The Boggle Game

The language PigEwu has a very simple syntax. Each word in this language has exactly 4 letters. Also each word contains exactly two vowels (y is consider a vowel in PigEwu). For instance, “maar” and “even” are legitimate words, “arts” is not a legal word.

In the game boggle, you are given a 4×4 array of letters and asked to find all words contained in it. A word in our case (PigEwu) will thus be a sequence of 4 distinct squares (letters) that form a legal word and such that each square touches (have a corner or edge in common) the next square.

For example:

 A  S  S  D 
      S  B  E  Y
      G  F  O  I
      H  U  U  K

In this board a (partial) list of legal words include:

 ASGU    SABO    FOIK    FOYD    SYDE    HUFO

BEBO is a legal word but it is not on this boggle board (there are no two B’s here).

Write a program that reads a pair of Boggle boards and lists all PigEwu words that are common to both boards.

Input

The input file will include a few data sets. Each data set will be a pair of boards as shown in the sample input. All entries will be upper case letters. Two consecutive entries on same board will be separated by one blank. The first row in the first board will be on the same line as the first row of the second board. They will be separated by four spaces, the same will hold for the remaining 3 rows. Board pairs will be separated by a blank line. The file will be terminated by `#’.

Output

For each pair of boggle boards, output an alphabetically-sorted list of all common words, each word on a separate line; or the statement “There are no common words for this pair of boggle boards.”

Sample Input

D F F B    W A S U
T U G I    B R E T
O K J M    Y A P Q
K M B E    L O Y R

Z W A V    G S F U
U N C O    A H F T
Y T G I    G N A L
H G P M    B O O B

#

Sample Output

There are no common words for this pair of boggle boards.

ANGO
AOGN
GNAO
GOAN
NAOG
NGOA
OANG
OGNA

C Code


#include<stdio.h>
#include<string.h>
#include<stdlib.h>
#include<ctype.h>
#include<string>
#include<map>

using namespace std;
#define MAXN 6

char V[] = "AEIOUY";
char vf[30];
char B1[6][6], B2[6][6];
char com1[30], com2[30];
char Str[100];
char A[6];
char Fg[MAXN][MAXN];

int ind, Max;

char Word[100000][5];

map<string,bool>M1,M2;

int com(const void *a, const void *b) {
	char *x = (char *)a;
	char *y = (char *)b;
	return strcmp(x,y);
}

void Ini() {
	int i, u;
	for(i = 0; V[i]; i++) {
		u = V[i] - 'A';
		vf[u] = 1;
	}
}
void Sep(int n) {
	int i, j = 0, u;
	for(i = 0; Str[i]; i++) {
		if(isalpha(Str[i])){
			B1[n][j++] = Str[i];
			u = Str[i] - 'A';
			com1[u] = 1;
		}
		if(j == 4) break;
	}
	j = 0;
	for(++i; Str[i]; i++) {
		if(isalpha(Str[i])) {
			B2[n][j++] = Str[i];
			u = Str[i] - 'A';
			com2[u] = 1;
		}
		if(j == 4) return;
	}
}

void recur1(int r, int c, int v, int level) {
	int i, j, nr, nc, x;
	A[level] = B1[r][c];
	if(v >2) return;
	if(level >= 2 &&  v == 0) return;
	if(level == 3 && v == 2) {
		A[level+1] = NULL;
		if(M1[A] == true) return;
		M1[A] = true;
		Max++;
		return;
	}
	if(level >= 3) return;
	Fg[r][c] = 1;
	for(i = - 1; i<= 1; i++) {
		for(j = -1; j<= 1; j++) {
			if(i == 0 && j == 0) continue;
			nr = r+i;
			nc = c+j;
			if(nr <0 || nr >= 4 || nc<0 || nc>4) continue;
			if(Fg[nr][nc]) continue;
			x = B1[nr][nc] - 'A';
			if(!com1[x] || !com2[x]) continue;
			x = vf[x];
			recur1(nr,nc,v+x,level+1);
		}
	}
	Fg[r][c] = 0;
}

void recur2(int r, int c, int v, int level) {
	int i, j, nr, nc, x;
	A[level] = B2[r][c];
	if(v >2) return;
	if(level >= 2 &&  v == 0) return;
	if(level == 3 && v == 2) {
		A[level+1] = NULL;
		if(M1[A] == false) return;
		if(M2[A] == true) return;
		M2[A] = true;
		strcpy(Word[ind++],A);
		return;
	}
	if(level >= 3) return;
	Fg[r][c] = 1;
	for(i = - 1; i<= 1; i++) {
		for(j = -1; j<= 1; j++) {
			if(i == 0 && j == 0) continue;
			nr = r+i;
			nc = c+j;
			if(nr <0 || nr >= 4 || nc<0 || nc>4) continue;
			if(Fg[nr][nc]) continue;
			x = B2[nr][nc] - 'A';
			if(!com1[x] || !com2[x]) continue;
			x = vf[x];
			recur2(nr,nc,v+x,level+1);
		}
	}
	Fg[r][c] = 0;
}

void Cal() {
	int i, j, u;
	ind = Max = 0;
	for(i = 0; i<4; i++) {
		for(j = 0; j<4; j++) {
			u = B1[i][j] - 'A';
			if(com1[u] && com2[u])
				recur1(i,j,vf[u],0);
		}
	}
	if(Max == 0) {
		printf("There are no common words for this pair of boggle boards.\n");
		return;
	}
	ind = 0;
	for(i = 0; i<4; i++) {
		for(j = 0; j<4; j++) {
			u = B2[i][j] - 'A';
			if(com1[u] && com2[u])
				recur2(i,j,vf[u],0);
		}
	}
	if(ind == 0) {
		printf("There are no common words for this pair of boggle boards.\n");
		return;
	}
	qsort(Word,ind,sizeof(Word[0]),com);
	for(i = 0; i<ind; i++)
		printf("%s\n",Word[i]);

}
void Free() {
	int i;
	for(i = 0; i<26; i++) 
		com1[i] = com2[i] = 0;
	M1.clear();
	M2.clear();
}

void main() {
	int i, f = 0;
	char temp[100];
	//freopen("c:\\604.in","r",stdin);
	//freopen("c:\\out.txt","w",stdout);
	Ini();
	while(gets(Str)) {
		if(!strcmp(Str, "#")) break;
		Sep(0);
		for(i = 0; i<3; i++) {
			gets(Str);
			Sep(i+1);
		}
		gets(temp);
		if(f++) printf("\n");
		Cal();
		Free();
	}
}