結果
| 問題 |
No.590 Replacement
|
| コンテスト | |
| ユーザー |
 Pachicobue
|
| 提出日時 | 2019-04-26 20:15:30 |
| 言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 182 ms / 2,000 ms |
| コード長 | 7,305 bytes |
| コンパイル時間 | 2,778 ms |
| コンパイル使用メモリ | 215,904 KB |
| 最終ジャッジ日時 | 2025-01-07 03:02:26 |
|
ジャッジサーバーID （参考情報） |
judge5 / judge1 |
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| ファイルパターン | 結果 |
|---|---|
| other | AC * 47 |
ソースコード
#include <bits/stdc++.h>
#pragma GCC diagnostic ignored "-Wsign-compare"
#pragma GCC diagnostic ignored "-Wsign-conversion"
#define NDEBUG
#define SHOW(...) static_cast<void>(0)
//!===========================================================!//
//! dP dP dP !//
//! 88 88 88 !//
//! 88aaaaa88a .d8888b. .d8888b. .d888b88 .d8888b. 88d888b. !//
//! 88 88 88ooood8 88' '88 88' '88 88ooood8 88' '88 !//
//! 88 88 88. ... 88. .88 88. .88 88. ... 88 !//
//! dP dP '88888P' '88888P8 '88888P8 '88888P' dP !//
//!===========================================================!//
using ld = long double;
using uint = unsigned int;
using ll = long long;
using ull = unsigned long long;
constexpr unsigned int MOD = 1000000007;
template <typename T>
constexpr T INF = std::numeric_limits<T>::max() / 4;
template <typename F>
constexpr F PI = static_cast<F>(3.1415926535897932385);
std::mt19937 mt{std::random_device{}()};
template <typename T>
bool chmin(T& a, const T& b) { return a = std::min(a, b), a == b; }
template <typename T>
bool chmax(T& a, const T& b) { return a = std::max(a, b), a == b; }
template <typename T>
std::vector<T> Vec(const std::size_t n, T v) { return std::vector<T>(n, v); }
template <class... Args>
auto Vec(const std::size_t n, Args... args) { return std::vector<decltype(Vec(args...))>(n, Vec(args...)); }
template <typename T>
constexpr T popCount(const T u)
{
#ifdef __has_builtin
return u == 0 ? T(0) : (T)__builtin_popcountll(u);
#else
unsigned long long v = static_cast<unsigned long long>(u);
return v = (v & 0x5555555555555555ULL) + (v >> 1 & 0x5555555555555555ULL), v = (v & 0x3333333333333333ULL) + (v >> 2 & 0x3333333333333333ULL), v = (v + (v >> 4)) & 0x0F0F0F0F0F0F0F0FULL, static_cast<T>(v * 0x0101010101010101ULL >> 56 & 0x7f);
#endif
}
template <typename T>
constexpr T log2p1(const T u)
{
#ifdef __has_builtin
return u == 0 ? T(0) : T(64 - __builtin_clzll(u));
#else
unsigned long long v = static_cast<unsigned long long>(u);
return v = static_cast<unsigned long long>(v), v |= (v >> 1), v |= (v >> 2), v |= (v >> 4), v |= (v >> 8), v |= (v >> 16), v |= (v >> 32), popCount(v);
#endif
}
template <typename T>
constexpr T clog(const T v) { return v == 0 ? T(0) : log2p1(v - 1); }
template <typename T>
constexpr T msbp1(const T v) { return log2p1(v); }
template <typename T>
constexpr T lsbp1(const T v)
{
#ifdef __has_builtin
return __builtin_ffsll(v);
#else
return v == 0 ? T(0) : popCount((v & (-v)) - T(1)) + T(1);
#endif
}
template <typename T>
constexpr bool ispow2(const T v) { return popCount(v) == 1; }
template <typename T>
constexpr T ceil2(const T v) { return v == 0 ? T(1) : T(1) << log2p1(v - 1); }
template <typename T>
constexpr T floor2(const T v) { return v == 0 ? T(0) : T(1) << (log2p1(v) - 1); }
//!===============================================================!//
//! 88888888b dP .88888. a88888b. 888888ba !//
//! 88 88 d8' '88 d8' '88 88 '8b !//
//! a88aaaa dP. .dP d8888P 88 88 88 88 !//
