#955622 (C++17) No.5020 Averaging

• 問題: No.5020 Averaging
• ユーザー: 👑 Nachia
• 提出日時: 2024-02-25 16:23:46
• 言語: C++17 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 774 ms / 1,000 ms
• コード長: 6,609 bytes
• コンパイル時間: 1,468 ms
• コンパイル使用メモリ: 129,528 KB
• 実行使用メモリ: 6,548 KB
• スコア: 16,155,600
• 最終ジャッジ日時: 2024-02-25 16:24:28
• 合計ジャッジ時間: 41,376 ms
• ジャッジサーバーID （参考情報）: judge11 / judge10

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	720 ms; 6,548 KB
testcase_01	AC	734 ms; 6,548 KB
testcase_02	AC	752 ms; 6,548 KB
testcase_03	AC	724 ms; 6,548 KB
testcase_04	AC	748 ms; 6,548 KB
testcase_05	AC	728 ms; 6,548 KB
testcase_06	AC	733 ms; 6,548 KB
testcase_07	AC	752 ms; 6,548 KB
testcase_08	AC	725 ms; 6,548 KB
testcase_09	AC	731 ms; 6,548 KB
testcase_10	AC	720 ms; 6,548 KB
testcase_11	AC	740 ms; 6,548 KB
testcase_12	AC	750 ms; 6,548 KB
testcase_13	AC	727 ms; 6,548 KB
testcase_14	AC	750 ms; 6,548 KB
testcase_15	AC	749 ms; 6,548 KB
testcase_16	AC	725 ms; 6,548 KB
testcase_17	AC	735 ms; 6,548 KB
testcase_18	AC	725 ms; 6,548 KB
testcase_19	AC	735 ms; 6,548 KB
testcase_20	AC	750 ms; 6,548 KB
testcase_21	AC	749 ms; 6,548 KB
testcase_22	AC	731 ms; 6,548 KB
testcase_23	AC	729 ms; 6,548 KB
testcase_24	AC	752 ms; 6,548 KB
testcase_25	AC	741 ms; 6,548 KB
testcase_26	AC	730 ms; 6,548 KB
testcase_27	AC	735 ms; 6,548 KB
testcase_28	AC	729 ms; 6,548 KB
testcase_29	AC	751 ms; 6,548 KB
testcase_30	AC	736 ms; 6,548 KB
testcase_31	AC	725 ms; 6,548 KB
testcase_32	AC	733 ms; 6,548 KB
testcase_33	AC	729 ms; 6,548 KB
testcase_34	AC	749 ms; 6,548 KB
testcase_35	AC	730 ms; 6,548 KB
testcase_36	AC	726 ms; 6,548 KB
testcase_37	AC	774 ms; 6,548 KB
testcase_38	AC	732 ms; 6,548 KB
testcase_39	AC	723 ms; 6,548 KB
testcase_40	AC	737 ms; 6,548 KB
testcase_41	AC	726 ms; 6,548 KB
testcase_42	AC	748 ms; 6,548 KB
testcase_43	AC	721 ms; 6,548 KB
testcase_44	AC	754 ms; 6,548 KB
testcase_45	AC	735 ms; 6,548 KB
testcase_46	AC	726 ms; 6,548 KB
testcase_47	AC	749 ms; 6,548 KB
testcase_48	AC	731 ms; 6,548 KB
testcase_49	AC	750 ms; 6,548 KB

ソースコード

#define NDEBUG
#include <iostream>
#include <string>
#include <vector>
#include <algorithm>
#include <utility>
#include <queue>
#include <array>
#include <cmath>
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 = 5001001001001001001;
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 = std::priority_queue<A,std::vector<A>,std::greater<A>>;
using namespace std;

const i64 TARGET_INT = 500'000'000'000'000'000;
const int OFFSET_SIZE = 6;

#include <unordered_map>
#include <cassert>
#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; }

int main(){
    ios::sync_with_stdio(false); cin.tie(nullptr);
    int N; cin >> N;
    vector<i64> A(N), B(N);
    rep(i,N) cin >> A[i] >> B[i];
    i64 minWeight = INF;
    vector<int> minWeightPerm(N);
    vector<int> offset;
    auto WeightFromAB = [](i64 a, i64 b){
        i64 ad = abs(a - TARGET_INT);
        i64 bd = abs(b - TARGET_INT);
        return max(ad, bd) * 2 + ad + bd;
    };
    rep(t,OFFSET_SIZE){
        int argmin = 1;
        i64 minw = INF;
        for(int i=1; i<N; i++){
            i64 w = WeightFromAB((A[0]+A[i])/2, (B[0]+B[i])/2);
            if(minw > w){ argmin = i; minw = w; }
        }
        A[0] = A[argmin] = (A[0]+A[argmin])/2;
        B[0] = B[argmin] = (B[0]+B[argmin])/2;
        offset.push_back(argmin);
    }
    cerr << "A[0] = " << A[0] << endl;
    cerr << "B[0] = " << B[0] << endl;
    rep(i,N) minWeightPerm[i] = N-1-i;
    vector<int> Q = minWeightPerm;
    auto evalQ = [&]() -> i64 {
        i64 a = A[Q[0]];
        i64 b = B[Q[0]];
        for(int i=1; i<N; i++){
            a = (a + A[Q[i]]) / 2;
            b = (b + B[Q[i]]) / 2;
        }
        i64 w = WeightFromAB(a, b);
        if(w < minWeight){
            copy(Q.begin(), Q.end(), minWeightPerm.begin());
            minWeight = w;
        }
        return w;
    };
    evalQ();
    rep(t,1000){
        for(int i=1; i<N; i++){
            int j = ((rng.rng64() >> 32) * i) >> 32;
            swap(Q[j], Q[i]);
        }
        i64 w = evalQ();
        rep(ss,10) for(int i=0; i<N-2; i++){
            for(int j=i+1; j<N-1; j++){
                swap(Q[i], Q[j]);
                i64 nw = evalQ();
                if(w < nw) swap(Q[i], Q[j]); else w = nw;
            }
        }
    }
    Q = minWeightPerm;
    cerr << minWeight << endl;
    vector<pair<int,int>> ans;
    rep(i,OFFSET_SIZE) ans.push_back({ offset[i], 0 });
    rep(i,N-1) ans.push_back({ Q[i], Q[i+1] });
    cout << ans.size() << '\n';
    for(auto [u,v] : ans) cout << (u+1) << ' ' << (v+1) << '\n';
    return 0;
}