Question

Elections are going on, and there are two candidates A and B, contesting with each other. There is a queue of voters and in this queue some of them are supporters of A and some of them are supporters of B. Many of them are neutral. The fate of the election will be decided on which side the neutral voters vote. Supporters of A and supporters of B make attempt to win the votes of neutral voters. The way this can be done is explained below: 1. The voter queue is denoted by three characters, viz {-, A, B}. The - denotes neutral candidate, A denotes supporter of candidate A and B denotes supporter of candidate B. 2. Supporters of A can only move towards the left side of the queue. 3. Supporters of B can only move towards the right side of the queue. 4. Since time is critical, supporters of both A and B will move simultaneously. 5. They both will try and influence the neutral voters by moving in their direction in the queue. If supporter of A reaches the neutral voter before supporter of B reaches him, then that neutral voter will become a supporter of candidate A. 6. Similarly, if supporter of B reaches the neutral voter before supporter of A reaches him, then that neutral voter will become a supporter of candidate B. 7. Finally, if both reach at the same time, the voter will remain neutral. A neutral vote cannot decide the outcome of the election. 8. If finally, the queue has more votes for candidate A, then A wins the election. If B has more votes, then B wins that election. If both have equal votes, then it will be a coalition government. Refer Examples section for understanding the dynamics of how the supporters influence the neutral voters. Your task is to find the outcome of the election. Note: There are no test cases where all votes are neutral. Constraints 1 <= length of queue <= 10 ^ 5 Input First line contains an integer which is length of queue of voters. Second line contains characters {-, A, B}, in which denotes · A = voter who is supporter of candidate A · B = voter who is supporter of candidate B · - = neutral voter Output Print candidate with maximum number of votes. If they have equal number of votes, print “Coalition government“. Time Limit 1 Examples Example 1 Input 14 --AB--AB---A-- Output A Explanation: For starting positions where there is no opposition from supporter of B, supporter of A can promote in left side of the queue. The voting queue will then look like below: A A A B - - A B - - - A - - From 4th place (in voting queue) B supporter is moving towards the right side, simultaneously 7th placed A supporter is also moving towards the left side. Then the voting queue will look like below: A A A B B A A B - - - A - - From 8th place B supporter is moving towards the right side, simultaneously 12th placed A supporter is also moving towards the left side. Then the voting queue will look like below: A A A B B A A B B - A A - - Since supporters of both A and B will reach the 10th voter at the same time, 10th voter will remain neutral. Since supporter of A at 12th place cannot move towards right, last 2 voters will not be influenced and remain neutral. Then the voting queue will look like below: A A A B B A A B B - A A - - Since all voter have now cast their votes, election results can now be declared. So final result is: A A A B B A A B B - A A - - A has 7 votes, B has 4 votes hence, A wins the election. Example 2 Input 4 A--- Output A Explanation: Since supporter of A at 1st place cannot move towards right, last 3 voters will not be influenced and will remain neutral. Then the voting queue will look like below: A - - - Since all voter have now cast their votes, election results can now be declared. So final result is: A - - - A has 1 vote, B has 0 votes hence, A wins the election. Example 3 Input 5 A---B Output Coalition government Explanation: Since supporter of A at 1st place cannot move towards right, supporter of B at 5th cannot move towards left, middle 3 voters will not be influenced and will remain neutral. Then the voting queue will look like below: A - - - B So final result is: A - - - B A has 1 vote, B has 1 vote hence, output will be “Coalition government“.​

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