移动对 [英] moving pairs
问题描述
我看到有关网格对拼图问题的一些有趣的事情，
I saw something interesting about a grid pair puzzle problem that
可能很有趣。
它是'问题在网格中你说任意大小的那么多是
对。
| 1a | 2a | 3a |
| 2b | 1a | 3b |
| 4a | 4b | 5a |
| 6a | 5b | 6b |
做出一个动作就是让对方的另一个移动到同一时间，但要解决它先行动的地方就是弄清楚每一个方向
它可以解决，直到你知道最后一个移动到第一个选择移动的人来自哪里。一个递归问题通常说。
对每次移动都会切换。
如果我认为每个人都可以移动所有参与移动，并且
对于每一个它们重叠必须移动的相关部分。所以，如果
你
以某种方式绘制每一个都可以解决所有必须移动
在一起你在哪里说你可以如何解决其他的
解决方法的方式是一起但是所有解决的问题
与它们如何解决它一起使它看起来像一台机器
可以移动。
所以如果我选择一个来移动它如何解决移动并绘制它是如何看待现在通过看到
看起来他们现在如何解决，看起来如果这是一台
的机器整个机器已经重新安排在哪里如果你选择一个
移动作为机器的一部分移动，整个机器是
移动
到机器的那部分移动的地方。这是为了画出他们如何再次解决
。
似乎可以让整机说在
板上配对
移动到整个机器可以进入任何位置的机器移动的任何部分。比如，它似乎解决了整个机器。
所以想出这些机器中的机器是一台有效的机器，
见
它解决的问题与解决其他解决方案的问题重叠如何使用
同样涉及如何移动。
看到它如何再次绘制，如果一个人移动了整个机器，那么移动的那部分机器移动的地方就会移动。
喜欢，它似乎让整个机器说它已经运行了
而且。
看起来像网格中的对可以说任何机器都可以按照它们的方式排列，就像每一个解决方式的方法都使用相同的部分来解决方式，所以它看起来像是如何解决它们和其他部分一起组合在一起和其他部分一起。
并且移动一个解决它的方式就是再看一遍
他们如何一起解决一个问题新的方式，看起来整个
机器已经移动了它移动的方式，只需要你想要移动的部分
机器。
看起来任何可以表达问题的机器都可以用
说成对，机器还没有移动但是在
原始
的位置，但是在一个完全不同的位置它可以进入，
只是移动一个解决。坚持他们如何重新安排和
再次移动它们总是与机器相同的部分，因为
休息
与方式不同他们解决了但是作为机器的其余部分，
方式移动连接移动的部分。
任何人都可以支持这看起来如何工作？
might be interesting.
it''s the problem where in a grid any size you say so many that are
pairs.
|1a|2a|3a|
|2b|1a|3b|
|4a|4b|5a|
|6a|5b|6b|
to make one move is to make the other of the pair move at the same
time, but to solve where it can move first is to figure out every way
it can be solved until you know the last one to move where the first
one chosen to move comes from. a recursive problem said usuallly. the
pairs switch each move.
if I figure each to be able to move with all involved in moving, and
for each they overlap the involved pieces that have to move. so if
you
draw somehow how each can be solved with all that have to move
together where you say together with how you can solve the other ones
the way where each that solves a way is together but all that solve
are together with how they solve it makes what looks like a machine
that can move.
so if I pick one to move how it can be solved to move and draw how it
looks now by seeing how they solve now, it looks like if this were a
machine the entire machine has been rearranged where if you pick one
to move as the part of the machine to move, the whole machine is
moved
to where that part of the machine moved. that''s to draw how they
solve
again.
it seems to be able to make a whole machine said with pairs on a
board
move to any position the whole machine can be in for any part of the
machine moved. like, it seems to solve a whole machine .
so figure a machine out of these pairs to be a machine that works,
see
it in how the ones that solve overlap the other ones that solve to
use
the same involved in how any can move.
see it in how it draws again, it''s the whole machine moved if one is
moved where it would be for that part of the machine moved.
like, it seems to make the whole machine say it''s been running for a
while.
it looks like pairs in a grid can say any machine the way they can be
arranged, like each one that solves a way uses the same pieces as the
others that solve a way, so it looks togther as how they solve as
pieces together and other pieces together, together with eachother.
and to move one that solves any way that it does is to see all over
again how they solve together a new way, and it looks like the whole
machine has moved the way it is to move where only the part of the
machine you want moves.
it seems like any machine that can express a problem to solve can be
said with pairs, where the machine hasn''t moved yet but is in
original
position, but then in a completely different position it can be in,
just be moving one that solves. sticking with how they rearranged and
moving them again always is the same part of the machine, for the
rest
to be different the way they solve but as the rest of the machine the
way it''s moved connected the part moved.
can anyone back up how this seems to work?
它看起来像一台机器，当你发现每台机器都按照它的方式工作时，它会与所有其他的机器一起工作他们这样做的方式
一起重叠常见的部分，但说连接每个工作
连接，但连接在一起它与其他人连接
已连接。整个机器连接在一起是一个条件，机器在一起，作为机器所处位置的所说内容的补充说明。
。机器中循环的方式是什么？b $ b除非整个机器的设定位置是
，否则循环就不会自行循环可以继续前进。一组一对一起制作出来的
一起作为不同大小的套装说起来就像
一样重要的是重要的是重要的事情
for eachother。除非你看到
，否则很难将它识别为机器。作为一起工作的对在一起的是什么，对于重要的是什么来说重要的是机器在哪里？
at。所以机器输入对机器输出很重要。永远
机器输入，使输出的差异是一起计算出来的对。
。机器开始和机器结束。如果它是作为一台机器重新开始，那么机器就可以重新开始。
机器。非常重要的是试图将其识别为机器，因为它很难看到。因此，如果你移动一起工作的对子
他们可以移动的方式，再看看他们的工作方式和
他们如何分享对另一个方式也是。如何将它视为
同一台机器将再次翻转但尝试不同的方式。任何机器都可以说成对。因为你可以用双b / b
也说这个，考虑到它们是如何设置的，这是一种让他们在哪里的方式
他们中的任何一个都说他们的方法可以对于其他对如何计算，以及如何安排其他对，以任何
的方式说不同。
任何机器总是拥有它所以机器的大部分移动
任何方式它都可以将它可以传递到一个较小的部分。
所以较小的部分以任何方式移动使得更大的部分移动方式。
因为任何条件都可以。
移动配对问题我找不到网页。它是在一块
板上你以任何方式设置对（但是说一台有效的机器）
就像在哪里
| 1 | 1 | 2 | 2 |
| 3 | 4 | 3 | 4 |
| 5 | 5 | 6 | 6 |
| 7 | 8 | 8 | 7 |
和每个数字相同是一对，现在看到对移动，每个数字
一起移动与另一方同时进行。有一个答案
可以，但通常会有一个递归问题找到它。它可以在哪里移动它可以移动到哪里，但它可以因为结果已知
最后一对移动到第一对离开的位置。但是
对每次移动都会切换到它们去的地方，不是同一对但是
a不同的对与每个可以配对的地方配对
它离开了什么地方。
所以
| 1 | 1 |
| 2 | 2 | -2和2是2和1，而1和1是2和1另一种方式。
选择任何和相同但另一种方式。移动并再试一次，它会转过来。机器的想法是在开始然后结束，然后再次开始
。因为这就是所有这台机器。
让我看起来更好吗？
它是一台机器。怎么看。看看他们如何计算出更大的设置
每对一对，另外一对，他们这样做。所以看看你认为每个
对的结果与其他人的工作方式相同
out。他们这样做了。
所以画画，画出来让他们一起锻炼，其他人一起锻炼
一起展示它们如何以它的方式运作作为
在一起，与其他一对一起工作，作为一个
的东西在一起。一起做任何事情，其中任何一对使用
其他对可以移动的方式是与其他对一起可以
一起自己一起锻炼，但与另一个
对重叠相同的一对，但是完全相同。
尽管如此。
现在看作是一台机器。可以像任何机器一样工作的机器。一台
机器启动并重新开始。这是一台
的机器。它取决于你如何设置
对，这是你想要的任何一台机器。找到一对可以移动和移动的东西，再看看它是一台机器又是另一种方式。它是。看看它是什么？这是整个机器
另一种方式。机器的一部分移动的地方，整个机器
像那个部分移动一样移动。确实如此。
这样的机器显示连接条件，条件是
恭维机器位置。不喜欢看到一个循环里面的循环它是自己的，但它们在一起。
它是一台整机，任何一台机器。一台机器就像它可以说它可以是任何其他方式。它是一台看起来像一台机器的机器
当你看到重要的是什么时候重要的事情，因为它就像开始成对的一样一起工作，而不是像下一个机器位置那样
就在下一个机器位置，那就是你看到的那台机器不是一台机器。
尝试制作一台机器，你看到它们一起工作和其他人
这样做，一起工作的那对就像是循环那个
开始是在哪里循环结束，因为它是一台整机
机器。一整个机器总共有一个位置，
一个位置。像任何一台机器。这是真的。
作为一台机器绘制对，但看它是一台机器。因为它是一台
的机器。当你一起移动时再看一遍
并再次看到它，但现在把它看作整个机器的不同
位置，所有这一切都是，因为这是机器的一部分
使机器的其余部分可以用于
机器的那一部分。它不像是将机器移动一步，就像在一个地方移动
一样，所以尝试一个简单的地方来移动它们对的地方
it在机器的一部分，显示了
机器的其余部分应该是多么简单。当你移动那个部分时它就是整个机器
那部分被移动的东西看起来不同，它就是整个机器
设定的位置。在其间工作的位置设置位置，其余部分
的位置与该位置的设置方式不同。
再次看到整个机器如此仔细，同一台机器，但完全不同，因为它完全设置在不同的b
位置。就像一台直到它到位的机器一样，它现在处于
位置。
它是，但小心翼翼地看到作为同一台机器。因为它的全部价格与b $ b不同。成对连接条件，因为所有
一起是所有连接条件连同连接的
条件。你看到开始和结束的连接，
和它们之间的中间位置。对说任何机器，他们都这样做。
尝试
使对可见作为一台机器，你看，任何方式都是对的
机器的工作方式。虽然是一台真机，一台可以在任何机器上使用的机器，所以看看它们如何配对，就像它们如何一起工作一样，它们如何一起工作，看起来像什么一台机器
即可。一台机器可以在中间停下来然后回到开头，
就这样看。但有时候没有它到达的地方。所以看看
机器，任何地方都可以说倒退，或之前的任何地方都可以后来很多b $ b。很难看到成对的机器。机器说
那个。
it looks like a machine when you find each that work out the way it
does and say with all the others that work out the way they do
together overlapping common pieces but say connected each working out
as connected, but together as connected it''s connected with the others
connected. a whole machine where connected together is a condition of
the machine together as complimentary of what is said for what is said
about where the machine is at. the way where a loop in the machine is
what won''t loop on it''s own unless the whole machine''s set position is
where that loop can move on it''s own. a set of pairs that work out
together as sets in different sizes say conditioned together like
where for what matters is for what matters together as what matters
for eachother. it''s hard to recognize it as a machine unless you see
that. what''s together as pairs that work out together are like the
idea of for what matters is for what matters as where the machine is
at. so machine input is what matters for machine output. always
machine input that makes difference of output is pairs that work out
