My Word can beat up your Word

Question

PROBLEM

Given two words, find the winner in a digital root battle.

Define the digital root of a word this way:

1. Each letter of the alphabet is assigned a number: A = 1, B = 2, C = 3, ..., Z = 26
2. Add the values for each letter to total the word. Take "CAT", for example. C+A+T = 3+1+20 = 24
3. Add all the single digits that make up that result: 24 => 2 + 4 = 6
4. Repeat step #3 until you reach a single digit. That single digit is the digital root of the word.

Rules:

1. A winner is declared if its digital root is larger than the other.
2. If the digital root values are equal, shorten the words by removing every instance of the highest value letter from both words and recalculating.
3. Repeat steps #1 and #2 until there is a winner or one of the words has only a single letter (or no letters) remaining.
4. If the digital root values are equal after going through the shortening process, the longer word is declared the winner.
5. If the words are of equal length and no winner is found after going through the shortening process, no winner is declared.

Special rules:

1. No use of modulus is allowed in the calculation of the digital root itself. It can be used anywhere else.
2. Assume words will consist only of uppercase letters - no punctuation, no spaces, etc.

INPUT

Pull the words in through stdin (comma-separated). method parameters, or however you want. Make it clear in your solution or the code how the words are parsed or prepared.

OUTPUT

Display the winning word. If there is no winner, display "STALEMATE".

Examples:

intput: CAN,BAT

CAN = 18 = 9
BAT = 23 = 5 

output: CAN

intput: ZOO,NO

ZOO = 56 = 11 = 2
NO = 29 = 11 = 2

OO = 30 = 3
N = 14 = 5

output: NO

UPDATE: Input must be read using stdin with the words as a comma-separated string.

UPDATE: Added a couple examples to test against.

UPDATE: clarified the removal of the highest valued letter in the case of a tie - this also alters slightly the stop condition as well - if a word is one letter or zero letters long, the shortening process is stopped

Answer 1

J, 100

z=:"."0@":@(+/)^:9@(64-~a.i.])@(#~' '&i.)"1
f=:*@-/"2@(z@((]#~]i.~{.@\:~)"1^:([:=/z))){'STALEMATE'&,

runs like this:

f 'NO',:'ZOO'
NO       
f 'CAN',:'BAT'
CAN      
f 'FAT',:'BANANA'
FAT      
f 'ONE',:'ONE'
STALEMATE

it doesn't yet accept input exactly as asked.

Answer 2

Ruby - 210

d,e=(a,b=$<.read.chop.split(/,/)).map{|w|w.bytes.sort}
r=->w,o=65{n=0;w.map{|c|n+=c-o};n>9?r[n.to_s.bytes,48]:n}
d.pop&e.pop while r[d]==r[e]&&d[1]&&e[1]
$><<[[:STALEMATE,a,b][a.size<=>b.size],a,b][r[d]<=>r[e]]

Tests:

$ ruby1.9 1128.rb <<< CAN,BAT
CAN

$ ruby1.9 1128.rb <<< ZOO,NO
NO

$ ruby1.9 1128.rb <<< ZOO,ZOO
STALEMATE

Answer 3

Haskell, 205 characters

import List
s b=d.sum.map((-b+).fromEnum)
d q|q<10=q|1<3=s 48$show q
f=map(s 64.concat).tails.group.reverse.sort
w(a,_:b)=f a#f b where x#y|x<y=b|x>y=a|1<3="STALEMATE"
main=getLine>>=putStrLn.w.span(/=',')

Sample runs:

> ghc --make WordVsWord.hs 
[1 of 1] Compiling Main             ( WordVsWord.hs, WordVsWord.o )
Linking WordVsWord ...

