#include<stdio.h>
#include<stdlib.h>

#define N 100

double 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extern double dlamch_();

int main(int argc,char *argv[]){

  static int i,info,n=N,n2=2*N;
  static double b[N],c[N],work[8*N];

  static char RANGE='A',ORDER='E';
  static int m,nsplit,il,iu,iblock[2*N],isplit[2*N],iwork[6*N];
  static double d[2*N],e[2*N],abstol,w[2*N],vl,vu;

  abstol=2.0*dlamch_("S");

  for(i=0;i<N;i++){
    b[i]=MAT[i*N+i];
  }

  for(i=1;i<N;i++){
    c[i-1]=MAT[i*N+i-1];
  }
  c[N-1]=0;

  for(i=0;i<2*N;i++){
    d[i]=0;
  }

  for(i=0;i<N;i++){
    e[2*i]=b[i];
    e[2*i+1]=c[i];
  }

  dlasq1_(&n, b, c, work, &info);
        
  dstebz2_(&RANGE,&ORDER,&n2,&vl,&vu,&il,&iu,&abstol,d,e,&m,&nsplit,
	   w,iblock,isplit,work,iwork,&info);

  for(i=0;i<N;i++){
    printf("%30.20g ",fabs(b[i]-w[2*N-1-i])/w[2*N-1-i]);
  }
  printf("\n");

  return 1;
}