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May 6, 2015 12:04
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Sodoku solver
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$ sudoku | |
Row[1] : --------- | |
Row[2] : -----3-85 | |
Row[3] : --1-2---- | |
Row[4] : ---5-7--- | |
Row[5] : --4---1-- | |
Row[6] : -9------- | |
Row[7] : 5------73 | |
Row[8] : --2-1---- | |
Row[9] : ----4---9 | |
--- --- --- | |
--- --3 -85 | |
--1 -2- --- | |
--- 5-7 --- | |
--4 --- 1-- | |
-9- --- --- | |
5-- --- -73 | |
--2 -1- --- | |
--- -4- --9 | |
987 654 321 | |
246 173 985 | |
351 928 746 | |
128 537 694 | |
634 892 157 | |
795 461 832 | |
519 286 473 | |
472 319 568 | |
863 745 219 | |
Level Counts: | |
(3, 9): 1 (8, 9): 2 (4, 9): 4 (5, 9): 8 (6, 9): 15 (1, 9): 23 | |
(3, 8): 33 (8, 8): 46 (4, 8): 79 (1, 8): 119 (5, 8): 182 (6, 8): 250 | |
(9, 8): 287 (4, 7): 347 (6, 7): 478 (6, 5): 588 (6, 1): 732 (6, 3): 828 | |
(6, 4): 862 (6, 6): 895 (4, 5): 795 (4, 3): 761 (5, 5): 843 (7, 5): 829 | |
(2, 5): 616 (1, 5): 594 (2, 7): 543 (2, 3): 565 (7, 3): 551 (2, 4): 577 | |
(3, 6): 565 (3, 4): 590 (1, 4): 572 (1, 6): 595 (7, 4): 612 (5, 4): 576 | |
(7, 6): 476 (7, 7): 389 (7, 2): 262 (4, 2): 184 (2, 2): 140 (2, 1): 95 | |
(5, 6): 56 (8, 7): 34 (8, 6): 18 (3, 1): 13 (8, 1): 10 (3, 7): 7 | |
(3, 2): 8 (1, 7): 10 (5, 1): 10 (5, 2): 6 (8, 2): 4 (8, 4): 2 | |
(9, 1): 1 (1, 1): 1 (9, 2): 1 (9, 3): 1 (9, 4): 1 (4, 1): 1 | |
(9, 6): 1 (9, 7): 1 (1, 3): 1 (1, 2): 1 | |
Count = 17698 | |
Total Count = 24395 |
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#include "stdio.h" | |
int InBlock[81], InRow[81], InCol[81]; | |
const int BLANK = 0; | |
const int ONES = 0x3fe; // Binary 1111111110 | |
int Entry[81]; // Records entries 1-9 in the grid, as the corresponding bit set to 1 | |
int Block[9], Row[9], Col[9]; // Each int is a 9-bit array | |
int SeqPtr = 0; | |
int Sequence[81]; | |
int Count = 0; | |
int LevelCount[81]; | |
void SwapSeqEntries(int S1, int S2) | |
{ | |
int temp = Sequence[S2]; | |
Sequence[S2] = Sequence[S1]; | |
Sequence[S1] = temp; | |
} | |
void InitEntry(int i, int j, int val) | |
{ | |
int Square = 9 * i + j; | |
int valbit = 1 << val; | |
int SeqPtr2; | |
// add suitable checks for data consistency | |
Entry[Square] = valbit; | |
Block[InBlock[Square]] &= ~valbit; | |
Col[InCol[Square]] &= ~valbit; // Simpler Col[j] &= ~valbit; | |
Row[InRow[Square]] &= ~valbit; // Simpler Row[i] &= ~valbit; | |
SeqPtr2 = SeqPtr; | |
while (SeqPtr2 < 81 && Sequence[SeqPtr2] != Square) | |
SeqPtr2++ ; | |
SwapSeqEntries(SeqPtr, SeqPtr2); | |
SeqPtr++; | |
} | |
void PrintArray() | |
{ | |
int i, j, valbit, val, Square; | |
char ch; | |
Square = 0; | |
for (i = 0; i < 9; i++) { | |
if (i % 3 == 0) putc('\n', stdout); | |
for (j = 0; j < 9; j++) { | |
if (j % 3 == 0) putc(' ', stdout); | |
valbit = Entry[Square++]; | |
