#include <iostream>
#include <math.h>
 
using namespace std;
 
#define PI 4*atan(1)
 
void f2c(double * f, int N, int M, double hx, double hy) {
	double * c = (double*) malloc(sizeof(double) * (N) * (M));
	double * t = (double*) malloc(sizeof(double) * (N));
	for (int i = 0; i < M;  i++) {
		for (int j = 0; j < N; j++) {
			double tmp = 0.0;
			for (int k = 0; k < M; k++) {
				tmp += sqrt(2)*f[k*(N) + j] * sin(PI * (i + 0.5) * (k + 1) * hy) * hy;
			}
			t[j] = tmp;
		}	
        for (int j = 0; j < N; j++) {
            double tmp = 0.0;
            for (int k = 0; k < N - 1; k++) {
                tmp += sqrt(2)*sin(PI * (k + 1) * (j + 1) * hx) * t[k] * hx;
            }
            c[j * (N) + i] = tmp;
            //cout << t << " ";
        }
	}
	double max_er = 0.0;
	for (int i = 0; i < M; i++) {
		for (int j = 0; j < N ; j++) {
			double tmp = 0.0;
			for (int k = 0; k < M ;k++) {
				for (int m = 0; m < N; m++) {
					if (i == M - 1) {
						tmp += 2*sin(PI * (i + 1) * (k + 0.5) * hy) * sin(PI * (j + 1) * (m + 1) * hx) * c[m*(M) + k];
						cout << tmp << " ";
					}
				}
			}
			if (i == M - 1) {
				cout << endl;
			}
			cout << tmp << " ";
			/*if (j == N - 2) {
				if (max_er < fabs(f[i*(M - 1) + j] - tmp / 2)) {
					max_er = fabs(f[i*(M - 1) + j] - tmp / 2);
				}
			} else {
				if (max_er < fabs(f[i*(M - 1) + j] - tmp)) {
					max_er = fabs(f[i*(M - 1) + j] - tmp);
				}
			}*/
		}
		cout << endl;
	}
}
 
double scal(double * x, double * y, int N, double h) {
	double t = 0.0;
	for (int i = 0;i < N - 1; i++) {
		t+= x[i] * y[i] * h;
	}
	return t;
}
 
int main() {
	int N, M;
	cin >> N >> M;
	double hx = 1.0 / (N);
	double hy = 1.0 / (M);
	double * f = (double *) malloc(sizeof(double) * (N) * (M));
	for (int i = 0; i < M; i++) {
		for (int j = 0; j < N; j++) {
			double x = (j + 1) * hx;
			double y = (i + 0.5) * hy;
			f[i*(N) + j] = sin(PI * x) * sin(PI * y);
			cout  << f[i*(N) + j] << " ";
		}
		cout << endl;
	}
	cout << endl;
	f2c(f,N,M,hx,hy);
	return 0;
}

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