Facebook Hacker Cup 2012 – How to solve Alphabet Soup

Alphabet Soup was by far the easiest problem in the qualifiers. I am not talking implementation but about understanding the problem. In some cases the “problem designers” did a good job in confusing me for at least an hour by their style in description. In alphabet soup’s case the problem was formulated as follows:

Alfredo Spaghetti really likes soup, especially when it contains alphabet pasta. Every day he constructs a sentence from letters, places the letters into a bowl of broth and enjoys delicious alphabet soup.

Today, after constructing the sentence, Alfredo remembered that the Facebook Hacker Cup starts today! Thus, he decided to construct the phrase “HACKERCUP”. As he already added the letters to the broth, he is stuck with the letters he originally selected. Help Alfredo determine how many times he can place the word “HACKERCUP” side-by-side using the letters in his soup.

Input

The first line of the input file contains a single integer T: the number of test cases. T lines follow, each representing a single test case with a sequence of upper-case letters and spaces: the original sentence Alfredo constructed.

Output

Output T lines, one for each test case. For each case, output “Case #t: n”, where t is the test case number (starting from 1) and n is the number of times the word “HACKERCUP” can be placed side-by-side using the letters from the sentence.

Constraints

  • 1 < T ≤ 20
  • Sentences contain only the upper-case letters A-Z and the space character
  • Each sentence contains at least one letter, and contains at most 1000 characters, including spaces

To solve it, simply iterate through the characters in the string, counting how frequently each of them occurs.

Suppose count[X] is how many of character X are in the soup. Then the number of “HACKER CUP”s we can make is the minimum of count[X] for all letters other than C, and .5 times count[‘C’] as there are two Cs in “HACKER CUP”.

Here’s my solution in Python (including all the input parsing):


# facebook HackerCup 2012
# solution for Alphabet Soup
import operator
import sys

def parse_cases(filename):
    cases = open(filename).read().splitlines()
    cases.pop(0)
    return cases

def get_hackercups(sentence):
    #init
    hackercups = 10^9
    scores = {'C' : 0,
              'H' : 0,
              'A' : 0,
              'K' : 0,
              'E' : 0,
              'R' : 0,
              'U' : 0,
              'P' : 0,
              }
    #map characters
    for character in sentence.upper():
        if scores.has_key(character):
            scores[character] += 1 if character is not 'C' else 0.5
    #get minimum
    return int(min(scores.values()))

if __name__ == '__main__':
    cases = parse_cases(sys.argv[1])
    i = 0
    for case in cases:
        i +=1
        print 'Case #' + str(i) + ':' + str(get_hackercups(case))

Here’s  the reference solution in Python:

import sys
from collections import defaultdict
cases = sys.stdin.readlines()
for case in range(1, len(cases)):
    letters = defaultdict(int)
    for letter in cases[case]:
         letters[letter] += 1
    letters['C'] /= 2 # Account for the two 'C's
    words = min(letters[x] for x in "HACKERCUP")
    print("Case #{}: {}".format(case, words))

To try it yourself, I give you the input file you had to process within 6 minutes after downloading it:

20
PKCE U  KCH KABSFPU K VUHH  HE UTZK  EKEHE C ACWYBZ RCCNAKCHUUPVUCCXUKPHCA QIVA  VQCKPKUEPP RUAPPGAY CHTAHZ HEAQE KUHC K BRP I CCHHY QPCRU  CFUKR RCRBACMFPT  H CEC   HEGE CCKA KHN   T CCYKFCR TD QTUCAAPKODKZCRCGCKPRUZRZ YP EYD EBHC  YUC CCS  AGBAYGAE EKMU   IJC  F F  AA DKMRKCCCPPUUA RYHAETFGKUMMP X H MRJUHCC   TENHC EHPD K CELAXCOZLULREAD RR AUK   D HXP H  U BCGCOCA CACTPREGXK A URAZCCCJCPU  OE JUCYHKPR EKC  BI IUF K P LUUIEECEHPCOEUJES COPC CCGTA UHWB CHR  UUKRUUC FHK  P EETKP IHK  CVHT KCKCGAOCCCHZPXRKRSCHUCRKC AE CK  K WCAZKQCUKHPKHQYKHAEHHP LSAOCW QKXMHU J  BVPHCCYUEMRIK RECRA WERKEN BU JKFORC K  CW XPSE LCU C EV EC  P  NC KEKU P LK HCPXHK FCCCAUNMHEE KPI URC ZPPCEUWQ F AW AAPUERQFB E UHP CAVHPA MPJSYRPVT KUQD EU RIC IKECIRH HNEPDKKAECC UBAACCYCUKUWFNU TRYUKPKRQNJH  CUCCHTTACRCIKHNPYUCPB KRNJCHCA  JGRB Y ZK  PTAHYUYAC  KUCH EH UUKFP Q D O HCA C W CR ECUGCKUUCHHCSAC ACE EXTEBFCV URPCEKEHPRECKUAEUCEEEEPU AGASKEMPTB  TER E  R EAP  RKEGHKYL UH UEPCCU PEH KM KC EU GUBRI    JRLXJPHIHOHU
REAC PUCHK RECKHA PUC
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QUICK CUTE BROWN FOX JUMPS OVER THE LAZY DOG
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