|
| 1 | +/* |
| 2 | +public class Recursion { |
| 3 | + public static void print_num(int n){ |
| 4 | + if(n==0){ |
| 5 | + return; |
| 6 | + } |
| 7 | + System.out.println(n); |
| 8 | + print_num(n-1); |
| 9 | + } |
| 10 | + public static void main(String[] args) { |
| 11 | + int n = 5; |
| 12 | + print_num(n); */ |
| 13 | + |
| 14 | + // 2 |
| 15 | + |
| 16 | + /* |
| 17 | + public static void print_sum(int i,int n,int sum){ |
| 18 | + if(i == n){ |
| 19 | + sum += i; |
| 20 | + System.out.println(sum); |
| 21 | + return; |
| 22 | + } |
| 23 | + sum += i; |
| 24 | + print_sum(i+1,n,sum); |
| 25 | + } |
| 26 | + public static void main(String[] args) { |
| 27 | + print_sum(1,10,0); |
| 28 | + } |
| 29 | + */ |
| 30 | + |
| 31 | + // 3 |
| 32 | + /* public static int factorial(int n){ |
| 33 | + if( n==0 || n==1){ |
| 34 | + return 1; |
| 35 | + } |
| 36 | + int fact_nm1 = factorial(n-1); |
| 37 | + int fact_n = n * fact_nm1; |
| 38 | + return fact_n; |
| 39 | + } |
| 40 | +
|
| 41 | + public static void main(String[] args) { |
| 42 | + int n = 5; |
| 43 | + System.out.println(factorial(n)); |
| 44 | + }*/ |
| 45 | + |
| 46 | + // 4. fib |
| 47 | + |
| 48 | + /* public static void fib_series(int a,int b,int n){ |
| 49 | + if(n==0){ |
| 50 | + return; |
| 51 | + } |
| 52 | + int c= a+b; |
| 53 | + System.out.println(c); |
| 54 | + fib_series(b,c,n-1); |
| 55 | + } |
| 56 | +
|
| 57 | + public static void main(String[] args) { |
| 58 | + int a=0,b=1; |
| 59 | + System.out.println(a); |
| 60 | + System.out.println(b); |
| 61 | + int n=7; |
| 62 | + fib_series(a,b,n-2); |
| 63 | + } |
| 64 | +} |
| 65 | +*/ |
| 66 | + |
| 67 | +// Tower_Of_Hanoi |
| 68 | +/* |
| 69 | +public class Recursion { |
| 70 | + public static void Tower_Of_Hanoi(int n,String src, String helper,String dest){ |
| 71 | +
|
| 72 | + if(n == 1){ |
| 73 | + System.out.println("Transfer Disk "+n+" From "+src+" To "+dest); |
| 74 | + return; |
| 75 | + } |
| 76 | + Tower_Of_Hanoi(n-1,src,dest,helper); |
| 77 | + System.out.println("Transfer Disk "+n+" From "+src+" To "+dest); |
| 78 | + Tower_Of_Hanoi(n-1,helper,src,dest); |
| 79 | + } |
| 80 | +
|
| 81 | + public static void main(String[] args) { |
| 82 | + int n =3; |
| 83 | + Tower_Of_Hanoi(n,"S","H","D"); |
| 84 | + } |
| 85 | +} |
| 86 | +// OUTPUT: |
| 87 | +
|
| 88 | +Transfer Disk 1 From S To D |
| 89 | +Transfer Disk 2 From S To H |
| 90 | +Transfer Disk 1 From D To H |
| 91 | +Transfer Disk 3 From S To D |
| 92 | +Transfer Disk 1 From H To S |
| 93 | +Transfer Disk 2 From H To D |
| 94 | +Transfer Disk 1 From S To D |
| 95 | + */ |
| 96 | + |
| 97 | +// 2.reverse string |
| 98 | + |
| 99 | +/* |
| 100 | +public class Recursion { |
| 101 | + public static void string_rev(String str,int idx){ // TC=O(n) |
| 102 | + if(idx==0){ |
| 103 | + System.out.print(str.charAt(idx)); |
| 104 | + return; |
| 105 | + } |
| 106 | + System.out.print(str.charAt(idx)); |
| 107 | + string_rev(str,idx-1); |
| 108 | + } |
| 109 | +
|
| 110 | + public static void main(String[] args) { |
| 111 | + String str = "Apple"; |
| 112 | + string_rev(str,str.length()-1); |
| 113 | + } |
| 114 | +}*/ |
| 115 | + |
| 116 | + |
| 117 | + |
| 118 | +// Hi It A Recursion With Best Solution |
| 119 | + |
| 120 | +// 1.Print Name 'N' Times using Recursion || TC=O(n) SC=O(n) || |
| 121 | + |
| 122 | +/* |
| 123 | +public class Recursion { |
| 124 | + public static void print_name(int i, int n){ |
| 125 | + if(i>n){ |
| 126 | + return; |
