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| 1 | +/* |
| 2 | +
|
| 3 | +
|
| 4 | + -* Maximum Length of a Concatenated String with Unique Characters *- |
| 5 | +
|
| 6 | + You are given an array of strings arr. A string s is formed by the concatenation of a subsequence of arr that has unique characters. |
| 7 | +
|
| 8 | +Return the maximum possible length of s. |
| 9 | +
|
| 10 | +A subsequence is an array that can be derived from another array by deleting some or no elements without changing the order of the remaining elements. |
| 11 | +
|
| 12 | +
|
| 13 | +
|
| 14 | +Example 1: |
| 15 | +
|
| 16 | +Input: arr = ["un","iq","ue"] |
| 17 | +Output: 4 |
| 18 | +Explanation: All the valid concatenations are: |
| 19 | +- "" |
| 20 | +- "un" |
| 21 | +- "iq" |
| 22 | +- "ue" |
| 23 | +- "uniq" ("un" + "iq") |
| 24 | +- "ique" ("iq" + "ue") |
| 25 | +Maximum length is 4. |
| 26 | +Example 2: |
| 27 | +
|
| 28 | +Input: arr = ["cha","r","act","ers"] |
| 29 | +Output: 6 |
| 30 | +Explanation: Possible longest valid concatenations are "chaers" ("cha" + "ers") and "acters" ("act" + "ers"). |
| 31 | +Example 3: |
| 32 | +
|
| 33 | +Input: arr = ["abcdefghijklmnopqrstuvwxyz"] |
| 34 | +Output: 26 |
| 35 | +Explanation: The only string in arr has all 26 characters. |
| 36 | +
|
| 37 | +
|
| 38 | +Constraints: |
| 39 | +
|
| 40 | +1 <= arr.length <= 16 |
| 41 | +1 <= arr[i].length <= 26 |
| 42 | +arr[i] contains only lowercase English letters. |
| 43 | +
|
| 44 | +
|
| 45 | +*/ |
| 46 | +import 'dart:collection'; |
| 47 | +import 'dart:math'; |
| 48 | + |
| 49 | +class A { |
| 50 | + // BackTracking |
| 51 | +//Runtime: 589 ms, faster than 100.00% of Dart online submissions for Maximum Length of a Concatenated String with Unique Characters. |
| 52 | +// Memory Usage: 148.7 MB, less than 100.00% of Dart online submissions for Maximum Length of a Concatenated String with Unique Characters. |
| 53 | + |
| 54 | + int max = 0; |
| 55 | + int maxLength(List<String> arr) { |
| 56 | + backTrack(arr, "", 0); |
| 57 | + return max; |
| 58 | + } |
| 59 | + |
| 60 | + void backTrack(List<String> arr, String current, int start) { |
| 61 | + if (max < current.length) max = current.length; |
| 62 | + for (int i = start; i < arr.length; i++) { |
| 63 | + if (!isValid(current, arr.elementAt(i))) continue; |
| 64 | + backTrack(arr, current + arr.elementAt(i), i + 1); |
| 65 | + } |
| 66 | + } |
| 67 | + |
| 68 | + bool isValid(String currentString, String newString) { |
| 69 | + List<int> array = List.filled(26, 0); |
| 70 | + for (int i = 0; i < newString.length; i++) { |
| 71 | + if (++array[newString.codeUnitAt(i) - 'a'.codeUnitAt(0)] == 2) |
| 72 | + return false; |
| 73 | + if (currentString.contains( |
| 74 | + newString[i] + "", |
| 75 | + )) return false; |
| 76 | + } |
| 77 | + return true; |
| 78 | + } |
| 79 | +} |
| 80 | + |
| 81 | +class B { |
| 82 | + // Recursion |
| 83 | +// Runtime: 779 ms, faster than 100.00% of Dart online submissions for Maximum Length of a Concatenated String with Unique Characters. |
| 84 | +// Memory Usage: 173.7 MB, less than 100.00% of Dart online submissions for Maximum Length of a Concatenated String with Unique Characters. |
