結果

問題 No.2584 The University of Tree
ユーザー 👑 hos.lyric
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
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ソースコード

diff #
プレゼンテーションモードにする

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) {
}
}
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