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[:len(chair)-1], ""))
	}
}

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 <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<bits/stdc++.h>
using namespace std;
typedef long long int lld;
#define INF 100000
int main(){
  int n,m;
  while(cin >> n >> m , n || m){
    string str = "";
    for(int i=0;i<n;i++) str += '#';
    for(int c=0;c<m;c++){
      char h; cin >> h;
      if(h == 'A'){
	for(int i=0;i<n;i++){
	  if(str[i] == '#'){
	    str[i] = h;
	    break;
	  }
	}
      } else if(h == 'B'){
	int first = -1;
	bool flg = true;
	for(int i=n-1;i>=0;i--){
	  if(first == -1 && str[i] == '#') first = i;
	  if(str[i] == '#' && str[i-1] != 'A' && str[i+1] != 'A'){
	    str[i] = h;
	    flg = false;
	    break;
	  }
	  if(flg) str[first] = h;
	}
      } else if(h == 'C'){
	if(c == 0) str[(n%2==1 ? (n+1)/2 : (n/2+1)) -1] = 'C';
	else {
	  for(int i=0;i<n;i++){
	    if(str[i] != '#'){
	      if(str[i+1] == '#') {
		str[i+1] = h;
		break;
	      }
	      if(str[i-1] == '#') {
		str[i-1] = h;
		break;
	      }
	    }
	  }
	}
      } else {
	int first = -1;
	int k = (c==0 ? 0 : 1);
	int MAX=0,j,m,MAXi;
	for(int i=0;i<n;i++){
	  if(str[i]=='#'){
	    for(j=i-1;j>=0;j--) if(str[j]!='#') break;
	    for(m=i+1;m<n;m++) if(str[m]!='#') break;
	    if(j==-1) j = INF;
	    if(m==n) m = INF;
	    if(j==INF){
	      if(k-i > MAX) MAX = m-i,MAXi=i,MAXi=i;
	    } else if(m==INF){
	      if(i-j > MAX) MAX = i-j,MAXi=i;
	    } else{
	      if(min(m-i,i-j) > MAX) MAX=min(m-i,i-j),MAXi=i;
	    }
	  }
	}
	if(MAX == 0) str[first] = h;
	else str[MAXi] = h;
      }
    }
    cout << str << endl;
  }
}

C++: #include<iostream>
#include<string.h>
#include<cstdio>
using namespace std;
int main() {
	int n, m, temp;
	char str, str2[10001], str3[10001] = { NULL };
	while (1) {
		cin >> n >> m;
		if (n == 0 && m == 0)return 0;
		for (int i = 0; i < m; i++) {
			cin >> str2[i];
		}
		for (int i = 0; i < n; i++) {
			str3[i] = '#';
		}
		for (int i = 0; i < m; i++) {
			if (str2[i] == 'A') {
				for (int j = 0; j < n; j++) {
					if (str3[j] == '#') {
						str3[j] = 'A';
						goto end;
					}
				}
			}
			else if (str2[i] == 'B') {
				for (int j = n - 1; j > 0; j--) {
					if (str3[j] == '#'&&str3[j - 1] != 'A'&&str3[j + 1] != 'A') {
						str3[j] = 'B';
						temp++;
						goto end;
					}
				}
				if (temp == 0) {
					for (int j = 0; j < n; j++) {
						if (str3[j] == '#') {
							str3[j] = 'B';
							goto end;
						}
					}
				}
				temp = 0;
			}
			else if (str2[i] == 'C') {
				for (int j = 0; j < n; j++) {
					if (str3[j] != '#') {
						if (str3[j + 1] == '#') {
							str3[j + 1] = 'C';
							temp++;
							goto end;
						}
					}
				}
				if (temp == 0) {
					if (n % 2 == 0)temp = n / 2 + 1;
					else temp = (n + 1) / 2;
					for (int j = 0; j < n; j++) {
						if (str3[j] == '#')/*goto end*/;
						if (j == n - 1)str3[temp] = 'C';
					}
				}
				temp = 0;
			}
			else if (str2[i] == 'D') {
				temp = 0;
				int gun = 0, x, y;
				for (int j = 0; j < n; j++) {
					int  q = 0, w = 0;
					if (str3[j] == '#') {
						x = y = j;
						while (1) {
							x++;
							y--;
							if (x <= n || y > 0) {
								if (str3[x] == '#' &&x <= n) {
									q++;
									if (gun < q && gun>0) {
										str3[x] = 'D';
										str3[gun] = '#';
										gun = q;
										temp++;
									}
								}
								if (str3[y] == '#' &&y > 0) {
									w++;
									if (gun < w&& gun>0) {
										str3[y] = 'D';
										str3[gun] = '#';
										gun = w;
										temp++;
									}
								}
							}
							else {
								goto loop;
							}
						}
					}
				}
			loop:
				if (temp == 0) {
					for (int j = 0; j < n; j++) {
						if (str3[j] == '#') {
							str3[j] = 'D';
							goto end;
						}
					}
				}
				temp = 0;
			}
		end:;
			/*for (int i = 0; i < n; i++) {
				cout << str3[i];
			}
			cout << endl;*/
		}
		for (int i = 0; i < n; i++) {
			cout << str3[i];
		}
		cout << endl;
	}
}