結果

問題 No.1036 Make One With GCD 2
ユーザー ningenMeningenMe
提出日時 2020-04-26 03:03:34
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 1,378 ms / 2,000 ms
コード長 4,995 bytes
コンパイル時間 1,727 ms
コンパイル使用メモリ 175,148 KB
実行使用メモリ 31,732 KB
最終ジャッジ日時 2023-10-14 20:17:45
合計ジャッジ時間 19,717 ms
ジャッジサーバーID
(参考情報)
judge13 / judge11
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 1,378 ms
31,560 KB
testcase_01 AC 162 ms
31,732 KB
testcase_02 AC 193 ms
31,660 KB
testcase_03 AC 18 ms
16,764 KB
testcase_04 AC 32 ms
30,308 KB
testcase_05 AC 2 ms
4,352 KB
testcase_06 AC 2 ms
4,348 KB
testcase_07 AC 61 ms
17,076 KB
testcase_08 AC 49 ms
16,708 KB
testcase_09 AC 331 ms
31,276 KB
testcase_10 AC 302 ms
31,040 KB
testcase_11 AC 341 ms
31,648 KB
testcase_12 AC 312 ms
31,216 KB
testcase_13 AC 515 ms
31,452 KB
testcase_14 AC 522 ms
31,480 KB
testcase_15 AC 493 ms
31,116 KB
testcase_16 AC 489 ms
31,128 KB
testcase_17 AC 518 ms
31,296 KB
testcase_18 AC 2 ms
4,352 KB
testcase_19 AC 2 ms
4,348 KB
testcase_20 AC 3 ms
4,352 KB
testcase_21 AC 3 ms
4,356 KB
testcase_22 AC 467 ms
31,212 KB
testcase_23 AC 344 ms
30,324 KB
testcase_24 AC 509 ms
31,328 KB
testcase_25 AC 450 ms
31,204 KB
testcase_26 AC 470 ms
31,100 KB
testcase_27 AC 2 ms
4,352 KB
testcase_28 AC 1 ms
4,356 KB
testcase_29 AC 2 ms
4,348 KB
testcase_30 AC 2 ms
4,348 KB
testcase_31 AC 1 ms
4,348 KB
testcase_32 AC 1 ms
4,352 KB
testcase_33 AC 2 ms
4,348 KB
testcase_34 AC 1 ms
4,348 KB
testcase_35 AC 1 ms
4,352 KB
testcase_36 AC 1 ms
4,372 KB
testcase_37 AC 1 ms
4,352 KB
testcase_38 AC 190 ms
31,612 KB
testcase_39 AC 743 ms
31,652 KB
testcase_40 AC 375 ms
30,132 KB
testcase_41 AC 779 ms
31,652 KB
testcase_42 AC 746 ms
31,552 KB
testcase_43 AC 905 ms
31,552 KB
testcase_44 AC 1,058 ms
31,556 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:142:9: 警告: inline variables are only available with ‘-std=c++17’ or ‘-std=gnu++17’ [-Wc++17-extensions]
  142 |         inline static constexpr TypeNode unit_node = 0;
      |         ^~~~~~

ソースコード

diff #

#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 {
	using TypeNode = typename Operator::TypeNode; 
	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, Operator::unit_node);
		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, Operator::unit_node);
		for (int i = 0; i < vec.size(); ++i) node[i + length] = vec[i];
		for (int i = length - 1; i >= 0; --i) node[i] = Operator::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, Operator::unit_node);
		range.resize(2 * length);
		for (int i = 0; i < length; ++i) node[i+length] = init;
		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] = Operator::funcMerge(node[idx],var);
		while(idx >>= 1) node[idx] = Operator::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 Operator::unit_node;
		TypeNode vl = Operator::unit_node, vr = Operator::unit_node;
		for(l += length, r += length; l < r; l >>=1, r >>=1) {
			if(l&1) vl = Operator::funcNode(vl,node[l++]);
			if(r&1) vr = Operator::funcNode(node[--r],vr);
		}
		return Operator::funcNode(vl,vr);
	}

	//return [0,length]
	int prefixBinarySearch(TypeNode var) {
		if(!Operator::funcCheck(node[1],var)) return num;
		TypeNode ret = Operator::unit_node;
		size_t idx = 2;
		for(; idx < 2*length; idx<<=1){
			if(!Operator::funcCheck(Operator::funcNode(ret,node[idx]),var)) {
				ret = Operator::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 = Operator::unit_node;
		size_t off = l;
		for(size_t idx = l+length; idx < 2*length && off < r; ){
			if(range[idx].second<=r && !Operator::funcCheck(Operator::funcNode(ret,node[idx]),var)) {
				ret = Operator::funcNode(ret,node[idx]);
				off = range[idx++].second;
				if(!(idx&1)) idx >>= 1;			
			}
			else{
				idx <<=1;
			}
		}
		return off;
	}
};


class Gcd{
public:
	inline static long long impl(long long n, long long m) {
		static constexpr long long K = 5;
		long long t,s;
		for(int i = 0; t = n - m, s = n - m * K, i < 80; ++i) {
			if(t<m){
				if(!t) return m;
				n = m, m = t;
			}
			else{
				if(!m) return t;
				n=t;
				if(t >= m * K) n = s;
			}
		}
		return impl(m, n % m);
	}
	inline static long long pre(long long n, long long m) {
		long long t;
		for(int i = 0; t = n - m, i < 4; ++i) {
			(t < m ? n=m,m=t : n=t);
			if(!m) return n;
		}
		return impl(n, m);
	}
	inline static long long gcd(long long n, long long m) {
		return (n>m ? pre(n,m) : pre(m,n));
	}
	inline static constexpr long long pureGcd(long long a, long long b) {
		return (b ? pureGcd(b, a % b):a);
	}
	inline static constexpr long long lcm(long long a, long long b) {
		return (a*b ? (a / gcd(a, b)*b): 0);
	}
	inline static constexpr long long extGcd(long long a, long long b, long long &x, long long &y) {
		if (b == 0) return x = 1, y = 0, a;
		long long d = extGcd(b, a%b, y, x);
		return y -= a / b * x, d;
	}
};


template<class T> struct nodeGcdPointUpdate {
	using TypeNode = T;
	inline static constexpr TypeNode unit_node = 0;
	inline static constexpr TypeNode funcNode(TypeNode l,TypeNode r){return Gcd::gcd(l,r);}
	inline static constexpr TypeNode funcMerge(TypeNode l,TypeNode r){return r;}
	inline static constexpr bool funcCheck(TypeNode nodeVal,TypeNode var){return var == nodeVal;}
};

// solution by binary search in prefix range on segment tree 
int main() {
	SPEED
	ll N; cin >> N;
	vector<ll> A(N);
	for(int i = 0; i < N; ++i) cin >> A[i];
	SegmentTree<nodeGcdPointUpdate<ll>> seg(A);
	ll ans = 0;
	for(int i = 0; i < N; ++i) {
		ans += N - seg.binarySearch(i,N,1);
	}
	cout << ans << endl;
}
0