├── pic
    ├── 1.png
    ├── 2.2.png
    ├── 3.1.png
    ├── 3.2.png
    ├── 3.3.png
    ├── 3.4.png
    ├── 3.5.png
    └── 3.6.png
├── src
    ├── Start.cpp
    ├── Global.h
    ├── CnfParser.cpp
    ├── main.cpp
    ├── DPLLSolver.cpp
    └── Sudoku.cpp
├── problems
    ├── problem2-50.cnf
    ├── sat-20.cnf
    ├── problem1-20.cnf
    ├── tst_v25_c100.cnf
    ├── problem6-50.cnf
    ├── problem9-100.cnf
    ├── problem8-50.cnf
    ├── problem3-100.cnf
    ├── unsat-5cnf-30.cnf
    ├── problem11-100.cnf
    ├── 7cnf20_90000_90000_7.shuffled-20.cnf
    ├── sud00009.cnf
    └── ais10.cnf
└── README.md


/pic/1.png:
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https://raw.githubusercontent.com/Billy1900/DPLL-Algorithm/HEAD/pic/1.png


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/pic/2.2.png:
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https://raw.githubusercontent.com/Billy1900/DPLL-Algorithm/HEAD/pic/2.2.png


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/pic/3.1.png:
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https://raw.githubusercontent.com/Billy1900/DPLL-Algorithm/HEAD/pic/3.1.png


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/pic/3.2.png:
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https://raw.githubusercontent.com/Billy1900/DPLL-Algorithm/HEAD/pic/3.2.png


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/pic/3.3.png:
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https://raw.githubusercontent.com/Billy1900/DPLL-Algorithm/HEAD/pic/3.3.png


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/pic/3.4.png:
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https://raw.githubusercontent.com/Billy1900/DPLL-Algorithm/HEAD/pic/3.4.png


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/pic/3.5.png:
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https://raw.githubusercontent.com/Billy1900/DPLL-Algorithm/HEAD/pic/3.5.png


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/pic/3.6.png:
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https://raw.githubusercontent.com/Billy1900/DPLL-Algorithm/HEAD/pic/3.6.png


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/src/Start.cpp:
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 1 | //
 2 | // Created by PC on 2019/2/16.
 3 | //
 4 | #include "Global.h"
 5 | 
 6 | void Start() {
 7 |     cout<<"Welcome to use the system!\n"
 8 |         <<"Please input the way you want to get into:"
 9 |         <<" Sudoku(For 1) SAT(For 2)\n";
10 | }


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/problems/problem2-50.cnf:
--------------------------------------------------------------------------------
 1 | c
 2 | c
 3 | c
 4 | p cnf 50 80
 5 | 7 19 24 0
 6 | 7 -19 26 0
 7 | 7 24 -26 0
 8 | 7 22 -24 0
 9 | -7 22 46 0
10 | -7 22 -46 0
11 | 8 -22 -27 0
12 | -8 -22 -27 0
13 | -22 27 43 0
14 | 9 27 -50 0
15 | -9 -43 -50 0
16 | 38 -43 50 0
17 | 34 -38 50 0
18 | -34 -38 -41 0
19 | -34 41 -46 0
20 | -17 -34 41 0
21 | -6 17 -34 0
22 | -4 6 17 0
23 | 4 6 16 0
24 | 4 -16 40 0
25 | -16 19 -40 0
26 | -16 29 -40 0
27 | -19 -29 45 0
28 | 24 -29 -36 0
29 | -24 -36 -45 0
30 | 7 36 -45 0
31 | -15 36 -45 0
32 | -2 15 36 0
33 | 2 15 30 0
34 | 2 -30 35 0
35 | -8 -30 -35 0
36 | 8 -35 -47 0
37 | 8 -28 47 0
38 | 28 33 47 0
39 | 28 -33 37 0
40 | -21 -33 -37 0
41 | -14 21 -37 0
42 | 14 21 44 0
43 | -9 14 -44 0
44 | 9 -13 -44 0
45 | 13 31 -44 0
46 | 13 -31 42 0
47 | -18 -31 -42 0
48 | -12 18 -42 0
49 | 12 18 -48 0
50 | -1 12 18 0
51 | 1 48 -49 0
52 | 1 -32 49 0
53 | 1 -11 49 0
54 | 1 3 49 0
55 | 5 11 44 0
56 | -3 5 11 0
57 | -3 -5 -20 0
58 | -5 20 -25 0
59 | -5 23 25 0
60 | -23 25 -39 0
61 | 10 -23 25 0
62 | -10 -26 39 0
63 | -10 24 26 0
64 | -18 38 48 0
65 | 31 35 39 0
66 | -36 38 0
67 | -2 -6 37 0
68 | 34 -39 -47 0
69 | -2 3 -28 0
70 | -19 -20 42 0
71 | 16 32 -49 0
72 | -25 -27 46 0
73 | -12 16 31 0
74 | -2 -4 43 0
75 | -1 23 32 0
76 | 10 -17 40 0
77 | -21 34 45 0
78 | 20 -21 30 0
79 | 5 -13 33 0
80 | -15 -48 0
81 | -14 29 37 0
82 | 3 -14 -47 0
83 | -11 35 37 0
84 | 10 -32 -41 0
85 | 


--------------------------------------------------------------------------------
/src/Global.h:
--------------------------------------------------------------------------------
 1 | //
 2 | // Created by PC on 2019/2/27.
 3 | //
 4 | 
 5 | #ifndef WORKSHOP_GLOBAL_H
 6 | #define WORKSHOP_GLOBAL_H
 7 | 
 8 | #include <iostream>
 9 | #include <fstream>
10 | #include <ctime>
11 | 
12 | using namespace std;
13 | #define TRUE 1
14 | #define FALSE 0
15 | #define ROW 9
16 | #define COL 9
17 | #define NoAnwser -1
18 | typedef int status;
19 | 
20 | typedef struct DataNode {
21 |     int data = 0;
22 |     DataNode *next{};
23 | }DataNode;
24 | 
25 | typedef struct HeadNode {
26 |     int Num = 0;
27 |     DataNode *right{};
28 |     HeadNode *down{};
29 | }HeadNode;
30 | 
31 | struct consequence {
32 |     int value = -1;//存真值 真时为true-1，假时为false-0
33 | };
34 | 
35 | struct conse {
36 |     int num = 0;
37 |     int value = -1;//存真值 真时为true-1，假时为false-0
38 | };
39 | 
40 | void Start();
41 | 
42 | HeadNode* CreateClause(int &,string &);
43 | 
44 | status DPLL(HeadNode *LIST,consequence *result);
45 | HeadNode* IsSingleClause(HeadNode*);
46 | status IsEmptyClause(HeadNode*);
47 | HeadNode* ADDSingleClause(HeadNode*,int);
48 | HeadNode* Duplication(HeadNode*);
49 | void DeleteHeadNode(HeadNode*,HeadNode*&);
50 | void DeleteDataNode(int,HeadNode*&);
51 | void show(struct consequence *,int);
52 | 
53 | int Digit(int a[][COL], int i, int j);
54 | void randomFirstRow(int a0[], int n);
55 | void createSudoku(int a[][COL]);
56 | void createStartinggrid(const int a[][COL], int b[][COL], int numDigits);
57 | void print(const int a[][COL]);
58 | string ToCnf(int a[][COL],int holes);
59 | string createSudokuToFile();
60 | status SudoDPLL(HeadNode *LIST,conse *result,int VARNUM);
61 | void SudokuShow(conse *result,int VARNUM);
62 | 
63 | #endif //WORKSHOP_GLOBAL_H
64 | 


--------------------------------------------------------------------------------
/problems/sat-20.cnf:
--------------------------------------------------------------------------------
  1 | c This Formula is generated by mcnf
  2 | c
  3 | c    horn? no 
  4 | c    forced? no 
  5 | c    mixed sat? no 
  6 | c    clause length = 3 
  7 | c
  8 | p cnf 20 91
  9 | 4 -18 19 0
 10 | 3 18 -5 0
 11 | -5 -8 -15 0
 12 | -20 7 -16 0
 13 | 10 -13 -7 0
 14 | -12 -9 17 0
 15 | 17 19 5 0
 16 | -16 9 15 0
 17 | 11 -5 -14 0
 18 | 18 -10 13 0
 19 | -3 11 12 0
 20 | -6 -17 -8 0
 21 | -18 14 1 0
 22 | -19 -15 10 0
 23 | 12 18 -19 0
 24 | -8 4 7 0
 25 | -8 -9 4 0
 26 | 7 17 -15 0
 27 | 12 -7 -14 0
 28 | -10 -11 8 0
 29 | 2 -15 -11 0
 30 | 9 6 1 0
 31 | -11 20 -17 0
 32 | 9 -15 13 0
 33 | 12 -7 -17 0
 34 | -18 -2 20 0
 35 | 20 12 4 0
 36 | 19 11 14 0
 37 | -16 18 -4 0
 38 | -1 -17 -19 0
 39 | -13 15 10 0
 40 | -12 -14 -13 0
 41 | 12 -14 -7 0
 42 | -7 16 10 0
 43 | 6 10 7 0
 44 | 20 14 -16 0
 45 | -19 17 11 0
 46 | -7 1 -20 0
 47 | -5 12 15 0
 48 | -4 -9 -13 0
 49 | 12 -11 -7 0
 50 | -5 19 -8 0
 51 | 1 16 17 0
 52 | 20 -14 -15 0
 53 | 13 -4 10 0
 54 | 14 7 10 0
 55 | -5 9 20 0
 56 | 10 1 -19 0
 57 | -16 -15 -1 0
 58 | 16 3 -11 0
 59 | -15 -10 4 0
 60 | 4 -15 -3 0
 61 | -10 -16 11 0
 62 | -8 12 -5 0
 63 | 14 -6 12 0
 64 | 1 6 11 0
 65 | -13 -5 -1 0
 66 | -7 -2 12 0
 67 | 1 -20 19 0
 68 | -2 -13 -8 0
 69 | 15 18 4 0
 70 | -11 14 9 0
 71 | -6 -15 -2 0
 72 | 5 -12 -15 0
 73 | -6 17 5 0
 74 | -13 5 -19 0
 75 | 20 -1 14 0
 76 | 9 -17 15 0
 77 | -5 19 -18 0
 78 | -12 8 -10 0
 79 | -18 14 -4 0
 80 | 15 -9 13 0
 81 | 9 -5 -1 0
 82 | 10 -19 -14 0
 83 | 20 9 4 0
 84 | -9 -2 19 0
 85 | -5 13 -17 0
 86 | 2 -10 -18 0
 87 | -18 3 11 0
 88 | 7 -9 17 0
 89 | -15 -6 -3 0
 90 | -2 3 -13 0
 91 | 12 3 -2 0
 92 | -2 -3 17 0
 93 | 20 -15 -16 0
 94 | -5 -17 -19 0
 95 | -20 -18 11 0
 96 | -9 1 -5 0
 97 | -19 9 17 0
 98 | 12 -2 17 0
 99 | 4 -16 -5 0
100 | 


--------------------------------------------------------------------------------
/problems/problem1-20.cnf:
--------------------------------------------------------------------------------
  1 | c This Formula is generated by mcnf
  2 | c
  3 | c    horn? no 
  4 | c    forced? no 
  5 | c    mixed sat? no 
  6 | c    clause length = 3 
  7 | c
  8 | p cnf 20 91
  9 | 4 -18 19 0
 10 | 3 18 -5 0
 11 | -5 -8 -15 0
 12 | -20 7 -16 0
 13 | 10 -13 -7 0
 14 | -12 -9 17 0
 15 | 17 19 5 0
 16 | -16 9 15 0
 17 | 11 -5 -14 0
 18 | 18 -10 13 0
 19 | -3 11 12 0
 20 | -6 -17 -8 0
 21 | -18 14 1 0
 22 | -19 -15 10 0
 23 | 12 18 -19 0
 24 | -8 4 7 0
 25 | -8 -9 4 0
 26 | 7 17 -15 0
 27 | 12 -7 -14 0
 28 | -10 -11 8 0
 29 | 2 -15 -11 0
 30 | 9 6 1 0
 31 | -11 20 -17 0
 32 | 9 -15 13 0
 33 | 12 -7 -17 0
 34 | -18 -2 20 0
 35 | 20 12 4 0
 36 | 19 11 14 0
 37 | -16 18 -4 0
 38 | -1 -17 -19 0
 39 | -13 15 10 0
 40 | -12 -14 -13 0
 41 | 12 -14 -7 0
 42 | -7 16 10 0
 43 | 6 10 7 0
 44 | 20 14 -16 0
 45 | -19 17 11 0
 46 | -7 1 -20 0
 47 | -5 12 15 0
 48 | -4 -9 -13 0
 49 | 12 -11 -7 0
 50 | -5 19 -8 0
 51 | 1 16 17 0
 52 | 20 -14 -15 0
 53 | 13 -4 10 0
 54 | 14 7 10 0
 55 | -5 9 20 0
 56 | 10 1 -19 0
 57 | -16 -15 -1 0
 58 | 16 3 -11 0
 59 | -15 -10 4 0
 60 | 4 -15 -3 0
 61 | -10 -16 11 0
 62 | -8 12 -5 0
 63 | 14 -6 12 0
 64 | 1 6 11 0
 65 | -13 -5 -1 0
 66 | -7 -2 12 0
 67 | 1 -20 19 0
 68 | -2 -13 -8 0
 69 | 15 18 4 0
 70 | -11 14 9 0
 71 | -6 -15 -2 0
 72 | 5 -12 -15 0
 73 | -6 17 5 0
 74 | -13 5 -19 0
 75 | 20 -1 14 0
 76 | 9 -17 15 0
 77 | -5 19 -18 0
 78 | -12 8 -10 0
 79 | -18 14 -4 0
 80 | 15 -9 13 0
 81 | 9 -5 -1 0
 82 | 10 -19 -14 0
 83 | 20 9 4 0
 84 | -9 -2 19 0
 85 | -5 13 -17 0
 86 | 2 -10 -18 0
 87 | -18 3 11 0
 88 | 7 -9 17 0
 89 | -15 -6 -3 0
 90 | -2 3 -13 0
 91 | 12 3 -2 0
 92 | -2 -3 17 0
 93 | 20 -15 -16 0
 94 | -5 -17 -19 0
 95 | -20 -18 11 0
 96 | -9 1 -5 0
 97 | -19 9 17 0
 98 | 12 -2 17 0
 99 | 4 -16 -5 0
100 | 


