結果

問題 No.2678 Minmax Independent Set (Hack)
ユーザー 2qbingxuan
提出日時 2024-03-16 02:42:26
言語 C++23
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 49 ms / 2,000 ms
コード長 5,166 bytes
コンパイル時間 3,029 ms
コンパイル使用メモリ 251,180 KB
実行使用メモリ 14,172 KB
最終ジャッジ日時 2024-09-30 03:45:58
合計ジャッジ時間 3,588 ms
ジャッジサーバーID
(参考情報)
judge3 / judge5
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ファイルパターン 結果
other AC * 1
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

// An AC a day keeps the doctor away.
#include <bits/stdc++.h>
using namespace std;
/*{{{*/
#define all(x) begin(x), end(x)
#ifdef CKISEKI
#include <experimental/iterator>
#define safe cerr<<__PRETTY_FUNCTION__<<" line "<<__LINE__<<" safe\n"
#define debug(a...) debug_(#a, a)
#define orange(a...) orange_(#a, a)
void debug_(auto s, auto ...a) {
cerr << "\e[1;32m(" << s << ") = (";
int f = 0;
(..., (cerr << (f++ ? ", " : "") << a));
cerr << ")\e[0m\n";
}
void orange_(auto s, auto L, auto R) {
cerr << "\e[1;33m[ " << s << " ] = [ ";
using namespace experimental;
copy(L, R, make_ostream_joiner(cerr, ", "));
cerr << " ]\e[0m\n";
}
#else
#define safe ((void)0)
#define debug(...) safe
#define orange(...) safe
#endif
template <typename T, T MOD> class Modular {
public:
constexpr Modular() : v() {}
template <typename U> Modular(const U &u) { v = (0 <= u && u < MOD ? u : (u%MOD+MOD)%MOD); }
template <typename U> explicit operator U() const { return U(v); }
T operator()() const { return v; }
#define REFOP(type, expr...) Modular &operator type (const Modular &rhs) { return expr, *this; }
REFOP(+=, v += rhs.v - MOD, v += MOD & (v >> width)) ; REFOP(-=, v -= rhs.v, v += MOD & (v >> width))
// fits for MOD^2 <= 9e18
REFOP(*=, v = static_cast<T>(1LL * v * rhs.v % MOD)) ; REFOP(/=, *this *= inverse(rhs.v))
#define VALOP(op) friend Modular operator op (Modular a, const Modular &b) { return a op##= b; }
VALOP(+) ; VALOP(-) ; VALOP(*) ; VALOP(/)
Modular operator-() const { return 0 - *this; }
friend bool operator == (const Modular &lhs, const Modular &rhs) { return lhs.v == rhs.v; }
friend bool operator != (const Modular &lhs, const Modular &rhs) { return lhs.v != rhs.v; }
friend std::istream & operator>>(std::istream &I, Modular &m) { T x; I >> x, m = x; return I; }
friend std::ostream & operator<<(std::ostream &O, const Modular &m) { return O << m.v; }
private:
constexpr static int width = sizeof(T) * 8 - 1;
T v;
static T inverse(T a) {
// copy from tourist's template
T u = 0, v = 1, m = MOD;
while (a != 0) {
T t = m / a;
m -= t * a; std::swap(a, m);
u -= t * v; std::swap(u, v);
}
assert(m == 1);
return u;
}
};
using lld = int64_t;
using llf = long double;
template <typename T> using max_heap = std::priority_queue<T,vector<T>,less<T> >;
template <typename T> using min_heap = std::priority_queue<T,vector<T>,greater<T> >;
template <typename V, typename T> int get_pos(const V &v, T x) { return lower_bound(all(v),x) - begin(v); }
template <typename V> void sort_uni(V &v) { sort(all(v)), v.erase(unique(all(v)),end(v)); }
template <typename T> bool chmin(T &x, const T &v) { return v < x ? (x=v, true) : false; }
template <typename T> bool chmax(T &x, const T &v) { return x < v ? (x=v, true) : false; }
constexpr inline lld cdiv(lld x, lld m) { return x/m + (x%m ? (x<0) ^ (m>0) : 0); } // ceiling divide
constexpr inline lld modpow(lld e,lld p,lld m) { lld r=1; for(e%=m;p;p>>=1,e=e*e%m) if(p&1) r=r*e%m; return r; }/*}}}*/
constexpr llf eps = 1e-9;
constexpr lld maxn = 200025, INF = 1e18, mod = 998244353, K = 14699, inf = 1e9;
using Mint = Modular<int, mod>;
Mint modpow(Mint e, uint64_t p) { Mint r = 1; while (p) (p&1) && (r *= e), e *= e, p >>= 1; return r; } // 0^0 = 1
const auto dummy = [] { return cin.tie(nullptr)->sync_with_stdio(false); }();
signed main() {
int N = 2e5;
// cin >> N;
cout << N << '\n';
vector<vector<int>> g(N);
for (int i = 1; i < N; i++) {
int u, v;
if (i >= 3000) {
u = i + 1;
v = (i + 1) >> 1;
} else {
u = i + 1;
v = i;
}
cout << v << ' ' << u << '\n';
/* cin >> u >> v; */
--u, --v;
g[u].emplace_back(v);
g[v].emplace_back(u);
}
return 0;
vector<array<int, 2>> dp(N);
auto dfs = [&](auto self, int i, int f) -> void {
dp[i][1] = 1;
for (int j : g[i]) if (j != f) {
self(self, j, i);
const auto &s = dp[j];
dp[i][0] += max(s[0], s[1]);
dp[i][1] += s[0];
}
};
dfs(dfs, 0, -1);
int ans = inf;
vector<int> cnt(N);
auto reroot = [&](auto self, int i, int f) -> void {
cnt[i] = dp[i][1];
if (ans > dp[i][1])
ans = dp[i][1];
for (int j : g[i]) if (j != f) {
{
const auto &s = dp[j];
dp[i][0] -= max(s[0], s[1]);
dp[i][1] -= s[0];
}
{
const auto &s = dp[i];
dp[j][0] += max(s[0], s[1]);
dp[j][1] += s[0];
}
self(self, j, i);
{
const auto &s = dp[i];
dp[j][0] -= max(s[0], s[1]);
dp[j][1] -= s[0];
}
{
const auto &s = dp[j];
dp[i][0] += max(s[0], s[1]);
dp[i][1] += s[0];
}
}
};
reroot(reroot, 0, -1);
vector<int> ord(N);
iota(all(ord), 0);
sort(all(ord), [&](int a, int b) {
return g[a].size() > g[b].size();
});
int turn = 0;
for (int j = 0; j < 10; j++) {
debug(cnt[ord[j]]);
}
for (int x : ord) {
if (cnt[x] == ans) {
debug(turn);
debug(g[x].size());
break;
}
++turn;
}
cout << ans << '\n';
}
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