Numbers game from British game show Countdown, R

Numbers game from British game show Countdown

v = c(50,75,7,2,8,2) 
t = 841

countdown <- function(v,t){
    if (v[1] == t) {
        return(TRUE)
    } else {

for (i in 1:length(v)){
            for (j in i:length(v)){
                if (i<j) {
                    l <- rep(TRUE,length(v))
                    l[i] = FALSE
                    l[j] = FALSE
                    a = max(v[i],v[j])
                    b = min(v[i],v[j])
                    if (countdown(c(a+b,v[l]),t)){
                        print(sprintf("%d + %d = %d",v[i],v[j],v[i]+v[j]))
                        return(TRUE)
                    }
                    if (countdown(c(a-b,v[l]),t)){
                        print(sprintf("%d - %d = %d",v[i],v[j],v[i]-v[j]))
                        return(TRUE)
                    }
                    if (countdown(c(a*b,v[l]),t)){
                        print(sprintf("%d * %d = %d",v[i],v[j],v[i]*v[j]))
                        return(TRUE)
                    }
                    if (a/b == round(a/b)){
                        if (countdown(c(a/b,v[l]),t)){
                            print(sprintf("%d / %d = %d",v[i],v[j],v[i]/v[j]))
                            return(TRUE)
                        }                    
                    }
                }

}
        }
        return(FALSE)

}
}
countdown(v,t)


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