First Round | Next Round | Final Round | Depth | Slices | How it works | Main Page

Round 1  Votes  106 25/60 (20%) Max Yosemite     150    (28.2%)  1 Redwood National Park     62    (11.7%)  1 Big Sur     50    (9.4%)  1 Kings Canyon     46    (8.6%)  1 Lake Tahoe     43    (8.1%)  1 Lost Coast     42    (7.9%)  1 Joshua Tree     37    (7.0%)  1 Death Valley     29    (5.5%)  1 Point Reyes     28    (5.3%)  1 Lava Beds     19    (3.6%)  1 Pinnacles     13    (2.4%)  1 Mount Shasta     13    (2.4%)  1           Results       Yosemite Elected               Transfers (to these colors):               Histograms  Surplus   New Max  Votes: Ballots   Yosemite 43 35/60 42/60 1: 139

Each ballot initially counts toward its highest-ranked eligible choice. However, in future rounds, a maximum fraction of a ballot may be imposed on a candidate. This allows voters for popular winners (or for eliminated losers) to help unelected candidates or candidates elected later. If there are no such candidates, the leftover fraction goes back to the first winner, or count toward "none of these" if there are no ranked winners.

The ballot fraction precision is equal to 1/Seats(Seats+1), which ensures that winners can always be kept between Enough votes to win, more than (Total Votes for Candidates)/(Seats+1), and the Ideal Number of votes, (Total Votes for Candidates)/Seats.
If all winners have at least "Enough" votes, it is impossible to elect too many candidates. This number is Ballots/(Seats+1) plus the smallest fraction.
If all winners have exactly the Ideal Number of votes, and they each have an equal voice, everyone who voted for a winner is equally represented.
The dotted line on the graph represents Enough votes.
The histogram shows how many ballots count a given fraction of a vote toward a winner. It is used to determine how much to lower the maximum. Ballots that cannot count for a lower-ranked candidate are not included in the histogram. The maximum is reduced in steps of the defined fractional precision, reducing the surplus by the number of ballots in the affected histogram bins divided by that precision. This process stops just before too many would be transferred. At this point, the affected bins are shown in red.
When only winners remain, they may reduce their maxima toward the Ideal Number.

Go to the next round

First Round | Next Round | Final Round | Previous Round | Depth | Slices | How it works | Main Page

Round 2  Votes  106 25/60 (20%) Max Yosemite     108 18/60  (20.4%)  42/60 Redwood National Park     71 36/60  (13.5%)  1 Big Sur     55 24/60  (10.4%)  1 Kings Canyon     52    (9.8%)  1 Lake Tahoe     48 42/60  (9.2%)  1 Lost Coast     42 36/60  (8.0%)  1 Joshua Tree     40 18/60  (7.6%)  1 Death Valley     32 18/60  (6.1%)  1 Point Reyes     30 42/60  (5.8%)  1 Lava Beds     21 6/60  (4.0%)  1 Pinnacles     13 54/60  (2.6%)  1 Mount Shasta     15 6/60  (2.8%)  1           Results       Pinnacles Defeated               Transfers (to these colors):

No elected candidates could reduce their maxima, so candidates were eliminated instead.
The last-place candidate is eliminated.
Go to the next round

First Round | Next Round | Final Round | Previous Round | Depth | Slices | How it works | Main Page

Round 3  Votes  106 13/60 (20%) Max Yosemite     110 24/60  (20.8%)  42/60 Redwood National Park     72 30/60  (13.7%)  1 Big Sur     57 24/60  (10.8%)  1 Kings Canyon     53    (10.0%)  1 Lake Tahoe     49    (9.2%)  1 Lost Coast     45 36/60  (8.6%)  1 Joshua Tree     40 36/60  (7.6%)  1 Death Valley     32 18/60  (6.1%)  1 Point Reyes     32 42/60  (6.2%)  1 Lava Beds     21 6/60  (4.0%)  1 Mount Shasta     16 24/60  (3.1%)  1 None of these     1                Results       Yosemite Equalized               Transfers (to these colors):               Histograms  Surplus   New Max  Votes: Ballots   Yosemite 4 11/60 41/60 42/60: 142

The histogram shows how many ballots count a given fraction of a vote toward a winner. It is used to determine how much to lower the maximum. Ballots that cannot count for a lower-ranked candidate are not included in the histogram. The maximum is reduced in steps of the defined fractional precision, reducing the surplus by the number of ballots in the affected histogram bins divided by that precision. This process stops just before too many would be transferred. At this point, the affected bins are shown in red.
When only winners remain, they may reduce their maxima toward the Ideal Number.

