# Popular Vote

## Input

The first line of input contains a single positive integer $T \leq 500$ indicating the number of test cases. The first line of each test case also contains a single positive integer $n$ indicating the number of candidates in the election. This is followed by $n$ lines, with the $i$th line containing a single nonnegative integer indicating the number of votes candidate $i$ received.

There are at least $2$ and no more than $10$ candidates in each case, and each candidate will not receive more than $50\, 000$ votes. There will be at least one vote cast in each election.

## Output

Provide a line of output for each test case. If the winner
receives more than half of the votes, print the phrase
`majority winner` followed by the candidate number of
the winner. If the winner does not receive more than half of
the votes, print the phrase `minority winner` followed
by the candidate number of the winner. If a winner cannot be
determined because no single candidate has more vote than
others, print the phrase `no winner`. The candidate
numbers in each case are $1, 2,
\ldots , n$.

Sample Input 1 | Sample Output 1 |
---|---|

4 3 10 21 10 3 20 10 10 3 10 10 10 4 15 15 15 45 |
majority winner 2 minority winner 1 no winner minority winner 4 |