code: def AppMoVCopeland(profile, alpha=0.5):
      
  
      # Currently, we expect the profile to contain complete ordering over candidates.
      elecType = profile.getElecType()
      if elecType != "soc" and elecType != "toc":
          print("ERROR: unsupported profile type")
          exit()
  
      # Initialization
      n = profile.numVoters
      m = profile.numCands
  
      # Compute the original winner d
      # Initialize each Copeland score as 0.0.
      copelandscores = {}
      for cand in profile.candMap.keys():
          copelandscores[cand] = 0.0
  
      # For each pair of candidates, calculate the number of votes in which one beat the other.
      wmgMap = profile.getWmg()
      for cand1, cand2 in itertools.combinations(wmgMap.keys(), 2):
          if cand2 in wmgMap[cand1].keys():
              if wmgMap[cand1][cand2] > 0:
                  copelandscores[cand1] += 1.0
              elif wmgMap[cand1][cand2] < 0:
                  copelandscores[cand2] += 1.0
  
              # If a pair of candidates is tied, we add alpha to their score for each vote.
              else:
                  copelandscores[cand1] += alpha
                  copelandscores[cand2] += alpha
      d = max(copelandscores.items(), key=lambda x: x[1])[0]
  
      #Compute c* = argmin_c RM(d,c)
      relative_margin = {}
      alter_without_d = delete(range(1, m + 1), d - 1)
      for c in alter_without_d:
          relative_margin[c] = RM(wmgMap, n, m, d, c, alpha)
      c_star = min(relative_margin.items(), key=lambda x: x[1])[0]
  
      return relative_margin[c_star]*(math.ceil(log(m)) + 1)
docs: Returns an integer that is equal to the margin of victory of the election profile, that is,
      the smallest number k such that changing k votes can change the winners.
  
      :ivar Profile profile: A Profile object that represents an election profile.