--------------------------------------------------------------------------------
/problems/tst_v25_c100.cnf:
--------------------------------------------------------------------------------
  1 | c
  2 | c This file was generated by -=randSat=- cnf formula generator 
  3 | c 
  4 | p cnf 25 100
  5 | -5 16 10 0
  6 | -14 17 10 0
  7 | 17 -19 13 0
  8 | -14 -4 18 0
  9 | -9 22 3 0
 10 | 1 19 -9 0
 11 | -7 18 -2 0
 12 | 22 11 17 0
 13 | -19 1 4 0
 14 | -22 16 6 0
 15 | 2 18 5 0
 16 | 24 -16 1 0
 17 | 24 14 17 0
 18 | 15 -1 11 0
 19 | 8 24 10 0
 20 | 18 1 -16 0
 21 | 1 12 4 0
 22 | 8 -25 9 0
 23 | 14 6 1 0
 24 | -18 -1 23 0
 25 | 16 13 -17 0
 26 | 2 1 20 0
 27 | -16 -24 13 0
 28 | -16 13 2 0
 29 | -25 9 17 0
 30 | -21 -12 7 0
 31 | 10 6 17 0
 32 | 3 23 15 0
 33 | -11 7 1 0
 34 | 17 -14 5 0
 35 | -17 11 -7 0
 36 | -17 22 23 0
 37 | 20 25 -4 0
 38 | 13 12 7 0
 39 | -11 8 7 0
 40 | 21 -24 9 0
 41 | 16 -15 -23 0
 42 | 10 2 17 0
 43 | -5 12 -18 0
 44 | 4 -9 -24 0
 45 | 18 13 1 0
 46 | 15 -13 25 0
 47 | 10 -25 14 0
 48 | 22 3 -24 0
 49 | 21 15 5 0
 50 | 10 4 18 0
 51 | -24 23 -7 0
 52 | 15 -16 -21 0
 53 | 18 21 2 0
 54 | -18 19 -7 0
 55 | 4 3 -16 0
 56 | 14 13 4 0
 57 | -8 -10 -7 0
 58 | -13 15 -3 0
 59 | 16 1 -20 0
 60 | 21 15 4 0
 61 | -9 -15 21 0
 62 | 2 12 21 0
 63 | 18 21 6 0
 64 | 15 -3 6 0
 65 | 12 20 15 0
 66 | 6 24 23 0
 67 | 6 -2 -17 0
 68 | 15 -20 9 0
 69 | 22 -13 -25 0
 70 | 10 -21 -16 0
 71 | 13 1 -14 0
 72 | -1 24 -6 0
 73 | 12 -13 -5 0
 74 | 14 1 -23 0
 75 | 11 18 25 0
 76 | 6 10 5 0
 77 | 11 9 23 0
 78 | 4 -24 19 0
 79 | 11 10 19 0
 80 | 10 -2 7 0
 81 | 8 9 13 0
 82 | -10 -19 2 0
 83 | -2 -15 -21 0
 84 | -13 11 -1 0
 85 | -14 10 17 0
 86 | 16 25 -6 0
 87 | 2 4 25 0
 88 | -14 21 24 0
 89 | 6 -2 22 0
 90 | 16 -12 1 0
 91 | -18 -12 22 0
 92 | -7 -14 5 0
 93 | -20 23 15 0
 94 | -4 -9 -19 0
 95 | -2 21 8 0
 96 | -18 -14 -16 0
 97 | 18 -24 8 0
 98 | 11 7 23 0
 99 | -4 -13 9 0
100 | -19 12 14 0
101 | 18 6 17 0
102 | 9 16 -4 0
103 | 14 2 -25 0
104 | -5 17 -11 0
105 | 


--------------------------------------------------------------------------------
/problems/problem6-50.cnf:
--------------------------------------------------------------------------------
  1 | c
  2 | c
  3 | p cnf 50 100
  4 | 4 37 -44 0
  5 | -4 37 39 0
  6 | -4 37 -39 0
  7 | -37 40 -44 0
  8 | -37 -40 -44 0
  9 | 13 31 44 0
 10 | -13 31 44 0
 11 | 26 -31 44 0
 12 | -2 -26 -31 0
 13 | -26 -31 49 0
 14 | 5 -26 -49 0
 15 | -5 -27 -49 0
 16 | -5 -39 -49 0
 17 | 2 -5 43 0
 18 | -2 39 43 0
 19 | 39 -43 48 0
 20 | -15 -43 -48 0
 21 | -34 -43 -48 0
 22 | 28 34 -48 0
 23 | 18 -28 34 0
 24 | -18 -28 -36 0
 25 | -18 24 -28 0
 26 | -3 -18 -24 0
 27 | 3 -12 -24 0
 28 | 5 10 12 0
 29 | 10 12 -24 0
 30 | -10 12 -20 0
 31 | -10 20 25 0
 32 | -10 -25 -35 0
 33 | 20 23 -25 0
 34 | 2 20 23 0
 35 | -2 23 -39 0
 36 | -19 -23 -25 0
 37 | 19 -23 47 0
 38 | 19 -20 47 0
 39 | 13 43 -47 0
 40 | 13 -23 -47 0
 41 | -13 14 34 0
 42 | 14 17 -34 0
 43 | 14 -17 -34 0
 44 | -13 22 -47 0
 45 | -14 -22 29 0
 46 | -21 -22 35 0
 47 | -22 -29 -35 0
 48 | -29 33 41 0
 49 | 1 33 -41 0
 50 | -1 33 -41 0
 51 | 16 -29 -33 0
 52 | -16 21 50 0
 53 | 27 -33 42 0
 54 | 27 -42 50 0
 55 | -21 -27 50 0
 56 | -11 -16 -33 0
 57 | 8 22 -50 0
 58 | 8 -16 -50 0
 59 | -8 46 -50 0
 60 | -6 -8 -46 0
 61 | 1 -8 -17 0
 62 | -1 -17 -46 0
 63 | 6 42 45 0
 64 | 6 42 -46 0
 65 | 6 -37 -42 0
 66 | 15 17 45 0
 67 | -15 17 45 0
 68 | 9 -42 -45 0
 69 | -9 38 -45 0
 70 | -7 -38 -45 0
 71 | -1 -9 -38 0
 72 | 7 15 -30 0
 73 | 7 -30 -38 0
 74 | 7 30 -41 0
 75 | 10 30 -40 0
 76 | 30 -40 41 0
 77 | -4 15 40 0
 78 | -15 40 41 0
 79 | 4 -32 35 0
 80 | 4 21 -32 0
 81 | -21 -32 -35 0
 82 | -30 35 46 0
 83 | 21 22 46 0
 84 | -11 26 28 0
 85 | 29 -36 49 0
 86 | 5 18 36 0
 87 | -7 9 49 0
 88 | 19 36 48 0
 89 | -3 -14 16 0
 90 | 24 31 32 0
 91 | 2 24 32 0
 92 | 3 38 48 0
 93 | -7 8 16 0
 94 | 1 -11 -19 0
 95 | 11 29 36 0
 96 | 3 -14 25 0
 97 | -3 38 47 0
 98 | -6 9 -12 0
 99 | 11 26 0
100 | -12 25 28 0
101 | 18 -19 -36 0
102 | -6 -9 27 0
103 | -20 -27 32 0


--------------------------------------------------------------------------------
/src/CnfParser.cpp:
--------------------------------------------------------------------------------
 1 | //
 2 | // Created by PC on 2019/2/17.
 3 | //
 4 | #include "Global.h"
 5 | 
 6 | HeadNode* CreateClause(int &VARNUM,string &filename) {
 7 |     //FileOpen
 8 |     string HFilePath = R"(C:\Users\PC\CLionProjects\Workshop\)";
 9 |     string path = HFilePath + filename;
10 |     ifstream fis(path);
11 |     if(!fis){
12 |         cout<<"File can not open.";
13 |         exit;
14 |     }
15 |     char ch;
16 |     char buf[100];
17 |     fis>>ch;
18 |     while (ch != 'p') {
19 |         fis.getline(buf,100);
20 |         fis>>ch;
21 |     }
22 |     string cnf;
23 |     int VarNum,ClauseNum;
24 |     fis>>cnf>>VarNum>>ClauseNum;
25 |     fis.get();
26 | 
27 |     /*and write into 2 dimensional link lists*/
28 |     //loading the initial node
29 |     HeadNode* HEAD = new HeadNode;
30 |     HeadNode* headRear = HEAD;
31 |     HeadNode* END = new HeadNode;
32 |     for (int i = 0 ; i < ClauseNum ; i++) {
33 |         //load on the data lists
34 |         int temp;
35 |         fis>>temp;
36 |         //load the first data node
37 |         DataNode* front = new DataNode;
38 |         front->data = temp;
39 |         headRear->right = front;
40 |         headRear->Num++;
41 |         //the >2th data loading
42 |         fis >> temp;
43 |         while (temp != 0) {
44 |             DataNode* rear = new DataNode;
45 |             front->next = rear;
46 |             rear->data = temp;
47 |             front = front->next;
48 |             headRear->Num++;
49 |             fis >> temp;
50 |         }
51 |         front->next = nullptr;
52 |         fis.get();//换行符
53 |         HeadNode *tp = new HeadNode;
54 |         headRear->down = tp;
55 |         END = headRear;
56 |         headRear = headRear->down;
57 |     }
58 |     END->down = nullptr;
59 | 
60 |     //output link lists
61 |     HeadNode* Phead = HEAD;
62 |     DataNode* front;
63 |     cout<<"CnfParser\n";
64 |     while(Phead != nullptr) {
65 |         front = Phead->right;
66 |         while(front != nullptr) {
67 |             cout<<front->data<<" ";
68 |             front = front->next;
69 |         }
70 |         cout<<endl;
71 |         Phead = Phead->down;
72 |     }
73 | 
74 |     VARNUM = VarNum;
75 |     return HEAD;
76 | }


--------------------------------------------------------------------------------
/src/main.cpp:
--------------------------------------------------------------------------------
 1 | #include "Modular/Global.h"
 2 | 
 3 | 
 4 | 
 5 | int main() {
 6 |     Start();
 7 |     int choice = 0;
 8 |     cin>>choice;
 9 |     while (choice){
10 |         if(choice == 1) {
11 |         string filename = createSudokuToFile();
12 |         int VARNUM;
13 |         HeadNode* LIST = CreateClause(VARNUM,filename);
14 |         conse SudoResult[VARNUM];//记录最终的真假值
15 |         clock_t StartTime,EndTime;
16 |         StartTime = clock();
17 |         int value = SudoDPLL(LIST,SudoResult,VARNUM);
18 |         EndTime = clock();
19 |         cout<<"T "<<(double)(EndTime-StartTime)/CLOCKS_PER_SEC*1000.0<<" ms\n";
20 |         if(value == 1)
21 |             SudokuShow(SudoResult,VARNUM);
22 |         else
23 |             cout<<"there is no anwser.";
24 |         }
25 | 
26 |         else if (choice == 2) {//SAT
27 |             int VARNUM;
28 |             string filename = "sud00009.cnf";
29 |             HeadNode* LIST = CreateClause(VARNUM,filename);
30 |             consequence result[VARNUM];//记录最终的真假值
31 |             clock_t StartTime,EndTime;
32 |             //cout<<"Result: \n";
33 |             //StartTime = clock();
34 |             //int value = DPLL(LIST,result);
35 |             //EndTime = clock();
36 |             //if(value) {
37 |             //    cout << "S " << TRUE << endl;
38 |             //    show(result, VARNUM);//输出解
39 |             //}
40 |             //else {
41 |             //    cout << "S " << NoAnwser << endl;
42 |             //    cout<<"V "<<endl;
43 |             //}
44 |             //cout<<"T "<<(double)(EndTime-StartTime)/CLOCKS_PER_SEC*1000.0<<" ms\n";
45 | 
46 |              //写到文件
47 |              string suffix = ".res";
48 |              string name = "solution";
49 |              string Outputfile = name + suffix;
50 |              ofstream fos(Outputfile);
51 |              if(!fos.is_open()) {
52 |                  cout<<"Can not open a new file.\n";
53 |                  exit;
54 |              }
55 | 
56 |             StartTime = clock();
57 |             int value = DPLL(LIST,result);
58 |             EndTime = clock();
59 |             //结果
60 |             if(value) {
61 |                 fos << "S " << TRUE << endl;
62 |                 fos<<"V ";
63 |                 for(int i = 0; i < VARNUM; i++) {
64 |                     if (result[i].value == TRUE)
65 |                         fos<<i+1<<" ";
66 |                     else if(result[i].value == FALSE)
67 |                         fos<<-(i+1)<<" ";
68 |                     else
69 |                         fos<<(i+1)<<" ";//剩下一堆可true可false，就索性输出true
70 |                 }
71 |                 fos<<endl;
72 |             }
73 |             else {
74 |                 fos << "S " << NoAnwser << endl;
75 |                 fos<<"V ";
76 |                 fos<<endl;
77 |             }
78 |             //时间
79 |             fos<<"T "<<(double)(EndTime-StartTime)/CLOCKS_PER_SEC*1000.0<<" ms\n";
80 |             fos.close();
81 | 
82 |         }
83 |         else { //其他值不理睬
84 |             cout<<"Please input the right num! ";
85 |             exit;
86 |         }
87 |         choice = 0;
88 |     }
89 | }


