Milwaukee Brewers First-Place Clinch Scenario

Milwaukee's traditional magic number (relative to second-place Chicago) is 0 + 162 - 0 + 1 = 163.
Milwaukee's first-place clinch number is 156.
Milwaukee must win 156 more games (156 total) to clinch first place.

If Milwaukee wins 156 more games, their final win total will be at least 156.
The table below shows the best case scenario for each of the other teams if Milwaukee wins 156 of their remaining 162 games and loses the other 6.
For each team, the table shows the current record (number of wins (W) and losses (L)) and the number of games that team has
left to play (GL) in the regular season. Taking the schedule of games left to play into account, the 'Losses to Milwaukee' column gives the
minimum number of games that each team will lose to Milwaukee if Milwaukee wins 156 more games. Assuming that a team wins all of its remaining games except for
the games it loses to Milwaukee, the resulting maximum number of wins is shown in the 'Maximum W' column.

Team             W	L	GL	Losses to Milwaukee	Maximum W
Chicago          0	0	162	      13 - 6 = 7	155
Cincinnati       0	0	162	      13 - 6 = 7	155
Pittsburgh       0	0	162	      13 - 6 = 7	155
St. Louis        0	0	162	      13 - 6 = 7	155

The table above shows that if Milwaukee wins 156 more games (156 total), then they will finish the season in first place in the division.

To see that Milwaukee's first-place clinch number cannot be less than 156, consider the following scenario in which Milwaukee wins 155 more games (155 total) but does not finish in first place:

Team             W	L	PCT	GB
Pittsburgh       156	6	0.963	0.00
Milwaukee        155	7	0.957	0.00
St. Louis        64	98	0.395	91.00
Cincinnati       35	127	0.216	120.00
Chicago          33	129	0.204	122.00

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Chicago          0	0	162	0.000	0.0
Cincinnati       0	0	162	0.000	0.0
Milwaukee        0	0	162	0.000	0.0
Pittsburgh       0	0	162	0.000	0.0
St. Louis        0	0	162	0.000	0.0

Next, we show how the remaining series of games in the division play out in the scenario:


Chicago currently has 0 wins against St. Louis and 0 losses.
  Chicago wins 13 additional games against St. Louis and loses 0.
  Chicago wins the series 13 games to 0

Cincinnati currently has 0 wins against Chicago and 0 losses.
  Cincinnati wins 13 additional games against Chicago and loses 0.
  Cincinnati wins the series 13 games to 0

Milwaukee currently has 0 wins against Chicago and 0 losses.
  Milwaukee wins 13 additional games against Chicago and loses 0.
  Milwaukee wins the series 13 games to 0

Milwaukee currently has 0 wins against Cincinnati and 0 losses.
  Milwaukee wins 13 additional games against Cincinnati and loses 0.
  Milwaukee wins the series 13 games to 0

Milwaukee currently has 0 wins against St. Louis and 0 losses.
  Milwaukee wins 13 additional games against St. Louis and loses 0.
  Milwaukee wins the series 13 games to 0

Pittsburgh currently has 0 wins against Chicago and 0 losses.
  Pittsburgh wins 13 additional games against Chicago and loses 0.
  Pittsburgh wins the series 13 games to 0

Pittsburgh currently has 0 wins against Cincinnati and 0 losses.
  Pittsburgh wins 13 additional games against Cincinnati and loses 0.
  Pittsburgh wins the series 13 games to 0

Pittsburgh currently has 0 wins against Milwaukee and 0 losses.
  Pittsburgh wins 7 additional games against Milwaukee and loses 6.
  Pittsburgh wins the series 7 games to 6

Pittsburgh currently has 0 wins against St. Louis and 0 losses.
  Pittsburgh wins 13 additional games against St. Louis and loses 0.
  Pittsburgh wins the series 13 games to 0

St. Louis currently has 0 wins against Cincinnati and 0 losses.
  St. Louis wins 13 additional games against Cincinnati and loses 0.
  St. Louis wins the series 13 games to 0

Chicago wins 20 games agains teams outside the division and loses 90.
Cincinnati wins 22 games agains teams outside the division and loses 88.
Milwaukee wins 110 games agains teams outside the division and loses 0.
Pittsburgh wins 110 games agains teams outside the division and loses 0.
St. Louis wins 51 games agains teams outside the division and loses 59.

Combining the current standings with the wins and losses from the scenario results in the final standings listed above.
# Milwaukee Brewers' magic number
# Milwaukee's magic number
# Brewers' magic number
# MLB Playoff Race