#938848 (C++17) No.2589 Prepare Integers

提出ソース
結果

問題	No.2589 Prepare Integers
ユーザー	👑 Nachia
提出日時	2023-12-17 18:26:08
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	122 ms / 2,000 ms
コード長	14,332 bytes
コンパイル時間	1,431 ms
コンパイル使用メモリ	130,264 KB
実行使用メモリ	6,676 KB
最終ジャッジ日時	2023-12-17 18:26:12
合計ジャッジ時間	3,418 ms
ジャッジサーバーID （参考情報）	judge13 / judge11
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	2 ms 6,676 KB
testcase_01	AC	2 ms 6,676 KB
testcase_02	AC	2 ms 6,676 KB
testcase_03	AC	2 ms 6,676 KB
testcase_04	AC	122 ms 6,676 KB
testcase_05	AC	61 ms 6,676 KB
testcase_06	AC	37 ms 6,676 KB
testcase_07	AC	30 ms 6,676 KB
testcase_08	AC	10 ms 6,676 KB
testcase_09	AC	7 ms 6,676 KB
testcase_10	AC	7 ms 6,676 KB
testcase_11	AC	7 ms 6,676 KB
testcase_12	AC	44 ms 6,676 KB
testcase_13	AC	30 ms 6,676 KB
testcase_14	AC	27 ms 6,676 KB
testcase_15	AC	24 ms 6,676 KB
testcase_16	AC	23 ms 6,676 KB
testcase_17	AC	12 ms 6,676 KB
testcase_18	AC	10 ms 6,676 KB
testcase_19	AC	8 ms 6,676 KB
testcase_20	AC	7 ms 6,676 KB
testcase_21	AC	7 ms 6,676 KB
testcase_22	AC	7 ms 6,676 KB
testcase_23	AC	8 ms 6,676 KB
testcase_24	AC	8 ms 6,676 KB
testcase_25	AC	8 ms 6,676 KB
testcase_26	AC	7 ms 6,676 KB
testcase_27	AC	6 ms 6,676 KB
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ソースコード

raw source code
#ifdef NACHIA
// #define _GLIBCXX_DEBUG
#else
#define NDEBUG
#endif
#include <iostream>
#include <string>
#include <vector>
#include <algorithm>
#include <utility>
#include <queue>
#include <array>
#include <cmath>
#include <atcoder/modint>
using namespace std;
using i64 = long long;
using u64 = unsigned long long;
#define rep(i,n) for(i64 i=0; i<(i64)(n); i++)
#define repr(i,n) for(i64 i=(i64)(n)-1; i>=0; i--)
const i64 INF = 1001001001001001001;
const char* yn(bool x){ return x ? "Yes" : "No"; }
template<typename A> void chmin(A& l, const A& r){ if(r < l) l = r; }
template<typename A> void chmax(A& l, const A& r){ if(l < r) l = r; }
template<typename A> using nega_queue = priority_queue<A,vector<A>,greater<A>>;
using Modint = atcoder::static_modint<998244353>;

#include <iterator>
#include <functional>

template<class Elem> struct vec;

template<class Iter>
struct seq_view{
    using Ref = typename std::iterator_traits<Iter>::reference;
    using Elem = typename std::iterator_traits<Iter>::value_type;
    Iter a, b;
    Iter begin() const { return a; }
    Iter end() const { return b; }
    int size() const { return (int)(b-a); }
    seq_view(Iter first, Iter last) : a(first), b(last) {}
    seq_view sort() const { std::sort(a, b); return *this; }
    Ref& operator[](int x){ return *(a+x); }
    template<class F = std::less<Elem>, class ret = vec<int>> ret sorti(F f = F()) const {
        ret x(size()); for(int i=0; i<size(); i++) x[i] = i;
        x().sort([&](int l, int r){ return f(a[l],a[r]); });
        return x;
    }
    template<class ret = vec<Elem>> ret col() const { return ret(begin(), end()); }
    template<class F = std::equal_to<Elem>, class ret = vec<std::pair<Elem, int>>>
    ret rle(F eq = F()) const {
        auto x = ret();
        for(auto& a : (*this)){
            if(x.size() == 0 || !eq(x[x.size()-1].first, a)) x.emp(a, 1); else x[x.size()-1].second++;
        } return x;
    }
    template<class F> seq_view sort(F f) const { std::sort(a, b, f); return *this; }
    Iter uni() const { return std::unique(a, b); }
    Iter lb(const Elem& x) const { return std::lower_bound(a, b, x); }
    Iter ub(const Elem& x) const { return std::upper_bound(a, b, x); }
    int lbi(const Elem& x) const { return lb(x) - a; }
    int ubi(const Elem& x) const { return ub(x) - a; }
    seq_view bound(const Elem& l, const Elem& r) const { return { lb(l), lb(r) }; }
    template<class F> Iter lb(const Elem& x, F f) const { return std::lower_bound(a, b, x, f); }
    template<class F> Iter ub(const Elem& x, F f) const { return std::upper_bound(a, b, x, f); }
    template<class F> Iter when_true_to_false(F f) const {
        if(a == b) return a;
        return std::lower_bound(a, b, *a,
            [&](const Elem& x, const Elem&){ return f(x); });
    }
    seq_view same(Elem x) const { return { lb(x), ub(x) }; }
    template<class F> auto map(F f) const {
        vec<typename Iter::value_type> r;
        for(auto& x : *this) r.emp(f(x));
        return r;
    }
    Iter max() const { return std::max_element(a, b); }
    Iter min() const { return std::min_element(a, b); }
    template<class F = std::less<Elem>>
    Iter min(F f) const { return std::min_element(a, b, f); }
    seq_view rev() const { std::reverse(a, b); return *this; }
};

