結果
| 問題 |
No.2218 Multiple LIS
|
| コンテスト | |
| ユーザー |
 rin204
|
| 提出日時 | 2023-02-17 21:30:53 |
| 言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 398 ms / 3,000 ms |
| コード長 | 8,409 bytes |
| コンパイル時間 | 2,089 ms |
| コンパイル使用メモリ | 211,812 KB |
| 最終ジャッジ日時 | 2025-02-10 16:19:40 |
|
ジャッジサーバーID （参考情報） |
judge3 / judge3 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 39 |
ソースコード
#line 1 "A.cpp"
// #pragma GCC target("avx2")
// #pragma GCC optimize("O3")
// #pragma GCC optimize("unroll-loops")
#include<bits/stdc++.h>
using namespace std;
using ll = long long;
using ull = unsigned long long;
template <class T>
using pq = priority_queue<T>;
template <class T>
using qp = priority_queue<T, vector<T>, greater<T>>;
#define vec(T, A, ...) vector<T> A(__VA_ARGS__);
#define vvec(T, A, h, ...) vector<vector<T>> A(h, vector<T>(__VA_ARGS__));
#define vvvec(T, A, h1, h2, ...) vector<vector<vector<T>>> A(h1, vector<vector<T>>(h2, vector<T>(__VA_ARGS__)));
#ifndef RIN__LOCAL
#define endl "\n"
#endif
#define spa ' '
#define len(A) A.size()
#define all(A) begin(A), end(A)
#define fori1(a) for(ll _ = 0; _ < (a); _++)
#define fori2(i, a) for(ll i = 0; i < (a); i++)
#define fori3(i, a, b) for(ll i = (a); i < (b); i++)
#define fori4(i, a, b, c) for(ll i = (a); ((c) > 0 || i > (b)) && ((c) < 0 || i < (b)); i += (c))
#define overload4(a, b, c, d, e, ...) e
#define fori(...) overload4(__VA_ARGS__, fori4, fori3, fori2, fori1)(__VA_ARGS__)
template <typename T>
vector<tuple<ll, T>> ENUMERATE(vector<T> &A, ll s = 0){
vector<tuple<ll, T>> ret(A.size());
for(int i = 0; i < A.size(); i++) ret[i] = {i + s, A[i]};
return ret;
}
vector<tuple<ll, char>> ENUMERATE(string &A, ll s = 0){
vector<tuple<ll, char>> ret(A.size());
for(int i = 0; i < A.size(); i++) ret[i] = {i + s, A[i]};
return ret;
}
#define enum1(A) fori(A.size())
#define enum2(a, A) for(auto a:A)
#define enum3(i, a, A) for(auto&& [i, a]: ENUMERATE(A))
#define enum4(i, a, A, s) for(auto&& [i, a]: ENUMERATE(A, s))
#define enum(...) overload4(__VA_ARGS__, enum4, enum3, enum2, enum1)(__VA_ARGS__)
template <typename T, typename S>
vector<tuple<T, S>> ZIP(vector<T> &A, vector<S> &B){
int n = min(A.size(), B.size());
vector<tuple<T, S>> ret(n);
for(int i = 0; i < n; i++) ret[i] = {A[i], B[i]};
return ret;
}
template <typename T, typename S>
vector<tuple<ll, T, S>> ENUMZIP(vector<T> &A, vector<S> &B, ll s = 0){
int n = min(A.size(), B.size());
vector<tuple<ll, T, S>> ret(n);
for(int i = 0; i < n; i++) ret[i] = {i + s, A[i], B[i]};
return ret;
}
#define zip4(a, b, A, B) for(auto&& [a, b]: ZIP(A, B))
#define enumzip5(i, a, b, A, B) for(auto&& [i, a, b]: ENUMZIP(A, B))
#define enumzip6(i, a, b, A, B, s) for(auto&& [i, a, b]: ENUMZIP(A, B, s))
#define overload6(a, b, c, d, e, f, g, ...) g
#define zip(...) overload6(__VA_ARGS__, enumzip6, enumzip5, zip4, _, _, _)(__VA_ARGS__)
vector<char> stoc(string &S){
int n = S.size();
vector<char> ret(n);
for(int i = 0; i < n; i++) ret[i] = S[i];
return ret;
}
#define INT(...) int __VA_ARGS__; inp(__VA_ARGS__);
#define LL(...) ll __VA_ARGS__; inp(__VA_ARGS__);
#define STRING(...) string __VA_ARGS__; inp(__VA_ARGS__);
#define CHAR(...) char __VA_ARGS__; inp(__VA_ARGS__);
#define VEC(T, A, n) vector<T> A(n); inp(A);
#define VVEC(T, A, n, m) vector<vector<T>> A(n, vector<T>(m)); inp(A);
const ll MOD1 = 1000000007;
const ll MOD9 = 998244353;
template<class T> auto min(const T& a){
return *min_element(all(a));
}
template<class T> auto max(const T& a){
return *max_element(all(a));
}
template <class T, class S>
inline bool chmax(T &a, const S &b) {
return (a < b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chmin(T &a, const S &b) {
return (a > b ? a = b, 1 : 0);
}
void FLUSH(){cout << flush;}
void print(){cout << endl;}
template <class Head, class... Tail>
void print(Head &&head, Tail &&... tail) {
cout << head;
if (sizeof...(Tail)) cout << spa;