together. machine beginning and machine ending. to see as machine is
a machine to turns back around to beginning if it were to operate as a
machine. very important is trying to recognize it as a machine,
because it''s hard to see. so if you move pairs that work out together
as any way they can move, see all over again the way they work out and
how they share pairs that work out another way too. how to see it as
the same machine again will be flipped around but try in different
ways. any machine can be said with pairs. because with pairs you can
also say this, given how they can be setup, a way for them to be where
any much of them saying they work out a way can say different in any
way for how other pairs work out, and how other pairs are arranged.
any machine always has it so the bigger part of the machine that moves
any way it can passes all the movment it can have to a smaller part.
so the smaller part moved any way makes the bigger part move ways.
because of what any condition can be.
the moving pairs problem i can''t find a webpage for. it''s where on a
board you setup pairs in any way (but saying a machine that works)
like where
|1|1|2|2|
|3|4|3|4|
|5|5|6|6|
|7|8|8|7|
and each number the same is a pair, now see pair move, each number
moves together at the same time with the other. there''s one answer
there can be, but a recursive problem usually to find it. it''s where
that pair can move where it can, but it can because the outcome known
for where the last pair moves to where the first pair left. but the
pairs switch each move with where they go, to be not the same pair but
a different pair as paired with where each can go to be pairs with
what left where it can go.
so
|1|1|
|2|2| -2 and 2 is 2 and 1, and 1 and 1 is 2 and 1 the other way.
pick any and the same but another way. make moved and try again, it
turns around. the machine idea of it is at beginning then ending, then
beginning again. because that''s all this machine does.
make me look better about this?
it is a machine. see how. see how setup bigger they figure to work out
one way for each pair, and each other pair, they do. so see how each
pair you figure can work out has the same pairs as how others work
out. they do.
so draw, draw it so they work out together and others that work out
together are showing how any pair works out the way it does as
together, togther with other pairs that work out together, as one
thing together. one thing together where any pair that works out with
other pairs the way it can move is together with other pairs that can
work out together as together itself, but together with the other
pairs overlapping the same pairs that work out the other way.
altogether though.
now see as a machine. a machine that can work, like any machine. a
machine that starts and begins again where it started. it is a
machine. it''s any machine you want depending on how you setup the
pairs. find a pair that can move and move it, see how it''s a machine
again another way. it is. see what it is? it''s the whole machine
another way. where a part of the machine moved, the whole machine
moved like where that part moved the way it did. it does.
a machine like this shows connected conditions, conditions that
compliment machine position together. not like seeing a loop inside a
loop be it''s own, but together.
it''s a whole machine, any machine. where a machine is said like it can
be any other way it can be. it''s a machine that looks like a machine
when you see how for what matters is for what matters, because it''s
like beginning matters for end as pairs that work out together, not
like next machine position is with next machine position, that''s not a
machine you see that way.
try making a machine where you see pairs work out together and others
that do, the pairs that work out together are there like loop that
begins is together with where the loop ends because it''s a whole
machine. a whole machine that altogether has one position to be in,
one position altogether. a machine like any. it''s true.
draw pairs as a machine, but see it be a machine. because it''s a
machine like it is. see it all over again when you move pairs together
and see it all again, but now see it as whole machine in a different
position, all of it is, because that''s the part of the machine that
makes the rest of the machine where it can be for that part of the
machine. it''s not like moving the machine one step, it''s like moving
it altogether in one place, so try an easy place to move pairs where
it''s at the part of the machine that shows easy how the rest of the
machine should be. it''s the whole machine when you move that part
where that part is moved that looks different, it''s the whole machine
set position. set position inbetween where it works, for the rest to
be in position different to how that position is set.
see so carefully as whole machine again, the same machine, but
different altogether, because it''s altogether set in a different
position. like a machine that''s been operated until it gets there, the
position it''s in now.
it is, but careful to see as the same machine. because it''s all
different. pairs together are connected conditions, togther as all
pairs together is all connected conditions together with connected
conditions that are connected. you see beginning and ending connected,
and inbetweens the way they are. pairs say any machine, they do.
try
make pairs visible as a machine, you see, any way pairs are is for the
way the machine works. a real machine though, a machine that can be
any machine, so see pairs together as how they work with pairs
together as how they work together as what looks like what a machine
can be. a machine can stop in the middle and go back to the beginning,
see it like that. but sometimes not with where it gets to. so see
machine that anywhere can say go backwards, or anywhere before can be
much afterwards. it''s hard to see pairs as a machine. machines say
that.
推荐答案
7月17日，5：23 * am，mcja ...... @gmail。 com写道：
On Jul 17, 5:23*am, mcja...@gmail.com wrote:
我看到了关于网格对拼图问题的一些有趣的事情
可能很有趣。
I saw something interesting about a grid pair puzzle problem that
might be interesting.
这就是问题，在网格中你说任意大小的
对。
it''s the problem where in a grid any size you say so many that are
pairs.
| 1a | 2a | 3a |
| 2b | 1a | 3b |
| 4a | 4b | 5a |
| 6a | 5b | 6b |
|1a|2a|3a|
|2b|1a|3b|
|4a|4b|5a|
|6a|5b|6b|
做出一个动作就是让对方的另一个移动时间相同
时间，但要解决的问题它可以先移动就是弄清楚每一种方式
它可以解决，直到你知道最后一个移动到第一个选择移动的第一个
来自哪里。一个递归问题通常说。
对切换每一步。
to make one move is to make the other of the pair move at the same
time, but to solve where it can move first is to figure out every way
it can be solved until you know the last one to move where the first
one chosen to move comes from. a recursive problem said usuallly. the
pairs switch each move.
如果我认为每个人都可以移动所有参与移动，并且
每个他们重叠参与必须移动的碎片。所以，如果
你
以某种方式绘制每一个都可以解决所有必须移动
在一起你在哪里说你可以如何解决其他的
解决方法的方式是一起但是所有解决的问题
与它们如何解决它一起使它看起来像一台机器
可以移动。
if I figure each to be able to move with all involved in moving, and
for each they overlap the involved pieces that have to move. so if
you
draw somehow how each can be solved with all that have to move
together where you say together with how you can solve the other ones
the way where each that solves a way is together but all that solve
are together with how they solve it makes what looks like a machine
that can move.
