結果

問題 No.1326 ふたりのDominator
ユーザー ei1333333
提出日時 2020-12-23 02:32:25
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 143 ms / 2,000 ms
コード長 12,058 bytes
コンパイル時間 3,135 ms
コンパイル使用メモリ 227,860 KB
最終ジャッジ日時 2025-01-17 06:21:39
ジャッジサーバーID
(参考情報)
judge5 / judge3
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample AC * 1
other AC * 24
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

#include<bits/stdc++.h>
using namespace std;
using int64 = long long;
//const int mod = 1e9 + 7;
const int mod = 998244353;
const int64 infll = (1LL << 62) - 1;
const int inf = (1 << 30) - 1;
struct IoSetup {
IoSetup() {
cin.tie(nullptr);
ios::sync_with_stdio(false);
cout << fixed << setprecision(10);
cerr << fixed << setprecision(10);
}
} iosetup;
template< typename T1, typename T2 >
ostream &operator<<(ostream &os, const pair< T1, T2 > &p) {
os << p.first << " " << p.second;
return os;
}
template< typename T1, typename T2 >
istream &operator>>(istream &is, pair< T1, T2 > &p) {
is >> p.first >> p.second;
return is;
}
template< typename T >
ostream &operator<<(ostream &os, const vector< T > &v) {
for(int i = 0; i < (int) v.size(); i++) {
os << v[i] << (i + 1 != v.size() ? " " : "");
}
return os;
}
template< typename T >
istream &operator>>(istream &is, vector< T > &v) {
for(T &in : v) is >> in;
return is;
}
template< typename T1, typename T2 >
inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); }
template< typename T1, typename T2 >
inline bool chmin(T1 &a, T2 b) { return a > b && (a = b, true); }
template< typename T = int64 >
vector< T > make_v(size_t a) {
return vector< T >(a);
}
template< typename T, typename... Ts >
auto make_v(size_t a, Ts... ts) {
return vector< decltype(make_v< T >(ts...)) >(a, make_v< T >(ts...));
}
template< typename T, typename V >
typename enable_if< is_class< T >::value == 0 >::type fill_v(T &t, const V &v) {
t = v;
}
template< typename T, typename V >
typename enable_if< is_class< T >::value != 0 >::type fill_v(T &t, const V &v) {
for(auto &e : t) fill_v(e, v);
}
template< typename F >
struct FixPoint : F {
FixPoint(F &&f) : F(forward< F >(f)) {}
template< typename... Args >
decltype(auto) operator()(Args &&... args) const {
return F::operator()(*this, forward< Args >(args)...);
}
};
template< typename F >
inline decltype(auto) MFP(F &&f) {
return FixPoint< F >{forward< F >(f)};
}
template< typename T = int >
struct Edge {
int from, to;
T cost;
int idx;
Edge() = default;
Edge(int from, int to, T cost = 1, int idx = -1) : from(from), to(to), cost(cost), idx(idx) {}
operator int() const { return to; }
};
template< typename T = int >
struct Graph {
vector< vector< Edge< T > > > g;
int es;
Graph() = default;
explicit Graph(int n) : g(n), es(0) {}
size_t size() const {
return g.size();
}
void add_directed_edge(int from, int to, T cost = 1) {
g[from].emplace_back(from, to, cost, es++);
}
void add_edge(int from, int to, T cost = 1) {
g[from].emplace_back(from, to, cost, es);
g[to].emplace_back(to, from, cost, es++);
}
void read(int M, int padding = -1, bool weighted = false, bool directed = false) {
for(int i = 0; i < M; i++) {
int a, b;
cin >> a >> b;
a += padding;
b += padding;
T c = T(1);
if(weighted) cin >> c;
if(directed) add_directed_edge(a, b, c);
else add_edge(a, b, c);
}
}
};
template< typename T = int >
using Edges = vector< Edge< T > >;
/**
* @brief Low-Link(/)
* @see http://kagamiz.hatenablog.com/entry/2013/10/05/005213
* @docs docs/low-link.md
*/
template< typename T = int >
struct LowLink : Graph< T > {
public:
using Graph< T >::Graph;
vector< int > ord, low, articulation;
vector< Edge< T > > bridge;
using Graph< T >::g;
virtual void build() {
