Solve the following sql problem:
Among the players who went to high school in Chicago, how many of them belongs to the west conference?

Schema:
SCHEMA:
- Table: awards_players
  - Column: playerID
    - Samples: [abdulka01, abdulka01, abdulka01, abdulka01, abdulka01]
  - Column: award
    - Samples: [All-Defensive Second Team, All-NBA Second Team, Rookie of the Year, All-Defensive Second Team, All-NBA First Team]
  - Column: year
    - Samples: [1969, 1969, 1969, 1970, 1970]
  - Column: lgID
    - Samples: [NBA, NBA, NBA, NBA, NBA]
  - Column: note
    - Samples: [None, None, None, None, None]
  - Column: pos
    - Samples: [None, C, None, None, C]
- Table: coaches
  - Column: coachID
    - Samples: [adelmri01, adelmri01, adelmri01, adelmri01, adelmri01]
  - Column: year
    - Samples: [1988, 1989, 1990, 1991, 1992]
  - Column: tmID
    - Samples: [POR, POR, POR, POR, POR]
  - Column: lgID
    - Samples: [NBA, NBA, NBA, NBA, NBA]
  - Column: stint
    - Samples: [2, 1, 1, 1, 1]
  - Column: won
    - Samples: [14, 59, 63, 57, 51]
  - Column: lost
    - Samples: [21, 23, 19, 25, 31]
  - Column: post_wins
    - Samples: [0, 12, 9, 13, 1]
  - Column: post_losses
    - Samples: [3, 9, 7, 8, 3]
- Table: draft
  - Column: id
    - Samples: [1, 2, 3, 4, 5]
  - Column: draftYear
    - Samples: [1967, 1967, 1967, 1967, 1967]
  - Column: draftRound
    - Samples: [0, 0, 0, 0, 0]
  - Column: draftSelection
    - Samples: [0, 0, 0, 0, 0]
  - Column: draftOverall
    - Samples: [0, 0, 0, 0, 0]
  - Column: tmID
    - Samples: [ANA, ANA, ANA, ANA, ANA]
  - Column: firstName
    - Samples: [Darrell, Bob, Bob, Mike, Tom]
  - Column: lastName
    - Samples: [Hardy, Krulish, Lewis, Lynn, Workman]
  - Column: suffixName
    - Samples: [None, None, None, None, None]
  - Column: playerID
    - Samples: [hardyda01, None, lewisbo01, lynnmi01, workmto01]
  - Column: draftFrom
    - Samples: [Baylor, Pacific, North Carolina, UCLA, Seattle]
  - Column: lgID
    - Samples: [ABA, ABA, ABA, ABA, ABA]
- Table: player_allstar
  - Column: playerID
    - Samples: [abdulka01, abdulka01, abdulka01, abdulka01, abdulka01]
  - Column: last_name
    - Samples: [Abdul-Jabbar, Abdul-Jabbar, Abdul-Jabbar, Abdul-Jabbar, Abdul-Jabbar]
  - Column: first_name
    - Samples: [Kareem, Kareem, Kareem, Kareem, Kareem]
  - Column: season_id
    - Samples: [1969, 1970, 1971, 1972, 1973]
  - Column: conference
    - Samples: [East, West, West, West, West]
  - Column: league_id
    - Samples: [NBA, NBA, NBA, NBA, NBA]
  - Column: games_played
    - Samples: [1, 1, 1, 1, 1]
  - Column: minutes
    - Samples: [18, 30, 19, 98, 23]
  - Column: points
    - Samples: [10, 19, 12, None, 14]
  - Column: o_rebounds
    - Samples: [None, None, None, None, None]
  - Column: d_rebounds
    - Samples: [None, None, None, None, None]
  - Column: rebounds
    - Samples: [11, 14, 7, None, 8]
  - Column: assists
    - Samples: [4, 1, 2, None, 6]
  - Column: steals
    - Samples: [None, None, None, None, None]
  - Column: blocks
    - Samples: [None, None, None, None, None]
  - Column: turnovers
    - Samples: [None, None, None, None, None]
  - Column: personal_fouls
    - Samples: [None, None, None, None, None]
  - Column: fg_attempted
    - Samples: [8, 16, 10, None, 11]
  - Column: fg_made
    - Samples: [4, 8, 5, None, 7]
  - Column: ft_attempted
    - Samples: [2, 4, 2, None, 0]
  - Column: ft_made
    - Samples: [2, 3, 2, None, 0]
  - Column: three_attempted
    - Samples: [None, None, None, None, None]
  - Column: three_made
    - Samples: [None, None, None, None, None]
