結果

問題 No.2642 Don't cut line!
ユーザー 👑 Nachia
提出日時 2024-02-19 23:07:41
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 77 ms / 4,000 ms
コード長 22,169 bytes
コンパイル時間 1,923 ms
コンパイル使用メモリ 137,404 KB
最終ジャッジ日時 2025-02-19 17:35:39
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 * 3
other AC * 33
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

#ifdef NACHIA
#define _GLIBCXX_DEBUG
#else
#define NDEBUG
#endif
#include <iostream>
#include <string>
#include <vector>
#include <algorithm>
#include <utility>
#include <queue>
#include <array>
#include <cmath>
#include <atcoder/modint>
using i64 = long long;
using u64 = unsigned long long;
#define rep(i,n) for(i64 i=0; i<(i64)(n); i++)
#define repr(i,n) for(i64 i=(i64)(n)-1; i>=0; i--)
const i64 INF = 1001001001001001001;
const char* yn(bool x){ return x ? "Yes" : "No"; }
template<typename A> void chmin(A& l, const A& r){ if(r < l) l = r; }
template<typename A> void chmax(A& l, const A& r){ if(l < r) l = r; }
template<typename A> using nega_queue = std::priority_queue<A,std::vector<A>,std::greater<A>>;
using Modint = atcoder::static_modint<998244353>;
#include <iterator>
#include <functional>
template<class Elem> struct vec;
template<class Iter>
struct seq_view{
using Ref = typename std::iterator_traits<Iter>::reference;
using Elem = typename std::iterator_traits<Iter>::value_type;
Iter a, b;
Iter begin() const { return a; }
Iter end() const { return b; }
int size() const { return (int)(b-a); }
seq_view(Iter first, Iter last) : a(first), b(last) {}
seq_view sort() const { std::sort(a, b); return *this; }
Ref& operator[](int x){ return *(a+x); }
template<class F = std::less<Elem>, class ret = vec<int>> ret sorti(F f = F()) const {
ret x(size()); for(int i=0; i<size(); i++) x[i] = i;
x().sort([&](int l, int r){ return f(a[l],a[r]); });
return x;
}
template<class ret = vec<Elem>> ret col() const { return ret(begin(), end()); }
template<class F = std::equal_to<Elem>, class ret = vec<std::pair<Elem, int>>>
ret rle(F eq = F()) const {
auto x = ret();
for(auto& a : (*this)){
if(x.size() == 0 || !eq(x[x.size()-1].first, a)) x.emp(a, 1); else x[x.size()-1].second++;
} return x;
}
template<class F> seq_view sort(F f) const { std::sort(a, b, f); return *this; }
Iter uni() const { return std::unique(a, b); }
Iter lb(const Elem& x) const { return std::lower_bound(a, b, x); }
Iter ub(const Elem& x) const { return std::upper_bound(a, b, x); }
int lbi(const Elem& x) const { return lb(x) - a; }
int ubi(const Elem& x) const { return ub(x) - a; }
seq_view bound(const Elem& l, const Elem& r) const { return { lb(l), lb(r) }; }
template<class F> Iter lb(const Elem& x, F f) const { return std::lower_bound(a, b, x, f); }
template<class F> Iter ub(const Elem& x, F f) const { return std::upper_bound(a, b, x, f); }
template<class F> Iter when_true_to_false(F f) const {
if(a == b) return a;
return std::lower_bound(a, b, *a,
[&](const Elem& x, const Elem&){ return f(x); });
}
seq_view same(Elem x) const { return { lb(x), ub(x) }; }
template<class F> auto map(F f) const {
vec<typename Iter::value_type> r;
for(auto& x : *this) r.emp(f(x));
return r;
}
Iter max() const { return std::max_element(a, b); }
Iter min() const { return std::min_element(a, b); }
template<class F = std::less<Elem>>
