結果

問題 No.2718 Best Consonance
ユーザー noya2noya2
提出日時 2024-04-05 21:55:07
言語 C++23
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 2,286 ms / 4,000 ms
コード長 7,087 bytes
コンパイル時間 4,184 ms
コンパイル使用メモリ 293,656 KB
実行使用メモリ 144,460 KB
最終ジャッジ日時 2024-04-10 10:50:09
合計ジャッジ時間 19,662 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge3
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 8 ms
10,128 KB
testcase_01 AC 9 ms
10,060 KB
testcase_02 AC 8 ms
10,064 KB
testcase_03 AC 7 ms
10,196 KB
testcase_04 AC 8 ms
10,180 KB
testcase_05 AC 7 ms
10,060 KB
testcase_06 AC 8 ms
10,204 KB
testcase_07 AC 8 ms
10,256 KB
testcase_08 AC 8 ms
10,348 KB
testcase_09 AC 11 ms
10,068 KB
testcase_10 AC 10 ms
10,144 KB
testcase_11 AC 11 ms
10,176 KB
testcase_12 AC 10 ms
10,244 KB
testcase_13 AC 11 ms
10,240 KB
testcase_14 AC 562 ms
29,516 KB
testcase_15 AC 411 ms
25,272 KB
testcase_16 AC 454 ms
26,360 KB
testcase_17 AC 341 ms
23,352 KB
testcase_18 AC 491 ms
27,380 KB
testcase_19 AC 394 ms
24,760 KB
testcase_20 AC 563 ms
29,520 KB
testcase_21 AC 522 ms
28,476 KB
testcase_22 AC 543 ms
28,656 KB
testcase_23 AC 301 ms
22,016 KB
testcase_24 AC 606 ms
31,700 KB
testcase_25 AC 610 ms
31,576 KB
testcase_26 AC 614 ms
31,648 KB
testcase_27 AC 617 ms
31,568 KB
testcase_28 AC 584 ms
31,532 KB
testcase_29 AC 584 ms
31,600 KB
testcase_30 AC 603 ms
31,584 KB
testcase_31 AC 616 ms
31,532 KB
testcase_32 AC 600 ms
31,496 KB
testcase_33 AC 631 ms
31,728 KB
testcase_34 AC 8 ms
10,172 KB
testcase_35 AC 9 ms
10,220 KB
testcase_36 AC 659 ms
48,244 KB
testcase_37 AC 8 ms
10,212 KB
testcase_38 AC 2,286 ms
144,460 KB
testcase_39 AC 8 ms
10,312 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

#line 2 "/Users/noya2/Desktop/Noya2_library/template/template.hpp"
using namespace std;

#include<bits/stdc++.h>
#line 1 "/Users/noya2/Desktop/Noya2_library/template/inout_old.hpp"
namespace noya2 {

template <typename T, typename U>
ostream &operator<<(ostream &os, const pair<T, U> &p){
    os << p.first << " " << p.second;
    return os;
}
template <typename T, typename U>
istream &operator>>(istream &is, pair<T, U> &p){
    is >> p.first >> p.second;
    return is;
}

template <typename T>
ostream &operator<<(ostream &os, const vector<T> &v){
    int s = (int)v.size();
    for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i];
    return os;
}
template <typename T>
istream &operator>>(istream &is, vector<T> &v){
    for (auto &x : v) is >> x;
    return is;
}

void in() {}
template <typename T, class... U>
void in(T &t, U &...u){
    cin >> t;
    in(u...);
}

void out() { cout << "\n"; }
template <typename T, class... U, char sep = ' '>
void out(const T &t, const U &...u){
    cout << t;
    if (sizeof...(u)) cout << sep;
    out(u...);
}

template<typename T>
void out(const vector<vector<T>> &vv){
    int s = (int)vv.size();
    for (int i = 0; i < s; i++) out(vv[i]);
}

struct IoSetup {
    IoSetup(){
        cin.tie(nullptr);
        ios::sync_with_stdio(false);
        cout << fixed << setprecision(15);
        cerr << fixed << setprecision(7);
    }
} iosetup_noya2;

} // namespace noya2
#line 1 "/Users/noya2/Desktop/Noya2_library/template/const.hpp"
namespace noya2{

const int iinf = 1'000'000'007;
const long long linf = 2'000'000'000'000'000'000LL;
const long long mod998 =  998244353;
const long long mod107 = 1000000007;
const long double pi = 3.14159265358979323;
const vector<int> dx = {0,1,0,-1,1,1,-1,-1};
const vector<int> dy = {1,0,-1,0,1,-1,-1,1};
const string ALP = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
const string alp = "abcdefghijklmnopqrstuvwxyz";
const string NUM = "0123456789";

void yes(){ cout << "Yes\n"; }
void no(){ cout << "No\n"; }
void YES(){ cout << "YES\n"; }
void NO(){ cout << "NO\n"; }
void yn(bool t){ t ? yes() : no(); }
void YN(bool t){ t ? YES() : NO(); }