--------------------------------------------------------------------------------
/problems/problem9-100.cnf:
--------------------------------------------------------------------------------
  1 | c
  2 | p cnf 100 200
  3 | 1 35 64 0
  4 | 28 -64 69 0
  5 | 1 -28 -64 0
  6 | -1 22 69 0
  7 | -22 38 93 0
  8 | 38 69 -93 0
  9 | -1 -22 -38 0
 10 | 19 35 -69 0
 11 | -19 35 -69 0
 12 | 17 -35 72 0
 13 | -17 72 78 0
 14 | -17 -35 72 0
 15 | -35 -72 -79 0
 16 | -68 -72 79 0
 17 | 68 -72 -89 0
 18 | -51 68 89 0
 19 | -37 68 89 0
 20 | -25 37 89 0
 21 | 25 32 37 0
 22 | 15 25 -32 0
 23 | -15 -32 36 0
 24 | -13 -15 -36 0
 25 | -15 -34 -36 0
 26 | 13 -36 71 0
 27 | 13 45 -71 0
 28 | -45 -71 99 0
 29 | -45 -71 -90 0
 30 | 14 66 -99 0
 31 | 66 98 -99 0
 32 | -45 66 -98 0
 33 | -1 -66 -99 0
 34 | 45 90 97 0
 35 | 90 94 97 0
 36 | -66 90 97 0
 37 | -28 37 53 0
 38 | -37 53 -66 0
 39 | -53 84 -97 0
 40 | -28 -53 -84 0
 41 | 1 -93 -97 0
 42 | 44 93 -97 0
 43 | 27 -44 93 0
 44 | -27 -44 -98 0
 45 | -26 -27 -44 0
 46 | 26 -27 -81 0
 47 | 14 26 92 0
 48 | 26 81 92 0
 49 | 42 81 -92 0
 50 | 42 81 -95 0
 51 | 3 -33 -92 0
 52 | -3 -33 -42 0
 53 | -42 -47 -92 0
 54 | -42 70 76 0
 55 | 33 -70 76 0
 56 | 33 59 -76 0
 57 | -56 -59 -76 0
 58 | -21 -59 -76 0
 59 | -22 56 -59 0
 60 | 21 -31 56 0
 61 | 15 21 -96 0
 62 | 21 22 -96 0
 63 | -9 82 96 0
 64 | -9 22 -82 0
 65 | 4 9 96 0
 66 | -4 54 96 0
 67 | -4 -54 -95 0
 68 | -4 -39 -54 0
 69 | -54 74 95 0
 70 | -68 74 95 0
 71 | 60 -74 95 0
 72 | 33 58 -74 0
 73 | -33 58 -60 0
 74 | -3 58 -60 0
 75 | -3 -58 -74 0
 76 | -58 -60 -80 0
 77 | 3 52 -58 0
 78 | 3 -52 91 0
 79 | 5 55 -91 0
 80 | -5 -52 55 0
 81 | -14 -52 56 0
 82 | -14 -56 -91 0
 83 | -14 -56 -83 0
 84 | 13 -19 -55 0
 85 | -13 -19 -91 0
 86 | 25 -55 -87 0
 87 | -25 -55 -87 0
 88 | 14 19 -64 0
 89 | 19 51 63 0
 90 | -51 63 64 0
 91 | 11 -63 64 0
 92 | 7 -11 40 0
 93 | 7 -40 -63 0
 94 | -11 -63 -100 0
 95 | -7 -11 75 0
 96 | -7 -46 -75 0
 97 | 46 74 86 0
 98 | 46 -75 86 0
 99 | -77 88 100 0
100 | -86 -88 100 0
101 | -75 -77 -100 0
102 | 46 -67 -86 0
103 | -62 67 -86 0
104 | 62 67 -88 0
105 | 62 67 78 0
106 | -5 62 -78 0
107 | 18 -78 88 0
108 | -18 24 79 0
109 | 24 -78 -79 0
110 | -18 -24 -50 0
111 | -18 -24 43 0
112 | -24 -43 -69 0
113 | -30 -43 50 0
114 | -23 32 -43 0
115 | -23 -32 65 0
116 | 9 -23 -65 0
117 | -9 30 -65 0
118 | 23 30 -82 0
119 | 23 49 100 0
120 | 30 49 -100 0
121 | 23 -49 -53 0
122 | -48 -49 53 0
123 | 48 -49 -65 0
124 | -16 48 88 0
125 | -16 65 -88 0
126 | -40 48 65 0
127 | 8 39 57 0
128 | 16 -39 57 0
129 | -8 16 57 0
130 | 16 -57 85 0
131 | -57 -83 -85 0
132 | 2 -12 -85 0
133 | -2 -12 -57 0
134 | 20 83 -85 0
135 | -20 34 -94 0
136 | -34 83 -94 0
137 | 83 -93 -94 0
138 | 12 -20 73 0
139 | -20 61 77 0
140 | 61 -73 -77 0
141 | 8 -61 82 0
142 | 8 -73 -82 0
143 | -29 -61 -73 0
144 | -8 41 -61 0
145 | 10 38 -41 0
146 | -8 10 -38 0
147 | -10 -41 -70 0
148 | -10 -38 -41 0
149 | -6 -10 70 0
150 | 6 -17 70 0
151 | 2 6 7 0
152 | 2 -7 17 0
153 | -2 27 -84 0
154 | -2 17 -84 0
155 | -39 54 91 0
156 | 77 85 -90 0
157 | 15 -48 99 0
158 | 42 -79 -96 0
159 | 32 92 98 0
160 | -40 59 -62 0
161 | -21 86 94 0
162 | 4 10 -98 0
163 | 11 40 -89 0
164 | 4 63 91 0
165 | 27 -70 73 0
166 | 12 60 75 0
167 | -25 47 61 0
168 | 49 51 98 0
169 | 31 34 43 0
170 | -6 29 47 0
171 | -13 39 -68 0
172 | 77 -80 85 0
173 | -62 82 87 0
174 | 5 -21 -34 0
175 | -31 71 80 0
176 | 40 54 -67 0
177 | 39 52 55 0
178 | 9 36 76 0
179 | 24 -30 -50 0
180 | 5 -48 94 0
181 | 34 -46 73 0
182 | 75 78 87 0
183 | -12 -46 80 0
184 | 11 44 -81 0
185 | -30 -67 84 0
186 | 60 -80 -87 0
187 | 18 -29 31 0
188 | -16 28 29 0
189 | 41 51 -81 0
190 | 28 -29 -47 0
191 | 59 -90 99 0
192 | -47 -89 -95 0
193 | 44 71 80 0
194 | 52 -83 87 0
195 | -5 31 50 0
196 | -6 36 84 0
197 | 20 29 43 0
198 | 6 20 45 0
199 | 18 -26 -51 0
200 | 12 50 -50 0
201 | -31 47 79 0
202 | -26 -37 41 0


--------------------------------------------------------------------------------
/README.md:
--------------------------------------------------------------------------------
  1 | # DPLL-Algorithm
  2 | An algorithm to solve SAT problem
  3 | 
  4 | 
  5 | ## 1 系统总体设计
  6 | 
  7 | 
  8 | ## 1.1 系统总流程
  9 | 
 10 | ![image](https://github.com/Billy1900/DPLL-Algorithm/blob/master/pic/1.png)
 11 |  
 12 | ## 1.2 模块功能描述
 13 | 
 14 | 1.Start模块：输出提示词，提示用户输入参数进行选择，输入1进入数独模块，输入2进入SAT问题模块。
 15 | 
 16 | 2.CnfParser模块：读取后缀为.cnf的文件数据，将文件中的变元数和子句数提取出来保存，将每个子句保存入设定好的数据结构中，并将每个子句末尾的0丢弃。保存成功后，遍历输出结果人工与文件内容比对观察是否正确读取。
 17 | 
 18 | 3.DPLLSolver模块：该模块主要实现DPLL算法框架，是本程序的核心框架。该算法计算cnf公式的变元真假值并将结果记录下来。若cnf文件中的算例有解的话，就会返回TRUE，将变元的结果输出；若算例无解返回FALSE，不输出结果。
 19 | 
 20 | 4.Sudoku模块：该模块是数独模块。首先使用挖洞法生成数独终盘，再挖洞生成数独初盘。将数独初盘转化成SAT问题，即将其转换成CNF公式输入到.Cnf文件中，并将文件名返回main函数中。在经过CnfParser模块解析文件后，使用该模块中的SudokuDPLL函数计算出数独的结果并输出。
 21 |  
 22 | ![image](https://github.com/Billy1900/DPLL-Algorithm/blob/master/pic/2.2.png)
 23 |  
 24 | 
 25 | ## 2 系统详细设计
 26 | 
 27 | 
 28 | ## 2.1 数据结构定义
 29 | 
 30 | 
 31 | 1）子句头节点定义：
 32 | 
 33 | <pre>typedef struct HeadNode {
 34 |     
 35 |     int Num = 0;
 36 |     
 37 |     DataNode *right{};
 38 |     
 39 |     HeadNode *down{};
 40 | 
 41 | }HeadNode;
 42 | </pre>
 43 | 子句头节点有三个成员；Num记录该行子句的数据个数，指针right指向到子句第一个数据节点，指针down指向到下一行子句。
 44 | 
 45 | 2）子句数据节点定义：
 46 | 
 47 | <pre>typedef struct DataNode {
 48 |     
 49 |     int data = 0;
 50 |     
 51 |     DataNode *next{};
 52 | 
 53 | }DataNode;</pre>
 54 | 
 55 | 数据节点有两个成员；data记录该数据节点的值，指针next指向下一个数据节点。
 56 | 
 57 | 3）存储真值结构定义：
 58 | 
 59 | <pre>struct consequence {
 60 |     
 61 |     int value = -1;//存真值 真时为true-1，假时为false-0
 62 | 
 63 | };</pre>
 64 | 
 65 | value存入数组的某一元素的真值；若为真，value = 1；若为假，value = 0。
 66 | 
 67 | 4）存储数独真值结构定义：
 68 | 
 69 | <pre>struct conse {
 70 |     
 71 |     int num = 0;
 72 |     
 73 |     int value = -1;//存真值 真时为true-1，假时为false-0
 74 | 
 75 | };</pre>
 76 | 
 77 | 结构体conse有两个成员；num存储数独转换为cnf公式的数值，value存储真值；若为真，value = 1；若为假，value = 0。
 78 | 
 79 | 5）系统总体存储结构关系
 80 | 
 81 | 主要运用结构体HeadNode和DataNode存储数据，根据两种结构体的数据成员，下图展示出结构体之间的逻辑关系。
 82 |  
 83 | ![image](https://github.com/Billy1900/DPLL-Algorithm/blob/master/pic/3.1.png)
 84 | 
 85 | ## 3. 主要算法设计
 86 | 
 87 | 
 88 | ## 3.1 CnfParser模块
 89 | 
 90 | 
 91 | 该模块主要功能是将cnf文件中的数据读取出来并将它存储到数据结构中。根据文件的特点，现做如下算法设计。算法流程如下图：
 92 |  
 93 |  ![image](https://github.com/Billy1900/DPLL-Algorithm/blob/master/pic/3.2.png)
 94 | 
 95 | ## 3.2 DPLLSolver模块
 96 | <pre>
 97 | 
 98 | DPLL算法思想如下：
 99 | 
100 | Status DPLL( S) {
101 | 
102 | /* S为公式对应的子句集。若其满足，返回TURE；否则返回FALSE. */
103 | 
104 | while(S中存在单子句) { 
105 | 
106 | 在S中选一个单子句L，并将单子句装入结果数组，value置为1；
107 | 
108 | 依据单子句规则，利用L化简S；
109 | 
110 | if S = Φ return(TRUE);
111 | 
112 | else if (S中有空子句 ) return（FALSE）；
113 | 
114 | }
115 | 
116 | V = S第一个数据节点数值
117 | 
118 | if DPLL（S ∪v ）return(TURE);
119 | 
120 | return DPLL(S ∪¬v);
121 | 
122 | }</pre>
123 | 
124 | 1）HeadNode*  IsSingleClause（HeadNode*）函数：寻找是否存在单子句。遍历头节点，若任意一行的Num存在为1的情况，即证明存在单子句，并返回单子句的指针。
125 | 
126 | 2）void DeleteHeadNode(HeadNode* des, HeadNode* &src) 函数：在src指向的子句集中删掉des子句。此处应用了src的引用指针变量。
127 | 
128 | 3）void DeleteDataNode(int data.HeadNode*&src) 函数：在src指向的子句集中若有节点的数值与data相等，则删除该变元所在的子句；若只是绝对值相等，则删除该变元。
129 | 
130 | 4）status IsEmptyClause(HeadNode* src)函数：判断src函数中是否存在空子句，即遍历头节点，若存在头节点不为空且Num值为0的，即表示存在空子句，返回TRUE；否则，返回FALSE。
131 | 
132 | 5）HeadNode* ADDSingleClause(HeadNode* src,int Var)函数：将变元Var装载成为单子句，并将该单子句装载到src的子句集中，依照函数内容，该单子句始终添加到头节点，最终返回头节点指针。
133 | 
134 | 6）HeadNode* Duplication(HeadNode* src)函数：将src所指向的子句集复制一个副本，并将副本的头指针返回。
135 | 
136 | ## 3.3 Sudoku模块
137 | 
138 | 
139 | 该模块功能是①创建数独终盘，②通过挖洞法创建数独初盘，○3将数独初盘转换成SAT问题并转换成cnf公式输出到文件，并返回文件名。
140 | 
141 | 1）CreateSudoku模块：
142 | 
143 | 伪代码如下：
144 | 
145 | <pre>void createSudoku(int a[][COL]) { //生成数独
146 |     
147 |     randomFirstRow(a[0],COL);//随机生成第一行
148 |     
149 |     Digit(a,1,0);//递归生成后i行
150 | 
151 | }
152 | </pre>
153 | randomFirstRow函数算法流程：
154 |  
155 | ![image](https://github.com/Billy1900/DPLL-Algorithm/blob/master/pic/3.3.png)
156 | 
157 | Digit函数算法流程：
158 |  
159 | ![image](https://github.com/Billy1900/DPLL-Algorithm/blob/master/pic/3.4.png)
160 | 
161 | 2）数独初盘生成模块
162 | createStartinggrid函数算法流程：
163 |  
164 | ![image](https://github.com/Billy1900/DPLL-Algorithm/blob/master/pic/3.5.png)
165 | 
166 | 3）数独问题转换为SAT问题
167 | 
168 | ToCnf函数模块：
169 | 
170 | 以下为函数算法说明：
171 | ![image](https://github.com/Billy1900/DPLL-Algorithm/blob/master/pic/3.6.png)
172 | 


