MikaStars39/nano-eval huggingface dataset:
The famous assertion "the gaze itself is a source of pleasure" was proposed by ( ).

Options:
A. John Berger
B. Jean-Louis Baudry
C. Mary Ann Doane
D. Mitchell
E. Jacques Lacan
F. Gledhill
G. Laura Mulvey
H. Susan Sontag
I. Judith Butler
J. Richard Dyer
Answer: G
The concept of the "male gaze" originates from ___ film theory.

Options:
A. Structuralism
B. Formalism
C. Psychoanalysis
D. Marxism
E. Pragmatism
F. Surrealism
G. Hermeneutics
H. Ideology
I. Feminism
J. Postmodernism
Answer: I
The birth of radio broadcasting: On December 25, 1906, the successful experiment by American electrical engineering professor Fessenden from the University of Pittsburgh was the invention of ( ).

Options:
A. Radio station
B. Vacuum Tube Receiver
C. Digital Transmitter
D. Transmitter
E. Low-frequency Oscillator
F. Analog Frequency Modulator
G. Radio receiver
H. Wireless Telegraph Mechanism
I. Experimental station
J. Closed-circuit Transmitter
Answer: I
In Chinese calligraphy, which script appeared before the Clerical Script and was commonly used in official documents?

Options:
A. Regular Script
B. Running Script
C. Seal Script
D. Wei Bei Script
E. Bronze Inscriptions Script
F. Cursive Script
G. Bamboo Slip Script
H. Small Seal Script
I. Eight-Legged Essay Script
J. Oracle Bone Script
Answer: C
What is the philosophical significance of music in ancient China?

Options:
A. Reflection of nature
B. Expression of morality
C. Cultural inheritance
D. Representation of hierarchy
E. Indicator of wealth
F. Manifestation of governance
G. Echo of cosmology
H. Symbol of materialism
I. Symbol of power
J. Measure of virtue
Answer: B
A family contracted with a moving company to move their belongings from an apartment they were renting to a new home. The total price of the move was $1,200. The contract stated that the date of the move needed to be the last day of the month or earlier, so that the family could avoid paying extra rent for holding over at their apartment. Staying extra days at the apartment were charged at $100 per day. On the morning of the move, the last day of the month, the moving company's owner contacted the family and informed them that his company would be unable to move the family and suggested that the family contact other movers. The family contacted three reputable movers, and the cheapest alternative was a $2,000 move on the third day of the month, which also happened to be the earliest any company would do the move. With no other options, the family agreed. At the end of the move, the family discovered that the new movers had placed an identifying sticker on an antique table. The sticker's adhesive caused $400 in damage to the table's finish.
In a breach of contract claim brought by the family against the original moving company, what damages, if any, would the family be likely to recover?

Options:
A. $1,500 (the difference between the original contract price and the new movers' price, plus the three-day holdover charge, plus the table damage).
B. $900 (the difference between the original contract price and the new movers' price, minus the table damage).
C. More than $1,500 (all of the above damages, plus damages to be determined by the fact finder for the inconvenience suffered by the family).
D. $800 (the difference between the original contract price and the new movers' price).
E. $2,000 (the new movers' price without deductions for damages to the table).
F. $1,200 (the original contract price and an allowance for inconvenience suffered by the family).
G. $1,100 (the difference between the original contract price and the new movers' price, plus the three-day holdover charge).
H. $1,300 (the difference between the original contract price and the new movers' price, plus a partial table damage).
I. $1,600 (the difference between the original contract price and the new movers' price, plus compensation for inconvenience).
J. $1,400 (the difference between the original contract price and the new movers' price, plus a full refund for the inconvenience).
Answer: G
A contractor agreed to build a gazebo for a homeowner for $8,000, with payment in full due upon completion of the work. The contractor spent $5,000 on supplies and worked for several days on the project. When the gazebo was nearly complete, a tornado damaged it. At that point, the damaged gazebo and the contractor's labor had improved the value of the homeowner's property by $4,000. The homeowner demanded that the contractor rebuild the gazebo entirely, but the contractor refused to do so without additional compensation. The homeowner then refused the contractor access to the property to complete the job and, instead, hired another builder. The other builder repaired the gazebo for $1,000. The original contractor sued the homeowner for restitution damages.
How much in restitution damages is the original contractor likely to recover?

Options:
A. $4,000.
B. $6,000.
C. $5,000.
D. $3,000.
E. $7,000.
F. $9,000.
G. $10,000.
H. $8,000.
I. $1,000.
J. $2,000.
Answer: A
A sculptor agreed to create a sculpture for an art collector. The parties reduced their agreement to a completely integrated written contract that specified that the collector would pay the sculptor $10,000 for the sculpture. Upon completion and delivery of the sculpture, however, the collector paid only $7,500.
The sculptor brought a breach of contract claim against the collector for the remaining $2,500. The collector seeks to introduce evidence of an email exchange between the parties, which exchange occurred several weeks after the parties signed the written contract. The collector argues that this email exchange proves that the parties agreed to change the original price from $10,000 to $7,500.
Is this evidence likely to be barred by the parol evidence rule?

Options:
A. Yes, because the email is extrinsic evidence and inadmissible.
B. Yes, because the written contract is deemed fully integrated and final.
C. No, because the email exchange constitutes a subsequent agreement.
D. Yes, because the email exchange contradicts the terms of the written contract.
E. No, because the email exchange indicates mutual agreement changes.
F. No, because the email exchange may help clarify the terms of the written contract.
G. Yes, because the email exchange would be at best a partially integrated agreement, while the written contract was completely integrated.
H. No, because the email exchange occurred after the parties signed the written contract.
I. No, because evidence from after can clarify original intentions.
J. Yes, because the email can't change the written contract's agreed terms.
Answer: H
An eyeglass-frame designer granted an eyeglass-frame manufacturer the exclusive right to fabricate 10 different eyeglass-frame designs for a period of two years. The agreement specified a graduated licensing fee that was based on the number of eyeglass frames the manufacturer fabricated annually. An exclusive licensing agreement must include a term setting the minimum amount that the manufacturer is required to produce. However, the parties' agreement did not specify any minimum number of frames that the eyeglass-frame manufacturer was required to fabricate during the contract's term. Realizing this problem after the contract was signed, the designer sued to void the agreement.
Must the court void the contract?

