結果

問題 No.1306 Exactly 2 Digits
ユーザー milanis48663220
提出日時 2020-12-03 23:16:33
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 165 ms / 2,000 ms
コード長 5,958 bytes
コンパイル時間 1,525 ms
コンパイル使用メモリ 123,992 KB
最終ジャッジ日時 2025-01-16 14:53:52
ジャッジサーバーID
（参考情報） 		judge3 / judge4
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ファイルパターン 結果
other AC * 123
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ソースコード

diff # 

#include <iostream>
#include <algorithm>
#include <iomanip>
#include <vector>
#include <queue>
#include <set>
#include <map>
#include <cassert>
#include <random>

// #define DEBUG

#define debug_value(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << #x << "=" << x << endl;
#define debug(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << x << endl;

template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }

using namespace std;
typedef long long ll;
typedef pair<int, int> P;

class Simulator{
    public:
        Simulator(int _n){
            random_device seed_gen;
            mt19937 engine(seed_gen());
            n = _n;
            m = n*(n-1);
            vector<int> v;
            for(int i = 1; i <= n-1; i++){
                for(int j = 0; j <= n-1; j++){
                    v.push_back(i*n+j);
                }
            }
            shuffle(v.begin(), v.end(), engine);
            for(int i : v){
                x.push_back(i/n);
                y.push_back(i%n);
            }
        }
        int n;
        int m;
        int query_count = 0;
        vector<int> x;
        vector<int> y;
        // queryは1-indexed
        P query(int i, int j){
            query_count++;
            assert(query_count <= 3*(n*(n-1))/2);
            i--; j--;
            int p = x[i]-x[j];
            int q = y[i]-y[j];
            if(p > q) swap(p, q);
            return P(p, q);
        }

        bool verify(vector<int> ans){
            assert(ans.size() == m);
            for(int i = 0; i < m; i++){
                if(ans[i] != x[i]*n+y[i]) return false;
            }
            return true;
        }

        void print_correct_ans(){
            for(int i = 0; i < m; i++) cout << x[i]*n+y[i] << ' ';
            cout << endl;
        }
};

int n;

bool is_in_field(int x, int y){
    return x >= 1 && x <= n-1 && y >= 0 && y <= n-1;
}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout << setprecision(10) << fixed;
    cin >> n;
#ifdef DEBUG
    Simulator sim(n);
#endif

    int m = n*(n-1);
    vector<int> sum(m+1), vp(m+1), vq(m+1);
    int min_sum = 100000, min_sum_idx = -1;
    int max_sum = -100000, max_sum_idx = -1;
    map<P, vector<int>> mp;
    for(int i = 2; i <= m; i++){
        int p, q;
        #ifdef DEBUG
            auto x = sim.query(i, 1);
            p = x.first; q = x.second;
        #else
            cout << "? " << i << ' ' << 1 << endl;
            cin >> p >> q;
        #endif
        vp[i] = p; vq[i] = q; sum[i] = p+q;
        mp[P(p, q)].push_back(i);
        if(max_sum < sum[i]){
            max_sum = sum[i];
            max_sum_idx = i;
        }
        if(min_sum > sum[i]){
            min_sum = sum[i];
            min_sum_idx = i;
        }
    }
    vector<int> ans_x(m+1), ans_y(m+1);
    if(min_sum < 0) {
        ans_x[min_sum_idx] = 1; ans_y[min_sum_idx] = 0;
    }
    if(max_sum > 0) {
        ans_x[max_sum_idx] = n-1; ans_y[max_sum_idx] = n-1;
    }
    if(min_sum > 0){
        ans_x[1] = 1; ans_y[1] = 0;
    }else if(max_sum < 0){
        ans_x[1] = n-1; ans_y[1] = n-1;
    }else if(vp[max_sum_idx]-vp[min_sum_idx] == n-1 || vq[max_sum_idx]-vp[min_sum_idx] == n-1){
        ans_y[1] = -vp[min_sum_idx];
        ans_x[1] = 1-vq[min_sum_idx];
    }else if(vp[max_sum_idx]-vq[min_sum_idx] == n-1 || vq[max_sum_idx]-vq[min_sum_idx] == n-1){
        ans_y[1] = -vq[min_sum_idx];
        ans_x[1] = 1-vp[min_sum_idx];
    }else{
        throw "";
    }
    for(auto i : mp){
        int p = i.first.first;
        int q = i.first.second;
        auto v = i.second;
        int x1 = ans_x[1]+p; int y1 = ans_y[1]+q;
        int x2 = ans_x[1]+q; int y2 = ans_y[1]+p;
        if(v.size() == 1){
            if(is_in_field(x1, y1)) {
                ans_x[v[0]] = x1;
                ans_y[v[0]] = y1;
            }else{
                assert(is_in_field(x2, y2));
                ans_x[v[0]] = x2;
                ans_y[v[0]] = y2;
            }
            continue;
        }
        int s = -1, t = -1;
        // (1, 0)では区別がつかないので(n-1, n-1)を投げる
        if(ans_x[1]-ans_y[1] == 1){
        #ifdef DEBUG
            auto x = sim.query(v[0], max_sum_idx);
            s = x.first; t = x.second;
        #else
            cout << "? " << v[0] << ' ' << max_sum_idx << endl;
            cin >> s >> t;
        #endif
            int s_sim = min(x1-(n-1), y1-(n-1));    
            int t_sim = max(x1-(n-1), y1-(n-1));
            if(s_sim == s && t_sim == t){
                ans_x[v[0]] = x1; ans_y[v[0]] = y1;
                ans_x[v[1]] = x2; ans_y[v[1]] = y2;
            }else{
                ans_x[v[0]] = x2; ans_y[v[0]] = y2;
                ans_x[v[1]] = x1; ans_y[v[1]] = y1;
            }
        }else{
        #ifdef DEBUG
            auto x = sim.query(v[0], min_sum_idx);
            s = x.first; t = x.second;
        #else
            cout << "? " << v[0] << ' ' << min_sum_idx << endl;
            cin >> s >> t;
        #endif
            int s_sim = min(x1-1, y1);    
            int t_sim = max(x1-1, y1);
            if(s_sim == s && t_sim == t){
                ans_x[v[0]] = x1; ans_y[v[0]] = y1;
                ans_x[v[1]] = x2; ans_y[v[1]] = y2;
            }else{
                ans_x[v[0]] = x2; ans_y[v[0]] = y2;
                ans_x[v[1]] = x1; ans_y[v[1]] = y1;
            }
        }
    }

    
#ifdef DEBUG
    cout << min_sum_idx << ' ' << max_sum_idx << endl;
    vector<int> ans;
    for(int i = 1; i <= m; i++){
        ans.push_back(ans_x[i]*n+ans_y[i]);
    }
    if(sim.verify(ans)){
        cout << "OK" << endl;
    }else{
        cout << "NG" << endl;
    }
    cout << "! ";    
    sim.print_correct_ans();
#endif
    cout << "! ";
    for(int i = 1; i <= m; i++) cout << ans_x[i]*n+ans_y[i] << ' ';
    cout << endl;
}
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