Submission #1047937

#TimeUsernameProblemLanguageResultExecution timeMemory
1047937NonozeGraph (BOI20_graph)C++17
58 / 100
725 ms23048 KiB
/* * Author: Nonoze * Created: Wednesday 07/08/2024 */ #include <bits/stdc++.h> using namespace std; namespace std { // https://judge.yosupo.jp/submission/193613 struct IOPre { static constexpr int TEN = 10, SZ = TEN * TEN * TEN * TEN; std::array<char, 4 * SZ> num; constexpr IOPre() : num{} { for (int i = 0; i < SZ; i++) for (int n = i, j = 3; j >= 0; j--) num[i * 4 + j] = n % TEN + '0', n /= TEN; } }; struct IO { #if !HAVE_DECL_FREAD_UNLOCKED #define fread_unlocked fread #endif #if !HAVE_DECL_FWRITE_UNLOCKED #define fwrite_unlocked fwrite #endif static constexpr int SZ = 1 << 17, LEN = 32, TEN = 10, HUNDRED = TEN * TEN, THOUSAND = HUNDRED * TEN, TENTHOUSAND = THOUSAND * TEN, MAGIC_MULTIPLY = 205, MAGIC_SHIFT = 11, MASK = 15, TWELVE = 12, SIXTEEN = 16; static constexpr IOPre io_pre = {}; std::array<char, SZ> input_buffer, output_buffer; int input_ptr_left, input_ptr_right, output_ptr_right; IO() : input_buffer{}, output_buffer{}, input_ptr_left{}, input_ptr_right{}, output_ptr_right{} {} IO(const IO&) = delete; IO(IO&&) = delete; IO& operator=(const IO&) = delete; IO& operator=(IO&&) = delete; ~IO() { flush(); } template<typename T> static constexpr bool is_char_v = std::is_same_v<T, char>; template<typename T> static constexpr bool is_bool_v = std::is_same_v<T, bool>; template<typename T> static constexpr bool is_string_v = std::is_same_v<T, std::string> || std::is_same_v<T, const char*> || std::is_same_v<T, char*> || std::is_same_v< std::decay_t<T>, char*>; template<typename T> static constexpr bool is_default_v = is_char_v<T> || is_bool_v<T> || is_string_v<T> || std::is_integral_v<T>; inline void load() { memmove(std::begin(input_buffer), std::begin(input_buffer) + input_ptr_left, input_ptr_right - input_ptr_left); input_ptr_right = input_ptr_right - input_ptr_left + fread_unlocked( std::begin(input_buffer) + input_ptr_right - input_ptr_left, 1, SZ - input_ptr_right + input_ptr_left, stdin); input_ptr_left = 0; } inline void read_char(char& c) { if (input_ptr_left + LEN > input_ptr_right) load(); c = input_buffer[input_ptr_left++]; } inline void read_string(std::string& x) { char c; while (read_char(c), c < '!') continue; x = c; while (read_char(c), c >= '!') x += c; } template<typename T> inline std::enable_if_t<std::is_integral_v<T>, void> read_int(T& x) { if (input_ptr_left + LEN > input_ptr_right) load(); char c = 0; do c = input_buffer[input_ptr_left++]; while (c < '-'); [[maybe_unused]] bool minus = false; if constexpr (std::is_signed<T>::value == true) if (c == '-') minus = true, c = input_buffer[input_ptr_left++]; x = 0; while (c >= '0') x = x * TEN + (c & MASK), c = input_buffer[input_ptr_left++]; if constexpr (std::is_signed<T>::value == true) if (minus) x = -x; } inline void skip_space() { if (input_ptr_left + LEN > input_ptr_right) load(); while (input_buffer[input_ptr_left] <= ' ') input_ptr_left++; } inline void flush() { fwrite_unlocked(std::begin(output_buffer), 1, output_ptr_right, stdout); output_ptr_right = 0; } inline void write_char(char c) { if (output_ptr_right > SZ - LEN) flush(); output_buffer[output_ptr_right++] = c; } inline void write_bool(bool b) { if (output_ptr_right > SZ - LEN) flush(); output_buffer[output_ptr_right++] = b ? '1' : '0'; } inline void write_string(const std::string& s) { for (auto x : s) write_char(x); } inline void write_string(const char* s) { while (*s) write_char(*s++); } inline void write_string(char* s) { while (*s) write_char(*s++); } template <typename T> inline std::enable_if_t< std::is_integral_v<T>, void> write_int(T x) { if (output_ptr_right > SZ - LEN) flush(); if (!x) { output_buffer[output_ptr_right++] = '0'; return; } if constexpr (std::is_signed_v<T>) if (x < 0) output_buffer[output_ptr_right++] = '-', x = -x; int i = TWELVE; std::array<char, SIXTEEN> buf{}; for (; x >= TENTHOUSAND; x /= TENTHOUSAND, i -= 4) memcpy(std::begin(buf) + i, std::begin(io_pre.num) + (x % TENTHOUSAND) * 4, 4); if (x < HUNDRED) { if (x < TEN) output_buffer[output_ptr_right++] = '0' + x; else { uint32_t q = (uint32_t(x) * MAGIC_MULTIPLY) >> MAGIC_SHIFT; uint32_t r = uint32_t(x) - q * TEN; output_buffer[output_ptr_right++] = '0' + q; output_buffer[output_ptr_right++] = '0' + r; } } else { if (x < THOUSAND) memcpy(std::begin(output_buffer) + output_ptr_right, std::begin(io_pre.num) + (x << 2) + 1, 3), output_ptr_right += 3; else memcpy(std::begin(output_buffer) + output_ptr_right, std::begin(io_pre.num) + (x << 2), 4), output_ptr_right += 4; } memcpy(std::begin(output_buffer) + output_ptr_right, std::begin(buf) + i + 4, TWELVE - i); output_ptr_right += TWELVE - i; } template <typename T_> std::enable_if_t<(is_default_v< std::remove_cv_t< std::remove_reference_t<T_> > >), IO&> operator<<(T_&& x) { using T = std::remove_cv_t< std::remove_reference_t<T_> >; if constexpr (is_bool_v<T>) write_bool(x); else if constexpr (is_string_v<T>) write_string(x); else if constexpr (is_char_v<T>) write_char(x); else if constexpr (std::is_integral_v<T>) write_int(x); return *this; } template<typename T> std::enable_if_t<(is_default_v<T> && !is_bool_v<T>), IO&> operator>>(T& x) { if constexpr (is_string_v<T>) read_string(x); else if constexpr (is_char_v<T>) read_char(x); else if constexpr (std::is_integral_v<T>) read_int(x); return *this; } IO* tie(std::nullptr_t) { return this; } void sync_with_stdio(bool) {} } io; } // namespace std using std::io; #define cin io #ifndef _IN_LOCAL #define dbg(...) #endif #define endl '\n' #define endlfl '\n' << flush #define quit(x) return (void)(cout << x << endl) #define sz(x) (int)(x.size()) #define all(x) (x).begin(), (x).end() #define rall(x) (x).rbegin(), (x).rend() #define pb push_back #define mp make_pair #define fi first #define se second #define cmin(a, b) a = min(a, b) #define cmax(a, b) a = max(a, b) #define int long long const int inf = numeric_limits<int>::max() / 4; mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); const int MOD = 1e9+7, LOG=25; void solve(); signed main() { ios::sync_with_stdio(0); cin.tie(0); int tt=1; // cin >> tt; while(tt--) solve(); return 0; } int n, k, m, q; vector<pair<int, int>> adj[100000]; bool visited[100000]; double weights[100000]; vector<vector<int>> contains; vector<int> roots; void dfspre(int u) { visited[u]=1; contains.back().pb(u); for (auto [v, w] : adj[u]) if (!visited[v]) dfspre(v); } void precalc() { for (int i=0; i<n; i++) if (!visited[i]) { roots.pb(i); contains.pb({}); dfspre(i); } } double dfs(int u) { visited[u]=1; double act=abs(weights[u]); for (auto [v, w]: adj[u]) { if (weights[v]!=-inf && weights[v]+weights[u]!=w) return inf; if (weights[v]!=-inf) continue; weights[v]=w-weights[u]; double t=dfs(v); if (t==inf) return inf; act+=t; } return act; } void solve() { cin >> n >> m; for (int i=0; i<m; i++) { int u, v, w; cin >> u >> v >> w; u--, v--; adj[u].pb({v, w}); adj[v].pb({u, w}); } precalc(); int empl=0; for (auto src: roots) { double tt=0, best=inf; for (double t=-50; t<=50; (t>=-24&&t<24?t+=0.5:t++)) { for (auto u: contains[empl]) weights[u]=-inf; weights[src]=t; double act=dfs(src); if (act<best) best=act, tt=t; } if (best==inf) quit("NO"); for (auto u: contains[empl]) weights[u]=-inf; weights[src]=tt; dfs(src); empl++; } cout << "YES" << fixed << setprecision(8) << endl; for (int i=0; i<n; i++) cout << weights[i] << ' '; }
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