Add solution 1600, change dir 0167、0303、0304、0307、0653、1017

This commit is contained in:
YDZ
2021-06-20 13:44:46 +08:00
parent fe99f9d7d5
commit c28e1c0267
39 changed files with 758 additions and 416 deletions

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package leetcode
type ThroneInheritance struct {
king string
edges map[string][]string
dead map[string]bool
}
func Constructor(kingName string) (t ThroneInheritance) {
return ThroneInheritance{kingName, map[string][]string{}, map[string]bool{}}
}
func (t *ThroneInheritance) Birth(parentName, childName string) {
t.edges[parentName] = append(t.edges[parentName], childName)
}
func (t *ThroneInheritance) Death(name string) {
t.dead[name] = true
}
func (t *ThroneInheritance) GetInheritanceOrder() (res []string) {
var preorder func(string)
preorder = func(name string) {
if !t.dead[name] {
res = append(res, name)
}
for _, childName := range t.edges[name] {
preorder(childName)
}
}
preorder(t.king)
return
}
/**
* Your ThroneInheritance object will be instantiated and called as such:
* obj := Constructor(kingName);
* obj.Birth(parentName,childName);
* obj.Death(name);
* param_3 := obj.GetInheritanceOrder();
*/

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package leetcode
import (
"fmt"
"testing"
)
func Test_Problem1600(t *testing.T) {
obj := Constructor("king")
fmt.Printf("obj = %v\n", obj)
obj.Birth("king", "andy")
fmt.Printf("obj = %v\n", obj)
obj.Birth("king", "bob")
fmt.Printf("obj = %v\n", obj)
obj.Birth("king", "catherine")
fmt.Printf("obj = %v\n", obj)
obj.Birth("andy", "matthew")
fmt.Printf("obj = %v\n", obj)
obj.Birth("bob", "alex")
fmt.Printf("obj = %v\n", obj)
obj.Birth("bob", "asha")
fmt.Printf("obj = %v\n", obj)
param2 := obj.GetInheritanceOrder()
fmt.Printf("param_2 = %v obj = %v\n", param2, obj)
obj.Death("bob")
fmt.Printf("obj = %v\n", obj)
param2 = obj.GetInheritanceOrder()
fmt.Printf("param_2 = %v obj = %v\n", param2, obj)
}

