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 <vector>
#include <algorithm>

using namespace std;

int main(){

	int n,m;
	bool en=false;
	while(cin>>n>>m&&!(n==0&&m==0)){


		char chair[101];
		char ch;
		fill(chair,chair+101,'#');
		for(int i = 0; i < m; i++){
			cin>>ch;
			if(ch=='A'){
				for(int j = 0; j < n; j++){
					if(chair[j]=='#'){
						chair[j]=ch;
						break;
					}
				}
			}
			else if(ch=='B'){
				bool f=false;
				for(int j = n-1; j >=0; j--){
					if(chair[j]=='#'&&((j-1<0||chair[j-1]!='A')&&(j+1>=n||chair[j+1]!='A'))){
						chair[j]=ch;
						f=true;
						break;
					}
				}
				// ÀêÈ©Á½ê
				if(!f){
					for(int j = 0; j < n; j++){
						if(chair[j]=='#'){
							chair[j]=ch;
							break;
						}
					}
				}
			}
			else if(ch=='C'){
				bool f=false;
				for(int j = 0; j < n; j++){
					if(chair[j]!='#'){
						f=true;
						break;
					}
				}
				if(!f){
					chair[n/2]==ch;
				}
				else{
					for(int j = 0; j < n; j++){
						if(chair[j]!='#'){
							if(j+1<n&&chair[j+1]=='#'){
								chair[j+1]=ch;
								f=true;
								break;
							}
							else if((j-1>=0)&&chair[j-1]=='#'){
								chair[j-1]=ch;
								f=true;
								break;
							}
						}
					}
				}
			}
			else if(ch=='D'){
				int dists[101];
				fill(dists,dists+101,1000000);
				bool fff=false;
				for(int j = 0; j < n; j++){
					if(chair[j]!='#'){
						fff=true;
						break;
					}
				}
				if(fff==false){
					chair[0]=ch;
				}
				else{
					for(int j = 0; j < n; j++){
						if(chair[j]!='#'){
							for(int k = 0; k < n; k++){
								dists[k]=min(dists[k],abs(j-k));
							}
						}
					}
					int minCost=1000000;
					int idx;
					for(int j = 0; j < n; j++){
						if(chair[j]=='#'){
							if(minCost>dists[j]){
								minCost=dists[j];
								idx=j;
							}
						}
					}
					chair[idx]=ch;
				}
			}
		}
		for(int i = 0; i < n; i++){
			cout<<chair[i];
		}
		cout<<endl;
	}

	return 0;
}

C++: #include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <map>
#include <vector>
using namespace std;

char seat[110];
bool is_seat = false;
int n, m;

void A(){
  for(int i = 0 ; i < n ; i++){
    if(seat[i] == '#'){
      seat[i] = 'A';
      is_seat = true;
      return;
    }
  }
}

void B(){
  bool flag = false;
  for(int i = n-1 ; i >= 0 ; i--){
    if(seat[i-1] != 'A' && seat[i+1] != 'A' && seat[i] == '#'){
      seat[i] = 'B';
      flag = true;
      is_seat = true;
      return;
    }
  }
  if(!flag){
    for(int i = 0 ; i < n ; i++){
      if(seat[i] == '#'){
	seat[i] = 'B';
	is_seat = true;
	return;
      }
    }
  }
}

void C(){
  if(!is_seat){
    if(n % 2 == 1) seat[(n+1)/2-1] = 'C';
    else seat[n/2+1-1] = 'C';
    is_seat = true;
    return;
  }
  else{
    for(int i = 0 ; i < n ; i++){
      if(seat[i] != '#'){
	if(seat[i+1] == '#'){
	  seat[i+1] = 'C';
	  is_seat = true;
	  return;
	}
	else{
	  if(seat[i-1] == '#'){
	    seat[i-1] = 'C';
	    is_seat = true;
	    return;
	  }
	}
      }
    }
  }
}

int find_near(int x){
  int cnt = 0;
  int len;
  for(int i = x-1 ;  ; i--){
    cnt++;
    if(i < 0){
      cnt = 110;
      break;
    }
    if(seat[i] != '#') break;
  }
  len = cnt;
  cnt = 0;
  for(int i = x+1 ; ; i++){
    cnt++;
    if(i >= n){
      cnt = 110;
      break;
    }
    if(seat[i] != '#') break;
  }
  len = min(len, cnt);
  return len;
}
  
  
void D(){
  bool Must_left = false;
  bool Must_next = true;
  vector<pair<int, int> > check;
  if(!is_seat){
    is_seat = true;
    seat[0] = 'D';
    return;
  }
  
  for(int i = 0 ; i < n ; i++){
    if(seat[i-1] == '#' && seat[i+1] == '#') Must_next = false;
  }
  for(int i = 0 ; i < n ; i++){
    if(seat[i] == '#'){
      int len = find_near(i);
      check.push_back(make_pair(len, i));
    }
  }
  sort(check.begin(), check.end());
  /*for(int i = 0 ; i < check.size() ; i++){
    cout << check[i].first << endl;
  }*/
  int Max = check[check.size()-1].first;
  if(check[check.size()-2].first == Max) Must_left = true; //same
  
  /*for(int i = 0 ; i < check.size() ; i++){
    if(check[i].first == check[i+1].first) Must_left = true;
  }
*/
  if(Must_left || Must_next){
    for(int i = 0 ; i < n ; i++){
      if(seat[i] == '#'){
	seat[i] = 'D';
	is_seat = true;
	return;
      }
    }
  }
  else{
    seat[check[check.size()-1].second] = 'D';
    is_seat = true;
    return;
  }
}

int main(){
  while(cin >> n >> m){
    if(n == 0 && m == 0) break;
    fill(seat, seat+110, '#');
    char p;
    int a;
    is_seat = false;
    while(m--){
      cin >> p;
      if(p == 'A') A();
      else if(p == 'B') B();
      else if(p == 'C') C();
      else if(p == 'D') D();
      /*else if(p == 'F'){
	cin >> a;
	seat[a] = 'N';
      }
      for(int i = 0 ; i < n ; i++)cout << seat[i];
      cout << endl;*/
    }
    for(int i = 0 ; i < n ; i++)cout << seat[i];
    cout << endl;
  }
  return 0;
}