> ./WordVsWord <<< CAN,BAT
CAN

> ./WordVsWord <<< ZOO,NO
NO

> ./WordVsWord <<< FAT,BANANA
FAT

> ./WordVsWord <<< ONE,ONE
STALEMATE

---

• Edit: (227 -> 219) better picking of winner, shortened pattern match in w, imported older, shorter module
• Edit: (219 -> 208) Incorporate JB's suggestions
• Edit: (208 -> 205) handle negative numbers, exploiting odd rules in Haskell about hyphen

Answer 4

Perl, 224 225 229

Basic golfing (nothing smart yet):

split",",<>;$_=[sort map-64+ord,/./g]for@a=@_;{for(@b=@a
){while($#$_){$s=0;$s+=$_ for@$_;$_=[$s=~/./g]}}($a,$b)=
map$$_[0],@b;if($a==$b){pop@$_ for@a;@{$a[1]}*@{$a[0]}&&
redo}}say+("STALEMATE",@_)[$a<=>$b||@{$a[0]}<=>@{$a[1]}]

Perl 5.10 and above, run with perl -M5.010 <file> or perl -E '<code here>'

$ perl -M5.010 word.pl <<<CAN,BAT
CAN
$ perl -M5.010 word.pl <<<ZOO,NO
NO

$ perl -M5.010 word.pl <<<NO,ON
STALEMATE

Answer 5

APL (Dyalog) (91 86)

⎕ML←3⋄{Z≡∪Z←{2>⍴⍕⍵:⍵⋄∇+/⍎¨⍕⍵}¨+/¨⎕A∘⍳¨⍵:G[↑⍒Z]⋄1∊↑¨⍴¨⍵:'STALEMATE'⋄∇1∘↓¨⍵}G←Z⊂⍨','≠Z←⍞

Explanation (in order of execution):

• ⎕ML←3: set ML to 3 (this makes ⊂ mean partition, among other things).
• G←Z⊂⍨','≠Z←⍞: read input, separate by commas, store in G and pass to the function.
• +/¨⎕A∘⍳¨⍵: calculate the score for each word. (⎕A is a list containing the alphabet.)
• Z←{2>⍴⍕⍵:⍵⋄∇+/⍎¨⍕⍵}¨: calculate the digital root for each score (by summing all digits as long as there is still more than one digit) and store them in Z.
• Z≡∪Z: if all scores are unique...
• :G[↑⍒Z]: ...then output the word with the highest score (from the original list).
• ⋄1∊↑¨⍴¨⍵:'STALEMATE': otherwise (if there's a tie), if one of the words is of length 1, output STALEMATE.
• ⋄∇1∘↓¨⍵: otherwise, take the first letter off each word and run the function again.

Answer 6

K, 106

{a::x;@[{$[(>). m:{+/"I"$'$+/@[;x].Q.A!1+!26}'x;a 0;(<). m;a 1;.z.s 1_'x@'>:'x]};x;"STALEMATE"]}[","\:0:0]

Uses exception handling to catch stack errors, which result in cases of stalemate.

Answer 7

D: 326 Characters

import std.algorithm,std.array,std.conv,std.stdio;void main(string[]a){alias reduce r;auto b=array(splitter(a[1],","));auto s=map!((a){int n=r!"a+b"(map!"cast(int)(a-'A')+1"(a));while(n>9)n=r!"a+b"(map!"cast(int)(a-'0')"(to!string(n)));return n;})(b);int v=r!"a>b?a:b"(s);writeln(count(s,v)>1?"STALEMATE":b[countUntil(s,v)]);}

More Legibly:

import std.algorithm, std.array, std.conv, std.stdio;

void main(string[] a)
{
    alias reduce r;

    auto b = array(splitter(a[1], ","));
    auto s = map!((a){int n = r!"a + b"(map!"cast(int)(a - 'A') + 1"(a));

                      while(n > 9)
                          n = r!"a+b"(map!"cast(int)(a - '0')"(to!string(n)));

                      return n;
                     })(b);
    int v = r!"a > b ? a : b"(s);

