blocks|key|3038740|text|对我来说，我认为这是一种天赋，但更重要的是经验和实践。如果你知道很多问题和最好的解决方案，你可以更容易地想出一个新问题的解决方案。|type|unstyled|depth|inlineStyleRanges|entityRanges|data|3038741|我自己过去的例子:有一些编程竞赛(顺便说一句，对培训很好)，但我没有找到一个好的解决方案。获胜者主要通过使用KD-Tree来解决问题。要实现这一点，您首先需要知道KD-Tree是什么，以及它在哪里有用。今天，这一点对我来说很清楚，如果我再次遇到类似的问题，我将能够非常快地解决它。|3038742|entityMap^0|0|0^^$0|@$1|2|3|4|5|6|7|F|8|@]|9|@]|A|$]]|$1|B|3|C|5|6|7|G|8|@]|9|@]|A|$]]|$1|D|3|-4|5|6|7|H|8|@]|9|@]|A|$]]]|E|$]]

For me, i think it's a bit talent, but much more important is experience and practice. If you know many problems and the best solutions to them, you can come up more easily with a solution to a new problem.

Example from my own past: There was some programming contest (good for training, btw) and I did not find a good solution. The winner solved the problem mainly by using a KD-Tree. To come up with this, you first of all need to know what, in this case, a KD-Tree is, and where it's useful. Today, this is clear to me and if i'd encounter a similar problem again, i'd be able to solve it really quickly.

blocks|key|3253051|text|1)不要试图以最一般的抽象来解决问题。|type|unstyled|depth|inlineStyleRanges|entityRanges|data|3253052|2)选择你的大脑处于最大工作状态的正确时间。|3253053|我从一位数学老师那里得到了第一点建议。它起作用了!试着做不同的例子和问题的场景。这极大地有助于识别在大多数问题中最难理解的边缘情况。|3253054|我最喜欢的解决这类问题的时间是黎明(凌晨4点到6点)。前一天晚上睡个好觉，然后醒来准备解决问题。|3253055|我确实相信有些人比其他人有额外的智慧，但这不是最重要的因素。这是你如何利用这种智能来解决问题。|3253056|entityMap^0|0|0|0|0|0^^$0|@$1|2|3|4|5|6|7|L|8|@]|9|@]|A|$]]|$1|B|3|C|5|6|7|M|8|@]|9|@]|A|$]]|$1|D|3|E|5|6|7|N|8|@]|9|@]|A|$]]|$1|F|3|G|5|6|7|O|8|@]|9|@]|A|$]]|$1|H|3|I|5|6|7|P|8|@]|9|@]|A|$]]|$1|J|3|-4|5|6|7|Q|8|@]|9|@]|A|$]]]|K|$]]

1) Don't try to solve the problem in its most general abstraction. 
2) Choose the right time when your mind is working at maximum.

I got the first point as an advice from a math instructor. It works! try to do different examples and scenarios of the problem. This helps greatly in identifying the edge cases which are the hardest to understand in most problems.

My favorite time for solving this kind of problems is the dawn(4-6 AM). Have a good sleep the night before, and wakeup ready to solve the problem. Silence is your friend.

I do believe that some people have extra intelligence than others, but it is not the most important factor. It is how you utilize this intelligence to solve the problem.

blocks|key|3038864|text|当我12岁的时候，我在一个小组环境中学习了魔术课程。魔术师的名字是乔·卡洛塔。有一次他变了个魔术，我脱口而出：“你怎么做到的？”他那天说了一些话，从那以后一直让我难忘。|type|unstyled|depth|inlineStyleRanges|entityRanges|data|3038865|乔回答说：“迈克尔，如果你真的想知道这个技巧是怎么做到的，你必须弄清楚你自己会怎么做。”|3038866|当然，这不是我想听到的，但它确实让我的注意力集中在解决问题上。从我的角度来看，这是解决问题的方式。如果我第一次尝试解决这个问题需要17个步骤，而且真的很古怪，那么好消息是我解决了这个问题。|3038867|然后，通过查看我开发的解决方案，并进一步寻找改进该解决方案的方法，我将学习如何简化最终结果。后来，在我的计算机编程生涯中，我发现这个过程被称为"Stepwise+Refinement“。|3038868|它早在1971年就起作用了，今天仍然有效。|3038869|entityMap^0|0|0|0|0|0^^$0|@$1|2|3|4|5|6|7|L|8|@]|9|@]|A|$]]|$1|B|3|C|5|6|7|M|8|@]|9|@]|A|$]]|$1|D|3|E|5|6|7|N|8|@]|9|@]|A|$]]|$1|F|3|G|5|6|7|O|8|@]|9|@]|A|$]]|$1|H|3|I|5|6|7|P|8|@]|9|@]|A|$]]|$1|J|3|-4|5|6|7|Q|8|@]|9|@]|A|$]]]|K|$]]

I took magic lessons in a group setting when I was twelve years old. The magician's name was Joe Carota. He did a magic trick one time and I blurted out, "How did you do that?" He said something that day that has stuck with me ever since.

