結果
| 問題 |
No.2642 Don't cut line!
|
| コンテスト | |
| ユーザー |
 siganai
|
| 提出日時 | 2024-02-24 16:05:29 |
| 言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 166 ms / 4,000 ms |
| コード長 | 15,229 bytes |
| コンパイル時間 | 3,139 ms |
| コンパイル使用メモリ | 225,456 KB |
| 最終ジャッジ日時 | 2025-02-19 21:03:23 |
|
ジャッジサーバーID （参考情報） |
judge2 / judge5 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 33 |
ソースコード
#line 1 "main.cpp"
//#pragma GCC target("avx,avx2")
//#pragma GCC optimize("O3")
//#pragma GCC optimize("unroll-loops")
#include<bits/stdc++.h>
#ifdef LOCAL
#include <debug.hpp>
#define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__)
#else
#define debug(...) (static_cast<void>(0))
#endif
using namespace std;
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using pll = pair<ll, ll>;
using pii = pair<int, int>;
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vul = vector<ull>;
using vpii = vector<pii>;
using vpll = vector<pll>;
using vs = vector<string>;
template<class T> using pq = priority_queue<T, vector<T>, greater<T>>;
#define overload4(_1, _2, _3, _4, name, ...) name
#define overload3(a,b,c,name,...) name
#define rep1(n) for (ll UNUSED_NUMBER = 0; UNUSED_NUMBER < (n); ++UNUSED_NUMBER)
#define rep2(i, n) for (ll i = 0; i < (n); ++i)
#define rep3(i, a, b) for (ll i = (a); i < (b); ++i)
#define rep4(i, a, b, c) for (ll i = (a); i < (b); i += (c))
#define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__)
#define rrep1(n) for(ll i = (n) - 1;i >= 0;i--)
#define rrep2(i,n) for(ll i = (n) - 1;i >= 0;i--)
#define rrep3(i,a,b) for(ll i = (b) - 1;i >= (a);i--)
#define rrep4(i,a,b,c) for(ll i = (a) + ((b)-(a)-1) / (c) * (c);i >= (a);i -= c)
#define rrep(...) overload4(__VA_ARGS__, rrep4, rrep3, rrep2, rrep1)(__VA_ARGS__)
#define all1(i) begin(i) , end(i)
#define all2(i,a) begin(i) , begin(i) + a
#define all3(i,a,b) begin(i) + a , begin(i) + b
#define all(...) overload3(__VA_ARGS__, all3, all2, all1)(__VA_ARGS__)
#define sum(...) accumulate(all(__VA_ARGS__),0LL)
template<class T> bool chmin(T &a, const T &b){ if(a > b){ a = b; return 1; } else return 0; }
template<class T> bool chmax(T &a, const T &b){ if(a < b){ a = b; return 1; } else return 0; }
template<class T> auto min(const T& a){return *min_element(all(a));}
template<class T> auto max(const T& a){return *max_element(all(a));}
template<class... Ts> void in(Ts&... t);
#define INT(...) int __VA_ARGS__; in(__VA_ARGS__)
#define LL(...) ll __VA_ARGS__; in(__VA_ARGS__)
#define STR(...) string __VA_ARGS__; in(__VA_ARGS__)
#define CHR(...) char __VA_ARGS__; in(__VA_ARGS__)
#define DBL(...) double __VA_ARGS__; in(__VA_ARGS__)
#define LD(...) ld __VA_ARGS__; in(__VA_ARGS__)
#define VEC(type, name, size) vector<type> name(size); in(name)
#define VV(type, name, h, w) vector<vector<type>> name(h, vector<type>(w)); in(name)
ll intpow(ll a, ll b){ ll ans = 1; while(b){if(b & 1) ans *= a; a *= a; b /= 2;} return ans;}
ll modpow(ll a, ll b, ll p){ ll ans = 1; a %= p;if(a < 0) a += p;while(b){ if(b & 1) (ans *= a) %= p; (a *= a) %= p; b /= 2; } return ans; }
void Yes() {cout << "Yes\n";return;}
void No() {cout << "No\n";return;}
void YES() {cout << "YES\n";return;}
