CRDS - Cards
Maricruz have a lot of cards, she always uses her cards to build pyramids as shown in the following image:
A pyramid card of 3 levels. She always wonder how many cards does she need to make a pyramid card of N levels. Your task is to answer that question.
Input
The first line of the input contains an integer 1 <= T <= 1,000. Each of the following T lines will have an integer 1 <= N <= 1,000,000.
Output
For each case, output a single line consisting of the number of cards needed to build a pyramid card of level N modulo 1,000,007.
Example
Input Example 2 3 7 Output Example 15 77
hide comments
tiksna:
2020-01-11 20:32:59
It's just simple math. Try finding an equation by analyzing the pattern |
|
hellb0y_suru:
2019-12-20 16:45:54
at i'th level, there are 'i' triangles , each triangle takes 3 cards (except the last level's triangle which takes only 2 cards)
|
|
lx_lovin:
2019-12-06 13:53:07
Use Memoization |
|
dartes:
2019-12-02 01:52:13
Why should we use long long for n? The range is 1 <= n <= 1000000. Costed me few WA's |
|
trhgquan:
2019-11-04 16:28:01
using DP, AC in 1 node. |
|
darker__space:
2019-10-02 15:54:00
make sure you take modulo(% ) at the final answer ...applying modulo meanwhile ...in wrong way may change ur answer and give wrong answer :<
|
|
codequant:
2019-09-24 09:59:50
Piece of cake! Just find the pattern in the image given. NOTE: Don't forget the last Modulo part of the problem. |
|
s_h_i_1:
2019-07-27 08:25:54
general formula is very easy to derive... think level wise ... after that use modulo property [ (a*b)%c =( (a%c)*(b%c))%c ] |
|
aryan29:
2019-05-31 23:16:47
Easy one |
|
py_tyagi:
2019-05-11 07:45:54
doing it level%(1000000007) but it is(1000007) |
Added by: | Paulo Costa |
Date: | 2012-01-30 |
Time limit: | 1s |
Source limit: | 50000B |
Memory limit: | 1536MB |
Cluster: | Cube (Intel G860) |
Languages: | All except: ASM64 |
Resource: | UGTO |