Joe's response, "Michael, if you really want to know how that trick is done you must figure out how you would do it yourself."

Well of course that's not what I wanted to hear but it did get my mind focused on problem solving. This was problem solving from my perspective. If my first attempt at solving the problem took seventeen steps and was really klunky, the good news was I solved the problem. 

Then by looking at the solution I had developed and further looking for ways to refine that solution I would learn how to streamline the end result. Later on in my computer programming life I found out that this process was called "Stepwise Refinement".

It worked back in 1971 and it still works today.

blocks|key|3038892|text|我花了我生命中的很大一部分时间来思考才能到底是后天养成的，还是与生俱来的。然后我突然意识到答案是无关紧要的，至少如果你想自己实现目标的话。即使你有天分，如果你表现得好像天资只来自实践，那也只会对你有帮助，因为你会更加努力地工作。|type|unstyled|depth|inlineStyleRanges|entityRanges|data|3038893|关于算法，以及其他任何真正困难的技能，需要练习才能变得更好。我不知道你是否也要有一些才华。然而，我确实知道，人们通过练习在像TopCoder这样的比赛中取得了巨大的进步。我自己也从中学到了很多。|offset|length|3038894|如果你建立了一个系统的培训计划，即使它不是完美的，你也会走在前面。到目前为止，我已经在TopCoder上写了几百个程序，它深刻地影响了我的思维。我学到了很多东西，这些东西只有通过犯错然后改正错误才能学到。我的一个朋友已经在TopCoder上写了几千个程序，他比我强得多，尽管他刚开始的时候数据比我差。这不是巧合。|3038895|编辑：|3038896|我刚在math.stackexchange遇到了this+answer。我认为这是我读过的关于如何学习算法的最好的解释之一，尽管他写的是国际象棋和数学。|3038897|entityMap|0|LINK|mutability|MUTABLE|url|http://www.topcoder.com/|1|https://math.stackexchange.com/questions/33656/whats-better-strategy-to-handle-tons-of-formulas-definitions/33987#33987^0|0|1Q|8|0|0|0|0|O|B|1|0^^$0|@$1|2|3|4|5|6|7|V|8|@]|9|@]|A|$]]|$1|B|3|C|5|6|7|W|8|@]|9|@$D|X|E|Y|1|Z]]|A|$]]|$1|F|3|G|5|6|7|10|8|@]|9|@]|A|$]]|$1|H|3|I|5|6|7|11|8|@]|9|@]|A|$]]|$1|J|3|K|5|6|7|12|8|@]|9|@$D|13|E|14|1|15]]|A|$]]|$1|L|3|-4|5|6|7|16|8|@]|9|@]|A|$]]]|M|$N|$5|O|P|Q|A|$R|S]]|T|$5|O|P|Q|A|$R|U]]]]

I spent a big part of my life wondering whether talent was something you developed or something you were born with. Then it occurred to me that the answer was irrelevant, at least if you want to achieve things yourself. Even if you have talent, it will only help you if you act as if talent only comes from practice, because you will work that much harder.

With regards to algorithms, as well as any other really difficult skill, it takes practice to get good. Whether or not you have to have some amount of talent too, I don't know. I do know for a fact, however, that people have made huge improvements in competitions like <a href="http://www.topcoder.com" rel="noreferrer">TopCoder</a> by practicing. I myself have learned a lot from that.

If you set up a systematic training program, you will be way ahead of the pack, even if it is not perfect. I have written a few hundred programs on TopCoder by now and it has affected my thinking in a profound way. I have learned a lot of things that could only ever be learned by doing them wrong and then fixing my mistake. A friend of mine has written several thousand programs on TopCoder and he is way better than I am, even though his stats were worse when he started out than mine were. That is no coincidence.