- Table: players
  - Column: playerID
    - Samples: [abdelal01, abdulka01, abdulma01, abdulma02, abdulta01]
  - Column: useFirst
    - Samples: [Alaa, Kareem, Mahdi, Mahmoud, Tariq]
  - Column: firstName
    - Samples: [Alaa, Kareem, Mahdi, Mahmoud, Tariq]
  - Column: middleName
    - Samples: [None, None, None, None, None]
  - Column: lastName
    - Samples: [Abdelnaby, Abdul-Jabbar, Abdul-Rahman, Abdul-Rauf, Abdul-Wahad]
  - Column: nameGiven
    - Samples: [None, None, None, None, None]
  - Column: fullGivenName
    - Samples: [None, Ferdinand Lewis Alcindor, Jr., Walter Raphael Hazzard, Jr., Chris Wayne Jackson, Olivier Michael Saint-Jean]
  - Column: nameSuffix
    - Samples: [None, None, None, None, None]
  - Column: nameNick
    - Samples: [None, Lew, Cap, Walt, None, None]
  - Column: pos
    - Samples: [F-C, C, G, G, G-F]
  - Column: firstseason
    - Samples: [0, 0, 0, 0, 0]
  - Column: lastseason
    - Samples: [0, 0, 0, 0, 0]
  - Column: height
    - Samples: [82.0, 85.0, 74.0, 73.0, 78.0]
  - Column: weight
    - Samples: [240, 225, 185, 162, 223]
  - Column: college
    - Samples: [Duke, UCLA, UCLA, Louisiana State, San Jose State]
  - Column: collegeOther
    - Samples: [None, None, Santa Monica City, None, Michigan]
  - Column: birthDate
    - Samples: [1968-06-24, 1947-04-16, 1942-04-15, 1969-03-09, 1974-11-03]
  - Column: birthCity
    - Samples: [Cairo, New York, Wilmington, Gulfport, Maisons Alfort]
  - Column: birthState
    - Samples: [None, NY, DE, MS, None]
  - Column: birthCountry
    - Samples: [EGY, USA, USA, USA, FRA]
  - Column: highSchool
    - Samples: [Bloomfield Senior, Power Memorial, Overbrook / Moton, Gulfport, Lycee Aristide Briand]
  - Column: hsCity
    - Samples: [Bloomfield, New York, Philadelphia / Easton, Gulfport, Evreux]
  - Column: hsState
    - Samples: [NJ, NY, PA / MD, MS, None]
  - Column: hsCountry
    - Samples: [USA, USA, USA, USA, FRA]
  - Column: deathDate
    - Samples: [0000-00-00, 0000-00-00, 2011-11-18, 0000-00-00, 0000-00-00]
  - Column: race
    - Samples: [B, B, B, B, B]
- Table: teams
  - Column: year
    - Samples: [1937, 1937, 1937, 1937, 1937]
  - Column: lgID
    - Samples: [NBL, NBL, NBL, NBL, NBL]
  - Column: tmID
    - Samples: [AFS, AGW, BFB, CNC, COL]
  - Column: franchID
    - Samples: [AFS, AGW, BFB, CNC, COL]
  - Column: confID
    - Samples: [None, None, None, None, None]
  - Column: divID
    - Samples: [EA, EA, EA, WE, EA]
  - Column: rank
    - Samples: [1, 2, 4, 5, 6]
  - Column: confRank
    - Samples: [0, 0, 0, 0, 0]
  - Column: playoff
    - Samples: [CF, WC, None, None, None]
  - Column: name
    - Samples: [Akron Firestone Non-Skids, Akron Goodyear Wingfoots, Buffalo Bisons, Richmond King Clothiers/Cincinnati Comellos, Columbus Athletic Supply]
  - Column: o_fgm
    - Samples: [249, 243, 108, 110, 109]
  - Column: o_ftm
    - Samples: [183, 159, 46, 42, 64]
  - Column: o_pts
    - Samples: [681, 645, 262, 262, 282]
  - Column: d_pts
    - Samples: [578, 498, 275, 338, 426]
  - Column: homeWon
    - Samples: [8, 8, 2, 3, 1]
  - Column: homeLost
    - Samples: [1, 1, 2, 1, 3]
  - Column: awayWon
    - Samples: [5, 5, 1, 0, 0]
  - Column: awayLost
    - Samples: [3, 4, 4, 5, 7]
  - Column: won
    - Samples: [14, 13, 3, 3, 1]
  - Column: lost
    - Samples: [4, 5, 6, 7, 12]
  - Column: games
    - Samples: [18, 18, 9, 10, 13]
  - Column: arena
    - Samples: [None, None, None, None, None]
- Table: awards_coaches
  - Column: id
    - Samples: [1, 2, 3, 4, 5]
  - Column: year
    - Samples: [1962, 1963, 1964, 1965, 1966]
