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Completed: Kindly review the DP Problems #24
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Original file line number | Diff line number | Diff line change |
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@@ -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; | ||
} | ||
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if(nums.length ==1){ | ||
return nums[0]; | ||
} | ||
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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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for(int i =2;i<nums.length;i++){ | ||
cache[i] = Math.max(cache[i-2]+nums[i],cache[i-1]); | ||
} | ||
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return cache[nums.length-1]; | ||
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} | ||
public static void main (String[] args) { | ||
int[] nums = {5,3,4,11,2}; | ||
System.out.println(rob(nums)); | ||
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} | ||
} |
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great way of starting and not using extra space for two more elements!!