**Problem : ISL Schedule**

The Indian Soccer League (ISL) is an annual football tournament.

The group stage of ISL features

The group stage of ISL features

**N**teams playing against each other with following set of rules:**N**teams play against each other twice - once at Home and once Away- A team can play only one match per day
- A team cannot play matches on consecutive days
- A team cannot play more than two back to back Home or Away matches
- Number of matches in a day has following constraints
- The match pattern that needs to be followed is -
- Day 1 has two matches and Day 2 has one match,
- Day 3 has two matches and Day 4 has one match and so on

- There can never be 3 or more matches in a day

- The match pattern that needs to be followed is -
- Gap between two successive matches of a team cannot exceed floor(N/2) days where floor is the mathematical function floor()
- Derby Matches (any one)
- At least half of the derby matches should be on weekend
- At least half of the weekend matches should be derby matches

**Input Format:**

First line contains number of teams (

**N**).

Next line contains state ID of teams, delimited by space

**Output Format:**

Match format:

**Ta-vs-Tb**

where

**Ta**is the home team with id

**a**and

**Tb**is the away team with id

**b**.

For each day print the match(es) in following format:-

- Two matches:- "
**#D Ta-vs-Tb Tm-vs-Tn**" - One match:- "
**#D Tx-vs-Ty**"

**Constraints:**

**1. 8 <= N <= 100**

**Note :**

- Team ids are unique and have value between 1 to N
- Day id starts with 1
- Every 6
^{th}and 7^{th}day are weekends - Derby is a football match between two teams from the same state

**Sample Input and Output**

SNo. | Input | Output |
---|---|---|

1 | 8 1 2 5 4 3 1 6 6 | #1 T1-vs-T6 T3-vs-T5 #2 T7-vs-T4 #3... and so on |

Note:- There can be multiple correct answers for the same test cases. For better understanding of test case refer this PDF. This PDF contains one of the correct answer for a test case.

**Explanation:**

There are 8 teams with following information:-

Team ID | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |

State ID | 1 | 2 | 5 | 4 | 3 | 1 | 6 | 6 |