ADDED SRM/733-U/1A.cpp Index: SRM/733-U/1A.cpp ================================================================== --- SRM/733-U/1A.cpp +++ SRM/733-U/1A.cpp @@ -0,0 +1,123 @@ +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +using namespace std; +typedef long long LL; +typedef complex CMP; + +struct Rat { + LL s, b; // s/b + + Rat(LL s, LL b) : s(s), b(b) {} + + // take abs() too + Rat operator-(const Rat& rhs) { + LL a = s, c = rhs.s, d = rhs.b; + return Rat(abs(a*d - b*c), b*d); + } + + bool operator<(const Rat& rhs) { + unsigned long long a = s, c = rhs.s, d = rhs.b; + return a*d < b*c; + } +}; + +class MinimizeAbsoluteDifferenceDiv1 { public: + vector findTuple(vector x) + { + vector idx = { 0,1,2,3,4 }; + vector best; + Rat bestval(0, 0); + do { + Rat val = Rat(x[idx[0]], x[idx[1]]) - Rat(x[idx[2]], x[idx[3]]); + if (best.empty() || val < bestval) + best = idx, bestval = val; + } while (next_permutation(idx.begin(), idx.end())); + + best.resize(4); + return best; + } +}; + +// BEGIN CUT HERE +#include +double start_time; string timer() + { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); } +template ostream& operator<<(ostream& os, const vector& v) + { os << "{ "; + for(typename vector::const_iterator it=v.begin(); it!=v.end(); ++it) + os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; } +void verify_case(const vector & Expected, const vector & Received) { + bool ok = (Expected == Received); + if(ok) cerr << "PASSED" << timer() << endl; else { cerr << "FAILED" << timer() << endl; + cerr << "\to: " << Expected << endl << "\tx: " << Received << endl; } } +#define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock(); +#define END verify_case(_, MinimizeAbsoluteDifferenceDiv1().findTuple(x));} +int main(){ + +CASE(0) + int x_[] = {1,1,1,1,1}; + vector x(x_, x_+sizeof(x_)/sizeof(*x_)); + int __[] = {0, 1, 2, 3 }; + vector _(__, __+sizeof(__)/sizeof(*__)); +END +CASE(1) + int x_[] = {2,3,5,7,11}; + vector x(x_, x_+sizeof(x_)/sizeof(*x_)); + int __[] = {0, 3, 1, 4 }; + vector _(__, __+sizeof(__)/sizeof(*__)); +END +CASE(2) + int x_[] = {8, 2, 4, 2, 6}; + vector x(x_, x_+sizeof(x_)/sizeof(*x_)); + int __[] = {1, 0, 3, 4 }; + vector _(__, __+sizeof(__)/sizeof(*__)); +END +CASE(3) + int x_[] = {124, 182, 9, 33, 70}; + vector x(x_, x_+sizeof(x_)/sizeof(*x_)); + int __[] = {2, 4, 3, 1 }; + vector _(__, __+sizeof(__)/sizeof(*__)); +END +CASE(4) + int x_[] = {9947, 3, 7, 11, 13}; + vector x(x_, x_+sizeof(x_)/sizeof(*x_)); + int __[] = {1, 4, 3, 0 }; + vector _(__, __+sizeof(__)/sizeof(*__)); +END +CASE(5) + int x_[] = {10000, 4, 10, 4, 10}; + vector x(x_, x_+sizeof(x_)/sizeof(*x_)); + int __[] = {1, 2, 3, 4 }; + vector _(__, __+sizeof(__)/sizeof(*__)); +END +/* +CASE(6) + int x_[] = ; + vector x(x_, x_+sizeof(x_)/sizeof(*x_)); + int __[] = ; + vector _(__, __+sizeof(__)/sizeof(*__)); +END +CASE(7) + int x_[] = ; + vector x(x_, x_+sizeof(x_)/sizeof(*x_)); + int __[] = ; + vector _(__, __+sizeof(__)/sizeof(*__)); +END +*/ +} +// END CUT HERE ADDED SRM/733-U/1B.cpp Index: SRM/733-U/1B.cpp ================================================================== --- SRM/733-U/1B.cpp +++ SRM/733-U/1B.cpp @@ -0,0 +1,226 @@ +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +using namespace std; +typedef long long LL; +typedef complex CMP; + +struct UnionFind +{ + vector uf, sz; + int nc; + + UnionFind(int N) : uf(N), sz(N, 1), nc(N) + { + for (int i = 0; i= sz[b]) swap(a, b); + uf[a] = b; + sz[b] += sz[a]; + --nc; + } + return (a != b); + } +}; + +static const unsigned