Go: package main

import (
	"bufio"
	"os"
	"strings"
	"strconv"
	"fmt"
	)

var scanner = bufio.NewScanner(os.Stdin)
const INF = 0x7FFFFFFF

func main() {
	for scanner.Scan() {
		buf := strings.Split(scanner.Text(), " ")
		n, _ := strconv.Atoi(buf[0])
		m, _ := strconv.Atoi(buf[1])
		if n == 0 && m == 0 {
			break
		}
		chairs := make([]string, n)
		for i := range chairs {
			chairs[i] = "#"
		}
		sit := func(who string) {
			if who == "A" {
				chairs[getStringIndex(chairs, "#")] = "A" // A国の人は左から見て行って空いている席を見つけ次第座る
				// log.Println(chairs)
			} else if who == "B" {
				f := true
				for i := n-1; i > -1; i-- {
					// B国の人はA国人の隣以外で、右端から空いている椅子に座る
					if chairs[i] == "#" && (i == 0 || chairs[i-1] != "A") && (i == n-1 || chairs[i+1] != "A") {
								chairs[i] = "B"
								f = false
								break
					}
				}
				// A国人の隣しか空いていない場合、我慢して左端から空いている椅子に座る
				if f {
					chairs[getStringIndex(chairs, "#")] = "B"
				}
				// log.Println(chairs)
			} else if who == "C" { // C国人は人の隣に座りたい
				for i := 0; i < n; i++ {
					if chairs[i] != "#" {
						if i + 1 <= n-1 && chairs[i+1] == "#" {
							chairs[i+1] = "C"
							break
						} else if i - 1 >= 0 && chairs[i-1] == "#" {
							chairs[i-1] = "C"
							break
						}
					}
				}
				// log.Println(chairs)
			} else { // who == "D"
				// D国の人は人から離れて座りたい
				// どうしても誰かの隣に座らなければならない場合、その中で一番左側にある椅子に座る
				scores := make([]int, n)
				for i := range scores {
					scores[i] = INF
				}
				for i, v := range chairs {
					if v == "#" {
						scores[i]++
					}
				}
				for i := n-1; i > -1; i-- {
					tmp := 0
					if chairs[i] == "#" {
						tmp++
					} else {
						tmp = 0
					}
					scores[i] = min(scores[i], tmp)
				}
				chairs[getIntIndex(scores, getMax(scores))] = "D"
				// log.Println(chairs)
			}
		}
		scanner.Scan()
		if first := scanner.Text(); first == "A" || first == "D" {
			chairs[0] = first
		} else if first == "B" {
			chairs[len(chairs)-1] = "B"
		} else {
			chairs[n/2] = "C"
		}
		// log.Println(chairs)
		for i := 0; i < m-1; i++ {
			scanner.Scan()
			sit(scanner.Text())
		}
		fmt.Println(strings.Join(chairs, ""))
	}
}

func getStringIndex(chairs []string, who string) int {
	for i, v := range chairs {
		if v == who {
			return i
		}
	}
	return -1
}

func getIntIndex(scores []int, target int) int {
	for i, v := range scores {
		if v == target {
			return i
		}
	}
	return -1
}

func min(a, b int) int {
	if a > b {
		return b
	}
	return a
}

func getMax(scores []int) int {
	tmp := -1
	for _, v := range scores {
		if tmp < v {
			tmp = v
		}
	}
	return tmp
}

C++: #include <iostream>
#include <string>
#include <cmath>
#include <algorithm>
//#include <set>

int n, m; //??????, ???

int main() {
    while(std::cin >> n >> m, n + m) {
        std::string str(n, '#');

        char q;
        for(int a = 0; a < m; ++a) {
            std::cin >> q;

            bool ok;
            switch(q) {
            case 'A':
                str[str.find("#")] = 'A';
                break;
            case 'B':
                ok = false;
                for(int i = n - 1; i >= 0; --i) {
                    if((i == 0 || str[i - 1] != 'A') && (i == n - 1 || str[i + 1] != 'A')) {
                        ok = true;
                        str[i] = 'B';
                        break;
                    }
                }
                if(!ok) {
                    str[str.find("#")] = 'B';
                }
                break;
            case 'C':
                ok = false;
                for(int i = 0; i < n; ++i) {
                    if(str[i] != '#') {
                        if(str[i + 1] == '#') {
                            str[i + 1] = 'C';
                            ok = true; break;
                        }
                        if(i != 0) {
                            str[i + 1] = 'C';
                            ok = true; break;
                        }
                    }
                }