Go to the next round

First Round | Next Round | Final Round | Previous Round | Depth | Slices | How it works | Main Page

Round 4  Votes  106 13/60 (20%) Max Yosemite     108 2/60  (20.3%)  41/60 Redwood National Park     73 5/60  (13.8%)  1 Big Sur     57 42/60  (10.9%)  1 Kings Canyon     53 20/60  (10.0%)  1 Lake Tahoe     49 20/60  (9.3%)  1 Lost Coast     45 38/60  (8.6%)  1 Joshua Tree     40 48/60  (7.7%)  1 Death Valley     32 29/60  (6.1%)  1 Point Reyes     32 51/60  (6.2%)  1 Lava Beds     21 13/60  (4.0%)  1 Mount Shasta     16 32/60  (3.1%)  1 None of these     1                Results       Mount Shasta Defeated               Transfers (to these colors):

No elected candidates could reduce their maxima, so candidates were eliminated instead.
The last-place candidate is eliminated.
Go to the next round

First Round | Next Round | Final Round | Previous Round | Depth | Slices | How it works | Main Page

Round 5  Votes  106 13/60 (20%) Max Yosemite     110 5/60  (20.7%)  41/60 Redwood National Park     75 24/60  (14.2%)  1 Big Sur     58 42/60  (11.1%)  1 Kings Canyon     53 39/60  (10.1%)  1 Lake Tahoe     51 14/60  (9.6%)  1 Lost Coast     49 57/60  (9.4%)  1 Joshua Tree     40 48/60  (7.7%)  1 Death Valley     33 29/60  (6.3%)  1 Point Reyes     32 51/60  (6.2%)  1 Lava Beds     24 51/60  (4.7%)  1 None of these     1                Results       Yosemite Equalized               Transfers (to these colors):               Histograms  Surplus   New Max  Votes: Ballots   Yosemite 3 52/60 40/60 41/60: 145

The histogram shows how many ballots count a given fraction of a vote toward a winner. It is used to determine how much to lower the maximum. Ballots that cannot count for a lower-ranked candidate are not included in the histogram. The maximum is reduced in steps of the defined fractional precision, reducing the surplus by the number of ballots in the affected histogram bins divided by that precision. This process stops just before too many would be transferred. At this point, the affected bins are shown in red.
When only winners remain, they may reduce their maxima toward the Ideal Number.

Go to the next round

First Round | Next Round | Final Round | Previous Round | Depth | Slices | How it works | Main Page

Round 6  Votes  106 13/60 (20%) Max Yosemite     107 40/60  (20.3%)  40/60 Redwood National Park     76    (14.3%)  1 Big Sur     59    (11.1%)  1 Kings Canyon     54    (10.2%)  1 Lake Tahoe     51 40/60  (9.7%)  1 Lost Coast     50    (9.4%)  1 Joshua Tree     41    (7.7%)  1 Death Valley     33 40/60  (6.3%)  1 Point Reyes     33    (6.2%)  1 Lava Beds     25    (4.7%)  1 None of these     1                Results       Lava Beds Defeated               Transfers (to these colors):

No elected candidates could reduce their maxima, so candidates were eliminated instead.
The last-place candidate is eliminated.
Go to the next round

First Round | Next Round | Final Round | Previous Round | Depth | Slices | How it works | Main Page

Round 7  Votes  106 13/60 (20%) Max Yosemite     110    (20.7%)  40/60 Redwood National Park     79 40/60  (15.0%)  1 Big Sur     61 20/60  (11.6%)  1 Kings Canyon     57 20/60  (10.8%)  1 Lake Tahoe     51 40/60  (9.7%)  1 Lost Coast     53 20/60  (10.0%)  1 Joshua Tree     41    (7.7%)  1 Death Valley     39 40/60  (7.5%)  1 Point Reyes     37    (7.0%)  1 None of these     1                Results       Yosemite Equalized               Transfers (to these colors):               Histograms  Surplus   New Max  Votes: Ballots   Yosemite 3 47/60 39/60 40/60: 147

The histogram shows how many ballots count a given fraction of a vote toward a winner. It is used to determine how much to lower the maximum. Ballots that cannot count for a lower-ranked candidate are not included in the histogram. The maximum is reduced in steps of the defined fractional precision, reducing the surplus by the number of ballots in the affected histogram bins divided by that precision. This process stops just before too many would be transferred. At this point, the affected bins are shown in red.
When only winners remain, they may reduce their maxima toward the Ideal Number.