--------------------------------------------------------------------------------
/src/DPLLSolver.cpp:
--------------------------------------------------------------------------------
  1 | //
  2 | // Created by PC on 2019/2/18.
  3 | //
  4 | #include "Global.h"
  5 | 
  6 | status IsEmptyClause(HeadNode* LIST) {
  7 |     HeadNode* PHead = LIST;
  8 |     while (PHead != nullptr) {
  9 |         if(PHead->Num == 0)
 10 |             return TRUE;
 11 |         PHead = PHead->down;
 12 |     }
 13 |     return FALSE;
 14 | }
 15 | 
 16 | HeadNode* IsSingleClause(HeadNode* Pfind) {
 17 |     while (Pfind != nullptr ) {
 18 |         if(Pfind->Num == 1)
 19 |             return Pfind;
 20 |         Pfind = Pfind->down;
 21 |     }
 22 |     return nullptr;
 23 | }
 24 | 
 25 | HeadNode* Duplication(HeadNode* LIST) { //此处检验传参正常，开始检查复制有无逻辑错误
 26 |     HeadNode* SrcHead = LIST;
 27 |     HeadNode* ReHead = new HeadNode;//新链表的头节点
 28 |     ReHead->Num = SrcHead->Num;//复制第一个头节点
 29 |     HeadNode* Phead = ReHead;//Phead创建头节点
 30 |     DataNode *ReData = new DataNode;//新链表的数据节点
 31 |     DataNode *FirstSrcData = SrcHead->right;//用于创建第一行的第一个数据节点
 32 |     ReData->data = FirstSrcData->data;//新链表的第一个数据节点的数值
 33 |     Phead->right = ReData;
 34 |     for (FirstSrcData = FirstSrcData->next;FirstSrcData != nullptr; FirstSrcData = FirstSrcData->next) {//第一行链表复制完成
 35 |         DataNode *NewDataNode = new DataNode;
 36 |         NewDataNode->data = FirstSrcData->data;
 37 |         ReData->next = NewDataNode;
 38 |         ReData = ReData->next;
 39 |     }
 40 |     //此下行数节点的复制 >=2th
 41 |     for(SrcHead = SrcHead->down; SrcHead != nullptr ; SrcHead = SrcHead->down) {
 42 |         HeadNode* NewHead = new HeadNode;
 43 |         DataNode* NewData = new DataNode;
 44 |         NewHead->Num = SrcHead->Num;
 45 |         Phead->down = NewHead;
 46 |         Phead = Phead->down;
 47 |         DataNode* SrcData = SrcHead->right;
 48 |         NewData->data = SrcData->data;
 49 |         Phead->right = NewData;//第一个数据节点
 50 |         for (SrcData = SrcData->next;SrcData != nullptr; SrcData = SrcData->next) {//此行剩下的数据节点
 51 |             DataNode* node = new DataNode;
 52 |             node->data = SrcData->data;
 53 |             NewData->next = node;
 54 |             NewData = NewData->next;
 55 |         }
 56 |         NewData->next = nullptr;
 57 |     }
 58 |     Phead->down = nullptr;
 59 | 
 60 |     return ReHead;
 61 | }
 62 | 
 63 | HeadNode* ADDSingleClause(HeadNode* LIST,int Var) { //所加的单子句位于链表的头
 64 |     HeadNode* AddHead = new HeadNode;
 65 |     DataNode* AddData = new DataNode;
 66 |     AddData->data = Var;
 67 |     AddData->next = nullptr;
 68 |     AddHead->right = AddData;
 69 |     AddHead->Num = 1;
 70 |     AddHead->down = LIST;
 71 |     LIST = AddHead;
 72 |     return LIST;
 73 | }
 74 | 
 75 | void DeleteDataNode(int temp,HeadNode *&LIST) {
 76 |     for (HeadNode* pHeadNode = LIST; pHeadNode != nullptr ; pHeadNode = pHeadNode->down)
 77 |         for (DataNode *rear = pHeadNode->right; rear != nullptr ; rear = rear->next) {
 78 |             if (rear->data == temp)  //相等删除整行
 79 |                 DeleteHeadNode(pHeadNode,LIST);
 80 |             else if (abs(rear->data) == abs(temp)) { //仅仅是绝对值相等铲除该节点
 81 |                 if(rear == pHeadNode->right) { //头节点删除
 82 |                     pHeadNode->right = rear->next;
 83 |                     pHeadNode->Num--;
 84 |                 }
 85 |                 else{ //删除普通节点
 86 |                     for (DataNode* front = pHeadNode->right; front != nullptr; front= front->next)
 87 |                         if(front->next == rear) {
 88 |                             front->next = rear->next;
 89 |                             pHeadNode->Num--;
 90 |                         }
 91 |                 }
 92 |             }
 93 |         }
 94 | }
 95 | 
 96 | void DeleteHeadNode(HeadNode *Clause,HeadNode *&LIST) {
 97 |     if (!Clause) return;
 98 |     if(Clause == LIST)
 99 |         LIST = Clause->down;
100 |     else {
101 |         for (HeadNode *front = LIST; front != nullptr; front = front->down)
102 |             if (front->down == Clause) {
103 |                 front->down = Clause->down;
104 |             }
105 |     }
106 | }
107 | 
108 | void show(struct consequence *result,int VarNum) {
109 |     cout<<"V ";
110 |     for(int i = 0; i < VarNum; i++) {
111 |         if (result[i].value == TRUE)
112 |             cout<<i+1<<" ";
113 |         else if(result[i].value == FALSE)
114 |             cout<<-(i+1)<<" ";
115 |         else
116 |             cout<<(i+1)<<" ";//剩下一堆可true可false，就索性输出true
117 |     }
118 |     cout<<endl;
119 | }
120 | 
121 | status DPLL(HeadNode *LIST,consequence *result) {
122 |     //单子句规则
123 |     HeadNode* Pfind = LIST;
124 |     HeadNode* SingleClause = IsSingleClause(Pfind);
125 |     while (SingleClause != nullptr) {
126 |         SingleClause->right->data > 0 ? result[abs(SingleClause->right->data)-1].value = TRUE : result[abs(SingleClause->right->data)-1].value = FALSE;
127 |         int temp = SingleClause->right->data;
128 |         DeleteHeadNode(SingleClause,LIST);//删除单子句这一行
129 |         DeleteDataNode(temp,LIST);//删除相等或相反数的节点
130 |         if(!LIST) return TRUE;
131 |         else if(IsEmptyClause(LIST)) return FALSE;
132 |         Pfind = LIST;
133 |         SingleClause = IsSingleClause(Pfind);//回到头节点继续进行检测是否有单子句
134 |     }
135 |     //分裂策略
136 |     int Var = LIST->right->data;//选取变元
137 |     HeadNode* replica = Duplication(LIST);//存放LIST的副本replica
138 |     HeadNode *temp1 = ADDSingleClause(LIST,Var);//装载变元成为单子句
139 |     if(DPLL(temp1,result)) return TRUE;
140 |     else {
141 |         HeadNode *temp2 = ADDSingleClause(replica,-Var);
142 |         return DPLL(temp2,result);
143 |     }
144 | }


--------------------------------------------------------------------------------
/problems/problem8-50.cnf:
--------------------------------------------------------------------------------
  1 | c 
  2 | c
  3 | p cnf 50 300
  4 | 1 21 24 0
  5 | -1 7 11 0
  6 | 5 -11 48 0
  7 | 5 7 -11 0
  8 | 5 21 34 0
  9 | -5 24 34 0
 10 | -24 34 42 0
 11 | 21 -24 -42 0
 12 | 16 17 42 0
 13 | 16 -17 42 0
 14 | 15 31 42 0
 15 | 15 -16 -31 0
 16 | 15 -34 39 0
 17 | 38 -39 41 0
 18 | -34 -38 -39 0
 19 | 15 40 -41 0
 20 | 15 -40 -41 0
 21 | 21 45 50 0
 22 | 21 -34 -45 0
 23 | -15 28 37 0
 24 | -15 21 -50 0
 25 | -15 21 -30 0
 26 | -28 -34 -50 0
 27 | 9 -19 50 0
 28 | 16 -19 -50 0
 29 | 9 -16 50 0
 30 | 9 -21 -50 0
 31 | -19 -21 32 0
 32 | 4 -19 -21 0
 33 | -4 -19 -21 0
 34 | 17 23 -32 0
 35 | 17 -23 -28 0
 36 | 6 9 26 0
 37 | 9 -17 26 0
 38 | -9 24 26 0
 39 | 12 22 24 0
 40 | 12 -22 39 0
 41 | 12 -22 24 0
 42 | 7 24 38 0
 43 | -7 -19 38 0
 44 | -19 24 -26 0
 45 | 1 -21 -24 0
 46 | -1 -21 -24 0
 47 | 19 24 -41 0
 48 | 19 -24 44 0
 49 | 19 -41 -44 0
 50 | 11 19 20 0
 51 | -11 19 20 0
 52 | -12 19 20 0
 53 | 14 -20 41 0
 54 | -14 15 41 0
 55 | 22 27 -45 0
 56 | -20 -22 27 0
 57 | 1 -20 -45 0
 58 | -1 -20 -27 0
 59 | 6 19 41 0
 60 | 9 31 33 0
 61 | -2 27 -31 0
 62 | -2 9 -31 0
 63 | -2 -9 38 0
 64 | -2 -6 -38 0
 65 | 1 -2 -33 0
 66 | -1 -2 -33 0
 67 | -15 36 50 0
 68 | 4 6 31 0
 69 | -6 31 -50 0
 70 | 4 -6 36 0
 71 | -15 -36 48 0
 72 | -4 -15 50 0
 73 | 5 -6 50 0
 74 | -4 5 -48 0
 75 | -5 -6 -48 0
 76 | 30 38 42 0
 77 | -5 30 -38 0
 78 | 10 30 -42 0
 79 | 30 -48 50 0
 80 | -6 18 -48 0
 81 | 6 18 -48 0
 82 | -6 18 -37 0
 83 | -6 -18 50 0
 84 | 5 10 25 0
 85 | 2 5 -25 0
 86 | 2 -5 10 0
 87 | -20 23 39 0
 88 | 2 -23 37 0
 89 | -23 30 37 0
 90 | -23 37 39 0
 91 | -20 37 39 0
 92 | 4 -10 42 0
 93 | 4 37 -42 0
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300 | 20 35 49 0
301 | 17 -35 49 0
302 | 35 -46 49 0
303 | 6 35 49 0


--------------------------------------------------------------------------------
/problems/problem3-100.cnf:
--------------------------------------------------------------------------------
  1 | c
  2 | p cnf 100 340
  3 | 50 59 89 0
  4 | 44 -50 59 0
  5 | -50 59 89 0
  6 | 23 -59 72 0
  7 | -23 -59 89 0
  8 | 4 72 -89 0
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342 | -1 33 -97 0


