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<cstdlib>
#include<cstring>
#include<cmath>
#include<cassert>
#include<iostream>
#include<sstream>
#include<string>
#include<vector>
#include<queue>
#include<set>
#include<map>
#include<utility>
#include<numeric>
#include<algorithm>
#include<bitset>
#include<complex>

using namespace std;

typedef long long Int;
typedef vector<int> vint;
typedef pair<int,int> pint;
#define mp make_pair

template<class T> void pv(T a, T b) { for (T i = a; i != b; ++i) cout << *i << " "; cout << endl; }
template<class T> void chmin(T &t, T f) { if (t > f) t = f; }
template<class T> void chmax(T &t, T f) { if (t < f) t = f; }
int in() { int x; scanf("%d", &x); return x; }

int chairs[110];
int n,m;

void fa(){
	int i;
	for(i=0;i<n;i++){
		if(chairs[i]==0){
			chairs[i]=1;
			return;
		}
	}
}

void fb(){
	int i;
	for(i=n-1;i>=0;i--){
		if(chairs[i]==0&&(i==n-1||chairs[i+1]!=1)&&(i==0||chairs[i-1]!=1)){
			chairs[i]=2;
			return;
		}
	}
	for(i=0;i<n;i++){
		if(chairs[i]==0){
			chairs[i]=2;
			return;
		}
	}
}

void fc(){
	int i;
	for(i=0;i<n;i++){
		if(chairs[i]==0)continue;
		if(i!=n-1&&chairs[i+1]==0){
			chairs[i+1]=3;
			return;
		}
		if(i!=0&&chairs[i-1]==0){
			chairs[i-1]=3;
			return;
		}
	}
	if(n%2==0){
		chairs[n/2+1]=3;
		return;
	}else{
		chairs[(n+1)/2]=3;
		return;
	}
}

void fd(){
	int i,j;
	int c=0,d=0,dd;
	for(i=0;i<n;i++){
		if(chairs[i]==0){
			for(j=1;i-j>=0;j++){
				if(chairs[i-j]!=0)break;
			}
			if(i-j<0)j=n;
			dd=j;
			for(j=1;i+j<n;j++){
				if(chairs[i+j]!=0)break;
			}
			if(i+j==n)j=n;
			chmin(dd,j);
			if(d<dd){
				c=i;
				d=dd;
			}
		}
	}
	chairs[c]=4;
	return;
}

int main() {
	while(cin>>n>>m){
		int i;
		string str;
		for(i=0;i<n;i++)chairs[i]=0;
		for(i=0;i<m;i++){
			cin>>str;
			if(str[0]=='A')fa();
			if(str[0]=='B')fb();
			if(str[0]=='C')fc();
			if(str[0]=='D')fd();
		}
		for(i=0;i<n;i++){
			if(chairs[i]==0)cout<<"#";
			else if(chairs[i]==1)cout<<"A";
			else if(chairs[i]==2)cout<<"B";
			else if(chairs[i]==3)cout<<"C";
			else if(chairs[i]==4)cout<<"D";
		}
		cout<<endl;
	}
	return 0;
}

