#include <bits/stdc++.h>
#define F first
#define S second
#define dq deque
#define vc vector
#define INF (0x3f3f3f3f)
#define LINF ((long long)(0x3f3f3f3f3f3f3f3f))
#define Pb push_back
#define Mp make_pair
#define ll long long
#define _tp template
#define _tyn typename
#define Pf push_front
#define itor iterator
#define sint short int
#define ull unsigned ll
#define pii pair<int,int>
#define uint unsigned int
#define All(x) x.begin(),x.end()
#define B cout << "BreakPoint" << endl;
#define Ms(_data) memset(_data,0,sizeof(_data))
#define Fin(_filename) freopen(_filename,"r",stdin)
#define Fout(_filename) freopen(_filename,"w",stdout)
#define Msn(_data,_num) memset(_data,_num,sizeof(_data))
#define Fastio ios_base::sync_with_stdio(false);cin.tie(0);
#define O_(x) cout << #x << " " << x << "  ";
#define O(x) cout << #x << " " << x << endl;
using namespace std;
#define Mymax(a,b) if(a<b) a = b;
#define Mymin(a,b) if(a>b) a = b;
void Print(int _x){printf("%d\n",_x);}
void Print(ll _x){printf("%lld\n",_x);}
_tp<_tyn T>void Print( T _a[] , int _s , int _t ){
    for( int i = _s ; i <= _t ; i++ )
        cout << _a[i] << " ";
   	cout << endl;
}
#define il inline
#define rg register
struct InputReader{
	static const int bs = 100000;
    char buf[bs];
    int p;
    il InputReader():p(bs) {}
    il void Flush(){
        p = 0;
        fread(buf, 1, bs, stdin);
    }
    il char C(){
        if(p >= bs) Flush();
        return buf[p++];
    }
    int Getnum(){
        char ch = C();
        while( ch < '0'  ||  ch > '9' ) ch = C();
        return (int)(ch-'0');
    }
    il int operator() (){
        int ans = 0;
        char ch = C();
        int fu = 1;
        while( ch < '0'  ||  ch > '9' ){
            if( ch == '-' ) fu = -1;
            ch = C();
        }
        while( ch >= '0'  &&  ch <= '9' ){
            ans *= 10;
            ans += ch-'0';
            ch = C();
        }
        return ans * fu;
    }
    ll Readll(){
        ll ans = 0LL;
        ll fu = 1;
        char ch = C();
        while( ch < '0'  ||  ch > '9' ){
            if( ch == '-' ) fu = -1;
            ch = C();
        }
        while( ch >= '0'  &&  ch <= '9' ){
            ans *= 10LL;
            ans += ch-'0';
            ch = C();
        }
        return ans * fu;
    }
    il void Readstring( string &x ){
        x.clear();
        char ch = C();
        while( !isdigit(ch)  &&  !isalpha(ch) ) ch = C();
        while( isdigit(ch)  ||  isalpha(ch) ){
            x += ch;
            ch = C();
        }
        //x += '\0';
    }
    il void Readalpha( char &c ){
        c = C();
        while( !isalpha(c) ) c = C();
    }
    il char Specialread(){
        char ch = C();
        while( !isalpha(ch) ) ch = C();
        return ch;
    }
}In;
il void Read( int &x ){ x = In(); }
il void Read( int &x, int &y ){ x = In(); y = In(); }
il void Read( int &x1 , int &x2 , int &x3 ){
    x1 = In(); x2 = In(); x3 = In();
}
il void Read( int &x1 , int &x2 , int &x3 , int &x4 ){
    x1 = In(); x2 = In(); x3 = In(); x4 = In();
}
il void Read( ll &x ){
    x = In.Readll();
}
il void Read( ll &x, ll &y ){ x = In.Readll(); y = In.Readll(); }
il void Read( ll &x1 , ll &x2 , ll &x3 ){
    x1 = In.Readll(); x2 = In.Readll(); x3 = In.Readll();
}
il void Read( ll &x1 , ll &x2 , ll &x3 , ll &x4 ){
    x1 = In.Readll(); x2 = In.Readll(); x3 = In.Readll(); x4 = In.Readll();
}
clock_t _starttime , _endtime;
il void FILEIO(){
    #ifdef WIN32
        _starttime = clock();
        Fin("in.in");
    #endif
}
#ifdef WIN32
    #include <windows.h>
    #include <psapi.h>
#endif
il void END(){
    #ifdef WIN32
        _endtime = clock();
        double _timeuse = (_endtime-_starttime)* 1000.0 / CLOCKS_PER_SEC;
        printf("\n\nTime usage:\n%.0lf ms\n",_timeuse);
        HANDLE _handle = GetCurrentProcess();
        PROCESS_MEMORY_COUNTERS pmc;
        GetProcessMemoryInfo(_handle,&pmc,sizeof(pmc));
        double _memuse = pmc.PeakPagefileUsage/1024.00/1024.00;
        printf("Memory usage:\n%.1lf MB\n\n",_memuse);
    #endif
    exit(0);
}
#define For(i,j) for( rg int (i) = 1 ; (i) <= (j) ; (i)++ )
#define For0(i,j) for( rg int (i) = 0 ; (i) < (j) ; (i)++ )
#define Forx(i,j,k) for( rg int (i) = (j) ; (i) <= (k) ; (i)++ )
#define Forstep(i,j,k,st) for( rg int (i) = (j) ; (i) <= (k) ; (i) += (st) )
#define fOR(i,j) for( rg int (i) = (j) ; (i) >= 1 ; (i)-- )
#define fOR0(i,j) for( rg int (i) = (j)-1 ; (i) >= 0 ; (i)-- )
#define fORx(i,j,k) for( rg int (i) = (k) ; (i) >= (j) ; (i)-- )
int dx[] = {0,-1,0,1};
int dy[] = {1,0,-1,0};
//			D L U  R
#define Mymod(a,b) if( a >= b ) a -= b;
#define Rmod(a,b) a = (a%b+b)%b
/////////////////////////////////////////////////////////////////////
/////////////////////////////////////////////////////////////////////
#define MAXH 110