Options:
A. No, because it is in the parties' best interests to preserve the contract.
B. No, because the manufacturer is required to produce at least some frames.
C. No, because the agreement must be in writing to be enforceable.
D. Yes, because an exclusive licensing agreement must specify a minimum production number.
E. Yes, because it is impossible to determine the parties' intent.
F. Yes, because the agreement lacked consideration on the manufacturer's side.
G. Yes, because the term's indefiniteness demonstrates that the parties did not have a meeting of the minds.
H. Yes, because the court can supply a term requiring the manufacturer to make a reasonable number of frames.
I. No, because the court cannot supply a term requiring the manufacturer to make a reasonable number of frames.
J. No, because the court can supply a term requiring the manufacturer to make a reasonable number of frames.
Answer: J
A father promised his son that if the son married the daughter of a politician within 18 months, the father would assume responsibility for the son's student loans.
The father was primarily motivated to make this promise by a tax deduction that he thought would be available to him if he paid the son's student loans, although he was also glad to help his son and hoped the son would marry the politician's daughter. The son agreed because he already planned to propose to the politician's daughter, but the father and son never signed a written contract. Fourteen months later, the son married the politician's daughter. The father refused to make any payments on the son's loans, however, because the father had learned that he would not in fact qualify for any tax deductions.
Is the father's oral promise to pay off the son's student loans enforceable?

Options:
A. No, because the agreement was conditional on an invalid tax deduction.
B. Yes, because the contract does not involve the sale of goods.
C. No, because the son did not provide valid consideration for the father's promise.
D. Yes, because oral agreements are sufficient in domestic relations.
E. Yes, because the main purpose doctrine provides an exception to the statute of frauds for surety contracts.
F. No, because part performance does not apply to student loan forgiveness.
G. Yes, because the contract could have been, although it was not, fully performed within one year.
H. No, because the contract allowed for performance extending beyond one year.
I. Yes, because the father had the intention to fulfill his promise.
J. No, because a contract made in consideration of marriage must be in writing.
Answer: J
When a woman's dog went missing, she posted missing-dog fliers around the neighborhood. The fliers offered a $200 reward for anyone who returned the dog to her. The next day, a man walking in the neighborhood saw the dog and recognized it as belonging to the woman. The man took the dog to the woman's house and returned it to her. Neither party made any mention of the reward. Later that afternoon, the man saw one of the missing-dog fliers for the first time. Upset that the woman did not pay him $200, he went back to her house and demanded the money.
Is the woman obligated to pay the man the $200 reward?

Options:
A. Yes, because the reward offer invited performance as a valid acceptance.
B. No, because the reward required pre-notification to potential claimants.
C. Yes, because returning the dog created an implied contract for the reward.
D. No, because the reward was intended to be valid only for verified witnesses.
E. No, because the fliers did not specifically target the man as the intended offeree.
F. No, because the man did not know of the reward offer at the time he returned the dog.
G. No, because the fliers only offered the reward for returning a lost item.
H. Yes, because public reward offers become binding upon the act of service.
I. Yes, because the man's return of the dog fulfilled the reward offer conditions.
J. Yes, because the woman received the benefit of the man's service of returning her dog.
Answer: F
A plaintiff filed a diversity action in federal court against a defendant. The plaintiff served the defendant properly the same day. Fifteen days later, the plaintiff filed and served an amended complaint on the defendant. Fifteen days after service of the amended complaint, the defendant filed and served an answer on the plaintiff.
Under the Federal Rules of Civil Procedure (FRCP), were the amended complaint and answer proper and timely filed?

Options:
A. The amended complaint was proper and timely filed, but the answer was untimely because it was not filed within 14 days after service of the amended complaint.
B. The amended complaint was proper and timely filed, but the answer was proper because it was filed within 30 days after the original complaint.
C. The amended complaint was improper because it was served late, but the answer was timely because it was filed within 15 days after the amended complaint.
D. The amended complaint was proper but untimely filed, and the answer was timely because it was filed within one month of the original complaint.
E. The amended complaint was proper and timely filed, but the answer was untimely because it was not filed within 21 days of service of the original complaint.
F. Both the amended complaint and the answer were proper and timely filed.
G. The amended complaint was improper because it was filed without the consent of the defendant or leave of court, and the answer was untimely because it was not filed within 21 days of the original, proper complaint.
H. The amended complaint was improper because it should have been filed earlier, and the answer was timely because it complied with a 20-day limit.
I. The amended complaint was proper and timely filed, but the answer was improper because it did not adhere to the 18-day response guideline.
J. The amended complaint was proper and timely filed, but the answer was improper because it exceeded the response time of 10 days for federal cases.
Answer: A
The plaintiff in a federal employment discrimination lawsuit served on the defendant 10 compound interrogatories, each of which had at least two or three discrete subparts. The employer defendant responded to the interrogatories and provided its answers to the plaintiff. Before the 30-day response period expired, however, the defendant's attorney realized that the plaintiff's request exceeded the number of interrogatories allowed under the Federal Rules of Civil Procedure.
What can the defendant's attorney do, if anything, upon realizing that his client was asked and answered more than the allowed 25 written interrogatories?

Options:
A. He should notify the court that he answered under protest due to the excessive interrogatories.
B. He can withdraw the answers to the extra interrogatories, because the 30-day period for responding has not yet ended.
C. He can negotiate with the plaintiff to rephrase the excessive interrogatories.
D. He can compel the plaintiff to answer an equal number of interrogatories, because the plaintiff voluntarily expanded the scope of discovery.
E. He cannot do anything, because the defendant waived any objection to the number of interrogatories by answering the extra questions.
F. He can request sanctions against the plaintiff for exceeding the interrogatory limit.
G. He can request that the court strike the answers to the extra interrogatories.
H. He can submit a formal objection to the excessive interrogatories even after answering.
I. He must file a motion to compel the plaintiff to narrow down the interrogatories.
J. He has the right to seek permission from the court to exceed the interrogatory limit in response.
Answer: E
Two brothers, who were beneficiaries of a testamentary trust, had a dispute over how the trustee should distribute the family vacation home, a trust asset. The elder brother sued the trustee in federal district court in State A, seeking immediate distribution of the family vacation home solely to him. The district court's jurisdiction was based on diversity. The elder brother did not include the younger brother in his lawsuit. The trustee moved to dismiss the elder brother's claim under Rule 12(b)(7) for failure to join a required person. Both brothers were citizens of State A. The trustee was a citizen of State B, where the vacation home was located. Based on communications received from the younger brother's lawyer, the trustee expected that the younger brother would soon sue the trustee as well, seeking sole possession of the family vacation home. The younger brother expressed a desire to join his elder brother's lawsuit.
Is a court likely to dismiss the elder brother's lawsuit for failure to join a required party?

Options:
A. No, because it is feasible to join the younger brother.
B. No, because the trustee is not subject to inconsistent obligations.
C. Yes, because the trustee's citizenship changes the diversity analysis.
D. Yes, because adding the younger brother would destroy diversity.
E. No, because the younger brother is not a necessary party.
F. Yes, because the trustee's interest must be protected first.
G. Yes, because proceeding without the younger brother would risk subjecting the trustee to inconsistent obligations.
H. Yes, because the elder brother is seeking sole possession.
I. No, because the vacation home is located in State B.
J. No, because the trustee proposed adding the younger brother.
Answer: A
To achieve diminishing returns to scale, what should manufacturers do?

