San Francisco Giants First-Place Clinch Scenario

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

If San Francisco 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 San Francisco wins 128 of their remaining 131 games and loses the other 3.
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 San Francisco' column gives the
minimum number of games that each team will lose to San Francisco if San Francisco wins 128 more games. Assuming that a team wins all of its remaining games except for
the games it loses to SanFrancisco, the resulting maximum number of wins is shown in the 'Maximum W' column.

Team             W	L	GL	Losses to San Francisco	Maximum W
Los Angeles      20	13	129	      10 - 3 = 7	142 *See tie-breaking notes below.
San Diego        16	18	128	       6 - 3 = 3	141
Arizona          14	18	130	       9 - 3 = 6	138
Colorado         7	23	132	     13 - 3 = 10	129

Tie-breakers:
San Francisco has won 0 game(s) against Los Angeles and lost 3.
There are 10 games left in the series.
In the scenario above, San Francisco wins 0 + 7 = 7 games against Los Angeles and loses 3 + 3 = 6.

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

To see that San Francisco's first-place clinch number cannot be less than 128, consider the following scenario in which San Francisco 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
San Francisco    141	21	0.870	1.00
San Diego        130	32	0.802	12.00
Arizona          58	104	0.358	84.00
Colorado         35	127	0.216	107.00

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

Los Angeles currently has 2 wins against Arizona and 1 losses.
  Los Angeles wins 10 additional games against Arizona and loses 0.
  Los Angeles wins the series 12 games to 1

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

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

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

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

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

San Francisco currently has 0 wins against Los Angeles and 3 losses.
  San Francisco wins 7 additional games against Los Angeles and loses 3.
  San Francisco wins the series 7 games to 6

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 38 games agains teams outside the division and loses 54.
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 92 games agains teams outside the division and loses 0.
San Francisco wins 92 games agains teams outside the division and loses 1.

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