Go to the next round

First Round | Next Round | Final Round | Previous Round | Depth | Slices | How it works | Main Page

Round 8  Votes  106 13/60 (20%) Max Yosemite     107 33/60  (20.3%)  39/60 Redwood National Park     80 18/60  (15.1%)  1 Big Sur     61 42/60  (11.6%)  1 Kings Canyon     57 42/60  (10.9%)  1 Lake Tahoe     52 6/60  (9.8%)  1 Lost Coast     53 24/60  (10.1%)  1 Joshua Tree     41 12/60  (7.8%)  1 Death Valley     39 54/60  (7.5%)  1 Point Reyes     37 9/60  (7.0%)  1 None of these     1                Results       Point Reyes Defeated               Transfers (to these colors):

No elected candidates could reduce their maxima, so candidates were eliminated instead.
The last-place candidate is eliminated.
Go to the next round

First Round | Next Round | Final Round | Previous Round | Depth | Slices | How it works | Main Page

Round 9  Votes  105 25/60 (20%) Max Yosemite     111 27/60  (21.1%)  39/60 Redwood National Park     93 3/60  (17.7%)  1 Big Sur     68 6/60  (12.9%)  1 Kings Canyon     59 3/60  (11.2%)  1 Lake Tahoe     55 48/60  (10.6%)  1 Lost Coast     56 24/60  (10.7%)  1 Joshua Tree     41 33/60  (7.9%)  1 Death Valley     41 36/60  (7.9%)  1 None of these     5                Results       Yosemite Equalized               Transfers (to these colors):               Histograms  Surplus   New Max  Votes: Ballots   Yosemite 6 2/60 37/60 39/60: 153

The histogram shows how many ballots count a given fraction of a vote toward a winner. It is used to determine how much to lower the maximum. Ballots that cannot count for a lower-ranked candidate are not included in the histogram. The maximum is reduced in steps of the defined fractional precision, reducing the surplus by the number of ballots in the affected histogram bins divided by that precision. This process stops just before too many would be transferred. At this point, the affected bins are shown in red.
When only winners remain, they may reduce their maxima toward the Ideal Number.

Go to the next round

First Round | Next Round | Final Round | Previous Round | Depth | Slices | How it works | Main Page

Round 10  Votes  105 25/60 (20%) Max Yosemite     106 21/60  (20.2%)  37/60 Redwood National Park     94 29/60  (17.9%)  1 Big Sur     68 58/60  (13.1%)  1 Kings Canyon     59 49/60  (11.4%)  1 Lake Tahoe     56 44/60  (10.8%)  1 Lost Coast     56 32/60  (10.7%)  1 Joshua Tree     41 59/60  (8.0%)  1 Death Valley     42 8/60  (8.0%)  1 None of these     5                Results       Joshua Tree Defeated               Transfers (to these colors):

No elected candidates could reduce their maxima, so candidates were eliminated instead.
The last-place candidate is eliminated.
Go to the next round

First Round | Next Round | Final Round | Previous Round | Depth | Slices | How it works | Main Page

Round 11  Votes  105 1/60 (20%) Max Yosemite     108 58/60  (20.8%)  37/60 Redwood National Park     102 38/60  (19.5%)  1 Big Sur     76 7/60  (14.5%)  1 Kings Canyon     63 58/60  (12.2%)  1 Lake Tahoe     64 7/60  (12.2%)  1 Lost Coast     63 41/60  (12.1%)  1 Death Valley     45 31/60  (8.7%)  1 None of these     7                Results       Yosemite Equalized               Transfers (to these colors):               Histograms  Surplus   New Max  Votes: Ballots   Yosemite 3 57/60 36/60 37/60: 154

The histogram shows how many ballots count a given fraction of a vote toward a winner. It is used to determine how much to lower the maximum. Ballots that cannot count for a lower-ranked candidate are not included in the histogram. The maximum is reduced in steps of the defined fractional precision, reducing the surplus by the number of ballots in the affected histogram bins divided by that precision. This process stops just before too many would be transferred. At this point, the affected bins are shown in red.
When only winners remain, they may reduce their maxima toward the Ideal Number.