--------------------------------------------------------------------------------
/src/Sudoku.cpp:
--------------------------------------------------------------------------------
  1 | #include "Global.h"
  2 | 
  3 | #define CORRECT 0
  4 | #define WRONG -1
  5 | static int T = 0;
  6 | 
  7 | int Digit(int a[][COL], int i, int j) {//递归填充数独元素
  8 |     if (i < ROW && j < COL) {
  9 |         int x,y,k;
 10 |         int check[COL+1]={CORRECT};//用于排除已经使用过的的数字
 11 |         for(x = 0 ; x < i ; x++)
 12 |             check[a[x][j]] = WRONG;//列已使用的数字置为WRONG
 13 |         for(x = 0 ; x < j ; x++)
 14 |             check[a[i][x]] = WRONG;//行使用过的数字置为WRONG
 15 |         for(x = i/3*3 ; x <= i; x++) {
 16 |             if(x == i)
 17 |                 for(y = j/3*3 ; y < j; y++)
 18 |                     check[a[x][y]] = WRONG;
 19 |             else
 20 |                 for(y = j/3*3 ; y < j/3*3 + 3; y++)
 21 |                     check[a[x][y]] = WRONG;
 22 |         }
 23 | 
 24 |         int flag = 0;
 25 |         for(k = 1; k <= COL && flag == 0 ; k++){//从check数组中查找安全的数字
 26 |             if(check[k] == CORRECT){
 27 |                 flag = 1;
 28 |                 a[i][j] = k;
 29 |                 if(j == COL-1 && i != ROW-1){
 30 |                     if(Digit(a,i+1,0) == CORRECT) return CORRECT;
 31 |                     else flag = 0;
 32 |                 }
 33 |                 else if(j != COL-1){
 34 |                     if(Digit(a,i,j+1) == CORRECT) return CORRECT;
 35 |                     else flag = 0;
 36 |                 }
 37 |             }
 38 |         }
 39 |         if( flag == 0 ) {
 40 |             a[i][j] = 0;
 41 |             return WRONG;
 42 |         }
 43 |     }
 44 |     return CORRECT;
 45 | }
 46 | 
 47 | void randomFirstRow(int a0[], int n) {//随机生成第一行
 48 |     int i,j;
 49 |     srand((unsigned)time(nullptr));
 50 |     for( i = 0 ; i < n ; i++){
 51 |         a0[i] = rand()%9 + 1;
 52 |         j = 0 ;
 53 |         while(j < i){
 54 |             if(a0[i] == a0[j]){
 55 |                 a0[i] = rand()%9 + 1;
 56 |                 j = 0;
 57 |             }
 58 |             else j++;
 59 |         }
 60 |     }
 61 | }
 62 | 
 63 | void createSudoku(int a[][COL]){ //生成数独
 64 |     randomFirstRow(a[0],COL);//随机生成第一行
 65 |     Digit(a,1,0);//递归生成后i行
 66 | }
 67 | 
 68 | void createStartinggrid(const int a[][COL], int b[][COL], int numDigits) {//随机生成初盘
 69 |     int i,j,k;
 70 |     srand((unsigned)time(nullptr));
 71 |     for( i = 0; i < ROW ; i ++)
 72 |         for( j = 0; j < COL ; j++)
 73 |             b[i][j] = a[i][j];
 74 | 
 75 |     int c[numDigits][2];
 76 |     int m,flag = 0;
 77 | 
 78 |     for( i = 0; i < numDigits ; i++) {
 79 |         j = rand()%9;
 80 |         k = rand()%9;
 81 | 
 82 |         flag = 0;
 83 |         for(m = 0; m < i ; m++)
 84 |             if( j == c[m][0] && k == c[m][1])
 85 |                 flag = 1;
 86 | 
 87 |         if(flag == 0){
 88 |             b[j][k] = 0;
 89 |             c[i][0] = j;
 90 |             c[i][1] = k;
 91 |         }
 92 |         else
 93 |             i--;
 94 |     }
 95 | }
 96 | 
 97 | void print(const int a[][COL]){//打印数独数组
 98 |     int i,j;
 99 |     for( i = 0 ; i < ROW ; i++){
100 |         for( j = 0 ; j < COL ; j++)
101 |             printf("%d ", a[i][j]);
102 |         cout<<endl;
103 |     }
104 | }
105 | 
106 | string ToCnf(int a[][COL],int holes) {
107 |     ofstream in ("sudoku.cnf");//定义输入文件
108 |     if(!in.is_open())
109 |         cout<<"can't open!\n";
110 |     in<<"p"<<" "<<"cnf"<<" "<<729<<" "<<8829+81-holes<<" "<<endl;
111 |     //single clause
112 |     for (int x = 0; x < ROW; ++x) {
113 |         for (int y = 0; y < COL; ++y)
114 |             if(a[x][y] != 0)
115 |                 in<<(x+1)*100 + (y+1)*10 + a[x][y]<<" "<<0<<endl;
116 |     }
117 |     //entry
118 |     for (int x = 1; x <= 9; ++x) {
119 |         for (int y = 1; y <= 9; ++y) {
120 |             for (int z = 1; z <= 9; ++z)
121 |                 in << x * 100 + y * 10 + z << " ";
122 |             in<<0;
123 |             in<<endl;
124 |         }
125 |     }
126 |     //row
127 |     for (int y = 1; y <= 9; ++y) {
128 |         for (int z = 1; z <= 9; ++z)
129 |             for (int x = 1; x <= 8; ++x)
130 |                 for (int i = x+1; i <= 9; ++i)
131 |                     in<<0 - (x*100 + y*10 + z)<<" "
132 |                       <<0 - (i*100 + y*10 + z)<<" "<<0<<endl;
133 |     }
134 |     //column
135 |     for (int x = 1; x <= 9; ++x) {
136 |         for (int z = 1; z <=9 ; ++z)
137 |             for (int y = 1; y <= 8; ++y)
138 |                 for (int i = y+1; i <= 9; ++i)
139 |                     in<<0-(x*100 + y*10 + z)<<" "
140 |                       <<0-(x*100 + i*10 + z)<<" "<<0<<endl;
141 |     }
142 |     //3*3 sub-grids
143 |     for (int z = 1; z <= 9 ; ++z) {
144 |         for (int i = 0; i <=2 ; ++i)
145 |             for (int j = 0; j <=2 ; ++j)
146 |                 for (int x = 1; x <= 3 ; ++x)
147 |                     for (int y = 1; y <= 3; ++y)
148 |                         for (int k = y+1; k <= 3; ++k)
149 |                             in<<0 - ((3*i+x)*100 + (3*j+y)*10 + z)<<" "
150 |                               <<0-((3*i+x)*100 + (3*j+k)*10 + z)<<" "<<0<<endl;
151 |     }
152 |     for (int z = 1; z <= 9; z++) {
153 |         for (int i = 0; i <= 2; i++)
154 |             for (int j = 0; j <= 2; j++)
155 |                 for (int x = 1; x <= 3; x++)
156 |                     for (int y = 1; y <= 3; y++)
157 |                         for (int k = x + 1; k <= 3; k++)
158 |                             for (int l = 1; l <= 3; l++)
159 |                                 in << 0 - ((3*i+x)*100 + (3*j+y)*10 + z) << ' '
160 |                                    << 0 - ((3*i+k)*100 + (3*j+l)*10 + z) << ' ' << 0 <<endl;
161 |     }
162 |     in.close();
163 |     return string("cmake-build-debug\\sudoku.cnf");
164 | }
165 | 
166 | string createSudokuToFile() {
167 |     int sudoku[ROW][COL]={0};
168 |     int starting_grid[ROW][COL]={0};
169 |     int holes = 5;//挖洞个数
170 |     createSudoku(sudoku);//生成数独终盘
171 |     createStartinggrid(sudoku,starting_grid,holes);//生成初盘
172 |     print(starting_grid);//输出初盘
173 |     //转化为cnf文件
174 |     string filename = ToCnf(starting_grid,holes);
175 |     return filename;
176 | }
177 | 
178 | status SudoDPLL(HeadNode *LIST,conse *result,int VARNUM) {
179 |     //单子句规则
180 |     HeadNode* Pfind = LIST;
181 |     HeadNode* SingleClause = IsSingleClause(Pfind);
182 |     while (SingleClause != nullptr) {
183 |         result[T].num = SingleClause->right->data;
184 |         SingleClause->right->data > 0 ? result[T++].value = TRUE : result[T++].value = FALSE;
185 |         int temp = SingleClause->right->data;
186 |         DeleteHeadNode(SingleClause,LIST);//删除单子句这一行
187 |         DeleteDataNode(temp,LIST);//删除相等或相反数的节点
188 |         if(!LIST) return TRUE;
189 |         else if(IsEmptyClause(LIST)) return FALSE;
190 |         Pfind = LIST;
191 |         SingleClause = IsSingleClause(Pfind);//回到头节点继续进行检测是否有单子句
192 |     }
193 |     //分裂策略
194 |     int Var = LIST->right->data;//选取变元
195 |     HeadNode* replica = Duplication(LIST);//存放LIST的副本replica
196 |     HeadNode *temp1 = ADDSingleClause(LIST,Var);//装载变元成为单子句
197 |     if(SudoDPLL(temp1,result,VARNUM)) return TRUE;
198 |     else {
199 |         HeadNode *temp2 = ADDSingleClause(replica,-Var);
200 |         return SudoDPLL(temp2,result,VARNUM);
201 |     }
202 | }
203 | 
204 | void SudokuShow(conse *result,int VARNUM) {
205 |     int res[9][9] = {0};
206 |     for (int i = 0; i < VARNUM; ++i) {
207 |         if(result[i].value == TRUE) {
208 |             int x = (int)( abs(result[i].num) / 100 ) - 1;
209 |             int y = (int)( (abs(result[i].num) - (x+1)*100) / 10 ) - 1;
210 |             res[x][y] = abs(result[i].num) - (x+1)*100 - (y+1)*10;
211 |         }
212 |     }
213 |     //输出result数组
214 |     for (int i = 0; i < 9; ++i) {
215 |         for (int j = 0; j < 9; ++j) {
216 |             cout<<res[i][j]<<" ";
217 |         }
218 |         cout<<endl;
219 |     }
220 | }


