#define _CRT_SECURE_NO_WARNINGS #define _USE_MATH_DEFINES #include #ifdef _MSC_VER #include #else #pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #endif /* const */ constexpr double PI = 3.141592653589793238462643; /* io */ namespace aux { template struct tp { static void print(std::ostream& os, const T& v) { os << std::get(v) << ", "; tp::print(os, v); } }; template struct tp { static void print(std::ostream& os, const T& v) { os << std::get(v); } }; } template std::ostream& operator<<(std::ostream& os, const std::tuple& t) { os << '['; aux::tp, 0, sizeof...(Ts) - 1>::print(os, t); os << ']'; return os; } template ::value, int> = 0> std::ostream& operator<<(std::ostream& os, T const& a); template std::ostream& operator<<(std::ostream& os, std::pair const& p) { return os << '[' << p.first << ", " << p.second << ']'; } template std::istream& operator>>(std::istream& is, std::pair& p) { return is >> p.first >> p.second; } template ::value, int>> std::ostream& operator<<(std::ostream& os, T const& a) { bool f = true; os << '['; for (auto const& x : a) { os << (f ? "" : ", ") << x; f = false; } os << ']'; return os; } template ::value, int> = 0> std::ostream& operator<<(std::ostream& os, const T(&a)[N]) { bool f = true; os << '['; for (auto const& x : a) { os << (f ? "" : ", ") << x; f = false; } os << ']'; return os; } template ())), class = typename std::enable_if::value>::type> std::istream& operator>>(std::istream& is, T& a) { for (auto& x : a) is >> x; return is; } struct IOSetup { IOSetup(bool f) { if (f) { std::cin.tie(nullptr); std::ios::sync_with_stdio(false); } std::cout << std::fixed << std::setprecision(15); } } iosetup(true); /* format */ template std::string format(const std::string& f, Ts... t) { size_t l = std::snprintf(nullptr, 0, f.c_str(), t...); std::vector b(l + 1); std::snprintf(&b[0], l + 1, f.c_str(), t...); return std::string(&b[0], &b[0] + l); } /* dump */ #define ENABLE_DUMP #ifdef ENABLE_DUMP #define DUMPOUT std::cerr std::ostringstream DUMPBUF; #define dump(...) do{DUMPBUF<<" ";DUMPBUF<<#__VA_ARGS__<<" :[DUMP - "<<__LINE__<<":"<<__FUNCTION__<<"]"< void dump_func(Head&& head, Tail&&... tail) { DUMPBUF << head; if (sizeof...(Tail) == 0) { DUMPBUF << " "; } else { DUMPBUF << ", "; } dump_func(std::move(tail)...); } #else #define dump(...) void(0); #endif /* misc */ struct Timer { double t = 0, paused = 0, tmp; Timer() { reset(); } static double time() { #ifdef _MSC_VER return __rdtsc() / 3.0e9; #else unsigned long long a, d; __asm__ volatile("rdtsc" : "=a"(a), "=d"(d)); return (d << 32 | a) / 3.0e9; #endif } void reset() { t = time(); } void pause() { tmp = time(); } void restart() { paused += time() - tmp; } double elapsedMs() { return (time() - t - paused) * 1000.0; } } timer; struct Xorshift { uint64_t x = 88172645463325252LL; void set_seed(unsigned seed, int rep = 100) { x = (seed + 1) * 10007; for (int i = 0; i < rep; i++) next_int(); } unsigned next_int() { x = x ^ (x << 7); return x = x ^ (x >> 9); } unsigned next_int(unsigned mod) { x = x ^ (x << 7); x = x ^ (x >> 9); return x % mod; } unsigned next_int(unsigned l, unsigned r) { x = x ^ (x << 7); x = x ^ (x >> 9); return x % (r - l + 1) + l; } double next_double() { return double(next_int()) / UINT_MAX; } } rnd; template void shuffle_vector(std::vector& v, Xorshift& rnd) { int n = v.size(); for (int i = n - 1; i >= 1; i--) { int r = rnd.next_int(i); std::swap(v[i], v[r]); } } std::vector split(std::string str, const std::string& delim) { for (char& c : str) if (delim.find(c) != std::string::npos) c = ' '; std::istringstream iss(str); std::vector parsed; std::string buf; while (iss >> buf) parsed.push_back(buf); return parsed; } template auto make_vector(T x, int arg, Args ...args) { if constexpr (sizeof...