clc
clear
x=[3.2 2.7 1 4.8 5.6];
y=[22 17.8 14.2 38.3 51.7]
for i=1:1:5
X=[x(1,i)  y(1,i)]
disp(X)
end
for i=1:1:4
A(1,i)=(y(1,i+1)-y(1,i))/(x(1,i+1)-x(1,i)) 
end
for i=1:1:3
B(1,i)=(A(1,i+1)-A(1,i))/(x(1,i+2)-x(1,i)) 
end
for i=1:1:2
C(1,i)=(B(1,i+1)-B(1,i))/(x(1,i+3)-x(1,i)) 
end
for i=1:1:1
D(1,i)=(C(1,i+1)-C(1,i))/(x(1,i+4)-x(1,i)) 
end
out=[x(1,1),y(1,1) ]
disp(out)
out1=[x(1,2),y(1,2), A(1,1) ]
disp(out1)
out2=[x(1,3),y(1,3), A(1,2), B(1,1),C(1,1),D(1,1) ]
disp(out2)
out3=[x(1,4),y(1,4), A(1,3), B(1,2),C(1,2) ]
disp(out3)
out4=[x(1,5),y(1,5), A(1,4), B(1,3) ]
disp(out4)
P3=C(1,1)*(3-x(1,1))*(3-x(1,2))*(3-x(1,3))+B(1,1)*(3-x(1,1))*(3-x(1,2))+A(1,1)*(3-x(1,1))+y(1,1)
disp(P3)