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Round 1  Votes  413 9/72 (11.1%) Max Robert Roy     544    (14.6%)  1 Avanindar Avi Singh     386    (10.4%)  1 Arsen Ari Kalfayan     278    (7.5%)  1 Cindy Yu     214    (5.8%)  1 Eric Fox     202    (5.4%)  1 Kyle Keene     180    (4.8%)  1 Ami Vora     173    (4.7%)  1 Kale Jenks     169    (4.5%)  1 Andrew Wong     168    (4.5%)  1 Jonathon Leathers     158    (4.2%)  1 Behzad Farahbakhsh     151    (4.1%)  1 Devin Whitney     133    (3.6%)  1 Nadeah Vali     132    (3.6%)  1 Paul Ivanov     117    (3.1%)  1 Ann Marie Sanchez     104    (2.8%)  1 Justin Hourany     99    (2.7%)  1 Gemma Jimenez     97    (2.6%)  1 Kristen Birdsall     93    (2.5%)  1 Pedro Hernandez     91    (2.4%)  1 Teresa Kenny     68    (1.8%)  1 Kai Savaree-Ruess     57    (1.5%)  1 Chad Reverend VanSchoelandt     56    (1.5%)  1 Mohammad Yahya Rouhani     48    (1.3%)  1           Results       Robert Roy Elected               Transfers (to these colors):               Histograms  Surplus   New Max  Votes: Ballots   Robert Roy 130 63/72 55/72 1: 527

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

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Round 2  Votes  413 9/72 (11.1%) Max Robert Roy     419 41/72  (11.3%)  55/72 Avanindar Avi Singh     394 70/72  (10.6%)  1 Arsen Ari Kalfayan     281 22/72  (7.6%)  1 Cindy Yu     216 9/72  (5.8%)  1 Eric Fox     204 60/72  (5.5%)  1 Kyle Keene     181 13/72  (4.9%)  1 Ami Vora     174 30/72  (4.7%)  1 Kale Jenks     169 34/72  (4.6%)  1 Andrew Wong     169 30/72  (4.6%)  1 Jonathon Leathers     170 54/72  (4.6%)  1 Behzad Farahbakhsh     152 13/72  (4.1%)  1 Devin Whitney     133 34/72  (3.6%)  1 Nadeah Vali     134 9/72  (3.6%)  1 Paul Ivanov     131 63/72  (3.5%)  1 Ann Marie Sanchez     104 34/72  (2.8%)  1 Justin Hourany     100 47/72  (2.7%)  1 Gemma Jimenez     97 34/72  (2.6%)  1 Kristen Birdsall     112 60/72  (3.0%)  1 Pedro Hernandez     104 16/72  (2.8%)  1 Teresa Kenny     83 25/72  (2.2%)  1 Kai Savaree-Ruess     57    (1.5%)  1 Chad Reverend VanSchoelandt     71 59/72  (1.9%)  1 Mohammad Yahya Rouhani     52 35/72  (1.4%)  1           Results       Mohammad Yahya Rouhani Defeated               Transfers (to these colors):

No elected candidates could reduce their maxima, so candidates were eliminated instead.
The last-place candidate is eliminated.
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Round 3  Votes  412 65/72 (11.1%) Max Robert Roy     424 66/72  (11.4%)  55/72 Avanindar Avi Singh     395 70/72  (10.7%)  1 Arsen Ari Kalfayan     283 56/72  (7.6%)  1 Cindy Yu     219 9/72  (5.9%)  1 Eric Fox     204 60/72  (5.5%)  1 Kyle Keene     181 13/72  (4.9%)  1 Ami Vora     177 47/72  (4.8%)  1 Kale Jenks     170 34/72  (4.6%)  1 Andrew Wong     170 30/72  (4.6%)  1 Jonathon Leathers     171 71/72  (4.6%)  1 Behzad Farahbakhsh     156 13/72  (4.2%)  1 Devin Whitney     134 51/72  (3.6%)  1 Nadeah Vali     140 9/72  (3.8%)  1 Paul Ivanov     141 38/72  (3.8%)  1 Ann Marie Sanchez     104 34/72  (2.8%)  1 Justin Hourany     101 64/72  (2.7%)  1 Gemma Jimenez     97 34/72  (2.6%)  1 Kristen Birdsall     116 39/72  (3.1%)  1 Pedro Hernandez     107 29/72  (2.9%)  1 Teresa Kenny     85 4/72  (2.3%)  1 Kai Savaree-Ruess     57    (1.5%)  1 Chad Reverend VanSchoelandt     73 21/72  (2.0%)  1 None of these     2                Results       Robert Roy Equalized               Transfers (to these colors):               Histograms  Surplus   New Max  Votes: Ballots   Robert Roy 12 1/72 54/72 55/72: 534

