#825439 (C++17) No.2163 LCA Sum Query

提出ソース

結果

問題	No.2163 LCA Sum Query
ユーザー	hotman78
提出日時	2022-12-13 14:45:01
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	2,140 ms / 6,000 ms
コード長	13,568 bytes
コンパイル時間	10,804 ms
コンパイル使用メモリ	341,972 KB
実行使用メモリ	44,608 KB
最終ジャッジ日時	2024-11-07 10:02:42
合計ジャッジ時間	44,236 ms
ジャッジサーバーID （参考情報）	judge5 / judge1

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	3 ms 5,248 KB
testcase_02	AC	4 ms 5,248 KB
testcase_03	AC	4 ms 5,248 KB
testcase_04	AC	5 ms 5,248 KB
testcase_05	AC	5 ms 5,248 KB
testcase_06	AC	3 ms 5,248 KB
testcase_07	AC	3 ms 5,248 KB
testcase_08	AC	4 ms 5,248 KB
testcase_09	AC	4 ms 5,248 KB
testcase_10	AC	5 ms 5,248 KB
testcase_11	AC	3 ms 5,248 KB
testcase_12	AC	597 ms 14,368 KB
testcase_13	AC	994 ms 31,248 KB
testcase_14	AC	723 ms 32,288 KB
testcase_15	AC	226 ms 8,272 KB
testcase_16	AC	591 ms 31,340 KB
testcase_17	AC	624 ms 21,528 KB
testcase_18	AC	380 ms 10,116 KB
testcase_19	AC	263 ms 8,356 KB
testcase_20	AC	66 ms 14,124 KB
testcase_21	AC	297 ms 17,536 KB
testcase_22	AC	1,477 ms 42,444 KB
testcase_23	AC	1,377 ms 42,324 KB
testcase_24	AC	1,419 ms 41,196 KB
testcase_25	AC	1,345 ms 41,176 KB
testcase_26	AC	2,071 ms 42,416 KB
testcase_27	AC	1,857 ms 42,288 KB
testcase_28	AC	2,140 ms 41,156 KB
testcase_29	AC	1,728 ms 41,160 KB
testcase_30	AC	753 ms 44,400 KB
testcase_31	AC	822 ms 44,608 KB
testcase_32	AC	790 ms 42,604 KB
testcase_33	AC	836 ms 43,136 KB
testcase_34	AC	947 ms 42,600 KB
testcase_35	AC	890 ms 42,624 KB
testcase_36	AC	911 ms 41,348 KB
testcase_37	AC	882 ms 41,388 KB
testcase_38	AC	922 ms 43,100 KB
testcase_39	AC	1,008 ms 43,144 KB
testcase_40	AC	979 ms 41,832 KB
testcase_41	AC	941 ms 42,160 KB

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

main.cpp:100:9: warning: #pragma once in main file
  100 | #pragma once
      |         ^~~~

ソースコード

raw source code

#include "testlib.h"
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("avx2")
#include<bits/stdc++.h>
using namespace std;
struct __INIT__{__INIT__(){cin.tie(0);ios::sync_with_stdio(false);cout<<fixed<<setprecision(15);}}__INIT__;
typedef long long lint;
#define INF (1LL<<60)
#define IINF (1<<30)
#define EPS (1e-10)
#define endl ('\n')
typedef vector<lint> vec;
typedef vector<vector<lint>> mat;
typedef vector<vector<vector<lint>>> mat3;
typedef vector<string> svec;
typedef vector<vector<string>> smat;
template<typename T>using V=vector<T>;
template<typename T>using VV=V<V<T>>;
template<typename T>inline void output(T t){bool f=0;for(auto i:t){cout<<(f?" ":"")<<i;f=1;}cout<<endl;}
template<typename T>inline void output2(T t){for(auto i:t)output(i);}
template<typename T>inline void debug(T t){
    #ifdef LOCAL
    bool f=0;for(auto i:t){cerr<<(f?" ":"")<<i;f=1;}cerr<<endl;
    #endif
}
template<typename T>inline void debug2(T t){for(auto i:t)debug(i);}
#define loop(n) for(long long _=0;_<(long long)(n);++_)
#define _overload4(_1,_2,_3,_4,name,...) name
#define __rep(i,a) repi(i,0,a,1)
#define _rep(i,a,b) repi(i,a,b,1)
#define repi(i,a,b,c) for(long long i=(long long)(a);i<(long long)(b);i+=c)
#define rep(...) _overload4(__VA_ARGS__,repi,_rep,__rep)(__VA_ARGS__)
#define _overload3_rev(_1,_2,_3,name,...) name
#define _rep_rev(i,a) repi_rev(i,0,a)
#define repi_rev(i,a,b) for(long long i=(long long)(b)-1;i>=(long long)(a);--i)
#define rrep(...) _overload3_rev(__VA_ARGS__,repi_rev,_rep_rev)(__VA_ARGS__)

