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//Optimal BST
#define input 18
#include<iostream>
#include <iomanip>
#include <fstream>
using namespace std;
typedef int Temp[input][input];
char arrayChar[input] = {'A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M', 'N', 'P', 'O', 'Q', 'R'};
int P[input] = {995, 22, 23, 562, 33, 8, 60, 118, 30, 723, 807, 626, 15, 89, 21, 128, 626, 621};
int Root[input][input];
int S[input][input];
int i, j, d, k;
const int n = input - 1;
int minroot, minvalue, psum;
int INF = 1000000;
ofstream outFile;
int OptimalBinarySearchTree(int p[])
{
for(i = 1; i <= (n+1); i++)
{
S[i][i-1] = 0;
}
for(i = 0; i <= n; i++)
{
S[i][i] = P[i];
Root[i][i] = i;
}
for(d = 0; d <= (n); d++)
{
for(i = 0; i <= (n-d); i++)
{
j = i + d;
minroot = 0; minvalue = INF; psum = 0;
for(k = i; k <= j; k++)
{
psum += p[k];
int value = S[i][k-1] + S[k+1][j];
if( value < minvalue )
{
minroot = k + 1;
minvalue = S[i][k-1] + S[k+1][j];
}
}
Root[i][j] = minroot; S[i][j] = psum + minvalue;
}
}
return S[1][n], Root[1][n];
}
void Print(int v[input][input])
{
cout << setw (4) << "-";
cout << " ";
outFile << setw (4) << "-";
outFile << " ";
for(int i = 0 ; i <= input - 1 ; i++ )
{
cout << setw (5) << arrayChar[i];
outFile << setw (5) << arrayChar[i];
}
cout << endl << endl;
outFile << endl << endl;
for(int i=0;i<=input-1;i++)
{
cout << setw (4) << arrayChar[i] << " | ";
outFile << setw (4) << arrayChar[i] << " | ";
for(int j=0;j<=input-1;j++)
{
cout << setw (4) << v[i][j] << " ";
outFile << setw (4) << v[i][j] << " ";
}
cout << endl;
outFile << endl;
}
}
//PSUEDO CODE FOR PRINTING FUNCTION
//void PrintTree(Temp Root[input][input], int i, int j, int space_needed)
//{
// if(i <= j)
// {
// /* print <space_needed> and then roots[i][j];*/
//
// /* PrintTree(Root[][], i, Root[i][j] - 1, ++space_needed);*/
//
// /* PrintTree(Root[][], Root[i][j] + 1, j, ++space_needed);*/
// }
//}
void PrintTree(Temp Root, int i, int j, int space)
{
if(i <= j)
{
for(int val = 0; val < space ; val++)
{
outFile << '\t';
}
outFile << Root[input][input] << endl;
space++;
PrintTree(Root, i, Root[i][j]+1, space);//BREAKS HERE!!!!!!!!!!!
PrintTree(Root, Root[i][j]-1, j, space);
}
else
{
for(int val = 0; val < space; val++)
{
outFile << '\t';
}
outFile << '-' << endl;
}
return;
}
int main()
{
Temp Root;
int rootvalue=0;
OptimalBinarySearchTree(P);
outFile.open ("tlb0020_project2.txt");
outFile.clear();
cout << endl << "Main Table" << endl;
outFile << endl << "Main Table" << endl;
Print(S);
cout << endl << "--------------------------------" << endl;
cout << endl << "Root Table" << endl;
outFile << endl << "Root Table" << endl;
for(j=1;j<=input-1;j++)
{
for(i=0;i<=input-1;i++)
{
Root[0][0] = 1;
if(Root[i][j] != 0)
{
int root = 0;
rootvalue = Root[i][j];
Root[i][j] = rootvalue;
}
}
}
Print(Root);
cout << endl;
cout << endl;
/*PrintTree(Root, 1, n, 0);*/
/*PrintTree(Root,i,j);*/
PrintTree(Root, 1, n, 0);
outFile.close();
system("pause");
return 0;
}
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