# Sherlock Holmes went on an adventure in a castle and saw a strange formula on the door: ABCDE *? = Edcba

Source: Internet
Author: User
/** The castle formula Sherlock Holmes went to explore a castle and saw a strange formula written on the door: ABCDE *? = Edcba he said to Watson: "ABCDE should represent different numbers. A question mark also represents a number !" WATSON: "I guess so !" As a result, the two were silenced for a long time and still did not come up with the appropriate results. Please take advantage of your computer to find the answer to the attack. Write the number represented by ABCDE. The answer is written in dig into. txt. Do not write it here! */Public class tdemo02_two {public static void main (string [] ARGs) {for (INT I = 10000; I <100000; I ++) {int A = I/10000; int B = I % 10000/1000; int c = I % 10000% 1000/100; int d = I % 10000% 1000% 100/10; int e = I % 10; if (A = B | A = c | A = d | A = E | B = c | B = d | B = = E | C = d | C = E | D = E) {continue;} int y = E * 10000 + D * 1000 + C * 100 + B * 10 + A; If (Y % I = 0) {system. out. println (I + "*" + Y/I + "=" + Y );}}}}

Running result:

21978*4=87912

Method 2:

/** The castle formula Sherlock Holmes went to explore a castle and saw a strange formula written on the door: ABCDE *? = Edcba he said to Watson: "ABCDE should represent different numbers. A question mark also represents a number !" WATSON: "I guess so !" As a result, the two were silenced for a long time and still did not come up with the appropriate results. Please take advantage of your computer to find the answer to the attack. Write the number represented by ABCDE. The answer is written in dig into. txt. Do not write it here! */Public class demo02 {// check whether all 111111... public static Boolean check (INT [] B) {Boolean flag = true; For (INT I = 0; I <B. length; I ++) {If (B [I] = 0) {flag = false; break;} return flag ;} // check whether it is a five-digit public static Boolean checkfive (INT [] B) {Boolean flag = false; int COUNT = 0; For (INT I = 0; I <B. length; I ++) {If (B [I] = 1) {count ++ ;}} if (COUNT = 5) Flag = true; return flag ;} // obtain a five-digit public static string values (INT [] B) {Str Ingbuffer sb = new stringbuffer (); For (INT I = 0; I <B. length; I ++) {If (B [I]! = 0) {sb. append (I) ;}return sb. tostring () ;}// reverse npublic static int reverse (int n) {stringbuffer sb = new stringbuffer (); sb. append (n); sb. reverse (); Return integer. parseint (sb. tostring ();} // carry to get the next digit public static void modify (INT [] B) {B [B. length-1] ++; For (INT I = B. length-1; I> 0; I --) {If (B [I]> 1) {B [I] = 0; B [I-1] ++ ;}}} public static void calc (string s) {int n = integer. parseint (s); // obtain a five-digit int r = reverse (N ); // Reverse NIF (R % N = 0) // obtain the result N *? = Rsystem. out. println (n + "*" + (R/n) + "=" + r);} public static void Allsort (char [] C, int start, int end) {char temp = 0; If (START = END) {string S = new string (c); If (S. charat (0)-'0 ')! = 0) {calc (s); // calculation result} else {for (INT I = start; I <= end; I ++) {temp = C [start]; C [start] = C [I]; C [I] = temp; Allsort (C, start + 1, end ); temp = C [start]; C [start] = C [I]; C [I] = temp ;}} public static void F (INT [] B) {for (;) {If (check (B) break; // check whether all 111111... modify (B); // carry, test the next number if (! Checkfive (B) continue; // check whether it is a five-digit string S = values (B); // obtain a five-digit char [] C = S. tochararray (); Allsort (C, 0, C. length-1); // arrange one of the five digits in full and calculate the result} public static void main (string [] ARGs) {int [] B = new int [10]; F (B );}}

Running result:

21978*4=87912

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