| 127 | + } |
| 128 | + System.out.println("NS Loni Good Morning"); |
| 129 | + print_name(i+1,n); |
| 130 | + } |
| 131 | +
|
| 132 | + public static void main(String[] args) { |
| 133 | + int n =3; |
| 134 | + print_name(1,n); |
| 135 | + } |
| 136 | +} |
| 137 | +// output: |
| 138 | +
|
| 139 | +NS Loni Good Morning |
| 140 | +NS Loni Good Morning |
| 141 | +NS Loni Good Morning |
| 142 | + */ |
| 143 | + |
| 144 | + |
| 145 | +// 2. Print linearly From 1 to N |
| 146 | +/* |
| 147 | +public class Recursion { |
| 148 | + public static void print_name(int i, int n){ |
| 149 | + if(i>n){ |
| 150 | + return; |
| 151 | + } |
| 152 | + System.out.print(" "+i); |
| 153 | + print_name(i+1,n); |
| 154 | + } |
| 155 | +
|
| 156 | + public static void main(String[] args) { |
| 157 | + int n =5; |
| 158 | + print_name(1,n); |
| 159 | + } |
| 160 | +} |
| 161 | +//OUTPUT: 1 2 3 4 5 |
| 162 | +*/ |
| 163 | + |
| 164 | + |
| 165 | + |
| 166 | +// 3. Print linearly From N to 1 |
| 167 | +/* |
| 168 | +public class Recursion { |
| 169 | + public static void print_name(int i, int n){ |
| 170 | + if(i<n){ |
| 171 | + return; |
| 172 | + } |
| 173 | + System.out.print(" "+i); |
| 174 | + print_name(i-1,n); |
| 175 | + } |
| 176 | +
|
| 177 | + public static void main(String[] args) { |
| 178 | + int i = 5; |
| 179 | + int n = 1; |
| 180 | + print_name(i,n); |
| 181 | + } |
| 182 | +} |
| 183 | +// OUTPUT: 5 4 3 2 1 |
| 184 | + */ |
| 185 | + |
| 186 | +// 4. Print linearly From 1 to N WITH_OUT USING {i+1} |
| 187 | +/* |
| 188 | +public class Recursion { |
| 189 | + public static void print_name(int i, int n){ |
| 190 | + if(i<1){ |
| 191 | + return; |
| 192 | + } |
| 193 | + print_name(i-1,n); |
| 194 | + System.out.print(" "+i); |
| 195 | + } |
| 196 | +
|
| 197 | + public static void main(String[] args) { |
| 198 | + int n =5; |
| 199 | + print_name(n,n); |
| 200 | + } |
| 201 | +}*/ |
| 202 | +// OUTPUT: 1 2 3 4 5 |
| 203 | + |
| 204 | +// 5. Print linearly From n TO 1--> WITH_OUT USING {i-1} |
| 205 | +/* |
| 206 | +public class Recursion { |
| 207 | + public static void print_name(int i, int n){ |
| 208 | + if(i>n){ |
| 209 | + return; |
| 210 | + } |
| 211 | + print_name(i+1,n); |
| 212 | + System.out.print(" "+i); |
| 213 | + } |
| 214 | +
|
| 215 | + public static void main(String[] args) { |
| 216 | + int n =5; |
| 217 | + int i=1; |
| 218 | + print_name(i,n); |
| 219 | + } |
| 220 | +}*/ |
| 221 | +// OUTPUT: 5 4 3 2 1 |
| 222 | + |
| 223 | + |
| 224 | +// 6.Sum n natural numbers |
| 225 | +/* |
| 226 | +public class Recursion { |
| 227 | + public static int sum_n_num(int n){ |
| 228 | + if(n==0){ |
| 229 | + return 0; |
| 230 | + } |
| 231 | + return n + sum_n_num(n-1); |
| 232 | + } |
| 233 | +
|
| 234 | + public static void main(String[] args) { |
| 235 | + int n = 5; |
| 236 | + int res = sum_n_num(n); |
| 237 | + System.out.println(res); |
| 238 | + } |
| 239 | +} |
| 240 | +// 15 |
| 241 | + */ |
| 242 | + |
| 243 | +// 7.Factorial TC = O(n) |
| 244 | +/* |
| 245 | +public class Recursion { |
| 246 | + public static int sum_n_num(int n){ |
| 247 | + if(n==1){ |
| 248 | + return 1; |
| 249 | + } |
| 250 | + return n * sum_n_num(n-1); |
| 251 | + } |
| 252 | +
|
| 253 | + public static void main(String[] args) { |
| 254 | + int n = 5; |
| 255 | + int res = sum_n_num(n); |
| 256 | + System.out.println("Factorial of Number: "+res); |
| 257 | + } |
| 258 | +} |
| 259 | +// output: Factorial of Number: 120 |
| 260 | +*/ |