print(forward<Tail>(tail)...);
}
template<typename T>
void print(vector<T> &A){
int n = A.size();
for(int i = 0; i < n; i++){
cout << A[i];
if(i == n - 1) cout << endl;
else cout << spa;
}
}
template<typename T>
void print(vector<vector<T>> &A){
for(auto &row: A) print(row);
}
template<typename T, typename S>
void print(pair<T, S> &A){
cout << A.first << spa << A.second << endl;
}
template<typename T, typename S>
void print(vector<pair<T, S>> &A){
for(auto &row: A) print(row);
}
template<typename T, typename S>
void prisep(vector<T> &A, S sep){
int n = A.size();
for(int i = 0; i < n; i++){
cout << A[i];
if(i == n - 1) cout << endl;
else cout << sep;
}
}
template<typename T, typename S>
void priend(T A, S end){
cout << A << end;
}
template<typename T>
void priend(T A){
priend(A, spa);
}
template<class... T>
void inp(T&... a){
(cin >> ... >> a);
}
template<typename T>
void inp(vector<T> &A){
for(auto &a:A) cin >> a;
}
template<typename T>
void inp(vector<vector<T>> &A){
for(auto &row:A) inp(row);
}
template<typename T, typename S>
void inp(pair<T, S> &A){
inp(A.first, A.second);
}
template<typename T, typename S>
void inp(vector<pair<T, S>> &A){
for(auto &row: A) inp(row.first, row.second);
}
template<typename T>
T sum(vector<T> &A){
T tot = 0;
for(auto a:A) tot += a;
return tot;
}
template<typename T>
pair<vector<T>, map<T, int>> compression(vector<T> X){
sort(all(X));
X.erase(unique(all(X)), X.end());
map<T, int> mp;
for(int i = 0; i < X.size(); i++) mp[X[i]] = i;
return {X, mp};
}
#line 2 "Library/C++/math/pollard_rho.hpp"
#line 2 "Library/C++/math/modpow.hpp"
template<typename T>
T modpow(T a, long long b, T MOD){
T ret = 1;
while(b > 0){
if(b & 1){
ret *= a;
ret %= MOD;
}
a *= a;
a %= MOD;
b >>= 1;
}
return ret;
}
#line 3 "Library/C++/math/millerRabin.hpp"
bool isPrime(long long n){
if(n <= 1) return false;
else if(n == 2) return true;
else if(n % 2 == 0) return false;
long long A[7] = {2, 325, 9375, 28178, 450775, 9780504, 1795265022};
long long s = 0;
long long d = n - 1;
while(d % 2 == 0){
d /= 2;
s++;
}
for(auto a: A){
if(a % n == 0) return true;
long long x = modpow<__int128_t>(a, d, n);
if(x != 1){
bool ng = true;
for(int i = 0; i < s; i++){
if(x == n - 1){
ng = false;
break;
};
x = __int128_t(x) * x % n;
}
if(ng) return false;
}
}
return true;
}
#line 4 "Library/C++/math/pollard_rho.hpp"
long long pollard(long long N) {
if (N % 2 == 0) return 2;
if (isPrime(N)) return N;
long long step = 0;
auto f = [&](long long x) -> long long {
return (__int128_t(x) * x + step) % N;
};
while (true) {
++step;
long long x = step, y = f(x);
while (true) {
long long p = gcd(y - x + N, N);
if (p == 0 || p == N) break;
if (p != 1) return p;
x = f(x);
y = f(f(y));
}
}
}
vector<long long> primefact(long long N) {
if (N == 1) return {};
long long p = pollard(N);
if (p == N) return {p};
vector<long long> left = primefact(p);
vector<long long> right = primefact(N / p);
left.insert(left.end(), right.begin(), right.end());
sort(left.begin(), left.end());
return left;
}
#line 3 "Library/C++/math/divisors.hpp"
#line 5 "Library/C++/math/divisors.hpp"
using namespace std;
vector<long long> divisors(long long n){
if(n == 1) return {1};
auto primes = primefact(n);
vector<long long> ret = {1};
primes.push_back(0);
long long bef = primes[0];
int row = 0;
for(auto p:primes){
if(p == bef) row++;
else{
int l = ret.size();
for(int i = 0; i < l; i++){
long long d = ret[i];
for(int j = 0; j < row; j++){
d *= bef;
ret.push_back(d);
}
}
bef = p;
row = 1;
}
}
sort(ret.begin(), ret.end());
return ret;
}
#line 188 "A.cpp"
void solve(){
LL(n);
VEC(int, A, n);
vec(int, dp, 100001, 0);
for(auto a:A){
auto divs = divisors(a);
int ma = 0;
for(auto d:divs) chmax(ma, dp[d]);
chmax(dp[a], ma + 1);
}
print(max(dp));
}
int main(){
cin.tie(0)->sync_with_stdio(0);
cout << fixed << setprecision(12);
int t;
t = 1;
// cin >> t;
while(t--) solve();
return 0;
}