app/soc/logic/allocations.py
author Sverre Rabbelier <srabbelier@gmail.com>
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#!/usr/bin/python2.5
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#
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# Copyright 2009 the Melange authors.
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#
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# Licensed under the Apache License, Version 2.0 (the "License");
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# you may not use this file except in compliance with the License.
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# You may obtain a copy of the License at
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#
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#   http://www.apache.org/licenses/LICENSE-2.0
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#
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# Unless required by applicable law or agreed to in writing, software
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# distributed under the License is distributed on an "AS IS" BASIS,
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# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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# See the License for the specific language governing permissions and
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# limitations under the License.
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"""Slot allocation logic.
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"""
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__authors__ = [
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  '"Sverre Rabbelier" <sverre@rabbelier.nl>',
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  ]
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import itertools
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import math
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class Error(Exception):
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  """Error class for the Allocation module.
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  """
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  pass
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class Allocator(object):
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  """A simple student slots allocator.
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  The buildSets method is used to validate the allocation data as well as
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  construct the sets that the algorithm then uses to distribute the slots.
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  By separating these steps it is possible to write a different allocation
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  algorithm but re-use the sets and validation logic.
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  """
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  # I tried to write explicit code that does not require any
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  # additional comments (with the exception of the set notation for
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  # the convenience of any mathematicians that happen to read this
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  # piece of code ;).
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  def __init__(self, orgs, applications, mentors, slots,
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               max_slots_per_org, min_slots_per_org, iterative):
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    """Initializes the allocator.
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    Args:
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      orgs: a list of all the orgs that need to be allocated
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      applications: a dictionary with for each org a list of applicants
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      mentors: the amount of assigned mentors per org
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      slots: the total amount of available slots
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      max_slots_per_org: how many slots an org should get at most
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      min_slots_per_org: how many slots an org should at least get
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    """
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    all_applications = []
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    for _, value in applications.iteritems():
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      all_applications += value
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    self.locked_slots = {}
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    self.adjusted_slots = {}
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    self.adjusted_orgs = []
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    self.locked_orgs = []
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    self.unlocked_applications = []
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    self.slots = slots
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    self.max_slots_per_org = max_slots_per_org
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    self.min_slots_per_org = min_slots_per_org
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    self.orgs = set(orgs)
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    self.applications = applications
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    self.mentors = mentors
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    self.all_applications = set(all_applications)
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    self.iterative = iterative
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  def allocate(self, locked_slots, adjusted_slots):
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    """Allocates the slots and returns the result.
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    Args:
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      locked_slots: a dict with orgs and the number of slots they get
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      adjusted_slots: a dict with orgs and the number of extra slots they get
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    """
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    self.locked_slots = locked_slots
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    self.adjusted_slots = adjusted_slots
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    self.buildSets()
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    if self.iterative:
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      return self.iterativeAllocation()
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    else:
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      return self.preprocessingAllocation()
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  def buildSets(self):
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    """Allocates slots with the specified constraints
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    """
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    # set s
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    all_applications = self.all_applications
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    locked_slots = self.locked_slots
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    adjusted_slots = self.adjusted_slots
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    # set a and b
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    locked_orgs = set(locked_slots.keys())
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    adjusted_orgs = set(adjusted_slots.keys())
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    # set a' and b'
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    unlocked_orgs = self.orgs.difference(locked_orgs)
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    # unadjusted_orgs = self.orgs.difference(adjusted_orgs)
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    # set a*b and a'*b'
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    locked_and_adjusted_orgs = locked_orgs.intersection(adjusted_orgs)
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    # unlocked_and_unadjusted_orgs = unlocked_orgs.intersection(unadjusted_orgs)
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    # a+o and b+o should be o
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    locked_orgs_or_orgs = self.orgs.union(locked_orgs)
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    adjusted_orgs_or_orgs = self.orgs.union(adjusted_orgs)
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    # an item can be only a or b, so a*b should be empty
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    if locked_and_adjusted_orgs:
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      raise Error("Cannot have an org locked and adjusted")
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    # a+o should be o, testing length is enough though
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    if len(locked_orgs_or_orgs) != len(self.orgs):
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      raise Error("Unknown org as locked slot")
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    # same for b+o
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    if len(adjusted_orgs_or_orgs) != len(self.orgs):
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      raise Error("Unknown org as adjusted slot")
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    # set l and l'
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    locked_applications = set(itertools.chain(*locked_slots.keys()))
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    unlocked_applications = all_applications.difference(locked_applications)
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    self.adjusted_orgs = adjusted_orgs
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    self.unlocked_orgs = unlocked_orgs
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    self.locked_orgs = locked_orgs
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    self.unlocked_applications = unlocked_applications
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    popularity = ((k, len(v)) for k, v in self.applications.iteritems())
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    self.popularity = dict(popularity)
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  def iterativeAllocation(self):
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    """A simple iterative algorithm.
