#755638 (C++17) No.1911 Alternately Coloring

提出ソース

結果

問題	No.1911 Alternately Coloring
ユーザー	n_vip
提出日時	2022-04-22 22:57:39
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	610 ms / 4,000 ms
コード長	8,182 bytes
コンパイル時間	2,177 ms
コンパイル使用メモリ	158,468 KB
実行使用メモリ	5,376 KB
最終ジャッジ日時	2024-06-24 04:18:37
合計ジャッジ時間	13,301 ms
ジャッジサーバーID （参考情報）	judge1 / judge5

このコードへのチャレンジ
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テストケース

テストケース表示

入力	結果	実行時間実行使用メモリ
testcase_00	AC	2 ms 5,248 KB
testcase_01	AC	2 ms 5,376 KB
testcase_02	AC	2 ms 5,376 KB
testcase_03	AC	2 ms 5,376 KB
testcase_04	AC	2 ms 5,376 KB
testcase_05	AC	3 ms 5,376 KB
testcase_06	AC	538 ms 5,376 KB
testcase_07	AC	541 ms 5,376 KB
testcase_08	AC	444 ms 5,376 KB
testcase_09	AC	589 ms 5,376 KB
testcase_10	AC	610 ms 5,376 KB
testcase_11	AC	581 ms 5,376 KB
testcase_12	AC	553 ms 5,376 KB
testcase_13	AC	464 ms 5,376 KB
testcase_14	AC	392 ms 5,376 KB
testcase_15	AC	548 ms 5,376 KB
testcase_16	AC	551 ms 5,376 KB
testcase_17	AC	556 ms 5,376 KB
testcase_18	AC	396 ms 5,376 KB
testcase_19	AC	450 ms 5,376 KB
testcase_20	AC	508 ms 5,376 KB
testcase_21	AC	309 ms 5,376 KB
testcase_22	AC	583 ms 5,376 KB
testcase_23	AC	553 ms 5,376 KB
testcase_24	AC	3 ms 5,376 KB
testcase_25	AC	2 ms 5,376 KB
testcase_26	AC	2 ms 5,376 KB
testcase_27	AC	553 ms 5,376 KB
testcase_28	AC	185 ms 5,376 KB
testcase_29	AC	455 ms 5,376 KB
testcase_30	AC	2 ms 5,376 KB

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

raw source code

#include <string>
#include <vector>
#include<iostream>
#include<cstdio>
#include<cstdlib>
#include<stack>
#include<queue>
#include<cmath>
#include<algorithm>
#include<functional>
#include<list>
#include<deque>
#include<bitset>
#include<set>
#include<map>
#include<unordered_map>
#include<unordered_set>
#include<cstring>
#include<sstream>
#include<complex>
#include<iomanip>
#include<numeric>
#include<cassert>
#include<random>
#define X first
#define Y second
#define pb push_back
#define rep(X,Y) for (int X = 0;X < (int)(Y);++X)
#define reps(X,S,Y) for (int X = (int)(S);X < (int)(Y);++X)
#define rrep(X,Y) for (int X = (int)(Y)-1;X >=0;--X)
#define rreps(X,S,Y) for (int X = (int)(Y)-1;X >= (int)(S);--X)
#define repe(X,Y) for (X = 0;X < (Y);++X)
#define peat(X,Y) for (;X < (Y);++X)
#define all(X) X.begin(),X.end()
#define rall(X) X.rbegin(),X.rend()
#define eb emplace_back
#define UNIQUE(X) X.erase(unique(all(X)),X.end())
#define Endl endl
#define NL <<"\n"
#define cauto const auto

