The V Epidemic is spreading fast around the world. Suppose that there are N cities, numbered from 0 to (N-1), arranged in a circular manner. City 0 is connected to city 1, to 2, ., city (N-2) to city (N-1), and city (N-1) to city 0. If you know that the V virus is currently at city X. Each day, it jumps from its current city to the city within a distance K to its right, i.e., from city X to the city (X+K)%N. As the V virus jumps, the cities in- between don't get infected. Cities once infected stay infected. You live in city Y. Find if it will reach your city eventually. If it will, print YES, else print NO.

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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Question
5:15 +(65 O O
Constraints
1sNs 1000
Os X, Y s N-1
0sKs 1000
SInput Format
The first and only line of each tes
case contains four space-
separated integers N, K, X, and Y,
denoting the number of cities, the
size of jumps, the V virus's current
city, and the city that you live in,
respectively.
E Output Format
Print YES if V virus shall reach your
city after a finite number of days,
else print NO.
Sample #1
Input
A
Transcribed Image Text:5:15 +(65 O O Constraints 1sNs 1000 Os X, Y s N-1 0sKs 1000 SInput Format The first and only line of each tes case contains four space- separated integers N, K, X, and Y, denoting the number of cities, the size of jumps, the V virus's current city, and the city that you live in, respectively. E Output Format Print YES if V virus shall reach your city after a finite number of days, else print NO. Sample #1 Input A
5:15 +(65 O O
e Challenge task
The V Epidemic is spreading fast
around the world. Suppose
that there are N cities, numbered
from 0 to (N-1), arranged in a
circular manner. City 0 is
connected to city 1, to 2,.,
city (N-2) to city (N-1), and
city (N-1) to city 0.
If you know that the V virus is
currently at city X. Each day, it
jumps from its current city to the
city within a distance K to its right,
i.e., from city X to the city (X+K)%N.
As the V virus jumps, the cities in-
between don't get infected. Cities
once infected stay infected. You
live in city Y. Find if it will reach
your city eventually. If it will,
print YES, else print NO.
Transcribed Image Text:5:15 +(65 O O e Challenge task The V Epidemic is spreading fast around the world. Suppose that there are N cities, numbered from 0 to (N-1), arranged in a circular manner. City 0 is connected to city 1, to 2,., city (N-2) to city (N-1), and city (N-1) to city 0. If you know that the V virus is currently at city X. Each day, it jumps from its current city to the city within a distance K to its right, i.e., from city X to the city (X+K)%N. As the V virus jumps, the cities in- between don't get infected. Cities once infected stay infected. You live in city Y. Find if it will reach your city eventually. If it will, print YES, else print NO.
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