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    """
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    adjusted_orgs = self.adjusted_orgs
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    adjusted_slots = self.adjusted_slots
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    locked_orgs = self.locked_orgs
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    locked_slots = self.locked_slots
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    unlocked_applications = self.unlocked_applications
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    unlocked_applications_count = len(unlocked_applications)
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    unallocated_applications_count = unlocked_applications_count
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    available_slots = self.slots
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    allocations = {}
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    for org in self.orgs:
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      org_applications = self.applications[org]
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      org_applications_count = len(org_applications)
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      mentors = self.mentors[org]
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      if org in locked_orgs:
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        slots = locked_slots[org]
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      else:
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        weight = float(org_applications_count) / unallocated_applications_count
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        slots = int(math.floor(weight*available_slots))
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      if org in adjusted_orgs:
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        slots += adjusted_slots[org]
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      slots = min(slots, self.max_slots_per_org)
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      slots = min(slots, mentors)
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      slots = min(slots, available_slots)
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      allocations[org] = slots
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      available_slots -= slots
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      unallocated_applications_count -= org_applications_count
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    return allocations
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  def preprocessingAllocation(self):
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    """An algorithm that pre-processes the input before running as normal.
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    """
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    adjusted_orgs = self.adjusted_orgs
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    adjusted_slots = self.adjusted_slots
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    locked_orgs = self.locked_orgs
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    locked_slots = self.locked_slots
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    unlocked_orgs = self.unlocked_orgs
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    unlocked_applications = self.unlocked_applications
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    total_popularity = sum(self.popularity.values())
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    available_slots = self.slots
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    allocations = {}
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    slack = {}
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    for org in locked_orgs:
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      popularity = self.popularity[org]
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      mentors = self.mentors[org]
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      slots = locked_slots[org]
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      slots = min(slots, mentors)
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      total_popularity -= popularity
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      available_slots -= slots
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      allocations[org] = slots
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    # adjust the orgs in need of adjusting
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    for org in adjusted_orgs:
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      slots = adjusted_slots[org]
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      adjustment = (float(total_popularity)/float(available_slots))*slots
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      adjustment = int(math.ceil(adjustment))
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      self.popularity[org] += adjustment
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    # adjust the popularity so that the invariants are always met
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    for org in unlocked_orgs:
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      popularity = self.popularity[org]
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      mentors = self.mentors[org]
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      slots = (float(popularity)/float(total_popularity))*available_slots
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      slots = min(slots, self.max_slots_per_org)
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      slots = max(slots, self.min_slots_per_org)
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      slots = min(slots, mentors)
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      popularity = (float(total_popularity)/float(available_slots))*slots
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      self.popularity[org] = popularity
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    # do the actual calculation
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    for org in unlocked_orgs:
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      org_applications = self.applications[org]
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      org_applications_count = len(org_applications)
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      popularity = self.popularity[org]
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      raw_slots = (float(popularity)/float(total_popularity))*available_slots
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      slots = int(math.floor(raw_slots))
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      slack[org] = raw_slots - slots
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      allocations[org] = slots
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    slots_left = available_slots - sum(allocations.values())
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    # add leftover slots, sorted by slack, decending
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    for org, slack in sorted(slack.iteritems(), key=lambda (k,v): v, reverse=True):
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      if slots_left < 1:
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        break
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      slots_left -= 1
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      allocations[org] += 1
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    return allocations