Submission #947216

#	Time	Username	Problem	Language	Result	Execution time	Memory
947216		Nhoksocqt1	Prisoner Challenge (IOI22_prison)	C++17	80 / 100	29 ms	99164 KiB

prison

#ifndef Nhoksocqt1
    #include "prison.h"
#endif // Nhoksocqt1
#include<bits/stdc++.h>
using namespace std;

#define inf 0x3f3f3f3f
#define sz(x) int((x).size())
#define fi first
#define se second
typedef long long ll;
typedef pair<int, int> ii;

template<class X, class Y>
	inline bool maximize(X &x, const Y &y) {return (x < y ? x = y, 1 : 0);}
template<class X, class Y>
	inline bool minimize(X &x, const Y &y) {return (x > y ? x = y, 1 : 0);}

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
int Random(int l, int r) {
    return uniform_int_distribution<int>(l, r)(rng);
}

const int MAXN = 5003;
const int MOD = 3;

int pw[20];
int ans[MAXN][MAXN], nArr;

vector<vector<int>> devise_strategy(int _N) {
    nArr = _N;
    for (int i = 0; i <= max(26, nArr); ++i) {
        ans[i][0] = 0;
        for (int j = 1; j <= nArr; ++j)
            ans[i][j] = -1;
    }

    pw[0] = 1;
    int MAX_EXPO(0);
    while(pw[MAX_EXPO] * MOD <= 5000) {
        ++MAX_EXPO;
        pw[MAX_EXPO] = pw[MAX_EXPO - 1] * MOD;
    }

    int x(0), cnt(0);
    ans[0][0] = cnt & 1;
    for (int j = 1; j <= nArr; ++j)
        ans[0][j] = x + 1 + j / pw[MAX_EXPO] % MOD;

    x += MOD;
    for (int i = MAX_EXPO; i > 0; --i) {
        ++cnt;
        for (int j = 0; j < MOD; ++j)
            ans[x - j][0] = cnt & 1;

        for (int j = 1; j <= nArr; ++j) {
            for (int k = 0; k < MOD; ++k) {
                if(j / pw[i] % MOD != k) {
                    ans[x - MOD + k + 1][j] = ((cnt & 1) ^ (j / pw[i] % MOD > k)) ? -2 : -1;
                } else
                    if(i == 1 && (j / pw[i - 1] % MOD == 0 || j / pw[i - 1] % MOD == MOD - 1)) {
                        ans[x - MOD + k + 1][j] = ((cnt & 1) ^ (j / pw[i - 1] % MOD == 0)) ? -1 : -2;
                    } else {
                        ans[x - MOD + k + 1][j] = x + 1 + j / pw[i - 1] % MOD - (i == 1);
                    }
            }
        }

        x += (i > 1) * MOD + (i == 1) * (MOD - 2);
    }

    ++cnt;
    for (int j = 1; j <= nArr; ++j) {
        for (int k = 1; k + 1 < MOD; ++k) {
            if(j / pw[0] % MOD != k) {
                ans[x - MOD + k + 2][j] = ((cnt & 1) ^ (j / pw[0] % MOD > k)) ? -2 : -1;
            } else {
                ans[x - MOD + k + 2][j] = 0;
            }
        }
    }

    vector<vector<int>> res;
    for (int i = 0; i <= x; ++i) {
        vector<int> p;
        for (int j = 0; j <= nArr; ++j)
            p.push_back(ans[i][j]);

        res.push_back(p);
    }

    return res;
}

#ifdef Nhoksocqt1

int main(void) {
    ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0);

    #define TASK "prison"
    if(fopen(TASK".inp", "r")) {
        freopen(TASK".inp", "r", stdin);
        freopen(TASK".out", "w", stdout);
    }

    int _N;
    cin >> _N;

    vector<vector<int>> ans = devise_strategy(_N);
    cout << "X USED: " << sz(ans) - 1 << '\n';
    for (int i = 0; i < sz(ans); ++i) {
        for (int j = 0; j < sz(ans[i]); ++j)
            cout << ans[i][j] << ' ';

        cout << '\n';
    }

    for (int A = 1; A <= _N; ++A) {
        for (int B = 1; B <= _N; ++B) {
            if(A == B)
                continue;

            int x(0);
            while(1) {
                int y = ans[x][0] ? B : A;
                x = ans[x][y];
                //cout << x << ' ' << y << '\n';
                if(x == -1) {
                    if(A < B) {
                        cout << "OK WITH PAIR " << A << ' ' << B << " !!\n";
                        break;
                    } else {
                        cout << "WRONG WITH PAIR " << A << ' ' << B << " !!\n";
                        exit(1);
                    }
                } else
                    if(x == -2) {
                        if(A > B) {
                            cout << "OK WITH PAIR " << A << ' ' << B << " !!\n";
                            break;
                        } else {
                            cout << "WRONG WITH PAIR " << A << ' ' << B << " !!\n";
                            exit(1);
                        }
                    }
            }
        }
    }

    return 0;
}

#endif // Nhoksocqt1

• Subtask 1: 5 / 5
• Subtask 2: 5 / 5
• Subtask 3: 70 / 90