// #define rep(i,...) for(auto i:range(__VA_ARGS__)) 
// #define rrep(i,...) for(auto i:reversed(range(__VA_ARGS__)))
// #define repi(i,a,b) for(lint i=lint(a);i<(lint)(b);++i)
// #define rrepi(i,a,b) for(lint i=lint(b)-1;i>=lint(a);--i)
// #define irep(i) for(lint i=0;;++i)
// inline vector<long long> range(long long n){if(n<=0)return vector<long long>();vector<long long>v(n);iota(v.begin(),v.end(),0LL);return v;}
// inline vector<long long> range(long long a,long long b){if(b<=a)return vector<long long>();vector<long long>v(b-a);iota(v.begin(),v.end(),a);return v;}
// inline vector<long long> range(long long a,long long b,long long c){if((b-a+c-1)/c<=0)return vector<long long>();vector<long long>v((b-a+c-1)/c);for(int i=0;i<(int)v.size();++i)v[i]=i?v[i-1]+c:a;return v;}
// template<typename T>inline T reversed(T v){reverse(v.begin(),v.end());return v;}
#define all(n) begin(n),end(n)
template<typename T,typename E>bool chmin(T& s,const E& t){bool res=s>t;s=min<T>(s,t);return res;}
template<typename T,typename E>bool chmax(T& s,const E& t){bool res=s<t;s=max<T>(s,t);return res;}
// const array<lint,8> dx={1,0,-1,0,1,1,-1,-1};
// const array<lint,8> dy={0,1,0,-1,1,-1,1,-1};
// const string ds="RDLU";
#define SUM(v) accumulate(all(v),0LL)
#if __cplusplus>=201703L
    template<typename T,typename ...Args>auto make_vector(T x,int arg,Args ...args){if constexpr(sizeof...(args)==0)return vector<T>(arg,x);else return vector(arg,make_vector<T>(x,args...));}
#endif
#define extrep(v,...) for(auto v:__MAKE_MAT__({__VA_ARGS__}))
#define bit(n,a) ((n>>a)&1)
vector<vector<long long>> __MAKE_MAT__(vector<long long> v){if(v.empty())return vector<vector<long long>>(1,vector<long long>());long long n=v.back();v.pop_back();vector<vector<long long>> ret;vector<vector<long long>> tmp=__MAKE_MAT__(v);for(auto e:tmp)for(long long i=0;i<n;++i){ret.push_back(e);ret.back().push_back(i);}return ret;}
using graph=vector<vector<int>>;
template<typename T>using graph_w=vector<vector<pair<int,T>>>;

#if __cplusplus>=201703L
    constexpr inline long long powll(long long a,long long b){long long res=1;while(b--)res*=a;return res;}
#endif

template<typename T,typename E>pair<T,E>& operator+=(pair<T,E>&s,const pair<T,E>&t){s.first+=t.first;s.second+=t.second;return s;}
template<typename T,typename E>pair<T,E>& operator-=(pair<T,E>&s,const pair<T,E>&t){s.first-=t.first;s.second-=t.second;return s;}
template<typename T,typename E>pair<T,E> operator+(const pair<T,E>&s,const pair<T,E>&t){auto res=s;return res+=t;}
template<typename T,typename E>pair<T,E> operator-(const pair<T,E>&s,const pair<T,E>&t){auto res=s;return res-=t;}
#define BEGIN_STACK_EXTEND(size) void * stack_extend_memory_ = malloc(size);void * stack_extend_origin_memory_;char * stack_extend_dummy_memory_ = (char*)alloca((1+(int)(((long long)stack_extend_memory_)&127))*16);*stack_extend_dummy_memory_ = 0;asm volatile("mov %%rsp, %%rbx\nmov %%rax, %%rsp":"=b"(stack_extend_origin_memory_):"a"((char*)stack_extend_memory_+(size)-1024));
#define END_STACK_EXTEND asm volatile("mov %%rax, %%rsp"::"a"(stack_extend_origin_memory_));free(stack_extend_memory_);

