結果
| 問題 | No.590 Replacement |
| ユーザー |
 Pachicobue
|
| 提出日時 | 2019-04-26 20:13:27 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
AC
|
| 実行時間 | 143 ms / 2,000 ms |
| コード長 | 11,594 bytes |
| コンパイル時間 | 2,511 ms |
| コンパイル使用メモリ | 223,964 KB |
| 実行使用メモリ | 27,744 KB |
| 最終ジャッジ日時 | 2024-11-24 23:30:47 |
| 合計ジャッジ時間 | 6,689 ms |
|
ジャッジサーバーID （参考情報） |
judge2 / judge5 |
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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 ms
6,816 KB |
| testcase_01 | AC | 2 ms
6,816 KB |
| testcase_02 | AC | 2 ms
6,820 KB |
| testcase_03 | AC | 2 ms
6,816 KB |
| testcase_04 | AC | 2 ms
6,816 KB |
| testcase_05 | AC | 2 ms
6,816 KB |
| testcase_06 | AC | 2 ms
6,816 KB |
| testcase_07 | AC | 8 ms
6,816 KB |
| testcase_08 | AC | 5 ms
6,820 KB |
| testcase_09 | AC | 9 ms
6,816 KB |
| testcase_10 | AC | 5 ms
6,820 KB |
| testcase_11 | AC | 3 ms
6,820 KB |
| testcase_12 | AC | 8 ms
6,816 KB |
| testcase_13 | AC | 38 ms
6,816 KB |
| testcase_14 | AC | 56 ms
6,816 KB |
| testcase_15 | AC | 5 ms
6,820 KB |
| testcase_16 | AC | 15 ms
6,816 KB |
| testcase_17 | AC | 24 ms
6,820 KB |
| testcase_18 | AC | 86 ms
6,824 KB |
| testcase_19 | AC | 89 ms
6,816 KB |
| testcase_20 | AC | 21 ms
6,820 KB |
| testcase_21 | AC | 112 ms
7,492 KB |
| testcase_22 | AC | 105 ms
7,804 KB |
| testcase_23 | AC | 116 ms
7,464 KB |
| testcase_24 | AC | 122 ms
7,800 KB |
| testcase_25 | AC | 119 ms
7,680 KB |
| testcase_26 | AC | 117 ms
7,420 KB |
| testcase_27 | AC | 116 ms
7,556 KB |
| testcase_28 | AC | 118 ms
7,552 KB |
| testcase_29 | AC | 115 ms
7,552 KB |
| testcase_30 | AC | 118 ms
7,552 KB |
| testcase_31 | AC | 116 ms
7,648 KB |
| testcase_32 | AC | 122 ms
8,132 KB |
| testcase_33 | AC | 2 ms
6,820 KB |
| testcase_34 | AC | 2 ms
6,816 KB |
| testcase_35 | AC | 1 ms
6,816 KB |
| testcase_36 | AC | 82 ms
7,928 KB |
| testcase_37 | AC | 80 ms
8,056 KB |
| testcase_38 | AC | 78 ms
7,924 KB |
| testcase_39 | AC | 76 ms
7,924 KB |
| testcase_40 | AC | 119 ms
13,556 KB |
| testcase_41 | AC | 143 ms
13,556 KB |
| testcase_42 | AC | 78 ms
8,072 KB |
| testcase_43 | AC | 77 ms
7,600 KB |
| testcase_44 | AC | 127 ms
27,744 KB |
| testcase_45 | AC | 80 ms
7,924 KB |
| testcase_46 | AC | 80 ms
7,928 KB |
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 dP dP dP !//
//! 88 '8b '8b 88 88 88 !//
//! 88 88 88 .d8888b. .d888b88 88 88d888b. d8888P !//
//! 88 88 88 88' '88 88' '88 88 88' '88 88 !//
//! 88 88 88 88. .88 88. .88 88 88 88 88 !//
//! dP dP dP '88888P' '88888P8 dP dP dP dP !//
//!========================================================!//
template <uint mod>
class ModInt
{
private:
uint v;
static uint norm(const uint& x) { return x < mod ? x : x - mod; }
static ModInt make(const uint& x)
{
ModInt m;
return m.v = x, m;
}
static ModInt power(ModInt x, ll n)
{
ModInt ans = 1;
for (; n; n >>= 1, x *= x) {
if (n & 1) { ans *= x; }
}
return ans;
}
static ModInt inv(const ModInt& x) { return ModInt{inverse((ll)x.v, (ll)mod)}; }
public:
ModInt() : v{0} {}
ModInt(const ll val) : v{norm(uint(val % (ll)mod + (ll)mod))} {}
ModInt(const ModInt<mod>& n) : v{n()} {}
explicit operator bool() const { return v != 0; }
ModInt<mod>& operator=(const ModInt<mod>& n) { return v = n(), (*this); }
