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So if formula_7, the expected number of claws is at least 1.
If classical computers are used, the best algorithm is similar to a Meet-in-the-middle attack, first described by Diffie and Hellman.
The algorithm works as follows: assume formula_13.
For every formula_14, save the pair formula_15 in a hash table indexed by formula_16.
Then, for every formula_17, look up the table at formula_18.
If such an index exists, we found a claw.
This approach takes time formula_19 and memory formula_20.
If quantum computers are used, Seiichiro Tani showed that a claw can be found in complexity formula_21.
Shengyu Zhang showed that asymptotically these algorithms are the most efficient possible.
As noted, most applications of the claw finding problem appear in cryptography.
Examples include:
1957 Texas Longhorns baseball team
The 1957 Texas Longhorns baseball team represented the University of Texas at Austin in the 1957 NCAA University Division baseball season.
The Longhorns played their home games at Clark Field.
The team was coached by Bibb Falk in his 15th season at Texas.
The Longhorns reached the College World Series, but were eliminated by in the quarterfinal.
Sameera Gunaratne
Sameera Gunaratne (born 12 February 1996) is a Sri Lankan cricketer.
He made his List A debut on 15 December 2019, for Nugegoda Sports Welfare Club in the 2019–20 Invitation Limited Over Tournament.
Poorna Wannithilake
Poorna Wannithilake (born 3 March 1998) is a Sri Lankan cricketer.
He made his List A debut on 15 December 2019, for Nugegoda Sports Welfare Club in the 2019–20 Invitation Limited Over Tournament.
He made his Twenty20 debut on 12 January 2020, for Nugegoda Sports Welfare Club in the 2019–20 SLC Twenty20 Tournament.
Daniel Emmanuel Asafo-Agyei
Daniel Emmanuel Asafo-Agyei was a Ghanaian politician and merchant.
He replaced Cobina Kessie as the member of parliament for the Kumasi North constituency in 1959 when the latter took up a diplomatic appointment as Ghana's ambassador to Liberia.
Asafo-Agyei represented Kumasi North from 1959 until 1965 when he became the member of parliament for the Manhyia constituency.
While in parliament, he was appointed deputy minister for Agriculture and in 1965 he was appointed minister for Fisheries (a new ministry that had been created at the time).
He served in this capacity until February 1966 when the Nkrumah government was overthrown.
Rahul Gunasekera
Rahul Gunasekera (born 24 May 2001) is a Sri Lankan cricketer.
He made his List A debut on 15 December 2019, for Nugegoda Sports Welfare Club in the 2019–20 Invitation Limited Over Tournament.
Making a Killing
Making a Killing is a 2018 Canadian-American crime-mystery film co-written, co-produced and directed by Devin Hume.
The movie starting Mike Starr, Jude Moran, Michael Jai White and Christopher Lloyd was limited release in Los Angeles on August 10, 2018.
When Arthur and Vincent Herring are asked to keep a collection of rare coins worth a fortune, they plan never return the collection to its owner.
Kimber Myers from the Los Angeles Times called the film "a cheap Nevada Barr knockoff that lacks suspense, or a dusty paperback thriller you'd find at a rest stop."
Matthew Pejkovic writing for "Matt's Movie Reviews" gave the film 3 out of 5 stars, stating: "Featuring a dynamic central performance from Michael Jai White, "Making a Killing" is a true crime story that has the characters and plot that will suck you into its stranger than fiction tale."
Rich Cline from the "Shadows on the Wall" gave the movie 4 out of 5 stars and said: "Each of the characters bristles with life, making their conversations edgy and unpredictable.
The actors have a great time playing with the detailed characterisations."
Semyonovsky Uyezd
Semyonovsky Uyezd ("Семёновский уезд") was one of the subdivisions of the Nizhny Novgorod Governorate of the Russian Empire.
It was situated in the northern part of the governorate.
Its administrative centre was Semyonov.
At the time of the Russian Empire Census of 1897, Semyonovsky Uyezd had a population of 111,388.
Of these, 99.9% spoke Russian as their native language.
Roberta Byrd Barr
Roberta Byrd Barr (January 4, 1919 – June 23, 1993) was an American civil rights activist, television personality, educator, and librarian.
From the mid 1960s to the early 1970s, she hosted a weekly Seattle television show, "Face to Face", which featured guest speakers discussing issues such as race, education, and welfare.
In 1973 she became the first woman principal of a high school in Seattle.
Roberta Spencer was born in Tacoma, Washington on January 4, 1919.
She attended Lincoln High School and Wilberforce University.
She also attended the New School of Social Research.