#include<vector>
#include<tuple>
#include<iostream>
/**
 * @brief グラフテンプレート
 */

using graph=std::vector<std::vector<int>>;
template<typename T>
using graph_w=std::vector<std::vector<std::pair<int,T>>>;

graph load_graph(int n,int m){graph g(n);for(int i=0;i<m;++i){int s,t;std::cin>>s>>t;--s;--t;g[s].push_back(t);g[t].push_back(s);}return g;}
graph load_digraph(int n,int m){graph g(n);for(int i=0;i<m;++i){int s,t;std::cin>>s>>t;--s;--t;g[s].push_back(t);}return g;}
graph load_graph0(int n,int m){graph g(n);for(int i=0;i<m;++i){int s,t;std::cin>>s>>t;g[s].push_back(t);g[t].push_back(s);}return g;}
graph load_digraph0(int n,int m){graph g(n);for(int i=0;i<m;++i){int s,t;std::cin>>s>>t;g[s].push_back(t);}return g;}
graph load_tree(int n){graph g(n);for(int i=0;i<n-1;++i){int s,t;std::cin>>s>>t;--s;--t;g[s].push_back(t);g[t].push_back(s);}return g;}
graph load_tree0(int n){graph g(n);for(int i=0;i<n-1;++i){int s,t;std::cin>>s>>t;g[s].push_back(t);g[t].push_back(s);}return g;}
graph load_treep(int n){graph g(n);for(int i=0;i<n-1;++i){int t;std::cin>>t;g[i+1].push_back(t);g[t].push_back(i+1);}return g;}
template<typename T>graph_w<T> load_graph_weight(int n,int m){graph_w<T> g(n);for(int i=0;i<m;++i){int s,t;T u;std::cin>>s>>t>>u;--s;--t;g[s].emplace_back(t,u);g[t].emplace_back(s,u);}return g;}
template<typename T>graph_w<T> load_digraph_weight(int n,int m){graph_w<T> g(n);for(int i=0;i<m;++i){int s,t;T u;std::cin>>s>>t>>u;--s;--t;g[s].emplace_back(t,u);}return g;}
template<typename T>graph_w<T> load_graph0_weight(int n,int m){graph_w<T> g(n);for(int i=0;i<m;++i){int s,t;T u;std::cin>>s>>t>>u;g[s].emplace_back(t,u);g[t].emplace_back(s,u);}return g;}
template<typename T>graph_w<T> load_digraph0_weight(int n,int m){graph_w<T> g(n);for(int i=0;i<m;++i){int s,t;T u;std::cin>>s>>t>>u;g[s].emplace_back(t,u);}return g;}
template<typename T>graph_w<T> load_tree_weight(int n){graph_w<T> g(n);for(int i=0;i<n-1;++i){int s,t;T u;std::cin>>s>>t>>u;--s;--t;g[s].emplace_back(t,u);g[t].emplace_back(s,u);}return g;}
template<typename T>graph_w<T> load_tree0_weight(int n){graph_w<T> g(n);for(int i=0;i<n-1;++i){int s,t;T u;std::cin>>s>>t>>u;g[s].emplace_back(t,u);g[t].emplace_back(s,u);}return g;}
template<typename T>graph_w<T> load_treep_weight(int n){graph_w<T> g(n);for(int i=0;i<n-1;++i){int t;T u;std::cin>>t>>u;g[i+1].emplace_back(t,u);g[t].emplace_back(i+1,u);}return g;}
#pragma once
#include<cassert>
#include<atcoder/lazysegtree.hpp>
#include<atcoder/dsu.hpp>
using namespace std;