template<class Elem>
struct vec {
    using Base = typename std::vector<Elem>;
    using Iter = typename Base::iterator;
    using CIter = typename Base::const_iterator;
    using View = seq_view<Iter>;
    using CView = seq_view<CIter>;

    vec(){}
    explicit vec(int n, const Elem& value = Elem()) : a(0<n?n:0, value) {}
    template <class I2> vec(I2 first, I2 last) : a(first, last) {}
    vec(std::initializer_list<Elem> il) : a(std::move(il)) {}
    vec(Base b) : a(std::move(b)) {}
    operator Base() const { return a; }

    Iter begin(){ return a.begin(); }
    CIter begin() const { return a.begin(); }
    Iter end(){ return a.end(); }
    CIter end() const { return a.end(); }
    int size() const { return a.size(); }
    bool empty() const { return a.empty(); }
    Elem& back(){ return a.back(); }
    const Elem& back() const { return a.back(); }
    vec sortunied(){ vec x = *this; x().sort(); x.a.erase(x().uni(), x.end()); return x; }
    Iter operator()(int x){ return a.begin() + x; }
    CIter operator()(int x) const { return a.begin() + x; }
    View operator()(int l, int r){ return { (*this)(l), (*this)(r) }; }
    CView operator()(int l, int r) const { return { (*this)(l), (*this)(r) }; }
    View operator()(){ return (*this)(0,size()); }
    CView operator()() const { return (*this)(0,size()); }
    Elem& operator[](int x){ return a[x]; }
    const Elem& operator[](int x) const { return a[x]; }
    Base& operator*(){ return a; }
    const Base& operator*() const { return a; }
    vec& push(Elem args){
        a.push_back(std::move(args));
        return *this;
    }
    template<class... Args>
    vec& emp(Args &&... args){
        a.emplace_back(std::forward<Args>(args) ...);
        return *this;
    }
    template<class Range>
    vec& app(Range& x){ for(auto& v : a) emp(v); }
    Elem pop(){
        Elem x = std::move(a.back());
        a.pop_back(); return x;
    }
    bool operator==(const vec& r) const { return a == r.a; }
    bool operator!=(const vec& r) const { return a != r.a; }
    bool operator<(const vec& r) const { return a < r.a; }
    bool operator<=(const vec& r) const { return a <= r.a; }
    bool operator>(const vec& r) const { return a > r.a; }
    bool operator>=(const vec& r) const { return a >= r.a; }
    vec<vec<Elem>> pile(int n) const { return vec<vec<Elem>>(n, *this); }
    template<class F> vec& filter(F f){
        int p = 0;
        for(int q=0; q<size(); q++) if(f(a[q])) std::swap(a[p++],a[q]);
        a.resize(p); return *this;
    }
private: Base a;
};

template<class IStr, class U, class T>
IStr& operator>>(IStr& is, vec<std::pair<U,T>>& v){ for(auto& x:v){ is >> x.first >> x.second; } return is; }
template<class IStr, class T>
IStr& operator>>(IStr& is, vec<T>& v){ for(auto& x:v){ is >> x; } return is; }
template<class OStr, class T>
OStr& operator<<(OStr& os, const vec<T>& v){
    for(int i=0; i<v.size(); i++){
        if(i){ os << ' '; } os << v[i];
    } return os;
}

#include <cassert>
namespace nachia{

// ax + by = gcd(a,b)
// return ( x, - )
std::pair<long long, long long> ExtGcd(long long a, long long b){
    long long x = 1, y = 0;
    while(b){
        long long u = a / b;
        std::swap(a-=b*u, b);
        std::swap(x-=y*u, y);
    }
    return std::make_pair(x, a);
}