MODVAL = 987654323; +struct mint +{ + unsigned val; + mint() :val(0) {} + mint(int x) :val((x+MODVAL)%MODVAL) {} + mint(unsigned x) :val(x%MODVAL) {} + mint(LL x) :val((x+MODVAL)%MODVAL) {} +}; +mint& operator+=(mint& x, mint y) { return x = x.val + y.val; } +mint& operator-=(mint& x, mint y) { return x = x.val - y.val + MODVAL; } +mint& operator*=(mint& x, mint y) { return x = LL(x.val)*y.val; } +mint operator+(mint x, mint y) { return x += y; } +mint operator-(mint x, mint y) { return x -= y; } +mint operator*(mint x, mint y) { return x *= y; } + +mint POW(mint x, LL e) { mint v = 1; for (; e; x *= x, e >>= 1) if (e & 1) v *= x; return v; } +mint& operator/=(mint& x, mint y) { return x *= POW(y, MODVAL - 2); } +mint operator/(mint x, mint y) { return x /= y; } + +mint det(vector> M) +{ + const int n = M.size(); + mint ans = 1; + + for (int i=0; i x, vector y) + { + for (auto& xi : x) --xi; + for (auto& yi : y) --yi; + + UnionFind uf(n); + for (int i = 0; i < x.size(); ++i) + if (!uf.Union(x[i], y[i])) + return 0; + + vector w; + for (int v = 0; v < n; ++v) + if (uf.Find(v) == v) + w.push_back(uf.size(v)); + + // complete graph with |w| vertices, w[i]--w[j] has w[i]*w[j] multiple edges. + + const int N = w.size(); + vector> lap(N-1, vector(N-1)); + for (int v = 0; v < N - 1; ++v) + for (int u = 0; u < N - 1; ++u) + lap[v][u] = (v == u ? w[v] * (n - w[v]) : - w[v] * w[u]); + return det(lap).val; + } +}; + +// BEGIN CUT HERE +#include +double start_time; string timer() + { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); } +template ostream& operator<<(ostream& os, const vector& v) + { os << "{ "; + for(typename vector::const_iterator it=v.begin(); it!=v.end(); ++it) + os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; } +void verify_case(const int& Expected, const int& Received) { + bool ok = (Expected == Received); + if(ok) cerr << "PASSED" << timer() << endl; else { cerr << "FAILED" << timer() << endl; + cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } } +#define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock(); +#define END verify_case(_, BuildingSpanningTreesDiv1().getNumberOfSpanningTrees(n, x, y));} +int main(){ + +CASE(0) + int n = 3; + int x_[] = {1,2}; + vector x(x_, x_+sizeof(x_)/sizeof(*x_)); + int y_[] = {2,3}; + vector y(y_, y_+sizeof(y_)/sizeof(*y_)); + int _ = 1; +END +CASE(1) + int n = 5; + int x_[] = {1,3,4}; + vector x(x_, x_+sizeof(x_)/sizeof(*x_)); + int y_[] = {2,4,5}; + vector y(y_, y_+sizeof(y_)/sizeof(*y_)); + int _ = 6; +END +CASE(2) + int n = 4; + int x_[] = {1}; + vector x(x_, x_+sizeof(x_)/sizeof(*x_)); + int y_[] = {2}; + vector y(y_, y_+sizeof(y_)/sizeof(*y_)); + int _ = 8; +END +CASE(3) + int n = 4; + int x_[] = {1,2,1}; + vector x(x_, x_+sizeof(x_)/sizeof(*x_)); + int y_[] = {2,3,3}; + vector y(y_, y_+sizeof(y_)/sizeof(*y_)); + int _ = 0; +END +CASE(4) + int n = 8; + int x_[] = {1,4,2,3,5}; + vector x(x_, x_+sizeof(x_)/sizeof(*x_)); + int y_[] = {4,7,6,5,8}; + vector y(y_, y_+sizeof(y_)/sizeof(*y_)); + int _ = 144; +END +CASE(5) + int n = 1000; + int x_[] = {1}; + vector x(x_, x_+sizeof(x_)/sizeof(*x_)); + int y_[] = {2}; + vector y(y_, y_+sizeof(y_)/sizeof(*y_)); + int _ = 529013784; +END +/* +CASE(6) + int n = ; + int x_[] = ; + vector x(x_, x_+sizeof(x_)/sizeof(*x_)); + int y_[] = ; + vector y(y_, y_+sizeof(y_)/sizeof(*y_)); + int _ = ; +END +CASE(7) + int n = ; + int x_[] = ; + vector x(x_, x_+sizeof(x_)/sizeof(*x_)); + int y_[] = ; + vector y(y_, y_+sizeof(y_)/sizeof(*y_)); + int _ = ; +END +*/ +} +// END CUT HERE