CAGES - Lights, Snakes and Cages
In the zoo there are N cages in which we keep N snakes: each snake in its cage. For experimental reasons, in a month we will move each snake to a different cage: this reordering is given in the input.
Each cage is illuminated by special light, which may be of type A, type B or type C. Your task is to assign the lights A, B, C to the cages so that:
- each snake will change its lighting, i.e. it will be moved to the cage illuminated differently from the cage it currently inhabits;
- lightings are equally distributed, i.e. the number of cages A, the number of cages B and the number of cages C differ by at most one.
Input
The first line contains an integer N (2 ≤ N ≤ 300 000), the number of snakes and cages. Cages are numbered from 1 to N.
Each of the next N lines contains an integer. When K-th of these lines contains the number L, it means that the snake from the cage K will be moved to the cage L (K ≠ L). Two snakes will not move to the same cage.
Output
Print the string composed of the characters A, B and C, such that the K-th character denotes the lighting of the cage K. If there are multiple solutions, print any.
Example
Input: 4 4 3 2 1 Output: ACBC
hide comments
anurag garg:
2014-03-28 04:48:36
thanks for the reply...
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Adrian Satja Kurdija:
2014-03-27 21:59:52
@garg Your program fails on this case:
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anurag garg:
2014-03-27 20:43:13
@author can you have a look at my submission :11341176 and tell me where my algorithm fails
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Bhavik:
2014-03-26 18:51:35
@psetter: thank you
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Adrian Satja Kurdija:
2014-03-26 18:35:34
ABABC |
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Bhavik:
2014-03-26 18:13:06
@psetter: can you kindly tell what will be the output of this:
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Adrian Satja Kurdija:
2014-03-26 17:59:34
Yes. |
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Bhavik:
2014-03-26 12:15:38
@psetter: can u kindly explain the testcase? can ACAB be also the ans to the given test case?? Last edit: 2014-03-26 12:54:15 |
Added by: | Adrian Satja Kurdija |
Date: | 2014-03-24 |
Time limit: | 1s |
Source limit: | 50000B |
Memory limit: | 1536MB |
Cluster: | Cube (Intel G860) |
Languages: | All except: ASM64 |
Resource: | Croatia nationals 2014 (6th grade, 3rd problem "Zmije") |