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#include <stdio.h> | |
#include <string.h> | |
/* Tiles are labeled clockwise starting from the top. | |
Colors are r(ed), y(ellow), g(reen), b(lue). | |
Uppercase for head, lowercase for butt. */ | |
char tiles[9][4] = { | |
"yrGB", | |
"RbyG", | |
"BrbG", | |
"RgyB", | |
"YgrB", | |
"brBY", | |
"YryG", | |
"RgyG", | |
"rbBG" }; | |
void print() { | |
for (int r = 0; r < 3; ++r) { | |
for (int c = 0; c < 3; ++c) printf(" %c ", tiles[3*r + c][0]); | |
printf("\n"); | |
for (int c = 0; c < 3; ++c) printf("%c %c", tiles[3*r + c][3], tiles[3*r + c][1]); | |
printf("\n"); | |
for (int c = 0; c < 3; ++c) printf(" %c ", tiles[3*r + c][2]); | |
printf("\n"); | |
} | |
} | |
int match(char x, char y) { | |
return (x^y) == ('A'^'a'); | |
} | |
void rotate(int i) { | |
char tmp = tiles[i][0]; | |
tiles[i][0] = tiles[i][1]; | |
tiles[i][1] = tiles[i][2]; | |
tiles[i][2] = tiles[i][3]; | |
tiles[i][3] = tmp; | |
} | |
void swap(int i, int j) { | |
for (int n = 0; n < 4; ++n) { | |
char tmp = tiles[i][n]; | |
tiles[i][n] = tiles[j][n]; | |
tiles[j][n] = tmp; | |
} | |
} | |
void search(int i) { | |
if (i == 9) { | |
printf("Solution found:\n"); | |
print(); | |
return; | |
} | |
int r = i/3, c = i%3; | |
for (int j = i; j < 9; ++j) { | |
swap(i, j); | |
for (int n = 0; n < 4; ++n) { | |
if ((r == 0 || match(tiles[i][0], tiles[i - 3][2])) && | |
(c == 0 || match(tiles[i][3], tiles[i - 1][1]))) | |
search(i + 1); | |
rotate(i); | |
} | |
swap(i, j); | |
} | |
} | |
int main() { | |
search(0); | |
} | |
/* Output: | |
Solution found: | |
G G B | |
r Bb Bb G | |
y r r | |
Y R R | |
B bB gG g | |
r y y | |
R Y Y | |
G bB gG r | |
y r y | |
Solution found: | |
G B r | |
y Rr Yy G | |
b b B | |
B B b | |
r Yy Rr G | |
g g B | |
G G b | |
y Yy Rr B | |
r g G | |
Solution found: | |
B G y | |
r Yy Rr G | |
g g Y | |
G G y | |
r Bb Bb G | |
y r R | |
Y R r | |
B bB gG b | |
r y B | |
Solution found: | |
B r r | |
r Yy Gg B | |
b B Y | |
B b y | |
y Rr Gg G | |
g B R | |
G b r | |
B rR yY y | |
b G G | |
Solution found: | |
y r y | |
r Gg Bb G | |
Y Y R | |
y y r | |
g Gg Bb B | |
R R Y | |
r r y | |
G bB bB r | |
B G G | |
Solution found: | |
G G b | |
y Yy Rr B | |
r b G | |
R B g | |
G gG rR y | |
y b B | |
Y B b | |
B gG yY r | |
r r B | |
Solution found: | |
B y r | |
b Gg Bb B | |
r R Y | |
R r y | |
G bB bB r | |
y G G | |
Y g g | |
G rR yY r | |
y G B | |
Solution found: | |
G g r | |
B rR yY y | |
b G G | |
B g g | |
G rR yY r | |
b B B | |
B b b | |
G yY rR y | |
r B G | |
*/ |
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