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# [1600. Throne Inheritance](https://leetcode.com/problems/throne-inheritance/)
## 题目
A kingdom consists of a king, his children, his grandchildren, and so on. Every once in a while, someone in the family dies or a child is born.
The kingdom has a well-defined order of inheritance that consists of the king as the first member. Let's define the recursive function `Successor(x, curOrder)`, which given a person `x` and the inheritance order so far, returns who should be the next person after `x` in the order of inheritance.
```
Successor(x, curOrder):
if x has no children or all of x's children are in curOrder:
if x is the king return null
else return Successor(x's parent, curOrder)
else return x's oldest child who's not in curOrder
```
For example, assume we have a kingdom that consists of the king, his children Alice and Bob (Alice is older than Bob), and finally Alice's son Jack.
1. In the beginning, `curOrder` will be `["king"]`.
2. Calling `Successor(king, curOrder)` will return Alice, so we append to `curOrder` to get `["king", "Alice"]`.
3. Calling `Successor(Alice, curOrder)` will return Jack, so we append to `curOrder` to get `["king", "Alice", "Jack"]`.
4. Calling `Successor(Jack, curOrder)` will return Bob, so we append to `curOrder` to get `["king", "Alice", "Jack", "Bob"]`.
5. Calling `Successor(Bob, curOrder)` will return `null`. Thus the order of inheritance will be `["king", "Alice", "Jack", "Bob"]`.
Using the above function, we can always obtain a unique order of inheritance.
Implement the `ThroneInheritance` class:
- `ThroneInheritance(string kingName)` Initializes an object of the `ThroneInheritance` class. The name of the king is given as part of the constructor.
- `void birth(string parentName, string childName)` Indicates that `parentName` gave birth to `childName`.
- `void death(string name)` Indicates the death of `name`. The death of the person doesn't affect the `Successor` function nor the current inheritance order. You can treat it as just marking the person as dead.
- `string[] getInheritanceOrder()` Returns a list representing the current order of inheritance **excluding** dead people.
**Example 1:**
```
Input
["ThroneInheritance", "birth", "birth", "birth", "birth", "birth", "birth", "getInheritanceOrder", "death", "getInheritanceOrder"]
[["king"], ["king", "andy"], ["king", "bob"], ["king", "catherine"], ["andy", "matthew"], ["bob", "alex"], ["bob", "asha"], [null], ["bob"], [null]]
Output
[null, null, null, null, null, null, null, ["king", "andy", "matthew", "bob", "alex", "asha", "catherine"], null, ["king", "andy", "matthew", "alex", "asha", "catherine"]]
Explanation
ThroneInheritance t= new ThroneInheritance("king"); // order:king
t.birth("king", "andy"); // order: king >andy
t.birth("king", "bob"); // order: king > andy >bob
t.birth("king", "catherine"); // order: king > andy > bob >catherine
t.birth("andy", "matthew"); // order: king > andy >matthew > bob > catherine
t.birth("bob", "alex"); // order: king > andy > matthew > bob >alex > catherine
t.birth("bob", "asha"); // order: king > andy > matthew > bob > alex >asha > catherine
t.getInheritanceOrder(); // return ["king", "andy", "matthew", "bob", "alex", "asha", "catherine"]
t.death("bob"); // order: king > andy > matthew >bob > alex > asha > catherine
t.getInheritanceOrder(); // return ["king", "andy", "matthew", "alex", "asha", "catherine"]
```
**Constraints:**
- `1 <= kingName.length, parentName.length, childName.length, name.length <= 15`
- `kingName`, `parentName`, `childName`, and `name` consist of lowercase English letters only.
- All arguments `childName` and `kingName` are **distinct**.
- All `name` arguments of `death` will be passed to either the constructor or as `childName` to `birth` first.
- For each call to `birth(parentName, childName)`, it is guaranteed that `parentName` is alive.
- At most `105` calls will be made to `birth` and `death`.
- At most `10` calls will be made to `getInheritanceOrder`.
## 题目大意
一个王国里住着国王、他的孩子们、他的孙子们等等。每一个时间点这个家庭里有人出生也有人死亡。这个王国有一个明确规定的皇位继承顺序第一继承人总是国王自己。我们定义递归函数 Successor(x, curOrder) 给定一个人 x 和当前的继承顺序该函数返回 x 的下一继承人。
## 解题思路
- 这道题思路不难。先将国王每个孩子按照顺序存在一个 map 中,然后每个国王的孩子还存在父子关系,同理也按顺序存在 map 中。执行 GetInheritanceOrder() 函数时,将国王的孩子按顺序遍历,如果每个孩子还有孩子,递归遍历到底。如果把继承关系看成一棵树,此题便是多叉树的先根遍历的问题。
## 代码
```go
package leetcode
type ThroneInheritance struct {
king string
edges map[string][]string
dead map[string]bool
}
func Constructor(kingName string) (t ThroneInheritance) {
return ThroneInheritance{kingName, map[string][]string{}, map[string]bool{}}
}
func (t *ThroneInheritance) Birth(parentName, childName string) {
t.edges[parentName] = append(t.edges[parentName], childName)
}
func (t *ThroneInheritance) Death(name string) {
t.dead[name] = true
}
func (t *ThroneInheritance) GetInheritanceOrder() (res []string) {
var preorder func(string)
preorder = func(name string) {
if !t.dead[name] {
res = append(res, name)
}
for _, childName := range t.edges[name] {
preorder(childName)
}
}
preorder(t.king)
return
}
/**
* Your ThroneInheritance object will be instantiated and called as such:
* obj := Constructor(kingName);
* obj.Birth(parentName,childName);
* obj.Death(name);
* param_3 := obj.GetInheritanceOrder();
*/
```