TRICOUNT - Counting Triangles
We define the LEVEL of a triangle as in the following illustrative image:
Task: Your task is very easy. All you have to do is to count all triangles in the biggest one (Level N).
Input
The first line of the input contains an integer T (T ≤ 10000) - the number of test cases and T lines follow. Each line contains an integer N (1 ≤ N ≤ 106) which is the level of the triangle in that test case.
Output
For each test case, you should write a seperate line: the number of triangles in the biggest one (Level N). (All answers will fit within the range of a 64-bit integer)
Example
Input:
3
1
2
3
Output:
1
5
13
Source limit is 500 bytes.
hide comments
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Gaurav Jain:
2015-06-15 14:16:39
My solution http://ideone.com/XC1fwx is showing runtime error. Can anyone help me to detect it? |
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r0bo_dart:
2015-06-12 20:10:57
lame question... formula oriented.. using recursion fails for N > 10^5
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Rishabh Joshi:
2015-05-30 14:02:21
using pow() caused WA. |
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Babloo:
2015-05-28 08:46:21
http://www.transum.org/Software/SW/Starter_of_the_day/starter_September23.asp may be useful
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kobe24:
2015-05-27 00:26:59
http://jwilson.coe.uga.edu/emt725/Bob/Count.Triangles.II.html
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Anton Chigurh:
2015-05-23 20:33:42
Because of the source code limitation, I literally had to minify my Java code the same way JavaScript files are minified. |
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scyth3r:
2015-05-07 00:18:45
"telescoping series" made calculations easy...... |
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Phong:
2015-04-21 15:45:07
@Singh - Thank you I got it :D |
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hareesh:
2015-04-21 08:47:37
Test Cases (Use them to get the pattern)
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Dushyant Singh:
2015-04-18 22:10:48
@Phong - We add layers of triangles level by level. In level 1, we have 1 triangle. In level 2, we add second layer of triangles below first layer such that a big triangle is formed. Same thing is for other levels. So for level 3, we add third layer of triangles below second level. |
| Added by: | nha.duong |
| Date: | 2007-08-05 |
| Time limit: | 1s |
| Source limit: | 500B |
| Memory limit: | 1536MB |
| Cluster: | Cube (Intel G860) |
| Languages: | All except: ASM64 ERL JS-RHINO NODEJS OBJC PERL6 SQLITE VB.NET |
| Resource: | Trần Huy Hưng |
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