Hope and Possibilities

本文探讨了两位毕业生关于大学毕业后职业选择、面临的挑战及如何实现个人目标的对话。他们讨论了兴趣导向的职业追求与家人期望之间的冲突,以及在追求职业成功时保持现实的重要性。

A: I am looking forward to relaxing this coming weekend.

B: I hope that I can finally find some free time too. I have been so busy at work recently.

A: How might you spend your weekend?

B: I hope to do a little gardening. I find it very relaxing.

A: I might do that too. I hope that the weather is nice. I could go and play some golf.

B: I heard that the weather should to be good. There’s a possibility of a shower, but it is not very likely.

A: Hopefully, we both have a relaxing weekends.

B: Of course, Something could come out and stop that wish coming true.

A: Unfortunately, there’s always the possibility of some urgent work requiring our attention.

 

A: What do you want to do after graduate university?

B: I’d like to go into management. I’ve applied for several jobs already and I’m hopeful that I will get some job offers. How about you?

A: After I graduate, I have to do some studies to pass exams to become a layer. I think I’ve got a good chance of passing. There’s a possibility of getting a job with a law firm in London, provide that I do well.

B: We both have to overcome some obstacles if we are to achieve our ambitions.

A: If life were easy, then we’d achieve our ambition quickly, and then get bored.

B: Unfortunately, it is inevitable that some people are going to work hard yet not succeed.

A: That’s why ambition needs to be realistic. You can’t achieve something that’s totally unrealistic.

B: As long as you plan carefully, most thing are possible. It is always good to have a backup plan in case things go wrong.

A: I think it’s important to be successful in a field you truly interested in, not something that other people force you to be interested it.

B: My father wanted me to become a doctor, but I knew it is impossible for me to be successful in that field.

A: I hope that my parents don’t try to interfere in my choice of career.

Problem Statement There is a simple undirected graph with N vertices and M edges. The graph consists of vertex 1, vertex 2,…, vertex N, and the i-th edge (1≤i≤M) connects vertices u i ​ and v i ​ . You will perform the following operation zero or more times: Choose one edge that has not been deleted yet, and delete it. Your goal is to make the graph bipartite. Find the minimum number of operations needed to make the graph after the operations bipartite. What it means for a graph to be simple?    A graph is simple if and only if it has no self-loops (edges where u i ​ =v i ​ ) or multi-edges (pairs of edges where u i ​ =u j ​ and v i ​ =v j ​ ). DeepL 翻译    图形简单意味着什么? 当且仅当一个图没有自循环( u i ​ =v i ​ 的边)或多对边( u i ​ =u j ​ 和 v i ​ =v j ​ 的边对)时,这个图才是简单的。 What is a bipartite graph?    A bipartite graph is a graph where it is possible to color each vertex black or white satisfying the following condition: For every edge, the two vertices connected by that edge have different colors. DeepL 翻译    什么是二方图? 二方图是一种可以将每个顶点涂成黑色或白色的图,并满足以下条件: 对于每一条边,由该边连接的两个顶点具有不同的颜色。 DeepL 翻译    问题陈述 有一个简单的无向图,该图有 N 个顶点和 M 条边。该图由顶点 1, 顶点 2,…, 顶点 N 和连接顶点 u i ​ 和 v i ​ 的 i -th 边 (1≤i≤M) 组成。 您将执行以下操作零次或多次: 选择一条尚未删除的边,并删除它。 您的目标是使图形成为两部分。找出使操作后的图形成为两部分所需的最少操作次数。 图形简单意味着什么? 只有当且仅当一个图没有自循环( u i ​ =v i ​ 的边)或多对边( u i ​ =u j ​ 和 v i ​ =v j ​ 的边对)时,这个图才是简单的。 什么是二方图? 二方图是指每个顶点都可以涂成黑色或白色,并满足以下条件的图: 对于每一条边,由该边连接的两个顶点具有不同的颜色。    Constraints 2≤N≤10 1≤M≤ 2 N(N&minus;1) ​ 1≤u i ​ <v i ​ ≤N (1≤i≤M) The given graph is simple. All input values are integers. DeepL 翻译    限制因素 2≤N≤10 1≤M≤ 2 N(N&minus;1) ​ 1≤u i ​ <v i ​ ≤N (1≤i≤M) 给定的图形很简单。 所有输入值均为整数。    Input The input is given from Standard Input in the following format: N M u 1 ​ v 1 ​ u 2 ​ v 2 ​ ⋮ u M ​ v M ​ DeepL 翻译    输入 输入内容由标准输入法提供,格式如下 N M u 1 ​ v 1 ​ u 2 ​ v 2 ​ ⋮ u M ​ v M ​    Output Print the number of operations that need to be performed to make the graph bipartite. DeepL 翻译    输出 打印将图形变为两部分所需的操作数。    Sample Input 1 Copy 5 8 1 2 1 3 1 4 2 3 2 5 3 4 3 5 4 5 DeepL 翻译    输入样本 1 5 8 1 2 1 3 1 4 2 3 2 5 3 4 3 5 4 5    Sample Output 1 Copy 2 You can make the graph bipartite by deleting two edges: for example, the edge connecting vertices 1 and 3, and the edge connecting vertices 3 and 5. It is impossible to make the graph bipartite by performing one or less operations, so print 2. DeepL 翻译    样本输出 1 2 您可以通过删除两条边来使图形变成两部分:例如,删除连接顶点 1 和 3 的边,以及删除连接顶点 3 和 5 的边。 只进行一次或更少的操作是不可能使图形变成两部分的,因此打印 2。    Sample Input 2 Copy 2 1 1 2 DeepL 翻译    输入样本 2 2 1 1 2    Sample Output 2 Copy 0 The graph is bipartite from the beginning. Thus, the number of operations that need to be performed is 0. DeepL 翻译    输出示例 2 0 该图从一开始就是二叉图。因此,需要执行的操作数为 0 。    Sample Input 3 Copy 10 20 5 9 1 4 3 8 1 6 4 10 5 7 5 6 3 7 3 6 5 10 1 3 3 4 6 7 1 2 4 7 1 5 1 9 9 10 4 5 8 9 DeepL 翻译    输入样本 3 10 20 5 9 1 4 3 8 1 6 4 10 5 7 5 6 3 7 3 6 5 10 1 3 3 4 6 7 1 2 4 7 1 5 1 9 9 10 4 5 8 9    Sample Output 3 Copy 5 DeepL 翻译    输出示例 3 5
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