msis implemented

divide_and_conquer/mss.cpp

@@ -0,0 +1,56 @@
+//Maximun sum array sum problem
+#include <stdio.h> 
+#include <limits.h> 
+
+int max(int a, int b) { return (a > b)? a : b; } 
+
+int max(int a, int b, int c) { return max(max(a, b), c); } 
+
+// Find the maximum possible sum in arr[] auch that arr[m] is part of it 
+int max_crossing_sum(int arr[], int l, int m, int h) 
+{ 
+
+    int sum = 0; 
+    int left_sum = INT_MIN; 
+    for (int i = m; i >= l; i--) 
+    { 
+        sum = sum + arr[i]; 
+        if (sum > left_sum) 
+          left_sum = sum; 
+    } 
+
+    sum = 0; 
+    int right_sum = INT_MIN; 
+    for (int i = m+1; i <= h; i++) 
+    { 
+        sum = sum + arr[i]; 
+        if (sum > right_sum) 
+          right_sum = sum; 
+    } 
+
+    return left_sum + right_sum; 
+} 
+
+int max_sub_array_sum(int arr[], int l, int h) 
+{ 
+   // Base Case: Only one element 
+   if (l == h) 
+     return arr[l]; 
+
+   // Find middle point 
+   int m = (l + h)/2; 
+
+   return max(max_sub_array_sum(arr, l, m), 
+              max_sub_array_sum(arr, m+1, h), 
+              max_crossing_sum(arr, l, m, h)); 
+} 
+
+int main() 
+{ 
+   int arr[] = {3,5,6,7,8}; 
+   int n = sizeof(arr)/sizeof(arr[0]); 
+   int max_sum = max_sub_array_sum(arr, 0, n-1); 
+   printf("Maximum contiguous sum is %d\n", max_sum); 
+   getchar(); 
+   return 0; 
+}

dynamic_programming/msis.cpp

@@ -0,0 +1,39 @@
+ /*Maximum Sum Increasing Subsequence  
+(MSIS) problem */
+#include<stdio.h> 
+
+int maxSumIS(int arr[], int n) 
+{ 
+    int i, j, max = 0; 
+    int msis[n]; 
+
+    for ( i = 0; i < n; i++ ) 
+        msis[i] = arr[i]; 
+
+    /* Compute maximum sum values  
+       in bottom up manner */
+    for ( i = 1; i < n; i++ ) 
+        for ( j = 0; j < i; j++ ) 
+            if (arr[i] > arr[j] &&  
+                msis[i] < msis[j] + arr[i]) 
+                msis[i] = msis[j] + arr[i]; 
+
+    /* Pick maximum of 
+       all msis values */
+    for ( i = 0; i < n; i++ ) 
+        if ( max < msis[i] ) 
+            max = msis[i]; 
+
+    return max; 
+} 
+
+// Driver Code 
+int main() 
+{ 
+    int arr[] = {1, 100, 2, 3, 105, 4, 5}; 
+    int n = sizeof(arr)/sizeof(arr[0]); 
+    printf("Sum of maximum sum increasing " 
+            "subsequence is %d\n", 
+              maxSumIS( arr, n ) ); 
+    return 0; 
+}