Initial data commit

Task/Matrix-chain-multiplication/MATLAB/matrix-chain-multiplication-1.m

@@ -0,0 +1,29 @@
+function [r,s] = optim(a)
+    n = length(a)-1;
+    u = zeros(n,n);
+    v = ones(n,n)*inf;
+    u(:,1) = -1;
+    v(:,1) = 0;
+    for j = 2:n
+        for i = 1:n-j+1
+            for k = 1:j-1
+                c = v(i,k)+v(i+k,j-k)+a(i)*a(i+k)*a(i+j);
+                if c<v(i,j)
+                    u(i,j) = k;
+                    v(i,j) = c;
+                end
+            end
+        end
+    end
+    r = v(1,n);
+    s = aux(u,1,n);
+end
+
+function s = aux(u,i,j)
+    k = u(i,j);
+    if k<0
+        s = sprintf("%d",i);
+    else
+        s = sprintf("(%s*%s)",aux(u,i,k),aux(u,i+k,j-k));
+    end
+end

Task/Matrix-chain-multiplication/MATLAB/matrix-chain-multiplication-2.m

@@ -0,0 +1,22 @@
+[r,s] = optim([1,5,25,30,100,70,2,1,100,250,1,1000,2])
+
+r =
+
+       38120
+
+
+s =
+
+    "((((((((1*2)*3)*4)*5)*6)*7)*(8*(9*10)))*(11*12))"
+
+
+[r,s] = optim([1000,1,500,12,1,700,2500,3,2,5,14,10])
+
+r =
+
+     1773740
+
+
+s =
+
+    "(1*((((((2*3)*4)*(((5*6)*7)*8))*9)*10)*11))"