| 261 | + |
| 262 | +// 8.Fibonacci Series |
| 263 | +/* |
| 264 | +
|
| 265 | +public class Recursion { |
| 266 | + public static int fibo(int n){ |
| 267 | + if(n==0){ |
| 268 | + return 0; |
| 269 | + } |
| 270 | + if(n==1){ |
| 271 | + return 1; |
| 272 | + } |
| 273 | + return fibo(n-1) + fibo(n-2); |
| 274 | + } |
| 275 | +
|
| 276 | + public static void print_fibo(int n){ |
| 277 | + for (int i = 0; i < n; i++) { |
| 278 | + System.out.print(fibo(i)+" "); // 0 1 1 2 3 |
| 279 | + } |
| 280 | + } |
| 281 | +
|
| 282 | + public static void main(String[] args) { |
| 283 | + int n = 5; |
| 284 | + int res = fibo(n); |
| 285 | + System.out.println("Fib of Numbers: "+res); // Fib of Numbers: 5 |
| 286 | + print_fibo(n); |
| 287 | + } |
| 288 | +} |
| 289 | +*/ |
| 290 | + |
| 291 | +// 9. Reverse an Array |
| 292 | +/* |
| 293 | +public class Recursion { |
| 294 | + public static void swap(int arr[],int i, int j){ |
| 295 | + int temp = arr[i]; |
| 296 | + arr[i] = arr[j]; |
| 297 | + arr[j] = temp; |
| 298 | + } |
| 299 | + public static void rev_array(int i, int arr[], int n){ |
| 300 | + if(i>=n/2){ |
| 301 | + return; |
| 302 | + } |
| 303 | + swap(arr ,i,n-i-1); |
| 304 | + rev_array(i+1, arr, n); |
| 305 | + } |
| 306 | +
|
| 307 | + public static void main(String[] args) { |
| 308 | + int arr[] = {1,2,3,4,5}; |
| 309 | + int n = arr.length; |
| 310 | + rev_array(0,arr, n); |
| 311 | + for (int i = 0; i < n; i++) { |
| 312 | + System.out.print(arr[i]+" "); // 5 4 3 2 1 |
| 313 | + } |
| 314 | + } |
| 315 | +} |
| 316 | +*/ |
| 317 | + |
| 318 | +// 10. Palindrome |
| 319 | +/* |
| 320 | +public class Recursion { |
| 321 | + public static boolean isPalindrome(String str) { |
| 322 | + return isPalindrome(str, 0, str.length() - 1); |
| 323 | + } |
| 324 | +
|
| 325 | + private static boolean isPalindrome(String str, int start, int end) { |
| 326 | + if (start >= end) { |
| 327 | + return true; |
| 328 | + } |
| 329 | + if (str.charAt(start) != str.charAt(end)) { |
| 330 | + return false; |
| 331 | + } |
| 332 | + return isPalindrome(str, start + 1, end - 1); |
| 333 | + } |
| 334 | +
|
| 335 | + public static void main(String[] args) { |
| 336 | + String palindrome1 = "madam"; |
| 337 | + boolean isPalindrome1 = isPalindrome(palindrome1); |
| 338 | + System.out.println(palindrome1 + " is a palindrome: " + isPalindrome1); |
| 339 | + } |
| 340 | +} |
| 341 | + */ |
| 342 | +// output: madam is a palindrome: true |
| 343 | + |
| 344 | +// 11.Print all SubSequence |
| 345 | +// Eg{1}: [3,1,2] ==> [],[1],[2],[3],[1,2],[1,3],[3,2],[3,1,2]---->[8] |
| 346 | +/* |
| 347 | +public class Recursion { |
| 348 | + public static void generateSubSequences(String str, String current, int index) { |
| 349 | + if (index == str.length()) { |
| 350 | + System.out.println(current); |
| 351 | + return; |
| 352 | + } |
| 353 | + generateSubSequences(str, current + str.charAt(index), index + 1); |
| 354 | + generateSubSequences(str, current, index + 1); |
| 355 | + } |
| 356 | +
|
| 357 | + public static void main(String[] args) { |
| 358 | + String str = "abc"; |
| 359 | + generateSubSequences(str, "", 0); |
| 360 | + } |
| 361 | +} |
| 362 | +// OUTPUT: |
| 363 | +
|
| 364 | + abc |
| 365 | + ab |
| 366 | + ac |
| 367 | + a |
| 368 | + bc |
| 369 | + b |
| 370 | + c |
| 371 | +*/ |
| 372 | + |
| 373 | + |
| 374 | + |
| 375 | + |
| 376 | + |
| 377 | + |
| 378 | + |
| 379 | + |
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