所以，如果我选择一个来移动它如何解决移动并绘制它的方式
现在通过看他们现在如何解决，看起来如果这是一台
的机器整个机器已经重新安排在哪里如果你选择一个
移动作为机器的一部分移动，整个机器是
移动
到机器的那部分移动的地方。这是为了画出他们如何再次解决
。
so if I pick one to move how it can be solved to move and draw how it
looks now by seeing how they solve now, it looks like if this were a
machine the entire machine has been rearranged where if you pick one
to move as the part of the machine to move, the whole machine is
moved
to where that part of the machine moved. that''s to draw how they
solve
again.
它似乎可以让一台整机在一块
板上说成对
移动到整个机器可以进入的任何位置，以便移动
机器的任何部分。喜欢，它似乎解决了整个机器。
it seems to be able to make a whole machine said with pairs on a
board
move to any position the whole machine can be in for any part of the
machine moved. like, it seems to solve a whole machine .
所以想出这些机器中的机器是一台有效的机器，
见
它解决的问题与解决其他解决方案的问题重叠如何使用
同样涉及如何移动。
so figure a machine out of these pairs to be a machine that works,
see
it in how the ones that solve overlap the other ones that solve to
use
the same involved in how any can move.
再次看它是如何吸引的，如果一个是移动的话整个机器就移动了将是机器的那部分移动。
see it in how it draws again, it''s the whole machine moved if one is
moved where it would be for that part of the machine moved.
之类的，它似乎让整个机器说它已经运行了
而。
like, it seems to make the whole machine say it''s been running for a
while.
它看起来像网格中的对可以说任何机器都可以按照它们的方式排列，就像每个机器一样解决方法使用与解决某种方式的其他方式相同的部分，因此它看起来像是如何解决它们和其他部分一起组合在一起，以及彼此之间。
并且移动一个能解决它的方法就是再次看到它们再次以新的方式解决它们的方式，它看起来像是整个/>
机器已移动的方式移动只需要移动的部分
机器。
it looks like pairs in a grid can say any machine the way they can be
arranged, like each one that solves a way uses the same pieces as the
others that solve a way, so it looks togther as how they solve as
pieces together and other pieces together, together with eachother.
and to move one that solves any way that it does is to see all over
again how they solve together a new way, and it looks like the whole
machine has moved the way it is to move where only the part of the
machine you want moves.
看起来任何可以表达问题的机器都可以用
说成对，机器没有我已经搬家了，但是在
原价
的位置，但是在一个完全不同的位置它可以进入，
只是在移动一个解决了。坚持他们如何重新安排和
再次移动它们总是与机器相同的部分，因为
休息
与方式不同他们解决但是作为机器的其余部分，它被移动连接部分移动了。
it seems like any machine that can express a problem to solve can be
said with pairs, where the machine hasn''t moved yet but is in
original
position, but then in a completely different position it can be in,
just be moving one that solves. sticking with how they rearranged and
moving them again always is the same part of the machine, for the
rest
to be different the way they solve but as the rest of the machine the
way it''s moved connected the part moved.
任何人都可以备份这看起来如何工作吗？
can anyone back up how this seems to work?
它看起来像一台机器，当你发现每台机器都按照它的方式工作时，它会与所有其他的机器一起工作他们这样做的方式
一起重叠常见的部分，但说连接每个工作
连接，但连接在一起它与其他人连接
已连接。整个机器连接在一起是一个条件，机器在一起，作为机器所处位置的所说内容的补充说明。
。机器中循环的方式是什么？b $ b除非整个机器的设定位置是
，否则循环就不会自行循环可以继续前进。一组一对一起制作出来的
一起作为不同大小的套装说起来就像
一样重要的是重要的是重要的事情
for eachother。除非你看到
，否则很难将它识别为机器。作为一起工作的对在一起的是什么，对于重要的是什么来说重要的是机器在哪里？
at。所以机器输入对机器输出很重要。永远
机器输入，使输出的差异是一起计算出来的对。
。机器开始和机器结束。如果它是作为一台机器重新开始，那么机器就可以重新开始。
机器。非常重要的是试图将其识别为机器，因为它很难看到。因此，如果你移动一起工作的对子
他们可以移动的方式，再看看他们的工作方式和
他们如何分享对另一个方式也是。如何将它视为
同一台机器将再次翻转但尝试不同的方式。任何机器都可以说成对。因为你可以用双b / b
也说这个，考虑到它们是如何设置的，这是一种让他们在哪里的方式
他们中的任何一个都说他们的方法可以对于其他对如何计算，以及如何安排其他对，以任何
的方式说不同。
任何机器总是拥有它所以机器的大部分移动
任何方式它都可以将它可以传递到一个较小的部分。
所以较小的部分以任何方式移动使得更大的部分移动方式。
因为任何条件都可以。
移动配对问题我找不到网页。它是在一块
板上你以任何方式设置对（但是说一台有效的机器）
就像在哪里
| 1 | 1 | 2 | 2 |
| 3 | 4 | 3 | 4 |
| 5 | 5 | 6 | 6 |
| 7 | 8 | 8 | 7 |
和每个数字相同是一对，现在看到对移动，每个数字
一起移动与另一方同时进行。有一个答案
可以，但通常会有一个递归问题找到它。它可以在哪里移动它可以移动到哪里，但它可以因为结果已知
最后一对移动到第一对离开的位置。但是
对每次移动都会切换到它们去的地方，不是同一对但是
a不同的对与每个可以配对的地方配对
它离开了什么地方。
所以
| 1 | 1 |
| 2 | 2 | -2和2是2和1，而1和1是2和1另一种方式。
选择任何和相同但另一种方式。移动并再试一次，它会转过来。机器的想法是在开始然后结束，然后再次开始
。因为这就是所有这台机器。
让我看起来更好吗？
它是一台机器。怎么看。看看他们如何计算出更大的设置
每对一对，另外一对，他们这样做。所以看看你认为每个
对的结果与其他人的工作方式相同
out。他们这样做了。
所以画画，画出来让他们一起锻炼，其他人一起锻炼
一起展示它们如何以它的方式运作作为
在一起，与其他一对一起工作，作为一个
的东西在一起。一起做任何事情，其中任何一对使用
其他对可以移动的方式是与其他对一起可以
一起自己一起锻炼，但与另一个
对重叠相同的一对，但是完全相同。
尽管如此。
现在看作是一台机器。可以像任何机器一样工作的机器。一台
机器启动并重新开始。这是一台
的机器。它取决于你如何设置
对，这是你想要的任何一台机器。找到一对可以移动和移动的东西，再看看它是一台机器又是另一种方式。它是。看看它是什么？这是整个机器
另一种方式。机器的一部分移动的地方，整个机器
像那个部分移动一样移动。确实如此。
这样的机器显示连接条件，条件是
恭维机器位置。不喜欢看到一个循环里面的循环它是自己的，但它们在一起。
它是一台整机，任何一台机器。一台机器就像它可以说它可以是任何其他方式。它是一台看起来像一台机器的机器
当你看到重要的是什么时候重要的事情，因为它就像开始成对的一样一起工作，而不是像下一个机器位置那样
就是下一个机器位置，那不是你看到的那台机器。
尝试制作一台机器，你可以看到它们在一起工作，而其他人就是这样做的，那些一起工作的对就像循环那样
开始了与循环结束的地方一起，因为它是一个完整的
机器。一整个机器总共有一个位置，
一个位置。像任何一台机器。这是真的。
作为一台机器绘制对，但看它是一台机器。因为它是一台
的机器。当你一起移动时再看一遍
并再次看到它，但现在把它看作整个机器的不同
位置，所有这一切都是，因为这是机器的一部分
使机器的其余部分可以用于
机器的那一部分。它不像是将机器移动一步，就像在一个地方移动
一样，所以尝试一个简单的地方来移动它们对的地方
it在机器的一部分，显示了
机器的其余部分应该是多么简单。当你移动那个部分时它就是整个机器
那部分被移动的东西看起来不同，它就是整个机器
设定的位置。在其间工作的位置设置位置，其余部分
的位置与该位置的设置方式不同。
再次看到整个机器如此仔细，同一台机器，但完全不同，因为它完全设置在不同的b
位置。就像一台直到它到位的机器一样，它现在处于
位置。
它是，但小心翼翼地看到作为同一台机器。因为它的全部价格与b $ b不同。成对连接条件，因为所有
一起是所有连接条件连同连接的
条件。你看到开始和结束的连接，
和它们之间的中间位置。对说任何机器，他们都这样做。
尝试
使对可见作为一台机器，你看，任何方式都是对的
机器的工作方式。虽然是一台真机，一台可以在任何机器上使用的机器，所以看看它们如何配对，就像它们如何一起工作一样，它们如何一起工作，看起来像什么一台机器
即可。一台机器可以在中间停下来然后回到开头，
就这样看。但有时候没有它到达的地方。所以看看
机器，任何地方都可以说倒退，或者之前的任何地方都可以
阅读更多？ - 隐藏引用文字 -
- 在网格中显示引用文本-...
