結果
| 問題 |
No.1197 モンスターショー
|
| コンテスト | |
| ユーザー |
|
| 提出日時 | 2020-08-22 16:03:11 |
| 言語 | D (dmd 2.109.1) |
| 結果 |
AC
|
| 実行時間 | 1,128 ms / 3,000 ms |
| コード長 | 6,582 bytes |
| コンパイル時間 | 1,160 ms |
| コンパイル使用メモリ | 122,748 KB |
| 実行使用メモリ | 27,940 KB |
| 最終ジャッジ日時 | 2024-06-22 08:18:48 |
| 合計ジャッジ時間 | 21,816 ms |
|
ジャッジサーバーID (参考情報) |
judge2 / judge5 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 2 |
| other | AC * 41 |
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; }
real readReal() { return readToken.to!real; }
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)); }
// T, S: monoid
// opTT: T * T -> T
// opST: S * T * int -> T
// (s t_a) ... (s t_{b-1}) = opST(s, t_a ... t_{b-1}, b - a)
// opSS: S * S -> S
// query(a, b, s): t_a <- s t_a, ..., t_{b-1} <- s t_{b-1};
// returns t_a ... t_{b-1}
class SegmentTree(T, S, alias opTT, alias opST, alias opSS) {
import std.functional : binaryFun;
alias opTTFun = binaryFun!opTT;
alias opSTFun = opST;
alias opSSFun = binaryFun!opSS;
const(T) idT;
const(S) idS;
int n;
T[] ts;
S[] ss;
this(int n_, const(T) idT, const(S) idS) {
this.idT = idT;
this.idS = idS;
for (n = 1; n < n_; n <<= 1) {}
ts = new T[n << 1];
ss = new S[n << 1];
ts[] = idT;
ss[] = idS;
}
ref T at(int a) {
return ts[n + a];
}
void build() {
foreach_reverse (a; 1 .. n) ts[a] = opTTFun(ts[a << 1], ts[a << 1 | 1]);
}
T query(int a, int b, const(S) s) {
return query(1, 0, n, a, b, s);
}
private:
T query(int u, int l, int r, int a, int b, const(S) s) {
if (a < l) a = l;
if (b > r) b = r;
if (a >= b) return idT;
if (a == l && b == r) {
ts[u] = opSTFun(s, ts[u], r - l);
ss[u] = opSSFun(s, ss[u]);
return ts[u];
}
const int uL = u << 1, uR = u << 1 | 1;
const int mid = (l + r) >> 1;
// speed-up: if (ss[u] != idS)
{
ts[uL] = opSTFun(ss[u], ts[uL], mid - l);
ts[uR] = opSTFun(ss[u], ts[uR], r - mid);
ss[uL] = opSSFun(ss[u], ss[uL]);
ss[uR] = opSSFun(ss[u], ss[uR]);
ss[u] = idS;
}
const T resL = query(uL, l, mid, a, b, s);
const T resR = query(uR, mid, r, a, b, s);
ts[u] = opTTFun(ts[uL], ts[uR]);
return opTTFun(resL, resR);
}
}
int N;
int[] A, B;
int[][] G;
int[] par, sz, dep;
int O;
int[] ord, head;
void dfs0(int u, int p) {
par[u] = p;
sz[u] = 1;
dep[u] = (p == -1) ? 0 : (dep[p] + 1);
foreach (i; G[u]) {
const v = A[i] ^ B[i] ^ u;
if (v != p) {
dfs0(v, u);
sz[u] += sz[v];
}
}
}
void dfs1(int u, int p, int h) {
ord[u] = O++;
head[u] = h;
int vm = -1;
foreach (i; G[u]) {
const v = A[i] ^ B[i] ^ u;
if (v != p) {
if (vm == -1 || sz[vm] < sz[v]) {
vm = v;
}
}
}
if (vm != -1) {
dfs1(vm, u, h);
foreach (i; G[u]) {
const v = A[i] ^ B[i] ^ u;
if (v != p && v != vm) {
dfs1(v, u, v);
}
}
}
}
void main() {
try {
for (; ; ) {
N = readInt();
const K = readInt();
const Q = readInt();
auto C = new int[K];
foreach (k; 0 .. K) {
C[k] = readInt() - 1;
}
A = new int[N - 1];
B = new int[N - 1];
foreach (i; 0 .. N - 1) {
A[i] = readInt() - 1;
B[i] = readInt() - 1;
}
auto typ = new int[Q];
auto P = new int[Q];
auto D = new int[Q];
auto E = new int[Q];
foreach (q; 0 .. Q) {
typ[q] = readInt();
switch (typ[q]) {
case 1: {
P[q] = readInt() - 1;
D[q] = readInt() - 1;
} break;
case 2: {
E[q] = readInt() - 1;
} break;
default: assert(false);
}
}
G = new int[][N];
foreach (i; 0 .. N - 1) {
G[A[i]] ~= i;
G[B[i]] ~= i;
}
par = new int[N];
sz = new int[N];
dep = new int[N];
ord = new int[N];
head = new int[N];
const int rt = 0;
dfs0(rt, -1);
O = 0;
dfs1(rt, -1, rt);
debug {
writeln("ord = ", ord);
writeln("head = ", head);
}
auto seg = new SegmentTree!(long, long, "a + b", (s, t, sz) => t + s * sz, "a + b")(N, 0, 0);
// add val to the path from u to root
long query(int u, long val) {
long ret = 0;
for (; u != -1; ) {
const h = head[u];
ret += seg.query(ord[h], ord[u] + 1, val);
u = par[h];
}
return ret;
}
long sum0, sum1;
void add(int u, long val) {
sum0 += val;
sum1 += val * dep[u];
query(u, val);
}
foreach (k; 0 .. K) {
add(C[k], +1);
}
debug {
auto dist = new long[][](N, N);
foreach (u; 0 .. N) {
dist[u][] = N;
dist[u][u] = 0;
}
foreach (i; 0 .. N - 1) {
chmin(dist[A[i]][B[i]], 1);
chmin(dist[B[i]][A[i]], 1);
}
foreach (w; 0 .. N) foreach (u; 0 .. N) foreach (v; 0 .. N) {
chmin(dist[u][v], dist[u][w] + dist[w][v]);
}
}
auto cs = C.dup;
foreach (q; 0 .. Q) {
switch (typ[q]) {
case 1: {
const k = P[q];
add(cs[k], -1);
cs[k] = D[q];
add(cs[k], +1);
} break;
case 2: {
const res = query(E[q], 0);
debug {
writeln(E[q], "; ", sum0, " ", sum1, " ", dep[E[q]], " ", res);
}
long ans;
ans += sum0 * dep[E[q]];
ans += sum1;
ans -= 2 * (res - sum0);
writeln(ans);
debug {
long brt;
foreach (k; 0 .. K) {
brt += dist[E[q]][cs[k]];
}
assert(brt == ans);
}
} break;
default: assert(false);
}
}
}
} catch (EOFException e) {
}
}