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The Trojan War has been raging for 10 years, with neither Greeks nor Trojans prevailing.
特洛伊战争已经肆虐了十年，希腊人和特洛伊人都没有占据上风。
Gods and humans alike are desperate for a break, so when a divine omen races across the sky, the two sides agree to a 10 day truce.
上帝和人类都极度渴望休息，所以当天空中划过一道圣兆时，战争的双方达成共识，休战十天。
From high up on Olympus you've been waiting for an opportunity to bring this bloody war to its conclusion.
在高高的奥林匹斯山上，你一直在等待一个能够结束这场残酷战争的机会。
When you go to consult the Fates, they advise: should the peace last for a full 10 days, all will end soon.
你去向命运三女神求助，她们说道：如果和平能够持续整整十天，那么一切都会很快结束。
However, if the truce is broken, the ensuing battle will lead to 10 more devastating years of war.
然而，如果休战被打断，那么接下来将迎来十年更具毁灭性的战争。
The Fates' loom has shown them the exact conditions that will keep the truce intact.
命运三女神的织布机显示了能够维持这次休战的具体条件。
The great Trojan plain can be viewed as a grid of Greek and Trojan encampments.
特洛伊大平原可被视为希腊和特洛伊人营地的网格。
If they're organized in such a way that any Greek can reach any other Greek camp without having to pass through a Trojan camp,
如果网格的排布能使任何一个希腊人可以不用经过特洛伊营地就到达另一个希腊营地，
and likewise for Trojans, plus neither side completely surrounds the other, peace will prevail.
而特洛伊人也同样如此，同时双方的营地都没有被对方完全包围时，和平就可以持续下去。
Anyone can move to a horizontally or vertically adjacent camp, but never diagonally. The problem is, they're currently arranged like this.
任何人都可以到达水平或垂直相邻的营地，但不能走对角线。问题是，营地现在是这样排布的。
Tonight, you can use your powers to swap up to six pairs of camps that are horizontally, vertically, or diagonally adjacent.
今晚，你可以用你的力量去交换最多六对水平、垂直或者对角线相邻的营地。
No camp can be moved more than once. Which swaps do you make to keep the peace?
每个营地只能被移动一次。为了维持和平，你会选择哪些营地进行交换？
The first insight here is to divide this into two sub-problems.
这个问题可以先被划分成两个子问题。
There's the matter of connecting 4 clumps of Greeks without putting holes in the Trojan line.
首先要在不打断特洛伊营地线的同时把四大块希腊营地连接起来。
And then there's dealing with the thorny center space. Let's consider the Greeks first.
然后是处理棘手的中心区域。让我们先来考虑希腊营地。
To connect any Greek clumps, you'll have to mess with the nice, straight Trojan lines.
要想把任何两大块希腊营地连接起来，都要打断那些漂亮笔直的特洛伊营地线。
If you try to do that anywhere in the center of these arms, you'll create new isolated clusters of Trojans.
如果你试图在四条营地线的中间位置这样操作，你会创建出一块孤立无援的特洛伊营地群。
So the only option is to go to the perimeter of the field and move some Trojans diagonally, say here, here, and here.
所以唯一的选择就是移动末端的营地，对角线移动一些特洛伊营地，比如这里、这里和这里。
Now for the center. There's no way to connect the Trojan arms without swapping a Trojan in.
现在来看中心区域。不把特洛伊营地换进来，就无法连接特洛伊营地线。
But continuing to shift that arm of Trojans inward would require moving the same Greek camp multiple times.
但如果继续把这一端的特洛伊营地向内移动，就需要多次移动同一个希腊营地。
However, you could shift the whole Trojan arm up and to the right, closing this gap.
然而，你可以将这一端的特洛伊营地整体向右上方移动，把空缺补齐。
There are several solutions with slight variants, but as long as you perform this maneuver on the short arm of Trojans, you can achieve peace in exactly 6 moves.
有几种略微不同的解决方案，但只要你在特洛伊营地线较短的那一端执行这个操作，就可以用刚好六次移动来获得和平。
You make the swaps and all is well until the fifth night.
你交换了营地，一切顺利，直到第五个晚上。
One of your rival gods wants to see the bloodshed continue, and has taken advantage of a forgotten prophecy.
你的一个敌对神想让这场血腥之战继续下去，利用了一个被遗忘的预言。
He's convinced one Trojan camp to make a swap with their horizontal, vertical, or diagonal Greek neighbors that will break up the Greek connectivity.
他说服了一个特洛伊营地与同它水平、垂直或对角线相邻的希腊营地进行交换，这个交换会打破希腊营地的内部联结。
Once again, you consult the Fates, who prophesize the following: the meddling Trojan camp is somewhere within four grid spaces of the perimeter of the battlefield.
你再一次向命运三女神求助，她们预言了以下内容：捣乱的那个特洛伊营地就在距离战场边缘四格的范围内。
They won't go through with a swap if it only breaks up Trojan connectivity.
如果只是中断特洛伊营地的连接，他们就不会进行交换。
And finally, you can make at most two swaps with the same rules as before to thwart them.
最后，你最多可进行两次交换去阻止它，其余的规则都和之前一样。
Which swaps do you make to block the troublesome Trojan camp?
为了阻碍那个捣乱的特洛伊营地，你会选择哪些营地进行交换？
You won't be able to identify the scheming camp precisely, but there's a lot you can do to at least narrow down the options.
你无法准确地识别出那个密谋的营地，但你至少可以缩小选择的范围。
They have to be somewhere in this area. And they have to be able to block Greek camps from each other in a single swap.
那个营地一定在这个区域内。它只进行一次交换就能够打断希腊营地之间的联系。
That doesn't leave many options; the only possible blockages are at the end of these two arms, where a Trojan camp could plug a hole without opening a new one.
这样一来，剩余的选择可就不多了，唯一可能造成阻碍的营地就在这两翼的末端，在这里，特洛伊营地可以把两块希腊营地隔开，同时不产生新的连接点。
So they must be in one of these four camps. Let's look at the right arm first. There's a threat here because this column has two Trojan camps.
所以捣乱的那个营地一定在这四个之中。我们先来看右端。这一列有两个特洛伊营地可能会造成威胁。
If one moves to the right, the other will still be in place, blocking Greeks from crossing.
如果一个营地向右移动，另一个即使留在原地，也仍旧可以将希腊营地隔开。
So we can thwart them by moving either one a column left into this square, and the same principle applies to the bottom arm.
为了阻止，可以把这两者之一向左移动一列，放在这里，这个原理同样适用于下端的营地。
Your effort maintains the peace for the final 5 days. But it seems that a certain Greek general noticed what was happening and left the Trojans a parting gift...
你的付出维护了最后五天的和平。但似乎有一位希腊将军注意到了这件事，并给特洛伊人留下了一个告别礼...