it looks like a machine when you find each that work out the way it
does and say with all the others that work out the way they do
together overlapping common pieces but say connected each working out
as connected, but together as connected it''s connected with the others
connected. a whole machine where connected together is a condition of
the machine together as complimentary of what is said for what is said
about where the machine is at. the way where a loop in the machine is
what won''t loop on it''s own unless the whole machine''s set position is
where that loop can move on it''s own. a set of pairs that work out
together as sets in different sizes say conditioned together like
where for what matters is for what matters together as what matters
for eachother. it''s hard to recognize it as a machine unless you see
that. what''s together as pairs that work out together are like the
idea of for what matters is for what matters as where the machine is
at. so machine input is what matters for machine output. always
machine input that makes difference of output is pairs that work out
together. machine beginning and machine ending. to see as machine is
a machine to turns back around to beginning if it were to operate as a
machine. very important is trying to recognize it as a machine,
because it''s hard to see. so if you move pairs that work out together
as any way they can move, see all over again the way they work out and
how they share pairs that work out another way too. how to see it as
the same machine again will be flipped around but try in different
ways. any machine can be said with pairs. because with pairs you can
also say this, given how they can be setup, a way for them to be where
any much of them saying they work out a way can say different in any
way for how other pairs work out, and how other pairs are arranged.
any machine always has it so the bigger part of the machine that moves
any way it can passes all the movment it can have to a smaller part.
so the smaller part moved any way makes the bigger part move ways.
because of what any condition can be.
the moving pairs problem i can''t find a webpage for. it''s where on a
board you setup pairs in any way (but saying a machine that works)
like where
|1|1|2|2|
|3|4|3|4|
|5|5|6|6|
|7|8|8|7|
and each number the same is a pair, now see pair move, each number
moves together at the same time with the other. there''s one answer
there can be, but a recursive problem usually to find it. it''s where
that pair can move where it can, but it can because the outcome known
for where the last pair moves to where the first pair left. but the
pairs switch each move with where they go, to be not the same pair but
a different pair as paired with where each can go to be pairs with
what left where it can go.
so
|1|1|
|2|2| -2 and 2 is 2 and 1, and 1 and 1 is 2 and 1 the other way.
pick any and the same but another way. make moved and try again, it
turns around. the machine idea of it is at beginning then ending, then
beginning again. because that''s all this machine does.
make me look better about this?
it is a machine. see how. see how setup bigger they figure to work out
one way for each pair, and each other pair, they do. so see how each
pair you figure can work out has the same pairs as how others work
out. they do.
so draw, draw it so they work out together and others that work out
together are showing how any pair works out the way it does as
together, togther with other pairs that work out together, as one
thing together. one thing together where any pair that works out with
other pairs the way it can move is together with other pairs that can
work out together as together itself, but together with the other
pairs overlapping the same pairs that work out the other way.
altogether though.
now see as a machine. a machine that can work, like any machine. a
machine that starts and begins again where it started. it is a
machine. it''s any machine you want depending on how you setup the
pairs. find a pair that can move and move it, see how it''s a machine
again another way. it is. see what it is? it''s the whole machine
another way. where a part of the machine moved, the whole machine
moved like where that part moved the way it did. it does.
a machine like this shows connected conditions, conditions that
compliment machine position together. not like seeing a loop inside a
loop be it''s own, but together.
it''s a whole machine, any machine. where a machine is said like it can
be any other way it can be. it''s a machine that looks like a machine
when you see how for what matters is for what matters, because it''s
like beginning matters for end as pairs that work out together, not
like next machine position is with next machine position, that''s not a
machine you see that way.
try making a machine where you see pairs work out together and others
that do, the pairs that work out together are there like loop that
begins is together with where the loop ends because it''s a whole
machine. a whole machine that altogether has one position to be in,
one position altogether. a machine like any. it''s true.
draw pairs as a machine, but see it be a machine. because it''s a
machine like it is. see it all over again when you move pairs together
and see it all again, but now see it as whole machine in a different
position, all of it is, because that''s the part of the machine that
makes the rest of the machine where it can be for that part of the
machine. it''s not like moving the machine one step, it''s like moving
it altogether in one place, so try an easy place to move pairs where
it''s at the part of the machine that shows easy how the rest of the
machine should be. it''s the whole machine when you move that part
where that part is moved that looks different, it''s the whole machine
set position. set position inbetween where it works, for the rest to
be in position different to how that position is set.
see so carefully as whole machine again, the same machine, but
different altogether, because it''s altogether set in a different
position. like a machine that''s been operated until it gets there, the
position it''s in now.
it is, but careful to see as the same machine. because it''s all
different. pairs together are connected conditions, togther as all
pairs together is all connected conditions together with connected
conditions that are connected. you see beginning and ending connected,
and inbetweens the way they are. pairs say any machine, they do.
try
make pairs visible as a machine, you see, any way pairs are is for the
way the machine works. a real machine though, a machine that can be
any machine, so see pairs together as how they work with pairs
together as how they work together as what looks like what a machine
can be. a machine can stop in the middle and go back to the beginning,
see it like that. but sometimes not with where it gets to. so see
machine that anywhere can say go backwards, or anywhere before can be
read more ?- Hide quoted text -
- Show quoted text -...
对，以任何方式排列。一对占据网格上任意位置的两个空格的
网格。整个网格现在充满了对。
按照他们的方式排列，他们只能在
时才能移动它想象一下如何移动到某处其他东西可以移动的地方，
其他可以移动的地方可以移动到某个地方
其他地方仍然可以移动。每一步都会成对另一对。给予所有对
，它只能解决一种移动方式。所以第一步就是
找到两个移动的对。两者都可以移动到哪里它是一对中的一个，它可以去那里，因为它可以随着它的一对移动。
所以先行动配对并说不再配对，但每一对
都配有新配对，他们可以去哪里。它是找到最后一对
可以在第一对移动之前移动的，但是任何方式对都可以通过尝试各种方式来找到它可以解决你的问题。
可以让对完成开始。如此多的一对有一个方法
来计算每个人可以移动的地方，但如果你看到其他人如何能够b / b
他们在移动的方式中使用相同的对。所以做一对移动就是
让其他一对以另一种方式运作。
所以这两种方式一起说出来，所有其他人说
在一起，但是所有这些都与一些对是一样的。
所以看看它们在一起时的样子？这是一台机器。但是
看看当你携带一起工作的对子会发生什么时候会发生什么。
移动他们。现在一些人以另一种方式解决问题。但是看看所有的
对如何协同工作以及其他一对一起工作
一起移动在一起的方式如何不同？
因为板子上的线对可以设置为任何方式，并且它们总是可以运行，所以如果你选择几对来移动，那么其他地方
你可以找到一些对他们进行锻炼的另一种方式，它可以用任何方式工作，无论是移动几对，还是说要多几双就可以了。
以任何方式不同，取决于它们的设置方式。所以说一些
对的一面说组合用于其他方式的组合，
你可以任意组合对任何组合。但接下来
接下来当所有组合再次移动任何组合时，一次又一次地回到
开始重新开始组合序列。
这样'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''不管怎么说，不管怎么说？
这么一台机器。喜欢归纳。任何归纳法。
尝试几种方式看看？
看到他们每次都有成功的方式，成对，但其他人也是，所以
看看他们如何锻炼他们可以，但后来看看它是如何看起来像机器一样的方式。
它可以这样看待它。你看机器了吗？因为当一对
对移动的方式可以再次看到它时，它就是同一台机器
但移动了。移动的对是移动机器的一部分，比如
机器的其余部分也移动了。该部分的方式
移动。
pairs, arranged any way, in a grid. a pair occupying 2 spaces of the
grid, anywhere on the grid. the whole grid now filled with pairs.
arranged the way they are, they work out to be able to move only when
it''s figured how one can move somewhere where something else can move,
where something else that can move is where it can move to somewhere
else still. each move makes a pair another pair. given all pairs
together it can only work out one way to move. so first move is to
find both of the pair to move. both can move where it goes to where
one of a pair is, it can go there because it can move with it''s pair.