if (valbit == 0) ch = '-'; | |
else { | |
for (val = 1; val <= 9; val++) | |
if (valbit == (1 << val)) { | |
ch = '0' + val; | |
break; | |
} | |
} | |
putc(ch,stdout); | |
} | |
putc ('\n', stdout); | |
} | |
} | |
void ConsoleInput() | |
{ | |
int i, j; | |
char InputString[80]; | |
for (i = 0; i < 9; i++) { | |
printf("Row[%d] : ", i + 1); | |
scanf("%s", InputString); | |
for (j = 0; j < 9; j++) { | |
char ch = InputString[j]; | |
if (ch >= '1' && ch <= '9') | |
InitEntry(i, j, ch - '0'); | |
} | |
} | |
PrintArray(); | |
} | |
void PrintStats() | |
{ | |
int i, j, S; | |
printf("\nLevel Counts:\n\n"); | |
S = 0; | |
while (LevelCount[S] == 0) S++; | |
i = 0; | |
while (S < 81) { | |
int Seq = Sequence[S]; | |
printf("(%d, %d):%4d ", Seq / 9 + 1, Seq % 9 + 1, LevelCount[S]); | |
if (i++ > 4){ | |
printf("\n"); | |
i = 0; | |
} | |
S++; | |
} | |
printf("\n\nCount = %d\n", Count); | |
} | |
void Succeed() | |
{ | |
PrintArray(); | |
PrintStats(); | |
} | |
int NextSeq(int S) | |
{ | |
int S2, Square, Possibles, BitCount; | |
int T, MinBitCount = 100; | |
for (T = S; T < 81; T++) { | |
Square = Sequence[T]; | |
Possibles = Block[InBlock[Square]] & Row[InRow[Square]] & Col[InCol[Square]]; | |
BitCount = 0; | |
while (Possibles) { | |
Possibles &= ~(Possibles & -Possibles); | |
BitCount++; | |
} | |
if (BitCount < MinBitCount) { | |
MinBitCount = BitCount; | |
S2 = T; | |
} | |
} | |
return S2; | |
} | |
void Place(int S) | |
{ | |
LevelCount[S]++; | |
Count++; | |
if (S >= 81) { | |
Succeed(); | |
return; | |
} | |
int S2 = NextSeq(S); | |
SwapSeqEntries(S, S2); | |
int Square = Sequence[S]; | |
int BlockIndex = InBlock[Square], | |
RowIndex = InRow[Square], | |
ColIndex = InCol[Square]; | |
int Possibles = Block[BlockIndex] & Row[RowIndex] & Col[ColIndex]; | |
while (Possibles) { | |
int valbit = Possibles & (-Possibles); // Lowest 1 bit in Possibles | |
Possibles &= ~valbit; | |
Entry[Square] = valbit; | |
Block[BlockIndex] &= ~valbit; | |
Row[RowIndex] &= ~valbit; | |
Col[ColIndex] &= ~valbit; | |
Place(S + 1); | |
Entry[Square] = BLANK; // Could be moved out of the loop | |
Block[BlockIndex] |= valbit; | |
Row[RowIndex] |= valbit; | |
Col[ColIndex] |= valbit; | |
} | |
SwapSeqEntries(S, S2); | |
} | |
int main(int argc, char* argv[]) | |
{ | |
int i, j, Square; | |
for (i = 0; i < 9; i++) | |
for (j = 0; j < 9; j++) { | |
Square = 9 * i + j; | |
InRow[Square] = i; | |
InCol[Square] = j; | |
InBlock[Square] = (i / 3) * 3 + ( j / 3); | |
} | |
for (Square = 0; Square < 81; Square++) { | |
Sequence[Square] = Square; | |
Entry[Square] = BLANK; | |
LevelCount[Square] = 0; | |
} | |
for (i = 0; i < 9; i++) | |
Block[i] = Row[i] = Col[i] = ONES; | |
ConsoleInput(); | |
Place(SeqPtr); | |
printf("\n\nTotal Count = %d\n", Count); | |
return 0; | |
} |
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