} // namespace noya2
#line 1 "/Users/noya2/Desktop/Noya2_library/template/utils.hpp"
namespace noya2{

unsigned long long inner_binary_gcd(unsigned long long a, unsigned long long b){
    if (a == 0 || b == 0) return a + b;
    int n = __builtin_ctzll(a); a >>= n;
    int m = __builtin_ctzll(b); b >>= m;
    while (a != b) {
        int mm = __builtin_ctzll(a - b);
        bool f = a > b;
        unsigned long long c = f ? a : b;
        b = f ? b : a;
        a = (c - b) >> mm;
    }
    return a << min(n, m);
}

template<typename T> T gcd_fast(T a, T b){ return static_cast<T>(inner_binary_gcd(abs(a),abs(b))); }

long long sqrt_fast(long long n) {
    if (n <= 0) return 0;
    long long x = sqrt(n);
    while ((x + 1) * (x + 1) <= n) x++;
    while (x * x > n) x--;
    return x;
}

template<typename T> T floor_div(const T n, const T d) {
    assert(d != 0);
    return n / d - static_cast<T>((n ^ d) < 0 && n % d != 0);
}

template<typename T> T ceil_div(const T n, const T d) {
    assert(d != 0);
    return n / d + static_cast<T>((n ^ d) >= 0 && n % d != 0);
}

template<typename T> void uniq(vector<T> &v){
    sort(v.begin(),v.end());
    v.erase(unique(v.begin(),v.end()),v.end());
}

template <typename T, typename U> inline bool chmin(T &x, U y) { return (y < x) ? (x = y, true) : false; }

template <typename T, typename U> inline bool chmax(T &x, U y) { return (x < y) ? (x = y, true) : false; }

template<typename T> inline bool range(T l, T x, T r){ return l <= x && x < r; }

} // namespace noya2
#line 8 "/Users/noya2/Desktop/Noya2_library/template/template.hpp"

#define rep(i,n) for (int i = 0; i < (int)(n); i++)
#define repp(i,m,n) for (int i = (m); i < (int)(n); i++)
#define reb(i,n) for (int i = (int)(n-1); i >= 0; i--)
#define all(v) (v).begin(),(v).end()

using ll = long long;
using ld = long double;
using uint = unsigned int;
using ull = unsigned long long;
using pii = pair<int,int>;
using pll = pair<ll,ll>;
using pil = pair<int,ll>;
using pli = pair<ll,int>;

namespace noya2{

/*　~ (. _________ . /)　*/

}

using namespace noya2;


#line 2 "c.cpp"

#line 2 "/Users/noya2/Desktop/Noya2_library/math/sieve.hpp"

#line 4 "/Users/noya2/Desktop/Noya2_library/math/sieve.hpp"

namespace noya2{

struct Sieve {
    vector<int> primes, factor, mu;
    Sieve (int N = 1024){
        build(N);
    }
    void request(int N){
        int len = n_max();
        if (len >= N) return ;
        while (len < N) len <<= 1;
        build(len);
    }
    int n_max(){ return factor.size()-1; }
  private:
    void build (int N){
        primes.clear();
        factor.resize(N+1); fill(factor.begin(),factor.end(),0);
        mu.resize(N+1); fill(mu.begin(),mu.end(),1);

        for(int n = 2; n <= N; n++) {
            if (factor[n] == 0){
                primes.push_back(n);
                factor[n] = n;
                mu[n] = -1;
            }
            for (int p : primes){
                if(n * p > N || p > factor[n]) break;
                factor[n * p] = p;
                mu[n * p] = p == factor[n] ? 0 : -mu[n];
            }
        }
    }
} sieve;

int mobius_sieve(int n){
    assert(1 <= n && n <= sieve.n_max());
    return sieve.mu[n];
}
bool is_prime_sieve(int n){
    if (n <= 2) return n == 2;
    assert(n <= sieve.n_max());
    return sieve.factor[n] == n;
}

vector<pair<int,int>> prime_factorization_sieve(int n){
    assert(1 <= n && n <= sieve.n_max());
    vector<int> facts;
    while (n > 1){
        int p = sieve.factor[n];
        facts.push_back(p);
        n /= p;
    }
    vector<pair<int,int>> pes;
    int siz = facts.size();
    for (int l = 0, r = 0; l < siz; l = r){
        while (r < siz && facts[r] == facts[l]) r++;
        pes.emplace_back(facts[l],r-l);
    }
    return pes;
}

vector<int> divisor_enumeration_sieve(int n){
    auto pes = prime_factorization_sieve(n);
    vector<int> divs = {1};
    for (auto [p, e] : pes){
        vector<int> nxt; nxt.reserve(divs.size() * (e+1));
        for (auto x : divs){
            for (int tt = 0; tt <= e; tt++){
                nxt.push_back(x);
                x *= p;
            }
        }
        swap(divs,nxt);
    }
    return divs;
}

} // namespace noya2
#line 4 "c.cpp"

const int mx = 200010;

void solve(){
    int n; in(n);
    vector<ll> a(n), b(n);
    rep(i,n) in(a[i],b[i]);
    vector<vector<int>> ids(mx);
    rep(i,n){
        for (int d : divisor_enumeration_sieve(a[i])){
            ids[d].emplace_back(i);
        }
    }
    ll ans = 0;
    vector<ll> c(n);
    for (int d = 1; d < mx; d++){
        for (int i : ids[d]){
            c[i] = a[i]/d * b[i];
        }
        sort(all(ids[d]),[&](int l, int r){
            return c[l] > c[r];
        });
        ll mi = iinf;
        for (int i : ids[d]){
            chmax(ans,c[i]/(a[i]/d*mi));
            chmin(mi,a[i]/d);
        }
    }
    out(ans);
}

int main(){
    sieve.request(mx);
    int t = 1; //in(t);
    while (t--) { solve(); }
}
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