void NO() {cout << "NO\n";return;}
void First() {cout << "First\n";return;}
void Second() {cout << "Second\n";return;}
namespace IO{
#define VOID(a) decltype(void(a))
struct setting{ setting(){cin.tie(nullptr); ios::sync_with_stdio(false);fixed(cout); cout.precision(12);}} setting;
template<int I> struct P : P<I-1>{};
template<> struct P<0>{};
template<class T> void i(T& t){ i(t, P<3>{}); }
void i(vector<bool>::reference t, P<3>){ int a; i(a); t = a; }
template<class T> auto i(T& t, P<2>) -> VOID(cin >> t){ cin >> t; }
template<class T> auto i(T& t, P<1>) -> VOID(begin(t)){ for(auto&& x : t) i(x); }
template<class T, size_t... idx> void ituple(T& t, index_sequence<idx...>){in(get<idx>(t)...);}
template<class T> auto i(T& t, P<0>) -> VOID(tuple_size<T>{}){ituple(t, make_index_sequence<tuple_size<T>::value>{});}
#undef VOID
}
#define unpack(a) (void)initializer_list<int>{(a, 0)...}
template<class... Ts> void in(Ts&... t){ unpack(IO :: i(t)); }
#undef unpack
static const double PI = 3.1415926535897932;
template <class F> struct REC {
F f;
REC(F &&f_) : f(forward<F>(f_)) {}
template <class... Args> auto operator()(Args &&...args) const { return f(*this, forward<Args>(args)...); }};
//constexpr int mod = 998244353;
constexpr int mod = 1000000007;
#line 1 "library/data-structure/unionfind.hpp"
struct unionfind {
public:
unionfind() : _n(0) {}
explicit unionfind(int n) : _n(n), parent_or_size(n, -1) {}
int merge(int a, int b) {
assert(0 <= a && a < _n);
assert(0 <= b && b < _n);
int x = find(a), y = find(b);
if (x == y) return x;
if (-parent_or_size[x] < -parent_or_size[y]) swap(x, y);
parent_or_size[x] += parent_or_size[y];
parent_or_size[y] = x;
return x;
}
bool same(int a, int b) {
assert(0 <= a && a < _n);
assert(0 <= b && b < _n);
return find(a) == find(b);
}
int find(int a) {
assert(0 <= a && a < _n);
if (parent_or_size[a] < 0) return a;
return parent_or_size[a] = find(parent_or_size[a]);
}
int size(int a) {
assert(0 <= a && a < _n);
return -parent_or_size[find(a)];
}
vector<vector<int>> groups() {
vector<int> leader_buf(_n), group_size(_n);
for (int i = 0; i < _n; i++) {
leader_buf[i] = find(i);
group_size[leader_buf[i]]++;
}
vector<vector<int>> result(_n);
for (int i = 0; i < _n; i++) {
result[i].reserve(group_size[i]);
}
for (int i = 0; i < _n; i++) {
result[leader_buf[i]].push_back(i);
}
result.erase(
remove_if(result.begin(), result.end(),
[&](const vector<int>& v) { return v.empty(); }),
result.end());
return result;
}
private:
int _n;
// root node: -1 * component size
// otherwise: parent
vector<int> parent_or_size;
};
#line 2 "library/graph/graph-template.hpp"
template <typename T>
struct Edge {
int from, to;
T cost;
Edge() = default;
Edge(int _to, T _cost) : from(-1), to(_to), cost(_cost) {}
Edge(int _from, int _to, T _cost) : from(_from), to(_to), cost(_cost) {}
bool operator < (const Edge &a) const { return cost < a.cost; }
bool operator > (const Edge &a) const { return cost > a.cost; }
Edge &operator = (const int &x) {
to = x;
return *this;
}
operator int() const { return to; }
friend ostream operator<<(ostream &os, Edge &edge) { return os << edge.to; }
};
template <typename T>
using Edges = vector<Edge<T>>;