EDIT:

I just came across <a href="https://math.stackexchange.com/questions/33656/whats-better-strategy-to-handle-tons-of-formulas-definitions/33987#33987">this answer</a> at math.stackexchange. I think it is one of the best explanations of how to learn algorithms I have read, even though he writes about chess and math.

blocks|key|3038919|text|已经有很多人拥有非凡的天赋，但却只取得了很小的成功。你在体育、政治、商业以及你周围的其他地方都能看到这样的例子。所以，我觉得在达到一定限度后，才能是一种毫无意义的美德。让你获得更大成功的主要是那些艰难的词。如果你关注cricket，here就是一个很好的例子。我觉得同样的原则也适用于算法和问题解决。一年前，我用来解决算法问题，结果发现自己完全迷失了方向。我花了一年的时间阅读算法书籍，解决它的练习，还练习了更多的编程问题，我相信现在我可以解决大多数问题(我在提高自己的效率方面还有很长的路要走)。但重点是，聪明的工作足以培养解决问题的诀窍。|type|unstyled|depth|inlineStyleRanges|entityRanges|offset|length|data|3038920|entityMap|0|LINK|mutability|MUTABLE|url|http://www.youtube.com/watch?v=LHVtNZeBuXM^0|38|4|0|0^^$0|@$1|2|3|4|5|6|7|L|8|@]|9|@$A|M|B|N|1|O]]|C|$]]|$1|D|3|-4|5|6|7|P|8|@]|9|@]|C|$]]]|E|$F|$5|G|H|I|C|$J|K]]]]

There have been many examples of people having extraordinary talent with minimum success. You see such examples in sports,politics,business and also in general around you. So, I feel after a certain limit, talent is a meaningless virtue. Its mostly the hard word that rewards you with greater success. If you follow cricket, <a href="http://www.youtube.com/watch?v=LHVtNZeBuXM" rel="nofollow">here</a> is a link with good example.
I feel same principle applies to algorithm and problem solving. An year back I use to pick up algorithmic problems to solve and used to find myself completely lost. An year invested in reading algorithmic books, solving its exercises and also practicing some more programming problems, I am confident that now I can solve most problems ( I still have a long way to go in making myself efficient in it). But the point is smart work is enough to develop this knack of solving problems.

blocks|key|306047|text|如果不努力，人才是廉价的，也是无用的。天赋只能在一定程度上带给你，但只要勤奋和练习，任何人都可以达到高峰。|type|unstyled|depth|inlineStyleRanges|entityRanges|data|306048|306049|乔什·维茨金，8次全国国际象棋冠军，13次全国冠军和2次世界冠军|unordered-list-item|306050|306051|他自己在Chessmaster+Grandmaster+Edition的声音中说了这句话|offset|length|306052|entityMap|0|LINK|mutability|MUTABLE|url|http://www.amazon.co.uk/Chessmaster-Grandmaster-Edition-PC-DVD/dp/B001F50TAK^0|0|0|0|0|4|V|0|0^^$0|@$1|2|3|4|5|6|7|S|8|@]|9|@]|A|$]]|$1|B|3|-4|5|6|7|T|8|@]|9|@]|A|$]]|$1|C|3|D|5|E|7|U|8|@]|9|@]|A|$]]|$1|F|3|-4|5|6|7|V|8|@]|9|@]|A|$]]|$1|G|3|H|5|6|7|W|8|@]|9|@$I|X|J|Y|1|Z]]|A|$]]|$1|K|3|-4|5|6|7|10|8|@]|9|@]|A|$]]]|L|$M|$5|N|O|P|A|$Q|R]]]]

Talent is cheap and useless without hardwork. Talent can only take you to some extent, but with hardwork and practice anybody can reach great heights 
- Josh Waitzkin, 8-time National Chess Champion, a 13-Time National and 2-time World Champion 
 
He himself says this in his voice over in <a href="http://www.amazon.co.uk/Chessmaster-Grandmaster-Edition-PC-DVD/dp/B001F50TAK" rel="nofollow">Chessmaster Grandmaster Edition</a>

blocks|key|305195|text|如果人才不努力工作，|type|unstyled|depth|inlineStyleRanges|entityRanges|data|305196|勤奋就会击败人才。上面的这句话定义了持久化is.Any技能在这个世界上真正的潜力可以通过practice.This过程来开发类似于在wall.It中钉钉子不仅需要正确的大小而且需要适当的方向。|blockquote|305197|305198|entityMap^0|0|0|0^^$0|@$1|2|3|4|5|6|7|H|8|@]|9|@]|A|$]]|$1|B|3|C|5|D|7|I|8|@]|9|@]|A|$]]|$1|E|3|-4|5|6|7|J|8|@]|9|@]|A|$]]|$1|F|3|-4|5|6|7|K|8|@]|9|@]|A|$]]]|G|$]]