used.assign(g.size(), 0);
ord.assign(g.size(), 0);
low.assign(g.size(), 0);
int k = 0;
for(int i = 0; i < (int) g.size(); i++) {
if(!used[i]) k = dfs(i, k, -1);
}
}
explicit LowLink(const Graph< T > &g) : Graph< T >(g) {}
private:
vector< int > used;
int dfs(int idx, int k, int par) {
used[idx] = true;
ord[idx] = k++;
low[idx] = ord[idx];
bool is_articulation = false, beet = false;
int cnt = 0;
for(auto &to : g[idx]) {
if(to == par && !exchange(beet, true)) {
continue;
}
if(!used[to]) {
++cnt;
k = dfs(to, k, idx);
low[idx] = min(low[idx], low[to]);
is_articulation |= par >= 0 && low[to] >= ord[idx];
if(ord[idx] < low[to]) bridge.emplace_back(to);
} else {
low[idx] = min(low[idx], ord[to]);
}
}
is_articulation |= par == -1 && cnt > 1;
if(is_articulation) articulation.push_back(idx);
return k;
}
};
/**
* @brief Bi-Connected-Components()
* @docs docs/bi-connected-components.md
*/
template< typename T = int >
struct BiConnectedComponents : LowLink< T > {
public:
using LowLink< T >::LowLink;
using LowLink< T >::g;
using LowLink< T >::ord;
using LowLink< T >::low;
vector< vector< Edge< T > > > bc;
void build() override {
LowLink< T >::build();
used.assign(g.size(), 0);
for(int i = 0; i < used.size(); i++) {
if(!used[i]) dfs(i, -1);
}
}
explicit BiConnectedComponents(const Graph< T > &g) : Graph< T >(g) {}
private:
vector< int > used;
vector< Edge< T > > tmp;
void dfs(int idx, int par) {
used[idx] = true;
bool beet = false;
for(auto &to : g[idx]) {
if(to == par && !exchange(beet, true)) continue;
if(!used[to] || ord[to] < ord[idx]) {
tmp.emplace_back(to);
}
if(!used[to]) {
dfs(to, idx);
if(low[to] >= ord[idx]) {
bc.emplace_back();
for(;;) {
auto e = tmp.back();
bc.back().emplace_back(e);
tmp.pop_back();
if(e.idx == to.idx) break;
}
}
}
}
}
};
/**
* @brief Block-Cut-Tree
* @see https://ei1333.hateblo.jp/entry/2020/03/25/010057
*/
template< typename T = int >
struct BlockCutTree : BiConnectedComponents< T > {
public:
using BiConnectedComponents< T >::BiConnectedComponents;
using BiConnectedComponents< T >::g;
using BiConnectedComponents< T >::articulation;
using BiConnectedComponents< T >::bc;
vector< int > rev;
vector< vector< int > > group;
Graph< T > tree;
explicit BlockCutTree(const Graph< T > &g) : Graph< T >(g) {}
int operator[](const int &k) const {
return rev[k];
}
void build() override {
BiConnectedComponents< T >::build();
rev.assign(g.size(), -1);
int ptr = (int) bc.size();
for(auto &idx : articulation) {
rev[idx] = ptr++;
}
vector< int > last(ptr, -1);
tree = Graph< T >(ptr);
for(int i = 0; i < (int) bc.size(); i++) {
for(auto &e : bc[i]) {
for(auto &ver : {e.from, e.to}) {
if(rev[ver] >= (int) bc.size()) {
if(exchange(last[rev[ver]], i) != i) {
tree.add_edge(rev[ver], i, e.cost);
}
} else {
rev[ver] = i;
}
}
}
}
group.resize(ptr);
for(int i = 0; i < (int) g.size(); i++) {
group[rev[i]].emplace_back(i);
}
}
};
/**
* @brief Sparse-Table()
* @docs docs/sparse-table.md
*/
template< typename T, typename F >
struct SparseTable {
F f;
vector< vector< T > > st;
vector< int > lookup;
SparseTable() = default;
explicit SparseTable(const vector< T > &v, const F &f) : f(f) {
const int n = (int) v.size();
const int b = 32 - __builtin_clz(n);
st.assign(b, vector< T >(n));
for(int i = 0; i < v.size(); i++) {
st[0][i] = v[i];
}
for(int i = 1; i < b; i++) {
for(int j = 0; j + (1 << i) <= n; j++) {
st[i][j] = f(st[i - 1][j], st[i - 1][j + (1 << (i - 1))]);
}
}
lookup.resize(v.size() + 1);
for(int i = 2; i < lookup.size(); i++) {
lookup[i] = lookup[i >> 1] + 1;
}
}
inline T fold(int l, int r) const {
int b = lookup[r - l];
return f(st[b][l], st[b][r - (1 << b)]);
}
};
template< typename T, typename F >
