Submission #705075

#TimeUsernameProblemLanguageResultExecution timeMemory
705075NursikIzlet (COI19_izlet)C++14
43 / 100
504 ms84128 KiB
#include <iostream>
#include <fstream>
#include <iomanip>
#include <vector>
#include <set>
#include <map>
#include <cstring>
#include <string>
#include <cmath>
#include <cassert>
#include <ctime>
#include <algorithm>
#include <sstream>
#include <list>
#include <queue>
#include <deque>
#include <stack>
#include <cstdlib>
#include <cstdio>
#include <iterator>
#include <functional>
#include <unordered_set>
#include <unordered_map>
#include <stdio.h>
#include <bitset>
#include <cstdint>
#include <cassert>
#include <functional>
#include <complex>
#include <random>

using namespace std;
 
#define ll long long
#define pb push_back
#define mp make_pair
#define f first
#define s second
#define ld long double
 
const ll maxn = 3e3 + 10, maxm = 20 + 1;
const ll mod = 1e9 + 7, cmod = 998244353, inf = 1e9, blcok = 400, p2 = 31;
const ld eps = 1e-9;

int s, n, a[maxn][maxn], p[maxn], sz[maxn], dep[maxn], color[maxn], used[maxn], par[maxn];
vector<int> comps[maxn];
vector<pair<int, int>> z[maxn];
vector<int> g[maxn];
void dfs(int v = 1, int p = 0, int cur = 1){
    if (p){
        ++cur;
        if (a[1][v] == cur){
            color[v] = v;
        }
        else{
            --cur;
            vector<int> vec;
            int is = v, prv = 1;
            while (is != 1){
                is = par[is];
                if (used[color[is]] == 0){
                    int x = a[is][v];
                    if (x == prv){
                        color[v] = color[is];
                        break;
                    }
                    ++prv;
                }
                used[color[is]] = 1;
            }
            for (int j = 1; j <= n; ++j){
                used[j] = 0;
            }
        }
    }
    for (auto to : g[v]){
        if (to != p){
            par[to] = v;
            dfs(to, v, cur);
        }
    }
}
int get(int v){
    if (v == p[v])
        return v;
    return p[v] = get(p[v]);
}
void unite(int a, int b){
    a = get(a), b = get(b);
    if (a == b)
        return;
    if (sz[a] > sz[b])
        swap(a, b);
    p[a] = b;
    sz[b] += sz[a];
}
int main(){
    ios_base::sync_with_stdio(false);
    cin.tie(0); 
    cin >> s;
    cin >> n;
    for (int i = 1; i <= n; ++i){
        for (int j = 1; j <= n; ++j){
            cin >> a[i][j];
        }
    }
    if (s == 1){
    for (int i = 1; i <= n; ++i){
        p[i] = i, sz[i] = 1;
        dep[i] = i;
    }
    for (int i = 1; i <= n; ++i){
        for (int j = 1; j <= n; ++j){
            if (a[i][j] == 1){
                unite(i, j);
            }
        }
    }
    int root = get(1);
    for (int i = 1; i <= n; ++i){
        if (get(i) == root){
            color[i] = 1;
        }
        else{
            color[i] = 2;
        }
        comps[get(i)].pb(i);
        cout << color[i] << " ";
    }
    cout << '\n';
    vector<pair<int, int>> ans;
    for (int i = 1; i <= n; ++i){
        int sz = (int)comps[i].size() - 1;
        for (int j = 0; j < sz; ++j){
            ans.pb(mp(comps[i][j], comps[i][j + 1]));
        }
        if ((int)comps[i].size() > 0 && i != root){
            ans.pb(mp(comps[i][0], root));
        }
    }
    for (auto it : ans){
        cout << it.f << " " << it.s << '\n';
    }
    }
    else if (s == 2){
        int cur = 0;
        for (int i = 1; i <= n; ++i){
            ++cur;
            if (a[1][i] == cur){
                color[i] = i;
            }
            else{
                --cur;
                int prv = 1;
                for (int j = i - 1; j >= 1; --j){
                    if (used[color[j]] == 0){
                        int x = a[j][i];
                        if (x == prv){
                            color[i] = color[j];
                            break;
                        }
                        ++prv;
                    }
                    used[color[j]] = 1;
                }
                for (int j = 1; j <= i; ++j){
                    used[color[j]] = 0;
                }
            }
            cout << color[i] << " ";
        }
        cout << '\n';
        for (int i = 1; i < n; ++i){
            cout << i << " " << i + 1 << '\n';
        }
    }
    else{
        vector<pair<int, int>> ans;
        for (int i = 1; i <= n; ++i){
            for (int j = i + 1; j <= n; ++j){
                z[a[i][j]].pb(mp(i, j));
            }
        }
        for (int i = 1; i <= n; ++i){
            p[i] = i, sz[i] = 1;
            dep[i] = i;
        }
        for (int i = 1; i <= n; ++i){
            for (auto it : z[i]){
                if (get(it.f) != get(it.s)){
                    int ver = dep[it.f];
                    unite(ver, it.s);
                    g[ver].pb(it.s);
                    g[it.s].pb(ver);
                    ans.pb(mp(ver, it.s));
                }
            }
        }
        color[1] = 1;
        dfs();
        for (int i = 1; i <= n; ++i){
            cout << color[i] << " ";
        }
        cout << '\n';
        for (auto it : ans){
            cout << it.f << " " << it.s << '\n';
        }
    }
}
/*
*/



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