添加 problem 130

This commit is contained in:
YDZ
2019-07-28 08:26:25 +08:00
parent e29ed868db
commit 8fa5236be7
4 changed files with 206 additions and 32 deletions

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@@ -0,0 +1,75 @@
package leetcode
// 解法一 并查集
func solve(board [][]byte) {
if len(board) == 0 {
return
}
m, n := len(board[0]), len(board)
uf := UnionFind{}
uf.init(n*m + 1) // 特意多一个特殊点用来标记
for i := 0; i < n; i++ {
for j := 0; j < m; j++ {
if (i == 0 || i == n-1 || j == 0 || j == m-1) && board[i][j] == 'O' { //棋盘边缘上的 'O' 点
uf.union(i*m+j, n*m)
} else if board[i][j] == 'O' { //棋盘非边缘上的内部的 'O' 点
if board[i-1][j] == 'O' {
uf.union(i*m+j, (i-1)*m+j)
}
if board[i+1][j] == 'O' {
uf.union(i*m+j, (i+1)*m+j)
}
if board[i][j-1] == 'O' {
uf.union(i*m+j, i*m+j-1)
}
if board[i][j+1] == 'O' {
uf.union(i*m+j, i*m+j+1)
}
}
}
}
for i := 0; i < n; i++ {
for j := 0; j < m; j++ {
if uf.find(i*m+j) != uf.find(n*m) {
board[i][j] = 'X'
}
}
}
}
// 解法二 DFS
func solve1(board [][]byte) {
for i := range board {
for j := range board[i] {
if i == 0 || i == len(board)-1 || j == 0 || j == len(board[i])-1 {
if board[i][j] == 'O' {
dfs130(i, j, board)
}
}
}
}
for i := range board {
for j := range board[i] {
if board[i][j] == '*' {
board[i][j] = 'O'
} else if board[i][j] == 'O' {
board[i][j] = 'X'
}
}
}
}
func dfs130(i, j int, board [][]byte) {
if i < 0 || i > len(board)-1 || j < 0 || j > len(board[i])-1 {
return
}
if board[i][j] == 'O' {
board[i][j] = '*'
for k := 0; k < 4; k++ {
dfs130(i+dir[k][0], j+dir[k][1], board)
}
}
}

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@@ -0,0 +1,49 @@
package leetcode
import (
"fmt"
"testing"
)
type question130 struct {
para130
ans130
}
// para 是参数
// one 代表第一个参数
type para130 struct {
one [][]byte
}
// ans 是答案
// one 代表第一个答案
type ans130 struct {
one [][]byte
}
func Test_Problem130(t *testing.T) {
qs := []question130{
question130{
para130{[][]byte{}},
ans130{[][]byte{}},
},
question130{
para130{[][]byte{[]byte{'X', 'X', 'X', 'X'}, []byte{'X', 'O', 'O', 'X'}, []byte{'X', 'X', 'O', 'X'}, []byte{'X', 'O', 'X', 'X'}}},
ans130{[][]byte{[]byte{'X', 'X', 'X', 'X'}, []byte{'X', 'X', 'X', 'X'}, []byte{'X', 'X', 'X', 'X'}, []byte{'X', 'O', 'X', 'X'}}},
},
}
fmt.Printf("------------------------Leetcode Problem 130------------------------\n")
for _, q := range qs {
_, p := q.ans130, q.para130
fmt.Printf("【input】:%v ", p)
solve1(p.one)
fmt.Printf("【output】:%v \n", p)
}
fmt.Printf("\n\n\n")
}

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@@ -0,0 +1,39 @@
# [130. Surrounded Regions](https://leetcode.com/problems/surrounded-regions/)
## 题目:
Given a 2D board containing `'X'` and `'O'` (**the letter O**), capture all regions surrounded by `'X'`.
A region is captured by flipping all `'O'`s into `'X'`s in that surrounded region.
**Example:**
X X X X
X O O X
X X O X
X O X X
After running your function, the board should be:
X X X X
X X X X
X X X X
X O X X
**Explanation:**
Surrounded regions shouldnt be on the border, which means that any `'O'` on the border of the board are not flipped to `'X'`. Any `'O'` that is not on the border and it is not connected to an `'O'` on the border will be flipped to `'X'`. Two cells are connected if they are adjacent cells connected horizontally or vertically.
## 题目大意
给定一个二维的矩阵,包含 'X' 和 'O'(字母 O。找到所有被 'X' 围绕的区域,并将这些区域里所有的 'O' 用 'X' 填充。被围绕的区间不会存在于边界上,换句话说,任何边界上的 'O' 都不会被填充为 'X'。 任何不在边界上,或不与边界上的 'O' 相连的 'O' 最终都会被填充为 'X'。如果两个元素在水平或垂直方向相邻,则称它们是“相连”的。
## 解题思路
- 给出一张二维地图,要求把地图上非边缘上的 'O' 都用 'X' 覆盖掉。
- 这一题有多种解法。第一种解法是并查集。先将边缘上的 'O' 全部都和一个特殊的点进行 `union()` 。然后再把地图中间的 'O' 都进行 `union()`,最后把和特殊点不是同一个集合的点都标记成 'X'。第二种解法是 DFS 或者 BFS可以先将边缘上的 'O' 先标记成另外一个字符,然后在递归遍历过程中,把剩下的 'O' 都标记成 'X'。

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@@ -2,60 +2,71 @@ package leetcode
// 解法一 并查集
// UninonSet defind
type UninonSet struct {
roots []int
// UnionFind defind
type UnionFind struct {
parent, rank []int
count int
}
func (us UninonSet) init() {
for i := range us.roots {
us.roots[i] = i
func (uf *UnionFind) init(n int) {
uf.count = n
uf.parent = make([]int, n)
uf.rank = make([]int, n)
for i := range uf.parent {
uf.parent[i] = i
}
}
func (us UninonSet) findRoot(i int) int {
root := i
for root != us.roots[root] {
root = us.roots[root]
func (uf *UnionFind) find(p int) int {
root := p
for root != uf.parent[root] {
root = uf.parent[root]
}
for i != us.roots[i] {
tmp := us.roots[i]
us.roots[i] = root
i = tmp
// compress path
for p != uf.parent[p] {
tmp := uf.parent[p]
uf.parent[p] = root
p = tmp
}
return root
}
func (us UninonSet) union(p, q int) {
qroot := us.findRoot(q)
proot := us.findRoot(p)
us.roots[proot] = qroot
func (uf *UnionFind) union(p, q int) {
proot := uf.find(p)
qroot := uf.find(q)
if proot == qroot {
return
}
if uf.rank[qroot] > uf.rank[proot] {
uf.parent[proot] = qroot
} else {
uf.parent[qroot] = proot
if uf.rank[proot] == uf.rank[qroot] {
uf.rank[proot]++
}
}
uf.count--
}
func (uf *UnionFind) totalCount() int {
return uf.count
}
func findCircleNum(M [][]int) int {
n, count := len(M), 0
n := len(M)
if n == 0 {
return 0
}
us := UninonSet{}
us.roots = make([]int, n+1)
us.init()
uf := UnionFind{}
uf.init(n)
for i := 0; i < n; i++ {
for j := 0; j <= i; j++ {
if M[i][j] == 1 {
x, y := us.findRoot(i), us.findRoot(j)
if x != y {
us.union(x, y)
}
uf.union(i, j)
}
}
}
for i := 0; i < n; i++ {
if us.roots[i] == i {
count++
}
}
return count
return uf.count
}
// 解法二 FloodFill DFS 暴力解法