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Completed: Kindly review the DP Problems #24

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Empty file added houserobber.jav
Empty file.
35 changes: 35 additions & 0 deletions robber.java
Original file line number Diff line number Diff line change
@@ -0,0 +1,35 @@
//Passed all the test cases on Leet Code
//Time Complexity : O(n)
//A robber has basically two options available either it will rob the current house or it wont rob the current house .
//In the first case the robber cannot go to i-1 house but can access house previous to i-2 and so on
//In second case the robber getsall the possible loot from robbery of i-1 and all the following buildings.
//Basic recursive solution : rob(i) = Math.max( rob(i - 2) + currentHouseValue, rob(i - 1) )
public class Houserobber {
public static int rob(int[] nums) {
if(nums == null || nums.length<1){
return 0;
}

if(nums.length ==1){
return nums[0];
}

int[] cache = new int[nums.length+1];
//Base cases are declared
cache[0]=nums[0];
cache[1]=Math.max(nums[0],nums[1]);

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great way of starting and not using extra space for two more elements!!


for(int i =2;i<nums.length;i++){
cache[i] = Math.max(cache[i-2]+nums[i],cache[i-1]);
}

return cache[nums.length-1];

}
public static void main (String[] args) {
int[] nums = {5,3,4,11,2};
System.out.println(rob(nums));


}
}