Czech ACM Student Chapter
Czech Technical University in Prague
Charles University in Prague
Technical University of Ostrava
acm
ˇ a
Slovak University of Technology
Pavol Jozef Saf´rik University in Koˇice
s
cz
ˇ
University of Zilina
Masaryk University
Matej Bel University in Bansk´ Bystrica
a
University of West Bohemia
CTU Open Contest 2013
Flower Pots
fp.c, fp.cpp, Fp.java
Freddy is planning a garden party for this weekend. Many old classmates are going to pay him
a visit and Freddy is thinking about some elegant and unexpected improvement of his small
horticultural oasis. Inspired by the creations in his favorite gardening journals he decided to
install two flower arrangements on the opposite sides of the walkway leading to his garden. To
match the other plants in the vicinity, one arrangement has to be in light bronze yellow and the
other in dark pastel red color. The pots in which the flowers will be placed have to be painted
with the same matching colors.
Freddy knows that it is much cheaper and faster to buy new pots than to repaint existing ones.
Thus, being pressed by fast-approaching date of the party, Freddy has decided to purchase flower
pots from a small company which not only can deliver pots painted with exact colors needed
but they can deliver them today afternoon. The owner of the company is a Dutch artist who
specializes herself in designs far from ordinary. Her very special pots are manufactured in so-
called pentomino shapes and they can be flipped over so that their top side can serve as the
bottom side and vice versa.
A pentomino-shaped flower pot is made of five squares welded together so that sides of any
two neighboring squares always touch each other along the whole edge. In the actual pots,
each square is about ten square feet, but the size does not matter for this problem, it is only
important that all squares in all shapes are of the same size. There are exactly 12 possible
shapes, they are listed in the figure below and each shape is traditionally named by a letter to
which it bears some resemblance. (with Freddy's favorite shape being F, of course)
N
P
I
T
L
F
Z
Y
W
X
V
U
Freddy is going to buy two yellow pots and two red pots. For aesthetical reasons, he wants
both arrangements to be of equal shape. Two pots of the same color will be put on the lawn
closely together so that the divisions between them will not be visible and only the outline of
the whole arrangement will be important for judging the equality of shapes. In the resulting
arrangements, no pots can overlap.
Freddy has to choose the pots carefully because some pairs are clearly incompatible from this
point of view (such as W+F and I+I), some other may be compatible but it might not be
immediately obvious that they really are (such as P+U and V+Z and their possible arrangement
in the figure below). Therefore, Freddy asks you for a help. You are given two yellow pots and
two red pots and your program should decide if two arrangements with the same outline can be
created.
Z
U
P
V
Input Specification
The input contains several test cases. Each test case consists of one line. The line starts with
two letters that specify the shapes of two yellow pots, then there is one space and other two
letters giving the shapes of two red pots. All four letters are in uppercase and each of them is
one of the 12 valid letters listed above.
Output Specification
For each test case, output a single line of text. The line should contain "YES" if an arrangement
exists which can be composed from both pairs of yellow pots and red pots. If there is no such
arrangement, the line should contain "NO".
Sample Input
II PP
WF II
VZ UP
Output for Sample Input
YES
NO
YES
