結果

問題 No.1326 ふたりのDominator
ユーザー Kude
提出日時 2020-12-25 04:03:22
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 134 ms / 2,000 ms
コード長 9,567 bytes
コンパイル時間 2,464 ms
コンパイル使用メモリ 218,116 KB
最終ジャッジ日時 2025-01-17 07:03:14
ジャッジサーバーID
(参考情報)
judge2 / judge5
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
コンパイルメッセージ
In member function ‘void HLD::assign_idx(int, int, int&, int)’,
    inlined from ‘void HLD::assign_idx(int, int, int&, int)’ at main.cpp:200:23,
    inlined from ‘void HLD::assign_idx(int, int, int&, int)’ at main.cpp:200:23,
    inlined from ‘void HLD::assign_idx(int, int, int&, int)’ at main.cpp:200:23:
main.cpp:197:19: warning: ‘mi’ may be used uninitialized [-Wmaybe-uninitialized]
  197 |         assign_idx(mi, h, nxt, u);
      |         ~~~~~~~~~~^~~~~~~~~~~~~~~
main.cpp: In member function ‘void HLD::assign_idx(int, int, int&, int)’:
main.cpp:189:13: note: ‘mi’ was declared here
  189 |         int mi;
      |             ^~
In member function ‘void HLD::assign_idx(int, int, int&, int)’,
    inlined from ‘void HLD::assign_idx(int, int, int&, int)’ at main.cpp:200:23,
    inlined from ‘void HLD::assign_idx(int, int, int&, int)’ at main.cpp:200:23:
main.cpp:197:19: warning: ‘mi’ may be used uninitialized [-Wmaybe-uninitialized]
  197 |         assign_idx(mi, h, nxt, u);
      |         ~~~~~~~~~~^~~~~~~~~~~~~~~
main.cpp: In member function ‘void HLD::assign_idx(int, int, int&, int)’:
main.cpp:189:13: note: ‘mi’ was declared here
  189 |         int mi;
      |             ^~
In member function ‘void HLD::assign_idx(int, int, int&, int)’,
    inlined from ‘void HLD::assign_idx(int, int, int&, int)’ at main.cpp:197:19,
    inlined from ‘void HLD::assign_idx(int, int, int&, int)’ at main.cpp:200:23:
main.cpp:197:19: warning: ‘mi’ may be used uninitialized [-Wmaybe-uninitialized]
  197 |         assign_idx(mi, h, nxt, u);
      |         ~~~~~~~~~~^~~~~~~~~~~~~~~
main.cpp: In member function ‘void HLD::assign_idx(int, int, int&, int)’:
main.cpp:189:13: note: ‘mi’ was declared here
  189 |         int mi;
      |             ^~
In member function ‘void HLD::assign_idx(int, int, int&, int)’,
    inlined from ‘void HLD::assign_idx(int, int, int&, int)’ at main.cpp:200:23,
    inlined f

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>
#include <cassert>
#include <vector>
#include <cassert>
#include <numeric>
#include <type_traits>
namespace atcoder {
namespace internal {
#ifndef _MSC_VER
template <class T>
using is_signed_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value ||
std::is_same<T, __int128>::value,
std::true_type,
std::false_type>::type;
template <class T>
using is_unsigned_int128 =
typename std::conditional<std::is_same<T, __uint128_t>::value ||
std::is_same<T, unsigned __int128>::value,
std::true_type,
std::false_type>::type;
template <class T>
using make_unsigned_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value,
__uint128_t,
unsigned __int128>;
template <class T>
using is_integral = typename std::conditional<std::is_integral<T>::value ||
is_signed_int128<T>::value ||
is_unsigned_int128<T>::value,
std::true_type,
std::false_type>::type;
template <class T>
using is_signed_int = typename std::conditional<(is_integral<T>::value &&
std::is_signed<T>::value) ||
is_signed_int128<T>::value,
std::true_type,
std::false_type>::type;
template <class T>
using is_unsigned_int =
typename std::conditional<(is_integral<T>::value &&
std::is_unsigned<T>::value) ||
is_unsigned_int128<T>::value,
std::true_type,
std::false_type>::type;
template <class T>
using to_unsigned = typename std::conditional<
is_signed_int128<T>::value,
make_unsigned_int128<T>,
typename std::conditional<std::is_signed<T>::value,
std::make_unsigned<T>,
std::common_type<T>>::type>::type;
#else
template <class T> using is_integral = typename std::is_integral<T>;
template <class T>
using is_signed_int =
typename std::conditional<is_integral<T>::value && std::is_signed<T>::value,
std::true_type,
std::false_type>::type;
template <class T>
using is_unsigned_int =
typename std::conditional<is_integral<T>::value &&
std::is_unsigned<T>::value,
std::true_type,
std::false_type>::type;
template <class T>
using to_unsigned = typename std::conditional<is_signed_int<T>::value,
std::make_unsigned<T>,
std::common_type<T>>::type;
#endif
template <class T>
using is_signed_int_t = std::enable_if_t<is_signed_int<T>::value>;
template <class T>
using is_unsigned_int_t = std::enable_if_t<is_unsigned_int<T>::value>;
template <class T> using to_unsigned_t = typename to_unsigned<T>::type;
} // namespace internal
} // namespace atcoder
namespace atcoder {
template <class T> struct fenwick_tree {