<blockquote>
 Hardwork beats talent if talent doesn't work hard.
 This above statement defines what the true potential of persistence is.Any skill in this world can be developed by practice.This process is analogous to nailing a nail in the wall.It not only requires correct magnitude but also appropriate direction.
</blockquote>

blocks|key|3039010|text|要回答这个问题，首先我们需要找到解决问题的能力的要素。|type|unstyled|depth|inlineStyleRanges|entityRanges|data|3039011|3039012|有一种所谓的天赋。这是你与生俱来的天赋。这预先决定了你的潜力。与生俱来拥有更多灰质的人往往比大自然对他们不那么慷慨的人表现得更好。这意味着，如果有相同的参数(教育，个性，对压力的抵抗力，意志力)，有更好的天赋的人比没有天赋的人有更高的机会表现得更好。如果一个人观察到他或她倾向于花费大量的时间来吸收新的信息，直到他或她能够应用它，那么对这个人来说，最明智的决定是离开编程，防止生活充满挫折。当然，作为初学者不能期望能够立即理解最复杂的现象，但如果初学者理解初学者的概念太慢，那么编程不是他或她喜欢的。|ordered-list-item|3039013|开发了才华。一个人有天赋，但这本身并不足以解决问题。我从来没有见过新生儿写代码。一个人必须接受一些教育。越早越好。此外，学校的质量也很重要。我们永远不应该否认这样一个事实，一个人如果没有机会早早地在一所好的学校学习编程，那么他或她在成功的竞赛中就是一个障碍。然而，如果有人很早就错过了好的学校，那么这个障碍就可以通过努力学习来弥补。例如，我的妻子受过另一个领域的教育，但在大学毕业后，她没有找到合适的工作。所以我开始教育她。一个月后，她学会了如何学习，并能够解决几乎所有向她提出的问题，但她还没有奏效。她逐渐开始以自学的方式学习。一年后，她已经是一名专业的程序员了。她没有学校的论文可以编写代码，但她正在做一项出色的工作。因此，她错过了早期的教育，但后来能够中和障碍。开发人才可以被描述为学习和了解的信息的集合，加上正确的态度，科学地对待新型challenges.|3039014|Practice:实践有利于提高开发人才的水平，但它不应该是开发人才的唯一来源。随着实践，理论视野必须定期expanded.|3039015|Working战略:一个人可以非常有才华，可以有很多知识。如果他或她没有正确的工作策略，那么他或她就有障碍。无论何时给出一项新任务，都应该提出正确的问题：|3039016|3039017|-+what+was+the+closest+task+to+this+one?+Can+I+reuse+my+solution+to+an+extent?
-+what+should+I+learn+to+be+able+to+solve+this+problem?
-+how+can+I+write+clear+and+efficient+code+to+solve+the+problem?|code-block|syntax|javascript|3039018|​|3039019|所以答案是:尽管尽早接受良好的教育是好的，但这并不是必要的。不要忘记，生活是最好的学校，如果你有才华、意志力和信息来源，你可以在以后弥补失去的机会。实践不仅向你展示了解决问题的正确步骤，它还开阔了你的视野。例如，如果一个人了解数字系统，那么他或她稍后将能够理解各种事物，比如CSS、PSD或数字溢出中的颜色。如果一个人学会了如何用Java编程，那么他或她将很快就能理解C#。因此，实践给你提供了关于给定问题类型的解决方案的知识，同时也提供了新的理论知识，这些知识在各个领域都很有用。一个人必须发展的核心技能是快速学习的能力。|3039020|entityMap^0|0|0|0|0|0|0|0|0|0|0^^$0|@$1|2|3|4|5|6|7|X|8|@]|9|@]|A|$]]|$1|B|3|-4|5|6|7|Y|8|@]|9|@]|A|$]]|$1|C|3|D|5|E|7|Z|8|@]|9|@]|A|$]]|$1|F|3|G|5|E|7|10|8|@]|9|@]|A|$]]|$1|H|3|I|5|E|7|11|8|@]|9|@]|A|$]]|$1|J|3|K|5|E|7|12|8|@]|9|@]|A|$]]|$1|L|3|-4|5|6|7|13|8|@]|9|@]|A|$]]|$1|M|3|N|5|O|7|14|8|@]|9|@]|A|$P|Q]]|$1|R|3|S|5|6|7|15|8|@]|9|@]|A|$]]|$1|T|3|U|5|6|7|16|8|@]|9|@]|A|$]]|$1|V|3|-4|5|6|7|17|8|@]|9|@]|A|$]]]|W|$]]

To answer the question, first we need to find the ingredients for the capability to solve an issue.