template <typename T>
using Wgraph = vector<Edges<T>>;
using Ugraph = vector<vector<int>>;
Ugraph uinput(int N, int M = -1, bool is_directed = false, int origin = 1) {
Ugraph g(N);
if (M == -1) M = N - 1;
while(M--) {
int a,b;
cin >> a >> b;
a -= origin, b -= origin;
g[a].push_back(b);
if(!is_directed) g[b].push_back(a);
}
return g;
}
template <typename T>
Wgraph<T> winput(int N, int M = -1, bool is_directed = false,int origin = 1) {
Wgraph<T> g(N);
if (M == -1) M = N - 1;
while(M--) {
int a,b;
T c;
cin >> a >> b >> c;
a -= origin, b -= origin;
g[a].emplace_back(b,c);
if(!is_directed) g[b].emplace_back(a,c);
}
return g;
}
#line 3 "library/tree/HLD.hpp"
template <typename G>
struct HLD {
private:
void dfs_sz(int cur) {
size[cur] = 1;
for (auto &dst:g[cur]) {
if (dst == par[cur]) {
if (g[cur].size() >= 2 && int(dst) == int(g[cur][0]))
swap(g[cur][0],g[cur][1]);
else continue;
}
depth[dst] = depth[cur] + 1;
par[dst] = cur;
dfs_sz(dst);
size[cur] += size[dst];
if (size[dst] > size[g[cur][0]]) {
swap(dst,g[cur][0]);
}
}
}
void dfs_hld(int cur) {
down[cur] = id++;
for (auto dst:g[cur]) {
if (dst == par[cur]) continue;
nxt[dst] = (int(dst) == int(g[cur][0]) ? nxt[cur] : int(dst));
dfs_hld(dst);
}
up[cur] = id;
}
public:
// [u, v)
vector<pair<int,int>> ascend(int u,int v) const {
vector<pair<int,int>> res;
while (nxt[u] != nxt[v]) {
res.emplace_back(down[u],down[nxt[u]]);
u = par[nxt[u]];
}
if (u != v) res.emplace_back(down[u],down[v] + 1);
return res;
}
// (u, v]
vector<pair<int,int>> descend(int u,int v) const {
if (u == v) return {};
if (nxt[u] == nxt[v]) return {{down[u] + 1,down[v]}};
auto res = descend(u,par[nxt[v]]);
res.emplace_back(down[nxt[v]],down[v]);
return res;
}
G& g;
int id;
vector<int> size,depth,down,up,nxt,par;
HLD(G& _g,int root = 0)
: g(_g),
id(0),
size(g.size(),0),
depth(g.size(),0),
down(g.size(),-1),
up(g.size(),-1),
nxt(g.size(),root),
par(g.size(),root) {
dfs_sz(root);
dfs_hld(root);
}
void build(int root) {
dfs_sz(root);
dfs_hld(root);
}
pair<int,int> idx(int i) const {return make_pair(down[i], up[i]);}
template <typename F>
void path_query(int u,int v,bool vertex,const F& f) {
int l = lca(u,v);
for (auto &&[a,b] : ascend(u,l)) {
int s = a + 1, t = b;
s > t ? f(t,s) : f(s,t);
}
if (vertex) f(down[l], down[l] + 1);
for (auto &&[a,b] : descend(l,v)) {
int s = a,t = b + 1;
s > t ? f(t,s) : f(s,t);
}
}
template <typename F>
void path_noncommutative_query(int u,int v,bool vertex,const F& f) {
int l = lca(u,v);
for(auto &&[a,b]:ascend(u,l)) f(a + 1,b);
if(vertex) f(down[l],down[l] + 1);
for(auto &&[a,b]:descend(l,v)) f(a,b + 1);
}
template <typename F>
void subtree_query(int u,bool vertex,const F& f) {
f(down[u] + int(!vertex), up[u]);
}
int lca(int a,int b) {
while (nxt[a] != nxt[b]) {
if (down[a] < down[b]) swap(a, b);
a = par[nxt[a]];
}
return depth[a] < depth[b] ? a : b;
}
int dist(int a,int b) {return depth[a] + depth[b] - depth[lca(a, b)] * 2;}
};
#line 2 "library/segtree/segtree.hpp"
template <typename T, typename OP>
struct segtree {
int N;
int size;
vector<T> seg;
const OP op;
const T I;
segtree(OP _op, const T &I_) : N(0), size(0), op(_op), I(I_) {}
segtree(int _N, OP _op, const T &I_) : op(_op), I(I_) { init(_N); }