template <class T,
          T (*F)(T, T),
          T (*TID)(),
          class E,
          T (*G)(E, T),
          E (*H)(E, E),
          E (*EID)()>
class HLD_lazy{
	int child_size(const  graph& v,int n,int p){
		int cnt=0;
		for(auto t:v[n]){
			if(t!=p)cnt+=child_size(v,t,n);
		}
		return sz[n]=cnt+1;
	}
	void make(const graph& v,int root){
		sz=new int[v.size()];
		vertex=new int[v.size()];
		par=new int[v.size()];
		head=new int[v.size()];
		heavy=new int[v.size()];
		child_size(v,root,-1);
		stack<tuple<int,int>>stk;
		stk.emplace(root,-1);
		int idx=0;
		par[root]=root;
		head[root]=root;
		while(!stk.empty()){
			int n,p;
			tie(n,p)=stk.top();
			stk.pop();
			vertex[n]=idx++;
			heavy[n]=-1;
			int mx=0;
			for(auto t:v[n])if(t!=p&&mx<sz[t]){
				mx=sz[t];
				heavy[n]=t;
			}
			for(auto t:v[n]){
				if(t!=heavy[n]&&t!=p){
					par[t]=n;
					head[t]=t;
					stk.emplace(t,n);
				}
			}
			if(heavy[n]!=-1){
				par[heavy[n]]=par[n];
				head[heavy[n]]=head[n];
				stk.emplace(heavy[n],n);
			}
		}
	}
	int* sz;
	int* vertex;
	int* par;
	int* head;
	int* heavy;
	atcoder::lazy_segtree<T,F,TID,E,G,H,EID>* seg;
	public:
	HLD_lazy(const graph& v,int root=0){
		make(v,root);
		seg=new atcoder::lazy_segtree<T,F,TID,E,G,H,EID>(v.size());
	}
	// HLD_lazy(const graph& v,const vector<T>& a,int root=0,F f=F(),G g=G(),H h=H()):_f(f),_g(g),_h(h){
	// 	vector<T>tmp(v.size());
	// 	make(v,root);
	// 	for(int i=0;i<(int)v.size();i++){
	// 		tmp[vertex[i]]=a[i];
	// 	}
	// 	seg=new lazy_segtree(tmp,f,g,h);
	// }
	// uからvに一つ進んだ点(vがuの子のときのみ)
	int next_u(int u,int v){
		while(1){
			if(par[v]==u){
				if(head[v]!=par[v]){
					return head[v];
				}else{
					return heavy[u];
				}
				
			}
			else if(sz[u]>sz[head[v]])v=par[v];
			else return heavy[u];
		}
	}
	int dist(int l,int r){
		int res=0;
		while(1){
			if(head[l]==head[r])return sz[l]>sz[r]?l:r;
			else if(sz[head[l]]>sz[head[r]])r=par[r];
			else l=par[l];
		}
	}

	int lca(int l,int r){
		while(1){
			if(head[l]==head[r])return sz[l]>sz[r]?l:r;
			else if(sz[head[l]]>sz[head[r]])r=par[r];
			else l=par[l];
		}
	}
	inline void update_vertex(int u,E x){
		update_seg(vertex[u],vertex[u],x);
	}
	inline T get_vertex(int u){
		return get_seg(vertex[u],vertex[u]);
	}
	inline void update_subtree(int u,E x){
		update_seg(vertex[u],vertex[u]+sz[u]-1,x);
	}
	inline T get_subtree(int u){
		return get_seg(vertex[u],vertex[u]+sz[u]-1);
	}
	T get_seg(int u,int v){
		if(u>v)swap(u,v);
		// cerr<<u<<" "<<v<<endl;
		return seg->prod(u,v+1);
	}
	void update_seg(int u,int v,E x){
		if(u>v)swap(u,v);
		seg->apply(u,v+1,x);
	}
	void update_path(int u,int v,E x){
		while(1){
			if(head[u]==head[v]){
				update_seg(vertex[u],vertex[v],x);
				break;
			}
			else if(sz[head[u]]>sz[head[v]]){
				update_seg(vertex[v],vertex[head[v]],x);
				v=par[v];
			}
			else{
				update_seg(vertex[u],vertex[head[u]],x);
				u=par[u];
			}
		}
	}
	T get_path(int u,int v){
		T res;
		while(1){
			if(head[u]==head[v]){
				return F(res,get_seg(vertex[u],vertex[v]));
			}
			else if(sz[head[u]]>sz[head[v]]){
				res=F(res,get_seg(vertex[v],vertex[head[v]]));
				v=par[v];
			}
			else{
				res=F(res,get_seg(vertex[u],vertex[head[u]]));
				u=par[u];
			}
		}
	}
};

using T=tuple<lint,lint,lint,int>;
using E=tuple<lint,lint,int>;
T F(T s,T t){
	auto [a,b,c,d]=s;
	auto [e,f,g,h]=t;
	return make_tuple(a+e,b+f,c+g,d+h);
};
T TID(){
	return make_tuple(0LL,0LL,0LL,0LL);
};
T G(E t,T s){
	auto [a,b,c,d]=s;
	auto [p,q,r]=t;
	d+=r;
	// cerr<<c<<a<<b<<p<<q<<c+a*q+b*p+p*q<<endl;
	return make_tuple(a+p*d,b+q*d,c+a*q+b*p+d*p*q,d);
}

