From d166db7f09dfda6d82c89283ff9f92c2602ae8ba Mon Sep 17 00:00:00 2001
From: Vishal Singh Rajput <201951171@iiitvadodara.ac.in>
Date: Sun, 3 Oct 2021 00:30:16 +0530
Subject: [PATCH] added some more problems

---
 allocate_minimum_number_of_pages.java | 71 ++++++++++++++++++++++++++
 floyd_warshall.java                   | 51 +++++++++++++++++++
 matrix_chain_multiplication.java      | 54 ++++++++++++++++++++
 palindrome_partitioning.java          | 72 +++++++++++++++++++++++++++
 4 files changed, 248 insertions(+)
 create mode 100644 allocate_minimum_number_of_pages.java
 create mode 100644 floyd_warshall.java
 create mode 100644 matrix_chain_multiplication.java
 create mode 100644 palindrome_partitioning.java

diff --git a/allocate_minimum_number_of_pages.java b/allocate_minimum_number_of_pages.java
new file mode 100644
index 0000000..d143799
--- /dev/null
+++ b/allocate_minimum_number_of_pages.java
@@ -0,0 +1,71 @@
+import java.io.*;
+import java.util.*;
+class pages {
+	public static void main (String[] args) {
+		Scanner sc=new Scanner(System.in);
+		
+		int t=sc.nextInt();
+		
+		while(t-->0)
+		{
+		    int n=sc.nextInt();
+		    int a[]=new int[n];
+		    
+		    for(int i=0;i<n;i++)
+		    {
+		        a[i]=sc.nextInt();
+		    }
+		    int m=sc.nextInt();
+		    Solution ob = new Solution();
+		    System.out.println(ob.findPages(a,n,m));
+		}
+	}
+}// } Driver Code Ends
+
+
+//User function Template for Java
+
+class Solution 
+{
+    //Function to find minimum number of pages.
+    public static int findPages(int[]a,int n,int m)
+    { if(n<m)
+    return -1;
+      int  sum = 0;
+      for(int i = 0;i<n;i++)
+      sum += a[i];
+      int s = 0,e = sum;
+      int res = 0;
+      while(s<=e)
+      { 
+        int mid = s+(e-s)/2;
+        if(possible(a,n,m,mid))
+        {
+           res = mid;
+           e = mid-1;
+        }
+        else
+        s = mid+1;
+      }
+      return res;
+    }
+    public static boolean possible(int a[],int n,int m,int mid)
+    { int s = 1;
+    int sum = 0;
+    for(int i = 0;i<n;i++)
+    {
+        if(a[i]>mid)
+        return false;
+        if(sum+a[i]>mid)
+        { s++;
+            sum = a[i];
+            if(s>m)
+            return false;
+        }
+        else
+        sum+= a[i];
+    }
+    
+    return true;    
+    }
+};
\ No newline at end of file
diff --git a/floyd_warshall.java b/floyd_warshall.java
new file mode 100644
index 0000000..6203069
--- /dev/null
+++ b/floyd_warshall.java
@@ -0,0 +1,51 @@
+//Initial template for JAVA
+
+import java.util.*;
+import java.lang.*;
+import java.io.*;
+class floyd_warshall
+{
+    public static void main(String[] args) throws IOException
+    {
+        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
+        int T = Integer.parseInt(br.readLine().trim());
+        while(T-->0)
+        {
+            int n = Integer.parseInt(br.readLine().trim());
+            int[][] matrix = new int[n][n];
+            for(int i = 0; i < n; i++){
+                String[] s = br.readLine().trim().split(" ");
+                for(int j = 0; j < n; j++)
+                    matrix[i][j]  =Integer.parseInt(s[j]);
+            }
+            Solution obj = new Solution();
+            obj.shortest_distance(matrix);
+            for(int i = 0; i < n; i++){
+                for(int j  = 0; j < n; j++){
+                    System.out.print(matrix[i][j] + " ");
+                }
+                System.out.println();
+            }
+        }
+    }
+}
+// } Driver Code Ends
+
+
+//User function template for JAVA
+
+class Solution
+{
+    public void shortest_distance(int[][] matrix)
+    { int v = matrix.length;
+        for(int k = 0;k<v;k++)
+        for(int i = 0;i<v;i++)
+        for(int j = 0;j<v;j++)
+        {if(matrix[i][k]==-1 || matrix[k][j]==-1)continue;
+        else if (matrix[i][j]==-1)
+        matrix[i][j] = matrix[i][k]+matrix[k][j];