Iter min(F f) const { return std::min_element(a, b, f); }
seq_view rev() const { std::reverse(a, b); return *this; }
};
template<class Elem>
struct vec {
using Base = typename std::vector<Elem>;
using Iter = typename Base::iterator;
using CIter = typename Base::const_iterator;
using View = seq_view<Iter>;
using CView = seq_view<CIter>;
vec(){}
explicit vec(int n, const Elem& value = Elem()) : a(0<n?n:0, value) {}
template <class I2> vec(I2 first, I2 last) : a(first, last) {}
vec(std::initializer_list<Elem> il) : a(std::move(il)) {}
vec(Base b) : a(std::move(b)) {}
operator Base() const { return a; }
Iter begin(){ return a.begin(); }
CIter begin() const { return a.begin(); }
Iter end(){ return a.end(); }
CIter end() const { return a.end(); }
int size() const { return a.size(); }
bool empty() const { return a.empty(); }
Elem& back(){ return a.back(); }
const Elem& back() const { return a.back(); }
vec sortunied(){ vec x = *this; x().sort(); x.a.erase(x().uni(), x.end()); return x; }
Iter operator()(int x){ return a.begin() + x; }
CIter operator()(int x) const { return a.begin() + x; }
View operator()(int l, int r){ return { (*this)(l), (*this)(r) }; }
CView operator()(int l, int r) const { return { (*this)(l), (*this)(r) }; }
View operator()(){ return (*this)(0,size()); }
CView operator()() const { return (*this)(0,size()); }
Elem& operator[](int x){ return a[x]; }
const Elem& operator[](int x) const { return a[x]; }
Base& operator*(){ return a; }
const Base& operator*() const { return a; }
vec& push(Elem args){
a.push_back(std::move(args));
return *this;
}
template<class... Args>
vec& emp(Args &&... args){
a.emplace_back(std::forward<Args>(args) ...);
return *this;
}
template<class Range>
vec& app(Range& x){ for(auto& v : a) emp(v); }
Elem pop(){
Elem x = std::move(a.back());
a.pop_back(); return x;
}
bool operator==(const vec& r) const { return a == r.a; }
bool operator!=(const vec& r) const { return a != r.a; }
bool operator<(const vec& r) const { return a < r.a; }
bool operator<=(const vec& r) const { return a <= r.a; }
bool operator>(const vec& r) const { return a > r.a; }
bool operator>=(const vec& r) const { return a >= r.a; }
vec<vec<Elem>> pile(int n) const { return vec<vec<Elem>>(n, *this); }
template<class F> vec& filter(F f){
int p = 0;
for(int q=0; q<size(); q++) if(f(a[q])) std::swap(a[p++],a[q]);
a.resize(p); return *this;
}
private: Base a;
};
template<class IStr, class U, class T>
IStr& operator>>(IStr& is, vec<std::pair<U,T>>& v){ for(auto& x:v){ is >> x.first >> x.second; } return is; }
template<class IStr, class T>
IStr& operator>>(IStr& is, vec<T>& v){ for(auto& x:v){ is >> x; } return is; }
template<class OStr, class T>
OStr& operator<<(OStr& os, const vec<T>& v){
for(int i=0; i<v.size(); i++){
if(i){ os << ' '; } os << v[i];
} return os;
}
template<class OStr, class U, class T>
OStr& operator<<(OStr& os, const vec<std::pair<U,T>>& v){
for(int i=0; i<v.size(); i++){
if(i){ os << ' '; } os << '(' << v[i].first << ',' << v[i].second << ')';
} return os;
}
#include <atcoder/dsu>
#include <cassert>
namespace nachia{
template<class Elem>
class CsrArray{
public:
struct ListRange{
using iterator = typename std::vector<Elem>::iterator;
iterator begi, endi;
