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Venus cs qc cuny edu waxman

07/01/2021 Client: saad24vbs Deadline: 3 days

// Triangle via top down dynamic programming


#include<fstream>


#include<sstream>


#include<iostream>


using namespace std;


const int max_rows=4;


int memo[max_rows][max_rows+1];


void init_memo(){


for(int i=0; i<max_rows; i++)


for(int j=0; j<max_rows+1; j++)


memo[i][j]=-1;


}


int max_value(int t[][max_rows+1], int i, int j){


if(__________________________)


return t[____________][_______________];


if(______________________________)


return memo[i][j];


return memo[i][j]= t[____][____]+max( _______________________________ );


}


int main()


{ init_memo(); // set all entries = -1


ifstream in("http://venus.cs.qc.cuny.edu/~waxman/211/triangle.txt");


string line;


int t[max_rows][max_rows+1]={0};


for(int i=0; i<max_rows;i++){


getline(in,line);


stringstream si(line);


t[i][0]=0;


for(int j=1;j< i+2;j++ )


si>>t[i][j];


}


int result=max_value(t,max_rows-1,1);


for(int i=2; i<=max_rows;i++){


int k=max_value(t,max_rows-1,i);


if(result<max_value(t,max_rows-1,i))


result=max_value(t,max_rows-1,i);


}


cout<<"the result is: "<<result<<endl;


system("PAUSE");


return 0;


}

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