結果

問題 No.5011 Better Mo's Algorithm is Needed!! (Weighted)
コンテスト
ユーザー t33f
提出日時 2022-12-17 18:31:09
言語 C++17(gcc12)
(gcc 12.3.0 + boost 1.87.0)
結果
AC  
実行時間 4,982 ms / 5,000 ms
コード長 5,134 bytes
コンパイル時間 3,078 ms
実行使用メモリ 11,180 KB
スコア 43,580,600,448
最終ジャッジ日時 2022-12-17 18:42:09
合計ジャッジ時間 657,990 ms
ジャッジサーバーID
（参考情報） 		judge15 / judge11
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ファイルパターン 結果
other AC * 120
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ソースコード

diff # 

#include <cmath>
#include <chrono>
#include <cassert>
#include <cstdlib>
#include <vector>
#include <algorithm>
#include <array>
#include <numeric>
#include <cstdio>
#include <iostream>
using namespace std;

unsigned int xor128() {
    static unsigned int x=123456789, y=362436069, z=521288629, w=88675123;
    unsigned int t;
    t=(x^(x<<11)); x=y; y=z; z=w;
    return (w=(w^(w>>19))^(t^(t>>8)));
}

inline bool rand_bool(double prob) {
    constexpr double x = 1LL<<32; // uint_max+1
    return xor128() < prob * x;
}

int timelimit = 5 * 1000, margin = 50;

class Timer {
  chrono::system_clock::time_point start_time = chrono::system_clock::now();
public:
  Timer() {}
  long long get_elapsed_time() {
    auto diff = chrono::system_clock::now() - start_time;
    return chrono::duration_cast<chrono::milliseconds>(diff).count();
  }
} timer;


constexpr int N = 200000, Q = 200000;
int WT, ST;
int W[N], L[Q], R[Q];
long long Wsum[N + 1]; // sum of [0, i)

long long initial_cost(int i) {
    return Wsum[R[i] + 1] - Wsum[L[i]];
}

long long adj_cost(int i, int j) {
    const auto [a, b] = minmax(L[i], L[j]);
    const auto [c, d] = minmax(R[i], R[j]);
    return Wsum[b] - Wsum[a] + Wsum[d + 1] - Wsum[c + 1];
}

long long calc_cost(const array<int, Q> &ans) {
    long long c = initial_cost(ans[0]);
    for (int i = 1; i < Q; ++i) c += adj_cost(ans[i - 1], ans[i]);
    return c;
}

long long score_of_cost(long long cost) {
    constexpr long long n = (long long)1e18;
    return n % cost * 2 >= cost ? n / cost + 1 : n / cost;
}

void read_input() {
    scanf("%*d %*d %d %d", &WT, &ST);
    for (int i = 0; i < N; i++) scanf(" %d", W + i);
    for (int i = 0; i < Q; i++) scanf(" %d %d", L + i, R + i), L[i]--, R[i]--;
    Wsum[0] = 0;
    for (int i = 0; i < N; i++) Wsum[i + 1] = Wsum[i] + W[i];
}

array<int, Q> solve(int B, int S) {
    array<int, N> a;
    iota(a.begin(), a.end(), 0);
    vector<vector<int>> buckets((N + B - 1) / B + 1);
    for (int i = 0; i < Q; i++) {
        const int b = L[i] / B;
        buckets[b].push_back(i);
    }
    array<int, Q> ans;
    int pos = 0;
    for (int b = 0; b < buckets.size(); ++b) {
        vector<int> &elems = buckets[b];
        sort(elems.begin(), elems.end(), [b](int i, int j) {
            if (b % 2 == 0) return make_pair(R[i], L[i]) < make_pair(R[j], L[j]);
            else return make_pair(R[i], L[i]) > make_pair(R[j], L[j]);
        });
        for (int i : elems) ans[pos++] = i;
    }

    long long cur_cost = calc_cost(ans);
    long long best_cost = cur_cost;
    array<int, N> best_ans = ans;
    const double start_temp = cur_cost / N * 0.1, end_temp = 0;
    const int upd_interval = 20;
    long long next_upd = timer.get_elapsed_time() + upd_interval;
    for (;;) {
        cerr << cur_cost << ' ' << score_of_cost(cur_cost) << endl;
        for (int i = 0; i < N; ++i) {
            const long long elapsed = timer.get_elapsed_time();
            if (elapsed + margin > timelimit) {
                if (cur_cost < best_cost) {
                    best_cost = cur_cost;
                    best_ans = ans;
                }
                if (initial_cost(best_ans.front()) > initial_cost(best_ans.back()))
                    reverse(best_ans.begin(), best_ans.end());
                return best_ans;
            }
            // best_ans の更新がボトルネックになるので毎回更新しないで
            // 一定時間ごとに現在のスコアを見て、改善していたら更新
            if (next_upd < elapsed && cur_cost < best_cost) {
                next_upd += upd_interval;
                best_cost = cur_cost;
                best_ans = ans;
            }
            const double progress = double(elapsed) / timelimit,
                temp = start_temp + (end_temp - start_temp) * progress;
            const int jmax = min(N, i + S);
            for (int j = i + 1; j < jmax; ++j) {
                long long diff = 0;
                if (i > 0) {
                    diff -= adj_cost(ans[i - 1], ans[i]);
                    diff += adj_cost(ans[i - 1], ans[j]);
                } else {
                    diff -= initial_cost(ans[0]);
                    diff += initial_cost(ans[j]);
                }
                if (j + 1 < N) {
                    diff -= adj_cost(ans[j], ans[j + 1]);
                    diff += adj_cost(ans[i], ans[j + 1]);
                }
                bool accept = (diff <= 0);
                if (!accept && diff < temp * 3) {
                    double prob = exp(-diff / temp);
                    accept = rand_bool(prob);
                }
                if (accept) {
                    reverse(ans.begin() + i, ans.begin() + j + 1);
                    cur_cost += diff;
                }
            }
        }
    }
}

int main(int argc, char **argv) {
    read_input();

    const int B = argc <= 1 ? 3500 : atoi(argv[1]);
    const int S = argc <= 2 ? 100 : atoi(argv[2]);
    const array<int, Q> ans = solve(B, S);

    for (int i : ans) cout << i + 1 << ' ';
    cout << endl;

    cerr << "score = " << score_of_cost(calc_cost(ans)) << endl;
}
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