Example #1
0
        ans.add(x)
        x=x%tensPow(l)
        l-=1
    return ans

def tensPow(x):
    ans=1
    for i in range(x):
        ans*=10
    return ans

print rTrunks(1234)
print lTrunks(1234,3)


pSet=p.smartPrimesUnder(1000000)
c=0
s=0
for x in pSet:
    r=rTrunks(x)
    l=len(r)
    if r.issubset(pSet) and  lTrunks(x,l-1).issubset(pSet):
        print x
        c+=1
        print c
        s+=x
        if c==15:
            break

print s
Example #2
0
import sys
sys.path.append("..")
import prime as p
import math
#digSet=set([1,2,3,4,5,6,7,8,9])
#digList=[1,2,3,4,5,6,7,8,9]

relevantPrimes=p.smartPrimesUnder(31427)
relevantPrimes=list(relevantPrimes)
relevantPrimes.sort()

##def getNextNPand(curPands):
##    rtnVal=[]
##    curLen=
##    for n in curPands:
##        news=buildOn(n)
##        rtnVal.extend(news)
##    return rtnVal
##
##def buildOn(n,x):
##    toAdd=len(
##    n*=10
##    rtnVal=[]
##    nums=numSet(n)
##    toAdd=digSet - nums
##    for x in toAdd:
##        cur = n+x
##        rtnVal.append(cur)
##    return rtnVal
##
##def numSet(x):
Example #3
0
##If I later examine the number [1,2,9,4,9,6] where indices [2,4] are varaible,
##I would also be examining the class [1,2,*,4,*,6].  SO, if i were smart,
##I would recognize that the pair ([1,2,4,6],[2,4]) was already used,
##and not bother computing with it.


import sys
sys.path.append("..")
import math as m
import prime as p
import itertools as i
import time


#assume answer < 1000000
primes=p.smartPrimesUnder(1000000)
print "primes calculated.  starting cool stuff"


class NumChangeEquivalenceClass:
    """
    (equivalence)CLASS definition:

    EXAMPLE:
    For the class [1,2,*,4,*,6], we will have:
    var_indices=[2,4]
    and digit_list=[1,2,-1,4,-1,6].
    elements is everything in {1,2,*,4,*,6]
    """

Example #4
0
##The heuristic for finding this first string is as follows:
##take the longest list of consecutive primes summing to less than P.
##L=[2,3,5,7...73].
##Now, until L has length 0, we will do the following process:
##1:  append the next prime to L,
##2:  remove a bunch of primes from the beginning of L until sum(L)<=P
##3:  if sum(L)=P: win,
##     else: repeat


import sys
sys.path.append("..")
import prime as p

primesUnderMil=list(p.smartPrimesUnder(1000000))
primesUnderMil.sort()
print "has finished computing primes under million.  now doing cool work"



def getMaxConsecutiveSummands(sortedSummands,
                              x,
                              sumOfFirstNSummands,
                              curMaxConsecPrimes):
    #This function calculats the maximum number consecutive summands
    #in sortedSummands, which sum to x.
    #Arg sumOfFirstNSummands is a tuple representing the sum of some consecutive
    #summands summing to less than "x"
    #Arg curMaxConsecPrimes represents the current "best" answer to the problem.