iterator begin() const { return begi; }
iterator end() const { return endi; }
int size() const { return (int)std::distance(begi, endi); }
Elem& operator[](int i) const { return begi[i]; }
};
struct ConstListRange{
using iterator = typename std::vector<Elem>::const_iterator;
iterator begi, endi;
iterator begin() const { return begi; }
iterator end() const { return endi; }
int size() const { return (int)std::distance(begi, endi); }
const Elem& operator[](int i) const { return begi[i]; }
};
private:
int m_n;
std::vector<Elem> m_list;
std::vector<int> m_pos;
public:
CsrArray() : m_n(0), m_list(), m_pos() {}
static CsrArray Construct(int n, std::vector<std::pair<int, Elem>> items){
CsrArray res;
res.m_n = n;
std::vector<int> buf(n+1, 0);
for(auto& [u,v] : items){ ++buf[u]; }
for(int i=1; i<=n; i++) buf[i] += buf[i-1];
res.m_list.resize(buf[n]);
for(int i=(int)items.size()-1; i>=0; i--){
res.m_list[--buf[items[i].first]] = std::move(items[i].second);
}
res.m_pos = std::move(buf);
return res;
}
static CsrArray FromRaw(std::vector<Elem> list, std::vector<int> pos){
CsrArray res;
res.m_n = pos.size() - 1;
res.m_list = std::move(list);
res.m_pos = std::move(pos);
return res;
}
ListRange operator[](int u) { return ListRange{ m_list.begin() + m_pos[u], m_list.begin() + m_pos[u+1] }; }
ConstListRange operator[](int u) const { return ConstListRange{ m_list.begin() + m_pos[u], m_list.begin() + m_pos[u+1] }; }
int size() const { return m_n; }
int fullSize() const { return (int)m_list.size(); }
};
} // namespace nachia
namespace nachia{
struct Graph {
public:
struct Edge{
int from, to;
void reverse(){ std::swap(from, to); }
int xorval() const { return from ^ to; }
};
Graph(int n = 0, bool undirected = false, int m = 0) : m_n(n), m_e(m), m_isUndir(undirected) {}
Graph(int n, const std::vector<std::pair<int, int>>& edges, bool undirected = false) : m_n(n), m_isUndir(undirected){
m_e.resize(edges.size());
for(std::size_t i=0; i<edges.size(); i++) m_e[i] = { edges[i].first, edges[i].second };
}
template<class Cin>
static Graph Input(Cin& cin, int n, bool undirected, int m, bool offset = 0){
Graph res(n, undirected, m);
for(int i=0; i<m; i++){
int u, v; cin >> u >> v;
res[i].from = u - offset;
res[i].to = v - offset;
}
return res;
}
int numVertices() const noexcept { return m_n; }
int numEdges() const noexcept { return int(m_e.size()); }
int addNode() noexcept { return m_n++; }
int addEdge(int from, int to){ m_e.push_back({ from, to }); return numEdges() - 1; }
Edge& operator[](int ei) noexcept { return m_e[ei]; }
const Edge& operator[](int ei) const noexcept { return m_e[ei]; }
Edge& at(int ei) { return m_e.at(ei); }
const Edge& at(int ei) const { return m_e.at(ei); }
auto begin(){ return m_e.begin(); }
auto end(){ return m_e.end(); }
auto begin() const { return m_e.begin(); }
auto end() const { return m_e.end(); }
bool isUndirected() const noexcept { return m_isUndir; }
void reverseEdges() noexcept { for(auto& e : m_e) e.reverse(); }
void contract(int newV, const std::vector<int>& mapping){
assert(numVertices() == int(mapping.size()));
for(int i=0; i<numVertices(); i++) assert(0 <= mapping[i] && mapping[i] < newV);
for(auto& e : m_e){ e.from = mapping[e.from]; e.to = mapping[e.to]; }
m_n = newV;
}
