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Example 11
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Input (election instance from Example 1):
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profile with 12 voters and 8 candidates:
 3 x {a, b},
 3 x {a, c},
 2 x {a, d},
 1 x {b, c, f},
 1 x {e},
 1 x {f},
 1 x {g}

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Method of Equal Shares (aka Rule X) with Phragmén phase
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Phase 1:

starting budget:
  (1/3, 1/3, 1/3, 1/3, 1/3, 1/3, 1/3, 1/3, 1/3, 1/3, 1/3, 1/3)

adding candidate number 1: a
 with maxmimum cost per voter q = 1/8
 remaining budget:
  (5/24, 5/24, 5/24, 5/24, 5/24, 5/24, 5/24, 5/24, 1/3, 1/3, 1/3, 1/3)

Phase 2 (seq-Phragmén):

starting loads (= budget spent):
  (-5/24, -5/24, -5/24, -5/24, -5/24, -5/24, -5/24, -5/24, -1/3, -1/3,
  -1/3, -1/3)

adding candidate number 2: b
 maximum load increased to 1/96
 load distribution:
  (1/96, 1/96, 1/96, -5/24, -5/24, -5/24, -5/24, -5/24, 1/96, -1/3,
  -1/3, -1/3)
 tie broken in favor of b,
 candidates {b, c} are tied
 (for any of those, the new maximum load would be 1/96).

adding candidate number 3: c
 maximum load increased to 37/384
 load distribution:
  (1/96, 1/96, 1/96, 37/384, 37/384, 37/384, -5/24, -5/24, 37/384,
  -1/3, -1/3, -1/3)

adding candidate number 4: d
 maximum load increased to 7/24
 load distribution:
  (1/96, 1/96, 1/96, 37/384, 37/384, 37/384, 7/24, 7/24, 37/384, -1/3,
  -1/3, -1/3)

1 winning committee:
 {a, b, c, d}

