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上传时间: 2018-06-06
详细说明： /** * WishingBone's ACM/ICPC Routine Library * * maximum clique solver */ #include using std::vector; // clique solver calculates both size and consitution of maximum clique // uses bit operation to accelerate searching // graph size limit is 63, the graph should be undirected // can optimize to calculate on each component, and sort on vertex degrees // can be used to solve maximum independent set class clique { public: static const long long ONE = 1; static const long long MASK = (1 << 21) - 1; char* bits; int n, size, cmax[63]; long long mask[63], cons; // initiate lookup table clique() { bits = new char[1 << 21]; bits[0] = 0; for (int i = 1; i < 1 << 21; ++i) bits[i] = bits[i >> 1] + (i & 1); } ~clique() { delete bits; } // search routine bool search(int step, int size, long long more, long long con); // solve maximum clique and return size int sizeClique(vector >& mat); // solve maximum clique and return constitution vector consClique(vector >& mat); }; // search routine // step is node id, size is current solution, more is available mask, cons is constitution mask bool clique::search(int step, int size, long long more, long long cons) { if (step >= n) { // a new solution reached this->size = size; this->cons = cons; return true; } long long now = ONE << step; if ((now & more) > 0) { long long next = more & mask[step]; if (size + bits[next & MASK] + bits[(next >> 21) & MASK] + bits[next >> 42] >= this->size && size + cmax[step] > this->size) { // the current node is in the clique if (search(step + 1, size + 1, next, cons | now)) return true; } } long long next = more & ~now; if (size + bits[next & MASK] + bits[(next >> 21) & MASK] + bits[next >> 42] > this->size) { // the current node is not in the clique if (search(step + 1, size, next, cons)) return true; } return false; } // solve maximum clique and return size int clique::sizeClique(vector >& mat) { n = mat.size(); // generate mask vectors for (int i = 0; i < n; ++i) { mask[i] = 0; for (int j = 0; j < n; ++j) if (mat[i][j] > 0) mask[i] |= ONE << j; } size = 0; for (int i = n - 1; i >= 0; --i) { search(i + 1, 1, mask[i], ONE << i); cmax[i] = size; } return size; } // solve maximum clique and return constitution // calls sizeClique and restore cons vector clique::consClique(vector >& mat) { sizeClique(mat); vector ret; for (int i = 0; i < n; ++i) if ((cons & (ONE << i)) > 0) ret.push_back(i); return ret; } ...展开收缩
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