//! 88 '8bd8' 88 88 YP88 88 88 88 !//
//! 88 .d88b. 88 Y8. .88 Y8. .88 88 .8P !//
//! 88888888P dP' 'dP dP '88888' Y88888P' 8888888P !//
//!===============================================================!//
template <typename T>
constexpr std::pair<T, T> extgcd(const T a, const T b)
{
if (b == 0) { return std::pair<T, T>{1, 0}; }
const auto p = extgcd(b, a % b);
return {p.second, p.first - p.second * (a / b)};
}
template <typename T>
constexpr T inverse(const T a, const T mod) { return (mod + extgcd((mod + a % mod) % mod, mod).first % mod) % mod; }
//!====================================================================================!//
//! .88888. a88888b. 888888ba d88b dP a88888b. 8888ba.88ba !//
//! d8' '88 d8' '88 88 '8b 8''8 88 d8' '88 88 '8b '8b !//
//! 88 88 88 88 d8b 88 88 88 88 88 !//
//! 88 YP88 88 88 88 d8P'8b 88 88 88 88 88 !//
//! Y8. .88 Y8. .88 88 .8P d8' '8bP 88 Y8. .88 88 88 88 !//
//! '88888' Y88888P' 8888888P '888P''YP 88888888P Y88888P' dP dP dP !//
//!====================================================================================!//
template <typename T>
constexpr T gcd(const T a, const T b) { return (b != 0) ? gcd(b, a % b) : a; }
template <typename T>
constexpr T lcm(const T a, const T b) { return (a == 0 and b == 0) ? (T)0 : (a / gcd(a, b)) * b; }
//!============================================!//
//! 8888ba.88ba oo !//
//! 88 '8b '8b !//
//! 88 88 88 .d8888b. dP 88d888b. !//
//! 88 88 88 88' '88 88 88' '88 !//
//! 88 88 88 88. .88 88 88 88 !//
//! dP dP dP '88888P8 dP dP dP !//
//!============================================!//
int main()
{
int N;
std::cin >> N;
std::vector<int> A(N), B(N);
for (int i = 0; i < N; i++) { std::cin >> A[i], A[i]--; }
for (int i = 0; i < N; i++) { std::cin >> B[i], B[i]--; }
std::vector<std::vector<int>> cycle1;
std::vector<int> C1(N, -1), D1(N, -1);
for (int i = 0; i < N; i++) {
if (C1[i] != -1) { continue; }
std::vector<int> c;
for (int p = i, d = 0; C1[p] == -1; p = A[p], d++) { C1[p] = (int)cycle1.size(), D1[p] = d, c.push_back(p); }
cycle1.push_back(c);
}
std::vector<std::vector<int>> cycle2;
std::vector<int> C2(N, -1), D2(N, -1);
for (int i = 0; i < N; i++) {
if (C2[i] != -1) { continue; }
std::vector<int> c;
for (int p = i, d = 0; C2[p] == -1; p = B[p], d++) { C2[p] = (int)cycle2.size(), D2[p] = d, c.push_back(p); }
cycle2.push_back(c);
}
std::map<ll, std::vector<ll>> ds;
for (int i = 0; i < N; i++) {
const ll c1 = C1[i], c2 = C2[i], d = D2[i] - D1[i];
const ll S1 = cycle1[c1].size(), S2 = cycle2[c2].size(), G = gcd(S1, S2), D = ((d % G) + G) % G;
(D2[i] += S2 - D) %= S2;
const ll C = c1 * (N + 1) * (N + 1) + c2 * (N + 1) + D;
using P = std::pair<ll, ll>;
std::vector<P> mods;
ll M1 = S1, V1 = D1[i], M2 = S2, V2 = D2[i];
const auto p = extgcd(M1, M2);
const ll S = lcm(S1, S2);
const ll M = (S + ((M1 * p.first) * (V2 - V1) / (M1 * p.first + M2 * p.second) + V1) % S) % S;
ds[C].push_back(M);
}
ll ans = 0;
for (auto& p : ds) {
const ll code = p.first, c1 = code / (N + 1) / (N + 1), c2 = (code / (N + 1)) % (N + 1), S1 = cycle1[c1].size(), S2 = cycle2[c2].size();
const ll S = lcm(S1, S2);
auto& v = p.second;
std::sort(v.begin(), v.end());
const int V = v.size();
for (int i = 0; i < V; i++) {
const ll dis = (i == V - 1 ? v[0] + S - v[i] - 1 : v[i + 1] - v[i] - 1) % MOD;
(ans += ((dis) * (dis + 1)) / 2) %= MOD;
}
}
std::cout << ans << std::endl;
return 0;
}