} // namespace nachia

#include <unordered_map>
#include <cstdint>


namespace nachia{

class Xoshiro256pp{
public:

    using i32 = int32_t;
    using u32 = uint32_t;
    using i64 = int64_t;
    using u64 = uint64_t;


private:
    uint64_t s[4];

    // https://prng.di.unimi.it/xoshiro256plusplus.c
    static inline uint64_t rotl(const uint64_t x, int k) noexcept {
        return (x << k) | (x >> (64 - k));
    }
    inline uint64_t gen(void) noexcept {
        const uint64_t result = rotl(s[0] + s[3], 23) + s[0];
        const uint64_t t = s[1] << 17;
        s[2] ^= s[0];
        s[3] ^= s[1];
        s[1] ^= s[2];
        s[0] ^= s[3];
        s[2] ^= t;
        s[3] = rotl(s[3], 45);
        return result;
    }

    // https://xoshiro.di.unimi.it/splitmix64.c
    u64 splitmix64(u64& x) {
        u64 z = (x += 0x9e3779b97f4a7c15);
        z = (z ^ (z >> 30)) * 0xbf58476d1ce4e5b9;
        z = (z ^ (z >> 27)) * 0x94d049bb133111eb;
        return z ^ (z >> 31);
    }

public:

    void seed(u64 x = 7001){
        assert(x != 0);
        s[0] = x;
        for(int i=1; i<4; i++) s[i] = splitmix64(x);
    }

    Xoshiro256pp(){ seed(); }
    
    u64 rng64() { return gen(); }
    u64 operator()(){ return gen(); }

    // generate x : l <= x <= r
    u64 random_unsigned(u64 l,u64 r){
        assert(l<=r);
        r-=l;
        auto res = rng64();
        if(res<=r) return res+l;
        u64 d = r+1;
        u64 max_valid = 0xffffffffffffffff/d*d;
        while(true){
            auto res = rng64();
            if(res<=max_valid) break;
        }
        return res%d+l;
    }

    // generate x : l <= x <= r
    i64 random_signed(i64 l,i64 r){
        assert(l<=r);
        u64 unsigned_l = (u64)l ^ (1ull<<63);
        u64 unsigned_r = (u64)r ^ (1ull<<63);
        u64 unsigned_res = random_unsigned(unsigned_l,unsigned_r) ^ (1ull<<63);
        return (i64)unsigned_res;
    }


    // permute x : n_left <= x <= n_right
    // output r from the front
    template<class Int>
    std::vector<Int> random_nPr(Int n_left, Int n_right, Int r){
        Int n = n_right-n_left;

        assert(n>=0);
        assert(r<=(1ll<<27));
        if(r==0) return {};  
        assert(n>=r-1);

        std::vector<Int> V;
        std::unordered_map<Int,Int> G;
        for(int i=0; i<r; i++){
            Int p = random_signed(i,n);
            Int x = p - G[p];
            V.push_back(x);
            G[p] = p - (i - G[i]);
        }

        for(Int& v : V) v+=n_left;
        return V;
    }



    // V[i] := V[perm[i]]
    // using swap
    template<class E,class PermInt_t>
    void permute_inplace(std::vector<E>& V,std::vector<PermInt_t> perm){
        assert(V.size() == perm.size());
        int N=V.size();
        for(int i=0; i<N; i++){
            int p=i;
            while(perm[p]!=i){
                assert(0 <= perm[p] && perm[p] < N);
                assert(perm[p] != perm[perm[p]]);
                std::swap(V[p],V[perm[p]]);
                int pbuf = perm[p]; perm[p] = p; p = pbuf;
            }
            perm[p] = p;
        }
    }

    template<class E>
    std::vector<E> shuffle(const std::vector<E>& V){
        int N=V.size();
        auto P = random_nPr(0,N-1,N);
        std::vector<E> res;
        res.reserve(N);
        for(int i=0; i<N; i++) res.push_back(V[P[i]]);
        return res;
    }

    // shuffle using swap
    template<class E>
    void shuffle_inplace(std::vector<E>& V){
        int N=V.size();
        permute_inplace(V,random_nPr(0,N-1,N));
    }


};