| 85 | + |
| 86 | + int maxLength(List<String> arr) { |
| 87 | + return solve(arr, 0, ""); |
| 88 | + } |
| 89 | + |
| 90 | + int solve(List<String> arr, int i, String soFar) { |
| 91 | + if (i == arr.length) { |
| 92 | + if (isValid(soFar)) { |
| 93 | + return soFar.length; |
| 94 | + } |
| 95 | + return 0; |
| 96 | + } |
| 97 | + |
| 98 | + int size1 = solve(arr, i + 1, soFar); |
| 99 | + int size2 = solve(arr, i + 1, soFar + arr.elementAt(i)); |
| 100 | + |
| 101 | + return max(size1, size2); |
| 102 | + } |
| 103 | + |
| 104 | + bool isValid(String s) { |
| 105 | + List<int> freq = List.filled(26, 0); |
| 106 | + |
| 107 | + for (int i = 0; i < s.length; i++) { |
| 108 | + int val = s.codeUnitAt(i) - 'a'.codeUnitAt(0); |
| 109 | + freq[val]++; |
| 110 | + |
| 111 | + if (freq[val] > 1) { |
| 112 | + return false; |
| 113 | + } |
| 114 | + } |
| 115 | + |
| 116 | + return true; |
| 117 | + } |
| 118 | +} |
| 119 | + |
| 120 | +class C { |
| 121 | + // Depth First Search |
| 122 | +// Runtime: 598 ms, faster than 100.00% of Dart online submissions for Maximum Length of a Concatenated String with Unique Characters. |
| 123 | +// Memory Usage: 152.3 MB, less than 100.00% of Dart online submissions for Maximum Length of a Concatenated String with Unique Characters. |
| 124 | + int result = 0; |
| 125 | + int maxLength(List<String> arr) { |
| 126 | + if (arr.isEmpty || arr.length == 0) { |
| 127 | + return 0; |
| 128 | + } |
| 129 | + |
| 130 | + dfs(arr, "", 0); |
| 131 | + |
| 132 | + return result; |
| 133 | + } |
| 134 | + |
| 135 | + void dfs(List<String> arr, String path, int idx) { |
| 136 | + bool isUniqueChar = isUniqueChars(path); |
| 137 | + |
| 138 | + if (isUniqueChar) { |
| 139 | + result = max(path.length, result); |
| 140 | + } |
| 141 | + |
| 142 | + if (idx == arr.length || !isUniqueChar) { |
| 143 | + return; |
| 144 | + } |
| 145 | + |
| 146 | + for (int i = idx; i < arr.length; i++) { |
| 147 | + dfs(arr, path + arr.elementAt(i), i + 1); |
| 148 | + } |
| 149 | + } |
| 150 | + |
| 151 | + bool isUniqueChars(String s) { |
| 152 | + HashSet<String> hashset = HashSet(); |
| 153 | + |
| 154 | + for (String c in s.split("")) { |
| 155 | + if (hashset.contains(c)) { |
| 156 | + return false; |
| 157 | + } |
| 158 | + hashset.add(c); |
| 159 | + } |
| 160 | + return true; |
| 161 | + } |
| 162 | +} |
| 163 | + |
| 164 | +class D { |
| 165 | +// BitMask |
| 166 | +// Runtime: 479 ms, faster than 100.00% of Dart online submissions for Maximum Length of a Concatenated String with Unique Characters. |
| 167 | +// Memory Usage: 141.2 MB, less than 100.00% of Dart online submissions for Maximum Length of a Concatenated String with Unique Characters. |
| 168 | + int maxLength(List<String> arr) { |
| 169 | + int n = arr.length; |
| 170 | + List<int> ans = List.filled(1, 0); |
| 171 | + List<List<int>> bitMap = |
| 172 | + List.filled(n, 0).map((e) => List.filled(2, 0)).toList(); |
| 173 | + for (int i = 0; i < n; ++i) { |
| 174 | + int a = 0; |
| 175 | + for (String ch in arr.elementAt(i).split("")) { |