segtree(const vector<T> &v, OP _op, T I_) : op(_op), I(I_) {
init(v.size());
for (int i = 0; i < (int)v.size(); i++) {
seg[i + size] = v[i];
}
build();
}
void init(int _N) {
N = _N;
size = 1;
while (size < N) size <<= 1;
seg.assign(2 * size, I);
}
void build() {
for (int k = size - 1; k > 0; k--) {
seg[k] = op(seg[2 * k], seg[2 * k + 1]);
}
}
void set(int p, T x) {
assert(0 <= p && p < N);
p += size;
seg[p] = x;
while (p >>= 1) {
seg[p] = op(seg[2 * p], seg[2 * p + 1]);
}
}
void add(int p, T x) {
assert(0 <= p && p < N);
p += size;
seg[p] += x;
while (p >>= 1) {
seg[p] = op(seg[2 * p], seg[2 * p + 1]);
}
}
T get(int p) const {
assert(0 <= p && p < N);
return seg[p + size];
}
// query to [l, r)
T prod(int l, int r) {
assert(0 <= l && l <= r && r <= N);
T L = I, R = I;
for (l += size, r += size; l < r; l >>= 1, r >>= 1) {
if (l & 1) L = op(L, seg[l++]);
if (r & 1) R = op(seg[--r], R);
}
return op(L, R);
}
T all_prod() {return seg[1];}
// check(a[l] * ... * a[r-1]) が true となる最大の r
// (右端まですべて true なら N を返す)
template <class C>
int max_right(int l, C check) {
assert(0 <= l && l <= N);
assert(check(I) == true);
if (l == N) return N;
l += size;
T sm = I;
do {
while (l % 2 == 0) l >>= 1;
if (!check(op(sm, seg[l]))) {
while (l < size) {
l = (2 * l);
if (check(op(sm, seg[l]))) {
sm = op(sm, seg[l]);
l++;
}
}
return l - size;
}
sm = op(sm, seg[l]);
l++;
} while ((l & -l) != l);
return N;
}
// check(a[l] * ... * a[r-1]) が true となる最小の l
// (左端まで true なら 0 を返す)
template <typename C>
int min_left(int r, C check) {
assert(0 <= r && r <= N);
assert(check(I) == true);
if (r == 0) return 0;
r += size;
T sm = I;
do {
r--;
while (r > 1 && (r % 2)) r >>= 1;
if (!check(op(seg[r], sm))) {
while (r < size) {
r = (2 * r + 1);
if (check(op(seg[r], sm))) {
sm = op(seg[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(seg[r], sm);
} while ((r & -r) != r);
return 0;
}
};
#line 94 "main.cpp"
using T = int;
T op(T x,T y) {return max(x,y);}
T e() {return 0;}
int main() {
INT(n,k);
LL(c);
vector<tuple<int,int,int,int>> es;
rep(i,k) {
INT(u,v,w,p);
u--,v--;
es.emplace_back(u,v,w,p);
}
vi ord(k);
iota(all(ord),0);
sort(all(ord),[&](int x,int y){return get<2>(es[x]) < get<2>(es[y]);});
unionfind uf(n);
int ans = 0;
ll cost = 0;
Wgraph<int> g(n);
vi used(k);
rep(i,k) {
if(!uf.same(get<0>(es[ord[i]]),get<1>(es[ord[i]]))) {
chmax(ans,get<3>(es[ord[i]]));
cost += get<2>(es[ord[i]]);
uf.merge(get<0>(es[ord[i]]),get<1>(es[ord[i]]));
g[get<0>(es[ord[i]])].emplace_back(get<1>(es[ord[i]]),get<2>(es[ord[i]]));
g[get<1>(es[ord[i]])].emplace_back(get<0>(es[ord[i]]),get<2>(es[ord[i]]));
used[ord[i]] = 1;
}
}
if(cost > c) {
cout << -1 << '\n';
return 0;
}
HLD<Wgraph<int>> hld(g);
vi init(n);
auto dfs = REC([&](auto &&f,int now,int par) -> void {
for(auto &&nex:g[now]) {
if(nex != par) {
init[hld.idx(nex).first] = nex.cost;
f(nex,now);
}
}
});
dfs(0,-1);
segtree<int,decltype(&op)> seg(init,op,e());
int V = 0;
auto f = [&](int u,int v) {
chmax(V,seg.prod(u,v));
};
rep(i,k) {
if(!used[i]) {
V = 0;
hld.path_query(get<0>(es[i]),get<1>(es[i]),false,f);
if(cost - V + get<2>(es[i]) <= c) {
chmax(ans,get<3>(es[i]));
}
}
}
cout << ans << '\n';
}