C++ program that uses dynamic programming algorithm to solve the optimal binary search tree problem

/* Write a C++ program that uses dynamic programming algorithm to solve the optimal binary search tree problem */

#include<iostream>
#include<conio.h>
#include<stdio.h>
using namespace std;
#define MAX 10
int find(int i,int j);
void print(int,int);
int p[MAX],q[MAX],w[10][10],c[10][10],r[10][10],i,j,k,n,m;
char idnt[7][10];
 
main()
{
cout << "enter the no, of identifiers";
cin >>n;
cout <<"enter identifiers";
for(i=1;i<=n;i++)
gets(idnt[i]);
cout <<"enter success propability for identifiers";
for(i=1;i<=n;i++)
cin >>p[i];
cout << "enter failure propability for identifiers";
for(i=0;i<=n;i++)
cin >> q[i];
for(i=0;i<=n;i++)
{
w[i][i]=q[i];
c[i][i]=r[i][i]=0;
w[i][i+1]=q[i]+q[i+1]+p[i+1];
r[i][i+1]=i+1;
c[i][i+1]=q[i]+q[i+1]+p[i+1];
}
w[n][n]=q[n];
r[n][n]=c[n][n]=0;
for(m=2;m<=n;m++)
{
for(i=0;i<=n-m;i++)
{
j=i+m;
w[i][j]=w[i][j-1]+p[j]+q[j];
k=find(i,j);
r[i][j]=k;
c[i][j]=w[i][j]+c[i][k-1]+c[k][j];
}
}
cout <<"\n";
print(0,n); }
 
int find(int i,int j)
{
int min=2000,m,l;
for(m=i+1;m<=j;m++)
if(c[i][m-1]+c[m][j]<min)
{
min=c[i][m-1]+c[m][j];
l=m;
}
return l;
}
void print(int i,int j)
{
if(i<j)
puts(idnt[r[i][j]]);
else
return;
print(i,r[i][j]-1);
print(r[i][j],j);
}

OUTPUT

enter the no, of identifiers4
enter identifiers
do
if
int
while
enter success propability for identifiers3 3 1 1
enter failure propability for identifiers2 3 1 1 1

tree in preorder form
if
do
int
while

Editorial Team
Editorial Team

We are a group of young techies trying to provide the best study material for all Electronic and Computer science students. We are publishing Microcontroller projects, Basic Electronics, Digital Electronics, Computer projects and also c/c++, java programs.

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