| 176 | + int bit = ch.codeUnitAt(0) - 'a'.codeUnitAt(0); |
| 177 | + if (((a >> bit) & 1) == 1) { |
| 178 | + a = 0; |
| 179 | + break; |
| 180 | + } |
| 181 | + a |= (1 << bit); |
| 182 | + } |
| 183 | + bitMap[i][0] = a; |
| 184 | + bitMap[i][1] = a == 0 ? 0 : arr.elementAt(i).length; |
| 185 | + } |
| 186 | + dfs(arr, bitMap, ans, 0, 0, 0); |
| 187 | + return ans[0]; |
| 188 | + } |
| 189 | + |
| 190 | + void dfs(List<String> arr, List<List<int>> bitMap, List<int> ans, int start, |
| 191 | + int curLen, int curBit) { |
| 192 | + if (ans[0] < curLen) ans[0] = curLen; |
| 193 | + for (int i = start; i < arr.length; ++i) { |
| 194 | + if ((curBit & bitMap[i][0]) != 0) continue; |
| 195 | + dfs(arr, bitMap, ans, i + 1, curLen + bitMap[i][1], |
| 196 | + curBit | bitMap[i][0]); |
| 197 | + } |
| 198 | + } |
| 199 | +} |
| 200 | + |
| 201 | +class E { |
| 202 | +// Runtime: 2126 ms, faster than 100.00% of Dart online submissions for Maximum Length of a Concatenated String with Unique Characters. |
| 203 | +// Memory Usage: 207.2 MB, less than 100.00% of Dart online submissions for Maximum Length of a Concatenated String with Unique Characters. |
| 204 | + |
| 205 | + int maxLength(List<String> arr) { |
| 206 | + List<int> result = List.filled(1, 0); |
| 207 | + maxLengthUnique(arr, result, 0, ""); |
| 208 | + return result[0]; |
| 209 | + } |
| 210 | + |
| 211 | + void maxLengthUnique( |
| 212 | + List<String> arr, List<int> result, int index, String current) { |
| 213 | + int i = 0, n = arr.length; |
| 214 | + |
| 215 | + // We use queue to store all the combinations possible! |
| 216 | + Queue<String> q = Queue(); |
| 217 | + q.add(""); |
| 218 | + |
| 219 | + //Loop for all the strings in array. |
| 220 | + while (i < n) { |
| 221 | + int size = q.length; |
| 222 | + |
| 223 | + //Loop till all the elements in Queue are appended with "" and the string 'str' |
| 224 | + for (int loop = 0; loop < size; loop++) { |
| 225 | + String temp = q.removeFirst(); // temp = "" |
| 226 | + String dontConsider = temp; // dontConsider = "" |
| 227 | + String consider = temp + |
| 228 | + arr.elementAt( |
| 229 | + i); // consider = "un" --> Aboe 3 steps Repeated till the last element. |
| 230 | + |
| 231 | + // Function call to calculate the unique characters |
| 232 | + if (uniqueCharacters(dontConsider) > result[0]) { |
| 233 | + result[0] = dontConsider.length; |
| 234 | + } |
| 235 | + // Function call to calculate the unique characters |
| 236 | + if (uniqueCharacters(consider) > result[0]) { |
| 237 | + result[0] = consider.length; |
| 238 | + } |
| 239 | + // Adding the new strings to our queue again. |
| 240 | + q.add(dontConsider); |
| 241 | + q.add(consider); |
| 242 | + } |
| 243 | + i++; |
| 244 | + } |
| 245 | + } |
| 246 | + |
| 247 | + int uniqueCharacters(String string) { |
| 248 | + List<int> alpha = List.filled(26, 0); |
| 249 | + |
| 250 | + for (String character in string.split("")) |
| 251 | + if (alpha[character.codeUnitAt(0) - 'a'.codeUnitAt(0)]++ > 0) return -1; |
| 252 | + |
| 253 | + return string.length; |
| 254 | + } |
| 255 | +} |
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