                if(!ok) {
                    str[n / 2] = 'C';
                }
                break;
            case 'D':
                int dist[101];
                for(int i = 0; i < n; ++i) {
                    int d = 1e+9;
                    if(str[i] == '#') {
                        for(int j = 0; j < n; ++j) {
                            if(str[j] != '#') {
                                d = std::min(d, std::abs(i - j));
                            }
                        }
                    }
                    
                    dist[i] = d;
                }

                int minIdx = 0;
                for(int i = 0; i < n; ++i) {
                    if(dist[i] < dist[minIdx]) {
                        minIdx = i;
                    }
                }

                str[minIdx] = 'D';

                break;
            }
        }

        std::cout << str << std::endl;
    }
}

C++: #include<iostream>
#include<string>
#include<algorithm>

using namespace std;

void PersonA(string&);
void PersonB(string&);
void PersonC(string&);
void PersonD(string&);
int SeatCheck(int, string);
bool NotEmptySeat(const char&);

int main(){
  int i, n, m;
  string c;

  while(1){
    cin >> n >> m;
    if(n == 0 && m == 0) break;

    string chair(n, '#');

    for(i=0; i<m; ++i){
      cin >> c;

      if(c == "A") PersonA(chair);
      else if(c == "B") PersonB(chair);
      else if(c == "C") PersonC(chair);
      else if(c == "D") PersonD(chair);
    }

    cout << chair << endl;
  }

  return 0;
}

void PersonA(string& s){
  string::iterator iter;

  iter = find(s.begin(), s.end(), '#');
  *iter = 'A';
}

void PersonB(string& s){
  int i, isFound = 0;
  string::iterator iter;

  if(s[s.size()-1] == '#' && s[s.size()-1] != 'A'){
    s[s.size()-1] = 'B';
    isFound = 1;
  }else{
    for(i=s.size()-2; i>0; --i){
      if(s[i] == '#' && s[i-1] != 'A' && s[i+1] != 'A'){
	s[i] = 'B';
	isFound = 1;
	break;
      }
    }
    if(isFound == 0){
      if(s[0] == '#' && s[1] != 'A'){
	s[0] = 'B';
	isFound = 1;
      }
    }
  }

  if(isFound == 0){
    iter = find(s.begin(), s.end(), '#');
    *iter = 'B';
  }
}

void PersonC(string& s){
  string::iterator iter1, iter2;

  iter1 = find_if(s.begin(), s.end(), NotEmptySeat);
  if(iter1 == s.end()){
    if(s.size()%2 == 1) s[(s.size()-1)/2] = 'C';
    else s[s.size()/2] = 'C';
  }else{
    iter2 = find(iter1 +1, s.end(), '#');
    if(iter2 == s.end()) *(iter1 -1) = 'C';
    else *iter2 = 'C';
  }
}

void PersonD(string& s){
  int i, n, count=0, _count, countleft, countright;
  string::iterator iter;

  iter = find_if(s.begin(), s.end(), NotEmptySeat);
  if(iter == s.end()){
    s[0] = 'D';
  }else{
    for(i=0; i<s.size(); ++i){
      if(s[i] == '#'){
	_count = SeatCheck(i, s);
	if(_count > count){
	  n = i;
	  count = _count;
	}
      }
    }

    if(count == 0){
      iter = find(s.begin(), s.end(), '#');
      *iter = 'D';
    }else{
      s[n] = 'D';
    }
  }
}

int SeatCheck(int n, string s){
  int i, count1, count2, isFound1=0, isFound2=0;

  for(i=n-1, count1=0; i>=0; --i, ++count1){
    if(s[i] != '#'){
      isFound1 = 1;
      break;
    }
  }
  for(i=n+1, count2=0; i<s.size(); ++i, ++count2){
    if(s[i] != '#'){
      isFound2 = 1;
      break;
    }
  }

  if(isFound1 == 0){
    return count2;
  }else if(isFound2 == 0){
    return count1;
  }else{
    if(count1 < count2) return count1;
    else return count2;
  }
}

bool NotEmptySeat(const char& c){
  if(c == '#') return false;
  else return true;
}