Problem C
Say NO to
Memorization
Input: Standard Input
Output: Standard Output
Time Limit: 2 Seconds
Kamran has a very simple but uncommon (I
mean cannot just be copied from pages of your book) problem for you. Can you
prove by solving it that you are not one of those who only memorize pseudo
codes before algorithm exam? The problem is stated below:
A general equation of second degree with
two variables is ax^{2}
+ by^{2} + cxy + dx + ey + f = 0, You can see that it has six terms on
the left hand side (LHS). A general equation of second degree
with two variables and with only terms of even degree is ax^{2} + by^{2} + cxy + d = 0, which has only four terms in LHS. A general equation of third degree with two variables
with only terms of odd degree is ax^{3}
+ by^{3} + cx^{2}y + dxy^{2} + ex + fy = 0, which has only six terms in LHS. Given the degree (n) and number of variables (v) your job is
a)
If n is even you should determine the number
of terms in a general equation of n-degree with v variables and only with terms of even degree OR
b)
If n is odd you should determine the number
of terms in a general equation of n-degree with v variables and only with terms of odd degree.
Output
For each line of input
produce one line of output. This line contains one integer T that indicates the
number of terms on the left hand side of a general equation of degree n,
v variables
and only of odd degree terms when n is odd or only of even degree terms when n is even. You can
assume that the input will be such that output will always fit in a 64-bit signed
integer.
2
2 4
2 20
10 0 0 |
4 9 17978389 |
Problemsetter: Shahriar Manzoor, Member of Elite Problemsetters' Panel
Special Thanks to Derek Kisman, Member of Elite Problemsetters' Panel (Alternate Sol)
“No matter how loud I shout nothing will change as the people related
to the system don’t want to change it. The big oil producing
companies never want solar cars in the market, do they?”