using namespace std;
using ll=long long;
using pii=pair<int,int>;
using pll=pair<ll,ll>;
template<class T> using vv=vector<vector<T>>;
template<class T> inline bool MX(T &l,const T &r){return l<r?l=r,1:0;}
template<class T> inline bool MN(T &l,const T &r){return l>r?l=r,1:0;}
//#undef NUIP
#ifdef NUIP
#include "benri.h"
#else
#define out(args...)
#endif
void ouT(ll x,int d=3){auto re=to_string(x);if((int)re.size()>d) re=x>0?"oo":"-oo";cout<<string(d-re.size(),' ')<<re<<",";}
#ifdef __cpp_init_captures
template<typename T>vector<T> table(int n, T v){ return vector<T>(n, v);}
template <class... Args> auto table(int n, Args... args){auto val = table(args...); return vector<decltype(val)>(n, move(val));}
#endif
template<class A,class B> pair<A,B> operator+(const pair<A,B> &p,const pair<A,B> &q){ return {p.X+q.X,p.Y+q.Y};}
template<class A,class B,class C,class D> pair<A,B>& operator+=(pair<A,B> &p,const pair<C,D> &q){ p.X+=q.X; p.Y+=q.Y; return p;}
template<class A,class B> pair<A,B> operator-(const pair<A,B> &p,const pair<A,B> &q){ return {p.X-q.X,p.Y-q.Y};}
template<class A,class B,class C,class D> pair<A,B>& operator-=(pair<A,B> &p,const pair<C,D> &q){ p.X-=q.X; p.Y-=q.Y; return p;}
template<class A,class B> istream& operator>>(istream &is, pair<A,B> &p){ is>>p.X>>p.Y; return is;}
template<class T=ll> T read(){ T re; cin>>re; return re;}
template<class T=ll> T read(const T &dec){ T re; cin>>re; return re-dec;}
template<class T=ll> vector<T> readV(const int sz){ vector<T> re(sz); for(auto &x:re) x=read<T>(); return re;}
template<class T=ll> vector<T> readV(const int sz, const T &dec){ vector<T> re(sz); for(auto &x:re) x=read<T>(dec); return re;}
vv<int> readG(const int &n,const int &m){ vv<int> g(n); rep(_,m){ cauto a=read<int>(1),b=read<int>(1); g[a].pb(b); g[b].pb(a);} return g;}
vv<int> readG(const int &n){ return readG(n,n-1);}
vv<int> readD(const int &n,const int &m){ vv<int> g(n); rep(_,m){ cauto a=read<int>(1),b=read<int>(1); g[a].pb(b); } return g;}
vv<int> readD(const int &n){ return readD(n,n-1);}
template<class T> vv<pair<int,T>> readG(const int &n,const int &m){ vv<pair<int,T>> g(n); rep(_,m){ cauto a=read<int>(1),b=read<int>(1); cauto c=read<T>(); g[a].eb(b,c); g[b].eb(a,c);} return g;}
template<class T> vv<pair<int,T>> readG(const int &n){ return readG<T>(n,n-1);}
template<class T> vv<pair<int,T>> readD(const int &n,const int &m){ vv<pair<int,T>> g(n); rep(_,m){ cauto a=read<int>(1),b=read<int>(1); cauto c=read<T>(); g[a].eb(b,c); } return g;}
template<class T> vv<pair<int,T>> readD(const int &n){ return readD<T>(n,n-1);}
#ifdef __cpp_deduction_guides
template<typename T> vector<T> readT(int n, T v){ return readV(n,v);}
template <class... Args> auto readT(int n, Args... args){ vector re(1,readT(args...));rep(_,n-1) re.eb(readT(args...));	return re;}
template<class Tuple, size_t... Is> void read_tuple_impl(istream &is, Tuple& t, index_sequence<Is...>){((is >> get<Is>(t)), ...);}
template<class... Args> auto& operator>>(istream &is, tuple<Args...>& t){ read_tuple_impl(is, t, index_sequence_for<Args...>{}); return is;}
template<class T> bool erase(multiset<T> &st, const T &v){if(cauto it=st.find(v); it==st.end()) return false; else{ st.erase(it); return true;}}
#endif
#ifdef __cpp_init_captures
template<typename T, size_t... Is> void addadd(T& t1, const T& t2, integer_sequence<size_t, Is...>){ cauto l = { (get<Is>(t1) += get<Is>(t2), 0)... }; (void)l;}
template <typename...T>tuple<T...>& operator += (tuple<T...>& lhs, const tuple<T...>& rhs){	addadd(lhs, rhs, index_sequence_for<T...>{});	return lhs;}
template <typename...T>tuple<T...> operator +(tuple<T...> lhs, const tuple<T...>& rhs){ return lhs += rhs;}
template<typename T, size_t... Is> void subsub(T& t1, const T& t2, integer_sequence<size_t, Is...>){ cauto l = { (get<Is>(t1) -= get<Is>(t2), 0)... }; (void)l;}
template <typename...T>tuple<T...>& operator -= (tuple<T...>& lhs, const tuple<T...>& rhs){	subsub(lhs, rhs, index_sequence_for<T...>{});	return lhs;}
template <typename...T>tuple<T...> operator - (tuple<T...> lhs, const tuple<T...>& rhs){ return lhs -= rhs;}
#endif
#define TT cauto TTT=read();rep(_,TTT)
struct sorted_impl{template<class T>friend vector<T>operator-(vector<T>a,sorted_impl){sort(all(a));return a;}friend string operator-(string a,sorted_impl){sort(all(a));return a;}}sorted;struct reversed_impl{template<class T>friend vector<T>operator-(vector<T> a,reversed_impl){reverse(all(a));return a;}friend string operator-(string a,reversed_impl){reverse(all(a));return a;}}reversed;struct distinct_impl{template<class T>friend vector<T>operator-(vector<T> a,distinct_impl){sort(all(a));UNIQUE(a);return a;}}distinct;template<class S>struct sortedWith{const S f;sortedWith(const S &f):f(f){}template<class T>friend vector<T>operator-(vector<T> a,const sortedWith&b){sort(all(a),[&](cauto&i,cauto&j){return b.f(i)<b.f(j);});return a;}};
template<class T>int operator/(const T&v,const vector<T>&vs){return lower_bound(all(vs),v)-vs.begin();}
vector<int> Inds(const int n){vector<int> inds(n);iota(all(inds),0);return inds;}
const ll MOD=1e9+7; //998244353;