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

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Round 4  Votes  412 65/72 (11.1%) Max Robert Roy     417 36/72  (11.2%)  54/72 Avanindar Avi Singh     396 36/72  (10.7%)  1 Arsen Ari Kalfayan     284    (7.6%)  1 Cindy Yu     219 18/72  (5.9%)  1 Eric Fox     205    (5.5%)  1 Kyle Keene     181 18/72  (4.9%)  1 Ami Vora     177 54/72  (4.8%)  1 Kale Jenks     170 36/72  (4.6%)  1 Andrew Wong     170 36/72  (4.6%)  1 Jonathon Leathers     172 54/72  (4.6%)  1 Behzad Farahbakhsh     156 18/72  (4.2%)  1 Devin Whitney     134 54/72  (3.6%)  1 Nadeah Vali     140 18/72  (3.8%)  1 Paul Ivanov     142 36/72  (3.8%)  1 Ann Marie Sanchez     104 36/72  (2.8%)  1 Justin Hourany     102    (2.7%)  1 Gemma Jimenez     97 36/72  (2.6%)  1 Kristen Birdsall     117 54/72  (3.2%)  1 Pedro Hernandez     108 18/72  (2.9%)  1 Teresa Kenny     86    (2.3%)  1 Kai Savaree-Ruess     57    (1.5%)  1 Chad Reverend VanSchoelandt     74 18/72  (2.0%)  1 None of these     2                Results       Kai Savaree-Ruess 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

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Round 5  Votes  412 1/72 (11.1%) Max Robert Roy     419 54/72  (11.3%)  54/72 Avanindar Avi Singh     405 36/72  (10.9%)  1 Arsen Ari Kalfayan     289    (7.8%)  1 Cindy Yu     223 18/72  (6.0%)  1 Eric Fox     206    (5.6%)  1 Kyle Keene     185 18/72  (5.0%)  1 Ami Vora     180    (4.9%)  1 Kale Jenks     178 54/72  (4.8%)  1 Andrew Wong     172 36/72  (4.7%)  1 Jonathon Leathers     172 54/72  (4.7%)  1 Behzad Farahbakhsh     157 18/72  (4.2%)  1 Devin Whitney     136 54/72  (3.7%)  1 Nadeah Vali     141 18/72  (3.8%)  1 Paul Ivanov     143 36/72  (3.9%)  1 Ann Marie Sanchez     104 36/72  (2.8%)  1 Justin Hourany     102    (2.8%)  1 Gemma Jimenez     99 36/72  (2.7%)  1 Kristen Birdsall     118 54/72  (3.2%)  1 Pedro Hernandez     109 18/72  (2.9%)  1 Teresa Kenny     87    (2.3%)  1 Chad Reverend VanSchoelandt     75 36/72  (2.0%)  1 None of these     10                Results       Robert Roy Equalized               Transfers (to these colors):               Histograms  Surplus   New Max  Votes: Ballots   Robert Roy 7 53/72 53/72 54/72: 537

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

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Round 6  Votes  412 1/72 (11.1%) Max Robert Roy     412 21/72  (11.1%)  53/72 Avanindar Avi Singh     406 2/72  (11.0%)  1 Arsen Ari Kalfayan     289 16/72  (7.8%)  1 Cindy Yu     223 27/72  (6.0%)  1 Eric Fox     206 12/72  (5.6%)  1 Kyle Keene     185 23/72  (5.0%)  1 Ami Vora     180 8/72  (4.9%)  1 Kale Jenks     178 57/72  (4.8%)  1 Andrew Wong     172 42/72  (4.7%)  1 Jonathon Leathers     173 37/72  (4.7%)  1 Behzad Farahbakhsh     157 23/72  (4.2%)  1 Devin Whitney     136 57/72  (3.7%)  1 Nadeah Vali     141 27/72  (3.8%)  1 Paul Ivanov     144 34/72  (3.9%)  1 Ann Marie Sanchez     104 38/72  (2.8%)  1 Justin Hourany     102 8/72  (2.8%)  1 Gemma Jimenez     99 38/72  (2.7%)  1 Kristen Birdsall     119 69/72  (3.2%)  1 Pedro Hernandez     110 7/72  (3.0%)  1 Teresa Kenny     87 68/72  (2.4%)  1 Chad Reverend VanSchoelandt     76 34/72  (2.1%)  1 None of these     10                Results       Chad Reverend VanSchoelandt 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

