結果

問題 No.900 aδδitivee
ユーザー ningenMeningenMe
提出日時 2019-10-05 14:11:17
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 437 ms / 2,000 ms
コード長 12,590 bytes
コンパイル時間 2,561 ms
コンパイル使用メモリ 194,832 KB
実行使用メモリ 48,640 KB
最終ジャッジ日時 2024-10-05 20:33:07
合計ジャッジ時間 13,024 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge3
このコードへのチャレンジ
（要ログイン）

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 1 ms
5,248 KB
testcase_01 AC 2 ms
5,248 KB
testcase_02 AC 2 ms
5,248 KB
testcase_03 AC 2 ms
5,248 KB
testcase_04 AC 2 ms
5,248 KB
testcase_05 AC 2 ms
5,248 KB
testcase_06 AC 2 ms
5,248 KB
testcase_07 AC 400 ms
43,776 KB
testcase_08 AC 420 ms
43,796 KB
testcase_09 AC 403 ms
43,780 KB
testcase_10 AC 400 ms
43,772 KB
testcase_11 AC 409 ms
43,784 KB
testcase_12 AC 406 ms
43,788 KB
testcase_13 AC 419 ms
43,784 KB
testcase_14 AC 392 ms
43,772 KB
testcase_15 AC 397 ms
43,780 KB
testcase_16 AC 399 ms
43,792 KB
testcase_17 AC 437 ms
43,784 KB
testcase_18 AC 430 ms
43,772 KB
testcase_19 AC 430 ms
43,752 KB
testcase_20 AC 412 ms
43,780 KB
testcase_21 AC 408 ms
43,692 KB
testcase_22 AC 380 ms
48,508 KB
testcase_23 AC 366 ms
48,516 KB
testcase_24 AC 385 ms
48,512 KB
testcase_25 AC 370 ms
48,512 KB
testcase_26 AC 382 ms
48,508 KB
testcase_27 AC 385 ms
48,512 KB
testcase_28 AC 373 ms
48,640 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

diff # 

#include <bits/stdc++.h>
using namespace std;
using ll = long long;

template<class T = int> class Tree {
public:
	int nodeNum;
	int isWeighted;
	int maxBit;
	int idx;
	vector<vector<int>> edge;
	vector<vector<T>> weight;
	vector<int> depth;
	vector<int> order;
	vector<T> dist;
	
	vector<int> parent;
	vector<T> parentDist;
	
	vector<vector<int>> child;
	vector<vector<T>> childDist;
 
	vector<vector<int>> ancestor;
	vector<vector<int>> descendant;
	
	vector<int> eulerTour;
    vector<T> eulerTourDist;
	vector<int> eulerTourIdxL;
	vector<int> eulerTourIdxR;
    vector<int> eulerTourDive,eulerTourFloat;
    vector<T> eulerTourDiveDist,eulerTourFloatDist;
	vector<int> eulerTourDiveIdxL,eulerTourFloatIdxL;
	vector<int> eulerTourDiveIdxR,eulerTourFloatIdxR;
 
	Tree(const int nodeNum, const int isWeighted = 0, const int maxBit = 20) : 
	nodeNum(nodeNum),
	isWeighted(isWeighted),
	maxBit(maxBit),
	edge(nodeNum),
	depth(nodeNum),
	order(nodeNum)
	{
		if(isWeighted) weight.resize(nodeNum);
		if(isWeighted) dist.resize(nodeNum);
	}
 
	//O(1) anytime
	void makeEdge(const int& from, const int& to, const T& w = 0) {
		edge[from].push_back(to);
		if(isWeighted)	weight[from].push_back(w);
	}
 
	//O(N) anytime
	void makeDepth(const int root) {
		depth[root] = 0;
		if(isWeighted) dist[root] = 0;
		idx = 0;
		dfs1(root);
		order[idx++] = root;
	}
 
    //for makeDepth
	void dfs1(int from, int prev = -1){
		for(int i = 0; i < edge[from].size(); ++i){
			int to = edge[from][i];
			if(to==prev) continue;
			depth[to] = depth[from] + 1;
			if(isWeighted) dist[to] = dist[from] + weight[from][i];
			dfs1(to,from);
			order[idx++] = to;
		}
	}
 
    //O(N) anytime
	int diameter(void){
		makeDepth(0);
		int tmp = max_element(depth.begin(), depth.end()) - depth.begin();
		makeDepth(tmp);
		return *max_element(depth.begin(), depth.end());
	}
 
	//O(N) after makeDepth
	void makeParent(void) {
		parent.resize(nodeNum);
		iota(parent.begin(),parent.end(),0);
		for (int i = 0; i < nodeNum; ++i) for (auto j : edge[i]) if (depth[i] > depth[j]) parent[i] = j;
 
		if(isWeighted) {
			parentDist.resize(nodeNum);
			for (int i = 0; i < nodeNum; ++i) for (int j = 0; j < edge[i].size(); ++j) if (depth[i] > depth[edge[i][j]]) parentDist[i] = weight[i][j];
		}
	}
 
