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46 changes: 46 additions & 0 deletions dynamic-programming/EDIST.java
Original file line number Diff line number Diff line change
@@ -0,0 +1,46 @@

// A Naive recursive Java program to find minimum number
// operations to convert str1 to str2
class EDIST
{
static int min(int x,int y,int z)
{
if (x<=y && x<=z) return x;
if (y<=x && y<=z) return y;
else return z;
}

static int editDist(String str1 , String str2 , int m ,int n)
{
// If first string is empty, the only option is to
// insert all characters of second string into first
if (m == 0) return n;

// If second string is empty, the only option is to
// remove all characters of first string
if (n == 0) return m;

// If last characters of two strings are same, nothing
// much to do. Ignore last characters and get count for
// remaining strings.
if (str1.charAt(m-1) == str2.charAt(n-1))
return editDist(str1, str2, m-1, n-1);

// If last characters are not same, consider all three
// operations on last character of first string, recursively
// compute minimum cost for all three operations and take
// minimum of three values.
return 1 + min ( editDist(str1, str2, m, n-1), // Insert
editDist(str1, str2, m-1, n), // Remove
editDist(str1, str2, m-1, n-1) // Replace
);
}

public static void main(String args[])
{
String str1 = "sunday";
String str2 = "saturday";

System.out.println( editDist( str1 , str2 , str1.length(), str2.length()) );
}
}
42 changes: 42 additions & 0 deletions dynamic-programming/Knapsack.java
Original file line number Diff line number Diff line change
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// A Dynamic Programming based solution for 0-1 Knapsack problem
class Knapsack
{

// A utility function that returns maximum of two integers
static int max(int a, int b) { return (a > b)? a : b; }

// Returns the maximum value that can be put in a knapsack of capacity W
static int knapSack(int W, int wt[], int val[], int n)
{
int i, w;
int K[][] = new int[n+1][W+1];

// Build table K[][] in bottom up manner
for (i = 0; i <= n; i++)
{
for (w = 0; w <= W; w++)
{
if (i==0 || w==0)
K[i][w] = 0;
else if (wt[i-1] <= w)
K[i][w] = max(val[i-1] + K[i-1][w-wt[i-1]], K[i-1][w]);
else
K[i][w] = K[i-1][w];
}
}

return K[n][W];
}


// Driver program to test above function
public static void main(String args[])
{
int val[] = new int[]{60, 100, 120};
int wt[] = new int[]{10, 20, 30};
int W = 50;
int n = val.length;
System.out.println(knapSack(W, wt, val, n));
}
}