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
		}
		chair := make([]string, n+1)
		for i := range chair {
			chair[i] = "#"
		}
		chair[n] = "Sentinel"
		for i := 0; i < m; i++ {
			scanner.Scan()
			switch who := scanner.Text(); who {
			case "A": // 左から眺めて行って空いている席があったら即座に座る
				for j := 0; j < n; j++ {
					if chair[j] == "#" {
						chair[j] = "A"
						break
					}
				}
				// log.Println(chair)
				break // 次の人を読み込む
			case "B":
				flag := true
				// 右端からAの隣でない席を探していく
				for j := n-1; j > -1; j-- {
					if chair[j] == "#" && (j == 0 || chair[j-1] != "A") && chair[j+1] != "A" {
						flag = false
						chair[j] = "B"
						break
					}
				}
				// Aの隣しか空いていないので一番左端の空いている席に座る
				if flag {
					for j := 0; j < n; j++ {
						if chair[j] == "#" {
							chair[j] = "B"
							break
						}
					}
				}
				// log.Println(chair)
				break // 次の人を読み込む
			case "C":
				if i == 0 {
					chair[n/2] = "C" // 先客が誰もいないときは真ん中の椅子に座る
				} else {
					for j := 0; j < n; j++ { // 左から舐めて
						if chair[j] != "#" { // その席が空いていなくて
							if chair[j+1] == "#" { // 右隣が空いているなら座る
								chair[j+1] = "C"
								break
							} else if j != 0 && chair[j-1] == "#" { // 右隣が空いていないので左隣に座る
								chair[j-1] = "C"
								break
							}
						}
					}
				}
				// log.Println(chair)
				break // 次の人を読み込む
			case "D":
				distanceTable := make([]int ,n)
				for j := range distanceTable {
					distanceTable[j] = INF
				}
				for j:= 0; j < n; j++ {
					if chair[j] != "#" {
						for k := 0; k < n; k++ {
							distanceTable[k] = min(distanceTable[k], abs(j-k))
						}
					}
				}
				// log.Println("distanceTAble:", distanceTable)
				at := 0
				distance := 0
				for j := 0; j < n; j++ {
					if distance < distanceTable[j] {
						at = j
						distance = distanceTable[j]
					}
				}
				chair[at] = "D"
				// log.Println(chair)
				break // 次の人を読み込む
			}
		}
		fmt.Println(strings.Join(chair, ""))
	}
}

func min(a, b int) int {
	if a > b {
		return b
	}
	return a
}

func abs(a int) int {
	if a < 0 {
		return -a
	}
	return a
}

C++: #include <cstdio>
#include <cstdlib>
#include <cmath>
#include <climits>
#include <cfloat>
#include <map>
#include <utility>
#include <set>
#include <iostream>
#include <memory>
#include <string>
#include <vector>
#include <algorithm>
#include <functional>
#include <sstream>
#include <complex>
#include <stack>
#include <queue>
#include <cstring>
#include <sstream>
#include <cassert>
#include <list>
using namespace std;
static const double EPS = 1e-10;
typedef long long ll;
typedef pair<int,int> PI;
typedef vector<int> vi;
#ifndef M_PI
#define M_PI 3.14159265358979323846
#endif
#define rep(i,n) for(int i=0;i<(int)n;++i)
#define FOR(i,c) for(__typeof((c).begin())i=(c).begin();i!=(c).end();++i)
#define ALL(c) (c).begin(), (c).end()
#define mp(a,b) make_pair(a,b)
#define pb(a) push_back(a)
#define F first
#define S second

int dx[]={0,1,0,-1},dy[]={1,0,-1,0};

int seki[111];

main(){
  int m,n;
  while(cin>>n>>m,n|m){
    string seat;
    rep(i,n)seat+='#';

    rep(i,m){
      cout<<seat<<" "<<m-i<<endl;
      char c;
      int pos=0;
      cin>>c;
      switch(c){
      case 'A':
	pos=0;
	while(seat[pos]!='#')++pos;
	seat[pos]='A';
	break;
      case 'B':
	pos=n-1;
	while(true){
	  if(pos<0)break;
	  if(seat[pos]!='#'){
	    --pos;
	    continue;
	  }
	  if(pos && seat[pos-1]=='A'){
	    --pos;
	    continue;
	  }
	  if(pos+1<n && seat[pos+1]=='A'){
	    --pos;
	    continue;
	  }
	  seat[pos]='B';
	  break;
	}
	if(pos==-1){
	  pos=0;
	  while(seat[pos]!='#')++pos;
	  seat[pos]='B';
	}
	break;
      case 'C':
	if(i==0){
	  if(n%2)seat[(n+1)/2-1]='C';
	  else seat[n/2]='C';
	}else{
	  pos=0;
	  while(seat[pos]!='#')++pos;
	  if(pos)seat[pos]='C';
	  else{
	    pos=0;
	    while(seat[pos]=='#')++pos;
	    seat[pos-1]='C';
	  }
	}
	break;
      case 'D':
	if(i==0){
	  seat[0]='D';
	  continue;
	}
	memset(seki,0,sizeof(0));
	int maxt=0,maxpos=0;