SparseTable< T, F > get_sparse_table(const vector< T > &v, const F &f) {
return SparseTable< T, F >(v, f);
}
/**
* @brief Plus-Minus-One-RMQ
**/
template< typename T >
struct PlusMinusOneRMQ {
using F = function< int(int, int) >;
int backet;
vector< T > vs;
vector< int > bidx, bbit;
SparseTable< int, F > st;
vector< vector< vector< int > > > lookup;
explicit PlusMinusOneRMQ() = default;
explicit PlusMinusOneRMQ(const vector< T > &vs) : vs(vs) {
int n = (int) vs.size();
backet = max(1, (31 - __builtin_clz(n)) / 2);
int sz = (n + backet - 1) / backet;
bidx.assign(sz, -1);
bbit.assign(sz, 0);
for(int i = 0; i < sz; i++) {
int l = i * backet;
int r = min(l + backet, n);
bidx[i] = l;
for(int j = l + 1; j < r; j++) {
if(vs[j] < vs[bidx[i]]) bidx[i] = j;
if(vs[j - 1] < vs[j]) bbit[i] |= 1 << (j - l - 1);
}
}
F f = [&](int a, int b) { return vs[a] < vs[b] ? a : b; };
st = get_sparse_table(bidx, f);
lookup.assign(1 << (backet - 1), vector< vector< int > >(backet, vector< int >(backet + 1)));
for(int i = 0; i < (1 << (backet - 1)); i++) {
for(int j = 0; j < backet; j++) {
int sum = 0, ret = 0, pos = j;
for(int k = j + 1; k <= backet; k++) {
lookup[i][j][k] = pos;
if(i & (1 << (k - 1))) ++sum;
else --sum;
if(sum < ret) {
pos = k;
ret = sum;
}
}
}
}
}
pair< T, int > fold(int l, int r) const {
int lb = l / backet;
int rb = r / backet;
if(lb == rb) {
int pos = lb * backet + lookup[bbit[lb]][l % backet][r % backet];
return {vs[pos], pos};
}
int pos = lb * backet + lookup[bbit[lb]][l % backet][backet];
if(r % backet > 0) {
int sub = rb * backet + lookup[bbit[rb]][0][r % backet];
if(vs[sub] < vs[pos]) pos = sub;
}
if(lb + 1 == rb) {
return {vs[pos], pos};
} else {
int sub = st.fold(lb + 1, rb);
if(vs[sub] < vs[pos]) pos = sub;
return {vs[pos], pos};
}
}
};
/**
* @brief PMORMQ-Lowest-Common-Ancestor()
* @docs docs/pmormq-lowest-common-ancestor.md
**/
template< typename T = int >
struct PMORMQLowestCommonAncestor : Graph< T > {
public:
using Graph< T >::Graph;
using Graph< T >::g;
using F = function< int(int, int) >;
void build(int root = 0) {
ord.reserve(g.size() * 2 - 1);
dep.reserve(g.size() * 2 - 1);
in.resize(g.size());
dfs(root, -1, 0);
vector< int > vs(g.size() * 2 - 1);
iota(begin(vs), end(vs), 0);
st = PlusMinusOneRMQ< int >(dep);
}
int lca(int x, int y) const {
if(in[x] > in[y]) swap(x, y);
return ord[st.fold(in[x], in[y] + 1).second];
}
explicit PMORMQLowestCommonAncestor(const Graph< T > &g) : Graph< T >(g) {}
private:
vector< int > ord, dep, in;
PlusMinusOneRMQ< int > st;
void dfs(int idx, int par, int d) {
in[idx] = (int) ord.size();
ord.emplace_back(idx);
dep.emplace_back(d);
for(auto &to : g[idx]) {
if(to != par) {
dfs(to, idx, d + 1);
ord.emplace_back(idx);
dep.emplace_back(d);
}
}
}
};
int main() {
int N, M;
cin >> N >> M;
BlockCutTree<> g(N);
g.read(M);
g.build();
PMORMQLowestCommonAncestor<> bct(g.tree);
bct.build();
vector< int > sum(g.tree.size());
MFP([&](auto rec, int idx, int par) -> void {
if(idx >= g.bc.size()) {
sum[idx]++;
}
for(auto &to : g.tree.g[idx]) {
if(to != par) {
sum[to] += sum[idx];
rec(to, idx);
}
}
})(0, -1);
int Q;
cin >> Q;
while(Q--) {
int X, Y;
cin >> X >> Y;
--X, --Y;
X = g[X];
Y = g[Y];
if(X == Y) {
cout << 0 << "\n";
continue;
}
int lca = bct.lca(X, Y);
if(X == lca) {
swap(X, Y);
}
if(Y == lca) {
int ans = sum[X] - sum[Y];
ans -= X >= g.bc.size();
cout << ans << "\n";
continue;
}
int ans = sum[X] + sum[Y] - 2 * sum[lca];
ans -= X >= g.bc.size();
ans -= Y >= g.bc.size();
ans += lca >= g.bc.size();
cout << ans << "\n";
}
}
הההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההה
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
0