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Solve SEND+MORE=MONEY puzzle with Java
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import java.util.Arrays; | |
public class SendMoreMoney { | |
public static void main(String[] args) { | |
SendMoreMoney smm = new SendMoreMoney(); | |
System.out.println("[s, e, n, d, m, o, r, y]"); | |
System.out.println(Arrays.toString(smm.solve())); | |
} | |
/* | |
* S E N D | |
* + M O R E | |
* ------------ | |
* M O N E Y | |
* where M != 0 and every digit stands for a different (unique) number | |
*/ | |
private int[] solve() { | |
int[] result = null; | |
for(int s = 0; s <= 9; s++) { | |
for(int e = 0; e <= 9; e++) { | |
for(int n = 0; n <= 9; n++) { | |
for(int d = 0; d <= 9; d++) { | |
for(int m = 1; m <= 9; m++) { // [sic!] | |
for(int o = 0; o <= 9; o++) { | |
for(int r = 0; r <= 9; r++) { | |
for(int y = 0; y <= 9; y++) { | |
// ------------------------------------------------ | |
// Does sum of SEND and MORE match MONEY? | |
if( s*1000 + e*100 + n*10 + d | |
+ m*1000 + o*100 + r*10 + e | |
== m*10000 + o*1000 + n*100 + e*10 + y) { | |
// Then put digits into result array | |
result = new int[] {s,e,n,d,m,o,r,y}; | |
// Check if elements are also unique | |
if(elementsUnique(result)) { | |
// True? That's our solution! | |
return result; | |
} | |
// else continue | |
} | |
// else continue | |
// ------------------------------------------------ | |
} | |
} | |
} | |
} | |
} | |
} | |
} | |
} | |
// we should never reach this line | |
return null; | |
} | |
private boolean elementsUnique(int[] arr) { | |
// Make a temporary copy of our result array to keep the order | |
int[] copyOfArr = new int[arr.length]; | |
System.arraycopy(arr, 0, copyOfArr, 0, arr.length); | |
// Sort | |
Arrays.sort(copyOfArr); | |
// Check for pairwise dissimilarity | |
return isPairwiseDifferent(copyOfArr, 0); | |
} | |
private boolean isPairwiseDifferent(int[] arr, int p) { | |
if(p == arr.length - 1) { | |
return true; | |
} | |
return arr[p] != arr[p+1] && isPairwiseDifferent(arr, p+1); | |
} | |
} |
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