BOGGLE 문제를 두가지 방법으로 풀어보았는데
첫번째 방법은 시작전에 불가능한 케이스를 전부제거하고 재귀호출로 답을 구하였고
두번째 방법은 동적프로그래밍으로 결과를 전부 메모해가면서 중복호출이없는 재귀호출을 하엿습니다. (이경우엔 시작전에 불가능한 케이스를 제거하는 로직자체가 실행속도를 딜레이시키더라구요, 그래서 그부분은 제거했습니다)
첫번째 어프로치는 그냥 제가 막푼거고
두번째 방법은 자바로 짠로직중에 제일빠른게 heekyu님꺼여서 참고해서 사용하였는데 속도 차이가 많이나네요.

속도는 첫번째가 약 30% 가량 더 빠르게 나왔습니다. 알고리즘특성상 dp가 더 느릴수가 없는거같은데 혹시 제가 구현을 잘못한건가요? 아래 코드 첨부합니다.

-------------첫번째
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.LinkedList;
import java.util.Queue;
import java.util.StringTokenizer;

public class Main {
private static int boardSize = 5;
public static void main(String[] args) throws IOException {
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
int cNum = Integer.parseInt(br.readLine());
for (int i=0; i<cNum; i++){
char[][] board = new char[boardSize][];
for (int j=0; j<boardSize; j++)
board[j] = br.readLine().toCharArray();

int searchStrNum = Integer.parseInt(br.readLine());
        for (int j=0; j<searchStrNum; j++){
            String str = br.readLine();
            System.out.println(String.format("%s %s", str, solve(board, str.toCharArray(), 0, -1, -1)?"YES":"NO"));
        }
    }
    br.close();
}
private static boolean solve(char[][] board, char[] search, int pt, int prev_x, int prev_y) {
    boolean res = false;
    if (pt == search.length) return true;
    else if (pt == 0){
        if (!check(board, search)) return false;
        for (int i=0; i<boardSize; i++)
            for (int j=0; j<boardSize; j++)
                if (board[i][j] == search[pt])
                    res = res || solve(board, search, pt+1, i, j);
    } else{
        if (prev_x > 0){
            if (prev_y > 0 && board[prev_x-1][prev_y-1] == search[pt]) {
                res = res || solve(board, search, pt+1, prev_x-1, prev_y-1);}
            if (board[prev_x-1][prev_y] == search[pt]) {
                res = res || solve(board, search, pt+1, prev_x-1, prev_y);}
            if (prev_y < 4 && board[prev_x-1][prev_y+1] == search[pt]) {
                res = res || solve(board, search, pt+1, prev_x-1, prev_y+1);}
        }
        if (prev_x < boardSize-1){
            if (prev_y > 0 && board[prev_x+1][prev_y-1] == search[pt]) {
                res = res || solve(board, search, pt+1, prev_x+1, prev_y-1);}
            if (board[prev_x+1][prev_y] == search[pt]) {
                res = res || solve(board, search, pt+1, prev_x+1, prev_y);}
            if (prev_y < 4 && board[prev_x+1][prev_y+1] == search[pt]) {
                res = res || solve(board, search, pt+1, prev_x+1, prev_y+1);}
        }
        if (prev_y > 0 && board[prev_x][prev_y-1] == search[pt]) {
            res = res || solve(board, search, pt+1, prev_x, prev_y-1);}
        if (prev_y < 4 && board[prev_x][prev_y+1] == search[pt]) {
            res = res || solve(board, search, pt+1, prev_x, prev_y+1);}
    }
    return res;
}
private static boolean check(char[][] board, char[] search) {
    int len = search.length;
    boolean[] memo = new boolean[len];
    for (int i=0; i<boardSize; i++){
        for (int j=0; j<boardSize; j++){
            for (int k=0; k<len; k++){
                if (memo[k])
                    continue;
                if (board[i][j] == search[k])
                    memo[k] = true;
            }
        }
    }
    for (int k=0; k<len; k++)
        if (!memo[k]) return false;
    return true;
}

}

---------------두번째
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;

public class Main {
private static final int boardSize = 5;
private static final int[] dx = {-1, -1, -1, 1, 1, 1, 0, 0};
private static final int[] dy = {-1, 0, 1, -1, 0, 1, -1, 1};
private static char[][] board = new char[boardSize][boardSize];
public static void main(String[] args) throws IOException {
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
int cNum = Integer.parseInt(br.readLine());
for (int i=0; i<cNum; i++){
for (int j=0; j<boardSize; j++)
board[j] = br.readLine().toCharArray();

int searchStrNum = Integer.parseInt(br.readLine());
        for (int j = 0; j < searchStrNum; j++) {
            String str = br.readLine();
            char[] chArr = str.toCharArray();
            boolean ret = false;
            boolean[][][] boardMem = new boolean[boardSize][boardSize][chArr.length];
            for (int x = 0; x < boardSize; x++) {
                for (int y = 0; y < boardSize; y++) {
                    if (solve(boardMem, chArr, 0, x, y)) {
                        x = boardSize;
                        y = boardSize;
                        ret = true;
                    }
                }
            }
            System.out.println(String.format("%s %s", str, ret?"YES":"NO"));
        }
    }
    br.close();
}
private static boolean solve(boolean[][][] boardMem, char[] search, int pt, int x, int y) {
    if (x>=boardSize || x<0 || y<0 || y>=boardSize) return false;
    if (board[x][y] != search[pt]) return false;
    if (pt == search.length-1) return true;
    if (boardMem[x][y][pt]) return false;
    boardMem[x][y][pt] = true;
    for (int dir = 0; dir<8; dir++){
        int nextX = x + dx[dir], nextY = y + dy[dir];
        if (solve(boardMem, search, pt+1, nextX, nextY))
            return true;
    }
    return false;
}

}