C++: #include<iostream>
#include<algorithm>
using namespace std;
int main()
{
  while(true){
    int n,m;
    cin >> n >> m;
    if( n == 0 && m == 0 ) break;
    char C[n+2];
    fill(C,C+n+2,'#');
    for(int p = 0; p < m; ++p){
      char c;
      cin >> c;
      if(c=='A'){
	for(int i = 1; i < 1+n; ++i){
	  if( C[i] == '#' ){
	    C[i] = 'A';
	    break;
	  }
	}
      }else if(c=='B'){
	bool sc=false;
	for(int i = n; i >= 1; --i){
	  if( C[i] == '#' && C[i-1] != 'A' && C[i+1] != 'A' ){
	    C[i] = 'B';
	    sc=true;
	    break;
	  }
	}
	if(!sc){
	  for(int i = 1; i < n+1; ++i){
	    if( C[i] == '#' ){
	      C[i] = 'B';
	      break;
	    }
	  }
	}
      }else if(c=='C'){
	bool sc = false;
	for(int i = 1; i < 1+n; ++i){
	  if( C[i-1] != '#' ){
	    if( C[i] != '#' ) continue;
	    else{
	      C[i] = 'C';
	      sc = true;
	      break;
	    }
	  }
	}
	if( !sc ){
	  if( n % 2 == 0 ){
	    C[ n/2 + 1 ] = 'C';
	  }else{
	    C[ (n+1)/2 ] = 'C';
	  }
	}
      }else if(c=='D'){
	int max_dist = 0;
	int nearest_dist[n+2];
	fill(nearest_dist,nearest_dist+n+2,-1);
	bool empty=true;
	for(int i = 1; i < 1+n; ++i){
	  if( C[i] != '#' ) empty=false;
	}
	if(empty){C[1]='D';continue;}
	
	for(int i = 1; i < 1+n; ++i){
	  if( C[i] != '#' ) continue;
	  int min_right = n+3, min_left = n+3;
	  for(int j = i - 1; j >= 0; --j){
	    if( C[j] != '#'){
	      min_left = min( min_left, i - j );
	      break;
	    }
	  }
	  for(int j = i + 1; j < 2+n; ++j){
	    if( C[j] != '#'){
	      min_right = min( min_right,  j - i );
	      break;
	    }
	  }

	  nearest_dist[i] = min( min_right, min_left );
	  max_dist = max( max_dist, nearest_dist[i] );
	}
	for(int i = 1; i < i+n; ++i){
	  //cout << nearest_dist[i] << ' ' << max_dist << endl;
	  if( nearest_dist[i] == max_dist ){
	    C[i] = 'D';
	    break;
	  }
	}
      }
    }
    for(int i = 1; i < 1+n; ++i){
      cout << C[i];
    }
    cout << endl;
  }
  return 0;
}

C++: #include<iostream>
using namespace std;
int main(){
long n,m,i,j,d[101],e[101],k,dd;
char c,a[101];
while(cin>>n){
cin>>m;
if(n==0)break;
for(i=0;i<n;i++)a[i]='#';
for(j=0;j<m;j++){
cin>>c;
if(c=='A'){
for(i=0;i<n;i++)if(a[i]=='#'){a[i]='A';break;}
}else if(c=='B'){
for(i=n-1;i>=0;i--){
if(0<i&&a[i-1]!='A'&&i<n-1&&a[i+1]!='A'){a[i]='B';break;}
else if(0<i&&a[i-1]!='A'){a[i]='B';break;}
else if(i<n-1&&a[i+1]!='A'){a[i]='B';break;}
}
if(i<0){for(i=0;i<n;i++)if(a[i]=='#'){a[i]='B';break;}}
}else if(c=='C'){
for(i=0;i<n;i++){
if(a[i]!='#'){
if(i<n-1&&a[i+1]=='#'){a[i+1]='C';break;}
else if(i>0&&a[i-1]=='#'){a[i-1]='C';break;}
}
}
if(i==n)a[n/2]='C';
}else if(c=='D'){
for(i=0;i<n;i++)d[i]=-1;
for(i=0;i<n;i++)if(a[i]!='#')break;
if(i==n){a[0]='D';continue;}
for(;i<n;i++)if(a[i]=='#')d[i]=d[i-1]+1;else d[i]=0;
for(i=0;i<n;i++)e[i]=-1;
for(i=n-1;i>=0;i--)if(a[i]!='#')break;
for(;i>=0;i--)if(a[i]=='#')e[i]=e[i+1]+1;else e[i]=0;
for(i=0;i<n;i++)if(d[i]<e[i])d[i]=e[i];
dd=d[n-1];
for(i=n-1;i>=0;i--)if(dd<=d[i]){dd=d[i];k=i;}
a[k]='D';
}
}
a[n]=0;cout<<a<<endl;
}
return 0;
}