--------------------------------------------------------------------------------
/problems/unsat-5cnf-30.cnf:
--------------------------------------------------------------------------------
  1 | p cnf 30 420
  2 | 21 -9 -8 6 0
  3 | 29 22 -4 26 -18 0
  4 | 9 15 22 -7 -10 0
  5 | 24 -19 -7 12 16 0
  6 | -25 -14 -4 12 -5 0
  7 | -21 23 11 14 -18 0
  8 | -16 -28 30 4 7 0
  9 | 26 5 29 -22 -9 0
 10 | -1 27 -29 13 0
 11 | -15 13 -2 -22 0
 12 | -10 -17 23 -21 0
 13 | 25 29 24 11 0
 14 | -10 27 28 30 22 0
 15 | -28 -24 13 -21 0
 16 | 18 -9 -14 15 -21 0
 17 | 2 -25 1 -17 -14 0
 18 | -30 -18 -4 -16 23 0
 19 | 17 12 -21 3 -25 0
 20 | 7 -4 29 14 9 0
 21 | -21 1 -9 -6 14 0
 22 | -23 -10 -1 -14 0
 23 | -23 29 20 -6 9 0
 24 | -11 20 23 -6 7 0
 25 | -23 6 4 25 -19 0
 26 | -4 9 12 24 -17 0
 27 | 15 -19 -6 0
 28 | 14 8 17 -23 0
 29 | 3 -1 -2 -16 20 0
 30 | -30 12 25 1 -24 0
 31 | 8 -6 -2 -19 25 0
 32 | 17 -7 -24 -15 -21 0
 33 | 21 -28 -19 -17 1 0
 34 | -22 -18 -13 28 2 0
 35 | -19 27 -20 -30 10 0
 36 | -26 -28 -23 -25 -7 0
 37 | 27 -15 -24 13 -22 0
 38 | 24 -27 20 -30 0
 39 | -17 -28 -14 -21 -13 0
 40 | -25 5 -3 12 -23 0
 41 | -15 -14 -20 27 12 0
 42 | 18 -9 -8 4 16 0
 43 | -22 -24 29 28 10 0
 44 | -20 10 12 -24 -29 0
 45 | 15 -7 -4 -3 0
 46 | -9 -5 16 4 0
 47 | -28 18 -22 -5 -26 0
 48 | -5 13 -29 -8 20 0
 49 | 18 11 -21 17 0
 50 | 8 18 3 -6 -16 0
 51 | -10 9 22 -3 -13 0
 52 | 21 -17 -19 -5 0
 53 | -21 -12 -11 0
 54 | 26 -13 4 -8 -25 0
 55 | 30 15 -28 -24 -29 0
 56 | -24 -27 -12 -15 -18 0
 57 | 11 -24 29 -3 0
 58 | -8 -10 12 29 0
 59 | 14 -10 -27 -16 -6 0
 60 | -11 -27 12 7 18 0
 61 | -26 -25 14 8 0
 62 | 29 -28 -4 27 -7 0
 63 | 2 4 12 6 1 0
 64 | -14 29 26 30 0
 65 | -16 19 -21 24 11 0
 66 | 6 -30 8 19 -26 0
 67 | 30 -11 14 -7 27 0
 68 | 9 23 17 24 0
 69 | 10 -18 -21 -7 0
 70 | 3 25 11 -24 -12 0
 71 | -5 4 3 6 15 0
 72 | 4 28 16 15 -23 0
 73 | -27 -15 -6 -25 12 0
 74 | -19 -30 -4 24 0
 75 | 28 16 18 21 -29 0
 76 | -29 27 -26 -30 -23 0
 77 | -25 -14 3 20 0
 78 | -29 24 5 -27 0
 79 | 11 5 -12 21 9 0
 80 | 7 3 13 -6 8 0
 81 | -3 28 -6 4 16 0
 82 | 10 -29 -7 -5 8 0
 83 | 1 23 5 4 -11 0
 84 | -13 -29 12 1 -20 0
 85 | -25 -15 10 26 -17 0
 86 | -19 -28 -15 27 -21 0
 87 | 4 -1 7 -24 -21 0
 88 | 15 27 20 -7 -8 0
 89 | -7 28 16 15 -29 0
 90 | -26 12 22 2 -13 0
 91 | -14 5 -12 25 17 0
 92 | 12 -16 -18 -8 -26 0
 93 | 11 -17 -8 -2 -6 0
 94 | -1 11 -12 -2 -27 0
 95 | -12 -22 3 1 -23 0
 96 | 17 -3 24 0
 97 | -26 -27 2 30 0
 98 | -1 -25 -6 -21 -11 0
 99 | 3 -23 26 -19 -14 0
100 | 19 -11 13 -22 30 0
101 | 10 -18 3 4 22 0
102 | -5 29 -4 -10 23 0
103 | 30 -16 22 -10 0
104 | -8 -24 -23 7 26 0
105 | 22 -2 14 30 3 0
106 | -23 17 15 14 10 0
107 | 15 -4 6 -26 0
108 | -7 -18 -24 -2 0
109 | 5 -3 -24 23 20 0
110 | -12 -9 22 -13 24 0
111 | -20 -11 -19 15 -16 0
112 | 25 -16 27 -14 -30 0
113 | -9 17 -15 -4 0
114 | -5 4 15 18 -17 0
115 | 13 -9 6 15 16 0
116 | 19 13 -27 -23 0
117 | -14 -16 11 -23 -28 0
118 | -25 -18 -23 4 11 0
119 | -26 -17 23 20 0
120 | 27 4 -20 22 8 0
121 | 17 8 -15 -3 -1 0
122 | 4 -1 10 17 23 0
123 | -16 -11 -19 29 -27 0
124 | 28 -10 -29 -2 30 0
125 | 26 -5 18 -6 0
126 | -3 -21 5 -8 13 0
127 | -15 -29 -27 -24 18 0
128 | -27 24 30 7 -6 0
129 | -26 -25 -7 4 28 0
130 | 27 -20 18 4 7 0
131 | -18 -29 -14 5 7 0
132 | 21 -30 -14 -6 -13 0
133 | 10 24 -2 -25 30 0
134 | 20 -15 28 -2 18 0
135 | -25 -1 -19 -26 0
136 | 29 22 10 7 0
137 | -3 -9 -17 -16 11 0
138 | 2 25 -22 -8 9 0
139 | 4 8 -28 -19 -30 0
140 | -12 -21 -18 -22 -11 0
141 | 22 8 -13 -6 0
142 | 15 -2 -11 23 -8 0
143 | -8 23 4 -15 -6 0
144 | -27 6 22 3 0
145 | -2 -22 -27 8 -15 0
146 | -17 2 -4 15 0
147 | -2 -3 23 0
148 | 20 -22 -29 25 -13 0
149 | -3 -11 -23 -22 13 0
150 | 13 -21 19 10 0
151 | -17 7 -6 14 13 0
152 | -3 20 1 29 8 0
153 | 1 -23 19 25 -20 0
154 | -18 17 -3 25 0
155 | 11 -8 -14 -1 21 0
156 | 18 19 15 10 -3 0
157 | 7 22 -12 -27 -18 0
158 | 18 7 20 -2 9 0
159 | 21 12 11 -15 7 0
160 | 2 -17 12 9 -14 0
161 | -25 -9 24 -27 -10 0
162 | -16 1 -9 -22 8 0
163 | 17 -12 21 13 -19 0
164 | -28 -8 25 -4 -15 0
165 | 23 -1 14 25 5 0
166 | -26 27 -23 -7 5 0
167 | -12 21 10 16 0
168 | -7 23 14 -20 1 0
169 | 3 -10 4 -16 0
170 | -4 20 -6 23 -2 0
171 | -7 6 -27 16 0
172 | -19 -17 -26 28 1 0
173 | 30 24 16 20 11 0
174 | 21 30 9 -22 0
175 | -19 2 23 1 -13 0
176 | 20 -29 22 -16 2 0
177 | -1 -30 25 27 15 0
178 | -17 13 30 0
179 | 12 -8 -1 22 25 0
180 | -22 -24 -25 2 0
181 | 17 -16 -4 22 28 0
182 | -26 -12 -28 4 0
183 | -14 29 25 19 3 0
184 | 29 -4 15 -11 -27 0
185 | 20 -14 4 -16 13 0
186 | -19 -9 20 -18 -29 0
187 | -28 -11 6 18 30 0
188 | 16 21 24 18 0
189 | -13 25 29 24 -5 0
190 | 21 16 -15 -18 -19 0
191 | -5 23 1 10 -28 0
192 | 13 -11 22 -4 -17 0
193 | -6 25 -19 16 11 0
194 | 2 -11 29 -10 5 0
195 | -30 -28 -5 -21 0
196 | 16 -1 -5 3 0
197 | -22 3 -8 -15 -4 0
198 | -20 16 -21 -19 0
199 | -8 6 -27 10 -15 0
200 | 24 14 -10 -3 0
201 | 30 26 -7 -19 -28 0
202 | -13 -29 -10 15 -27 0
203 | 28 21 20 26 9 0
204 | -24 -4 29 28 5 0
205 | -26 18 -27 9 -3 0
206 | -4 15 12 28 -30 0
207 | 24 13 -17 2 0
208 | 6 -16 22 -20 7 0
209 | -18 -1 17 7 8 0
210 | -23 -3 5 30 28 0
211 | -8 -3 16 7 9 0
212 | 8 27 2 -17 -12 0
213 | 8 -4 -19 -11 -15 0
214 | 14 -7 -17 -11 -20 0
215 | 14 -26 -10 5 0
216 | 25 2 -29 -30 -26 0
217 | -29 6 8 27 0
218 | 14 13 -11 -9 8 0
219 | 22 -4 21 1 20 0
220 | -13 3 23 -12 0
221 | -22 -5 -10 -11 17 0
222 | -30 27 -25 2 0
223 | -10 -23 26 -29 1 0
224 | 19 13 -1 9 14 0
225 | -8 -19 1 0
226 | 8 14 29 9 -26 0
227 | -24 -28 19 1 26 0
228 | -4 -27 19 9 -15 0
229 | 13 -20 26 6 0
230 | -27 -30 -16 -20 15 0
231 | 26 7 27 2 22 0
232 | 15 9 26 11 0
233 | 19 23 10 14 -8 0
234 | 5 8 3 26 0
235 | -18 -29 -10 0
236 | 5 22 -1 -7 0
237 | -27 11 -9 -7 -26 0
238 | -6 -1 -16 0
239 | 29 13 18 25 -15 0
240 | -28 2 3 25 -24 0
241 | -20 -12 -13 18 -21 0
242 | -21 -24 11 29 -9 0
243 | 1 -28 4 8 7 0
244 | 21 19 -14 5 26 0
245 | 9 -20 -22 16 0
246 | -7 29 -24 -18 22 0
247 | -17 -13 -5 -26 0
248 | 5 -25 -19 10 -3 0
249 | 25 -1 -17 -2 -26 0
250 | -18 -10 -2 25 -4 0
251 | -9 12 7 17 0
252 | 6 -15 -1 30 0
253 | 30 -23 -3 9 0
254 | 27 19 -4 6 21 0
255 | -15 4 -23 -2 0
256 | -4 17 -1 -8 19 0
257 | 1 23 2 20 6 0
258 | 22 -2 21 27 14 0
259 | -2 9 4 12 0
260 | 19 -12 13 4 0
261 | 17 -16 3 -30 5 0
262 | -9 -7 6 11 -1 0
263 | -14 -5 -13 19 -4 0
264 | -23 -10 11 -16 5 0
265 | 7 28 -24 22 -23 0
266 | 9 23 -19 18 0
267 | -20 26 2 -1 0
268 | 11 8 30 -26 -7 0
269 | 19 6 -21 28 0
270 | 3 6 -22 12 -2 0
271 | -11 9 13 8 16 0
272 | -23 21 2 -16 24 0
273 | 22 -15 26 24 -8 0
274 | -25 4 24 6 -18 0
275 | -28 22 30 -5 -26 0
276 | -2 -24 8 16 18 0
277 | -9 -15 23 -5 0
278 | -29 14 -10 0
279 | 27 7 11 -2 17 0
280 | -8 9 27 6 -11 0
281 | 29 5 -16 -1 0
282 | 26 -17 3 -2 30 0
283 | 11 30 -28 -21 0
284 | 4 21 -13 2 17 0
285 | -10 -1 25 -6 11 0
286 | -2 16 -14 -6 13 0
287 | -24 -18 -6 -19 -29 0
288 | 17 -11 -24 -18 0
289 | 18 -12 -11 20 -17 0
290 | 18 -3 8 23 -13 0
291 | -30 -13 17 23 16 0
292 | -12 18 1 9 0
293 | 3 1 -12 8 -22 0
294 | -25 16 -3 -17 28 0
295 | -9 28 -8 -12 0
296 | -5 27 -15 -16 0
297 | -27 17 -19 25 28 0
298 | -17 12 -9 -5 -26 0
299 | 8 5 -27 16 2 0
300 | -7 17 -11 -23 -30 0
301 | 14 30 -7 -25 15 0
302 | 21 19 -26 30 -6 0
303 | 18 14 10 -8 -17 0
304 | -16 29 10 -20 0
305 | -19 -23 -29 7 0
306 | 15 21 12 -17 0
307 | -28 -29 1 18 16 0
308 | 4 16 10 13 -14 0
309 | 25 20 -12 -11 23 0
310 | -20 -2 26 13 19 0
311 | 19 10 -9 30 -25 0
312 | 5 -24 3 12 0
313 | -27 3 24 0
314 | 20 -6 29 3 0
315 | -3 21 -14 28 22 0
316 | 25 -8 -15 -12 17 0
317 | 16 -20 18 5 -17 0
318 | -7 30 26 -5 -25 0
319 | 17 2 19 -13 0
320 | 17 26 -30 21 -12 0
321 | -20 14 -22 19 0
322 | 9 -3 -4 -28 -16 0
323 | -27 12 -10 -4 -25 0
324 | 5 26 19 -16 -23 0
325 | 6 -21 10 -22 24 0
326 | -9 -28 -8 -3 -30 0
327 | -14 -3 24 -12 -2 0
328 | -2 -27 28 -12 -5 0
329 | 17 1 21 -6 5 0
330 | 14 -18 28 -4 -3 0
331 | -28 15 -14 -10 -17 0
332 | 13 15 -11 8 2 0
333 | -1 21 -19 -30 0
334 | 6 -8 13 -11 -18 0
335 | 22 4 30 -20 26 0
336 | 3 -9 -16 10 -23 0
337 | 6 -4 10 -25 -27 0
338 | 3 6 17 12 -25 0
339 | 12 7 23 26 0
340 | 27 -25 11 22 -18 0
341 | -17 20 -11 7 0
342 | 20 -5 15 -2 0
343 | 24 -26 -9 0
344 | -13 -24 -7 -10 0
345 | 29 -30 -5 20 -22 0
346 | 4 19 12 -1 -25 0
347 | 11 7 19 -22 -24 0
348 | 6 19 -14 28 0
349 | 10 -28 -15 25 -18 0
350 | 19 -15 26 -21 25 0
351 | 1 -9 12 -29 27 0
352 | 2 -25 21 -7 27 0
353 | -8 12 -6 17 9 0
354 | -2 9 -27 -20 0
355 | -1 7 -10 -22 11 0
356 | 5 23 -8 7 -13 0
357 | -14 24 -13 25 3 0
358 | 1 10 -30 -26 15 0
359 | -8 -25 -4 -15 0
360 | 25 30 27 21 19 0
361 | -1 -12 -2 13 -10 0
362 | 16 7 -1 15 0
363 | 20 9 -14 -11 -24 0
364 | 5 2 16 1 28 0
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366 | -15 -24 -5 14 -13 0
367 | 21 20 -22 18 11 0
368 | -12 -20 -30 3 -17 0
369 | 7 -13 -28 -21 -25 0
370 | -11 -30 -18 -16 -6 0
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372 | 27 18 -2 -5 -26 0
373 | 1 16 20 22 30 0
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380 | -14 -22 6 -30 -17 0
381 | -23 -1 -13 -5 0
382 | 18 -7 20 30 -5 0
383 | 16 3 -24 -4 -7 0
384 | -24 28 -7 -29 -5 0
385 | -28 26 -13 19 0
386 | -7 11 -27 29 18 0
387 | -18 -23 27 14 28 0
388 | 24 -28 21 14 18 0
389 | 20 -7 23 10 0
390 | -12 -22 21 -23 0
391 | 2 -13 7 -12 0
392 | 9 -20 -18 29 16 0
393 | -20 -26 -5 -21 16 0
394 | -24 -28 22 -12 0
395 | -20 9 -14 21 15 0
396 | -21 -9 -18 -30 0
397 | 9 -4 -1 7 0
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399 | 14 27 -25 -29 10 0
400 | -12 -28 22 -5 0
401 | -26 -6 -10 5 11 0
402 | 2 -14 -10 13 25 0
403 | -23 -27 -30 -29 10 0
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405 | 11 3 -30 14 -19 0
406 | 6 27 10 -1 25 0
407 | -2 19 -16 18 27 0
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410 | 6 21 -10 -22 0
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415 | 26 -13 -3 28 0
416 | 1 23 -6 -21 30 0
417 | -19 -14 30 -29 0
418 | -20 -6 8 -17 29 0
419 | 28 -21 6 14 12 0
420 | 24 9 2 -3 0
421 | 11 21 6 -26 0
422 | 


