#B4114. Rock-Paper-Scissors Game Outcome

    ID: 11771 Type: Default 1000ms 256MiB

Rock-Paper-Scissors Game Outcome

Rock-Paper-Scissors Game Outcome

You are given two strings of length \(N\): \(S\) and \(T\). The string \(S\) contains only the characters R and S, and the string \(T\) contains only the characters R and P. Here, the characters represent the following gestures in the game of Rock-Paper-Scissors:

  • R represents Rock
  • S represents Scissors
  • P represents Paper

Aoi and Bitaro play \(N\) rounds of Rock-Paper-Scissors. In the \(i\)-th round \((1 \leq i \leq N)\), Aoi's gesture is given by \(S_i\) and Bitaro's gesture is given by \(T_i\). Determine the number of rounds in which Aoi wins and the number of rounds in which Bitaro wins.

The rules of Rock-Paper-Scissors are as follows:

  • Rock beats Scissors, i.e. \(R \to S\)
  • Scissors beats Paper, i.e. \(S \to P\)
  • Paper beats Rock, i.e. \(P \to R\)

If both players choose the same gesture, the round is a tie and neither wins.

inputFormat

The input consists of three lines:

  1. An integer \(N\) representing the number of rounds.
  2. A string \(S\) of length \(N\) which contains only the characters R and S.
  3. A string \(T\) of length \(N\) which contains only the characters R and P.

outputFormat

Output two integers separated by a space: the number of rounds Aoi wins and the number of rounds Bitaro wins.

sample

3
RSR
RRP
0 2