1
  2
  3
  4
  5
  6
  7
  8
  9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
 20
 21
 22
 23
 24
 25
 26
 27
 28
 29
 30
 31
 32
 33
 34
 35
 36
 37
 38
 39
 40
 41
 42
 43
 44
 45
 46
 47
 48
 49
 50
 51
 52
 53
 54
 55
 56
 57
 58
 59
 60
 61
 62
 63
 64
 65
 66
 67
 68
 69
 70
 71
 72
 73
 74
 75
 76
 77
 78
 79
 80
 81
 82
 83
 84
 85
 86
 87
 88
 89
 90
 91
 92
 93
 94
 95
 96
 97
 98
 99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
// {{{ file: des.cc | time: 11:47 15.03.2024
#define _USE_MATH_DEFINES
#include <bits/stdc++.h>

#define each(...)    for (auto& __VA_ARGS__)
#define rep(i, b, e) for (int i = (b); i <= (e); i++)
#define rev(i, b, e) for (int i = (e); i >= (b); i--)
#define mp make_pair
#define mt make_tuple
#define x first
#define y second
#define pb push_back
#define all(x) (x).begin(), (x).end()
#define endl '\n'
#define tC template<class

using namespace std;

tC T> using V = vector<T>;
tC T1, class T2> using P = pair<T1,T2>;
tC T, class C=greater<T>> using PQ = priority_queue<T,V<T>,C>;
tC T> int sz(const T& a) { return (int)a.size(); }
tC T> bool amin(T& a, T b) { return b < a ? a = b, 1 : 0; }
tC T> bool amax(T& a, T b) { return b > a ? a = b, 1 : 0; }

using ll = long long;
using pii = P<int,int>;
using pll = P<ll,ll>;
using vi = V<int>;
using vl = V<ll>;
using vs = V<string>;
using vpi = V<pii>;
using vpl = V<pll>;

const int oo = 1e9 + 1;
const ll OO = ll(1e18) + 1;

auto now() { return chrono::high_resolution_clock::now().time_since_epoch().count(); }
mt19937 rnd(4488);
tC T> T rand(T lo, T hi) { return uniform_int_distribution<T>{lo,hi}(rnd); }

struct Debug {
#ifdef SPONGE
  tC T>Debug operator<<(const T& x) {
    cerr<<"\033[1;33m"<<x<<"\033[0m";
#else
  tC T>Debug operator<<(const T&) {
#endif
    return *this;
  }
} dbg;
#define $(x) #x<<'='<<(x)<<' '

void boost()
{
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  cout.precision(15);
  cout.setf(ios::fixed,ios::floatfield);
  cerr.precision(15);
  cerr.setf(ios::fixed,ios::floatfield);
}

namespace { void solve(); }
// }}}

int main()
{
  boost();
  //rnd.seed(now());
  int t=1;
  //cin>>t;
  rep(i,1,t){
    //cout<<"Case #"<<i<<": ";
    solve();
  }
}

namespace {

using Bit=bitset<36>;

int n,m,from[1005],to[1005];

void wykonaj(int i,Bit& znam,Bit& wart)
{
  if(znam[from[i]] && znam[to[i]]){
    if(wart[from[i]] && !wart[to[i]]){
      wart[from[i]]=0;
      wart[to[i]]=1;
    }
  }
  else if(znam[from[i]]){
    if(wart[from[i]]){
      znam[from[i]]=0;
      znam[to[i]]=1;
      wart[to[i]]=1;
    }
  }
  else /* znam[to[i]] */{
    if(!wart[to[i]]){
      znam[to[i]]=0;
      znam[from[i]]=1;
      wart[from[i]]=0;
    }
  }
}

int sprawdz(int k,Bit& znam,Bit& wart)
{
  int pier=oo,ost=-oo;
  rep(i,1,n) if(znam[i] && wart[i]){
    amin(pier,i);
    amax(ost,i);
  }

  if(pier!=oo){
    rep(i,pier,ost) if(!znam[i]){
      if(k==0) return 0;
      wart[i]=1;
      k--;
    }

    rep(i,pier,ost) if(znam[i] && !wart[i]) return 0;

    int ile_przed=0,ile_potem=0;
    rev(i,1,pier-1) if(znam[i]) break; else ile_przed++;
    rep(i,ost+1,n) if(znam[i]) break; else ile_potem++;

    int odp=0;
    rep(i,0,min(k,ile_przed)) if(k-i<=ile_potem) odp++;
    return odp%2;
  }
  else{
    int ciag=0,odp=0;
    rep(i,1,n){
      if(znam[i]){
        ciag=0;
      }
      else{
        ciag++;
        if(ciag>=k) odp++;
      }
    }
    return odp%2;
  }
}

/*
   i-numer operacji
   k-ile jeszcze dobrac ziomkow
   z-ile zostalo jeszcze wolnych pol
*/
int rek(int i,int k,int z,Bit znam,Bit wart)
{
  if(k>z) return 0;

  while(i<=m && (znam[from[i]] || znam[to[i]])){
    wykonaj(i,znam,wart);
    i++;
  }

  if(i>m){
    return sprawdz(k,znam,wart);
  }
  else{
    znam[from[i]]=1;
    znam[to[i]]=1;

    int odp1;
    if(k>=2){
      wart[from[i]]=1;
      wart[to[i]]=1;
      odp1=rek(i,k-2,z-2,znam,wart);
    }
    else{
      odp1=0;
    }

    wart[from[i]]=0;
    wart[to[i]]=0;
    int odp2=rek(i,k,z-2,znam,wart);

    return odp1^odp2;
  }
}

void solve()
{
  cin>>n>>m;
  rep(i,1,m) cin>>from[i]>>to[i];

  rep(k,1,n){
    cout<<rek(1,k,n,Bit(),Bit())<<' ';
  }
  cout<<endl;
}

}