so make first move of pair and say not pair anymore but each of pair
is with new pair, where they can go. it''s to find the last pair that
can move before the first pair can be moved, but any way pairs can
move is to find by trying all ways until it works out a way where you
can make pairs finish what started. so many pairs together have a way
to work out where each can move, but if you see how the others can
they use the same pairs in the way they move. so making a pair move is
to make other pairs work out another way.
so pairs that work out a way say together, and all others say
together, but then all together with how some pairs are the same.
so see what it looks like when it''s together? it''s a machine. but
watch what happens when you take pairs that work together to move and
move them. now some pairs work out another way. but see how all the
pairs that work together to move with the other pairs that work
together to move that are together are all different in how?
since pairs on a board can be setup to be any way, and they always
work out so that if you pick a few pairs to move, then anywhere else
you can find a few pairs moved another way for them to workout, it can
work any way where moving a few pairs says for a few more pairs to be
different in any way depending on how they''re setup. so say some of
one side of the pairs says combination for other way a combination,
you can have any combination for any combination with pairs. but then
next when all moved any combination again but again and again back to
the beginning where it starts the sequence of combinations over again.
so that''s any machine because for combination is for any other
combination, the way another combination is again, but then different
ways to work out but any, say any doesn''t it?
so a machine. like inductive. any inductive.
try a few ways to see?
see they work out each time a way, pairs do, but the others too, so
see like how they workout everyway they can, but then see how that
looks the way together like a machine.
it works to see it that way. you see a machine right? because when a
pair moves the way it can and again you see it, it''s the same machine
but moved. where the pairs moved are a part of the machine moved, like
the rest of the machine has moved too. the way it would for that part
to move.
7月17日，5：23 * am，mcja .. 。@ gmail.com写道：
On Jul 17, 5:23*am, mcja...@gmail.com wrote:
我看到有关网格对拼图问题的有趣内容
可能很有趣。
I saw something interesting about a grid pair puzzle problem that
might be interesting.
这就是问题，在网格中你说任意大小的
对。
it''s the problem where in a grid any size you say so many that are
pairs.
| 1a | 2a | 3a |
| 2b | 1a | 3b |
| 4a | 4b | 5a |
| 6a | 5b | 6b |
|1a|2a|3a|
|2b|1a|3b|
|4a|4b|5a|
|6a|5b|6b|
做出一个动作就是让对方的另一个移动时间相同
时间，但要解决的问题它可以先移动就是弄清楚每一种方式
它可以解决，直到你知道最后一个移动到第一个选择移动的第一个
来自哪里。一个递归问题通常说。
对切换每一步。
to make one move is to make the other of the pair move at the same
time, but to solve where it can move first is to figure out every way
it can be solved until you know the last one to move where the first
one chosen to move comes from. a recursive problem said usuallly. the
pairs switch each move.
如果我认为每个人都可以移动所有参与移动，并且
每个他们重叠参与必须移动的碎片。所以，如果
你
以某种方式绘制每一个都可以解决所有必须移动
在一起你在哪里说你可以如何解决其他的
解决方法的方式是一起但是所有解决的问题
与它们如何解决它一起使它看起来像一台机器
可以移动。
if I figure each to be able to move with all involved in moving, and
for each they overlap the involved pieces that have to move. so if
you
draw somehow how each can be solved with all that have to move
together where you say together with how you can solve the other ones
the way where each that solves a way is together but all that solve
are together with how they solve it makes what looks like a machine
that can move.
所以，如果我选择一个来移动它如何解决移动并绘制它的方式
现在通过看他们现在如何解决，看起来如果这是一台
的机器整个机器已经重新安排在哪里如果你选择一个
移动作为机器的一部分移动，整个机器是
移动
到机器的那部分移动的地方。这是为了画出他们如何再次解决
。
so if I pick one to move how it can be solved to move and draw how it
looks now by seeing how they solve now, it looks like if this were a
machine the entire machine has been rearranged where if you pick one
to move as the part of the machine to move, the whole machine is
moved
to where that part of the machine moved. that''s to draw how they
solve
again.
它似乎可以让一台整机在一块
板上说成对
移动到整个机器可以进入的任何位置，以便移动
机器的任何部分。 like, it seems to solve a whole machine .
it seems to be able to make a whole machine said with pairs on a
board
move to any position the whole machine can be in for any part of the
machine moved. like, it seems to solve a whole machine .
\t
\t\t\t\t so figure a machine out of these pairs to be a machine that works,
see
it in how the ones that solve overlap the other ones that solve to
use
the same involved in how any can move.
so figure a machine out of these pairs to be a machine that works,
see
it in how the ones that solve overlap the other ones that solve to
use
the same involved in how any can move.
\t
\t\t\t\t see it in how it draws again, it’’s the whole machine moved if one is
moved where it would be for that part of the machine moved.
see it in how it draws again, it''s the whole machine moved if one is
moved where it would be for that part of the machine moved.
\t
\t\t\t\t like, it seems to make the whole machine say it’’s been running for a
while.
like, it seems to make the whole machine say it''s been running for a
while.
\t
\t\t\t\t it looks like pairs in a grid can say any machine the way they can be
arranged, like each one that solves a way uses the same pieces as the
others that solve a way, so it looks togther as how they solve as
pieces together and other pieces together, together with eachother.
and to move one that solves any way that it does is to see all over
again how they solve together a new way, and it looks like the whole
machine has moved the way it is to move where only the part of the
machine you want moves.
it looks like pairs in a grid can say any machine the way they can be
arranged, like each one that solves a way uses the same pieces as the
others that solve a way, so it looks togther as how they solve as
pieces together and other pieces together, together with eachother.
and to move one that solves any way that it does is to see all over
again how they solve together a new way, and it looks like the whole
machine has moved the way it is to move where only the part of the
machine you want moves.
\t
\t\t\t\t it seems like any machine that can express a problem to solve can be
said with pairs, where the machine hasn’’t moved yet but is in
original
position, but then in a completely different position it can be in,
just be moving one that solves. sticking with how they rearranged and
moving them again always is the same part of the machine, for the
rest
to be different the way they solve but as the rest of the machine the
way it’’s moved connected the part moved.
it seems like any machine that can express a problem to solve can be
said with pairs, where the machine hasn''t moved yet but is in
original
position, but then in a completely different position it can be in,
just be moving one that solves. sticking with how they rearranged and
moving them again always is the same part of the machine, for the
rest
to be different the way they solve but as the rest of the machine the
way it''s moved connected the part moved.
\t
\t\t\t\t can anyone back up how this seems to work?
can anyone back up how this seems to work?
it looks like a machine when you find each that work out the way it
does and say with all the others that work out the way they do
together overlapping common pieces but say connected each working out
as connected, but together as connected it’’s connected with the others
connected. a whole machine where connected together is a condition of
the machine together as complimentary of what is said for what is said
about where the machine is at. the way where a loop in the machine is
what won’’t loop on it’’s own unless the whole machine’’s set position is
where that loop can move on it’’s own. a set of pairs that work out
together as sets in different sizes say conditioned together like
where for what matters is for what matters together as what matters
for eachother. it’’s hard to recognize it as a machine unless you see
that. what’’s together as pairs that work out together are like the
idea of for what matters is for what matters as where the machine is
at. so machine input is what matters for machine output. always
machine input that makes difference of output is pairs that work out
together. machine beginning and machine ending. to see as machine is
a machine to turns back around to beginning if it were to operate as a
machine. very important is trying to recognize it as a machine,
because it’’s hard to see. so if you move pairs that work out together
as any way they can move, see all over again the way they work out and
how they share pairs that work out another way too. how to see it as
the same machine again will be flipped around but try in different
ways. any machine can be said with pairs. because with pairs you can
also say this, given how they can be setup, a way for them to be where
any much of them saying they work out a way can say different in any
way for how other pairs work out, and how other pairs are arranged.
any machine always has it so the bigger part of the machine that moves
any way it can passes all the movment it can have to a smaller part.
so the smaller part moved any way makes the bigger part move ways.
because of what any condition can be.
the moving pairs problem i can’’t find a webpage for. it’’s where on a
board you setup pairs in any way (but saying a machine that works)
like where
|1|1|2|2|
|3|4|3|4|
|5|5|6|6|
|7|8|8|7|
and each number the same is a pair, now see pair move, each number
moves together at the same time with the other. there’’s one answer
there can be, but a recursive problem usually to find it. it’’s where
that pair can move where it can, but it can because the outcome known
for where the last pair moves to where the first pair left. but the
pairs switch each move with where they go, to be not the same pair but
a different pair as paired with where each can go to be pairs with
what left where it can go.