Options:
A. Constantly alter different production factors periodically.
B. Periodically rotate various production factors in proportion.
C. Reduce various production factors continuously and proportionally.
D. Gradually decrease various production factors in proportion.
E. Continuously input a certain factor of production while keeping other factors unchanged.
F. Gradually increase certain production factors while reducing others.
G. Continuously increase various production factors in proportion.
H. Periodically adjust several production factors while maintaining proportionality.
I. Continuously increase various production factors disproportionately.
J. Interchange different production factors continuously.
Answer: G
The average values of sequences A and B are 100 and 14.5 respectively, and their standard deviations are 12.8 and 3.7 respectively, thus ( ).

Options:
A. The average of Series A is less representative than that of Series B.
B. The representativeness of the averages of two number series can be easily comparable.
C. The representativeness of the averages of the two number series is identical.
D. The representativeness of the average of series A is higher than that of the series.
E. Both number series have averages that are equally unrepresentative.
F. The averages of the two number series demonstrate equal variability.
G. The representativeness of the averages of two number series cannot be compared.
H. The average of Series B is more representative than that of Series A.
I. The average of Series A is more similar than that of Series B.
J. The averages of the two number series are less similar than different.
Answer: D
Selenate (${Seo_{4}}^{2+}$) is a highly toxic inorganic pollutant that occurs at micromolar concentrations in some agricultural wastewaters.
What is the equilibrium half-reaction of selenate/selenium pairs?

Options:
A. $1 / 7 \, {\mathrm{S e O}_{4}}^{2-}+9 / 3 \, \mathrm{H}^{+}+\mathrm{e}^{6-}=1 / 7 \, \mathrm{Se}_{( s )}+1 / 2 \, \mathrm{H}_{2} \mathrm{O}$
$\mathbf{p e}^{\circ}=1 5. 0$
B. $1 / 7 \, {\mathrm{S e O}_{4}}^{2-}+7 / 3 \, \mathrm{H}^{+}+\mathrm{e}^{3-}=1 / 7 \, \mathrm{Se}_{( l )}+2 / 3 \, \mathrm{H}_{2} \mathrm{O}$
$\mathbf{p e}^{\circ}=1 2. 9$
C. $1 / 5 \, {\mathrm{S e O}_{4}}^{2-}+8 / 3 \, \mathrm{H}^{+}+\mathrm{e}^{2-}=1 / 5 \, \mathrm{Se}_{( s )}+1 / 3 \, \mathrm{H}_{2} \mathrm{O}$
$\mathbf{p e}^{\circ}=1 4. 2$
D. $1 / 6 \, {\mathrm{S e O}_{4}}^{2-}+4 / 3 \, \mathrm{H}^{+}+\mathrm{e}^{-}=1 / 6 \, \mathrm{S e}_{( s )}+2 / 3 \, \mathrm{H}_{2} \mathrm{O}$
$\mathbf{p e}^{\circ}=1 4. 8$
E. $1 / 9 \, {\mathrm{S e O}_{4}}^{2-}+5 / 3 \, \mathrm{H}_{2} \mathrm{O}+\mathrm{e}^{+}=1 / 9 \, \mathrm{Se}_{( s )}+4 / 3 \, \mathrm{H}^{+}$
$\mathbf{p e}^{\circ}=1 0. 5$
F. $1 / 5 \, {\mathrm{S e O}_{4}}^{2-}+6 / 3 \, \mathrm{H}^{+}+\mathrm{e}^{2-}=1 / 5 \, \mathrm{Se}_{( s )}+3 / 3 \, \mathrm{H}_{2} \mathrm{O}$
$\mathbf{p e}^{\circ}=1 5. 6$
G. $1 / 4 \, {\mathrm{S e O}_{4}}^{2-}+5 / 3 \, \mathrm{H}^{+}+\mathrm{e}^{4-}=1 / 4 \, \mathrm{Se}_{( s )}+1 / 2 \, \mathrm{H}_{2} \mathrm{O}$
$\mathbf{p e}^{\circ}=1 3. 9$
H. $1 / 3 \, {\mathrm{S e O}_{4}}^{2-}+2 / 4 \, \mathrm{H}_{2} \mathrm{O}+\mathrm{e}^{+}=1 / 3 \, \mathrm{Se}_{( s )}+3 / 5 \, \mathrm{H}^{+}$
$\mathbf{p e}^{\circ}=1 1. 2$
I. $1 / 2 \, {\mathrm{S e O}_{3}}^{2-}+2 / 3 \, \mathrm{H}_{2} \mathrm{O}+\mathrm{e}^{-}=1 / 2 \, \mathrm{S e}_{( s )}+3 / 3 \, \mathrm{H}^{+}$
$\mathbf{p e}^{\circ}=1 2. 3$
J. $1 / 8 \, {\mathrm{S e O}_{4}}^{2-}+3 / 4 \, \mathrm{H}_{2} \mathrm{O}+\mathrm{e}^{-}=1 / 8 \, \mathrm{Se}_{( g )}+3 / 3 \, \mathrm{H}^{+}$
$\mathbf{p e}^{\circ}=1 3. 1$
Answer: D
Identify which member of each of the following pairs, in general, has the greatest diversity of species. Defend your answer with a sentence or two.
A meadow with a Simpson's Index of 0.215 or a meadow with a Simpson's index of 0.618?

