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 <cstdio>
#include <cstring>
#include <vector>
#include <algorithm>

using namespace std;

int main()
{
	int n, m;
	char str[10001];
	
	while (scanf("%d %d", &n, &m) && n){
		memset(str, '#', sizeof(str));
		vector<int> used;
		str[n] = 0;
		for (int i = 0; i < m; i++){
			char p;
			scanf(" %c", &p);
			
			if (p == 'A'){
				for (int pos = 0; pos < n; pos++){
					if (str[pos] == '#'){
						str[pos] = 'A';
						used.push_back(pos);
						break;
					}
				}
			}
			if (p == 'B'){
				bool seated = false;
				for (int pos = n - 1; pos; pos--){
					if (str[pos] == '#' && (pos == 0 || str[pos - 1] != 'A')){
						str[pos] = 'B';
						used.push_back(pos);
						seated = true; break;
					}
				}
				if (!seated)
					for (int pos = 0; pos < n; pos++){
					if (str[pos] == '#'){
						str[pos] = 'B'; used.push_back(pos);
						break;
					}
				}
			}
			if (p == 'C'){
				if (i == 0){
					if (n & 1){
						str[(n + 1) / 2 - 1] = 'C';
						used.push_back((n + 1) / 2 - 1);
					}
					else {
						str[n / 2] = 'C';
						used.push_back(n / 2);
					}
				}
				else {
					for (int pos = 0; pos < n; pos++){
						if (str[pos] != '#'){
							if (pos + 1 < n && str[pos + 1] == '#'){
								str[pos + 1] = 'C';
								used.push_back(pos + 1);
								break;
							}
							if (pos - 1 >= 0 && str[pos - 1] == '#'){
								str[pos - 1] = 'C';
								used.push_back(pos - 1);
								break;
							}
						}
					}
				}
			}
			if (p == 'D'){
				if (i == 0){
					str[0] = 'D';
					used.push_back(0);
				}
				else {
					sort(used.begin(), used.end());
					int minDist = 999999, minPos = -1;
					for (int pos = 0; pos < n; pos++){
						if (str[pos] == '#'){
							int a = upper_bound(used.begin(), used.end(), pos) - used.begin() - 1;
							int b = upper_bound(used.begin(), used.end(), pos) - used.begin();
							int tDist = 0;
							if (a != -1) tDist = max(tDist, pos - used[a]);
							if (b != used.size()) tDist = max(tDist, used[b] - pos);
							if (tDist < minDist){
								minDist = tDist;
								minPos = pos;
							}
						}
					}
					str[minPos] = 'D';
					used.push_back(minPos);
				}
			}
		}
		printf("%s\n", str);
	}
}

C++: #include<bits/stdc++.h>
using namespace std;
int main(){
  int n,m;
  while(cin>>n>>m,n){
    string s;
    for(int i=0;i<n;i++)s+='#';
    while(m--){
      string p;
      cin>>p;
      if(p=="A"){
        for(int i=0;i<n;i++)
          if(s[i]=='#'){
            s[i]='A';
            break;
          }
      }
      if(p=="B"){
        int pp=0;
        for(int i=n-1;i>0;i--)
          if(s[i-1]!='A'&&s[i]=='#'){pp++,s[i]='B';break;}
        if(!pp)for(int i=0;i<n;i++)
             if(s[i]=='#'){
               s[i]='B';
               break;
            }
      }
      if(p=="C"){
        int pp=0;
        for(int i=0;i<n;i++)
          if(s[i]!='#'){
            if(i){if(s[i-1]=='#'){s[i-1]='C';pp++;break;}}
            if(i!=n-1){if(s[i+1]=='#'){s[i+1]='C';pp++;break;}}
          }
        if(!pp){
          if(n%2)s[(n+1)/2]='C';
          else s[n/2+1]='C';
        }
      }
      else if(p=="D"){
        int d[n]={},p=0,sp=0;
        for(int i=0;i<n;i++){
          int p1=0,p2=0;
          for(int j=i;j<n;j++)
            if(s[j]=='#')p1++;
            else break;
          for(int j=i;j>=0;j--)
            if(s[j]=='#')p2++;
            else break;
            sp=max(max(p1,p2),sp);
          p1=min(p1,p2);
          p=max(p,p1);
          d[i]=p1;
        }
        if(sp==n)s[0]='D';
        else for(int i=0;i<n;i++)
          if(d[i]==p){
            s[i]='D';
            break;
          }
      }

    }
    cout<<s<<endl;
  }
}