so
|1|1|
|2|2| -2 and 2 is 2 and 1, and 1 and 1 is 2 and 1 the other way.
pick any and the same but another way. make moved and try again, it
turns around. the machine idea of it is at beginning then ending, then
beginning again. because that’’s all this machine does.
make me look better about this?
it is a machine. see how. see how setup bigger they figure to work out
one way for each pair, and each other pair, they do. so see how each
pair you figure can work out has the same pairs as how others work
out. they do.
so draw, draw it so they work out together and others that work out
together are showing how any pair works out the way it does as
together, togther with other pairs that work out together, as one
thing together. one thing together where any pair that works out with
other pairs the way it can move is together with other pairs that can
work out together as together itself, but together with the other
pairs overlapping the same pairs that work out the other way.
altogether though.
now see as a machine. a machine that can work, like any machine. a
machine that starts and begins again where it started. it is a
machine. it’’s any machine you want depending on how you setup the
pairs. find a pair that can move and move it, see how it’’s a machine
again another way.它是。 see what it is? it’’s the whole machine
another way. where a part of the machine moved, the whole machine
moved like where that part moved the way it did. it does.
a machine like this shows connected conditions, conditions that
compliment machine position together. not like seeing a loop inside a
loop be it’’s own, but together.
it’’s a whole machine, any machine. where a machine is said like it can
be any other way it can be. it’’s a machine that looks like a machine
when you see how for what matters is for what matters, because it’’s
like beginning matters for end as pairs that work out together, not
like next machine position is with next machine position, that’’s not a
machine you see that way.
try making a machine where you see pairs work out together and others
that do, the pairs that work out together are there like loop that
begins is together with where the loop ends because it’’s a whole
machine. a whole machine that altogether has one position to be in,
one position altogether. a machine like any. it’’s true.
draw pairs as a machine, but see it be a machine. because it’’s a
machine like it is. see it all over again when you move pairs together
and see it all again, but now see it as whole machine in a different
position, all of it is, because that’’s the part of the machine that
makes the rest of the machine where it can be for that part of the
machine. it’’s not like moving the machine one step, it’’s like moving
it altogether in one place, so try an easy place to move pairs where
it’’s at the part of the machine that shows easy how the rest of the
machine should be. it’’s the whole machine when you move that part
where that part is moved that looks different, it’’s the whole machine
set position. set position inbetween where it works, for the rest to
be in position different to how that position is set.
see so carefully as whole machine again, the same machine, but
different altogether, because it’’s altogether set in a different
position. like a machine that’’s been operated until it gets there, the
position it’’s in now.
it is, but careful to see as the same machine. because it’’s all
different. pairs together are connected conditions, togther as all
pairs together is all connected conditions together with connected
conditions that are connected. you see beginning and ending connected,
and inbetweens the way they are. pairs say any machine, they do.
try
make pairs visible as a machine, you see, any way pairs are is for the
way the machine works. a real machine though, a machine that can be
any machine, so see pairs together as how they work with pairs
together as how they work together as what looks like what a machine
can be. a machine can stop in the middle and go back to the beginning,
see it like that. but sometimes not with where it gets to. so see
machine that anywhere can say go backwards, or anywhere before can be
read more ?- Hide quoted text -
- Show quoted text -...
it looks like a machine when you find each that work out the way it
does and say with all the others that work out the way they do
together overlapping common pieces but say connected each working out
as connected, but together as connected it''s connected with the others
connected. a whole machine where connected together is a condition of
the machine together as complimentary of what is said for what is said
about where the machine is at. the way where a loop in the machine is
what won''t loop on it''s own unless the whole machine''s set position is
where that loop can move on it''s own. a set of pairs that work out
together as sets in different sizes say conditioned together like
where for what matters is for what matters together as what matters
for eachother. it''s hard to recognize it as a machine unless you see
that. what''s together as pairs that work out together are like the
idea of for what matters is for what matters as where the machine is
at. so machine input is what matters for machine output. always
machine input that makes difference of output is pairs that work out
together. machine beginning and machine ending. to see as machine is
a machine to turns back around to beginning if it were to operate as a
machine. very important is trying to recognize it as a machine,
because it''s hard to see. so if you move pairs that work out together
as any way they can move, see all over again the way they work out and
how they share pairs that work out another way too. how to see it as
the same machine again will be flipped around but try in different
ways. any machine can be said with pairs. because with pairs you can
also say this, given how they can be setup, a way for them to be where
any much of them saying they work out a way can say different in any
way for how other pairs work out, and how other pairs are arranged.
any machine always has it so the bigger part of the machine that moves
any way it can passes all the movment it can have to a smaller part.
so the smaller part moved any way makes the bigger part move ways.
because of what any condition can be.
the moving pairs problem i can''t find a webpage for. it''s where on a
board you setup pairs in any way (but saying a machine that works)
like where
|1|1|2|2|
|3|4|3|4|
|5|5|6|6|
|7|8|8|7|
and each number the same is a pair, now see pair move, each number
moves together at the same time with the other. there''s one answer
there can be, but a recursive problem usually to find it. it''s where
that pair can move where it can, but it can because the outcome known
for where the last pair moves to where the first pair left. but the
pairs switch each move with where they go, to be not the same pair but
a different pair as paired with where each can go to be pairs with
what left where it can go.
so
|1|1|
|2|2| -2 and 2 is 2 and 1, and 1 and 1 is 2 and 1 the other way.
pick any and the same but another way. make moved and try again, it
turns around. the machine idea of it is at beginning then ending, then
beginning again. because that''s all this machine does.
make me look better about this?
it is a machine. see how. see how setup bigger they figure to work out
one way for each pair, and each other pair, they do. so see how each
pair you figure can work out has the same pairs as how others work
out. they do.
so draw, draw it so they work out together and others that work out
together are showing how any pair works out the way it does as
together, togther with other pairs that work out together, as one
thing together. one thing together where any pair that works out with
other pairs the way it can move is together with other pairs that can
work out together as together itself, but together with the other
pairs overlapping the same pairs that work out the other way.
altogether though.
now see as a machine. a machine that can work, like any machine. a
machine that starts and begins again where it started. it is a
machine. it''s any machine you want depending on how you setup the
pairs. find a pair that can move and move it, see how it''s a machine
again another way. it is. see what it is? it''s the whole machine
another way. where a part of the machine moved, the whole machine
moved like where that part moved the way it did. it does.
a machine like this shows connected conditions, conditions that
compliment machine position together. not like seeing a loop inside a
loop be it''s own, but together.
it''s a whole machine, any machine. where a machine is said like it can
be any other way it can be. it''s a machine that looks like a machine
when you see how for what matters is for what matters, because it''s
like beginning matters for end as pairs that work out together, not
like next machine position is with next machine position, that''s not a
machine you see that way.
try making a machine where you see pairs work out together and others
that do, the pairs that work out together are there like loop that
begins is together with where the loop ends because it''s a whole
machine. a whole machine that altogether has one position to be in,
one position altogether. a machine like any. it''s true.
draw pairs as a machine, but see it be a machine. because it''s a
machine like it is. see it all over again when you move pairs together
and see it all again, but now see it as whole machine in a different
position, all of it is, because that''s the part of the machine that
makes the rest of the machine where it can be for that part of the
machine. it''s not like moving the machine one step, it''s like moving
it altogether in one place, so try an easy place to move pairs where
it''s at the part of the machine that shows easy how the rest of the
machine should be. it''s the whole machine when you move that part
where that part is moved that looks different, it''s the whole machine
set position. set position inbetween where it works, for the rest to
be in position different to how that position is set.
see so carefully as whole machine again, the same machine, but
different altogether, because it''s altogether set in a different
position. like a machine that''s been operated until it gets there, the
position it''s in now.
it is, but careful to see as the same machine. because it''s all
different. pairs together are connected conditions, togther as all
pairs together is all connected conditions together with connected
conditions that are connected. you see beginning and ending connected,
and inbetweens the way they are. pairs say any machine, they do.
try
make pairs visible as a machine, you see, any way pairs are is for the
way the machine works. a real machine though, a machine that can be
any machine, so see pairs together as how they work with pairs
together as how they work together as what looks like what a machine
can be. a machine can stop in the middle and go back to the beginning,
see it like that. but sometimes not with where it gets to. so see
machine that anywhere can say go backwards, or anywhere before can be
read more ?- Hide quoted text -
- Show quoted text -...
see like whole machine moved. but not a machine that moved one place,
but like a machine that moved _in one place_.
i see it being the idea of a machine that was running for a while to
get where it’’s at, but was put in middle position of machine running
like it didn’’t try getting where it’’s at by moving one position at a
time.
see how pairs together say a machine?
see like whole machine moved. but not a machine that moved one place,
but like a machine that moved _in one place_.
i see it being the idea of a machine that was running for a while to
get where it''s at, but was put in middle position of machine running
like it didn''t try getting where it''s at by moving one position at a
time.
see how pairs together say a machine?