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Round 7  Votes  411 49/72 (11.1%) Max Robert Roy     423 28/72  (11.4%)  53/72 Avanindar Avi Singh     413 6/72  (11.1%)  1 Arsen Ari Kalfayan     291 54/72  (7.9%)  1 Cindy Yu     223 27/72  (6.0%)  1 Eric Fox     210 54/72  (5.7%)  1 Kyle Keene     185 61/72  (5.0%)  1 Ami Vora     181 27/72  (4.9%)  1 Kale Jenks     178 57/72  (4.8%)  1 Andrew Wong     174 61/72  (4.7%)  1 Jonathon Leathers     177 45/72  (4.8%)  1 Behzad Farahbakhsh     158 23/72  (4.3%)  1 Devin Whitney     138 23/72  (3.7%)  1 Nadeah Vali     141 46/72  (3.8%)  1 Paul Ivanov     151 23/72  (4.1%)  1 Ann Marie Sanchez     107 23/72  (2.9%)  1 Justin Hourany     102 46/72  (2.8%)  1 Gemma Jimenez     100 57/72  (2.7%)  1 Kristen Birdsall     128 28/72  (3.5%)  1 Pedro Hernandez     118 68/72  (3.2%)  1 Teresa Kenny     96 35/72  (2.6%)  1 None of these     13                Results       Avanindar Avi Singh Elected     Robert Roy Equalized               Transfers (to these colors):     Transfers (from these colors):               Histograms  Surplus   New Max  Votes: Ballots   Avanindar Avi Singh 1 29/72 1 1: 362 19/72: 40   Robert Roy 11 51/72 52/72 53/72: 548

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

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Round 8  Votes  411 49/72 (11.1%) Max Robert Roy     415 56/72  (11.2%)  52/72 Avanindar Avi Singh     413 48/72  (11.2%)  1 Arsen Ari Kalfayan     292    (7.9%)  1 Cindy Yu     223 36/72  (6.0%)  1 Eric Fox     211    (5.7%)  1 Kyle Keene     185 68/72  (5.0%)  1 Ami Vora     181 36/72  (4.9%)  1 Kale Jenks     178 60/72  (4.8%)  1 Andrew Wong     174 68/72  (4.7%)  1 Jonathon Leathers     178 36/72  (4.8%)  1 Behzad Farahbakhsh     158 28/72  (4.3%)  1 Devin Whitney     138 28/72  (3.7%)  1 Nadeah Vali     141 56/72  (3.8%)  1 Paul Ivanov     152 28/72  (4.1%)  1 Ann Marie Sanchez     107 28/72  (2.9%)  1 Justin Hourany     102 56/72  (2.8%)  1 Gemma Jimenez     100 60/72  (2.7%)  1 Kristen Birdsall     129 56/72  (3.5%)  1 Pedro Hernandez     119 64/72  (3.2%)  1 Teresa Kenny     97 52/72  (2.6%)  1 None of these     13                Results       Teresa Kenny 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

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Round 9  Votes  411 25/72 (11.1%) Max Robert Roy     426    (11.5%)  52/72 Avanindar Avi Singh     415 16/72  (11.2%)  1 Arsen Ari Kalfayan     299 8/72  (8.1%)  1 Cindy Yu     224 36/72  (6.1%)  1 Eric Fox     211 60/72  (5.7%)  1 Kyle Keene     188 16/72  (5.1%)  1 Ami Vora     186 4/72  (5.0%)  1 Kale Jenks     180 8/72  (4.9%)  1 Andrew Wong     176 68/72  (4.8%)  1 Jonathon Leathers     179 56/72  (4.9%)  1 Behzad Farahbakhsh     160 48/72  (4.3%)  1 Devin Whitney     140 48/72  (3.8%)  1 Nadeah Vali     144 56/72  (3.9%)  1 Paul Ivanov     166 32/72  (4.5%)  1 Ann Marie Sanchez     108 28/72  (2.9%)  1 Justin Hourany     103 4/72  (2.8%)  1 Gemma Jimenez     101 60/72  (2.8%)  1 Kristen Birdsall     156 44/72  (4.2%)  1 Pedro Hernandez     131 56/72  (3.6%)  1 None of these     16                Results       Robert Roy Equalized               Transfers (to these colors):               Histograms  Surplus   New Max  Votes: Ballots   Robert Roy 14 47/72 51/72 52/72: 558

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

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Round 10  Votes  411 25/72 (11.1%) Max Robert Roy     418 18/72  (11.3%)  51/72 Avanindar Avi Singh     415 60/72  (11.2%)  1 Arsen Ari Kalfayan     299 30/72  (8.1%)  1 Cindy Yu     224 45/72  (6.1%)  1 Eric Fox     212 9/72  (5.7%)  1 Kyle Keene     188 24/72  (5.1%)  1 Ami Vora     186 15/72  (5.0%)  1 Kale Jenks     180 12/72  (4.9%)  1 Andrew Wong     177 3/72  (4.8%)  1 Jonathon Leathers     180 48/72  (4.9%)  1 Behzad Farahbakhsh     160 54/72  (4.3%)  1 Devin Whitney     140 54/72  (3.8%)  1 Nadeah Vali     144 66/72  (3.9%)  1 Paul Ivanov     167 48/72  (4.5%)  1 Ann Marie Sanchez     108 33/72  (2.9%)  1 Justin Hourany     103 15/72  (2.8%)  1 Gemma Jimenez     101 63/72  (2.8%)  1 Kristen Birdsall     158 39/72  (4.3%)  1 Pedro Hernandez     133 12/72  (3.6%)  1 None of these     16                Results       Gemma Jimenez 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

