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https://github.com/halfrost/LeetCode-Go.git
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添加 problem 990
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package leetcode
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func equationsPossible(equations []string) bool {
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if len(equations) == 0 {
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return false
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}
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uf := UnionFind{}
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uf.init(26)
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for _, equ := range equations {
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if equ[1] == '=' && equ[2] == '=' {
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uf.union(int(equ[0]-'a'), int(equ[3]-'a'))
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}
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}
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for _, equ := range equations {
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if equ[1] == '!' && equ[2] == '=' {
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if uf.find(int(equ[0]-'a')) == uf.find(int(equ[3]-'a')) {
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return false
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}
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}
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}
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return true
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}
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package leetcode
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import (
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"fmt"
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"testing"
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)
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type question990 struct {
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para990
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ans990
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}
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// para 是参数
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// one 代表第一个参数
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type para990 struct {
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a []string
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}
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// ans 是答案
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// one 代表第一个答案
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type ans990 struct {
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one bool
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}
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func Test_Problem990(t *testing.T) {
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qs := []question990{
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question990{
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para990{[]string{"a==b", "b!=a"}},
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ans990{false},
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},
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question990{
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para990{[]string{"b==a", "a==b"}},
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ans990{true},
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},
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question990{
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para990{[]string{"a==b", "b==c", "a==c"}},
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ans990{true},
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},
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question990{
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para990{[]string{"a==b", "b!=c", "c==a"}},
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ans990{false},
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},
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question990{
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para990{[]string{"c==c", "b==d", "x!=z"}},
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ans990{true},
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},
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}
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fmt.Printf("------------------------Leetcode Problem 990------------------------\n")
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for _, q := range qs {
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_, p := q.ans990, q.para990
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fmt.Printf("【input】:%v 【output】:%v\n", p, equationsPossible(p.a))
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}
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fmt.Printf("\n\n\n")
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}
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65
Algorithms/0990. Satisfiability of Equality Equations/README.md
Executable file
65
Algorithms/0990. Satisfiability of Equality Equations/README.md
Executable file
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# [990. Satisfiability of Equality Equations](https://leetcode.com/problems/satisfiability-of-equality-equations/)
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## 题目:
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Given an array equations of strings that represent relationships between variables, each string `equations[i]` has length `4` and takes one of two different forms: `"a==b"` or `"a!=b"`. Here, `a` and `b` are lowercase letters (not necessarily different) that represent one-letter variable names.
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Return `true` if and only if it is possible to assign integers to variable names so as to satisfy all the given equations.
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**Example 1:**
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Input: ["a==b","b!=a"]
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Output: false
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Explanation: If we assign say, a = 1 and b = 1, then the first equation is satisfied, but not the second. There is no way to assign the variables to satisfy both equations.
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**Example 2:**
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Input: ["b==a","a==b"]
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Output: true
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Explanation: We could assign a = 1 and b = 1 to satisfy both equations.
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**Example 3:**
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Input: ["a==b","b==c","a==c"]
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Output: true
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**Example 4:**
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Input: ["a==b","b!=c","c==a"]
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Output: false
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**Example 5:**
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Input: ["c==c","b==d","x!=z"]
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Output: true
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**Note:**
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1. `1 <= equations.length <= 500`
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2. `equations[i].length == 4`
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3. `equations[i][0]` and `equations[i][3]` are lowercase letters
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4. `equations[i][1]` is either `'='` or `'!'`
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5. `equations[i][2]` is `'='`
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## 题目大意
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给定一个由表示变量之间关系的字符串方程组成的数组,每个字符串方程 equations[i] 的长度为 4,并采用两种不同的形式之一:"a==b" 或 "a!=b"。在这里,a 和 b 是小写字母(不一定不同),表示单字母变量名。只有当可以将整数分配给变量名,以便满足所有给定的方程时才返回 true,否则返回 false。
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提示:
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1. 1 <= equations.length <= 500
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2. equations[i].length == 4
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3. equations[i][0] 和 equations[i][3] 是小写字母
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4. equations[i][1] 要么是 '=',要么是 '!'
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5. equations[i][2] 是 '='
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## 解题思路
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- 给出一个字符串数组,数组里面给出的是一些字母的关系,只有 `'=='` 和 `'! ='` 两种关系。问给出的这些关系中是否存在悖论?
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- 这一题是简单的并查集的问题。先将所有 `'=='` 关系的字母 `union()` 起来,然后再一一查看 `'! ='` 关系中是否有 `'=='` 关系的组合,如果有,就返回 `false`,如果遍历完都没有找到,则返回 `true`。
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