	//O(N) after makeDepth
	void makeChild(void) {
		child.resize(nodeNum);
		for (int i = 0; i < nodeNum; ++i) for (auto j : edge[i]) if (depth[i] < depth[j]) child[i].push_back(j);
 
		if(isWeighted) {
			childDist.resize(nodeNum);
			for (int i = 0; i < nodeNum; ++i) for (int j = 0; j < edge[i].size(); ++j) if (depth[i] < depth[edge[i][j]]) childDist[i].push_back(weight[i][j]);
		}
	}
 
	//O(NlogN) after makeDepth
	void makeAncestor(void) {
		ancestor.resize(nodeNum,vector<int>(maxBit));
		for (int i = 0; i < nodeNum; ++i) ancestor[i][0] = i;
		for (int i = 0; i < nodeNum; ++i) for (auto j : edge[i]) if (depth[i] > depth[j]) ancestor[i][0] = j;
		for (int bit = 1; bit < maxBit; ++bit) for (int i = 0; i < nodeNum; ++i) ancestor[i][bit] = ancestor[ancestor[i][bit - 1]][bit - 1];
	}
 
	//O(N^2) after makeDepth
	void makeDescendant(void) {
		descendant.resize(nodeNum);
		for (int i = 0; i < nodeNum; ++i) descendant[i].push_back(i);
		for (int i = 0; i < nodeNum; ++i) for (auto j : edge[order[i]]) if (depth[order[i]] < depth[j]) for(auto k: descendant[j]) descendant[order[i]].push_back(k);
	}
 
	//O(logN) after makeAncestor
	int lca(int l, int r) {
		if (depth[l] < depth[r]) swap(l, r);
		int diff = depth[l] - depth[r];
		for (int bit = 0; bit < maxBit; ++bit) if (diff & (1 << bit)) l = ancestor[l][bit];
		if(l==r) return l;
		for (int bit = maxBit - 1; 0 <= bit; --bit) if(ancestor[l][bit]!=ancestor[r][bit]) l = ancestor[l][bit], r = ancestor[r][bit];
		return ancestor[l][0];
	}
 
	//O(N) after makeChild and makeParent
	void makeEulerTour(void){
        dfs2(order[nodeNum-1]);
		eulerTourIdxL.resize(nodeNum);
		eulerTourIdxR.resize(nodeNum);
		for(int i = 0; i < eulerTour.size(); ++i) eulerTourIdxR[eulerTour[i]] = i;
		for(int i = eulerTour.size()-1; 0 <= i; --i) eulerTourIdxL[eulerTour[i]] = i;
		return;
	}
 
    //for makeEulerTour
	void dfs2(int from, int prev = -1){
		eulerTour.push_back(from);
        if(isWeighted) eulerTourDist.push_back(parentDist[from]);
 
        for(int i = 0; i < child[from].size(); ++i){
            int to = child[from][i];            
            dfs2(to,from);            
    		eulerTour.push_back(from);
            if(isWeighted) eulerTourDist.push_back(-childDist[from][i]);
        }
	}

	//O(NlogN) after makeEulerTour
	void makeEulerTourEdge(void) {
		eulerTourDive.push_back(order[nodeNum-1]);
		if(isWeighted) eulerTourDiveDist.push_back(0);
		for(int i = 1; i < eulerTour.size(); ++i) {
			int l = eulerTour[i-1];
			int r = eulerTour[i];
			if(depth[l] < depth[r]) {
				eulerTourDive.push_back(i);
				if(isWeighted) eulerTourDiveDist.push_back(eulerTourDist[i]);
			}
			else {
				eulerTourFloat.push_back(i);
				if(isWeighted) eulerTourFloatDist.push_back(eulerTourDist[i]);
			}
		}
		eulerTourDiveIdxL.resize(nodeNum);
		eulerTourDiveIdxR.resize(nodeNum);
		eulerTourFloatIdxL.resize(nodeNum);
		eulerTourFloatIdxR.resize(nodeNum);
		for(int i = 0; i < nodeNum; ++i) {
			int l = eulerTourIdxL[i];
			int r = eulerTourIdxR[i];
			eulerTourDiveIdxL[i]  =  upper_bound(eulerTourDive.begin() ,eulerTourDive.end() ,l) - eulerTourDive.begin()     ;
			eulerTourDiveIdxR[i]  = (upper_bound(eulerTourDive.begin() ,eulerTourDive.end() ,r) - eulerTourDive.begin())  -1;
			eulerTourFloatIdxL[i] =  upper_bound(eulerTourFloat.begin(),eulerTourFloat.end(),l) - eulerTourFloat.begin()    ;
			eulerTourFloatIdxR[i] = (upper_bound(eulerTourFloat.begin(),eulerTourFloat.end(),r) - eulerTourFloat.begin()) -1;
			eulerTourDiveIdxR[i]  = max(eulerTourDiveIdxL[i]-1 ,eulerTourDiveIdxR[i]);
			eulerTourFloatIdxR[i] = max(eulerTourFloatIdxL[i]-1,eulerTourFloatIdxR[i]);
		}
	}
		// iの部分木の頂点に加算するとき
		// [ eulerTourIdxL[i]  ,eulerTourIdxR[i]  ]に　+val
		// [i]の頂点クエリ
		// [eulerTourIdxL[i],eulerTourIdxL[i]]

