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这是一个创建于 2580 天前的主题，其中的信息可能已经有所发展或是发生改变。

上周五被带进坑，三天时间断断续续通关了 Google Foobar Challenge。不得不说题目还是很有意思的。总共有 5 关，每关分别是 1 题，2 题，3 题，2 题，1 题。前三关比较正常，后面就开始变态了。做完第三关可以给 Google HR 留联系方式。

顺便贴一下丧心病狂的最后一题

Disorderly Escape
=================

Oh no! You've managed to free the bunny prisoners and escape Commander Lambdas
exploding space station, but her team of elite starfighters has flanked your
ship. If you don't jump to hyperspace, and fast, you'll be shot out of the sky!

Problem is, to avoid detection by galactic law enforcement, Commander Lambda
planted her space station in the middle of a quasar quantum flux field. In order
to make the jump to hyperspace, you need to know the configuration of celestial
bodies in the quadrant you plan to jump through. In order to do *that*, you need
to figure out how many configurations each quadrant could possibly have, so that
you can pick the optimal quadrant through which you'll make your jump. 

There's something important to note about quasar quantum flux fields'
configurations: when drawn on a star grid, configurations are considered
equivalent by grouping rather than by order. That is, for a given set of
configurations, if you exchange the position of any two columns or any two rows
some number of times, you'll find that all of those configurations are equivalent
in that way - in grouping, rather than order.

Write a function answer(w, h, s) that takes 3 integers and returns the number of
unique, non-equivalent configurations that can be found on a star grid w blocks
wide and h blocks tall where each celestial body has s possible states.
Equivalency is defined as above: any two star grids with each celestial body in
the same state where the actual order of the rows and columns do not matter (and
can thus be freely swapped around). Star grid standardization means that the
width and height of the grid will always be between 1 and 12, inclusive. And
while there are a variety of celestial bodies in each grid, the number of states
of those bodies is between 2 and 20, inclusive. The answer can be over 20 digits
long, so return it as a decimal string.  The intermediate values can also be
large, so you will likely need to use at least 64-bit integers.

For example, consider w=2, h=2, s=2. We have a 2x2 grid where each celestial
body is either in state 0 (for instance, silent) or state 1 (for instance,
noisy).  We can examine which grids are equivalent by swapping rows and
columns.

00
00

In the above configuration, all celestial bodies are "silent" - that is, they
have a state of 0 - so any swap of row or column would keep it in the same
state.

00 00 01 10
01 10 00 00

1 celestial body is emitting noise - that is, has a state of 1 - so swapping
rows and columns can put it in any of the 4 positions.  All four of the above
configurations are equivalent.

00 11
11 00

2 celestial bodies are emitting noise side-by-side.  Swapping columns leaves
them unchanged, and swapping rows simply moves them between the top and bottom. 
In both, the *groupings* are the same: one row with two bodies in state 0, one
row with two bodies in state 1, and two columns with one of each state.

01 10
01 10

2 noisy celestial bodies adjacent vertically. This is symmetric to the
side-by-side case, but it is different because there's no way to transpose the
grid.

01 10
10 01

2 noisy celestial bodies diagonally.  Both have 2 rows and 2 columns that have
one of each state, so they are equivalent to each other.

01 10 11 11
11 11 01 10

3 noisy celestial bodies, similar to the case where only one of four is noisy.

11
11

4 noisy celestial bodies.

There are 7 distinct, non-equivalent grids in total, so answer(2, 2, 2) would
return 7.

Languages
=========

To provide a Python solution, edit solution.py
To provide a Java solution, edit solution.java

Test cases
==========

Inputs:
    (int) w = 2
    (int) h = 2
    (int) s = 2
Output:
    (string) "7"

Inputs:
    (int) w = 2
    (int) h = 3
    (int) s = 4
Output:
    (string) "430"

Use verify [file] to test your solution and see how it does. When you are
finished editing your code, use submit [file] to submit your answer. If your
solution passes the test cases, it will be removed from your home folder.

11 条回复 • 2018-10-25 15:28:52 +08:00