#1179753 (C++17) No.3651 K-th Sum of Divisors

• 問題: No.3651 K-th Sum of Divisors
• ユーザー: 👑 potato167
• 提出日時: 2026-08-28 21:29:42
• 言語: C++17 (gcc 15.2.0 + boost 1.90.0)
• 結果: AC
• 実行時間: 19 ms / 2,000 ms
• コード長: 5,447 bytes
• コンパイル時間: 2,398 ms
• コンパイル使用メモリ: 220,348 KB
• 実行使用メモリ: 27,648 KB
• 最終ジャッジ日時: 2026-08-28 21:30:24
• 合計ジャッジ時間: 4,935 ms
• ジャッジサーバーID （参考情報）: judge1_0 / judge3_0

ファイルパターン	結果
sample	AC * 3
other	AC * 55

コンパイルメッセージ

/Users/Shared/po167_library/ds/Doubling.hpp:52:50: warning: use of 'auto' in parameter declaration only available with '-std=c++20' or '-fconcepts' [-Wc++20-extensions]

ソースコード

#line 1 "e.cpp"
#include <bits/stdc++.h>
using namespace std;
using ll=long long;
const ll ILL=2167167167167167167;
const int INF=2100000000;
#define rep(i,a,b) for (int i=(int)(a);i<(int)(b);i++)
#define all(p) p.begin(),p.end()
template<class T> using pq_ = priority_queue<T, vector<T>, greater<T>>;
template<class T> int LB(vector<T> &v,T a){return lower_bound(v.begin(),v.end(),a)-v.begin();}
template<class T> int UB(vector<T> &v,T a){return upper_bound(v.begin(),v.end(),a)-v.begin();}
template<class T> bool chmin(T &a,T b){if(b<a){a=b;return 1;}else return 0;}
template<class T> bool chmax(T &a,T b){if(a<b){a=b;return 1;}else return 0;}
template<class T> void So(vector<T> &v) {sort(v.begin(),v.end());}
template<class T> void Sore(vector<T> &v) {sort(v.begin(),v.end(),[](T x,T y){return x>y;});}
bool yneos(bool a,bool upp=false){if(a){cout<<(upp?"YES\n":"Yes\n");}else{cout<<(upp?"NO\n":"No\n");}return a;}
template<class T> void vec_out(vector<T> &p,int ty=0){
    if(ty==2){cout<<'{';for(int i=0;i<(int)p.size();i++){if(i){cout<<",";}cout<<'"'<<p[i]<<'"';}cout<<"}\n";}
    else{if(ty==1){cout<<p.size()<<"\n";}for(int i=0;i<(int)(p.size());i++){if(i) cout<<" ";cout<<p[i];}cout<<"\n";}}
template<class T> T vec_min(vector<T> &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmin(ans,x);return ans;}
template<class T> T vec_max(vector<T> &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmax(ans,x);return ans;}
template<class T> T vec_sum(vector<T> &a){T ans=T(0);for(auto &x:a) ans+=x;return ans;}
int pop_count(long long a){int res=0;while(a){res+=(int)(a&1),a>>=1;}return res;}
template<class T> T square(T a){return a * a;}


//Nの正の約数を列挙する
vector<long long> Divisors(long long N){
    vector<long long> p,q;
    long long i=1,K=0;
    while(i*i<N){
        if(N%i==0){
            p.push_back(i);
            q.push_back(N/i);
            K++;
        }
        i++;
    }
    if(i*i==N) p.push_back(i);
    for(int i=K-1;i>=0;i--){
        p.push_back(q[i]);
    }
    return p;
}

#line 4 "/Users/Shared/po167_library/ds/Doubling.hpp"
namespace po167{

template<class T, T(*op)(T, T)>
struct Doubling_op{
    struct result{
        long long times;
        int ind;
        T val;
    };
    int n;
    int depth;
    std::vector<std::vector<int>> index;
    std::vector<std::vector<T>> val;
    Doubling_op(std::vector<int> p, std::vector<T> v, long long lim = (1ll << 60) - 1){
        n = p.size();
        for (auto x : p) assert(0 <= x && x < n);
        assert(n == (int)v.size());
        depth = 1;
        while ((1ll << depth) <= lim) depth++;
        index.resize(depth);
        val.resize(depth);
        index[0] = p;
        val[0] = v;
        for (int i = 1; i < depth; i++){
            index[i].resize(n);
            val[i].resize(n);
            for (int j = 0; j < n; j++){
                int tmp = index[i - 1][j];
                index[i][j] = index[i - 1][tmp];
                val[i][j] = op(val[i - 1][j], val[i - 1][tmp]);
            }
        }
    }
    result query(int start_ind, T start_val, long long times){
        assert(0 <= start_ind && start_ind < n);
        assert(0 <= times && times < (1ll << depth));
        int i = 0;
        long long TIMES = times;
        while (times){
            if (times & 1){
                start_val = op(start_val, val[i][start_ind]);
                start_ind = index[i][start_ind];
            }
            i++;
            times >>= 1;
        }
        return {TIMES, start_ind, start_val};
    }
    result max_right(int start_ind, T start_val, auto f){
        if (!f(start_val)) return {-1, start_ind, start_val};
        long long times = 0;
        for (int d = depth - 1; d >= 0; d--){
            if (f(op(start_val, val[d][start_ind]))){
                start_val = op(start_val, val[d][start_ind]);
                start_ind = index[d][start_ind];
                times += (1ll << d);
            }
        }
        return {times, start_ind, start_val};
    }
};

struct Doubling{
    int n;
    int depth;
    std::vector<std::vector<int>> index;
    Doubling(std::vector<int> p, long long lim = (1ll << 60) - 1){
        n = p.size();
        for (auto x : p) assert(0 <= x && x < n);
        depth = 1;
        while ((1ll << depth) <= lim) depth++;
        index.resize(depth);
        index[0] = p;
        for (int i = 1; i < depth; i++){
            index[i].resize(n);
            for (int j = 0; j < n; j++){
                index[i][j] = index[i - 1][index[i - 1][j]];
            }
        }
    }
    int query(int ind, long long times){
        assert(0 <= ind && ind < n);
        assert(0 <= times && times < (1ll << depth));
        int i = 0;
        while (times){
            if (times & 1) ind = index[i][ind];
            i++;
            times >>= 1;
        }
        return ind;
    }
};
}
#line 46 "e.cpp"

void solve();
// DEAR MYSTERIES / TOMOO
int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);

    int t = 1;
    // cin >> t;
    rep(i, 0, t) solve();
}

void solve(){
    const int P = 100'003;
    vector<int> to(P);
    rep(i, 1, P) {
        for (int j = i; j < P; j += i) {
            to[j] = (to[j] + i) % P;
        }
    }
    po167::Doubling D(to);
    ll N, K;
    cin >> N >> K;
    auto tmp = Divisors(N);
    ll st = vec_sum(tmp) % P;
    if (K == 1) {
        cout << N << "\n";
    }
    else {
        cout << D.query(st, K - 2) << "\n";
    }
}