ModInt<mod>& operator=(const ll val) { return v = norm(uint(val % (ll)mod + (ll)mod)), (*this); }
ModInt<mod> operator+() const { return *this; }
ModInt<mod> operator-() const { return make(norm(mod - v)); }
ModInt<mod> operator+(const ModInt<mod>& val) const { return make(norm(v + val())); }
ModInt<mod> operator-(const ModInt<mod>& val) const { return make(norm(v + mod - val())); }
ModInt<mod> operator*(const ModInt<mod>& val) const { return make((uint)((ll)v * val() % (ll)mod)); }
ModInt<mod> operator/(const ModInt<mod>& val) const { return *this * inv(val()); }
ModInt<mod>& operator+=(const ModInt<mod>& val) { return *this = *this + val; }
ModInt<mod>& operator-=(const ModInt<mod>& val) { return *this = *this - val; }
ModInt<mod>& operator*=(const ModInt<mod>& val) { return *this = *this * val; }
ModInt<mod>& operator/=(const ModInt<mod>& val) { return *this = *this / val; }
ModInt<mod> operator+(const ll val) const { return ModInt{v + val}; }
ModInt<mod> operator-(const ll val) const { return ModInt{v - val}; }
ModInt<mod> operator*(const ll val) const { return ModInt{(ll)v * (val % mod)}; }
ModInt<mod> operator/(const ll val) const { return ModInt{(ll)v * inv(val)}; }
template <typename I>
ModInt<mod> operator^(const I n) const { return power(v, n); }
ModInt<mod>& operator+=(const ll val) { return *this = *this + val; }
ModInt<mod>& operator-=(const ll val) { return *this = *this - val; }
ModInt<mod>& operator*=(const ll val) { return *this = *this * val; }
ModInt<mod>& operator/=(const ll val) { return *this = *this / val; }
template <typename I>
ModInt<mod>& operator^=(const I n) { return (*this) = ((*this) ^ n); }
bool operator==(const ModInt<mod>& val) const { return v == val.v; }
bool operator!=(const ModInt<mod>& val) const { return not(*this == val); }
bool operator==(const ll val) const { return v == norm(uint((ll)mod + val % (ll)mod)); }
bool operator!=(const ll val) const { return not(*this == val); }
uint operator()() const { return v; }
};
template <uint mod>
inline ModInt<mod> operator+(const ll val, const ModInt<mod>& n) { return n + val; }
template <uint mod>
inline ModInt<mod> operator-(const ll val, const ModInt<mod>& n) { return ModInt<mod>{val - (ll)n()}; }
template <uint mod>
inline ModInt<mod> operator*(const ll val, const ModInt<mod>& n) { return n * val; }
template <uint mod>
inline ModInt<mod> operator/(const ll val, const ModInt<mod>& n) { return ModInt<mod>(val) / n; }
template <uint mod>
inline bool operator==(const ll val, const ModInt<mod>& n) { return n == val; }
template <uint mod>
inline bool operator!=(const ll val, const ModInt<mod>& n) { return not(val == n); }
template <uint mod>
inline std::istream& operator>>(std::istream& is, ModInt<mod>& n)
{
uint v;
return is >> v, n = v, is;
}
template <uint mod>
std::ostream& operator<<(std::ostream& os, const ModInt<mod>& n) { return (os << n()); }
//!============================================!//
//! 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()
{
using mint = ModInt<MOD>;
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);
}
mint 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 mint dis = (i == V - 1 ? v[0] + S - v[i] - 1 : v[i + 1] - v[i] - 1);
ans += ((dis) * (dis + 1)) / 2;
}
}
std::cout << ans << std::endl;
return 0;
}