comments | difficulty | edit_url | tags | ||||
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true |
中等 |
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这个问题是实现一个简单的消除算法。
给定一个 m x n
的二维整数数组 board
代表糖果所在的方格,不同的正整数 board[i][j]
代表不同种类的糖果,如果 board[i][j] == 0
代表 (i, j)
这个位置是空的。
给定的方格是玩家移动后的游戏状态,现在需要你根据以下规则粉碎糖果,使得整个方格处于稳定状态并最终输出:
- 如果有三个及以上水平或者垂直相连的同种糖果,同一时间将它们粉碎,即将这些位置变成空的。
- 在同时粉碎掉这些糖果之后,如果有一个空的位置上方还有糖果,那么上方的糖果就会下落直到碰到下方的糖果或者底部,这些糖果都是同时下落,也不会有新的糖果从顶部出现并落下来。
- 通过前两步的操作,可能又会出现可以粉碎的糖果,请继续重复前面的操作。
- 当不存在可以粉碎的糖果,也就是状态稳定之后,请输出最终的状态。
你需要模拟上述规则并使整个方格达到稳定状态,并输出。
示例 1 :
输入: board = [[110,5,112,113,114],[210,211,5,213,214],[310,311,3,313,314],[410,411,412,5,414],[5,1,512,3,3],[610,4,1,613,614],[710,1,2,713,714],[810,1,2,1,1],[1,1,2,2,2],[4,1,4,4,1014]] 输出: [[0,0,0,0,0],[0,0,0,0,0],[0,0,0,0,0],[110,0,0,0,114],[210,0,0,0,214],[310,0,0,113,314],[410,0,0,213,414],[610,211,112,313,614],[710,311,412,613,714],[810,411,512,713,1014]]
示例 2:
输入: board = [[1,3,5,5,2],[3,4,3,3,1],[3,2,4,5,2],[2,4,4,5,5],[1,4,4,1,1]] 输出: [[1,3,0,0,0],[3,4,0,5,2],[3,2,0,3,1],[2,4,0,5,2],[1,4,3,1,1]]
提示:
m == board.length
n == board[i].length
3 <= m, n <= 50
1 <= board[i][j] <= 2000
我们可以逐行和逐列遍历矩阵,找到连续三个相同的元素,将它们标记为负数。如果成功标记,我们需要将矩阵中的元素下移,直到没有元素可以下移为止。
时间复杂度
class Solution:
def candyCrush(self, board: List[List[int]]) -> List[List[int]]:
m, n = len(board), len(board[0])
run = True
while run:
run = False
for i in range(m):
for j in range(2, n):
if board[i][j] and abs(board[i][j]) == abs(board[i][j - 1]) == abs(
board[i][j - 2]
):
run = True
board[i][j] = board[i][j - 1] = board[i][j - 2] = -abs(
board[i][j]
)
for j in range(n):
for i in range(2, m):
if board[i][j] and abs(board[i][j]) == abs(board[i - 1][j]) == abs(
board[i - 2][j]
):
run = True
board[i][j] = board[i - 1][j] = board[i - 2][j] = -abs(
board[i][j]
)
if run:
for j in range(n):
k = m - 1
for i in range(m - 1, -1, -1):
if board[i][j] > 0:
board[k][j] = board[i][j]
k -= 1
while k >= 0:
board[k][j] = 0
k -= 1
return board
class Solution {
public int[][] candyCrush(int[][] board) {
int m = board.length, n = board[0].length;
boolean run = true;
while (run) {
run = false;
for (int i = 0; i < m; i++) {
for (int j = 2; j < n; j++) {
if (board[i][j] != 0 && Math.abs(board[i][j]) == Math.abs(board[i][j - 1])
&& Math.abs(board[i][j]) == Math.abs(board[i][j - 2])) {
run = true;
int val = Math.abs(board[i][j]);
board[i][j] = board[i][j - 1] = board[i][j - 2] = -val;
}
}
}
for (int j = 0; j < n; j++) {
for (int i = 2; i < m; i++) {
if (board[i][j] != 0 && Math.abs(board[i][j]) == Math.abs(board[i - 1][j])
&& Math.abs(board[i][j]) == Math.abs(board[i - 2][j])) {
run = true;
int val = Math.abs(board[i][j]);
board[i][j] = board[i - 1][j] = board[i - 2][j] = -val;
}
}
}
if (run) {
for (int j = 0; j < n; j++) {
int k = m - 1;
for (int i = m - 1; i >= 0; i--) {
if (board[i][j] > 0) {
board[k][j] = board[i][j];