--------------------------------------------------------------------------------
/problems/problem11-100.cnf:
--------------------------------------------------------------------------------
  1 | c
  2 | p cnf 100 600
  3 | 27 43 -75 0
  4 | 25 27 -43 0
  5 | 25 -27 -43 0
  6 | 84 89 97 0
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266 | -58 61 100 0
267 | 62 -90 99 0
268 | 62 -90 100 0
269 | -13 -90 91 0
270 | -13 -90 100 0
271 | 7 49 62 0
272 | -49 62 75 0
273 | 7 62 -77 0
274 | -7 62 95 0
275 | 57 62 -95 0
276 | -57 62 -95 0
277 | -42 45 61 0
278 | -42 -45 75 0
279 | 3 61 84 0
280 | -3 38 -60 0
281 | 33 -38 -60 0
282 | 1 45 93 0
283 | 55 -93 -94 0
284 | 1 -55 -94 0
285 | 1 15 -100 0
286 | 15 -99 -100 0
287 | -15 18 81 0
288 | -15 18 -100 0
289 | 1 -18 -100 0
290 | -1 16 -94 0
291 | -11 90 91 0
292 | 16 -91 -100 0
293 | -16 17 89 0
294 | 14 -16 17 0
295 | -17 90 -94 0
296 | -14 -16 90 0
297 | -90 -94 -100 0
298 | -3 21 44 0
299 | -3 21 62 0
300 | 10 41 92 0
301 | -41 92 100 0
302 | 10 92 -100 0
303 | 7 92 -100 0
304 | -7 -38 60 0
305 | -21 31 56 0
306 | -21 -55 -56 0
307 | 45 59 86 0
308 | 58 -59 86 0
309 | 16 -55 -58 0
310 | -16 25 -55 0
311 | -25 -55 86 0
312 | -31 -55 -86 0
313 | -14 -31 45 0
314 | -21 -45 -55 0
315 | 47 -48 53 0
316 | 47 -48 -53 0
317 | -48 50 -75 0
318 | -47 -75 -100 0
319 | -3 4 94 0
320 | -21 48 50 0
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322 | -69 74 94 0
323 | -41 74 -92 0
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325 | -66 75 94 0
326 | -74 -75 -92 0
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328 | 5 -29 48 0
329 | 15 30 60 0
330 | -5 15 -56 0
331 | -15 48 -56 0
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333 | 23 56 -68 0
334 | -23 -50 56 0
335 | -50 56 -68 0
336 | 50 54 56 0
337 | -54 -68 91 0
338 | -68 70 -91 0
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340 | 49 -50 82 0
341 | 12 -47 49 0
342 | -49 -54 -68 0
343 | 36 45 -54 0
344 | -12 36 -45 0
345 | -36 -54 -68 0
346 | 44 -77 -92 0
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348 | 28 47 77 0
349 | 28 -47 48 0
350 | 18 30 -38 0
351 | -18 30 -38 0
352 | 30 46 65 0
353 | -28 30 -65 0
354 | -28 77 98 0
355 | -28 -46 -98 0
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359 | 26 30 48 0
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362 | -30 -59 -99 0
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372 | -30 -51 90 0
373 | -30 -59 -84 0
374 | -59 -84 -90 0
375 | 38 44 46 0
376 | 16 38 68 0
377 | 38 43 -44 0
378 | -44 46 68 0
379 | 5 68 79 0
380 | -5 68 79 0
381 | -5 68 -85 0
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383 | -4 38 68 0
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386 | 14 16 69 0
387 | 69 71 -95 0
388 | 16 -71 -95 0
389 | 16 -31 -71 0
390 | 38 -78 93 0
391 | -38 -78 93 0
392 | -26 29 -30 0
393 | -13 -26 88 0
394 | -13 -26 -30 0
395 | -14 -26 -29 0
396 | -38 72 78 0
397 | -14 72 83 0
398 | -38 72 -83 0
399 | -32 -72 -93 0
400 | -32 -56 95 0
401 | -32 81 -95 0
402 | -32 -72 -81 0
403 | -2 -32 -81 0
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405 | 45 -78 -93 0
406 | -39 -78 92 0
407 | 45 -78 -92 0
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410 | 3 -20 26 0
411 | -3 -20 -49 0
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413 | -4 64 -72 0
414 | 6 45 -63 0
415 | 6 -63 -72 0
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420 | -12 20 22 0
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427 | -22 23 94 0
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429 | 3 -22 -50 0
430 | 3 6 -23 0
431 | -3 6 -23 0
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440 | -27 34 48 0
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450 | -57 63 65 0
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453 | -36 -86 99 0
454 | -36 -44 -86 0
455 | -19 21 65 0
456 | -21 40 65 0
457 | -40 -59 65 0
458 | -20 -40 65 0
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460 | -26 -34 50 0
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466 | -5 13 27 0
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471 | 13 37 -70 0
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483 | -1 -81 85 0
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485 | -5 -41 74 0
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493 | 22 41 -68 0
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495 | -5 70 74 0
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500 | -8 41 -75 0
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502 | 9 -24 -52 0
503 | -8 -9 -52 0
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505 | -8 19 -72 0
506 | -8 -19 -72 0
507 | -8 -53 -87 0
508 | -2 8 -65 0
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510 | 8 37 -65 0
511 | 35 41 53 0
512 | 29 94 97 0
513 | 29 -94 97 0
514 | 5 53 93 0
515 | 53 93 -97 0
516 | 29 -35 -93 0
517 | -29 53 99 0
518 | -29 -35 53 0
519 | 2 29 35 0
520 | 2 -16 29 0
521 | 2 29 -53 0
522 | 1 9 23 0
523 | 9 -23 -37 0
524 | 1 4 19 0
525 | 1 -19 98 0
526 | 4 -19 -98 0
527 | -4 -9 -37 0
528 | 12 -36 58 0
529 | -36 -37 -58 0
530 | -36 43 96 0
531 | 5 -43 96 0
532 | -12 -36 96 0
533 | -12 -68 96 0
534 | -12 -36 -96 0
535 | -37 -39 82 0
536 | -39 64 78 0
537 | -24 78 87 0
538 | -39 -78 87 0
539 | -39 40 -64 0
540 | 7 -63 -64 0
541 | -63 -64 77 0
542 | -7 -63 -64 0
543 | -36 -39 -40 0
544 | -37 -39 -87 0
545 | 8 52 73 0
546 | 8 14 -73 0
547 | 8 14 -52 0
548 | -14 19 -88 0
549 | 8 -14 -88 0
550 | -7 16 42 0
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552 | 42 60 -81 0
553 | -7 -42 60 0
554 | 3 19 -60 0
555 | 3 -37 -60 0
556 | -3 -7 68 0
557 | -7 -37 -68 0
558 | -1 7 -91 0
559 | 8 90 -91 0
560 | -1 8 -90 0
561 | -22 74 -91 0
562 | 8 15 -91 0
563 | -7 -15 -91 0
564 | -11 17 0
565 | -25 -61 74 0
566 | -79 81 -83 0
567 | -14 80 91 0
568 | 36 -45 -71 0
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570 | 15 37 -98 0
571 | 5 26 67 0
572 | 33 -65 -71 0
573 | 59 -71 84 0
574 | -6 36 -85 0
575 | 44 80 84 0
576 | -17 37 -98 0
577 | -57 -83 90 0
578 | 17 -54 -61 0
579 | 12 25 42 0
580 | 17 -17 -61 0
581 | -6 25 67 0
582 | 55 -71 -86 0
583 | -24 -51 -96 0
584 | -24 80 -86 0
585 | 7 27 55 0
586 | -53 55 -83 0
587 | -6 7 36 0
588 | -51 -54 -64 0
589 | 36 37 96 0
590 | 11 67 92 0
591 | -6 80 0
592 | -11 -24 81 0
593 | -6 36 -57 0
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595 | 17 21 -24 0
596 | 17 37 -65 0
597 | 7 -57 91 0
598 | -17 67 -96 0
599 | 17 -17 80 0
600 | -6 36 -98 0
601 | 81 -96 0
602 | -71 -98 0


