#include <vector> #include <list> #include <map> #include <set> #include <queue> #include <stack> #include <bitset> #include <algorithm> #include <functional> #include <numeric> #include <utility> #include <sstream> #include <iomanip> #include <cstdio> #include <cmath> #include <cstdlib> #include <ctime> #include <iostream> #include <string> #define PB push_back #define ST first #define ND second using namespace std; using VI = vector<int>; using VVI = vector<VI>; using PII = pair<int, int>; using VII = vector<PII>; using LL = long long int; using ULL = unsigned long long int; const LL MOD = 1000000007LL; const int MAXN = 1000005; int n; LL pow2[MAXN]; LL res = 1; struct Clause { int x; vector<bool> val; }; vector<Clause> clauses; set<int> seen_literals; void ReadClause() { char c; map<int, bool> clause; while (true) { scanf("%c", &c); bool positive = true; if (c == ')') { break; } else if (c == ' ' || c == 'v') { continue; } else if (c == '~') { positive = false; scanf("%c", &c); } int x; scanf("%d", &x); clause[x] = positive; seen_literals.insert(x); } clauses.emplace_back(Clause()); clauses.back().x = clause.begin()->ST; clauses.back().val.reserve(clause.size()); for (const auto& p : clause) { clauses.back().val.push_back(p.ND); } } vector<int> rev_literals; void rec_solve(vector<bool>& values, LL& cnt) { if (values.size() == seen_literals.size()) { for (const auto& clause : clauses) { bool no_matches = true; for (int pos = clause.x; pos <= clause.x + clause.val.size() - 1; ++pos) { if (clause.val[pos - clause.x] == values[rev_literals[pos]]) { no_matches = false; break; } } if (no_matches) return; } cnt = (cnt + 1) % MOD; return; } values.PB(false); rec_solve(values, cnt); values[values.size() - 1] = true; rec_solve(values, cnt); values.pop_back(); } LL Solve() { LL cnt = 0; vector<bool> values; rec_solve(values, cnt); return cnt; } int main() { scanf("%d\n", &n); pow2[0] = 1; for (int i = 1; i <= n; ++i) { pow2[i] = (2 * pow2[i-1]) % MOD; } char c; while (scanf("%c", &c) != EOF) { if (c == '(') { ReadClause(); } } res = pow2[n - seen_literals.size()]; rev_literals.resize(n + 1); int p = 0; for (auto x : seen_literals) { rev_literals[x] = p; ++p; } res = (res * Solve()) % MOD; printf("%lld\n", res); 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 | #include <vector> #include <list> #include <map> #include <set> #include <queue> #include <stack> #include <bitset> #include <algorithm> #include <functional> #include <numeric> #include <utility> #include <sstream> #include <iomanip> #include <cstdio> #include <cmath> #include <cstdlib> #include <ctime> #include <iostream> #include <string> #define PB push_back #define ST first #define ND second using namespace std; using VI = vector<int>; using VVI = vector<VI>; using PII = pair<int, int>; using VII = vector<PII>; using LL = long long int; using ULL = unsigned long long int; const LL MOD = 1000000007LL; const int MAXN = 1000005; int n; LL pow2[MAXN]; LL res = 1; struct Clause { int x; vector<bool> val; }; vector<Clause> clauses; set<int> seen_literals; void ReadClause() { char c; map<int, bool> clause; while (true) { scanf("%c", &c); bool positive = true; if (c == ')') { break; } else if (c == ' ' || c == 'v') { continue; } else if (c == '~') { positive = false; scanf("%c", &c); } int x; scanf("%d", &x); clause[x] = positive; seen_literals.insert(x); } clauses.emplace_back(Clause()); clauses.back().x = clause.begin()->ST; clauses.back().val.reserve(clause.size()); for (const auto& p : clause) { clauses.back().val.push_back(p.ND); } } vector<int> rev_literals; void rec_solve(vector<bool>& values, LL& cnt) { if (values.size() == seen_literals.size()) { for (const auto& clause : clauses) { bool no_matches = true; for (int pos = clause.x; pos <= clause.x + clause.val.size() - 1; ++pos) { if (clause.val[pos - clause.x] == values[rev_literals[pos]]) { no_matches = false; break; } } if (no_matches) return; } cnt = (cnt + 1) % MOD; return; } values.PB(false); rec_solve(values, cnt); values[values.size() - 1] = true; rec_solve(values, cnt); values.pop_back(); } LL Solve() { LL cnt = 0; vector<bool> values; rec_solve(values, cnt); return cnt; } int main() { scanf("%d\n", &n); pow2[0] = 1; for (int i = 1; i <= n; ++i) { pow2[i] = (2 * pow2[i-1]) % MOD; } char c; while (scanf("%c", &c) != EOF) { if (c == '(') { ReadClause(); } } res = pow2[n - seen_literals.size()]; rev_literals.resize(n + 1); int p = 0; for (auto x : seen_literals) { rev_literals[x] = p; ++p; } res = (res * Solve()) % MOD; printf("%lld\n", res); return 0; } |