算法训练营day23(补),回溯3

import (

  "sort"

)

39. 组合总和

func combinationSum(candidates []int, target int) [][]int {

  //存储全部集合

  result := make([][]int, 0)

  if len(candidates) == 0 {

    return result

  }

  sort.Ints(candidates) //排序后面做剪枝

  //存储单次集合

  path := make([]int, 0)

  var backtrace func(candidates []int, target int, startIndex int)

  backtrace = func(candidates []int, target int, startIndex int) {

    if target == 0 {

      temp := make([]int, len(path))

      copy(temp, path)

      result = append(result, temp)

      return

    }

    for i := startIndex; i < len(candidates); i++ {

      if candidates[i] > target { //剪枝

        break

      }

      path = append(path, candidates[i])

      backtrace(candidates, target-candidates[i], i)

      //回溯处理

      path = path[:len(path)-1]

    }

  }

  backtrace(candidates, target, 0)

  return result

}

40. 组合总和 II

func combinationSum2(candidates []int, target int) [][]int {

  //存储全部集合

  result := make([][]int, 0)

  if len(candidates) == 0 {

    return result

  }

  sort.Ints(candidates) //排序后面做剪枝

  //记录数组每一个元素是否使用过

  user := make([]bool, len(candidates))

  //存储单次集合

  path := make([]int, 0)

  var backtrace func(candidates []int, target int, startIndex int)

  backtrace = func(candidates []int, target int, startIndex int) {

    if target == 0 {

      temp := make([]int, len(path))

      copy(temp, path)

      result = append(result, temp)

      return

    }

    for i := startIndex; i < len(candidates); i++ {

      if candidates[i] > target { //剪枝

        break

      }

      if i > 0 && candidates[i] == candidates[i-1] && user[i-1] == false { //过滤重复

        continue

      }

      path = append(path, candidates[i])

      user[i] = true

      backtrace(candidates, target-candidates[i], i+1)

      //回溯处理

      path = path[:len(path)-1]

      user[i] = false

    }

  }

  backtrace(candidates, target, 0)

  return result

}

//判断是否是回文

func isPalindrome(s string) bool {

  for i, j := 0, len(s)-1; i < j; i, j = i+1, j-1 {

    if s[i] != s[j] {

      return false

    }

  }

  return true

}

131. 分割回文串

func partition(s string) [][]string {

  //存储全部集合

  result := make([][]string, 0)

  if len(s) == 0 {

    return result

  }

  //存储单次集合

  path := make([]string, 0)

  var backtrace func(se string, startIndex int)

  backtrace = func(se string, startIndex int) {

    if startIndex == len(se) {

      temp := make([]string, len(path))

      copy(temp, path)

      result = append(result, temp)

      return

    }

    for i := startIndex; i < len(se); i++ {

     //对字符串进行切割

      str := se[startIndex : i+1]

      if isPalindrome(str) {

        path = append(path, str)

        backtrace(se, i+1)

        //回溯处理

        path = path[:len(path)-1]

      }

    }

  }

  backtrace(s, 0)

  return result

}

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