```/* nag_dgelsy (f08bac) Example Program.
*
* NAGPRODCODE Version.
*
* Copyright 2016 Numerical Algorithms Group.
*
* Mark 26, 2016.
*/

#include <stdio.h>
#include <nag.h>
#include <nag_stdlib.h>
#include <nagf08.h>
#include <nagf16.h>

int main(void)
{
/* Scalars */
double rcond;
Integer exit_status = 0, i, j, m, n, nrhs, rank, pda, pdb;
/* Arrays */
double *a = 0, *b = 0;
Integer *jpvt = 0;
/* Nag Types */
Nag_OrderType order;
NagError fail;

#ifdef NAG_COLUMN_MAJOR
#define A(I, J) a[(J - 1) * pda + I - 1]
#define B(I, J) b[(J - 1) * pdb + I - 1]
order = Nag_ColMajor;
#else
#define A(I, J) a[(I - 1) * pda + J - 1]
#define B(I, J) b[(I - 1) * pdb + J - 1]
order = Nag_RowMajor;
#endif

INIT_FAIL(fail);

printf("nag_dgelsy (f08bac) Example Program Results\n\n");

/* Skip heading in data file */
scanf("%*[^\n]");
scanf("%" NAG_IFMT "%" NAG_IFMT "%" NAG_IFMT "%*[^\n]", &m, &n, &nrhs);

/* Allocate memory */
if (!(a = NAG_ALLOC(m * n, double)) ||
!(b = NAG_ALLOC(m * nrhs, double)) || !(jpvt = NAG_ALLOC(n, Integer)))
{
printf("Allocation failure\n");
exit_status = -1;
goto END;
}

#ifdef NAG_COLUMN_MAJOR
pda = m;
pdb = m;
#else
pda = n;
pdb = nrhs;
#endif

/* Read A and B from data file */
for (i = 1; i <= m; ++i)
for (j = 1; j <= n; ++j)
scanf("%lf", &A(i, j));
scanf("%*[^\n]");

for (i = 1; i <= m; ++i)
for (j = 1; j <= nrhs; ++j)
scanf("%lf", &B(i, j));
scanf("%*[^\n]");

* Initialize jpvt to be zero so that all columns are free.
*/
if (fail.code != NE_NOERROR) {
exit_status = 1;
goto END;
}

/* Choose rcond to reflect the relative accuracy of the input data */
rcond = 0.01;

/* nag_dgelsy (f08bac).
* Solve the least squares problem min( norm2(b - Ax) ) for the x
* of minimum norm.
*/
nag_dgelsy(order, m, n, nrhs, a, pda, b, pdb, jpvt, rcond, &rank, &fail);
if (fail.code != NE_NOERROR) {
printf("Error from nag_dgelsy (f08bac).\n%s\n", fail.message);
exit_status = 1;
goto END;
}

/* Print solution */
printf("Least squares solution\n");
for (i = 1; i <= n; ++i) {
for (j = 1; j <= nrhs; ++j)
printf("%11.4f%s", B(i, j), j % 7 == 0 ? "\n" : " ");
printf("\n");
}

/* Print the effective rank of A */
printf("\nTolerance used to estimate the rank of A\n");
printf("%11.2e\n", rcond);
printf("Estimated rank of A\n%6" NAG_IFMT "\n", rank);

END:
NAG_FREE(a);
NAG_FREE(b);
NAG_FREE(jpvt);

return exit_status;
}

#undef A
#undef B
```