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<stdio.h>
#include<string.h>
#include<math.h>
int main(void)
{
	int a,s,d[100],f,g,h,i,j,k,c,x[3],o;
	char z[2];
	while(1){
		scanf("%d %d",&a,&s);
		if(a==0&&s==0) break;
		f=a;
		for(i=0;i<a;i++) d[i]=0;
		for(i=0;i<s;i++){
			scanf("%s",z);
			if(z[0]=='A'){
				for(j=0;j<a;j++){
					if(d[j]==0){
						d[j]=1;
						f--;
						break;
					}
				}
			}
			else if(z[0]=='B'){
				g=0;
				for(j=a-1;j>=0;j--){
					if(d[j]==0&&d[j+1]!=1&&d[j-1]!=1){
						d[j]=2;
						f--;
						break;
					}
					if(d[j]==0) g++;
					if(f==g){
						d[j]=2;
						f--;
						break;
					}
				}
			}
			else if(z[0]=='C'){
				if(a==f){
					if(a%2==1){
						d[((a+1)/2)-1]=3;
						f--;
					}
					else if(a%2==0){
						d[a/2]=3;
						f--;
					}
				}
				else if(a>f){
					for(j=0;j<a;j++){
						if(d[j]>0){
							if(d[j-1]==0&&j-1>=0){
								d[j-1]=3;
								f--;
								break;
							}
							else if(d[j+1]==0&&j+1<a){
								d[j+1]=3;
								f--;
								break;
							}
						}
					}
				}
			}
			else if(z[0]=='D'){
				h=-1;
				c=-1;
				int v=0;
				x[0]=0;
				x[1]=0;
				for(j=a-1;j>=0;j--){
					if(d[j]>0&&v==0){
						h=j;
						if(d[0]==0){
							x[0]=h-1;
							x[1]=0;
						}
						v=1;
					}
					else if(d[j]>0&&v==1){
						c=j;
					}
					if(c>-1&&h>-1){
						if((h-c)%2==1){
							if(x[0]<=((h-c)/2-1)){
								x[0]=(h-c)/2-1;
								x[1]=h-(h-c)/2-1;
							}
						}
						else if((h-c)%2==0){
							if(x[0]<=(h-c)/2){
								x[0]=(h-c)/2;
								x[1]=h-(h-c)/2;
							}
						}
					}
					if(c>-1) h=c;
				}
				if(d[a-1]==0){
					if(x[0]<(a-1)-c){
						x[0]=(a-1)-c;
						x[1]=a-1;
					}
				}
				if(h==-1) x[1]=0;
				else if(c==-1){
					x[0]=(a-1)-h;
					x[1]=a-1;
					if(x[0]<h) x[1]=0;
				}
				d[x[1]]=4;
				f--;
			}
		}
		for(i=0;i<a;i++){
			if(d[i]==0) printf("#");
			else if(d[i]==1) printf("A");
			else if(d[i]==2) printf("B");
			else if(d[i]==3) printf("C");
			else if(d[i]==4) printf("D");
		}
		printf("\n");
	}
	return 0;
}

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

using namespace std;
#define rep(i,n) for(int i = 0 ; i < n ; ++i)
using ll = long long;

vector<int> ans;
void solve(int n,int m){
    string ans(n,'#');
    rep(i,m){
        char c;
        cin>>c;
        if(c=='A'){
            int idx=0;
            while(ans[idx]!='#')++idx;
            ans[idx]='A';
        }
        else if(c=='B'){
            int idx = n-1;
            bool ok=false;
            while(1){
                if(ans[idx]!='#'){
                    --idx;
                    continue;
                }
                if(idx>0&&ans[idx-1]=='A'){
                    --idx;
                    continue;  
                }
                if(idx<n-1&&ans[idx+1]=='A'){
                    --idx;
                    continue;  
                }
                ans[idx]='B';
                ok=true;
                break;
            }
            if(!ok){
                int idx=0;
                while(ans[idx]!='#')++idx;
                ans[idx]='A';
            }
        }

        else if(c=='C'){
            if(i==0){
                ans[n/2]='C';
            }
            else {
                int idx=0;
                while(1){
                    if(ans[idx]=='#'){
                        ++idx;
                        continue;
                    }
                    if(idx<n-1&&ans[idx+1]=='#'){
                        ans[idx+1]='C';
                        break;
                    }
                    if(idx>0&&ans[idx-1]=='#'){
                        ans[idx-1]='C';
                        break;
                    }
                    ++idx;
                }
            }
        }
        else {
            if(i==0){
                ans[0]='D';
                continue;
            }
            vector<int> dist(n,1000);
            rep(k,n){
                if(ans[k]!='#'){
                    rep(j,n)dist[j]=min(dist[j],abs(k-j));
                }
            }
            int ma = -1, idx = -1;
            rep(j,n){
                if(dist[j]>ma){
                    ma=dist[j];
                    idx = j;
                }
            }
            ans[idx]='D';
        }
    }
    cout<<ans<<endl;
}

int main(){
    int n,m;
    while(cin>>n>>m,n!=0)solve(n,m);
}