Arizona Diamondbacks First-Place Clinch Scenario

Arizona's traditional magic number (relative to first-place Los Angeles) is 20 + 129 - 14 + 1 = 136.
Arizona's first-place clinch number is 128.
Arizona must win 128 more games (142 total) to clinch first place.

If Arizona wins 128 more games, their final win total will be at least 142.
The table below shows the best case scenario for each of the other teams if Arizona wins 128 of their remaining 130 games and loses the other 2.
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 Arizona' column gives the
minimum number of games that each team will lose to Arizona if Arizona wins 128 more games. Assuming that a team wins all of its remaining games except for
the games it loses to Arizona, the resulting maximum number of wins is shown in the 'Maximum W' column.

Team             W	L	GL	Losses to Arizona	Maximum W
Los Angeles      20	13	129	      10 - 2 = 8	141
San Francisco    14	17	131	       9 - 2 = 7	138
Colorado         7	23	132	       6 - 2 = 4	135
San Diego        16	18	128	     13 - 2 = 11	133

The table above shows that if Arizona wins 128 more games (142 total), then they will finish the season in first place in the division.

To see that Arizona's first-place clinch number cannot be less than 128, consider the following scenario in which Arizona wins 127 more games (141 total) but does not finish in first place:

Team             W	L	PCT	GB
Los Angeles      142	20	0.877	0.00
Arizona          141	21	0.870	1.00
San Diego        54	108	0.333	88.00
San Francisco    53	109	0.327	89.00
Colorado         47	115	0.290	95.00

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Los Angeles      20	13	129	0.606	0.0
San Diego        16	18	128	0.471	4.5
San Francisco    14	17	131	0.452	5.0
Arizona          14	18	130	0.438	5.5
Colorado         7	23	132	0.233	11.5

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


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

Arizona currently has 1 wins against Los Angeles and 2 losses.
  Arizona wins 7 additional games against Los Angeles and loses 3.
  Arizona wins the series 8 games to 5

Arizona currently has 0 wins against San Diego and 0 losses.
  Arizona wins 13 additional games against San Diego and loses 0.
  Arizona wins the series 13 games to 0

Arizona currently has 2 wins against San Francisco and 2 losses.
  Arizona wins 9 additional games against San Francisco and loses 0.
  Arizona wins the series 11 games to 2

Colorado currently has 0 wins against San Francisco and 0 losses.
  Colorado wins 10 additional games against San Francisco and loses 3.
  Colorado wins the series 10 games to 3

Los Angeles currently has 0 wins against Colorado and 0 losses.
  Los Angeles wins 13 additional games against Colorado and loses 0.
  Los Angeles wins the series 13 games to 0

Los Angeles currently has 2 wins against San Diego and 3 losses.
  Los Angeles wins 8 additional games against San Diego and loses 0.
  Los Angeles wins the series 10 games to 3

Los Angeles currently has 3 wins against San Francisco and 0 losses.
  Los Angeles wins 10 additional games against San Francisco and loses 0.
  Los Angeles wins the series 13 games to 0

San Diego currently has 2 wins against Colorado and 2 losses.
  San Diego wins 7 additional games against Colorado and loses 2.
  San Diego wins the series 9 games to 4

San Francisco currently has 4 wins against San Diego and 3 losses.
  San Francisco wins 6 additional games against San Diego and loses 0.
  San Francisco wins the series 10 games to 3

Arizona wins 92 games agains teams outside the division and loses 0.
Colorado wins 28 games agains teams outside the division and loses 63.
Los Angeles wins 88 games agains teams outside the division and loses 0.
San Diego wins 31 games agains teams outside the division and loses 61.
San Francisco wins 30 games agains teams outside the division and loses 63.

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