(args) == 0)return std::vector(arg, x); else return std::vector(arg, make_vector(x, args...)); } template bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } return false; } template bool chmin(T& a, const T& b) { if (a > b) { a = b; return true; } return false; } using ll = long long; using pii = std::pair; using pll = std::pair; using pdd = std::pair; constexpr int MAXBE = 2; constexpr double START_TEMP = 10, END_TEMP = 1; int N, K; using namespace std; ll score(vector Bs, vector Ms, vector Es, vector T, vector U) { vector> X(K, vector(N, 0)), Y(K, vector(N, 0)); for (int n = 0; n < N; n++) { int start = 2 * Bs[n]; int diff = 2 * Es[n]; int end = 2 * Ms[n]; int last = (start - end) / diff; int thr = start * (last + 1) - last * (last + 1) / 2 * diff; for (int i = 0; i < K; i++) { int t; t = T[i]; if (t <= thr) { int ok = MAXBE; int ng = -1; while (ng + 1 < ok){ int ch = (ok + ng) / 2; if (t < start * (ch + 1) - ch * (ch + 1) / 2 * diff) ng = ch; else ok = ch; } t -= start * ok - ok * (ok - 1) / 2 * diff; int sgn; if (ok % 2) sgn = -1; else sgn = 1; if (t <= (start - ok * diff) / 2) X[i][n] = sgn * t; else X[i][n] = sgn * (start - ok * diff - t); } else { t -= start * (last + 1) - last * (last + 1) / 2 * diff; int ok = last + t / end; t %= end; int sgn; if (ok % 2) sgn = -1; else sgn = 1; if (t <= end / 2) X[i][n] = sgn * t; else X[i][n] = sgn * (end - t); } t = U[i]; if (t <= thr) { int ok = MAXBE; int ng = -1; while (ng + 1 < ok){ int ch = (ok + ng) / 2; if (t < start * (ch + 1) - ch * (ch + 1) / 2 * diff) ng = ch; else ok = ch; } t -= start * ok - ok * (ok - 1) / 2 * diff; int sgn; if (ok % 2) sgn = -1; else sgn = 1; if (t <= (start - ok * diff) / 2) Y[i][n] = sgn * t; else Y[i][n] = sgn * (start - ok * diff - t); } else { t -= start * (last + 1) - last * (last + 1) / 2 * diff; int ok = last + t / end; t %= end; int sgn; if (ok % 2) sgn = -1; else sgn = 1; if (t <= end / 2) Y[i][n] = sgn * t; else Y[i][n] = sgn * (end - t); } } double tmp1 = 0; for (int k = 0; k < N; k++) { double t = 0; for (int i = 0; i < N - 1; i++) { for (int j = i + 1; j < N; j++) { t += (double)abs(X[k][i] - X[k][j]) / (double)(Bs[i] + Bs[j]); } } t *= 20000000.0 / N / (N - 1); tmp1 += t; } tmp1 /= K; double tmp2 = 0; for (int k = 0; k < N; k++) { int t = 0; for (int i = 0; i < N - 1; i++) { for (int j = i + 1; j < N; j++) { chmax(t, abs(X[k][i] - X[k][j])); } double tt = 10000000.0 / sqrt((double)t / 20 + 1); tmp2 += tt; } } ll ans1, ans2; ans1 = round(tmp1); ans2 = round(tmp2); return ans1 * ans2; } } int main() { cin >> N >> K; vector T(K), U(K); cin >> T >> U; vector Bs(N), Ms(N), Es(N); for (int i = 0; i < N; i++) { int tmp = rnd.next_int(MAXBE) + 1; Bs[i] = tmp; Ms[i] = rnd.next_int(tmp) + 1; Es[i] = rnd.next_int(tmp) + 1; } double tmp_score = score(Bs, Ms, Es, T, U); double start_time = timer.elapsedMs(), now_time, end_time = 1900; while ((now_time = timer.elapsedMs()) < end_time){ int idx = rnd.next_int(N); int newb = rnd.next_int(MAXBE) + 1; int newm = rnd.next_int(newb) + 1; int newe = rnd.next_int(newb) + 1; int oldb, oldm, olde; oldb = Bs[idx]; oldm = Ms[idx]; olde = Es[idx]; Bs[idx] = newb; Ms[idx] = newm; Es[idx] = newe; double new_score = score(Bs, Ms, Es, T, U); double temp = START_TEMP + (END_TEMP - START_TEMP) * now_time / 2000.0; double prob = exp((new_score - tmp_score) / temp); if (rnd.next_double() < prob) { Bs[idx] = oldb; Ms[idx] = oldm; Es[idx] = olde; } else { tmp_score = new_score; } for (int i = 0; i < N; i++) { cout << Bs[i] << ' ' << Ms[i] << ' ' << Es[i] << '\n'; } } dump(tmp_score * 50); }