std::vector<Graph> induce(int num, const std::vector<int>& mapping) const {
int n = numVertices();
assert(n == int(mapping.size()));
for(int i=0; i<n; i++) assert(-1 <= mapping[i] && mapping[i] < num);
std::vector<int> indexV(n), newV(num);
for(int i=0; i<n; i++) if(mapping[i] >= 0) indexV[i] = newV[mapping[i]]++;
std::vector<Graph> res; res.reserve(num);
for(int i=0; i<num; i++) res.emplace_back(newV[i], isUndirected());
for(auto e : m_e) if(mapping[e.from] == mapping[e.to] && mapping[e.to] >= 0) res[mapping[e.to]].addEdge(indexV[e.from], indexV[e.to]);
return res;
}
CsrArray<int> getEdgeIndexArray(bool undirected) const {
std::vector<std::pair<int, int>> src;
src.reserve(numEdges() * (undirected ? 2 : 1));
for(int i=0; i<numEdges(); i++){
auto e = operator[](i);
src.emplace_back(e.from, i);
if(undirected) src.emplace_back(e.to, i);
}
return CsrArray<int>::Construct(numVertices(), src);
}
CsrArray<int> getEdgeIndexArray() const { return getEdgeIndexArray(isUndirected()); }
CsrArray<int> getAdjacencyArray(bool undirected) const {
std::vector<std::pair<int, int>> src;
src.reserve(numEdges() * (undirected ? 2 : 1));
for(auto e : m_e){
src.emplace_back(e.from, e.to);
if(undirected) src.emplace_back(e.to, e.from);
}
return CsrArray<int>::Construct(numVertices(), src);
}
CsrArray<int> getAdjacencyArray() const { return getAdjacencyArray(isUndirected()); }
private:
int m_n;
std::vector<Edge> m_e;
bool m_isUndir;
};
} // namespace nachia
namespace nachia {
struct DsuFast{
private:
std::vector<int> w;
public:
DsuFast(int n = 0) : w(n, -1) {}
int leader(int u){
if(w[u] < 0) return u;
return w[u] = leader(w[u]);
}
int operator[](int u){ return leader(u); }
int merge(int u, int v){
u = leader(u);
v = leader(v);
if(u == v) return u;
if(-w[u] < -w[v]) std::swap(u, v);
w[u] += w[v];
w[v] = u;
return u;
}
int size(int u){ return -w[leader(u)]; }
bool same(int u, int v){ return leader(u) == leader(v); }
};
} // namespace nachia
namespace nachia{
std::vector<int> MinimumSpanningForestKnownPriority(
const nachia::Graph& graph,
const std::vector<int>& edgePriorityOrdered
){
int m = graph.numEdges();
auto dsu = nachia::DsuFast(graph.numVertices());
std::vector<int> ans;
for(int i=0; i<m; i++){
int e = edgePriorityOrdered[i];
int v = graph[e].from;
int w = graph[e].to;
if(dsu.same(v,w)) continue;
ans.push_back(e);
dsu.merge(v,w);
}
return ans;
}
template<class Weight>
std::vector<int> MinimumSpanningForest(
const nachia::Graph& graph,
const std::vector<Weight>& weight
){
int m = graph.numEdges();
std::vector<int> P(m);
for(int i=0; i<m; i++) P[i] = i;
std::sort(P.begin(), P.end(), [&](int l, int r){ return weight[l] < weight[r]; });
return MinimumSpanningForestKnownPriority(graph, P);
}
} // namespace nachia
namespace nachia{
struct HeavyLightDecomposition{
private:
int N;
std::vector<int> P;
std::vector<int> PP;
std::vector<int> PD;
std::vector<int> D;
std::vector<int> I;
std::vector<int> rangeL;
std::vector<int> rangeR;
public:
HeavyLightDecomposition(const CsrArray<int>& E = CsrArray<int>::Construct(1, {}), int root = 0){
N = E.size();
P.assign(N, -1);
I.assign(N, 0); I[0] = root;
int iI = 1;
for(int i=0; i<iI; i++){
int p = I[i];
for(int e : E[p]) if(P[p] != e){
I[iI++] = e;
P[e] = p;
}
}
std::vector<int> Z(N, 1);
std::vector<int> nx(N, -1);
