FindRoot_fast <- function(X,U,Cov){
r = length(U) #4
if (r==1){ #1
return(U) #2
}
O = rep(1,r)
S = rep(0,r)
M = matrix(TRUE,r,r)
repeat{
I = (S == min(S))
if ( sum(O[I] > r) > 0){
break
}
for (i in which(I)){
if (M[i,O[i]]){
score = Compare2(X,U[i],U[O[i]],Cov)
S[i] = S[i] + min(0,score)^2
S[O[i]] = S[O[i]] + min(0,-score)^2
M[i,O[i]]=FALSE
M[O[i],i]=FALSE
}
O[i] = O[i]+1
}
}
root = U[S==min(S)][1]
return(root) #output
}
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