Go to the next round

First Round | Next Round | Final Round | Previous Round | Depth | Slices | How it works | Main Page

Round 12  Votes  105 1/60 (20%) Max Yosemite     106 24/60  (20.3%)  36/60 Redwood National Park     103 24/60  (19.7%)  1 Big Sur     76 36/60  (14.6%)  1 Kings Canyon     64 24/60  (12.3%)  1 Lake Tahoe     64 36/60  (12.3%)  1 Lost Coast     63 48/60  (12.2%)  1 Death Valley     45 48/60  (8.7%)  1 None of these     7                Results       Death Valley Defeated               Transfers (to these colors):

No elected candidates could reduce their maxima, so candidates were eliminated instead.
The last-place candidate is eliminated.
Go to the next round

First Round | Next Round | Final Round | Previous Round | Depth | Slices | How it works | Main Page

Round 13  Votes  104 37/60 (20%) Max Yosemite     114    (21.8%)  36/60 Redwood National Park     111 24/60  (21.3%)  1 Big Sur     81 48/60  (15.6%)  1 Kings Canyon     72    (13.8%)  1 Lake Tahoe     75 48/60  (14.5%)  1 Lost Coast     68    (13.0%)  1 None of these     9                Results       Yosemite Equalized     Redwood National Park Elected               Transfers (to these colors):     Transfers (from these colors):               Histograms  Surplus   New Max  Votes: Ballots   Yosemite 9 23/60 32/60 36/60: 165   Redwood National Park 6 47/60 53/60 1: 84 24/60: 45

The histogram shows how many ballots count a given fraction of a vote toward a winner. It is used to determine how much to lower the maximum. Ballots that cannot count for a lower-ranked candidate are not included in the histogram. The maximum is reduced in steps of the defined fractional precision, reducing the surplus by the number of ballots in the affected histogram bins divided by that precision. This process stops just before too many would be transferred. At this point, the affected bins are shown in red.
When only winners remain, they may reduce their maxima toward the Ideal Number.

Go to the next round

First Round | Next Round | Final Round | Previous Round | Depth | Slices | How it works | Main Page

Round 14  Votes  104 37/60 (20%) Max Yosemite     106 23/60  (20.3%)  32/60 Redwood National Park     105    (20.1%)  53/60 Big Sur     85 6/60  (16.3%)  1 Kings Canyon     76 41/60  (14.7%)  1 Lake Tahoe     80 7/60  (15.3%)  1 Lost Coast     69 43/60  (13.3%)  1 None of these     9                Results       Lost Coast Defeated               Transfers (to these colors):

No elected candidates could reduce their maxima, so candidates were eliminated instead.
The last-place candidate is eliminated.
Go to the next round

First Round | Next Round | Final Round | Previous Round | Depth | Slices | How it works | Main Page

Round 15  Votes  101 25/60 (20%) Max Yosemite     116 13/60  (22.9%)  32/60 Redwood National Park     120 14/60  (23.7%)  53/60 Big Sur     94 48/60  (18.7%)  1 Kings Canyon     83 54/60  (16.5%)  1 Lake Tahoe     91 51/60  (18.1%)  1 None of these     25                Results       Yosemite Equalized     Redwood National Park Equalized               Transfers (to these colors):     Transfers (from these colors):               Histograms  Surplus   New Max  Votes: Ballots   Yosemite 14 48/60 25/60 32/60: 168 7/60: 29   Redwood National Park 18 49/60 39/60 53/60: 94 28/60: 48

The histogram shows how many ballots count a given fraction of a vote toward a winner. It is used to determine how much to lower the maximum. Ballots that cannot count for a lower-ranked candidate are not included in the histogram. The maximum is reduced in steps of the defined fractional precision, reducing the surplus by the number of ballots in the affected histogram bins divided by that precision. This process stops just before too many would be transferred. At this point, the affected bins are shown in red.
When only winners remain, they may reduce their maxima toward the Ideal Number.

