#470720 (C++14) No.1036 Make One With GCD 2

• 問題: No.1036 Make One With GCD 2
• ユーザー: ningenMe
• 提出日時: 2020-04-25 18:09:11
• 言語: C++14 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 784 ms / 2,000 ms
• コード長: 3,720 bytes
• コンパイル時間: 1,909 ms
• コンパイル使用メモリ: 175,424 KB
• 実行使用メモリ: 31,744 KB
• 最終ジャッジ日時: 2024-09-16 13:52:39
• 合計ジャッジ時間: 13,841 ms
• ジャッジサーバーID （参考情報）: judge1 / judge4

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	437 ms; 31,616 KB
testcase_01	AC	102 ms; 31,612 KB
testcase_02	AC	183 ms; 31,616 KB
testcase_03	AC	24 ms; 17,012 KB
testcase_04	AC	40 ms; 30,208 KB
testcase_05	AC	1 ms; 5,376 KB
testcase_06	AC	1 ms; 5,376 KB
testcase_07	AC	40 ms; 17,152 KB
testcase_08	AC	34 ms; 16,724 KB
testcase_09	AC	215 ms; 31,616 KB
testcase_10	AC	207 ms; 31,284 KB
testcase_11	AC	225 ms; 31,688 KB
testcase_12	AC	203 ms; 31,360 KB
testcase_13	AC	347 ms; 31,488 KB
testcase_14	AC	355 ms; 31,600 KB
testcase_15	AC	335 ms; 31,336 KB
testcase_16	AC	332 ms; 31,232 KB
testcase_17	AC	342 ms; 31,432 KB
testcase_18	AC	2 ms; 5,376 KB
testcase_19	AC	2 ms; 5,376 KB
testcase_20	AC	2 ms; 5,376 KB
testcase_21	AC	2 ms; 5,376 KB
testcase_22	AC	333 ms; 31,232 KB
testcase_23	AC	259 ms; 30,336 KB
testcase_24	AC	369 ms; 31,336 KB
testcase_25	AC	323 ms; 31,104 KB
testcase_26	AC	317 ms; 31,200 KB
testcase_27	AC	2 ms; 5,376 KB
testcase_28	AC	1 ms; 5,376 KB
testcase_29	AC	2 ms; 5,376 KB
testcase_30	AC	2 ms; 5,376 KB
testcase_31	AC	2 ms; 5,376 KB
testcase_32	AC	2 ms; 5,376 KB
testcase_33	AC	2 ms; 5,376 KB
testcase_34	AC	2 ms; 5,376 KB
testcase_35	AC	2 ms; 5,376 KB
testcase_36	AC	2 ms; 5,376 KB
testcase_37	AC	2 ms; 5,376 KB
testcase_38	AC	362 ms; 31,668 KB
testcase_39	AC	784 ms; 31,744 KB
testcase_40	AC	245 ms; 30,224 KB
testcase_41	AC	578 ms; 31,744 KB
testcase_42	AC	561 ms; 31,744 KB
testcase_43	AC	541 ms; 31,672 KB
testcase_44	AC	584 ms; 31,576 KB

ソースコード

#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define SPEED cin.tie(0);ios::sync_with_stdio(false);

template<class Operator> class SegmentTree {
	Operator Op;                            
	using typeNode = decltype(Op.unitNode); 
	size_t length;
	size_t num;
	vector<typeNode> node;
	vector<pair<size_t,size_t>> range;
public:

	//unitで初期化
	SegmentTree(const size_t num): num(num) {
		for (length = 1; length < num; length *= 2);
		node.resize(2 * length, Op.unitNode);
		range.resize(2 * length);
		for (int i = 0; i < length; ++i) range[i+length] = make_pair(i,i+1);
		for (int i = length - 1; i >= 0; --i) range[i] = make_pair(range[(i<<1)+0].first,range[(i<<1)+1].second);
	}