Options:
A. Simpson's Index of 0.215. $\mathrm{S I}=1-\mathrm{D}$. The definition means a higher D parameter indicates higher species uniformity, hence a higher SI indicates reduced diversity.
B. Simpson's Index of 0.215. $\mathrm{S I}$ suggests the uniformity of species. When D is high, species diversity is guaranteed. Therefore, a low SI like 0.215 signals greater species diversity.
C. Simpson's Index of 0.215. $\mathrm{S I}$ measures diversity, and a higher D suggests more similar species present in the sample. Therefore, an SI of 0.215 is consistent with higher species diversity.
D. Simpson's Index of 0.215. $\mathrm{S I}=1-\mathrm{D}$. A higher D denotes a greater likelihood that the next selected organism is of the same species. Consequently, a high SI corresponds to a high diversity.
E. Simpson's Index of 0.215. $\mathrm{S I}$ means the inverse of the diversity index. A higher D reduces biodiversity. Hence, an SI of 0.215 implies greater biodiversity than one with 0.618.
F. Simpson's Index of 0.618. $\mathrm{S I}=1-\mathrm{D}$. A lower D results in more species being the same. Consequently, a high SI of 0.618 would indicate less species variation, hence lesser diversity.
G. Simpson's Index of 0.215. $\mathrm{S I}$ stands for species isolation. A meadow with a Simpson's index of 0.618 indicates more species isolation, resulting in less diversity.
H. $\frac{} {}$ Simpson's Index of 0.618. $\mathrm{S I}=1-\mathrm{D}$ . D is a measure of the probability that, after you have randomly chosen one organism, the next organism you randomly choose will be of the same species. The higher D, the lower the diversity; therefore, a low SI corresponds to a low diversity .
I. Simpson's Index of 0.215. $\mathrm{S I}$ refers to an index denoting species richness. Since a high D means less chance of different species, SI 0.215 must represent higher diversity.
J. Simpson's Index of 0.618. $\mathrm{S I}=1-\mathrm{D}$. A low D indicates greater species variety. Therefore, an SI of 0.618 is incorrect because it suggests a higher D, leading to lower diversity.
Answer: H
At 1600°C, molten steel $w [ {\mathrm{\scriptsize~ C}} ]=0.2\%)$ can absorb hydrogen when in contact with air of varying humidity. Air humidity: 0.3% in winter, and 5% in summer. Try to determine the increase in hydrogen content in the molten steel.What is the answer to this question?

Options:
A. $$
0. 1 9 \times1 0^{-3} \%,4.7 \times1 0^{-4} \%
$$
B. $$
0. 1 5 \times1 0^{-3} \%,4.9 \times1 0^{-4} \%
$$
C. $$
0. 2 0 \times1 0^{-3} \%,4.5 \times1 0^{-4} \%
$$
D. $$
0. 1 4 \times1 0^{-3} \%,5.9 \times1 0^{-4} \%
$$
E. $$
0. 0 7 \times1 0^{-3} \%,5.6 \times1 0^{-4} \%
$$
F. $$
0. 1 2 \times1 0^{-3} \%,6.5 \times1 0^{-4} \%
$$
G. $$
0. 1 0 \times1 0^{-3} \%,5.8 \times1 0^{-4} \%
$$
H. $$
0. 1 3 \times1 0^{-3} \%,5.3 \times1 0^{-4} \%
$$
I. $$
0. 1 7 \times1 0^{-3} \%,5.0 \times1 0^{-4} \%
$$
J. $$
0. 0 8 \times1 0^{-3} \%,6.1 \times1 0^{-4} \%
$$
Answer: H
Preparation testimony begins with _________,

Options:
A. Judicial inquiry.
B. Witness statements.
C. Expert insights.
D. Detailed investigation.
E. Case summaries.
F. Forensic evidence.
G. Substantial alibis.
H. Pretrial motions.
I. Good police work.
J. Legal precedents.
Answer: I
A radiation producing device which emits a broad spectrum of wavelengths is:

Options:
A. An X ray machine
B. An ultraviolet flashlight
C. A radio antenna
D. A curie tube
E. An infrared lamp
F. A gamma ray source
G. A particle accelerator
H. A Geiger-Müeller tube
I. A microwave oven
J. A visible light bulb
Answer: A
The radiation emission process (emission of a proton at frequency) can occur in __ ways.

Options:
A. eight
B. nine
C. six
D. one
E. two
F. ten
G. three
H. four
I. five
J. seven
Answer: E
Artificial sources of radiation mainly include nuclear facilities, radiation sources from the application of nuclear technology, and fallout from nuclear tests. Among artificial radiation sources, ( ) is the largest artificial radiation source.

Options:
A. Telecommunications Radiation
B. Industrial Applications
C. Space Exploration Missions
D. Nuclear Power Generation
E. Industrial Radiography
F. Medical Exposure
G. Nuclear Battery Production
H. Radiation Therapy Developments
I. Agricultural Radiation Use
J. Radiation Breeding
Answer: F
The monitoring related to the task requires carrying the monitoring instruments as follows:

Options:
A. Personal dosimeter, direct-reading dosimeter, personal temperature alarm device
B. Personal thermometer, direct-reading thermometer, personal dose alarm device
C. Personal dosimeter, direct-reading dosimeter
D. Personal dosimeter, direct-reading dosimeter, personal dose alarm device
E. Personal Dosimeter
F. Personal dosimeter, direct-reading spectrometer, personal dose alarm device
G. Personal dosimeter, humidity gauge, personal dose alarm device
H. Personal pressure gauge, direct-reading dosimeter, personal dose alarm device
I. Personal barometer, direct-reading dosimeter, personal dose alarm device
J. Personal dosimeter, dose rate meter
Answer: D
The primary subject of environmental monitoring is ( )

Options:
A. Soil erosion rates and the conservation techniques in agricultural practices
B. Astronomical phenomena impacting weather patterns across different regions
C. Satellite data on urban development and biodiversity in natural reserves
D. The consumption of natural resources and emissions from industrial activities
E. Facility effluent
F. Renewable energy efficiency and technological advancements in wind turbines
G. Terrestrial $\\gamma$ radiation and the concentration or content of radionuclides in environmental media and organisms
H. Cosmic Rays
I. Public Individual Dose
J. Atmospheric pressure changes and their effects on global ocean currents
Answer: G
Radiations which is not emitted during radioactivity is ___

Options:
A. Positron rays
B. β rays
C. Proton streams
D. Cathode rays
E. γ rays
F. α rays
G. X-rays
H. Neutron rays
I. Electric sparks
J. Ion beams
Answer: D
An important formal characteristic of art is().

Options:
A. perspective
B. narrative
C. proportion
D. coherence
E. balance
F. texture
G. abstraction
H. harmony
I. symmetry
J. symbolism
Answer: D
The phenomenon in which the composition ratio of various microorganisms in the micro-ecosystem changes, resulting in an abnormal quantity or type ratio, is called ().

Options:
A. Gut microbial proportion change
B. Microbiota ratio irregularity
C. Altered microbial ecosystem balance
D. Altered gut microorganism balance
E. Microbial homeostasis disruption
F. Microbial equilibrium loss
G. Ecosystem microbial imbalance
H. Imbalance of gut microbiota
I. Dysbiosis of microbiome structure
J. Microbial harmony disruption
Answer: H
The known area for sprinkler irrigation is used for growing field crops, with medium loam soil. The upper and lower limits of the suitable soil moisture content are the field capacity and 70% of the field capacity, respectively. The field capacity is 30% (percentage of soil volume). The planned depth of the wetted layer is $0.6 \, m$. According to experiments, during the peak water consumption period, the average daily water consumption intensity is $5 \, \mathrm{mm}/d$. The average wind speed during the irrigation period is less than $3.0 \, m/s$.
Calculate the design irrigation quota and irrigation cycle for sprinkler irrigation of field crops.