    writeln(count(s, v) > 1 ? "STALEMATE" : b[countUntil(s, v)]);
}

Answer 8

JAVA

    public static void main(String args[]) throws Exception{
        String input=(new BufferedReader(new InputStreamReader(System.in)).readLine());
        StringTokenizer st = new StringTokenizer(input, ",");
        String w1 = st.nextToken();String w2 = st.nextToken();int s1=0;int s2=0;
        String flag="";
        do{ Integer sum1=0;Integer sum2=0;
        for (int i=0;i<w1.length();i++)
            sum1+=((int)w1.charAt(i) - 64);
        for (int i=0;i<w2.length();i++)
            sum2+=((int)w2.charAt(i) - 64);
        while (sum1.toString().length()>1){
            s1=0;
            for (int i=0;i<sum1.toString().length();i++)
                s1+=((int)sum1.toString().charAt(i)-48);
            sum1=s1;
        }
        while (sum2.toString().length()>1){
            s2=0;
            for (int i=0;i<sum2.toString().length();i++)
                s2+=((int)sum2.toString().charAt(i)-48);
            sum2 =s2;
        }
        flag=(s1>s2)?w1:(s1!=s2)?w2:"";
        if (flag!="")
            {st = new StringTokenizer(input,",");
                if (s1>s2)
                    System.out.println(st.nextToken());  
                else{
                    st.nextToken();
                    System.out.println(st.nextToken());
                }
            }
        int max=0;
        for (int i=0;i<w1.length();i++){
            max=((int)w1.charAt(i)>max)?(int)w1.charAt(i):max;
        }
        w1 = w1.replace((char)max, (char)64);
        max=0;
        for (int i=0;i<w2.length();i++){
            max=((int)w2.charAt(i)>max)?(int)w2.charAt(i):max;
        }
        w2 = w2.replace((char)max, (char)64);
            }while(flag=="" && !w1.equals(w2)); 
    if (flag.length()<1)
        System.out.println("STALEMATE");
        }

Answer 9

Mathematica

Some details still missing

a = {"ZOO"}; b = {"NO"}
f = FixedPoint[IntegerDigits@Total@# &, #] &

If[(s = f /@ 
        NestWhile[(# /. Max@# -> 0 &) /@ # &, (ToCharacterCode @@ # - 64) & /@ #, 
        f[#[[1]]] == f[#[[2]]] &, 1, 5] &@{a, b})[[1, 1]] > s[[2, 1]], 
   a, b, "STALMATE"]  

{"NO"}

Answer 10

Mathematica 220 207

After writing this, I noticed that this follows the same reasoning that Belisarius used,

h@u_ := ToCharacterCode@u - 64;
m@w_ := FromCharacterCode[Most@Sort@h@w + 64];
f@v_ := FixedPoint[Tr@IntegerDigits@# &, Tr@h@v];
x_~g~y_ := If[f@x == f@y, g[m@x, m@y], If[f@x > f@y, 1, 2]];
x_~z~x_ := "STALEMATE";
x_~z~y_ := {x, y}[[x~g~y]] 

Usage

z["ZOO", "NO"]
z["CAN", "BAT"]
z["FAT", "BANANA"]
z["ONE", "ONE"]

Because the response is not competitive (being so long-winded), I decided to use an input format more congenial to Mathematica.

Answer 11

VBA (242 462)

Function s(q,Optional l=0)
s=-1:t=Split(q,","):r=t:m=t
For j=0 To 1
m(j)=0:w=t(j)
While Len(w)>1 Or Not IsNumeric(w)
b=0
For i=1 To Len(w)
a=Mid(w,i,1):a=IIf(IsNumeric(a),a,Asc(a)-64):b=b+a
If m(j)+0<a+0 Then m(j)=a
Next
w=b
Wend
r(j)=b
Next
s=IIf(r(0)>r(1),0,IIf(r(0)<r(1),1,s))
For j=0 To 1
r(j)=Replace(t(j),Chr(m(j)+64),"",,1)
Next
If s<0 And Len(t(0))+Len(t(1))>2 Then s=s(r(0) & "," & r(1),1)
If l=0 Then If s>=0 Then s=t(s) Else s="STALEMATE"
End Function

Turns out the below code didn't match the spec, so I had to re-work, adding much length (see above). :-/ This may be able to be golfed further, but it's already pretty compact and I doubt I'll be able to bring it back down to a competitive score.

The original (below) did not remove the highest-valued letter from the words when there was a tie.

