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2020-08-09 00:39:24 +08:00

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Backtracking docs

Backtracking

  • 排列问题 Permutations。第 46 题,第 47 题。第 60 题,第 526 题,第 996 题。
  • 组合问题 Combination。第 39 题,第 40 题,第 77 题,第 216 题。
  • 排列和组合杂交问题。第 1079 题。
  • N 皇后终极解法(二进制解法)。第 51 题,第 52 题。
  • 数独问题。第 37 题。
  • 四个方向搜索。第 79 题,第 212 题,第 980 题。
  • 子集合问题。第 78 题,第 90 题。
  • Trie。第 208 题,第 211 题。
  • BFS 优化。第 126 题,第 127 题。
  • DFS 模板。(只是一个例子,不对应任何题)
func combinationSum2(candidates []int, target int) [][]int {
	if len(candidates) == 0 {
		return [][]int{}
	}
	c, res := []int{}, [][]int{}
	sort.Ints(candidates)
	findcombinationSum2(candidates, target, 0, c, &res)
	return res
}

func findcombinationSum2(nums []int, target, index int, c []int, res *[][]int) {
	if target == 0 {
		b := make([]int, len(c))
		copy(b, c)
		*res = append(*res, b)
		return
	}
	for i := index; i < len(nums); i++ {
		if i > index && nums[i] == nums[i-1] { // 这里是去重的关键逻辑
			continue
		}
		if target >= nums[i] {
			c = append(c, nums[i])
			findcombinationSum2(nums, target-nums[i], i+1, c, res)
			c = c[:len(c)-1]
		}
	}
}
  • BFS 模板。(只是一个例子,不对应任何题)
func updateMatrix_BFS(matrix [][]int) [][]int {
	res := make([][]int, len(matrix))
	if len(matrix) == 0 || len(matrix[0]) == 0 {
		return res
	}
	queue := make([][]int, 0)
	for i, _ := range matrix {
		res[i] = make([]int, len(matrix[0]))
		for j, _ := range res[i] {
			if matrix[i][j] == 0 {
				res[i][j] = -1
				queue = append(queue, []int{i, j})
			}
		}
	}
	level := 1
	for len(queue) > 0 {
		size := len(queue)
		for size > 0 {
			size -= 1
			node := queue[0]
			queue = queue[1:]
			i, j := node[0], node[1]
			for _, direction := range [][]int{{-1, 0}, {1, 0}, {0, 1}, {0, -1}} {
				x := i + direction[0]
				y := j + direction[1]
				if x < 0 || x >= len(matrix) || y < 0 || y >= len(matrix[0]) || res[x][y] < 0 || res[x][y] > 0 {
					continue
				}
				res[x][y] = level
				queue = append(queue, []int{x, y})
			}
		}
		level++
	}
	for i, row := range res {
		for j, cell := range row {
			if cell == -1 {
				res[i][j] = 0
			}
		}
	}
	return res
}
Title Solution Difficulty Time Space 收藏
17. Letter Combinations of a Phone Number [Go]({{< relref "/ChapterFour/0017.Letter-Combinations-of-a-Phone-Number.md" >}}) Medium O(log n) O(1)
22. Generate Parentheses [Go]({{< relref "/ChapterFour/0022.Generate-Parentheses.md" >}}) Medium O(log n) O(1)
37. Sudoku Solver [Go]({{< relref "/ChapterFour/0037.Sudoku-Solver.md" >}}) Hard O(n^2) O(n^2) ❤️
39. Combination Sum [Go]({{< relref "/ChapterFour/0039.Combination-Sum.md" >}}) Medium O(n log n) O(n)
40. Combination Sum II [Go]({{< relref "/ChapterFour/0040.Combination-Sum-II.md" >}}) Medium O(n log n) O(n)
46. Permutations [Go]({{< relref "/ChapterFour/0046.Permutations.md" >}}) Medium O(n) O(n) ❤️
47. Permutations II [Go]({{< relref "/ChapterFour/0047.Permutations-II.md" >}}) Medium O(n^2) O(n) ❤️
51. N-Queens [Go]({{< relref "/ChapterFour/0051.N-Queens.md" >}}) Hard O(n^2) O(n) ❤️
52. N-Queens II [Go]({{< relref "/ChapterFour/0052.N-Queens-II.md" >}}) Hard O(n^2) O(n) ❤️
60. Permutation Sequence [Go]({{< relref "/ChapterFour/0060.Permutation-Sequence.md" >}}) Medium O(n log n) O(1)
77. Combinations [Go]({{< relref "/ChapterFour/0077.Combinations.md" >}}) Medium O(n) O(n) ❤️
78. Subsets [Go]({{< relref "/ChapterFour/0078.Subsets.md" >}}) Medium O(n^2) O(n) ❤️
79. Word Search [Go]({{< relref "/ChapterFour/0079.Word-Search.md" >}}) Medium O(n^2) O(n^2) ❤️
89. Gray Codes [Go]({{< relref "/ChapterFour/0089.Gray-Code.md" >}}) Medium O(n) O(1)
90. Subsets II [Go]({{< relref "/ChapterFour/0090.Subsets-II.md" >}}) Medium O(n^2) O(n) ❤️
93. Restore IP Addresses [Go]({{< relref "/ChapterFour/0093.Restore-IP-Addresses.md" >}}) Medium O(n) O(n) ❤️
126. Word Ladder II [Go]({{< relref "/ChapterFour/0126.Word-Ladder-II.md" >}}) Hard O(n) O(n^2) ❤️
131. Palindrome Partitioning [Go]({{< relref "/ChapterFour/0131.Palindrome-Partitioning.md" >}}) Medium O(n) O(n^2) ❤️
211. Add and Search Word - Data structure design [Go]({{< relref "/ChapterFour/0211.Add-and-Search-Word---Data-structure-design.md" >}}) Medium O(n) O(n) ❤️
212. Word Search II [Go]({{< relref "/ChapterFour/0212.Word-Search-II.md" >}}) Hard O(n^2) O(n^2) ❤️
216. Combination Sum III [Go]({{< relref "/ChapterFour/0216.Combination-Sum-III.md" >}}) Medium O(n) O(1) ❤️
306. Additive Number [Go]({{< relref "/ChapterFour/0306.Additive-Number.md" >}}) Medium O(n^2) O(1) ❤️
357. Count Numbers with Unique Digits [Go]({{< relref "/ChapterFour/0357.Count-Numbers-with-Unique-Digits.md" >}}) Medium O(1) O(1)
401. Binary Watch [Go]({{< relref "/ChapterFour/0401.Binary-Watch.md" >}}) Easy O(1) O(1)
526. Beautiful Arrangement [Go]({{< relref "/ChapterFour/0526.Beautiful-Arrangement.md" >}}) Medium O(n^2) O(1) ❤️
784. Letter Case Permutation [Go]({{< relref "/ChapterFour/0784.Letter-Case-Permutation.md" >}}) Easy O(n) O(n)
842. Split Array into Fibonacci Sequence [Go]({{< relref "/ChapterFour/0842.Split-Array-into-Fibonacci-Sequence.md" >}}) Medium O(n^2) O(1) ❤️
980. Unique Paths III [Go]({{< relref "/ChapterFour/0980.Unique-Paths-III.md" >}}) Hard O(n log n) O(n)
996. Number of Squareful Arrays [Go]({{< relref "/ChapterFour/0996.Number-of-Squareful-Arrays.md" >}}) Hard O(n log n) O(n)
1079. Letter Tile Possibilities [Go]({{< relref "/ChapterFour/1079.Letter-Tile-Possibilities.md" >}}) Medium O(n^2) O(1) ❤️
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