She later earned a bachelor's degree in sociology and elementary education as well as a master's degree in librarianship from the University of Washington.
Barr worked as a teacher and librarian in a number of schools within Seattle.
During the Seattle school boycott of 1966, she headed one of the Freedom Schools that were set up in protest of the lack of progress towards desegregation.
That same year, she was appointed to the Washington State Board Against Discrimination.
She was appointed vice principal of Franklin High School in 1968, after 150 students held a sit-in protesting the expulsion of black female students who chose to wear their hair in a natural style.
In 1973 Barr became the principal of Lincoln High School, becoming both the first woman and the first African American to be a principal in the Seattle Public Schools district.
Barr's career in acting began when she starred in a Cirque Theatre production of A Raisin in the Sun alongside Greg Morris.
She hosted a KCTS-TV show named "Let's Imagine" where she told stories for young children.
She moderated an audience participation show called "Face to Face" on KING-TV from 1965-1970 and on KCTS from 1971-1972.
Barr interviewed people who were considered too radical for other television shows, including Cesar Chavez.
The show's producer, Jean Walkinshaw, described Barr as waking "up the community to all kinds of things that had been overlooked."
Seattle advocacy organization Byrd Barr Place (originally Central Area Motivation Program) was renamed in 2018 to honor Barr, who was at one time a writer for the group's monthly newsletter; the organization focuses on improving the lives of low-income people throughout Washington State.
Barr's photo hangs in the Douglass-Truth Branch of the Seattle Public Library to honor her efforts to promote the development of the library's African-American Collection.
Naci Ünüvar
Naci Ünüvar (born 13 June 2003) is a Dutch footballer who currently plays as a forward for Jong Ajax.
Born in the Netherlands, Ünüvar is of Turkish descent.
He is a youth international for the Netherlands.
Yeo Sang-kyoo
Yeo Sang-kyoo (Korean: 여상규, born 15 September 1948) is a South Korean judge, lawyer and politician.
He is the incumbent Member of National Assembly for Sacheon-Namhae-Hadong, as well as the Chairman of the Legislation and Judiciary Committee.
Born in Hadong, Yeo was educated at Akyang Primary School, Akyang Secondary School, and Kyungnam High School.
He earned a bachelor's degree in law from Seoul National University.
After the graduation, he passed the judicial examination in 1978, and was appointed as a judge of the Seoul Central District Court in 1980.
In 1990, he switched to the Seoul High Court and worked at there for 3 years.
Yeo is also the incumbent director of the Bang Il-young Cultural Foundation since 1993.
After working at several organisations, Yeo was brought to the Grand National Party (GNP), prior to the 2008 election.
He was selected as a MP candidate for Namhae-Hadong, replacing the incumbent Park Hui-tae.
He defeated Kim Doo-kwan (Independent) and Kim Yoon-gon (FPPU).
In 2012 election, Yeo ran for newly-created Sacheon-Namhae-Hadong constituency, and won the election.
Few months after the re-election in 2016, he left Saenuri Party (Liberty Korea Party since February 2017) and joined Bareun Party.
However, he returned to Liberty Korea Party on 2 May 2017 and endorsed Hong Joon-pyo for the upcoming presidential election.
On 27 January 2018, "Unanswered Questions" of SBS reported that Suk Dal-yoon was convicted of letting spy in 1981, where Yeo was the judge in charge.
In the programme, Suk's son, Suk Kwon-ho, explained that his father was tortured by the Korean Central Intelligence Agency, such as putting a ballpoint pen refill into his penis.
Following are the telephone conversation between Yeo and the programme emcee.
Following his reaction, several Democratic MPs including Son Hye-won, Jin Sun-mee and Jung Chung-rae condemned him.
Jin called his reaction as "disgusting", whereas Jung criticised him as "disrespectful".
Kwon Sung-joo, the spokesperson of the Bareun Party, urged him to apologise.
1926–27 Dundalk F.C.
season
Dundalk G.N.R.
made their debut in the Free State League, the top tier of Irish football, in 1926–27.
They had played the previous four seasons in the Leinster Senior League.
The team was managed by Joe McCleery, previously of Belfast Celtic F.C., who used his connections to Northern Irish football to ensure a supply of players for the season ahead.
Home matches were played at the Dundalk Athletic Grounds (a facility near the town centre shared by several sporting codes), but on weekends when the Athletic Grounds were unavailable, matches would usually move to the Carroll's Recreation Ground.
On 15 June 1926 Dundalk G.N.R.
were elected to the Free State League to replace Pioneers, as the nascent League looked to spread to the provinces.
As it was entering its sixth season, nine clubs had already dropped out of the Free State League, so the challenge facing the new club was great.