		// iの部分木の辺に加算するとき
		// [ eulerTourDiveIdxL[i]  ,eulerTourDiveIdxR[i]  ]に　+val
		// [ eulerTourFloatIdxL[i] ,eulerTourFloatIdxR[i] ]に　-val
		// [0,i]のパスクエリ
		// [ 0, eulerTourDiveIdxL[i] ) + [0, eulerTourFloatIdxL[i])
 
};
 
//depth,dist
//https://atcoder.jp/contests/abc126/tasks/abc126_d
 
//lca
//https://atcoder.jp/contests/abc014/tasks/abc014_4
 
//child
//https://atcoder.jp/contests/abc133/tasks/abc133_e

//eulerTour
//https://yukicoder.me/problems/no/900



template<class T> class LazySegmentTree {
	size_t length;                  //セグメント木の最下段の要素の数(vectorの要素の数を超える2べきの数)
	size_t height;                  //セグメント木の高さ 
	T unitNode;                     //nodeの単位元
	T unitLazy;                     //lazyの単位元
	vector<T> node;                 //node
	vector<T> lazy;                 //lazy
	vector<int> width;              //width
	function<T(T,T)> funcNode;      //node同士の演算
	function<T(T,T)> funcLazy;      //lazy同士の演算
	function<T(T,T,int)> funcMerge; //nodeとlazyの演算

public:
	//vectorで初期化
	LazySegmentTree(const vector<T> & vec, const T unitNode, const T unitLazy, function<T(T,T)> funcNode, function<T(T,T)> funcLazy,function<T(T,T,int)> funcMerge)
	 : unitNode(unitNode), unitLazy(unitLazy), funcNode(funcNode),funcLazy(funcLazy),funcMerge(funcMerge) {
		for (length = 1,height = 0; length < vec.size(); length *= 2, height++);
		node.resize(2 * length, unitNode);
		lazy.resize(2 * length, unitLazy);
		for (int i = 0; i < vec.size(); ++i) node[i + length] = vec[i];
		for (int i = length - 1; i >= 0; --i) node[i] = funcNode(node[(i<<1)+0],node[(i<<1)+1]);
		width.resize(2 * length, 0);
		for(int i = length; i < 2*length; ++i) for(int j = i, k = 1; j && !width[j] ; j >>= 1,k <<= 1) width[j] = k;
	}

	//同じinitで初期化
	LazySegmentTree(const size_t num, const T unitNode, const T unitLazy, const T init, function<T(T,T)> funcNode, function<T(T,T)> funcLazy,function<T(T,T,int)> funcMerge)
	 : unitNode(unitNode), unitLazy(unitLazy), funcNode(funcNode),funcLazy(funcLazy),funcMerge(funcMerge) {
		for (length = 1,height = 0; length < num; length *= 2, height++);
		node.resize(2 * length, unitNode);
		lazy.resize(2 * length, unitLazy);
		for (int i = 0; i < num; ++i) node[i + length] = init;
		for (int i = length - 1; i >= 0; --i) node[i] = funcNode(node[(i<<1)+0],node[(i<<1)+1]);
		width.resize(2 * length, 0);
		for(int i = length; i < 2*length; ++i) for(int j = i, k = 1; j && !width[j] ; j >>= 1,k <<= 1) width[j] = k;
	}
 
	//unitだけで初期化
	LazySegmentTree(const size_t num, const T unitNode, const T unitLazy, function<T(T,T)> funcNode, function<T(T,T)> funcLazy,function<T(T,T,int)> funcMerge)
	: unitNode(unitNode), unitLazy(unitLazy), funcNode(funcNode),funcLazy(funcLazy),funcMerge(funcMerge) {
		for (length = 1,height = 0; length < num; length *= 2, height++);
		node.resize(2 * length, unitNode);
		lazy.resize(2 * length, unitLazy);
		width.resize(2 * length, 0);
		for(int i = length; i < 2*length; ++i) for(int j = i, k = 1; j && !width[j] ; j >>= 1,k <<= 1) width[j] = k;
	}


	void propagate(int k) {
		if(lazy[k] == unitLazy) return;
		node[k] = funcMerge(node[k],lazy[k],width[k]);
		if(k < length) lazy[2*k+0] = funcLazy(lazy[2*k+0],lazy[k]);
		if(k < length) lazy[2*k+1] = funcLazy(lazy[2*k+1],lazy[k]);
		lazy[k] = unitLazy;
    }


