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EIGHTS - Triple Fat Ladies |
Pattern Matchers have been designed for various sorts of patterns. Mr. HKP likes to observe patterns in numbers. After completing his extensive research on the squares of numbers, he has moved on to cubes. Now he wants to know all numbers whose cube ends in 888.
Given a number k, help Mr. HKP find the kth number (indexed from 1) whose cube ends in 888.
Input
The first line of the input contains an integer t, the number of test cases. t test cases follow.
Each test case consists of a single line containing a single integer k (1 <= k <= 2000000000000).
Output
For each test case, output a single integer which denotes the kth number whose cube ends in 888. The result will be less than 263.
Example
Input: 1 1 Output: 192
| Added by: | Matthew Reeder |
| Date: | 2006-10-30 |
| Time limit: | 1.197s |
| Source limit: | 30000B |
| Memory limit: | 1536MB |
| Cluster: | Cube (Intel G860) |
| Languages: | All except: ERL JS-RHINO NODEJS PERL6 VB.NET |
| Resource: | Al-Khawarizm 2006 |
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2024-12-25 11:12:03
ac in one go apllied rest mass of moving photon. |
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2021-08-21 15:46:08
for JAVA use "long" datatype.. |
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2021-02-19 10:02:44
@fawad That's because your are printing 0 in the front in your 1st solution. |
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2021-01-08 21:08:48
Ac in 1st time.... |
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2020-07-12 13:41:02
cout << front << last << endl; gave wrong answer, but 1000LL*front+(long long)last gave ac. i wonder why weather it waits for endline or not. |
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2020-06-21 16:36:44
a fun fact why is that name triple fat ladies!! well 8 looks like a fat lady you know what i mean :p |
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2020-05-20 14:03:04
Hint : Check Pattern like 1*1*1=1 (NO) . . . . 192*192*192=7077888 (YES) . . . 442*442*442 = 86350888 (YES) . . . . Check The pattern Where cube ends in 888 Then Apply arithmetic progression Formula -_- |
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2020-05-06 09:09:26
ac in first go !! |
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2020-04-30 20:31:26
Just AP.. a=192, d=250; cout<<192+(k-1)*250; Last edit: 2020-04-30 20:31:48 |
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2020-04-18 11:10:35
Tips to solve this problem: - You can try generating all numbers from 1 to say 10000 and check which numbers' cubes would end in 888. With the help of these numbers, you can try finding out the pattern. - Given in the test case already 1st number ending with 888 is 192. Now, if a number's cube has to end with 888, then (192+x)^3 should end in 888. Since 192 already ends with 888, you need your x to be such that the rest of the terms end in 000s. Try to find the smallest number that could do this to find the pattern. - For C++ users, use long long int for k and for the answer. You wouldn't need any string manipulations. Hope this helps! :) |
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