k--;
}
}
while (k >= 0) {
board[k][j] = 0;
k--;
}
}
}
}
return board;
}
}
class Solution {
public:
vector<vector<int>> candyCrush(vector<vector<int>>& board) {
int m = board.size(), n = board[0].size();
bool run = true;
while (run) {
run = false;
for (int i = 0; i < m; ++i) {
for (int j = 0; j < n - 2; ++j) {
if (board[i][j] != 0 && abs(board[i][j]) == abs(board[i][j + 1]) && abs(board[i][j]) == abs(board[i][j + 2])) {
run = true;
board[i][j] = board[i][j + 1] = board[i][j + 2] = -abs(board[i][j]);
}
}
}
for (int j = 0; j < n; ++j) {
for (int i = 0; i < m - 2; ++i) {
if (board[i][j] != 0 && abs(board[i][j]) == abs(board[i + 1][j]) && abs(board[i][j]) == abs(board[i + 2][j])) {
run = true;
board[i][j] = board[i + 1][j] = board[i + 2][j] = -abs(board[i][j]);
}
}
}
if (run) {
for (int j = 0; j < n; ++j) {
int curr = m - 1;
for (int i = m - 1; i >= 0; --i) {
if (board[i][j] > 0) {
board[curr][j] = board[i][j];
--curr;
}
}
while (curr > -1) {
board[curr][j] = 0;
--curr;
}
}
}
}
return board;
}
};
func candyCrush(board [][]int) [][]int {
m := len(board)
n := len(board[0])
run := true
for run {
run = false
for i := 0; i < m; i++ {
for j := 2; j < n; j++ {
if board[i][j] != 0 && abs(board[i][j]) == abs(board[i][j-1]) && abs(board[i][j]) == abs(board[i][j-2]) {
run = true
val := abs(board[i][j])
board[i][j] = -val
board[i][j-1] = -val
board[i][j-2] = -val
}
}
}
for j := 0; j < n; j++ {
for i := 2; i < m; i++ {
if board[i][j] != 0 && abs(board[i][j]) == abs(board[i-1][j]) && abs(board[i][j]) == abs(board[i-2][j]) {
run = true
val := abs(board[i][j])
board[i][j] = -val
board[i-1][j] = -val
board[i-2][j] = -val
}
}
}
if run {
for j := 0; j < n; j++ {
k := m - 1
for i := m - 1; i >= 0; i-- {
if board[i][j] > 0 {
board[k][j] = board[i][j]
k--
}
}
for k >= 0 {
board[k][j] = 0
k--
}
}
}
}
return board
}
func abs(x int) int {
if x < 0 {
return -x
}
return x
}
function candyCrush(board: number[][]): number[][] {
const m = board.length;
const n = board[0].length;
let run = true;
while (run) {
run = false;
for (let i = 0; i < m; i++) {
for (let j = 2; j < n; j++) {
if (
board[i][j] !== 0 &&
Math.abs(board[i][j]) === Math.abs(board[i][j - 1]) &&
Math.abs(board[i][j]) === Math.abs(board[i][j - 2])
) {
run = true;
const val = Math.abs(board[i][j]);
board[i][j] = board[i][j - 1] = board[i][j - 2] = -val;
}
}
}
for (let j = 0; j < n; j++) {
for (let i = 2; i < m; i++) {
if (
board[i][j] !== 0 &&
Math.abs(board[i][j]) === Math.abs(board[i - 1][j]) &&
Math.abs(board[i][j]) === Math.abs(board[i - 2][j])
) {
run = true;
const val = Math.abs(board[i][j]);
board[i][j] = board[i - 1][j] = board[i - 2][j] = -val;
}
}
}
if (run) {
for (let j = 0; j < n; j++) {
let k = m - 1;
for (let i = m - 1; i >= 0; i--) {
if (board[i][j] > 0) {
board[k][j] = board[i][j];
k--;
}
}
while (k >= 0) {
board[k][j] = 0;
k--;
}
}
}
}
return board;
}