	//idx : 0-indexed
    void update(int a, int b, T x) {
		int l = a + length, r = b + length - 1;
		for (int i = height; 0 < i; --i) propagate(l >> i), propagate(r >> i);
		for(r++; l < r; l >>=1, r >>=1) {
			if(l&1) lazy[l] = funcLazy(lazy[l],x), propagate(l),l++;
			if(r&1) --r,lazy[r] = funcLazy(lazy[r],x), propagate(r);
		}
		l = a + length, r = b + length - 1;
		while ((l>>=1),(r>>=1),l) {
			if(lazy[l] == unitLazy) node[l] = funcNode(funcMerge(node[(l<<1)+0],lazy[(l<<1)+0],width[(l<<1)+0]),funcMerge(node[(l<<1)+1],lazy[(l<<1)+1],width[(l<<1)+1]));
			if(lazy[r] == unitLazy) node[r] = funcNode(funcMerge(node[(r<<1)+0],lazy[(r<<1)+0],width[(r<<1)+0]),funcMerge(node[(r<<1)+1],lazy[(r<<1)+1],width[(r<<1)+1]));
		}
    }

	//[l,r)
	T get(int a, int b) {
		int l = a + length, r = b + length - 1;
		for (int i = height; 0 < i; --i) propagate(l >> i), propagate(r >> i);
		T vl = unitNode, vr = unitNode;
		for(r++; l < r; l >>=1, r >>=1) {
			if(l&1) vl = funcNode(vl,funcMerge(node[l],lazy[l],width[l])),l++;
			if(r&1) r--,vr = funcNode(vr,funcMerge(node[r],lazy[r],width[r]));
		}
		return funcNode(vl,vr);
	}

	void print(){
		// cout << "height" << " " << height << endl;
		// cout << "node" << endl;
		// for(int i = 1,j = 1; i < 2*length; ++i) {
		// 	cout << node[i] << " ";
		// 	if(i==((1<<j)-1) && ++j) cout << endl;
		// }
		// cout << "lazy" << endl;
		// for(int i = 1,j = 1; i < 2*length; ++i) {
		// 	cout << lazy[i] << " ";
		// 	if(i==((1<<j)-1) && ++j) cout << endl;
		// }
		// cout << "width" << endl;
		// for(int i = 1,j = 1; i < 2*length; ++i) {
		// 	cout << width[i] << " ";
		// 	if(i==((1<<j)-1) && ++j) cout << endl;
		// }
		cout << "vector" << endl;
		cout << "{ " << get(0,1);
		for(int i = 1; i < length; ++i) cout << ", " << get(i,i+1);
		cout << " }" << endl;
	}

};

int main() {
    int N;
    cin >> N;
    Tree<ll> tree(N,1);
    for(int i = 0; i < N-1; ++i) {
        int u,v,w;
        cin >> u >> v >> w;
        tree.makeEdge(u,v,w);
        tree.makeEdge(v,u,w);
    }

    tree.makeDepth(0);
    tree.makeChild();
    tree.makeParent();
    tree.makeEulerTour();
	tree.makeEulerTourEdge();

    //区間加算 + 区間総和
    function<ll(ll,ll)> funcNode  = [&](ll l,ll r){return l+r;};
    function<ll(ll,ll)> funcLazy  = [&](ll l,ll r){return l+r;};
    function<ll(ll,ll,int)> funcMerge = [&](ll l,ll r,int c){return l+r*c;};
    LazySegmentTree<ll> SegDive(tree.eulerTourDiveDist,0,0,funcNode,funcLazy,funcMerge),SegFloat(tree.eulerTourFloatDist,0,0,funcNode,funcLazy,funcMerge);
    
    int Q; cin >> Q;
    while(Q--) {
        int q;
        cin >> q;
        if(q==1) {
            int a,x; cin >> a >> x;
            SegDive.update(tree.eulerTourDiveIdxL[a],tree.eulerTourDiveIdxR[a]+1,x);
            SegFloat.update(tree.eulerTourFloatIdxL[a],tree.eulerTourFloatIdxR[a]+1,-x);
        }
        else {
            int b; cin >> b;
            cout << SegDive.get(0,tree.eulerTourDiveIdxL[b])+SegFloat.get(0,tree.eulerTourFloatIdxL[b]) << endl;
        }
    }

    return 0; 
}
0