  - Column: coachID
    - Samples: [gallaha01, hannual01, auerbre01, schaydo01, kerrjo01]
  - Column: award
    - Samples: [NBA Coach of the Year, NBA Coach of the Year, NBA Coach of the Year, NBA Coach of the Year, NBA Coach of the Year]
  - Column: lgID
    - Samples: [NBA, NBA, NBA, NBA, NBA]
  - Column: note
    - Samples: [None, None, None, None, None]
- Table: players_teams
  - Column: id
    - Samples: [1, 2, 3, 4, 5]
  - Column: playerID
    - Samples: [abdelal01, abdelal01, abdelal01, abdelal01, abdelal01]
  - Column: year
    - Samples: [1990, 1991, 1992, 1992, 1993]
  - Column: stint
    - Samples: [1, 1, 1, 2, 1]
  - Column: tmID
    - Samples: [POR, POR, MIL, BOS, BOS]
  - Column: lgID
    - Samples: [NBA, NBA, NBA, NBA, NBA]
  - Column: GP
    - Samples: [43, 71, 12, 63, 13]
  - Column: GS
    - Samples: [0, 0, 0, 0, 0]
  - Column: minutes
    - Samples: [290, 934, 159, 1152, 159]
  - Column: points
    - Samples: [135, 432, 64, 514, 64]
  - Column: oRebounds
    - Samples: [27, 81, 12, 114, 12]
  - Column: dRebounds
    - Samples: [62, 179, 25, 186, 34]
  - Column: rebounds
    - Samples: [89, 260, 37, 300, 46]
  - Column: assists
    - Samples: [12, 30, 10, 17, 3]
  - Column: steals
    - Samples: [4, 25, 6, 19, 2]
  - Column: blocks
    - Samples: [12, 17, 4, 22, 3]
  - Column: turnovers
    - Samples: [22, 66, 0, 97, 17]
  - Column: PF
    - Samples: [39, 132, 24, 165, 20]
  - Column: fgAttempted
    - Samples: [116, 361, 56, 417, 55]
  - Column: fgMade
    - Samples: [55, 178, 26, 219, 24]
  - Column: ftAttempted
    - Samples: [44, 101, 16, 100, 25]
  - Column: ftMade
    - Samples: [25, 76, 12, 76, 16]
  - Column: threeAttempted
    - Samples: [0, 0, 1, 0, 0]
  - Column: threeMade
    - Samples: [0, 0, 0, 0, 0]
  - Column: PostGP
    - Samples: [5, 8, 0, 4, 0]
  - Column: PostGS
    - Samples: [0, 0, 0, 0, 0]
  - Column: PostMinutes
    - Samples: [13, 25, 0, 68, 0]
  - Column: PostPoints
    - Samples: [4, 12, 0, 22, 0]
  - Column: PostoRebounds
    - Samples: [1, 0, 0, 2, 0]
  - Column: PostdRebounds
    - Samples: [2, 4, 0, 11, 0]
  - Column: PostRebounds
    - Samples: [3, 4, 0, 13, 0]
  - Column: PostAssists
    - Samples: [0, 2, 0, 1, 0]
  - Column: PostSteals
    - Samples: [0, 0, 0, 0, 0]
  - Column: PostBlocks
    - Samples: [0, 0, 0, 1, 0]
  - Column: PostTurnovers
    - Samples: [0, 2, 0, 9, 0]
  - Column: PostPF
    - Samples: [0, 4, 0, 7, 0]
  - Column: PostfgAttempted
    - Samples: [6, 10, 0, 24, 0]
  - Column: PostfgMade
    - Samples: [2, 5, 0, 11, 0]
  - Column: PostftAttempted
    - Samples: [0, 4, 0, 0, 0]
  - Column: PostftMade
    - Samples: [0, 2, 0, 0, 0]
  - Column: PostthreeAttempted
    - Samples: [0, 0, 0, 0, 0]
  - Column: PostthreeMade
    - Samples: [0, 0, 0, 0, 0]
  - Column: note
    - Samples: [None, None, None, None, None]
- Table: series_post
  - Column: id
    - Samples: [1, 2, 3, 4, 5]
  - Column: year
    - Samples: [1946, 1946, 1946, 1946, 1946]
  - Column: round
    - Samples: [F, QF, QF, SF, SF]
  - Column: series
    - Samples: [O, M, M, N, N]
  - Column: tmIDWinner
    - Samples: [PHW, NYK, PHW, PHW, CHS]
  - Column: lgIDWinner
    - Samples: [NBA, NBA, NBA, NBA, NBA]
  - Column: tmIDLoser
    - Samples: [CHS, CLR, STB, NYK, WSC]
  - Column: lgIDLoser
    - Samples: [NBA, NBA, NBA, NBA, NBA]
  - Column: W
    - Samples: [4, 2, 2, 2, 4]
  - Column: L
    - Samples: [1, 1, 1, 0, 2]

SELECT COUNT(DISTINCT T1.playerID) FROM players AS T1 INNER JOIN player_allstar AS T2 ON T1.playerID = T2.playerID WHERE T1.hsCity = 'Chicago' AND T2.conference = 'West'