PP.resize(N);
for(int i=0; i<N; i++) PP[i] = i;
for(int i=N-1; i>=1; i--){
int p = I[i];
Z[P[p]] += Z[p];
if(nx[P[p]] == -1) nx[P[p]] = p;
if(Z[nx[P[p]]] < Z[p]) nx[P[p]] = p;
}
for(int p : I) if(nx[p] != -1) PP[nx[p]] = p;
PD.assign(N,N);
PD[root] = 0;
D.assign(N,0);
for(int p : I) if(p != root){
PP[p] = PP[PP[p]];
PD[p] = std::min(PD[PP[p]], PD[P[p]]+1);
D[p] = D[P[p]]+1;
}
rangeL.assign(N,0);
rangeR.assign(N,0);
for(int p : I){
rangeR[p] = rangeL[p] + Z[p];
int ir = rangeR[p];
for(int e : E[p]) if(P[p] != e) if(e != nx[p]){
rangeL[e] = (ir -= Z[e]);
}
if(nx[p] != -1){
rangeL[nx[p]] = rangeL[p] + 1;
}
}
for(int i=0; i<N; i++) I[rangeL[i]] = i;
}
HeavyLightDecomposition(const Graph& tree, int root = 0)
: HeavyLightDecomposition(tree.getAdjacencyArray(true), root) {}
int numVertices() const { return N; }
int depth(int p) const { return D[p]; }
int toSeq(int vtx) const { return rangeL[vtx]; }
int toVtx(int seqidx) const { return I[seqidx]; }
int toSeq2In(int vtx) const { return rangeL[vtx] * 2 - D[vtx]; }
int toSeq2Out(int vtx) const { return rangeR[vtx] * 2 - D[vtx] - 1; }
int parentOf(int v) const { return P[v]; }
int heavyRootOf(int v) const { return PP[v]; }
int heavyChildOf(int v) const {
if(toSeq(v) == N-1) return -1;
int cand = toVtx(toSeq(v) + 1);
if(PP[v] == PP[cand]) return cand;
return -1;
}
int lca(int u, int v) const {
if(PD[u] < PD[v]) std::swap(u, v);
while(PD[u] > PD[v]) u = P[PP[u]];
while(PP[u] != PP[v]){ u = P[PP[u]]; v = P[PP[v]]; }
return (D[u] > D[v]) ? v : u;
}
int dist(int u, int v) const {
return depth(u) + depth(v) - depth(lca(u,v)) * 2;
}
struct Range{
int l; int r;
int size() const { return r-l; }
bool includes(int x) const { return l <= x && x < r; }
};
std::vector<Range> path(int r, int c, bool include_root = true, bool reverse_path = false) const {
if(PD[c] < PD[r]) return {};
std::vector<Range> res(PD[c]-PD[r]+1);
for(int i=0; i<(int)res.size()-1; i++){
res[i] = { rangeL[PP[c]], rangeL[c]+1 };
c = P[PP[c]];
}
if(PP[r] != PP[c] || D[r] > D[c]) return {};
res.back() = { rangeL[r]+(include_root?0:1), rangeL[c]+1 };
if(res.back().l == res.back().r) res.pop_back();
if(!reverse_path) std::reverse(res.begin(),res.end());
else for(auto& a : res) a = { N - a.r, N - a.l };
return res;
}
Range subtree(int p) const { return { rangeL[p], rangeR[p] }; }
int median(int x, int y, int z) const {
return lca(x,y) ^ lca(y,z) ^ lca(x,z);
}
int la(int from, int to, int d) const {
if(d < 0) return -1;
int g = lca(from,to);
int dist0 = D[from] - D[g] * 2 + D[to];
if(dist0 < d) return -1;
int p = from;
if(D[from] - D[g] < d){ p = to; d = dist0 - d; }
while(D[p] - D[PP[p]] < d){
d -= D[p] - D[PP[p]] + 1;
p = P[PP[p]];
}
return I[rangeL[p] - d];
}
struct ChildrenIterRange {
struct Iter {
const HeavyLightDecomposition& hld; int s;
int operator*() const { return hld.toVtx(s); }
Iter& operator++(){
s += hld.subtree(hld.I[s]).size();
return *this;
}
Iter operator++(int) const { auto a = *this; return ++a; }
bool operator==(Iter& r) const { return s == r.s; }
bool operator!=(Iter& r) const { return s != r.s; }
};
const HeavyLightDecomposition& hld; int v;
Iter begin() const { return { hld, hld.rangeL[v] + 1 }; }
Iter end() const { return { hld, hld.rangeR[v] }; }
};
