pdpl.py

from itertools import combinations 

with open("rosalind_pdpl.txt","rU") as f:
    line=f.readline().strip()
#line='2 2 3 3 4 5 6 7 8 10'    
nums=sorted(map(int,line.split()),reverse=True)

def trial_insert(breaks,differences,N):
    for i in differences:
        answer=True
        for j in breaks:
            if abs(j-i) not in differences:
                answer=False
                break
        if answer: return i
    return None
    
 
breaks=[0,nums[0]]
differences=nums[1:]
N=nums[0]
j=0
while len(differences)>0:
    j=trial_insert(breaks,differences,N)
    print j,len(differences)
    if j:
        for i in breaks:
            s=differences.index(abs(j-i))
            del differences[s]
        breaks.append(j)
        breaks=sorted(breaks,reverse=True)
    
                
for x in breaks:
    print x,