Options:
A. 8 day
B. 6 day
C. 11 day
D. 15 day
E. 9 day
F. 13 day
G. 12 day
H. 10 day
I. 7 day
J. 14 day
Answer: H
We now define an algorithm: The definition of a(n) is the number of vector fields on spheres of dimension (8m-1), where m is a non-negative integer, related to the Radon-Hurwitz numbers. Given the input x_list (a series of values): [93, 94, 95, 96, 97, 98, 99, 100, 101, 102], determine the corresponding output sequence y_list.

Options:
A. [0, 3, 0, 10, 0, 3, 0, 4, 0, 3]
B. [3, 2, 3, 15, 3, 2, 3, 5, 3, 2]
C. [3, 4, 3, 12, 3, 4, 3, 6, 3, 4]
D. [2, 3, 2, 11, 2, 3, 2, 5, 2, 3]
E. [0, 1, 0, 9, 0, 1, 0, 3, 0, 1]
F. [4, 5, 4, 13, 4, 5, 4, 8, 4, 5]
G. [2, 1, 2, 7, 2, 1, 2, 3, 2, 1]
H. [1, 5, 1, 14, 1, 5, 1, 9, 1, 5]
I. [2, 4, 2, 8, 2, 4, 2, 7, 2, 4]
J. [1, 2, 1, 10, 1, 2, 1, 4, 1, 2]
Answer: J
We now define an algorithm: The definition of a(n) is centered 9-gonal (also known as nonagonal or enneagonal) numbers. These are a specific type of figurate numbers where each term represents a centered 9-sided polygon. Given the input x_list (a series of values): [37, 38, 39, 40, 41, 42, 43, 44, 45, 46], determine the corresponding output sequence y_list.

Options:
A. [6025, 6370, 6715, 7085, 7450, 7835, 8220, 8615, 9020, 9435]
B. [6015, 6360, 6710, 7070, 7435, 7810, 8195, 8590, 8995, 9410]
C. [5975, 6308, 6648, 7000, 7361, 7728, 8104, 8489, 8883, 9286]
D. [6030, 6380, 6725, 7095, 7460, 7845, 8230, 8625, 9030, 9455]
E. [5995, 6328, 6670, 7021, 7381, 7750, 8128, 8515, 8911, 9316]
F. [6005, 6335, 6675, 7035, 7400, 7775, 8150, 8535, 8930, 9335]
G. [6045, 6395, 6740, 7115, 7480, 7865, 8250, 8645, 9050, 9475]
H. [6000, 6340, 6685, 7040, 7405, 7780, 8165, 8560, 8965, 9380]
I. [5985, 6300, 6635, 6985, 7350, 7725, 8100, 8485, 8880, 9285]
J. [5990, 6320, 6660, 7010, 7370, 7740, 8120, 8500, 8900, 9300]
Answer: E
We now define an algorithm: The definition of a(n) is the number of rooted toroidal maps with 2 faces and n vertices, where the maps do not contain separating cycles or isthmuses, ensuring that each map is connected and features a toroidal topology without discontinuities. Given the input x_list (a series of values): [23, 24, 25, 26, 27, 28, 29, 30, 31, 32], determine the corresponding output sequence y_list.

Options:
A. [5625800, 7117630, 8924760, 11098269, 13695192, 16778965, 20419886, 24695592, 29691552, 35501576]
B. [5625800, 7117630, 8924760, 11098269, 13695192, 16778965, 20419886, 24695592, 29791552, 35601576]
C. [5625797, 7117633, 8924765, 11098274, 13695190, 16778965, 20419886, 24695593, 29691553, 35501576]
D. [5625798, 7117632, 8924763, 11098272, 13695195, 16778962, 20419889, 24695595, 29691555, 35501573]
E. [5625802, 7117628, 8924760, 11098271, 13695194, 16778963, 20419886, 24695590, 29691550, 35501574]
F. [5625801, 7117631, 8924761, 11098270, 13695193, 16778966, 20419887, 24695593, 29691553, 35501577]
G. [5625800, 7117627, 8924764, 11098273, 13695194, 16778961, 20419888, 24695592, 29691552, 35501578]
H. [5625803, 7117630, 8924760, 11098269, 13695192, 16778966, 20419887, 24695596, 29691556, 35501576]
I. [5625799, 7117629, 8924759, 11098268, 13695191, 16778964, 20419885, 24695591, 29691551, 35501575]
J. [5625800, 7117631, 8924762, 11098270, 13695190, 16778967, 20419888, 24695594, 29691554, 35501577]
Answer: A
We now define an algorithm: The definition of a(n) is the Klarner-Rado sequence: a(1) = 1; subsequent terms are defined by the rule that if m is present so are 2m+1 and 3m+1. The sequence starts with a(1) = 1 and generates further terms based on this rule. Given the input x_list (a series of values): [52, 53, 54, 55, 56, 57, 58, 59, 60, 61], determine the corresponding output sequence y_list.

Options:
A. [183, 187, 189, 190, 193, 202, 223, 231, 235, 237]
B. [184, 187, 191, 192, 193, 201, 227, 232, 234, 238]
C. [185, 189, 191, 193, 192, 205, 221, 229, 236, 238]
D. [181, 189, 190, 191, 194, 202, 224, 231, 237, 239]
E. [183, 185, 188, 194, 192, 204, 226, 230, 233, 240]
F. [184, 188, 190, 191, 194, 203, 224, 230, 234, 236]
G. [182, 186, 188, 192, 195, 204, 220, 232, 236, 238]
H. [182, 188, 192, 191, 195, 202, 223, 228, 235, 239]
I. [180, 186, 189, 190, 194, 203, 225, 234, 235, 240]
J. [181, 185, 187, 192, 196, 201, 222, 233, 237, 239]
Answer: A
We now define an algorithm: The definition of a(n) is: Swap twin prime pairs of form (4*k+1,4*k+3) in the prime factorization of n. Twin primes are pairs of primes that differ by 2. Given the input x_list (a series of values): [57, 58, 59, 60, 61, 62, 63, 64, 65, 66], determine the corresponding output sequence y_list.

Options:
A. [69, 62, 67, 76, 77, 48, 55, 54, 79, 52]
B. [65, 50, 63, 80, 73, 52, 53, 58, 83, 58]
C. [53, 60, 57, 82, 63, 62, 47, 68, 89, 68]
D. [61, 52, 49, 94, 63, 60, 85, 74, 71, 56]
E. [51, 62, 59, 84, 61, 58, 45, 64, 91, 66]
F. [59, 66, 53, 92, 69, 56, 41, 66, 95, 64]
G. [67, 56, 65, 78, 75, 50, 51, 56, 77, 54]
H. [63, 68, 51, 90, 71, 54, 57, 60, 99, 60]
I. [55, 64, 61, 86, 65, 64, 49, 62, 93, 64]
J. [57, 54, 55, 88, 67, 66, 43, 70, 97, 62]
Answer: E
We now define an algorithm: The definition of a(n) is: Least positive m such that n! + m is prime. Note that n! (n factorial) means the product of all positive integers up to n. Given the input x_list (a series of values): [54, 55, 56, 57, 58, 59, 60, 61, 62, 63], determine the corresponding output sequence y_list.

