Masalah
Pendekatan kekerasan:
TC: O(N^2), SC: O(256) yang malar
Nota: Ini akan membawa kepada TLE
class Solution { public String minWindow(String s, String t) { int min = Integer.MAX_VALUE; int start =-1; int end = -1; //generating all possible substrings and returning the smallest substring having //all the character of string t for(int i =0;i<s.length();i++){ int arr[] = new int[256]; // all the asci characters //initialize arr with count of character in t for(int k =0;k<t.length();k++){ arr[t.charAt(k)]++; } int count =0; for(int j =i;j<s.length();j++){ // if character at j in s is also present in t, increase count if(arr[s.charAt(j)] >0){ count++; } arr[s.charAt(j)]--;//decrease the frequency of s.charAt(j) by 1 in arr if(count ==t.length()){// if count == length of t we have found one potential substring if(min> j-i+1){ min = j-i +1; start = i; end = j; } break;// break out as there is no need to propagate further in the current iteration } } } if(start ==-1 || end ==-1) return "";// if not found return s.substring(start,end+1);// else } }
Pendekatan optimum:
TC: O(n) , SC:O(256) yang malar
// this intuition will require solving such problems as much as possible class Solution { public String minWindow(String s, String t) { int left=0,right=0; int min = Integer.MAX_VALUE; int count =0; int arr[] = new int[256]; // has table for keeping count of characters // keeping track of start and end index int start =-1; int end = -1; for(int i=0;i<t.length();i++){ arr[t.charAt(i)]++; } while(right<s.length()){ char c = s.charAt(right); if(arr[c]>0){ // if the character is part of t, then increment count count++; } arr[c]--;// decrease the count of the character in the hash table once it is taken into consideration while(count ==t.length()){ // if count == t.size() we have found a potential window if(min > right-left+1){ min = right-left+1; //update the start and end accordingly start = left; end = right; } arr[s.charAt(left)]++;//since we are removing this character from window and increasing the left pointer to point to next character after this, there will be one less //character that is not part of the t if(arr[s.charAt(left)]>0){ // if after doing +1 for arr[s.charAt(left)] character, if it become positive then it will mean that this was part of t, and now we will have to look for this character in the next window count--; // since this was part of t, then count should decrement by 1 } left++; } right++; } if(start ==-1 || end ==-1) return ""; return s.substring(start,end+1); } }
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