E H(E s,E t){
	auto [a,b,c]=s;
	auto [p,q,r]=t;
	return make_tuple(a+p,b+q,c+r);
};

E EID(){
	return make_tuple(0LL,0LL,0LL);
};
int ZERO(){
	return 0;
};
int PLUS(int s,int t){
	return s+t;
};

int main(int argc, char* argv[]) {
    registerValidation(argc, argv);
	auto zero=make_tuple(0LL,0LL,0LL,0LL);
	int n=inf.readInt(1,50000,"n");
    inf.readSpace();
    int q=inf.readInt(1,100000,"q");
    inf.readEoln();
	vector<vector<int>>g(n);
    atcoder::dsu dsu(n);
	rep(i,n-1){
        int s=inf.readInt(1,n,"s");
        inf.readSpace();
        int t=inf.readInt(1,n,"t");
        inf.readEoln();
        inf.ensure(s!=t);
		s--;t--;
		g[s].emplace_back(t);
		g[t].emplace_back(s);
        dsu.merge(s,t);
	}
    inf.ensure((int)dsu.groups().size()==1);
	HLD_lazy<T,F,TID,E,G,H,EID>hld1(g),hld2(g);
	HLD_lazy<int,PLUS,ZERO,int,PLUS,PLUS,ZERO>sz(g),sum(g);
	vector<lint>par(n);
	par[0]=-1;
	auto dfs=[&](auto dfs,lint now,lint p)->void
	{
		for(auto e:g[now]){
			if(e==p)continue;
			par[e]=now;
			dfs(dfs,e,now);
		}
	};
	dfs(dfs,0,-1);
	rep(i,n){
		hld1.update_vertex(i,make_tuple(0LL,0LL,i-par[i]));
		hld2.update_vertex(i,make_tuple(0LL,0LL,i-par[i]));
	}
	set<lint>s;
	while(q--){
        int u=inf.readInt(1,n,"u");
        inf.readSpace();
        int r=inf.readInt(1,n,"r");
        inf.readSpace();
        int v=inf.readInt(1,n,"v");
        inf.readEoln();
		u--;r--;v--;
		if(s.count(u)){
			s.erase(u);
			hld1.update_path(0,u,make_tuple(-1LL,-1LL,0LL));
			hld2.update_path(0,u,make_tuple(1LL,-1LL,0LL));
			hld2.update_subtree(0,make_tuple(-1LL,0LL,0LL));
			sz.update_vertex(u,-1);
			sum.update_vertex(u,-u-1);
		}else{
			s.emplace(u);
			hld1.update_path(0,u,make_tuple(1LL,1LL,0LL));
			hld2.update_path(0,u,make_tuple(-1LL,1LL,0LL));
			hld2.update_subtree(0,make_tuple(1LL,0LL,0LL));
			sz.update_vertex(u,1);
			sum.update_vertex(u,u+1);
		}
		// 1を根として見た時のvの部分木かつSに含まれる集合の頂点番号の総和
		auto s1v=[&](auto v){
			return sum.get_subtree(v);
		};
		// 1を根として見た時のvの部分木かつSに含まれる集合の個数
		auto c1v=[&](auto v){
			return sz.get_subtree(v);
		};
		// r=1の時の解
		auto f1v=[&](auto v){
			lint c=c1v(v);
			return (get<2>(hld1.get_subtree(v))+c*c*(par[v]+1)-s1v(v))/2;
		};
		// r=vの時の解
		auto fvv=[&](auto v){
			return f1v(0)+get<2>(hld2.get_path(0,v));
		};
		if(r==v){
			cout<<fvv(v)<<endl;
		}else if(hld1.lca(r,v)!=v){
			cout<<f1v(v)<<endl;
		}else{
			lint x=hld1.next_u(v,r);
			lint c1x=c1v(x);
			// bool ok=0;
			// for(auto e:g[v]){
			// 	if(x==e)ok=1;
			// }
			// assert(ok);
			cout<<fvv(v)-f1v(x)-(v+1)*c1x*(s.size()-c1x)<<endl;
		}
	}
    inf.readEof();
}

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結果

テストケース

コンパイルメッセージ

ソースコード