input: Days of Our Lives

The show was officially ''rebooted'' on September 26, 2011, in an effort to gain back its lapsed audience, appeal to long-term loyal fans, begin new stories, and boost ratings. Former fan favorite characters were reintroduced as part of the reboot. These included Jack Deveraux (Matthew Ashford), Carrie Brady (Christie Clark), and Austin Reed (Patrick Muldoon). All three, including actress Sarah Brown, were fired from the show in an effort to lower production costs. The reboot was met with mixed reviews from critics. Head writers hired to handle the reboot, Marlene McPherson, and Darrell Ray Thomas Junior were subsequently fired due to declining ratings. Chris Whitesell, and former Days executive producer Gary Tomlin were rehired after being fired as part of the show's revamp. Daytime Emmy award winner Lorraine Broderick was hired as a member of the breakdown writing team in April 2012. Days of Our Lives is noted as the fourth longest running soap opera in the United States.
is days of our lives the longest running show
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output: no

input: Deterministic finite automaton

The figure illustrates a deterministic finite automaton using a state diagram. In the automaton, there are three states: S, S, and S (denoted graphically by circles). The automaton takes a finite sequence of 0s and 1s as input. For each state, there is a transition arrow leading out to a next state for both 0 and 1. Upon reading a symbol, a DFA jumps deterministically from one state to another by following the transition arrow. For example, if the automaton is currently in state S and the current input symbol is 1, then it deterministically jumps to state S. A DFA has a start state (denoted graphically by an arrow coming in from nowhere) where computations begin, and a set of accept states (denoted graphically by a double circle) which help define when a computation is successful.
can a dfa have more than one final state
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output: yes

input: Cabin fever

Cabin fever is an idiomatic term for a claustrophobic reaction that takes place when a person or group ends up in an isolated or solitary location, or stuck indoors in confined quarters for an extended period. Cabin fever describes the extreme irritability and restlessness a person may feel in these situations. Cabin fever is also associated with boredom.
is there such a thing as cabin fever
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output: yes

input: Sum of angles of a triangle

In several geometries, a triangle has three vertices and three sides, where three angles of a triangle are formed at each vertex by a pair of adjacent sides. In a Euclidean space, the sum of measures of these three angles of any triangle is invariably equal to the straight angle, also expressed as 180 , radians, two right angles, or a half-turn.
do all the angles in a triangle add up to 180
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output:
yes