--------------------------------------------------------------------------------
/problems/7cnf20_90000_90000_7.shuffled-20.cnf:
--------------------------------------------------------------------------------
   1 | p cnf 20 1532
   2 | -9 5 -18 -6 7 16 -8 0
   3 | -1 -12 -10 2 14 -13 -11 0
   4 | 20 16 8 -14 6 -1 -11 0
   5 | 20 10 1 8 18 7 -2 0
   6 | -19 -18 9 17 5 8 -13 0
   7 | -12 8 -1 6 -10 -19 -13 0
   8 | -16 -14 1 -2 12 -10 20 0
   9 | 19 -17 -1 -3 -7 14 -6 0
  10 | -19 -16 -8 -13 -7 -17 2 0
  11 | 3 16 -9 -10 -11 -14 20 0
  12 | -8 4 -14 -7 -18 10 -3 0
  13 | -3 2 9 -16 -18 -20 4 0
  14 | 1 -6 20 17 10 12 -19 0
  15 | -20 4 -6 -18 9 -7 17 0
  16 | 14 -15 7 5 -11 -10 16 0
  17 | 20 12 14 3 -18 6 11 0
  18 | 11 -10 2 5 -15 -9 7 0
  19 | -12 -1 13 -19 -2 -4 -16 0
  20 | 17 -15 -19 -4 10 9 -13 0
  21 | 11 -1 15 2 8 19 13 0
  22 | 8 6 10 11 -5 -4 16 0
  23 | 12 -10 -5 8 15 -18 -19 0
  24 | -9 -20 17 11 -7 -16 14 0
  25 | 20 -14 -6 -18 12 -17 -3 0
  26 | -7 -9 -2 14 12 -10 -15 0
  27 | 1 19 -16 -2 -4 5 -11 0
  28 | 2 16 7 1 -8 -19 6 0
  29 | -2 1 17 11 20 8 7 0
  30 | -1 -9 14 7 3 18 19 0
  31 | -18 19 -20 3 -4 -17 11 0
  32 | -4 2 -1 -15 5 -10 -17 0
  33 | 12 -16 -2 -1 -9 -7 4 0
  34 | 1 12 -20 18 -7 9 17 0
  35 | 9 5 -11 -13 4 10 -6 0
  36 | -13 -1 11 7 16 -12 6 0
  37 | 14 -15 -16 -3 -8 -9 -4 0
  38 | -19 2 -1 15 13 18 -7 0
  39 | -12 -16 10 -18 -13 7 -8 0
  40 | 8 11 -6 -13 -3 -10 5 0
  41 | -6 7 9 12 3 4 2 0
  42 | -7 16 6 19 -9 -1 20 0
  43 | -1 -2 -20 -12 -7 3 -11 0
  44 | 9 6 -15 -18 1 -5 -12 0
  45 | -3 14 -2 -12 -5 -8 -10 0
  46 | -5 -6 7 14 -11 -1 -3 0
  47 | 6 2 -12 19 -20 7 1 0
  48 | 18 17 -6 -15 12 -3 -8 0
  49 | 3 -1 9 2 -10 -6 -20 0
  50 | 17 12 -14 -13 -15 19 2 0
  51 | -3 -1 -14 -8 -20 -13 5 0
  52 | -2 11 13 17 -15 -12 -19 0
  53 | 15 -1 -16 4 9 -7 8 0
  54 | 15 16 18 8 -13 -9 -12 0
  55 | 20 -2 18 -9 10 5 7 0
  56 | 9 -17 1 19 18 -4 15 0
  57 | 20 3 10 13 -2 16 -19 0
  58 | -1 -6 -18 14 -11 2 -4 0
  59 | -6 -9 18 4 -17 14 -19 0
  60 | -9 -17 5 14 8 11 16 0
  61 | -7 10 -1 13 15 -9 3 0
  62 | -16 17 20 8 -1 12 -18 0
  63 | 3 5 -8 -12 -20 -9 6 0
  64 | -10 16 -6 15 11 -12 13 0
  65 | -13 3 16 20 -12 8 -18 0
  66 | -20 -6 13 -7 -19 -8 -18 0
  67 | 9 5 7 -3 -17 -15 -16 0
  68 | 20 -16 -2 11 -1 12 4 0
  69 | -17 5 20 -4 10 18 9 0
  70 | 11 -1 4 18 19 7 -13 0
  71 | 5 -16 -14 7 1 -13 -2 0
  72 | 13 1 10 18 8 20 -4 0
  73 | -15 -16 -18 -1 -17 -13 -14 0
  74 | -14 -18 -6 2 -19 1 -11 0
  75 | 8 -15 18 11 -12 9 5 0
  76 | 3 10 11 -19 -8 -16 6 0
  77 | -8 4 1 13 2 20 15 0
  78 | -20 12 7 13 -11 -2 -9 0
  79 | -4 -13 17 -11 -9 -16 10 0
  80 | -7 -1 14 -6 -16 12 8 0
  81 | 3 17 19 14 13 -4 6 0
  82 | 16 -14 3 -11 -5 -1 -17 0
  83 | -9 1 -11 -8 3 -10 14 0
  84 | 8 17 -1 9 -20 10 -14 0
  85 | -14 -16 -9 1 8 19 15 0
  86 | -8 13 10 17 -19 -16 -5 0
  87 | -16 9 -5 -17 -18 -20 2 0
  88 | -8 2 -4 19 -6 3 18 0
  89 | -3 -5 15 9 -8 -17 -10 0
  90 | -5 -16 11 17 -12 -14 8 0
  91 | 14 13 9 12 4 -11 -18 0
  92 | 1 8 -17 12 -3 5 -16 0
  93 | 11 9 6 -8 5 10 3 0
  94 | 20 -4 -1 7 9 -3 -2 0
  95 | -18 -9 16 17 -2 14 20 0
  96 | 12 -8 -13 1 -11 14 7 0
  97 | -19 -4 -9 3 -20 -10 11 0
  98 | -7 -8 -10 -2 -5 -11 -6 0
  99 | 17 11 -12 -2 8 15 18 0
 100 | -1 13 12 -17 -9 -8 -11 0
 101 | -9 -6 14 -10 20 -13 3 0
 102 | -12 8 -15 13 17 19 9 0
 103 | 12 -11 -9 17 13 19 3 0
 104 | -2 -6 18 5 4 -14 -20 0
 105 | 8 -7 12 -4 -13 -15 2 0
 106 | -17 -10 9 16 18 7 6 0
 107 | 17 -15 -19 -1 -10 5 -4 0
 108 | 12 17 -9 18 -11 8 20 0
 109 | -8 -15 3 6 -16 -14 7 0
 110 | -6 -13 3 9 10 19 2 0
 111 | -14 1 -2 -11 -16 12 -19 0
 112 | 5 16 17 -20 -6 -4 2 0
 113 | 20 -5 6 -4 18 -12 13 0
 114 | -7 -2 -6 -4 -5 -8 -13 0
 115 | -14 19 -12 2 6 16 10 0
 116 | 7 -2 11 -12 17 8 -14 0
 117 | 4 -19 -9 -6 -3 -2 11 0
 118 | -4 17 -6 16 -12 7 13 0
 119 | -8 -15 -14 19 -3 -9 -18 0
 120 | -15 -10 17 19 -3 9 -18 0
 121 | -5 3 14 17 1 8 11 0
 122 | -8 6 -1 -9 -16 -2 14 0
 123 | 14 -20 -18 8 -9 2 7 0
 124 | 3 -17 -15 -9 -8 -2 -20 0
 125 | -20 9 -11 -12 -6 -3 19 0
 126 | 15 -11 -4 -6 13 -19 18 0
 127 | 20 3 1 14 -5 10 -7 0
 128 | 15 19 5 -11 9 -4 -7 0
 129 | 17 -18 3 -12 10 20 1 0
 130 | 14 1 -18 -16 9 -4 -15 0
 131 | -20 19 1 -5 -7 -10 4 0
 132 | 12 -18 -13 9 20 15 11 0
 133 | -2 6 4 10 -1 19 7 0
 134 | -5 -1 -10 -20 2 -3 -14 0
 135 | -19 2 -20 13 3 -11 15 0
 136 | 18 -7 5 -20 14 -4 8 0
 137 | 14 9 3 20 5 -12 19 0
 138 | 14 -2 13 -10 -6 -18 17 0
 139 | -16 2 -5 4 -13 14 15 0
 140 | -16 4 17 19 -5 -15 1 0
 141 | -15 20 -12 -19 -10 13 18 0
 142 | 8 3 11 -7 19 -16 12 0
 143 | -10 16 -1 -5 8 4 -14 0
 144 | 4 -18 -15 20 -1 3 -9 0
 145 | -10 -5 -13 7 -4 19 -12 0
 146 | 11 6 -5 3 -18 15 12 0
 147 | -8 -4 19 -10 15 12 -7 0
 148 | -19 -11 -15 -10 17 2 16 0
 149 | -2 -17 14 3 -20 -9 -19 0
 150 | -15 19 1 6 -18 -5 -17 0
 151 | 15 18 -4 -19 7 13 -3 0
 152 | 9 -14 5 -4 18 20 16 0
 153 | -5 -14 -2 -18 -7 -12 -16 0
 154 | 12 1 7 -19 18 -8 5 0
 155 | 15 -7 -8 -2 -19 -20 16 0
 156 | -20 -8 16 19 -17 -15 -10 0
 157 | -6 -4 -3 -13 -19 -9 -8 0
 158 | -7 1 -16 9 -11 19 -14 0
 159 | 14 13 12 -16 -10 18 -6 0
 160 | 3 -7 6 -14 18 19 5 0
 161 | 13 -18 5 -12 -17 -9 15 0
 162 | 14 12 6 -8 18 1 7 0
 163 | -8 -9 2 -7 -1 -18 -5 0
 164 | 14 -19 15 -20 1 -4 18 0
 165 | 11 16 -5 9 -3 -10 -12 0
 166 | -2 11 13 -10 -20 -7 4 0
 167 | -18 2 -14 9 -11 12 19 0
 168 | 8 -11 -7 4 -15 -2 9 0
 169 | -14 13 -12 4 -18 -17 -10 0
 170 | -9 13 -17 -1 18 3 8 0
 171 | -7 18 17 3 -20 14 2 0
 172 | 19 -8 11 2 18 -16 14 0
 173 | 16 -12 -17 -10 -13 -20 6 0
 174 | 4 14 -18 10 -9 -2 -15 0
 175 | 18 -7 10 -13 -14 -6 4 0
 176 | 5 -15 12 -18 17 9 -6 0
 177 | 13 11 -3 -6 15 -12 -7 0
 178 | -5 6 20 1 -14 -16 -12 0
 179 | -18 -14 -3 -1 -16 8 -9 0
 180 | 3 20 -13 7 -18 -4 -12 0
 181 | 6 -7 -13 3 10 11 -5 0
 182 | 8 13 12 -15 -11 -4 20 0
 183 | 9 11 -4 10 -17 -18 16 0
 184 | -10 8 -1 16 14 17 -5 0
 185 | -9 -17 -16 8 13 14 12 0
 186 | 3 -11 18 -13 -10 14 -8 0
 187 | -2 9 -5 15 -12 -18 16 0
 188 | -13 2 17 1 -19 18 -16 0
 189 | 7 13 -10 -11 17 -20 4 0
 190 | -10 -4 -14 -15 12 9 -18 0
 191 | 16 -8 3 -7 -18 -11 -9 0
 192 | 12 -6 -19 7 -9 2 -16 0
 193 | -8 17 19 -7 -16 -11 20 0
 194 | -6 19 -7 20 16 -14 12 0
 195 | -5 13 -6 -15 -8 1 -12 0
 196 | -12 -4 -3 -1 19 -15 -14 0
 197 | 18 1 8 19 13 5 -7 0
 198 | 10 2 12 -6 4 19 15 0
 199 | -18 -6 12 -15 -1 3 10 0
 200 | 4 -3 -12 -6 19 5 -13 0
 201 | 5 -20 11 14 -19 -4 8 0
 202 | 14 -4 -10 20 5 16 3 0
 203 | -14 9 16 11 -20 2 5 0
 204 | -2 -16 8 6 -10 3 1 0
 205 | -6 8 14 -11 2 13 7 0
 206 | 19 -13 -12 8 7 1 15 0
 207 | -1 12 -8 -18 -16 17 4 0
 208 | 3 -4 -10 -19 15 -6 8 0
 209 | 9 -5 12 8 2 -11 -1 0
 210 | 20 -13 11 19 -17 -1 6 0
 211 | -2 17 6 1 10 -3 12 0
 212 | 14 15 2 -18 -1 -3 -4 0
 213 | -4 -10 8 -9 12 5 20 0
 214 | -19 -3 8 -7 -1 -20 -12 0
 215 | -2 -11 -5 -8 14 -20 -4 0
 216 | -3 -13 -8 -5 -17 15 -6 0
 217 | -14 -19 2 3 -1 -8 -11 0
 218 | 8 -2 16 -9 3 -11 -17 0
 219 | -17 -20 -15 -9 -7 -1 -4 0
 220 | 9 -7 -20 14 18 -10 -4 0
 221 | -13 -6 -19 14 11 -17 15 0
 222 | -6 16 5 -18 -12 -11 3 0
 223 | -18 5 -15 4 1 -11 -10 0
 224 | -14 -1 13 -8 10 2 16 0
 225 | -19 -16 7 -9 10 -11 3 0
 226 | 3 10 -9 18 1 19 -12 0
 227 | -4 7 5 -15 8 14 -6 0
 228 | 7 14 19 8 -15 16 -11 0
 229 | -14 -12 -4 10 13 -3 5 0
 230 | -1 14 -9 8 4 5 7 0
 231 | -4 -3 -10 -7 -12 9 -18 0
 232 | 1 8 -2 -5 -19 15 10 0
 233 | 7 14 -4 -5 -3 9 -2 0
 234 | -3 10 19 9 -15 -14 12 0
 235 | 5 -17 -16 4 -8 19 13 0
 236 | -3 -4 -15 -9 12 -1 6 0
 237 | -4 18 15 16 3 20 2 0
 238 | 10 -1 19 -7 -8 -6 17 0
 239 | -18 -19 -3 14 17 11 15 0
 240 | -1 -14 12 -19 -18 5 -7 0
 241 | -5 11 8 -13 -6 -17 -9 0
 242 | 3 17 -20 2 5 9 -7 0
 243 | 20 1 -13 -19 10 4 18 0
 244 | 11 18 -20 -4 -9 -16 3 0
 245 | 1 -12 -7 10 -9 -17 18 0
 246 | 18 8 3 -5 -17 11 1 0
 247 | -3 -13 -12 7 -8 1 9 0
 248 | 4 12 -2 15 -14 11 17 0
 249 | -2 18 -8 15 -4 -20 13 0
 250 | 19 -4 -15 18 -20 2 -16 0
 251 | 15 20 12 -4 -11 -10 13 0
 252 | -1 -14 -2 6 -4 -11 19 0
 253 | -18 1 6 9 2 -5 -17 0
 254 | -14 -10 2 -12 3 -17 -20 0
 255 | 17 -1 -8 -19 10 4 -11 0
 256 | 1 -17 -2 -20 7 6 8 0
 257 | 7 -1 14 20 -6 -5 4 0
 258 | -3 7 18 -17 -16 10 -5 0
 259 | -7 -2 19 -14 3 -4 -10 0
 260 | 1 -11 -10 -2 19 -3 -8 0
 261 | 20 15 -8 18 -13 -6 2 0
 262 | 16 -14 1 13 5 4 -18 0
 263 | -16 -9 -6 5 1 14 -2 0
 264 | -9 18 16 -14 5 10 4 0
 265 | 2 10 -3 -6 17 -14 -15 0
 266 | -7 11 19 9 -5 -12 20 0
 267 | -13 17 1 7 5 19 2 0
 268 | 12 -13 10 18 -15 -6 -5 0
 269 | -15 2 14 -7 -12 5 16 0
 270 | 18 10 -14 6 1 -2 -11 0
 271 | -19 14 -18 8 10 -4 -15 0
 272 | -10 13 1 -15 -16 -5 17 0
 273 | 19 9 -17 -8 1 5 13 0
 274 | 14 -2 12 -8 -3 -13 -9 0
 275 | -2 13 -20 15 9 -17 -18 0
 276 | 8 -18 -13 -5 4 9 6 0
 277 | 8 -9 -18 -7 -19 3 12 0
 278 | -14 -10 -6 -15 16 11 17 0
 279 | -15 -13 -3 19 -6 -1 4 0
 280 | 13 -1 -12 7 -18 15 -5 0
 281 | -17 -16 5 7 13 19 18 0
 282 | -12 8 -20 -13 10 18 -4 0
 283 | 3 17 -8 -10 7 -12 4 0
 284 | 18 19 -15 9 -12 8 -2 0
 285 | -6 -16 11 -13 15 14 -12 0
 286 | 16 17 7 13 12 9 10 0
 287 | 4 -14 -5 18 20 16 6 0
 288 | -11 5 17 18 10 1 -3 0
 289 | 17 13 19 18 -1 4 9 0
 290 | -3 -4 8 -11 14 -1 -10 0
 291 | 18 20 7 -2 -3 -15 4 0
 292 | 20 6 -16 8 17 -18 -2 0
 293 | 16 -2 -13 -7 6 -20 8 0
 294 | -7 16 -20 -5 11 -13 6 0
 295 | -7 15 -19 14 -20 16 1 0
 296 | -1 -6 20 -14 -5 11 9 0
 297 | 16 -12 7 5 -14 -19 10 0
 298 | -19 12 18 2 -16 10 -8 0
 299 | 14 3 -1 10 -19 -7 8 0
 300 | 12 -14 16 5 -10 15 6 0
 301 | 7 3 5 2 -14 -6 8 0
 302 | -1 -19 20 15 -6 14 -9 0
 303 | -12 17 -10 13 14 -20 -5 0
 304 | -4 9 -5 18 11 -2 14 0
 305 | 1 6 -17 -3 15 -7 -5 0
 306 | -16 -8 12 -14 -2 1 -7 0
 307 | 7 -16 -19 -2 -6 -17 13 0
 308 | 2 12 8 -10 -13 -4 18 0
 309 | -19 -12 -18 10 -13 -4 -1 0
 310 | 13 -14 2 5 19 -7 -10 0
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1534 | 


--------------------------------------------------------------------------------
/problems/sud00009.cnf:
--------------------------------------------------------------------------------
   1 | c sudoku, order: 9, holes: 64
   2 | c 
   3 | c 6..3.2...
   4 | c .5.....1.
   5 | c .........
   6 | c 7.26.....
   7 | c .......54
   8 | c 3........
   9 | c .8.15....
  10 | c ....4.2..
  11 | c ......7..
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3154 | c end of file
3155 | 


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