#include <iostream> #include <cstdio> #include <cstdlib> #include <vector> #include <stack> #include <queue> #include <algorithm> #include <cmath> #include <list> #include <map> #include <set> #include <string> #include <sstream> #include <bitset> using namespace std; typedef long long int LL; typedef long double LD; typedef vector<int> VI; typedef vector<LL> VLL; typedef vector<LD> VLD; typedef vector<string> VS; typedef pair<int, int> PII; typedef vector<PII> VPII; const int INF = 1000000001; const LD EPS = 10e-9; #define FOR(x, b, e) for(int x = b; x <= (e); ++x) #define FORD(x, b, e) for(int x = b; x >= (e); --x) #define REP(x, n) for(int x = 0; x < (n); ++x) #define VAR(v, n) __typeof(n) v = (n) #define ALL(c) (c).begin(), (c).end() #define SIZE(x) ((int)(x).size()) #define FORE(i, c) for(VAR(i, (c).begin()); i != (c).end(); ++i) #define MP make_pair #define PB push_back #define ST first #define ND second #define abs(a) ((a)<0 ? -(a) : (a)) #define max(a, b) ((a) > (b) ? (a) : (b)) #define min(a, b) ((a) < (b) ? (a) : (b)) struct Clause { // > 0 to normalne xi, < 0 znaczy zaprzeczenie xi vector<int> x; }; struct Formula { vector<Clause> clauses; }; int n, maxSet, countSets; string s; Formula formula; int toInt(const string& s) { istringstream iss(s); int num; iss >> num; return num; } void createClause(Clause& clause, int& idx) { while(idx < s.size() && s[idx] != ')') { if(s[idx] == ' ' || s[idx] == '(' || s[idx] == 'v') { idx++; continue; } bool orig = true; if(s[idx] == '~') { orig = false; idx++; } if(s[idx++] != 'x') { cout << "cos sie schrzanilo..." << endl; cout << "idx-1: " << idx-1 << ", s[idx-1]: " << s[idx-1] << endl; } string numberS; while(isdigit(s[idx])) { numberS.push_back(s[idx]); idx++; } int number = toInt(numberS); if(orig) { clause.x.push_back(number); } else { clause.x.push_back(-number); } } idx++; } void createFormula() { int idx = 0; while(idx < s.size()) { while(s[idx] != '(') { idx++; } formula.clauses.push_back(Clause()); createClause(*formula.clauses.rbegin(), idx); } } void printClause(const Clause& clause) { cout << "clause:" << endl; for(int x : clause.x) { if(x > 0) { cout << 'x' << x << ' '; } else { cout << "~x" << -x << ' '; } } cout << endl; cout << "----" << endl; } void printFormula() { for(const auto& clause : formula.clauses) { printClause(clause); } } bool getXValue(int xs, int x) { int absX = abs(x); bool res = xs&(1<<(absX-1)); res = x > 0 ? res : !res; //cout << "xs: " << xs << ", x:" << x << ", res: " << res << endl; return res; } bool evaluateClause(const Clause& clause, int xs) { for(int x : clause.x) { if(getXValue(xs, x)) { return true; } } return false; } bool evaluateFormula(int xs) { for(const auto& clause : formula.clauses) { if(!evaluateClause(clause, xs)) { return false; } } return true; } int main() { cin >> n; getchar(); getline(cin, s); //cout << n << endl; //cout << s << endl; maxSet = (1<<n) - 1; createFormula(); //printFormula(); for(int i = 0; i <= maxSet; ++i) { if(evaluateFormula(i)) { countSets++; //bitset<32> bs(i); //cout << "true dla xs = " << i << " (" << bs << ")" << endl; } //cout << "------" << endl; } cout << countSets << endl; return 0; }
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 | #include <iostream> #include <cstdio> #include <cstdlib> #include <vector> #include <stack> #include <queue> #include <algorithm> #include <cmath> #include <list> #include <map> #include <set> #include <string> #include <sstream> #include <bitset> using namespace std; typedef long long int LL; typedef long double LD; typedef vector<int> VI; typedef vector<LL> VLL; typedef vector<LD> VLD; typedef vector<string> VS; typedef pair<int, int> PII; typedef vector<PII> VPII; const int INF = 1000000001; const LD EPS = 10e-9; #define FOR(x, b, e) for(int x = b; x <= (e); ++x) #define FORD(x, b, e) for(int x = b; x >= (e); --x) #define REP(x, n) for(int x = 0; x < (n); ++x) #define VAR(v, n) __typeof(n) v = (n) #define ALL(c) (c).begin(), (c).end() #define SIZE(x) ((int)(x).size()) #define FORE(i, c) for(VAR(i, (c).begin()); i != (c).end(); ++i) #define MP make_pair #define PB push_back #define ST first #define ND second #define abs(a) ((a)<0 ? -(a) : (a)) #define max(a, b) ((a) > (b) ? (a) : (b)) #define min(a, b) ((a) < (b) ? (a) : (b)) struct Clause { // > 0 to normalne xi, < 0 znaczy zaprzeczenie xi vector<int> x; }; struct Formula { vector<Clause> clauses; }; int n, maxSet, countSets; string s; Formula formula; int toInt(const string& s) { istringstream iss(s); int num; iss >> num; return num; } void createClause(Clause& clause, int& idx) { while(idx < s.size() && s[idx] != ')') { if(s[idx] == ' ' || s[idx] == '(' || s[idx] == 'v') { idx++; continue; } bool orig = true; if(s[idx] == '~') { orig = false; idx++; } if(s[idx++] != 'x') { cout << "cos sie schrzanilo..." << endl; cout << "idx-1: " << idx-1 << ", s[idx-1]: " << s[idx-1] << endl; } string numberS; while(isdigit(s[idx])) { numberS.push_back(s[idx]); idx++; } int number = toInt(numberS); if(orig) { clause.x.push_back(number); } else { clause.x.push_back(-number); } } idx++; } void createFormula() { int idx = 0; while(idx < s.size()) { while(s[idx] != '(') { idx++; } formula.clauses.push_back(Clause()); createClause(*formula.clauses.rbegin(), idx); } } void printClause(const Clause& clause) { cout << "clause:" << endl; for(int x : clause.x) { if(x > 0) { cout << 'x' << x << ' '; } else { cout << "~x" << -x << ' '; } } cout << endl; cout << "----" << endl; } void printFormula() { for(const auto& clause : formula.clauses) { printClause(clause); } } bool getXValue(int xs, int x) { int absX = abs(x); bool res = xs&(1<<(absX-1)); res = x > 0 ? res : !res; //cout << "xs: " << xs << ", x:" << x << ", res: " << res << endl; return res; } bool evaluateClause(const Clause& clause, int xs) { for(int x : clause.x) { if(getXValue(xs, x)) { return true; } } return false; } bool evaluateFormula(int xs) { for(const auto& clause : formula.clauses) { if(!evaluateClause(clause, xs)) { return false; } } return true; } int main() { cin >> n; getchar(); getline(cin, s); //cout << n << endl; //cout << s << endl; maxSet = (1<<n) - 1; createFormula(); //printFormula(); for(int i = 0; i <= maxSet; ++i) { if(evaluateFormula(i)) { countSets++; //bitset<32> bs(i); //cout << "true dla xs = " << i << " (" << bs << ")" << endl; } //cout << "------" << endl; } cout << countSets << endl; return 0; } |