#214228 (C++11) No.590 Replacement

• 問題: No.590 Replacement
• ユーザー: ats5515
• 提出日時: 2017-11-04 00:10:52
• 言語: C++11 (gcc 11.4.0)
• 結果: WA
• 実行時間: -
• コード長: 3,194 bytes
• コンパイル時間: 1,199 ms
• コンパイル使用メモリ: 107,844 KB
• 実行使用メモリ: 29,656 KB
• 最終ジャッジ日時: 2024-11-23 15:26:27
• 合計ジャッジ時間: 4,953 ms
• ジャッジサーバーID （参考情報）: judge2 / judge4

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; 5,248 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	6 ms; 5,248 KB
testcase_08	AC	4 ms; 5,248 KB
testcase_09	AC	6 ms; 5,248 KB
testcase_10	AC	4 ms; 5,248 KB
testcase_11	AC	2 ms; 5,248 KB
testcase_12	AC	6 ms; 5,248 KB
testcase_13	AC	28 ms; 5,376 KB
testcase_14	AC	43 ms; 6,144 KB
testcase_15	AC	4 ms; 5,248 KB
testcase_16	AC	11 ms; 5,248 KB
testcase_17	AC	18 ms; 5,248 KB
testcase_18	AC	66 ms; 8,164 KB
testcase_19	AC	67 ms; 7,808 KB
testcase_20	AC	18 ms; 5,248 KB
testcase_21	AC	80 ms; 8,832 KB
testcase_22	AC	80 ms; 9,108 KB
testcase_23	WA	-
testcase_24	WA	-
testcase_25	AC	86 ms; 8,960 KB
testcase_26	AC	88 ms; 9,192 KB
testcase_27	AC	87 ms; 9,104 KB
testcase_28	AC	86 ms; 9,088 KB
testcase_29	AC	87 ms; 9,216 KB
testcase_30	AC	92 ms; 8,960 KB
testcase_31	AC	91 ms; 9,108 KB
testcase_32	WA	-
testcase_33	AC	2 ms; 5,248 KB
testcase_34	AC	2 ms; 5,248 KB
testcase_35	AC	2 ms; 5,248 KB
testcase_36	AC	62 ms; 9,544 KB
testcase_37	AC	63 ms; 9,540 KB
testcase_38	AC	56 ms; 9,548 KB
testcase_39	AC	57 ms; 9,540 KB
testcase_40	AC	190 ms; 20,864 KB
testcase_41	AC	193 ms; 20,736 KB
testcase_42	AC	57 ms; 9,208 KB
testcase_43	AC	56 ms; 9,460 KB
testcase_44	AC	130 ms; 29,656 KB
testcase_45	WA	-
testcase_46	WA	-

ソースコード

#include <iostream>
#include <vector>
#include <map>
#include <set>
#include <queue>
#include <string>
#include <iomanip>
#include <algorithm>
#include <cmath>
#include <stdio.h>
using namespace std;
#define int long long
int MOD = 1000000007;
using lll = long long;
std::pair<lll, lll> crt(lll a1, lll m1, lll a2, lll m2) {
	auto normal = [](lll x, lll m) { return x >= -x ? x % m : m - (-x) % m; };
	auto modmul = [&normal](lll a, lll b, lll m) { return normal(a, m) * normal(b, m) % m; };
	auto extgcd = [](lll a, lll b, lll &x, lll &y) {
		for (lll u = y = 1, v = x = 0; a;) {
			lll q = b / a;
			std::swap(x -= q * u, u);
			std::swap(y -= q * v, v);
			std::swap(b -= q * a, a);
		}
		return b;
	};
	lll k1, k2;
	lll g = extgcd(m1, m2, k1, k2);
	if (normal(a1, g) != normal(a2, g))
		return std::make_pair(-1, -1);
	else {
		lll l = m1 / g * m2;
		lll x = a1 + modmul(modmul((a2 - a1) / g, k1, l), m1, l);
		return std::make_pair(x, l);
	}
}
std::pair<lll, lll> crt(std::vector<lll> a, std::vector<lll> m) {
	lll mod = 1, ans = 0;
	int n = a.size();
	for (int i = 0; i < n; i++) {
		std::tie(ans, mod) = crt(ans, mod, a[i], m[i]);
		if (ans == -1) return std::make_pair(-1, -1);
	}
	return std::make_pair(ans, mod);
}
int gcd(int a, int b)
{
	int c;
	while (a != 0) {
		c = a; a = b%a;  b = c;
	}
	return b;
}
int f(int a) {
	if (a <= 0) {
		return 0;
	}
	return a*(a - 1) / 2;
}
signed main() {
	cin.tie(0);
	ios::sync_with_stdio(false);
	int N;
	cin >> N;
	
	vector<int> A(N);
	vector<int> B(N);
	vector<int> nA(N, -1);
	vector<int> nB(N, -1);
	vector<int> indA(N);
	vector<int> indB(N);

	vector<int> szA;	
	vector<int> szB;
	int res = 0;
	for (int i = 0; i < N; i++) {
		cin >> A[i];
		A[i]--;
	}
	for (int i = 0; i < N; i++) {
		cin >> B[i];
		B[i]--;
	}
	int t;
	int c = 0;
	int cc = 0;
	for (int i = 0; i < N; i++) {
		if (nA[i] == -1) {
			cc = 0;
			t = i;
			while (true) {
				nA[t] = c;
				indA[t] = cc;
				cc++;
				t = A[t];
				if (i == t)break;
			}
			szA.push_back(cc);
			c++;
		}
	}
	c = 0;
	for (int i = 0; i < N; i++) {
		if (nB[i] == -1) {
			cc = 0;
			t = i;
			while (true) {
				nB[t] = c;
				indB[t] = cc;
				cc++;
				t = B[t];
				if (i == t)break;
			}
			szB.push_back(cc);
			c++;
		}
	}
	
	map<pair<pair<int, int>, int >, vector<int> > mp;
	map<pair<pair<int, int>, int >, int > mp2;
	int g;
	int k;
	pair<pair<int, int>, int > pp;
	for (int i = 0; i < N; i++) {
		//cerr << nA[i] << " " << nB[i] << " " << indA[i] << " " << indB[i] << endl;
		g = gcd(szA[nA[i]], szB[nB[i]]);
		k = (indB[i] - indA[i] + g * 1000000) % g;
		pp.first.first = nA[i];
		pp.first.second = nB[i];
		pp.second = k;
		mp2[pp] = (szA[nA[i]] / g) * (szB[nB[i]]);
		mp[pp].push_back(crt(indA[i], szA[nA[i]], (indB[i] - k + szB[nB[i]]) % szB[nB[i]], szB[nB[i]]).first);
	}
	int sz;
	for (auto m : mp) {
		sz = mp2[m.first];
		sort(m.second.begin(), m.second.end());
		/*for (int i = 0; i < (int)m.second.size(); i++) {
			cerr << m.second[i] << " ";
		}
		cerr << endl;*/
		for (int i = 0; i < (int)m.second.size() - 1; i++) {
	
			res = (res + f(m.second[i + 1] - m.second[i])) % MOD;
		}
		res = (res + f(sz + m.second[0] - m.second.back())) % MOD;
	}
	cout << res << endl;
}