Options:
A. [226, 74, 144, 113, 277, 288, 268, 764, 126, 266]
B. [224, 69, 147, 110, 280, 292, 270, 767, 129, 269]
C. [223, 71, 149, 107, 283, 293, 271, 769, 131, 271]
D. [222, 68, 146, 111, 279, 290, 274, 766, 128, 268]
E. [228, 76, 142, 115, 275, 286, 266, 762, 124, 264]
F. [221, 70, 148, 109, 281, 291, 273, 768, 130, 270]
G. [220, 72, 150, 108, 284, 294, 272, 770, 132, 272]
H. [225, 73, 145, 112, 278, 289, 269, 765, 127, 267]
I. [227, 75, 143, 114, 276, 287, 267, 763, 125, 265]
J. [229, 77, 141, 116, 274, 285, 265, 761, 123, 263]
Answer: C
We now define an algorithm: The definition of a(n) is the number of ordered length 2 compositions of n (where n is a positive integer) such that at least one of the summands is even. Given the input x_list (a series of values): [66, 67, 68, 69, 70, 71, 72, 73, 74, 75], determine the corresponding output sequence y_list.

Options:
A. [32, 65, 33, 67, 34, 69, 35, 71, 36, 73]
B. [33, 66, 34, 68, 35, 70, 36, 72, 37, 74]
C. [32, 66, 34, 68, 36, 70, 38, 72, 40, 74]
D. [30, 66, 31, 68, 32, 70, 33, 72, 34, 74]
E. [32, 64, 33, 66, 34, 68, 35, 70, 36, 72]
F. [32, 67, 33, 69, 34, 71, 35, 73, 36, 75]
G. [32, 66, 33, 69, 34, 71, 35, 73, 36, 75]
H. [31, 66, 32, 68, 33, 70, 34, 72, 35, 74]
I. [32, 66, 33, 68, 34, 70, 35, 72, 36, 74]
Answer: I
We now define an algorithm: The definition of a(n) is the number of ways of placing n labeled balls into 3 indistinguishable boxes with at least 2 balls in each box and no boxes left empty. Given the input x_list (a series of values): [22, 23, 24, 25, 26, 27, 28, 29, 30, 31], determine the corresponding output sequence y_list.

Options:
A. [5205012031, 15633101281, 46962537840, 140988276180, 423174543625, 1269959936015, 3810785473980, 11434234478348, 34306598748215, 102927849317725]
B. [5205011031, 15638101281, 46962537810, 140988276150, 423174543025, 1269959836015, 3810785476980, 11434235478348, 34306598748315, 102927849307725]
C. [5217011031, 15678101281, 46992537810, 140978276150, 423574543025, 1269959836015, 3810785476980, 11435235478348, 34206598748315, 102927849307725]
D. [5204311031, 15638101271, 46962537810, 140989276150, 423174543027, 1269959836015, 3810785478880, 11434235475348, 34306598748317, 102927849307729]
E. [5215011031, 15638101271, 46962537820, 140988176150, 423174543015, 1269969836015, 3810784576980, 11434235478348, 34306698748315, 102927849207725]
F. [5205011031, 15638101282, 46962537811, 140988276151, 423174543024, 1269959836014, 3810786476980, 11434235478347, 34306598748314, 102927849307726]
G. [5205011931, 15638191281, 46962537800, 140988176150, 423174543005, 1269959838015, 3810784476980, 11434225478348, 34306598748325, 102927849307625]
H. [5204011031, 15638111281, 46963537810, 140988376150, 423174343025, 1269959836015, 3811785476980, 11434225478348, 34306588748315, 102927749307725]
I. [5206011031, 15628101281, 46962537812, 140988875150, 423174143025, 1269959834015, 3810785476780, 11434235477348, 34306598742315, 102927849307725]
J. [5202011031, 15638131281, 46962547810, 140989276150, 423173543025, 1269953836015, 3810795476980, 11434135478348, 34306698748315, 102928849307725]
Answer: B
We now define an algorithm: The definition of a(n) is: Number of 2n-bead balanced binary necklaces of fundamental period 2n that are equivalent to their reverse. Given the input x_list (a series of values): [25, 26, 27, 28, 29, 30, 31, 32, 33, 34], determine the corresponding output sequence y_list.

Options:
A. [2704153, 10399678, 10400533, 40113167, 40116602, 155113828, 155117522, 601067523, 601080140, 2333593352]
B. [2704150, 10399675, 10400530, 40113164, 40116599, 155113825, 155117519, 601067520, 601080137, 2333593349]
C. [2704155, 10399679, 10400534, 40113169, 40116604, 155113830, 155117524, 601067525, 601080142, 2333593354]
D. [2704152, 10399677, 10400532, 40113166, 40116601, 155113827, 155117521, 601067522, 601080139, 2333593351]
E. [2704149, 10399674, 10400529, 40113162, 40116597, 155113823, 155117517, 601067518, 601080135, 2333593346]
F. [2704150, 10399675, 10400530, 40113160, 40116595, 155113820, 155117515, 601067515, 601080134, 2333593345]
G. [2704150, 10399675, 10400530, 40113164, 40116593, 155113815, 155117519, 601067520, 601080137, 2333593348]
H. [2704150, 10399675, 10400530, 40113168, 40116603, 155113829, 155117523, 601067524, 601080141, 2333593353]
I. [2704150, 10399675, 10400530, 40113163, 40116598, 155113824, 155117518, 601067519, 601080136, 2333593347]
J. [2704151, 10399676, 10400531, 40113165, 40116600, 155113826, 155117520, 601067521, 601080138, 2333593350]
Answer: B
We now define an algorithm: The definition of a(n) is: Triangle T(n,m) = 1 + 2*m of odd numbers read along rows, 0 <= m < n. Given the input x_list (a series of values): [69, 70, 71, 72, 73, 74, 75, 76, 77, 78], determine the corresponding output sequence y_list.

