We are looking for the minimum possible number of votes that Ramya can get and maximise the number of
votes that Amiya can get.
We can borrow the scenario from the previous question where Ramya runs an attacking campaign, and we
minimised the number of votes she can get.
To minimise the number of votes, we can have Ramya run a staid campaign to minimise the votes, so minimum
intensity, which will get her 20% of the votes if she ran with issues. Now that she is running with attacking, she
will loose 20% of the votes to Amiya and 5% of the votes will not vote anymore.
That is a total 25% loss. Remaining votes she will get is 75% of the 20% which will leave her with 15% of the
votes.
And to maximise the number of votes Amiya can get, we will have her run an vigorous issues campaign, which
will give her 2x20% of the votes, that is 40% of the votes. And since Ramya has been running an attacking
campaign, 20% of her votes are transferred to Amiya. 20% of the 20% of the votes which is 4% that were going
to Ramya will now go to Amiya. That will bring up Amiya's tally up to 44% leaving Ramya's tally at 15%.
The difference in the votes will be 44-15=29%.
This is the maximum possible vote difference between the two candidates that is possible.

We are looking for the minimum possible number of votes that Ramya can get when she runs an attacking
campaign.
To minimise the number of votes, we can have Ramya run a staid campaign to minimise the votes, so minimum
intensity, which will get her 20% of the votes if she ran with issues. Now that she is running with attacking, she
will loose 20% of the votes to Amiya and 5% of the votes will not vote anymore.
That is a total 25% loss. Remaining votes she will get is 75% of the 20% which will leave her with 15% of the
votes.

Amiya runs a campaign on issues, and we need to find the maximum vote share that she can get.
We are trying to maximise the number of voters for Amiya, that means Amiya needs to run a vigorous
campaign.
Since, we are trying to increase the vote share for Amiya, we want as many voters as possible transferred from
Ramya's share to Amiya's votes.
As the number of votes a candidate receives is proportional to the intensity level of the campaign, we want
Ramya also to run a vigorous AND attacking campaign, so that her votes are transferred to Amiya.
In this scenario we have 20x(2+2)% of the people voting, 80% of the people. Of that, if both had ran issues
campaign, they would have each received 40% of the votes.
Now, we want Ramya to run an attacking campaign, where 20% of the people that would have voted for her vote
for Amiya.
So 20% of 40% of the votes are transferred to Amiya. That is 8% of the votes. And we are also told that, 5% that
would have voted for her dont vote, so 5% of 40% dont vote, that is 2% of the voters.
Final Tally is Amiya gets 48% of the votes, and Ramya gets 30% of the votes

We want the minimum vote share, that means both the candidates run staid campaigns.
And, both the campaigns should be attacking, since we see that if one candidate runs an attacking campaign
whereas the other candidate runs an issues campaign, a fair number of voters get transferred to the other
candidate's vote share.
This points to us to a scenario where both the campaigns are staid and attacking, which is nothing but the
scenario described in the previous question.
If both Ramya and Amiya run staid campaigns, the intensity of each staid campaign is 1
So total number of voters that would vote for them if they focused on issues will be 20x(1+1)%=40%
This means if they had both ran regarding issues, then they would get 20% of votes each.
We are told that both of them run attacking campaigns,
And the rule for mutual attacking campaign is 10% of voters who would have voted for each candidate will not
vote.
That means 10% of 20% of each candidate will not vote, now that it is a mutually attacking campaign.
That means, each candidate receives 18% of the votes.
Total votes received is 36%, which is the minimum possible

If both Ramya and Amiya run staid campaigns, the intensity of each staid campaign is 1
So total number of voters that would vote for them if they focused on issues will be 20x(1+1)%=40%
This means if they had both ran regarding issues, then they would get 20% of votes each.
We are told that both of them run attacking campaigns,
And the rule for mutual attacking campaign is 10% of voters who would have voted for each candidate will not
vote.
That means 10% of 20% of each candidate will not vote, now that it is a mutually attacking campaign.
That means, each candidate receives 18% of the votes.
Total votes received is 36%.

Team that played Team 6 in Round 3 was Team 5.

The team that played Team 1 in Round 7 is 3.

2, 3 and 4 were part of the same group. 5 is the answer.

We are told that there are six teams, that are divided into two groups.
Teams in the same group will play each other only once, and teams in different group will play each other twice.
Calculating the combinations, there is going to be games among teams in the same group among them,
and since there is two groups, total such games will be 6.
Now, teams in different group play each other twice. Calculating the combinations for this,
From the first group, a team can be chosen in three ways, and from the second group, a team can be chosen in
three ways. Total ways two teams from different groups can play each other is 3x3 which is 9. And since they
play each other twice, that is 9+9 games of this combination.
Total number of games is 18+6=24
It is given that each team plays one game in each round, that means there is going to be 3 matchups in each
round. And given, there is 24 games to played in this format, the number of rounds will be 24/3=8
The tournament will have 8 rounds.
Now that we know there are going to be 8 rounds in the tournament, let us identify the teams in a particular
group, that will help us build the matchups.
We are told that Round 8 teams from different groups play each other, and Teams 1 and 5 play only once. This
means, 1 and 5 have to be on the same group. It is also told that 4 and 6 play each other twice, that means 4
and 6 have to be in different groups. Looking at the matches from Round 8 that is given to us, 3 played 6 and 2
played 5. We already know 1 and 5 are in the same group, so 2 must be in the other group. Among 3 and 6, if we
were to place 3 in the group with 1 and 5, 4 and 6 would have to be in the same group, which is not possible,
hence 6 is with 1 and 5, giving us the final combination of groups.
Now, using the given information to build the matchups for the 8 rounds.

Rounds marked with the same colour represent the fact that the matchups are identical. Now we know that
each team plays a game in each round, we know 2 out of the 3 matches for Round 2 and 8, and we can identify
the third matchups as well. Giving us this resulting table.
We are told that Round 4 and 7 are identical, that means they are the matchups between teams from two
different groups,
We look at the matchups that are remaining among the 6 teams where both the games are left to play.
Right away we identify that 6 is yet to play 2 twice and 5 once. We are looking for teams playing twice, so both
Round 4 and 7 has a matchups between 2 and 6. This means 6 will play 5 in Round 3 and using that we can
identify the third matchup in Round 3 as well.
Now, we can identify that 1 is yet to play 3 both the times, 2 once. And we are looking for teams playing each
other twice.