On Jul 17, 5:23*am, mcja...@gmail.com wrote:
\t
On Jul 17, 5:23*am, mcja...@gmail.com wrote:
\t
\t\t\t\t I saw something interesting about a grid pair puzzle problem that
might be interesting.
I saw something interesting about a grid pair puzzle problem that
might be interesting.
\t
\t\t\t\t it’’s the problem where in a grid any size you say so many that are
pairs.
it''s the problem where in a grid any size you say so many that are
pairs.
\t
\t\t\t\t |1a|2a|3a|
|2b|1a|3b|
|4a|4b|5a|
|6a|5b|6b|
|1a|2a|3a|
|2b|1a|3b|
|4a|4b|5a|
|6a|5b|6b|
\t
\t\t\t\t to make one move is to make the other of the pair move at the same
time, but to solve where it can move first is to figure out every way
it can be solved until you know the last one to move where the first
one chosen to move comes from. a recursive problem said usuallly. the
pairs switch each move.
to make one move is to make the other of the pair move at the same
time, but to solve where it can move first is to figure out every way
it can be solved until you know the last one to move where the first
one chosen to move comes from. a recursive problem said usuallly. the
pairs switch each move.
\t
\t\t\t\t if I figure each to be able to move with all involved in moving, and
for each they overlap the involved pieces that have to move. so if
you
draw somehow how each can be solved with all that have to move
together where you say together with how you can solve the other ones
the way where each that solves a way is together but all that solve
are together with how they solve it makes what looks like a machine
that can move.
if I figure each to be able to move with all involved in moving, and
for each they overlap the involved pieces that have to move. so if
you
draw somehow how each can be solved with all that have to move
together where you say together with how you can solve the other ones
the way where each that solves a way is together but all that solve
are together with how they solve it makes what looks like a machine
that can move.
\t
\t\t\t\t so if I pick one to move how it can be solved to move and draw how it
looks now by seeing how they solve now, it looks like if this were a
machine the entire machine has been rearranged where if you pick one
to move as the part of the machine to move, the whole machine is
moved
to where that part of the machine moved. that’’s to draw how they
solve
again.
so if I pick one to move how it can be solved to move and draw how it
looks now by seeing how they solve now, it looks like if this were a
machine the entire machine has been rearranged where if you pick one
to move as the part of the machine to move, the whole machine is
moved
to where that part of the machine moved. that''s to draw how they
solve
again.
\t
\t\t\t\t it seems to be able to make a whole machine said with pairs on a
board
move to any position the whole machine can be in for any part of the
machine moved. like, it seems to solve a whole machine .
it seems to be able to make a whole machine said with pairs on a
board
move to any position the whole machine can be in for any part of the
machine moved. like, it seems to solve a whole machine .
\t
\t\t\t\t so figure a machine out of these pairs to be a machine that works,
see
it in how the ones that solve overlap the other ones that solve to
use
the same involved in how any can move.
so figure a machine out of these pairs to be a machine that works,
see
it in how the ones that solve overlap the other ones that solve to
use
the same involved in how any can move.
\t
\t\t\t\t see it in how it draws again, it’’s the whole machine moved if one is
moved where it would be for that part of the machine moved.
see it in how it draws again, it''s the whole machine moved if one is
moved where it would be for that part of the machine moved.
\t
\t\t\t\t like, it seems to make the whole machine say it’’s been running for a
while.
like, it seems to make the whole machine say it''s been running for a
while.
\t
\t\t\t\t it looks like pairs in a grid can say any machine the way they can be
arranged, like each one that solves a way uses the same pieces as the
others that solve a way, so it looks togther as how they solve as
pieces together and other pieces together, together with eachother.
and to move one that solves any way that it does is to see all over
again how they solve together a new way, and it looks like the whole
machine has moved the way it is to move where only the part of the
machine you want moves.
it looks like pairs in a grid can say any machine the way they can be
arranged, like each one that solves a way uses the same pieces as the
others that solve a way, so it looks togther as how they solve as
pieces together and other pieces together, together with eachother.
and to move one that solves any way that it does is to see all over
again how they solve together a new way, and it looks like the whole
machine has moved the way it is to move where only the part of the
machine you want moves.
\t
\t\t\t\t it seems like any machine that can express a problem to solve can be
said with pairs, where the machine hasn’’t moved yet but is in
original
position, but then in a completely different position it can be in,
just be moving one that solves. sticking with how they rearranged and
moving them again always is the same part of the machine, for the
rest
to be different the way they solve but as the rest of the machine the
way it’’s moved connected the part moved.
it seems like any machine that can express a problem to solve can be
said with pairs, where the machine hasn''t moved yet but is in
original
position, but then in a completely different position it can be in,
just be moving one that solves. sticking with how they rearranged and
moving them again always is the same part of the machine, for the
rest
to be different the way they solve but as the rest of the machine the
way it''s moved connected the part moved.
\t
\t\t\t\t can anyone back up how this seems to work?
can anyone back up how this seems to work?
it looks like a machine when you find each that work out the way it
does and say with all the others that work out the way they do
together overlapping common pieces but say connected each working out
as connected, but together as connected it’’s connected with the others
connected. a whole machine where connected together is a condition of
the machine together as complimentary of what is said for what is said
about where the machine is at. the way where a loop in the machine is
what won’’t loop on it’’s own unless the whole machine’’s set position is
where that loop can move on it’’s own. a set of pairs that work out
together as sets in different sizes say conditioned together like
where for what matters is for what matters together as what matters
for eachother. it’’s hard to recognize it as a machine unless you see
that. what’’s together as pairs that work out together are like the
idea of for what matters is for what matters as where the machine is
at. so machine input is what matters for machine output. always
machine input that makes difference of output is pairs that work out
together. machine beginning and machine ending. to see as machine is
a machine to turns back around to beginning if it were to operate as a
machine. very important is trying to recognize it as a machine,
because it’’s hard to see. so if you move pairs that work out together
as any way they can move, see all over again the way they work out and
how they share pairs that work out another way too. how to see it as
the same machine again will be flipped around but try in different
ways. any machine can be said with pairs. because with pairs you can
also say this, given how they can be setup, a way for them to be where
any much of them saying they work out a way can say different in any
way for how other pairs work out, and how other pairs are arranged.
any machine always has it so the bigger part of the machine that moves
any way it can passes all the movment it can have to a smaller part.
so the smaller part moved any way makes the bigger part move ways.
because of what any condition can be.
the moving pairs problem i can’’t find a webpage for. it’’s where on a
board you setup pairs in any way (but saying a machine that works)
like where
|1|1|2|2|
|3|4|3|4|
|5|5|6|6|
|7|8|8|7|
and each number the same is a pair, now see pair move, each number
moves together at the same time with the other. there’’s one answer
there can be, but a recursive problem usually to find it. it’’s where
that pair can move where it can, but it can because the outcome known
for where the last pair moves to where the first pair left. but the
pairs switch each move with where they go, to be not the same pair but
a different pair as paired with where each can go to be pairs with
what left where it can go.
so
|1|1|
|2|2| -2 and 2 is 2 and 1, and 1 and 1 is 2 and 1 the other way.
pick any and the same but another way. make moved and try again, it
turns around. the machine idea of it is at beginning then ending, then
beginning again. because that’’s all this machine does.
make me look better about this?
it is a machine. see how. see how setup bigger they figure to work out
one way for each pair, and each other pair, they do. so see how each
pair you figure can work out has the same pairs as how others work
out. they do.
so draw, draw it so they work out together and others that work out
together are showing how any pair works out the way it does as
together, togther with other pairs that work out together, as one
thing together. one thing together where any pair that works out with
other pairs the way it can move is together with other pairs that can
work out together as together itself, but together with the other
pairs overlapping the same pairs that work out the other way.
altogether though.
now see as a machine. a machine that can work, like any machine. a
machine that starts and begins again where it started. it is a
machine. it’’s any machine you want depending on how you setup the
pairs. find a pair that can move and move it, see how it’’s a machine
again another way.它是。 see what it is? it’’s the whole machine
another way. where a part of the machine moved, the whole machine
moved like where that part moved the way it did. it does.
a machine like this shows connected conditions, conditions that
compliment machine position together. not like seeing a loop inside a
loop be it’’s own, but together.