Sub s(q)
t=Split(q,",")
r=t
For j=0 To 1
w=t(j):b=0
For i=1 To Len(w)
b=b+Asc(Mid(w,i,1))-64
Next
While Len(b)>1
d=0
For i=1 To Len(b)
d=d+Mid(b,i,1)
Next
b=d
Wend
r(j)=b
Next
MsgBox IIf(r(0)>r(1),t(0),IIf(r(0)<r(1),t(1),"STALEMATE"))
End Sub

Answer 12

CoffeeScript - 335

z=(a,b,g=a,h=b)->c=y a;d=y b;e=a.length;f=b.length;return g if(c>d);return h if(d>c);return g if(e<2&&f>1);return h if(f<2&&e>1);return "STALEMATE" if(f==e&&f<2);z(x(a),x(b),a,b)
y=(a)->t=0;t+=c.charCodeAt(0)-1 for c in a;t-=9 while 9<t;t
x=(a)->for i in[90..65]
 b=new RegExp(String.fromCharCode(i));return a.replace b, "" if b.test a

Not as happy with this one as I might have been, but I'll put it up anyway. The actual scoring is very concise (y function), but the ifs to compare results (in z) get pretty long.

To use it call z with your two words (e.g. z 'FOO','BAR'). It will score both words and return the higher scoring word. If it's a tie, it will recurse with the modified words (keeping the originals to return eventually, hence the extra two parameters) which it gets from the x function.

The equivalent (expanded) javascript for those interested:

var x, y, z;

z = function(a, b, g, h) {
  var c, d, e, f;
  if (g == null) {
    g = a;
  }
  if (h == null) {
    h = b;
  }
  c = y(a);
  d = y(b);
  e = a.length;
  f = b.length;
  if (c > d) {
    return g;
  }
  if (d > c) {
    return h;
  }
  if (e < 2 && f > 1) {
    return g;
  }
  if (f < 2 && e > 1) {
    return h;
  }
  if (f === e && f < 2) {
    return "STALEMATE";
  }
  return z(x(a), x(b), a, b);
};

y = function(a) {
  var c, t, _i, _len;
  t = 0;
  for (_i = 0, _len = a.length; _i < _len; _i++) {
    c = a[_i];
    t += c.charCodeAt(0) - 1;
  }
  while (9 < t) {
    t -= 9;
  }
  return t;
};

x = function(a) {
  var b, i, _i;
  for (i = _i = 90; _i >= 65; i = --_i) {
    b = new RegExp(String.fromCharCode(i));
    if (b.test(a)) {
      return a.replace(b, "");
    }
  }
};

Answer 13

C++, 473 (I'm borrowing a course iron)

#include<iostream>
#define $ string
#define _ return
using namespace std;$ S($&s){int i=-1,m=i,x=0;while(++i<s.length())if(s[i]-'@'>x)m=i,x=s[i];s.erase(m,1);_ s;}int M($ w){int i,v=0;for(i=0;i<w.length();++i)v+=w[i]-'@';while(v>9){i=0;while(v)i+=v-v/10*10,v/=10;v=i;}_ v;}$ B($ x, $ y){while(!(M(x)-M(y)))S(x),S(y);if(M(x)>M(y))_ x;if(M(x)<M(y))_ y;_"STALEMATE";}int main(int c,char**v){$ s;cin>>s;$ x=s.substr(0,s.find(',')),y=s.substr(s.find(',')+1);cout<<B(x,y)<<endl;_ 0;}

I'm sure I could shorten it up somehow, but I'm tired.

Edit: originally took command line argument, modified to use cin. It's probably a few characters longer now but I'm too tired to recount it.

Answer 14

Python :383 chars

run the function c('CAN','BAT'):

def k(j):
 l=list(j);l.remove(max(j));return''.join(l)
def f(x):
 x=str(x)
 if len(x)==1 and x.isdigit():return int(x)
 return f(sum('ABCDEFGHIJKLMNOPQRSTUVWXYZ'.index(y)+1 for y in x)) if x.isalpha() else f(sum(map(int,x)))
def c(a,b):
 v=f(a);u=f(b);
 if v>u:return a
 if v<u:return b
 return'STALEMATE' if v==u and (len(a)==1 or len(b)==1)else c(k(a),k(b))