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 <set>
#include <vector>
#include <string>
#include <utility>
#include <algorithm>
#include <stdio.h>
using namespace std;
typedef pair<int,int> P;
int chair[10001];
int n,m;
void A(){
	int ans=0;
	while(chair[ans]!=0)ans++;
	chair[ans]=1;
	return;
}
void B(){
	for(int i=n-1;i>=0;i--){
		if(chair[i]==0){
			if(i==0&&chair[1]!=1){chair[0]=2;return;}
			else if(i==n-1&&chair[n-2]!=1){chair[n-1]=2;return;}
			else if(0<i&&i<n-1&&chair[i-1]!=1&&chair[i+1]!=1){chair[i]=2;return;}
		}
	}
	int ans=0;
	while(chair[ans]!=0)ans++;
	chair[ans]=2;
	return;
}
void C(){
	int ans=0;
	if(chair[0]!=0){
		while(chair[ans]!=0)ans++;
		chair[ans]=3;
		return;
	}
	for(int i=0;i<n;i++){
		if(chair[i]!=0){
			chair[i-1]=3;
			return;
		}
	}
	if(n%2)chair[(n+1)/2]=3;
	else chair[n/2+1]=3;
	return;
}
void D(){
	int a=0,f=0;
	P bl[5000];
	bool in=false;
	chair[n]=5;
	for(int i=0;i<=n;i++){
		if(in&&chair[i]!=0){
			in=false;bl[a++]=P(f,i);
		}else if(!in&&chair[i]==0){
			in=true;f=i;
		}
	}
	for(int i=0;i<a;i++)printf("bl[%d]:[%d,%d)\n",i,bl[i].first,bl[i].second);
	if(bl[0].first==0&&bl[0].second==n){
		chair[0]=4;return;
	}else{
		int m,mlen=0;
		for(int i=0;i<a;i++){
			if(bl[i].second-bl[i].first>mlen){
				mlen=bl[i].second-bl[i].first;m=i;
			}
		}
		if(mlen%2){
			chair[bl[m].first+(mlen-1)/2]=4;return;
		}else{
			chair[bl[m].first+mlen/2-1]=4;return;
		}
	}
}
int main()
{
	while(cin>>n>>m&&(n||m)){
		fill(chair,chair+n,0);
		while(m--){
			char c;cin>>c;
			if(c=='A')A();
			if(c=='B')B();
			if(c=='C')C();
			if(c=='D')D();
		}
		for(int i=0;i<n;i++){
			if(chair[i]==0)cout<<'#';
			if(chair[i]==1)cout<<'A';
			if(chair[i]==2)cout<<'B';
			if(chair[i]==3)cout<<'C';
			if(chair[i]==4)cout<<'D';
		}
		cout<<endl;
	}
    return 0;
}

C++: #include<stdio.h>
#include<algorithm>
using namespace std;
char str[101];
char c[2];
int p[100];
int ABS(int a){return a<0?-a:a;}
int main(){
	int a,b;
	while(scanf("%d%d",&a,&b),a+b){
		for(int i=0;i<a;i++)str[i]='#';
		str[a]=0;
		bool ok;
		for(int i=0;i<b;i++){
			scanf("%s",c);
			switch(c[0]){
				case 'A':
					for(int j=0;j<a;j++)
						if(str[j]=='#'){
							str[j]='A';
							break;
						}
					break;
				case 'B':
					ok=false;
					for(int j=a-1;j>=0;j--){
						if(str[j]=='#'&&(j==0||str[j-1]!='A')&&str[j+1]!='A'){
							ok=true;
							str[j]='B';
							break;
						}
					}
					if(!ok){
						for(int j=0;j<a;j++)
							if(str[j]=='#'){
								str[j]='B';
								break;
							}
					}
					break;
				case 'C':
					if(i==0){
						str[a/2]='C';
					}else{
						ok=false;
						for(int j=0;j<a;j++){
							if(str[j]!='#')ok=true;
							if(ok&&str[j]=='#'){
								str[j]='C';
								break;
							}
						}
					}
					break;
				case 'D':
					for(int j=0;j<a;j++)p[j]=9999;
					for(int j=0;j<a;j++){
						if(str[j]!='#'){
							for(int k=0;k<a;k++)p[k]=min(p[k],ABS(j-k));
						}
					}
					int at=0;
					int cost=0;
					for(int j=0;j<a;j++){
						if(cost<p[j]){at=j;cost=p[j];}
					}
			//		printf("%d %d\n",at,cost);
					str[at]='D';
					break;
			}
			//	printf("%s\n",str);
		}
		printf("%s\n",str);
	}
}

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

#define MAX 100

using namespace std;

int n,m;
char chair[MAX+1];
 
void A(){
  for(int i = 0 ; i < n ; i++){
    if(chair[i] == '#'){
      chair[i] = 'A';
      return;
    }
  }
}

void B(){
  int pos = -1;
  
  for(int i = 0 ; i < n ; i++){
    if(chair[i] == 'A'){
      pos = i;
      break;
    }
  }
  
  if(pos == -1){
    for(int i = n-1 ; i >= 0 ; i--){
      if(chair[i] == '#'){
        chair[i] = 'B';
        return;
      } 
    }
  }
  else{
    for(int i = n-1 ; i > 0 ; i--){
      if(i == n-1){
	if(chair[i-1] != 'A'){
	  chair[i] = 'B';
	  return;
	}
      }else{
	if(chair[i] == '#' && chair[i-1] != 'A' && chair[i+1] != 'A'){
	  chair[i] = 'B';
	  return;
	}
      }
    }
 
    for(int i = 0 ; i < n ; i++){
      if(chair[i] == '#'){
        chair[i] = 'B';
        return;
      }
    }
  }
}
 
void C(){
  int cnt = count(chair,chair+n,'#');
 
  if(cnt == n){
    if(n % 2){
      chair[(n+1)/2] = 'C';
    }
    else{
      chair[n/2+1] = 'C';
    }
  }
  else{
    for(int i = 0 ; i < n ; i++){
      if(chair[i] != '#' && i != n-1 && chair[i+1] == '#'){
        chair[i+1] = 'C';
        return;
      }else if(chair[i] != '#' && i > 0 && chair[i-1] == '#'){
        chair[i-1] = 'C';
        return;
      }
    }
  }
}
 
void D(){
  int Breadth = 0, pos;
  int cnt = count(chair,chair+n,'#');

  if(cnt == n){
    chair[0] = 'D';
    return;
  } 

  for(int i = 0 ; i < n ; i++){
    int dist = (1<<29);
    if(chair[i] != '#') continue;
    for(int j = 0 ; j < n ; j++){
      if(chair[j] != '#'){
        dist = min(dist,abs(j-i));
      }
    }
    if(Breadth < dist){
      Breadth = dist;
      pos = i;
    } 
  }
 
  chair[pos] = 'D';
}
 
int main(){
  while(cin >> n >> m , n | m){
    char person;
 
    for(int i = 0 ; i < n ; i++)
      chair[i] = '#';
 
    for(int i = 0 ; i < m ; i++){
      cin >> person;
      
      switch(person){
      case 'A': 
        A(); 
        break;
      case 'B': 
        B(); 
        break;
      case 'C': 
        C(); 
        break;
      case 'D': 
        D(); 
        break;
      }
 
    }
 
    for(int i = 0 ; i < n ; i++){
      cout << chair[i];
    }
    cout << endl;
  }
 
  return 0;
}