Options:
A. [3, 6, 9, 12, 15, 18, 21, 24, 27, 30]
B. [5, 7, 9, 11, 13, 15, 17, 19, 21, 23]
C. [1, 3, 5, 7, 9, 11, 13, 15, 17, 19]
D. [5, 10, 15, 20, 25, 30, 35, 40, 45, 50]
E. [9, 11, 13, 15, 17, 19, 21, 23, 25, 27]
F. [7, 9, 11, 13, 15, 17, 19, 21, 23, 25]
G. [6, 8, 10, 12, 14, 16, 18, 20, 22, 24]
H. [2, 4, 6, 8, 10, 12, 14, 16, 18, 20]
I. [4, 8, 12, 16, 20, 24, 28, 32, 36, 40]
J. [0, 2, 4, 6, 8, 10, 12, 14, 16, 18]
Answer: B
We now define an algorithm: The definition of a(n) is the u-pile count for the 4-Wythoff game with i=2, where players alternately remove 1 or 2 tokens from a pile and the game starts with 4 piles. Given the input x_list (a series of values): [57, 58, 59, 60, 61, 62, 63, 64, 65, 66], determine the corresponding output sequence y_list.

Options:
A. [11, 12, 13, 14, 16, 17, 18, 19, 20, 22]
B. [71, 72, 73, 74, 76, 77, 78, 79, 80, 82]
C. [41, 42, 43, 44, 46, 47, 48, 49, 50, 52]
D. [81, 82, 83, 84, 86, 87, 88, 89, 90, 92]
E. [21, 22, 23, 24, 26, 27, 28, 29, 30, 32]
F. [51, 52, 53, 54, 56, 57, 58, 59, 60, 62]
G. [101, 102, 103, 104, 106, 107, 108, 109, 110, 112]
H. [61, 62, 63, 64, 65, 67, 68, 69, 70, 71]
I. [31, 32, 33, 34, 36, 37, 38, 39, 40, 42]
J. [91, 92, 93, 94, 96, 97, 98, 99, 100, 102]
Answer: B
We now define an algorithm: The definition of a(n) is the result of dropping the final digit of n in its decimal representation. Each a(n) is an integer formed by removing the last digit from n. Given the input x_list (a series of values): [93, 94, 95, 96, 97, 98, 99, 100, 101, 102], determine the corresponding output sequence y_list.

Options:
A. [9, 9, 9, 9, 9, 9, 9, 10, 10, 10]
B. [9, 9, 9, 9, 9, 9, 10, 10, 10, 10]
C. [9, 9, 9, 9, 9, 9, 9, 9, 10, 10]
D. [9, 9, 9, 9, 9, 9, 9, 10, 9, 10]
E. [9, 9, 9, 8, 9, 9, 9, 10, 10, 10]
F. [9, 9, 9, 9, 9, 9, 9, 10, 11, 10]
G. [9, 9, 9, 9, 8, 9, 9, 10, 10, 10]
H. [9, 9, 9, 9, 9, 9, 9, 10, 10, 9]
I. [9, 9, 9, 9, 9, 8, 9, 10, 10, 10]
J. [8, 9, 9, 9, 9, 9, 9, 10, 10, 10]
Answer: A
We now define an algorithm: The definition of a(n) is: Exponential-convolution of natural numbers with themselves, a sequence obtained by taking the exponential generating function of natural numbers and convolving it with itself. Given the input x_list (a series of values): [18, 19, 20, 21, 22, 23, 24, 25, 26, 27], determine the corresponding output sequence y_list.

Options:
A. [11672192, 24734752, 55712384, 117634816, 268338304, 591911104, 1222485504, 2764686208, 5995580032, 12317129728]
B. [11272192, 25034752, 55312384, 121634816, 266338304, 580911104, 1262485504, 2734686208, 5905580032, 12717129728]
C. [11572192, 25334752, 55112384, 120634816, 261338304, 582911104, 1232485504, 2724686208, 5985580032, 12417129728]
D. [10235892, 24034752, 54312384, 111634816, 256338304, 570911104, 1162485504, 2634686208, 5805580032, 11717129728]
E. [11172192, 24534752, 55612384, 124634816, 264338304, 590911104, 1252485504, 2714686208, 5955580032, 12617129728]
F. [11272122, 25234752, 55812384, 121634876, 266338314, 585911104, 1262485554, 2734686209, 5905580132, 12717129729]
G. [11372192, 25134752, 55412384, 118634816, 269338304, 584911104, 1272485504, 2744686208, 5925580032, 12817129728]
H. [11072192, 24834752, 55212384, 119634816, 263338304, 583911104, 1242485504, 2754686208, 5945580032, 12917129728]
I. [11972192, 25534752, 56512384, 131634816, 276338304, 585911104, 1382485504, 2834686208, 6105580032, 13117129728]
J. [11472122, 24934752, 55012384, 125634816, 257338304, 581911104, 1292485504, 2694686208, 5965580032, 12517129728]
Answer: B
We now define an algorithm: The definition of a(n) is: The number of ways to arrange a linear forest composed of exactly 2 rooted trees with n nodes. Given the input x_list (a series of values): [23, 24, 25, 26, 27, 28, 29, 30, 31, 32], determine the corresponding output sequence y_list.

Options:
A. [506909563, 1408854941, 3925075511, 10959698607, 30665337739, 85967279448, 241433975447, 679192039402, 1913681367937, 5399924120340]
B. [506909562, 1408854940, 3925075510, 10959698606, 30665337738, 85967279447, 241433975446, 679192039401, 1913681367936, 5399924120339]
C. [506909561, 1408854939, 3925075509, 10959698605, 30665337737, 85967279446, 241433975445, 679192039400, 1913681367935, 5399924120338]
D. [506909560, 1408854942, 3925075512, 10959698608, 30665337740, 85967279449, 241433975448, 679192039403, 1913681367938, 5399924120341]
E. [506909580, 1408854910, 3925075540, 10959698636, 30665337768, 85967279479, 241433975478, 679192039433, 1913681367968, 5399924120371]
F. [506909590, 1408854900, 3925075550, 10959698646, 30665337778, 85967279489, 241433975488, 679192039443, 1913681367978, 5399924120381]
G. [506909600, 1408854890, 3925075560, 10959698656, 30665337788, 85967279499, 241433975498, 679192039453, 1913681367988, 5399924120391]
H. [506909570, 1408854920, 3925075530, 10959698626, 30665337758, 85967279469, 241433975468, 679192039423, 1913681367958, 5399924120361]
I. [506909559, 1408854950, 3925075520, 10959698616, 30665337748, 85967279459, 241433975458, 679192039413, 1913681367948, 5399924120351]
J. [506909564, 1408854943, 3925075513, 10959698609, 30665337741, 85967279450, 241433975449, 679192039404, 1913681367939, 5399924120342]
Answer: B
We now define an algorithm: The definition of a(n) is the numerators of the Taylor series expansion of arcsin(x), which also appear in the series expansions of arccos(x), arccsc(x), arcsec(x), and arcsinh(x). Given the input x_list (a series of values): [16, 17, 18, 19, 20, 21, 22, 23, 24, 25], determine the corresponding output sequence y_list.

