# Beginner Logic Puzzle: NBA Teams Walkthrough

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(2/30)
Memphis Grizzlies tell you that the San Antonio Spurs were better than 56-26, so the San Antonio Spurs were a Winning team.

(3/30)
San Antonio Spurs tell you that the Los Angeles Clippers and Los Angeles Lakers were both Winning teams.

(5/30)
San Antonio Spurs tell you that either the Golden State Warriors or Sacramento Kings were a winning team. Therefore, according to the Los Angeles Clippers, the Golden State Warriors were a Winning team.

(6/30)
Golden State Warriors tell you that the Chicago Bulls and and Houston Rockets were both 45-37, that is, Winning teams.

(8/30)
Chicago Bulls tell you that the Miami Heat were a Winning team, since every team played 82 games, according to the Los Angeles Lakers.

The Houston Rockets tell you that every division except that one has to have two winning teams and two losing teams. So you know that both the Phoenix Suns and Sacramento Kings are Losing teams.

(11/30)
Miami Heat tell you that the Atlanta Hawks were a Winning team.

(12/30)
The Miami Heat tell you that none of the Charlotte Hornets, Orlando Magic, or Washington Wizards were winning teams. The Atlanta Hawks tell you that none of those teams was .500. So all three of them were Losing teams.

According to the Sacramento Kings, the Milwaukee Bucks must have been .500.

(16/30)
The Detroit Pistons tell you that exactly one team in the division had a worse record than they did. The Milwaukee Bucks tell you that the Indiana Pacers were either 49-33 or 33-49. If they were 33-49, then the Cleveland Cavaliers would also have to be a losing team with fewer than 29 wins in order for the Detroit Pistons clue to be true. But then that division would be one winning team, one .500 team, and three losing teams. But according to the Houston Rockets, it has to have at least two losing teams. So the Indiana Pacers are not a losing team, meaning they lost 33 games, making them a Winning team.

(17/30)
According to the Houston Rockets, the Cleveland Cavaliers must be a Losing team.

(18/30)
So far the only team in the middle of the division with the best division record is the Miami Heat. This means, according to the Cleveland Cavaliers, that the New York Knicks and the Oklahoma City Thunder were both Winning teams, since the Houston Rockets require at least two winning teams per division (except their own).

(20/30)
According to the Orlando Magic, the Minnesota Timberwolves were 28-54, that is, a Losing record.

(21/30)
The Houston Rockets require at least two winning teams and at least two losing teams in every division except their own. The Los Angeles Clippers tell you that the San Antonio Spurs are not adjacent to any winning team, including Portland and Utah. This means that the Denver Nuggets are a Winning team.

(22/30)
The Los Angeles Clippers tell you that the San Antonio Spurs are not adjacent to any winning team, including Utah. Denver Nuggets tell you that the Utah Jazz won as many games as two teams from the Atlanta Hawks’ division combined. The only two teams in that division whose win totals do not sum to at least 42 (which would make Utah a winning team) are Charlotte Hornets + Orlando Magic. Their wins total 41, which means that the Utah Jazz were a .500 team.

(23/30)
According to the Houston Rockets, the Portland Trail Blazers must have been a Losing team.

(24/30)
The Portland Trail Blazers tell you that the Toronto Raptors won 34 games, which means they lost 48 and are a Losing team.

(25/30)
The New Orleans Pelicans were not a winning team, according to the Los Angeles Clippers. The New Orleans Pelicans were also not a .500 team, according to the Toronto Raptors + New York Knicks. So the New Orleans Pelicans were a Losing team.

(26/30)
The New York Knicks tell you there were four .500 teams. Right now you have two. According to the Houston Rockets, the top division cannot have two .500 teams, so you know that one of those remaining two .500 teams is the Dallas Mavericks.

(27/30)
Now you know that the top division has the last remaining .500 team (New York Knicks), as well as two winning teams and two losing teams (Houston Rockets). This means that the middle record within that division must be the .500 team, so according to the Dallas Mavericks, the Boston Celtics were .500.

(28/30)
The Boston Celtics tell you that the Brooklyn Nets must have been better than the Chicago Bulls, meaning they were a Winning team.

(29/30)
According to the Houston Rockets, the Philadelphia 76ers were a Losing team.

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