it’’s a whole machine, any machine. where a machine is said like it can
be any other way it can be. it’’s a machine that looks like a machine
when you see how for what matters is for what matters, because it’’s
like beginning matters for end as pairs that work out together, not
like next machine position is with next machine position, that’’s not a
machine you see that way.
try making a machine where you see pairs work out together and others
that do, the pairs that work out together are there like loop that
begins is together with where the loop ends because it’’s a whole
machine. a whole machine that altogether has one position to be in,
one position altogether. a machine like any. it’’s true.
draw pairs as a machine, but see it be a machine. because it’’s a
machine like it is. see it all over again when you move pairs together
and see it all again, but now see it as whole machine in a different
position, all of it is, because that’’s the part of the machine that
makes the rest of the machine where it can be for that part of the
machine. it’’s not like moving the machine one step, it’’s like moving
it altogether in one place, so try an easy place to move pairs where
it’’s at the part of the machine that shows easy how the rest of the
machine should be. it’’s the whole machine when you move that part
where that part is moved that looks different, it’’s the whole machine
set position. set position inbetween where it works, for the rest to
be in position different to how that position is set.
see so carefully as whole machine again, the same machine, but
different altogether, because it’’s altogether set in a different
position. like a machine that’’s been operated until it gets there, the
position it’’s in now.
it is, but careful to see as the same machine. because it’’s all
different. pairs together are connected conditions, togther as all
pairs together is all connected conditions together with connected
conditions that are connected. you see beginning and ending connected,
and inbetweens the way they are. pairs say any machine, they do.
try
make pairs visible as a machine, you see, any way pairs are is for the
way the machine works. a real machine though, a machine that can be
any machine, so see pairs together as how they work with pairs
together as how they work together as what looks like what a machine
can be. a machine can stop in the middle and go back to the beginning,
see it like that. but sometimes not with where it gets to. so see
machine that anywhere can say go backwards, or anywhere before can be
read more ?- Hide quoted text -
- Show quoted text -...
it looks like a machine when you find each that work out the way it
does and say with all the others that work out the way they do
together overlapping common pieces but say connected each working out
as connected, but together as connected it''s connected with the others
connected. a whole machine where connected together is a condition of
the machine together as complimentary of what is said for what is said
about where the machine is at. the way where a loop in the machine is
what won''t loop on it''s own unless the whole machine''s set position is
where that loop can move on it''s own. a set of pairs that work out
together as sets in different sizes say conditioned together like
where for what matters is for what matters together as what matters
for eachother. it''s hard to recognize it as a machine unless you see
that. what''s together as pairs that work out together are like the
idea of for what matters is for what matters as where the machine is
at. so machine input is what matters for machine output. always
machine input that makes difference of output is pairs that work out
together. machine beginning and machine ending. to see as machine is
a machine to turns back around to beginning if it were to operate as a
machine. very important is trying to recognize it as a machine,
because it''s hard to see. so if you move pairs that work out together
as any way they can move, see all over again the way they work out and
how they share pairs that work out another way too. how to see it as
the same machine again will be flipped around but try in different
ways. any machine can be said with pairs. because with pairs you can
also say this, given how they can be setup, a way for them to be where
any much of them saying they work out a way can say different in any
way for how other pairs work out, and how other pairs are arranged.
any machine always has it so the bigger part of the machine that moves
any way it can passes all the movment it can have to a smaller part.
so the smaller part moved any way makes the bigger part move ways.
because of what any condition can be.
the moving pairs problem i can''t find a webpage for. it''s where on a
board you setup pairs in any way (but saying a machine that works)
like where
|1|1|2|2|
|3|4|3|4|
|5|5|6|6|
|7|8|8|7|
and each number the same is a pair, now see pair move, each number
moves together at the same time with the other. there''s one answer
there can be, but a recursive problem usually to find it. it''s where
that pair can move where it can, but it can because the outcome known
for where the last pair moves to where the first pair left. but the
pairs switch each move with where they go, to be not the same pair but
a different pair as paired with where each can go to be pairs with
what left where it can go.
so
|1|1|
|2|2| -2 and 2 is 2 and 1, and 1 and 1 is 2 and 1 the other way.
pick any and the same but another way. make moved and try again, it
turns around. the machine idea of it is at beginning then ending, then
beginning again. because that''s all this machine does.
make me look better about this?
it is a machine. see how. see how setup bigger they figure to work out
one way for each pair, and each other pair, they do. so see how each
pair you figure can work out has the same pairs as how others work
out. they do.
so draw, draw it so they work out together and others that work out
together are showing how any pair works out the way it does as
together, togther with other pairs that work out together, as one
thing together. one thing together where any pair that works out with
other pairs the way it can move is together with other pairs that can
work out together as together itself, but together with the other
pairs overlapping the same pairs that work out the other way.
altogether though.
now see as a machine. a machine that can work, like any machine. a
machine that starts and begins again where it started. it is a
machine. it''s any machine you want depending on how you setup the
pairs. find a pair that can move and move it, see how it''s a machine
again another way. it is. see what it is? it''s the whole machine
another way. where a part of the machine moved, the whole machine
moved like where that part moved the way it did. it does.
a machine like this shows connected conditions, conditions that
compliment machine position together. not like seeing a loop inside a
loop be it''s own, but together.
it''s a whole machine, any machine. where a machine is said like it can
be any other way it can be. it''s a machine that looks like a machine
when you see how for what matters is for what matters, because it''s
like beginning matters for end as pairs that work out together, not
like next machine position is with next machine position, that''s not a
machine you see that way.
try making a machine where you see pairs work out together and others
that do, the pairs that work out together are there like loop that
begins is together with where the loop ends because it''s a whole
machine. a whole machine that altogether has one position to be in,
one position altogether. a machine like any. it''s true.
draw pairs as a machine, but see it be a machine. because it''s a
machine like it is. see it all over again when you move pairs together
and see it all again, but now see it as whole machine in a different
position, all of it is, because that''s the part of the machine that
makes the rest of the machine where it can be for that part of the
machine. it''s not like moving the machine one step, it''s like moving
it altogether in one place, so try an easy place to move pairs where
it''s at the part of the machine that shows easy how the rest of the
machine should be. it''s the whole machine when you move that part
where that part is moved that looks different, it''s the whole machine
set position. set position inbetween where it works, for the rest to
be in position different to how that position is set.
see so carefully as whole machine again, the same machine, but
different altogether, because it''s altogether set in a different
position. like a machine that''s been operated until it gets there, the
position it''s in now.
it is, but careful to see as the same machine. because it''s all
different. pairs together are connected conditions, togther as all
pairs together is all connected conditions together with connected
conditions that are connected. you see beginning and ending connected,
and inbetweens the way they are. pairs say any machine, they do.
try
make pairs visible as a machine, you see, any way pairs are is for the
way the machine works. a real machine though, a machine that can be
any machine, so see pairs together as how they work with pairs
together as how they work together as what looks like what a machine
can be. a machine can stop in the middle and go back to the beginning,
see it like that. but sometimes not with where it gets to. so see
machine that anywhere can say go backwards, or anywhere before can be
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see it as an actual machine though where pairs that work out are
together as how they work out saying connected parts of the machine
that share a dependent condition. like a condition that matches
another condition. this makes for the idea of seeing it together like
a machine for things like the inner loop that changes the outer loop
to be a connected condition together. or like the trial and result of
what the machine does as work. i don’’t know how to make arranged
moving pairs together look like software code that functions, but they
can. it’’s almost backwards to interpret it as the machine. see it as a
whole machine though, because a whole machine altogether is condition
dependant amongst itself otherwise from the way it looks to be what
works like a machine. so pairs that work out together having been
moved, say for the whole machine to be another way, the way that part
moved for the rest to show changed machine like that part would be to
have been moved for the other parts of the machine to be moved for
where the part moved is. so like, this seems to do something. it seems
to say the whole machine, a machine that does work, has already done
it’’s work.
see it as an actual machine though where pairs that work out are
together as how they work out saying connected parts of the machine
that share a dependent condition. like a condition that matches
another condition. this makes for the idea of seeing it together like
a machine for things like the inner loop that changes the outer loop
to be a connected condition together. or like the trial and result of
what the machine does as work. i don''t know how to make arranged
moving pairs together look like software code that functions, but they
can. it''s almost backwards to interpret it as the machine. see it as a
whole machine though, because a whole machine altogether is condition
dependant amongst itself otherwise from the way it looks to be what
works like a machine. so pairs that work out together having been
moved, say for the whole machine to be another way, the way that part
moved for the rest to show changed machine like that part would be to
have been moved for the other parts of the machine to be moved for
where the part moved is. so like, this seems to do something. it seems
to say the whole machine, a machine that does work, has already done
it''s work.
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