate possession of the land.   The jurisdiction has a notice recording statute and a grantor-grantee index system.   If the woman sues to eject the friend, will the woman be likely to succeed?

Questions 9 – 10 are based on the following fact situation: 9. Mike, who owns Blackacre in fee simple absolute, conveyed Blackacre “to Hill, if Hill is elected Senator.” At the time of the conveyance, Hill is 36 years old. Is this conveyance valid or void pursuant to the Rule Against Perpetuities?

Questions 9 – 10 are based on the following fact situation: 10. Mike, who owns Blackacre in fee simple absolute, conveyed Blackacre “to Hill, if Hill is elected Senator.” At the time of the conveyance, Hill is 36 years old. Is this conveyance valid or void pursuant to the Uniform Statutory Rule Against Perpetuities?

22. Russell owns 30 acres of vacant property and plans to use it for residential development. Without Russell’s permission, the United States Postal Service installed a permanent mailbox on one corner of the property. The mailbox was mounted on a wooden fence post placed in a concrete slab, and takes up approximately 2.5 square feet of land. Russell demanded that the mailbox be removed, as he does not want to receive mail at this property which he rarely visits, and does not want his mail to be stolen. If Russell files an action seeking a determination that the mailbox constitutes a taking of his property without just compensation, what is the most likely outcome?

8. Crystal sold her 10-acre lot of vacant land to Monica for $100,000. At closing, Crystal delivered a deed to Monica. Shortly after closing the purchase, Monica realized that there was an easement to the local sewer company to use the vacant land as a holding ground for their garbage trucks. If Monica sues Crystal for breach of covenant and loses, which of the following, if true, would provide the strongest legal argument for Monica losing?

21. A man conveyed land by quitclaim deed as a gift to his cousin, who did not then record the deed or take possession of the land. Six months later, when the man was still in possession, he conveyed the land by quitclaim deed as a gift to a friend, who knew nothing of the deed to the cousin. The friend did not record his deed. The man then vacated the land, and the friend took possession.   The recording act of the jurisdiction provides as follows: “No unrecorded conveyance or mortgage of real property shall be good against subsequent purchasers for value without notice, who shall first record.”   Recently, the cousin learned about the friend’s deed and possession, immediately recorded her deed, and sued the friend for possession and to quiet title. The friend then recorded his deed and raised all available defenses.   For whom is the court likely to decide?

11. Blake conveyed his farm to “Forrester for life, then to Peter for ten years, then to Ted.” Shortly after the conveyance, Blake, Peter and Ted died in a freak accident on a boat, each without a will. Ten years later, Forrester passes away. Who owns the farm?