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31 changes: 31 additions & 0 deletions C++/Kadane's_Algorithm.cpp
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// Problem Statement
/*
Write an efficient program to find the sum of contiguous subarray within a one-dimensional array
of numbers which has the largest sum.
*/

#include<iostream>
using namespace std;

int maxSubArraySum(int a[], int size)
{
int max_so_far = a[0];
int curr_max = a[0];

for (int i = 1; i < size; i++)
{
curr_max = max(a[i], curr_max+a[i]);
max_so_far = max(max_so_far, curr_max);
}
return max_so_far;
}

/* Driver program to test maxSubArraySum */
int main()
{
int a[] = {-2, -3, 4, -1, -2, 1, 5, -3};
int n = sizeof(a)/sizeof(a[0]);
int max_sum = maxSubArraySum(a, n);
cout << "Maximum contiguous sum is " << max_sum;
return 0;
}
52 changes: 52 additions & 0 deletions C++/Knapsack_0-1.cpp
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// Problem Statement
/*
Given weights and values of n items, put these items in a knapsack of capacity W to
get the maximum total value in the knapsack. In other words, given two integer arrays
val[0..n-1] and wt[0..n-1] which represent values and weights associated with n items
respectively. Also given an integer W which represents knapsack capacity,
find out the maximum value subset of val[] such that sum of the weights
of this subset is smaller than or equal to W. You cannot break an item,
either pick the complete item or don’t pick it (0-1 property).

*/

// Algorithm :

// A Dynamic Programming based
// solution for 0-1 Knapsack problem
#include<bits/stdc++.h>
using namespace std ;

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

int main()
{
int val[] = { 60, 100, 120 };
int wt[] = { 10, 20, 30 };
int W = 50;
int n = sizeof(val) / sizeof(val[0]);
out<< knapSack(W, wt, val, n)) <<'\n';
return 0;
}
38 changes: 38 additions & 0 deletions C++/Longest_Common_Subsequence.cpp
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#include<bits/stdc++.h>
using namespace std ;

int LCS(string a,string b){
int m = a.length() ;
int n = b.length() ;

int lcs[m + 1][n + 1];

for (int i = 0; i <= m; i++)
{
for (int j = 0; j <= n; j++)
{
if (i == 0 || j == 0)
lcs[i][j] = 0;

else if (X[i - 1] == Y[j - 1])
lcs[i][j] = lcs[i - 1][j - 1] + 1;

else
lcs[i][j] = max(lcs[i - 1][j], lcs[i][j - 1]);
}
}

/* lcs[m][n] contains length of LCS
for X[0..n-1] and Y[0..m-1] */
return lcs[m][n];
}

int main(){
string str1,str2 ;
cout << "Take two strings to find their LCS\n";
cin >> str1 >> str2 ;
cout << "Length of LCS is "
<< LCS( str1 , str2 );

return 0 ;
}
23 changes: 23 additions & 0 deletions javascript/Binary_Search.js
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// Iterative function to implement Binary Search
let iterativeFunction = function (arr, x) {

let start=0, end=arr.length-1;

// Iterate while start not meets end
while (start<=end){

// Find the mid index
let mid=Math.floor((start + end)/2);

// If element is present at mid, return True
if (arr[mid]===x) return true;

// Else look in left or right half accordingly
else if (arr[mid] < x)
start = mid + 1;
else
end = mid - 1;
}

return false;
}