Atlanta Braves First-Place Clinch Scenario

Atlanta's traditional magic number (relative to second-place Philadelphia) is 61 + 48 - 68 + 1 = 42.
Atlanta's first-place clinch number is also 42.
Atlanta must win 42 more games (110 total) to clinch first place.

If Atlanta wins 42 more games, their final win total will be at least 110.
The table below shows the best case scenario for each of the other teams if Atlanta wins 42 of their remaining 49 games and loses the other 7.
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 Atlanta' column gives the
minimum number of games that each team will lose to Atlanta if Atlanta wins 42 more games. Assuming that a team wins all of its remaining games except for
the games it loses to Atlanta, the resulting maximum number of wins is shown in the 'Maximum W' column.

Team             W	L	GL	Losses to Atlanta	Maximum W
Philadelphia     61	53	48	               0	109
Miami            58	56	48	               0	106
Washington       55	60	47	               0	102
NYMets           48	66	48	               0	96

The table above shows that if Atlanta wins 42 more games (110 total), then they will finish the season in first place in the division.

To see that Atlanta's first-place clinch number cannot be less than 42, consider the following scenario in which Atlanta wins 41 more games (109 total) but does not finish in first place:

Team             W	L	PCT	GB
Philadelphia     109	53	0.673	0.00
Atlanta          109	53	0.673	0.00
Miami            75	87	0.463	34.00
NYMets           74	88	0.457	35.00
Washington       67	95	0.414	42.00

Tie breakers
Philadelphia wins the season series with Atlanta 8 games to 5.

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Atlanta          68	45	49	0.602	0.0
Philadelphia     61	53	48	0.535	7.5
Miami            58	56	48	0.509	10.5
Washington       55	60	47	0.478	14.0
NYMets           48	66	48	0.421	20.5

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


Atlanta currently has 6 wins against Miami and 2 losses.
  Atlanta wins 5 additional games against Miami and loses 0.
  Atlanta wins the series 11 games to 2

Atlanta currently has 4 wins against NYMets and 6 losses.
  Atlanta wins 3 additional games against NYMets and loses 0.
  Atlanta wins the series 7 games to 6

Atlanta currently has 8 wins against Washington and 3 losses.
  Atlanta wins 2 additional games against Washington and loses 0.
  Atlanta wins the series 10 games to 3

Miami currently has 6 wins against NYMets and 4 losses.
  Miami wins 1 additional games against NYMets and loses 2.
  Miami wins the series 7 games to 6

Miami currently has 5 wins against Washington and 1 losses.
  Miami wins 7 additional games against Washington and loses 0.
  Miami wins the series 12 games to 1

NYMets currently has 3 wins against Washington and 4 losses.
  NYMets wins 6 additional games against Washington and loses 0.
  NYMets wins the series 9 games to 4

Philadelphia currently has 1 wins against Atlanta and 5 losses.
  Philadelphia wins 7 additional games against Atlanta and loses 0.
  Philadelphia wins the series 8 games to 5

Philadelphia currently has 5 wins against Miami and 5 losses.
  Philadelphia wins 3 additional games against Miami and loses 0.
  Philadelphia wins the series 8 games to 5

Philadelphia currently has 5 wins against NYMets and 4 losses.
  Philadelphia wins 4 additional games against NYMets and loses 0.
  Philadelphia wins the series 9 games to 4

Philadelphia currently has 7 wins against Washington and 2 losses.
  Philadelphia wins 4 additional games against Washington and loses 0.
  Philadelphia wins the series 11 games to 2

Atlanta wins 31 games agains teams outside the division and loses 1.
Miami wins 9 games agains teams outside the division and loses 21.
NYMets wins 18 games agains teams outside the division and loses 14.
Philadelphia wins 30 games agains teams outside the division and loses 0.
Washington wins 12 games agains teams outside the division and loses 16.

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