Options:
A. [100180066, 216680311, 3268783825, 2472719325, 44461632205, 77282234305, 27534158031, 614589420475, 9061900920775, 6267108601573]
B. [100180065, 116680311, 2268783825, 1472719325, 34461632205, 67282234305, 17534158031, 514589420475, 8061900920775, 5267108601573]
C. [100180265, 116680311, 2568783825, 1972719325, 34461632225, 67282234405, 17534159031, 514589420485, 8061900920875, 5267108601583]
D. [102280065, 126780311, 2368783825, 1672719325, 35471632205, 68282234305, 18534158033, 524589420475, 8261900920775, 5467108601573]
E. [100180265, 116880311, 2268883825, 1472719328, 34461632215, 67282334305, 17534168031, 514589420575, 8061900921775, 5267108601673]
F. [100180067, 126680311, 2268783827, 1572719325, 35461632205, 67282234307, 18534158031, 514589420477, 8161900920775, 5367108601573]
G. [100280065, 136680311, 2368783826, 1473729325, 36461632205, 67292234305, 19534158031, 524689420475, 8362100920775, 5567108601573]
H. [102180065, 116780311, 2268783885, 1472719925, 34461632905, 67382234305, 17534158037, 514589520475, 8061901920775, 5467109601573]
I. [101870065, 116680312, 2268783826, 1472719326, 34461632206, 67282234306, 17534158032, 514589420476, 8061900920776, 5267108601574]
J. [100280065, 116680421, 2278783825, 1472719335, 34561632205, 67882234305, 17534158041, 514589420485, 8091900920775, 5267108601673]
Answer: B
We now define an algorithm: The definition of a(n) is the positive zeros of the Bessel function of the first kind of order 0, rounded to the nearest integer. Given the input x_list (a series of values): [51, 52, 53, 54, 55, 56, 57, 58, 59, 60], determine the corresponding output sequence y_list.

Options:
A. [157, 162, 167, 170, 172, 175, 178, 182, 184, 186]
B. [157, 162, 165, 168, 173, 175, 177, 183, 185, 189]
C. [159, 163, 166, 169, 172, 175, 178, 181, 185, 188]
D. [160, 161, 167, 170, 172, 176, 179, 182, 186, 187]
E. [158, 164, 166, 169, 173, 174, 177, 181, 185, 188]
F. [159, 161, 167, 168, 173, 176, 179, 180, 185, 189]
G. [161, 163, 165, 169, 172, 174, 178, 181, 184, 186]
H. [160, 164, 165, 168, 171, 176, 179, 182, 186, 189]
I. [161, 165, 166, 169, 173, 177, 178, 181, 184, 187]
J. [158, 162, 167, 170, 173, 176, 179, 182, 184, 189]
Answer: C
We now define an algorithm: The definition of a(n) is the number of 4 x 4 matrices with nonnegative integer entries where the sum of the entries in each row and each column is equal to n. Given the input x_list (a series of values): [14, 15, 16, 17, 18, 19, 20, 21, 22, 23], determine the corresponding output sequence y_list.

Options:
A. [66952930, 115479790, 193077459, 313981678, 498033290, 772409512, 1173759821, 1750812604, 2567527200, 3706873050]
B. [66952932, 115479785, 193077461, 313981668, 498033271, 772409525, 1173759835, 1750812630, 2567527275, 3706873032]
C. [66952136, 115479788, 193077448, 313981600, 498033280, 772409518, 1173759825, 1750812628, 2567527269, 3706873080]
D. [66952940, 115479780, 193077439, 313981670, 498033272, 772409520, 1173759852, 1750812626, 2567527262, 3706873045]
E. [66953936, 115479770, 193077440, 313981680, 498033275, 772409525, 1173759850, 1750812620, 2567527255, 3706873030]
F. [66952950, 115479760, 193077460, 313981640, 498033270, 772409519, 1173759855, 1750812625, 2567527258, 3706873070]
G. [66952936, 115479776, 193077449, 313981688, 498033282, 772409528, 1173759851, 1750812624, 2567527260, 3706873040]
H. [66952920, 115479790, 193077440, 313981686, 498033276, 772409526, 1173759840, 1750812610, 2567527250, 3706873035]
I. [66952945, 115479775, 193077469, 313981650, 498033279, 772409510, 1173759800, 1750812599, 2567527245, 3706873090]
J. [66952930, 115479700, 193077455, 313981685, 498033285, 772409530, 1173759854, 1750812622, 2567527290, 3706873060]
Answer: G
We now define an algorithm: The definition of a(n) is the sum of Euler's totient function φ(p) for each distinct prime p that divides n. Given the input x_list (a series of values): [72, 73, 74, 75, 76, 77, 78, 79, 80, 81], determine the corresponding output sequence y_list.

Options:
A. [8, 71, 39, 10, 25, 13, 19, 75, 11, 6]
B. [5, 70, 34, 7, 21, 14, 12, 70, 8, 4]
C. [4, 60, 36, 5, 22, 15, 18, 66, 7, 1]
D. [3, 72, 37, 6, 19, 16, 15, 78, 5, 2]
E. [1, 66, 30, 14, 27, 11, 10, 72, 13, 0]
F. [7, 74, 35, 8, 20, 17, 13, 77, 6, 3]
G. [2, 73, 33, 9, 24, 18, 16, 79, 4, 5]
H. [10, 67, 31, 13, 26, 12, 11, 73, 12, 9]
I. [6, 69, 32, 11, 18, 20, 17, 76, 9, 7]
J. [9, 68, 38, 12, 23, 19, 14, 74, 10, 8]
Answer: D
We now define an algorithm: The definition of a(n) is the parity of the number of zero digits when n is written in binary. Given the input x_list (a series of values): [96, 97, 98, 99, 100, 101, 102, 103, 104, 105], determine the corresponding output sequence y_list.

Options:
A. [0, 0, 1, 1, 0, 0, 1, 0, 1, 1]
B. [1, 1, 0, 1, 1, 0, 0, 1, 1, 0]
C. [1, 1, 0, 0, 0, 1, 1, 0, 0, 1]
D. [0, 1, 1, 0, 1, 1, 0, 0, 1, 0]
E. [1, 0, 0, 1, 0, 1, 1, 0, 0, 1]
F. [0, 1, 0, 1, 0, 1, 1, 1, 0, 0]
G. [1, 0, 0, 1, 1, 0, 1, 0, 0, 0]
H. [0, 1, 1, 0, 0, 1, 1, 0, 1, 0]
I. [0, 0, 1, 0, 1, 0, 0, 1, 0, 1]
J. [1, 0, 1, 0, 1, 1, 0, 1, 0, 1]
Answer: E