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#' Observations Vs Regions Incidence Matrix
#'
#' @param Design A Sudoku design in matrix format
#' @param Region A matrix of regions according to the Sudoku design
#'
#' @return Observations vs regions incidence matrix for a given Sudoku design and region matrix
#' @export
#'
#' @examples
#' library(SudokuDesigns)
#' design<-matrix(c(1,2,3,4,3,4,1,2,2,1,4,3,4,3,2,1),nrow=4,ncol=4,byrow=TRUE)
#' region<-matrix(c(1,1,2,2,1,1,2,2,3,3,4,4,3,3,4,4),nrow=4,ncol=4,byrow=TRUE)
#' Check_Obsn_vs_Reg_Matrix(design, region)
Check_Obsn_vs_Reg_Matrix=function(Design,Region){
ysd=as.matrix(Design)
region=as.matrix(Region)
################ for construction of D3_mat
D3_mat=matrix(0,nrow=length(ysd),ncol=max(region))
k=1
i=1
while(i<=nrow(ysd)){
j=1
while(j<=ncol(ysd)){
#element1<-ysd[i,j]
element2<-region[i,j]
D3_mat[k,element2]<-1
k=k+1
j=j+1
}
i=i+1
}
D3_mat_prime=D3_mat
list=list("Observations Vs Regions Incidence Matrix"= D3_mat_prime)
return(list)
}
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