Go to the next round

First Round | Next Round | Final Round | Previous Round | Depth | Slices | How it works | Main Page

Round 16  Votes  101 25/60 (20%) Max Yosemite     103 51/60  (20.5%)  25/60 Redwood National Park     104 36/60  (20.6%)  39/60 Big Sur     101 27/60  (20.0%)  1 Kings Canyon     95 34/60  (18.8%)  1 Lake Tahoe     101 32/60  (20.0%)  1 None of these     25                Results       Lake Tahoe Elected     Big Sur Elected               Histograms  Surplus   New Max  Votes: Ballots   Lake Tahoe   7/60 1 1: 58 35/60: 37 21/60: 11   Big Sur   2/60 1 1: 71 35/60: 28 21/60: 7

The histogram shows how many ballots count a given fraction of a vote toward a winner. It is used to determine how much to lower the maximum. Ballots that cannot count for a lower-ranked candidate are not included in the histogram. The maximum is reduced in steps of the defined fractional precision, reducing the surplus by the number of ballots in the affected histogram bins divided by that precision. This process stops just before too many would be transferred. At this point, the affected bins are shown in red.
When only winners remain, they may reduce their maxima toward the Ideal Number.

There is a newly elected candidate whose maximum could not be reduced. The surplus is lower than the number of ballots in the first histogram bin (the ballots counting the largest fraction toward the candidate) times the smallest fraction, so they cannot all transfer that fraction without exceeding the surplus.
Go to the next round

First Round | Next Round | Final Round | Previous Round | Depth | Slices | How it works | Main Page

Round 17  Votes  101 25/60 (20%) Max Yosemite     103 51/60  (20.5%)  25/60 Redwood National Park     104 36/60  (20.6%)  39/60 Big Sur     101 27/60  (20.0%)  1 Kings Canyon     95 34/60  (18.8%)  1 Lake Tahoe     101 32/60  (20.0%)  1 None of these     25                Results       Kings Canyon Defeated               Transfers (to these colors):

No elected candidates could reduce their maxima, so candidates were eliminated instead.
The last-place candidate is eliminated.
Go to the next round

First Round | Next Round | Final Round | Previous Round | Depth | Slices | How it works | Main Page

Round 18  Votes  124 (25%) Max Yosemite     124 48/60  (25.2%)  25/60 Redwood National Park     138 25/60  (27.9%)  39/60 Big Sur     120 23/60  (24.3%)  1 Lake Tahoe     112 24/60  (22.7%)  1 None of these     36                Results       Redwood National Park Equalized     Yosemite Equalized     Big Sur Equalized               Transfers (to these colors):     Transfers (from these colors):               Histograms  Surplus   New Max  Votes: Ballots   Redwood National Park 14 25/60 33/60 39/60: 100 35/60: 70   Yosemite   48/60 24/60 25/60: 233   Big Sur     59/60 1: 70 36/60: 35 27/60: 10 3/60: 38

The histogram shows how many ballots count a given fraction of a vote toward a winner. It is used to determine how much to lower the maximum. Ballots that cannot count for a lower-ranked candidate are not included in the histogram. The maximum is reduced in steps of the defined fractional precision, reducing the surplus by the number of ballots in the affected histogram bins divided by that precision. This process stops just before too many would be transferred. At this point, the affected bins are shown in red.
When only winners remain, they may reduce their maxima toward the Ideal Number.

Only winners remain, so the dotted line is raised to the Ideal Number.
Go to the next round

First Round | Final Round | Previous Round | Depth | Slices | How it works | Main Page

Round 19  Votes  124 (25%) Max Yosemite     125 39/60  (25.3%)  24/60 Redwood National Park     126 40/60  (25.5%)  33/60 Big Sur     124 20/60  (25.1%)  59/60 Lake Tahoe     119 21/60  (24.1%)  1 None of these     36                Results         Lake Tahoe Elected     Yosemite Elected     Redwood National Park Elected     Big Sur Elected

No further maximum reductions are allowed, so the count is complete. All winners should be near the Ideal Number of votes. Usually most ballots count toward their highest-ranked winner. Some count for two winners, but rarely more than that. See the slice report. The depth report shows the contribution of lower choices to the result. The "none of these" pile is an accurate measure of unsatisfied voters.

First Round | Final Round | Depth | Slices | How it works | Main Page

Rank	Fraction of votes for winners
1st	40.6%
2nd	26.7%
3rd	15.4%
4th	8.0%
5th	4.3%
6th	2.9%
7th	1.5%
8th	0.4%

First Round | Final Round | Depth | Slices | How it works | Main Page

Slices	Percentage of ballots with that many slices
1	28.2%
2	48.2%
3	23.6%