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Round 11  Votes  411 1/72 (11.1%) Max Robert Roy     420 27/72  (11.4%)  51/72 Avanindar Avi Singh     424 9/72  (11.5%)  1 Arsen Ari Kalfayan     300 30/72  (8.1%)  1 Cindy Yu     226 45/72  (6.1%)  1 Eric Fox     213 9/72  (5.8%)  1 Kyle Keene     192 24/72  (5.2%)  1 Ami Vora     187 15/72  (5.1%)  1 Kale Jenks     180 12/72  (4.9%)  1 Andrew Wong     183 3/72  (4.9%)  1 Jonathon Leathers     181 48/72  (4.9%)  1 Behzad Farahbakhsh     161 54/72  (4.4%)  1 Devin Whitney     147 3/72  (4.0%)  1 Nadeah Vali     161 66/72  (4.4%)  1 Paul Ivanov     168 48/72  (4.6%)  1 Ann Marie Sanchez     146 54/72  (4.0%)  1 Justin Hourany     107 15/72  (2.9%)  1 Kristen Birdsall     158 39/72  (4.3%)  1 Pedro Hernandez     138 3/72  (3.7%)  1 None of these     19                Results       Robert Roy Equalized     Avanindar Avi Singh Equalized               Transfers (to these colors):     Transfers (from these colors):               Histograms  Surplus   New Max  Votes: Ballots   Robert Roy 9 26/72 50/72 51/72: 561   Avanindar Avi Singh 13 8/72 70/72 1: 369 21/72: 43

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

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Round 12  Votes  411 1/72 (11.1%) Max Robert Roy     414 30/72  (11.2%)  50/72 Avanindar Avi Singh     414 36/72  (11.2%)  70/72 Arsen Ari Kalfayan     301 34/72  (8.2%)  1 Cindy Yu     226 62/72  (6.1%)  1 Eric Fox     214 8/72  (5.8%)  1 Kyle Keene     193    (5.2%)  1 Ami Vora     188 6/72  (5.1%)  1 Kale Jenks     180 46/72  (4.9%)  1 Andrew Wong     183 32/72  (5.0%)  1 Jonathon Leathers     183 40/72  (5.0%)  1 Behzad Farahbakhsh     162 32/72  (4.4%)  1 Devin Whitney     147 54/72  (4.0%)  1 Nadeah Vali     162 48/72  (4.4%)  1 Paul Ivanov     170 28/72  (4.6%)  1 Ann Marie Sanchez     147 4/72  (4.0%)  1 Justin Hourany     107 50/72  (2.9%)  1 Kristen Birdsall     160 60/72  (4.3%)  1 Pedro Hernandez     140 6/72  (3.8%)  1 None of these     19                Results       Justin Hourany 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

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Round 13  Votes  409 9/72 (11.1%) Max Robert Roy     421 52/72  (11.5%)  50/72 Avanindar Avi Singh     420 2/72  (11.4%)  70/72 Arsen Ari Kalfayan     307 58/72  (8.4%)  1 Cindy Yu     231 14/72  (6.3%)  1 Eric Fox     216 12/72  (5.9%)  1 Kyle Keene     198 46/72  (5.4%)  1 Ami Vora     192 6/72  (5.2%)  1 Kale Jenks     182 48/72  (5.0%)  1 Andrew Wong     189 34/72  (5.1%)  1 Jonathon Leathers     189 12/72  (5.1%)  1 Behzad Farahbakhsh     164 32/72  (4.5%)  1 Devin Whitney     157    (4.3%)  1 Nadeah Vali     172 2/72  (4.7%)  1 Paul Ivanov     175 52/72  (4.8%)  1 Ann Marie Sanchez     155 4/72  (4.2%)  1 Kristen Birdsall     164 4/72  (4.5%)  1 Pedro Hernandez     144 54/72  (3.9%)  1 None of these     36                Results       Robert Roy Equalized     Avanindar Avi Singh Equalized               Transfers (to these colors):     Transfers (from these colors):               Histograms  Surplus   New Max  Votes: Ballots   Robert Roy 12 43/72 49/72 50/72: 570 2/72: 62   Avanindar Avi Singh 10 65/72 68/72 70/72: 372 22/72: 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