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public class Program72 {

public static int placeTiles(int n, int m) {

if (n == m) {

return 2;

}

if (n < m) {

return 1;

}

//vertically

int vertPlacements = placeTiles(n - m, m);

//horizontally

int horiPlacements = placeTiles(n - 1, m);

return vertPlacements + horiPlacements;

}

public static void main(String[] args) {

int n = 4, m = 2;

System.out.println(placeTiles(n, m) + " ways of placing tiles on floor with dimensions " + n + " and " + m);

}

}