	if(seat[0]=='#'){
	  seki[0]=1;
	  maxt=1;
	  maxpos=1;
	}
	pos=1;
	while(pos<n){
	  if(seat[pos]=='#')seki[pos]=seki[pos-1]+1;
	  else seki[pos]=0;
	  if(seki[pos]>maxt){
	    maxt=seki[pos];
	    maxpos=pos;
	  }
	  ++pos;
	}
	//rep(j,n)cout<<seki[j]<<" ";
	//cout<<endl;
	//cout<<maxpos<<" "<<maxt<<endl;
	if(maxpos==n-1)seat[n-1]='D';
	else if(maxpos==maxt-1)seat[0]='D';
	else if(maxt%2)seat[maxpos-maxt/2]='D';
	else seat[maxpos-maxt/2]='D';
	break;
      }
    }
    cout<<seat<<endl;
  }
}

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

using namespace std;

int n, m;
char ch[102];
bool f;

void funcA()
{
  for(int i = 1; i <= n; ++i)
    if(ch[i] == '#'){
      ch[i] = 'A';
      break;
    }

  return ;
}

void funcB()
{
  for(int i = n; i > 0; --i)
    if(ch[i-1] != 'A' && ch[i+1] != 'A' && ch[i] == '#'){
      ch[i] = 'B';
      return ;
    }

  for(int i = 1; i <= n; ++i)
    if(ch[i] == '#'){
      ch[i] = 'B';
      break;
    }

  return ;
}

void funcC()
{
  if(f){
    int t = (n%2 == 0)? (n/2+1): ((n+1)/2);
    ch[t] = 'C';
    return ;
  }

  for(int i = 1; i <= n; ++i)
    if(ch[i] != '#'){
      if(ch[i+1] == '#' && i+1 <= n){
	ch[i+1] = 'C';
	break;
      }
      if(ch[i-1] == '#' && i-1 > 0){
	ch[i-1] = 'C';
	break;
      }
    }

  return ;
}

void funcD()
{
  int a[102], p;
  fill(a, a+102, 0);

  for(int i = 1; i <= n; ++i){
    if(ch[i] == '#'){
      p = i-1;
      while(0 < p && ch[p] == '#'){
	a[i]++;
	--p;
      }
      p = i+1;
      while(p <= n && ch[p] == '#'){
	a[i]++;
	++p;
      }
    } else {
      a[i] = -1;
    }
  }

  p = 1;
  for(int i = 2; i <= n; ++i)
    if(a[i] > a[p]) p = i;
  ch[p] = 'D';

  return ;
}

int main()
{
  char p;

  while(cin>>n>>m && (n+m)){
    fill(ch, ch+102, '#');
    f = true;
    while(m--){
      cin >> p;
      if(p == 'A') funcA();
      if(p == 'B') funcB();
      if(p == 'C') funcC();
      if(p == 'D') funcD();
      f = false;
    }

    for(int i = 1; i <= n; ++i) cout << ch[i];
    cout << endl;
  }

  return 0;
}

C++: #include <iostream>
#include <cstring>
using namespace std;

#define REP(i,n,m) for(int i=n;i<m;i++)
#define rep(i,n) REP(i,0,n)

int n;
char s[104];

int A(void){
	rep(i,n) if(s[i] == '#') return i;
	return -1;
}

int B(void){
	for(int i=n-1;i>=0;i--){
		if(s[i] == '#'){
			int l = i - 1;
			int r = i + 1;
			if(l >= 0 && s[l] == 'A') continue;
			if(r < n && s[r] == 'A') continue;

			return i;
		}
	}

	return -1;
}

int C(void){
	rep(i,n){
		if(s[i] != '#'){
			int l = i - 1;
			int r = i + 1;
			if(r < n && s[r] == '#') return r;
			if(l >= 0 && s[l] == '#') return l;
		}
	}

	return -1;
}

int D(void){
	int res = -1;
	int maxDist = 0;

	rep(i,n){
		if(s[i] == '#'){
			int ldist;
			int rdist;

			for(ldist=i-1;ldist>=0 && s[ldist]=='#';ldist--);
			for(rdist=i+1;rdist<n && s[rdist]=='#';rdist++);

			if(ldist < 0) ldist = i;
			if(rdist >= n) rdist = i;

			ldist = i - ldist;
			rdist = rdist - i;

			if(maxDist < min(ldist==0?999:ldist,rdist==0?999:rdist)){
				res = i;
				maxDist = min(ldist==0?999:ldist,rdist==0?999:rdist);
			}
		}
	}

	return res;
}

int main(void){
	int m;

	while(cin>>n>>m && (n||m)){
		memset(s,'#',sizeof(s));

		rep(i,m){
			int idx;
			char ch;
			cin>>ch;

			switch(ch){
			case 'A':
				s[A()] = 'A';
				break;
			case 'B':
				idx = B();
				s[(idx == -1 ? A() : idx)] = 'B';
				break;
			case 'C':
				idx = C();
				s[(idx == -1 ? n/2 : idx)] = 'C';
				break;
			case 'D':
				s[(i == 0 ? 0 : D())] = 'D';
				break;
			}
		}

		rep(i,n) cout<<s[i];
		cout<<endl;
	}

	return 0;
}