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4. Write a program in any language implementing an algorithm for constructing a divided difference table below: Given a set of N+1 data pairs, (xi,fi),i=0,,n,

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4. Write a program in any language implementing an algorithm for constructing a divided difference table below: Given a set of N+1 data pairs, (xi,fi),i=0,,n, DO FOR i=1 to n DO FOR j=0 to ni Compute fj[i]=(fj+1[i1]fj[i1])/(xj+ixj) and enter into column i of the table. ENDDO(j). ENDDO(i)

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