	//vectorで初期化
	SegmentTree(const vector<typeNode> & vec) : num(vec.size()) {
		for (length = 1; length < vec.size(); length *= 2);
		node.resize(2 * length, Op.unitNode);
		for (int i = 0; i < vec.size(); ++i) node[i + length] = vec[i];
		for (int i = length - 1; i >= 0; --i) node[i] = Op.funcNode(node[(i<<1)+0],node[(i<<1)+1]);
		range.resize(2 * length);
		for (int i = 0; i < length; ++i) range[i+length] = make_pair(i,i+1);
		for (int i = length - 1; i >= 0; --i) range[i] = make_pair(range[(i<<1)+0].first,range[(i<<1)+1].second);
	}
 
	//同じinitで初期化
	SegmentTree(const size_t num, const typeNode init) : num(num) {
		for (length = 1; length < num; length *= 2);
		node.resize(2 * length, init);
		range.resize(2 * length);
		for (int i = 0; i < length; ++i) range[i+length] = make_pair(i,i+1);
		for (int i = length - 1; i >= 0; --i) range[i] = make_pair(range[(i<<1)+0].first,range[(i<<1)+1].second);
	}
	
	//[idx,idx+1)
	void update(size_t idx, const typeNode var) {
		if(idx < 0 || length <= idx) return;
		idx += length;
		node[idx] = Op.funcMerge(node[idx],var);
		while(idx >>= 1) node[idx] = Op.funcNode(node[(idx<<1)+0],node[(idx<<1)+1]);
	}

	//[l,r)
	typeNode get(int l, int r) {
		if (l < 0 || length <= l || r < 0 || length < r) return Op.unitNode;
		typeNode vl = Op.unitNode, vr = Op.unitNode;
		for(l += length, r += length; l < r; l >>=1, r >>=1) {
			if(l&1) vl = Op.funcNode(vl,node[l++]);
			if(r&1) vr = Op.funcNode(node[--r],vr);
		}
		return Op.funcNode(vl,vr);
	}

	//return [0,length]
	int PrefixBinarySearch(typeNode var) {
		if(!Op.funcCheck(node[1],var)) return num;
		typeNode ret = Op.unitNode;
		size_t idx = 2;
		for(; idx < 2*length; idx<<=1){
			if(!Op.funcCheck(Op.funcNode(ret,node[idx]),var)) {
				ret = Op.funcNode(ret,node[idx]);
				idx++;
			}
		}
		return min((idx>>1) - length,num);
	}

	//range[l,r) return [l,r]
	int BinarySearch(size_t l, size_t r, typeNode var) {
		if (l < 0 || length <= l || r < 0 || length < r) return -1;
		typeNode ret = Op.unitNode;
		size_t off = l;
		for(size_t idx = l+length; idx < 2*length && off < r; ){
			if(range[idx].second<=r && !Op.funcCheck(Op.funcNode(ret,node[idx]),var)) {
				ret = Op.funcNode(ret,node[idx]);
				off = range[idx++].second;
				if(!(idx&1)) idx >>= 1;			
			}
			else{
				idx <<=1;
			}
		}
		return off;
	}
};

template<class typeNode> struct nodeGCDPointUpdate {
	typeNode unitNode = 0;
	typeNode funcNode(typeNode l,typeNode r){return ((r == 0) ? l : funcNode(r, l % r));}
	typeNode funcMerge(typeNode l,typeNode r){return r;}
	bool funcCheck(typeNode nodeVal,typeNode var){return var == nodeVal;}
};

// solution by binary search in arbitary range on disjn sparse table 
int main() {
	SPEED
	ll N; cin >> N;
	vector<ll> A(N+1,1);
	for(int i = 0; i < N; ++i) cin >> A[i];
	SegmentTree<nodeGCDPointUpdate<ll>> seg(A);
	ll ans=0;
	int r=1;
	for(int i=0; i<N; i++,r=max(r,i+1)){
		while(r<=N){
			if(seg.get(i, r)==1) break;
			r++;
		}
		ans+=N+1-r;
	}
	cout << ans << endl;
}