ChildrenIterRange children(int v) const {
return ChildrenIterRange{ *this, v };
}
};
} // namespace nachia
namespace nachia{
int Popcount(unsigned long long c) noexcept {
#ifdef __GNUC__
return __builtin_popcountll(c);
#else
c = (c & (~0ull/3)) + ((c >> 1) & (~0ull/3));
c = (c & (~0ull/5)) + ((c >> 2) & (~0ull/5));
c = (c & (~0ull/17)) + ((c >> 4) & (~0ull/17));
c = (c * (~0ull/257)) >> 56;
return c;
#endif
}
// please ensure x != 0
int MsbIndex(unsigned long long x) noexcept {
#ifdef __GNUC__
return 63 - __builtin_clzll(x);
#else
using u64 = unsigned long long;
int q = (x >> 32) ? 32 : 0;
auto m = x >> q;
constexpr u64 hi = 0x8888'8888;
constexpr u64 mi = 0x1111'1111;
m = (((m | ~(hi - (m & ~hi))) & hi) * mi) >> 35;
m = (((m | ~(hi - (x & ~hi))) & hi) * mi) >> 31;
q += (m & 0xf) << 2;
q += 0x3333'3333'2222'1100 >> (((x >> q) & 0xf) << 2) & 0xf;
return q;
#endif
}
// please ensure x != 0
int LsbIndex(unsigned long long x) noexcept {
#ifdef __GNUC__
return __builtin_ctzll(x);
#else
return MsbIndex(x & -x);
#endif
}
}
namespace nachia{
template<class T, class CompT = std::less<T>>
struct RangeMin{
private:
std::vector<T> A;
std::vector<std::vector<int>> spa;
CompT comp;
int aminf(int a, int b) const { return comp(A[a], A[b]) ? a : b; }
public:
RangeMin() : comp() {}
RangeMin(std::vector<T> a, CompT compt)
: A(std::move(a))
, comp(std::move(compt))
{
int n = (int)A.size();
int logn = MsbIndex(n) + 1;
spa.resize(logn);
for(int d=0; d<logn; d++) spa[d].resize(n-(1<<d)+1);
for(int i=0; i<n; i++) spa[0][i] = i;
for(int d=0; d+1<logn; d++) for(int i=0; i<(int)spa[d+1].size(); i++){
spa[d+1][i] = aminf(spa[d][i], spa[d][i+(1<<d)]);
}
}
RangeMin(std::vector<T> a) : RangeMin(std::move(a), CompT()){}
int argmin(int l, int r) const {
assert(l < r);
int q = MsbIndex(r-l);
return aminf(spa[q][l], spa[q][r-(1<<q)]);
}
const T& min(int l, int r) const { return A[argmin(l,r)]; }
const T& get(int p) const { return A[p]; }
};
} // namespace nachia
using namespace std;
void testcase(){
i64 N, K, C; cin >> N >> K >> C;
vec<i64> W(K), P(K);
auto graph = nachia::Graph(N, true, K);
rep(i,K){
int u,v,w,p; cin >> u >> v >> w >> p; u--; v--;
graph[i] = {u,v}; W[i] = w; P[i] = p;
}
auto mst = nachia::MinimumSpanningForest(graph, *W);
if(int(mst.size()) != N-1) exit(1);
i64 mstcost = 0;
for(auto e : mst) mstcost += W[e];
if(mstcost > C){ cout << "-1\n"; return; }
auto tree = nachia::Graph(N, true);
for(auto e : mst) tree.addEdge(graph[e].from, graph[e].to);
auto hld = nachia::HeavyLightDecomposition(tree);
for(auto& e : tree) if(e.from != hld.parentOf(e.to)) e.reverse();
vec<i64> ew(N);
rep(i,N-1) ew[hld.toSeq(tree[i].to)] = -W[mst[i]];
auto rq = nachia::RangeMin<i64>(ew);
i64 ans = 0;
for(auto e : mst) chmax(ans, P[e]);
rep(k,K) if(ans < P[k]){
i64 mincost = INF;
auto [u,v] = graph[k];
auto g = hld.lca(u,v);
for(auto [l,r] : hld.path(g, u, false)) chmin(mincost, rq.min(l,r));
for(auto [l,r] : hld.path(g, v, false)) chmin(mincost, rq.min(l,r));
mincost += W[k] + mstcost;
if(mincost <= C) chmax(ans, P[k]);
}
cout << ans << '\n';
}
int main(){
ios::sync_with_stdio(false); cin.tie(nullptr);
#ifdef NACHIA
int T; cin >> T; for(int t=0; t<T; T!=++t?(cout<<'\n'),0:0)
#endif
testcase();
return 0;
}
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