Problem
Let's say that number
a
feels comfortable with number b
if a ≠ b
and b
lies in the segment [a - s(a), a + s(a)]
, where s(x)
is the sum of x
's digits.
How many pairs
(a, b)
are there, such that a < b
, both a
and b
lie on the segment [L, R]
, and each number feels comfortable with the other?
Example
For
L = 10
and R = 12
, the output should becomfortableNumbers(L, R) = 2
.
Here are all values of
s(x)
to consider:s(10) = 1
, so10
is comfortable with9
and11
;s(11) = 2
, so11
is comfortable with9
,10
,12
and13
;s(12) = 3
, so12
is comfortable with9
,10
,11
,13
,14
and15
.
Thus, there are
2
pairs of numbers comfortable with each other within the segment [10; 12]
: (10, 11)
and (11, 12)
.
Input/Output
- [time limit] 500ms (cpp)
- [input] integer LGuaranteed constraints:
1 ≤ L ≤ R ≤ 1000
. - [input] integer RGuaranteed constraints:
1 ≤ L ≤ R ≤ 1000
. - [output] integerThe number of pairs satisfying all the above conditions.
Solution
The problem is pretty straightforward due to constraints of the problem. We need to look at 1000C2 pairs in the worst case. We look at all the pairs in the range [L, R] and check if the pair of integers in a given pair are comfortable to each other.
Code
int digitSum(int n){ int _sum = 0; while (n){ _sum += (n%10); n = n/10; } return _sum; } int comfortableNumbers(int L, int R) { int total_pairs = 0; for(int i=L; i<=R; i++){ for(int j=i+1; j<=R; j++){ int s_a = digitSum(i); int s_b = digitSum(j); if (j>= (i-s_a) and j<= (i+s_a) and i>= (j-s_b) and i<= (j+s_b) ) { total_pairs++; } } } return total_pairs; }
there are many iphone app development company but only few are good and this blog need to convert into a beautiful website.
ReplyDeleteYou know your projects stand out of the herd. There is something special about them. It seems to me all of them are really brilliant! seo expert
ReplyDeleteMaybe you have schoolwork, family photos, a book you wrote, or banking information you do not want anyone to touch. Getintopc
ReplyDeleteA portion of the main load-testing instruments utilized by engineers all inclusive are IBM Rational Performance Tester, Apache JMeter, LoadRunner and so on. microsoft registry cleaner
ReplyDeleteI was very pleased to find this site.I wanted to thank you for this great read!! I definitely enjoying every little bit of it and I have you bookmarked to check out new stuff you post http://www.getinntopc.com
ReplyDeleteHowever as this OS was simply and extension of https://www.alcodasoftware.com any earlier OS it became more and more difficult to made enhancements to it without compromising on the speed of the system,
ReplyDeleteSoftware testers can perform execution of these test cases to highlight any issues to the development team as early as possible. Filehippo
ReplyDeleteA way to solve the problem in a more concise manner is as follows.
ReplyDeletedef s(a):
return sum([int(x) for x in str(a)])
def comf(a, b):
return a != b and b in range(a-s(a), a+s(a)+1)
def comfortableNumbers(l, r):
return len([(a, b) for a in range(l, r+1) for b in range(a+1, r+1) if comf(a, b) and comf(b, a)])
The execution times should be similar
Maybe you have schoolwork, family photos, a book you wrote, or banking information you do not want anyone to touch.
ReplyDeleteigg games
It was nice unblock game . Very informative and expressive .things are easily play online at
ReplyDeleteunblock games
I am very Thankful to The Admin and Please Buddy Share your Knowledge Time to Time .
ReplyDeletefilehippo
file hippo
File hippo
Download Free PC Software
File hippo
A part of the principle load-testing instruments used Toward particular architects all comprehensive are IBM normal execution Tester, apache JMeter, LoadRunner et cetera.
ReplyDeletegood information presented by the admin..thank you
ReplyDeleteThis comment has been removed by the author.
ReplyDeleteThrough this information, all your activities can be tracked and traced, invading your privacy. Windows washer is a tool that help remove all these traces, and much more to help run your computer better and faster.Windows US
ReplyDeleteThere is a huge risk of your computer getting infecting. The best way to make your computer secure is to install one or more of the various computer security software that are available. best computer safety tool
ReplyDeleteI would like to say that this blog really convinced me to do it! Thanks, very good post. Adobe creative cloud offline
ReplyDelete