using U = internal::to_unsigned_t<T>;
public:
fenwick_tree() : _n(0) {}
fenwick_tree(int n) : _n(n), data(n) {}
void add(int p, T x) {
assert(0 <= p && p < _n);
p++;
while (p <= _n) {
data[p - 1] += U(x);
p += p & -p;
}
}
T sum(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
return sum(r) - sum(l);
}
private:
int _n;
std::vector<U> data;
U sum(int r) {
U s = 0;
while (r > 0) {
s += data[r - 1];
r -= r & -r;
}
return s;
}
};
} // namespace atcoder
using namespace std;
using namespace atcoder;
#define rep(i,n) for(int i = 0; i < (n); ++i)
#define rrep(i,n) for(int i = (n)-1; i >= 0; --i)
#define chmax(a, b) a = max(a, b)
#define chmin(a, b) a = min(a, b)
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
using ll = long long;
using P = pair<int,int>;
using VI = vector<int>;
using VVI = vector<VI>;
using VL = vector<ll>;
using VVL = vector<VL>;
struct HLD {
std::vector<std::vector<int>> &to;
int root, n;
std::vector<int> sz, parent, depth, idx, ridx, head, inv;
HLD(std::vector<std::vector<int>>& to, int root=0):
to(to), root(root), n(to.size()),
sz(n), parent(n), depth(n), idx(n), ridx(n), head(n), inv(n)
{
init_tree_data(root);
int x = 0;
assign_idx(root, root, x);
}
void init_tree_data(int u, int p=-1, int d=0) {
parent[u] = p;
depth[u] = d;
int s = 1;
for(int v: to[u]) {
if (v == p) continue;
init_tree_data(v, u, d+1);
s += sz[v];
}
sz[u] = s;
}
void assign_idx(int u, int h, int &nxt, int p=-1) {
head[u] = h;
inv[nxt] = u;
idx[u] = nxt++;
if (sz[u] == 1) {
ridx[u] = nxt;
return;
}
int mxsize = 0;
int mi;
for(int v: to[u]) {
if (v == p) continue;
if (sz[v] > mxsize) {
mxsize = sz[v];
mi = v;
}
}
assign_idx(mi, h, nxt, u);
for(int v: to[u]) {
if (v == p || v == mi) continue;
assign_idx(v, v, nxt, u);
}
ridx[u] = nxt;
}
int lca(int u, int v) {
while(head[u] != head[v]) {
if (depth[head[u]] > depth[head[v]]) u = parent[head[u]];
else v = parent[head[v]];
}
return (depth[u] < depth[v] ? u : v);
}
// returns (paths upto lca from x (excluding lca), those from y, lca)
std::tuple<std::vector<std::pair<int, int>>, std::vector<std::pair<int, int>>, int> paths(int x, int y) {
std::tuple<std::vector<std::pair<int, int>>, std::vector<std::pair<int, int>>, int> ret;
std::vector<std::pair<int, int>>& x_paths = get<0>(ret);
std::vector<std::pair<int, int>>& y_paths = get<1>(ret);
int& lca = get<2>(ret);
while(head[x] != head[y]) {
int xhead = head[x], yhead = head[y];
if (depth[xhead] > depth[yhead]) {
x_paths.emplace_back(x, xhead);
x = parent[xhead];
} else {
y_paths.emplace_back(y, yhead);
y = parent[yhead];
}
}
if (depth[x] > depth[y]) {
int ychild = inv[idx[y] + 1];
x_paths.emplace_back(x, ychild);
x = y;
} else if (depth[x] < depth[y]) {
int xchild = inv[idx[x] + 1];
y_paths.emplace_back(y, xchild);
y = x;
}
lca = x;
return ret;
}
};
std::tuple<
std::vector<std::vector<int>>,
std::vector<int>,
std::vector<int>> lowlink(std::vector<std::vector<int>>& to, int root=0) {
// returns a tuple of (spanning_tree (directed), ord, low)
std::tuple<
std::vector<std::vector<int>>,
std::vector<int>,
std::vector<int>> res;
int n = to.size();
auto& tree = std::get<0>(res);
auto& ord = std::get<1>(res);
auto& low = std::get<2>(res);
tree.resize(n);
ord.resize(n, -1);
low.resize(n);
int nxt_ord = 0;
auto dfs = [&](auto&& self, int u, int parent=-1)->void {
low[u] = ord[u] = nxt_ord++;
for(int v: to[u]) {
if (v == parent) continue;
if (ord[v] == -1) {
tree[u].push_back(v);
self(self, v, u);
if (low[v] < low[u]) low[u] = low[v];
} else {
if (ord[v] < low[u]) low[u] = ord[v];
}
}
};
dfs(dfs, root);
return res;
}
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
int n, m;
cin >> n >> m;
VVI graph(n);
rep(i, m) {
int u, v;
cin >> u >> v;
--u, --v;
graph[u].push_back(v);
graph[v].push_back(u);
}
auto [tree, ord, low] = lowlink(graph);
HLD d(tree);
fenwick_tree<int> fw(n);
for(int i = 1; i < n; i++) {
int p = d.parent[i];
if (p == 0 && tree[p].size() >= 2 || p != 0 && low[i] >= ord[p]) fw.add(d.idx[i], 1);
}
int q;
cin >> q;
while(q--) {
int x, y;
cin >> x >> y;
x--, y--;
if (x == y) {
cout << 0 << '\n';
continue;
}
if (d.depth[x] > d.depth[y]) swap(x, y);
auto [xpaths, ypaths, lca] = d.paths(x, y);
int ans = 0;
bool x_added = false, y_added = false;
for(auto [s, t]: xpaths) {
int si = d.idx[s], ti = d.idx[t];
ans += fw.sum(ti, si + 1);
x_added = fw.sum(ti, ti + 1) == 1;
}
for(auto [s, t]: ypaths) {
int si = d.idx[s], ti = d.idx[t];
ans += fw.sum(ti, si + 1);
y_added = fw.sum(ti, ti + 1) == 1;
}
if ((x == lca || x_added) && y_added) ans -= 1;
cout << ans << '\n';
}
}
הההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההה
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
0