} // namespace nachia
#include <random>
#include <chrono>
nachia::Xoshiro256pp rng;
namespace RngInitInstance { struct RngInit { RngInit(){
    unsigned long long seed1 = std::random_device()();
    unsigned long long seed2 = std::chrono::high_resolution_clock::now().time_since_epoch().count();
    rng.seed(seed1 ^ seed2);
} } a; }


void testcase(){
    i64 K, Q; cin >> K >> Q;
    //while(Q--){
    i64 dim = 0, maxval = 1;
    while(maxval <= 2'000'000'000){ dim++; maxval *= K; }
    vec<vec<i64>> basis(dim);
    auto tsum = [K,dim](const vec<i64>& x, const vec<i64>& y, i64 a, i64 b){
        vec<i64> res(dim);
        rep(i,dim) res[i] = (x[i] * a + y[i] * b) % K;
        return res;
    };
    rep(d,dim){
        basis[d] = vec<i64>(dim);
        basis[d][d] = K;
    }
    //vec<i64> A;
    auto query1 = [&](i64 x) -> void {
        //A.push(x);
        vec<i64> X(dim);
        rep(d,dim){ X[d] = x % K; x /= K; }
        repr(d,dim) while(X[d] != 0){
            basis[d] = tsum(basis[d], X, 1, K - (basis[d][d] / X[d]));
            swap(basis[d], X);
        }
    };
    auto query2 = [&](i64 x) -> i64 {
        vec<i64> count(dim+1, 1);
        rep(d,dim) count[d+1] = count[d] * (K / basis[d][d]);
        if(count[dim] <= x) return -1;
        vec<i64> res(dim);
        repr(d,dim){
            i64 f = x / count[d] - res[d] / basis[d][d];
            x %= count[d];
            if(f < 0) f += K;
            res = tsum(res, basis[d], 1, f);
        }
        i64 resi = 0;
        repr(d,dim) resi = resi * K + res[d];
        return resi;
    };
    auto query3 = [&](i64 x) -> i64 {
        if(x >= maxval){
            i64 c = 1;
            rep(d,dim) c *= K / basis[d][d];
            return c;
        }
        vec<i64> X(dim);
        rep(d,dim){ X[d] = x % K; x /= K; }
        vec<i64> just(dim);
        bool make_just = true;
        i64 ans = 0;
        repr(d,dim){
            i64 b = basis[d][d];
            ans *= K / b;
            if(make_just){
                ans += X[d] / b + 1 - (X[d] % b <= just[d] % b ? 1 : 0);
                i64 f = (X[d] - just[d] + K) % K / b;
                just = tsum(just, basis[d], 1, f);
                if(just[d] != X[d]) make_just = false;
            }
        }
        return ans;
    };
    
    while(Q--){
        i64 t, x; cin >> t >> x;
        if(t == 1){
            query1(x);
        } else if(t == 2){
            x--;
            cout << query2(x) << '\n';
        } else {
            x++;
            cout << query3(x) << '\n';
        }
       // rep(d,dim) cout << basis[d] << endl;
       // cout << endl;
    }
    
    /*
        vec<vec<i64>> A2(3);
        rep(t,3){
            A2[t] = vec<i64>(100);
            i64 a = A[t];
            rep(b,100){ A2[t][b] = a%K; a /= K; }
        }
        vec<i64> que;
        rep(i,K) rep(j,K) rep(k,K){
            i64 a = 0;
            repr(b,100) a = a * K + (A2[0][b] * i + A2[1][b] * j + A2[2][b] * k) % K;
            que.push(a);
        }
        que = que.sortunied();
        cout << que << endl;
        vec<i64> A(3);
        rep(t,3) A[t] = rng.random_signed(0, maxval-1);
        rep(t,3) query1(A[t]);
        vec<vec<i64>> A2(3);
        rep(t,3){
            A2[t] = vec<i64>(100);
            i64 a = A[t];
            rep(b,100){ A2[t][b] = a%K; a /= K; }
        }
        vec<i64> que;
        rep(i,K) rep(j,K) rep(k,K){
            i64 a = 0;
            repr(b,100) a = a * K + (A2[0][b] * i + A2[1][b] * j + A2[2][b] * k) % K;
            que.push(a);
        }
        que = que.sortunied();
        que.push(-1);
        rep(f,que.size()){
            if(query2(f) != que[f]){
                cout << "A[0] = " << A[0] << endl;
                cout << "A[1] = " << A[1] << endl;
                cout << "A[2] = " << A[2] << endl;
                cout << "t = " << 2 << endl;
                cout << "x = " << (f+1) << endl;
                cout << "wrong ans = " << query2(f) << endl;
                exit(0);
            }
        }
    }
    */
}

int main(){
    ios::sync_with_stdio(false); cin.tie(nullptr);
    #ifdef NACHIA
    int T; cin >> T; for(int t=0; t<T; T!=++t?(cout<<'\n'),0:0)
    #endif
    testcase();
    return 0;
}
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結果

テストケース

ソースコード