const ll INF=1e15;

template<class T,class G>
void dij(const vv<pair<G,T>> &g,int s,vector<T> &d){
  typedef pair<T,G> Que;
  priority_queue<Que,vector<Que>,greater<Que> > que;
  int n=g.size();
  d.resize(n);
  fill(all(d),INF);
  d[s]=0;
  que.emplace(0,s);
  while(que.size()){
    Que p=que.top();que.pop();
    if(d[p.Y]<p.X)continue;
    for(auto e:g[p.Y]) if(MN(d[e.X],d[p.Y]+e.Y)) que.emplace(d[e.X],e.X);
  }
}

struct UF{
  vector<int> data;
  UF(const int &size):data(size,-1){}
  int unite(int x, int y){
    x=root(x); y=root(y);
    if(x==y) return 0;
		if(-data[y]>-data[x]) swap(x,y);
		data[x]+=data[y]; data[y]=x;
    return y+1;
  }
  bool findSet(const int &x, const int &y){ return root(x)==root(y);}
  int root(const int &x){ return data[x]<0?x:data[x]=root(data[x]);}
  int size(const int &x){ return -data[root(x)];}
	int size(){ return count_if(all(data),[](const int &x){ return x<0;});}; //unverified
	int operator()(const int &x, const int &y){ return unite(x,y);}
	// int operator()(const pii &xy){ return unite(xy.X,xy.Y);}
	int operator[](const int &x){ return root(x);}
	bool operator[](const pii &xy){ return findSet(xy.X,xy.Y);}
};

int main(){
	ios_base::sync_with_stdio(false); cin.tie(0);
	cout<<fixed<<setprecision(0);
	cauto n=read(0);
	cauto m=read(0);
	cauto es=readV(m,pii(1,1));
	cauto rs=readV(n);
	cauto bs=readV(n);
	UF uf(n+n);
	for(cauto &[u,v]:es){
		uf(u,v+n);
		uf(v,u+n);
	}
	bool bip=true;
	rep(v,n)if(uf[{v,v+n}]) bip=false;
	if(bip){
		ll re=0;
		for(cauto rt:{0,n}){
			ll sum=0;
			rep(v,n) sum+=(uf[{rt,v}]?rs:bs)[v];
			MX(re,sum);
		}
		cout<<re NL;
		return 0;
	}
	ll sum=0;
	rep(i,n) sum+=max(rs[i],bs[i]);
	ll re=sum;
	rep(e,m){
		vv<pair<int,ll>> g(n+n);
		rep(d,m)if(d!=e){
			auto [u,v]=es[d];
			rep(_,2){
				g[u*2].eb(v*2+1,max(rs[v],bs[v])-rs[v]);
				g[u*2+1].eb(v*2,max(rs[v],bs[v])-bs[v]);
				swap(u,v);
			}
		}
		cauto &[u,v]=es[e];
		vector<ll> d;
		dij(g,u*2+0,d);
		MN(re,d[v*2+0]+max(rs[u],bs[u])-bs[u]);
		dij(g,u*2+1,d);
		MN(re,d[v*2+1]+max(rs[u],bs[u])-rs[u]);
	}
	cout<<sum-re NL;
	return 0;
}

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結果

テストケース

ソースコード