int a,b;
int dat[MAXH][MAXH];
int h = 100;
void Rev(){
	For0(i,MAXH)
		For0(j,MAXH)
			dat[i][j] ^= 1;
}
void Print(){
	printf("%d %d\n",h,h);
	For(i,h){
		For(j,h)
			if( dat[i][j] == 1 ) printf("#");
			else printf(".");
		printf("\n");
	}
}

bool Zaohei( int a , int b ){
	Ms(dat);
	a--;
	int sty = 2;
	while( a && b ){
		int y = sty, x = 1;
		while( a && b && y > 0 ){
			dat[y][x] = 1;
			b--;
			if( x >= 2 ) a--;
			x++;
			y--;
		}
		sty += 2;
	}

	if(a) return 0;
	// 再造几个黑色连通块
	For(i,h){
		For(j,h){
			if( !(dat[i][j]|dat[i-1][j]|dat[i+1][j]|dat[i][j-1]|dat[i][j+1]|dat[i-1][j-1]|dat[i+1][j-1]|dat[i+1][j+1]|dat[i-1][j+1]) ){
				dat[i][j] = 1;
				b--;
			}
			if(!b) break;
		}
		if(!b) break;
	}
	return 1;
}
bool Zaobai( int a , int b ){
	Ms(dat);
	Rev();
	b--;
	int sty = 2;
	while( a && b ){
		int y = sty, x = 1;
		while( a && b && y > 0 ){
			dat[y][x] = 0;
			a--;
			if( x >= 2 ) b--;
			x++;
			y--;
		}
		sty += 2;
	}

	if(b) return 0;
	// 再造几个白色连通块
	For(i,h){
		For(j,h){
			if( dat[i][j]&&dat[i-1][j]&&dat[i+1][j]&&dat[i][j-1]&&dat[i][j+1]&&dat[i-1][j-1]&&dat[i+1][j-1]&&dat[i+1][j+1]&&dat[i-1][j+1] ){
				dat[i][j] = 0;
				a--;
			}
			if(!a) break;
		}
		if(!a) break;
	}
	return 1;
}
bool Another( int a , int b ){
	Ms(dat);
	a--;
	int sty = 2;
	while( a && b ){
		int y = sty, x = 1;
		while( a && b && y > 0 ){
			dat[y][x] = 1;
			b--;
			if( x >= 2 ) a--;
			x++;
			y--;
		}
		sty += 2;
	}

	//再造白色连通块(a!=0,b=0)
	int gy = h;
	while( !dat[gy][1]  &&  gy>0 ) gy--;
	gy++;
	Forx(i,gy,h)
		dat[i][1] = 1;
	Forstep(i,gy,h,3){
		Forstep(j,1,h-4,3){
			dat[i][j] = dat[i+1][j] = dat[i+2][j] = dat[i][j+1] = dat[i][j+2] = 1;
			dat[i+2][j+1] = dat[i+2][j+2] = dat[i+1][j+2] = 1;
			a--;
			if(!a) break;
		}
		if(!a) break;
	}
	if(a) return 0;
	return 1;
}

int main(){
	FILEIO();
	Ms(dat);

	Read(a,b);

	if( Zaohei(a,b) ){
		Print();
		END();
	}
	if( Zaobai(a,b) ){
		Print();
		END();
	}
	if( Another(a,b) ){
		Print();
		END();
	}
	//Print();

	END();
}


Measured memory_bytes: 256