<ol>
<li>There is a so-called natural talent. This is the talent you are born with. This predetermines your potential. People born with more gray matter will tend to perform better than people with whom nature was less generous with. This means that a person having better talent has a higher probability to perform better than a person not as talented if they had the same parameters (education, personality, resistance to stress, willpower). If one observes that he or she tends to consume a great time to absorb new information until he or she is able to apply it, then the wisest decision for the person is to leave programming and prevent a life full of frustration. Naturally, one cannot expect as a beginner to be able to instantly understand the most complex phenomenon, but if a beginner is too slow to understand beginner concepts, then programming is not his or her cup of tea.</li>
<li>Developed talent. One has a natural talent, but that is, in itself not enough to solve problems. I have never seen newborns writing code. One has to get some education. The earlier, the better. Also, the quality of school is of high importance. We should never deny the fact that a person who did not have the chance to learn programming at a good school early, then he or she has a handicap in the race for success. However, if someone misses good schools early, then the handicap can be covered with hard work. For instance, my wife had an education in another field, but after finishing the university, she did not find proper jobs. So I started to educate her. After a month she learned how to learn and was able to solve almost any problems presented to her, but she was not yet effective. She gradually became to start learning in auto-didacting manner. After a year she was already a professional coder. She does not have a paper from a school that she can code, but she is doing a fantastic job. So, she missed early education, but was later able to neutralize the handicap. Developed talent can be described as the set of information learned and known, along with the right attitude, the scientific approach to new types of challenges.</li>
<li>Practice: Practice is good to increase the level of developed talent, yet, it SHOULD not be the sole source of developing talent. Along with practice, the theoretical horizons must be regularly expanded.</li>
<li>Working strategy: One can be extremely talented, can have a lot of knowledge. If he or she does not have a right working strategy, then he or she has a handicap. Whenever a new task is given, the right questions should be asked:

<ul>
<li>what was the closest task to this one? Can I reuse my solution to an extent?</li>
<li>what should I learn to be able to solve this problem?</li>
<li>how can I write clear and efficient code to solve the problem?</li>
</ul></li>
</ol>

So the answer is: while it is good to have excellent education as early as possible, it is not necessary. Do not forget, that life is the best school and you can recuperate the lost opportunity later if you have talent, willpower and source of information. Practice is not only showing you the right steps to solve a problem, it also widens your horizons. For instance, if one understands number systems, then he or she will be able to understand a variety of things later, like colors in CSS, PSD, or number overflows. If one learns how to code in Java, then he or she will understand C# very quickly. So, practice is giving you knowledge about the solution to a given problem type, but also, gives new theoretical knowledge which will be useful in various areas. The core skill one has to develop is the ability to learn quickly.

Every time I start a hard problem and if can not figure out the exact solution or can not get started, I get into this never ending discussion with myself, as below:

<ul>
<li>That problem
solving/mathematics/algorithms skills
are gifted (not that you can learn
by practicing, by practice, you only
master the kind of problems that you
already have solved before) </li>
<li>only those who went to good schools can do it, as they learned it early.</li>
</ul>

What are your thoughts, can one achieve awesomeness in problem solving/algorithms just by hard work or you need to have that extra-gene in you?

Problem solving/ Algorithm Skill is a knack or can be developed with practice?

翻译质量差，导致语言生硬或混乱。

没有提供实际的解决方法或示例。

解答不清晰，无法理解或解决问题。

页面排版不美观，阅读体验差。

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每次我开始一个难题，如果找不到确切的解决方案或不能开始，我就会和自己进行这个永无止境的讨论，如下所示：解决问题/数学/算法的技能是天赋的(不是说你可以通过练习学习，而是通过练习，你只能掌握你以前已经解决的那种问题)只有那些上过好学校的人才能做到，因为他们很早就学会了。你的想法是什么，一个人仅仅通过努力工作就能在解决问题...

问解决问题/算法技能是一种诀窍，还是可以通过实践来发展？
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问解决问题/算法技能是一种诀窍，还是可以通过实践来发展？EN