結果
問題 | No.2584 The University of Tree |
ユーザー |
👑 |
提出日時 | 2023-12-12 00:26:30 |
言語 | D (dmd 2.109.1) |
結果 |
AC
|
実行時間 | 793 ms / 3,000 ms |
コード長 | 5,588 bytes |
コンパイル時間 | 4,178 ms |
コンパイル使用メモリ | 152,704 KB |
実行使用メモリ | 92,916 KB |
最終ジャッジ日時 | 2024-09-27 04:42:48 |
合計ジャッジ時間 | 23,353 ms |
ジャッジサーバーID (参考情報) |
judge4 / judge1 |
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ファイルパターン | 結果 |
---|---|
other | AC * 53 |
ソースコード
import std.conv, std.functional, std.range, std.stdio, std.string;import std.algorithm, std.array, std.bigint, std.bitmanip, std.complex, std.container, std.math, std.mathspecial, std.numeric, std.regex, std.typecons;import core.bitop;class EOFException : Throwable { this() { super("EOF"); } }string[] tokens;string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; }int readInt() { return readToken.to!int; }long readLong() { return readToken.to!long; }string COLOR(string s = "") { return "\x1b[" ~ s ~ "m"; }bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } }bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } }int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1;(unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; }int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); }int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); }struct ModInt(uint M_) {import std.conv : to;alias M = M_;uint x;this(ModInt a) { x = a.x; }this(uint x_) { x = x_ % M; }this(ulong x_) { x = cast(uint)(x_ % M); }this(int x_) { x = ((x_ %= cast(int)(M)) < 0) ? (x_ + cast(int)(M)) : x_; }this(long x_) { x = cast(uint)(((x_ %= cast(long)(M)) < 0) ? (x_ + cast(long)(M)) : x_); }ref ModInt opAssign(T)(inout(T) a) if (is(T == uint) || is(T == ulong) || is(T == int) || is(T == long)) { return this = ModInt(a); }ref ModInt opOpAssign(string op, T)(T a) {static if (is(T == ModInt)) {static if (op == "+") { x = ((x += a.x) >= M) ? (x - M) : x; }else static if (op == "-") { x = ((x -= a.x) >= M) ? (x + M) : x; }else static if (op == "*") { x = cast(uint)((cast(ulong)(x) * a.x) % M); }else static if (op == "/") { this *= a.inv(); }else static assert(false);return this;} else static if (op == "^^") {if (a < 0) return this = inv()^^(-a);ModInt b = this, c = 1U;for (long e = a; e; e >>= 1) { if (e & 1) c *= b; b *= b; }return this = c;} else {return mixin("this " ~ op ~ "= ModInt(a)");}}ModInt inv() const {uint a = M, b = x; int y = 0, z = 1;for (; b; ) { const q = a / b; const c = a - q * b; a = b; b = c; const w = y - cast(int)(q) * z; y = z; z = w; }assert(a == 1); return ModInt(y);}ModInt opUnary(string op)() const {static if (op == "+") { return this; }else static if (op == "-") { ModInt a; a.x = x ? (M - x) : 0U; return a; }else static assert(false);}ModInt opBinary(string op, T)(T a) const { return mixin("ModInt(this) " ~ op ~ "= a"); }ModInt opBinaryRight(string op, T)(T a) const { return mixin("ModInt(a) " ~ op ~ "= this"); }bool opCast(T: bool)() const { return (x != 0U); }string toString() const { return x.to!string; }}enum MO = 998244353;alias Mint = ModInt!MO;int N;int[] C;int[][] G;int[][] E;int[] par;Mint[] dp, DP;void dfs(int u, int p) {par[u] = p;if (~p) {foreach (c; 0 .. C[u]) if (E[u][c] == p) {E[u] = E[u][c .. $] ~ E[u][0 .. c];break;}}debug {writeln(u, " ", p, " ", E[u]);}foreach (c; 1 .. C[u]) if (~E[u][c]) {dfs(E[u][c], u);}auto ws = new Mint[C[u] + 1];ws[0] = 1;foreach (c; 1 .. C[u] + 1) ws[c] = ws[c - 1] * Mint(u + 1);dp[u] = 0;foreach (c; 1 .. C[u]) {dp[u] += ws[c] * ((~E[u][c]) ? dp[E[u][c]] : Mint(1));}}void DFS(int u, int p) {auto ws = new Mint[C[u] + 1];ws[0] = 1;foreach (c; 1 .. C[u] + 1) ws[c] = ws[c - 1] * Mint(u + 1);auto pre = new Mint[C[u] + 1];auto suf = new Mint[C[u] + 1];foreach (c; 0 .. C[u]) pre[c + 1] = pre[c] + ws[c] * ((~E[u][c]) ? (c ? dp[E[u][c]] : DP[u]) : Mint(1));foreach_reverse (c; 0 .. C[u]) suf[c] = ((~E[u][c]) ? (c ? dp[E[u][c]] : DP[u]) : Mint(1)) + ws[1] * suf[c + 1];foreach (c; 1 .. C[u]) if (~E[u][c]) {DP[E[u][c]] = ws[1] * suf[c + 1] + ws[C[u] - c] * pre[c];}foreach (c; 1 .. C[u]) if (~E[u][c]) {DFS(E[u][c], u);}}void main() {try {for (; ; ) {N = readInt;C = new int[N];G = new int[][N];foreach (u; 0 .. N) {C[u] = readInt + 1;G[u] = new int[C[u]];foreach (c; 1 .. C[u]) {G[u][c] = readInt - 1;}G[u][0] = -1;}auto uss = new int[][N - 1];foreach (u; 0 .. N) foreach (c; 1 .. C[u]) {uss[G[u][c]] ~= u;}E = new int[][N];foreach (u; 0 .. N) {E[u] = new int[C[u]];E[u][0] = -1;foreach (c; 1 .. C[u]) {const i = G[u][c];E[u][c] = uss[i][0] ^ uss[i][1] ^ u;}}par.length = N;dp.length = N;DP.length = N;const rt = 0;dfs(rt, -1);DFS(rt, -1);debug {writeln("rt = ", rt);writeln("dp = ", dp);writeln("DP = ", DP);}foreach (u; 0 .. N) {int c0 = -1;foreach (c; 0 .. C[u]) if (!~E[u][c]) c0 = c;const Mint w = Mint(u + 1);Mint ans;void add(int c) {ans += (c ? dp[E[u][c]] : DP[u]);ans *= w;}foreach_reverse (c; 0 .. c0) add(c);foreach_reverse (c; c0 + 1 .. C[u]) add(c);writeln(ans);}}} catch (EOFException e) {}}