+        else if(matrix[i][k]+matrix[k][j]<matrix[i][j])
+            matrix[i][j] = matrix[i][k]+matrix[k][j];
+        }
+    }
+}
\ No newline at end of file
diff --git a/matrix_chain_multiplication.java b/matrix_chain_multiplication.java
new file mode 100644
index 0000000..b3b406d
--- /dev/null
+++ b/matrix_chain_multiplication.java
@@ -0,0 +1,54 @@
+//Initial Template for Java
+
+import java.io.*;
+import java.util.*;
+
+class matrix_chain
+{
+    public static void main(String args[])throws IOException
+    {
+        BufferedReader in = new BufferedReader(new InputStreamReader(System.in));
+        int t = Integer.parseInt(in.readLine());
+        while(t-- > 0){
+            int N = Integer.parseInt(in.readLine());
+            String input_line[] = in.readLine().trim().split("\\s+");
+            int arr[]= new int[N];
+            for(int i = 0; i < N; i++)
+                arr[i] = Integer.parseInt(input_line[i]);
+            
+            Solution ob = new Solution();
+            System.out.println(ob.matrixMultiplication(N, arr));
+        }
+    }
+}
+// } Driver Code Ends
+
+
+//User function Template for Java
+
+class Solution{
+    static int[][] memo  = new int[100][100];;
+    static int matrixMultiplication(int n, int arr[])
+    {
+        
+        for(int[] row:memo)
+        Arrays.fill(row,-1);
+        return solve(arr,1,n-1);
+        
+    }
+    public static int solve(int [] a,int i,int j)
+    {
+        if(i>=j)
+        return 0;
+        if(memo[i][j]!=-1)
+        return memo[i][j];
+        memo[i][j] = Integer.MAX_VALUE;
+        for(int k = i;k<j;k++)
+        {
+            int x = solve(a,i,k)+solve(a,k+1,j)+(a[i-1]*a[k]*a[j]);
+            memo[i][j]=Math.min(memo[i][j],x);
+            
+        }
+        return memo[i][j];
+    }
+}
\ No newline at end of file
diff --git a/palindrome_partitioning.java b/palindrome_partitioning.java
new file mode 100644
index 0000000..161f117
--- /dev/null
+++ b/palindrome_partitioning.java
@@ -0,0 +1,72 @@
+//Initial Template for Java
+
+import java.io.*;
+import java.util.*;
+
+class palindrome_partitioning{
+    public static void main(String args[])throws IOException
+    {
+        BufferedReader in = new BufferedReader(new InputStreamReader(System.in));
+        int t = Integer.parseInt(in.readLine());
+        while(t-- > 0){
+            String str = in.readLine();
+            Solution ob = new Solution();
+            System.out.println(ob.palindromicPartition(str));
+        }
+    }
+}// } Driver Code Ends
+
+
+//User function Template for Java
+
+class Solution{
+    static int[][] dp = new int[501][501];
+    static int palindromicPartition(String s)
+    {
+        for(int [] rows:dp)
+            Arrays.fill(rows,-1);
+        return solve(s,0,s.length()-1);
+    }
+    public static int solve(String s,int i ,int j)
+    {
+        if(i>=j)
+            return 0;
+        if(palindrome(s,i,j))
+            return 0;
+        if(dp[i][j]!=-1)
+            return dp[i][j];
+        dp[i][j] = Integer.MAX_VALUE;
+        for(int k = i;k<j;k++)
+        { int l ,r;
+            if(dp[i][k]!=-1)
+                 l = dp[i][k];
+            else
+                 l = solve(s,i,k);
+            
+            if(dp[k+1][j]!=-1)
+                 r = dp[k+1][j];
+            else
+                 r = solve(s,k+1,j);
+            
+            int x = 1+l+r;
+            dp[i][j] = Math.min(x,dp[i][j]);
+        }
+        return dp[i][j];
+    }
+    public static boolean palindrome(String s,int i,int j)
+    {
+        if(i>j)
+            return false;
+        if(i==j)
+            return true;
+        while(i<j)
+        {
+            if(s.charAt(i)!=s.charAt(j))
+                return false;
+            i++;
+            j--;
+            
+        }
+        return true;
+    }
+}
\ No newline at end of file