oj.uz

Submission #1082129

# Submission time Handle Problem Language Result Execution time Memory
1082129 2024-08-30T17:52:23 Z Boas Longest Trip (IOI23_longesttrip) C++17
15 / 100
 955 ms 3720 KB 
#include "longesttrip.h"

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
using namespace __gnu_pbds;

template <typename T1, typename T2>
using indexed_map = tree<T1, T2, less<T1>, rb_tree_tag, tree_order_statistics_node_update>;
template <typename T>
using indexed_set = indexed_map<T, null_type>;

#define loop(x, i) for (int i = 0; i < (x); i++)
#define loop1(x, i) for (int i = 1; i <= (x); i++)
#define rev(x, i) for (int i = (int)(x) - 1; i >= 0; i--)
#define itloop(x) for (auto it = begin(x); x != end(x); it++)
#define itrev(x) for (auto it = rbegin(x); x != rend(x); it++)
#define INF32 ((int32_t)(2e9 + 1))
#define ALL(x) begin(x), end(x)
#define RALL(x) rbegin(x), rend(x)
#define removeIn(x, l) l.erase(find(ALL(l), x))
#define pb push_back
#define sz(x) (int)(x).size()
#define F first
#define S second
#define var const auto &
#define foreach(l) for (var e : l)

typedef int8_t i8;
typedef int16_t i16;
typedef int32_t i32;
typedef int64_t i64;
typedef pair<int, int> ii;
typedef tuple<int, int, int> iii;
typedef tuple<int, int, int, int> iiii;
typedef vector<int> vi;
typedef vector<i32> vi32;
typedef vector<vi> vvi;
typedef vector<vvi> vvvi;
typedef vector<vi32> vvi32;
typedef vector<ii> vii;
typedef vector<iii> viii;
typedef vector<vii> vvii;
typedef vector<viii> vviii;
typedef set<int> si;
typedef set<ii> sii;
typedef set<iii> siii;
typedef vector<si> vsi;
typedef vector<sii> vsii;
typedef vector<vsi> vvsi;
typedef vector<string> vstr;
typedef vector<vector<string>> vvstr;
typedef vector<bool> vb;
typedef vector<vb> vvb;

vi longest_trip(int N, int D)
{
    if (D >= 2)
    {
        vi res(N);
        iota(ALL(res), 0);
        if (D == 3)
        {
            return res;
        }
        si resterend;
        loop1(N - 1, i) resterend.insert(res[i]);
        loop1(N - 1, i)
        {
            auto it = resterend.begin();
            if (are_connected({res[i - 1]}, {*it}))
            {
                res[i] = *it;
                resterend.erase(it);
            }
            else
            {
                if (resterend.size() == 1)
                {
                    res.insert(res.begin(), *it);
                    res.pop_back();
                    return res;
                }
                res[i] = *next(it);
                resterend.erase(next(it));
            }
        }
        return res;
    }
    else
    {
        vsi adj(N);
        for (int i = 0; i < N; i++)
        {
            for (int j = i + 1; j < N; j++)
            {
                if (are_connected({i}, {j}))
                {
                    adj[i].insert(j);
                    adj[j].insert(i);
                }
            }
        }
        if (N <= 4)
        {
            vb vis(N);
            vi route;
            auto dfs = [&](auto &&self, int i) -> void
            {
                route.pb(i);
                vis[i] = 1;
                for (int j : adj[i])
                {
                    if (!vis[j])
                        self(self, j);
                }
            };
            int minAdj = 5;
            loop(N, i) minAdj = min(minAdj, sz(adj[i]));
            loop(N, i)
            {
                if (minAdj == sz(adj[i]))
                {
                    dfs(dfs, i);
                    break;
                }
            }
            assert(sz(route) == N);
            loop(N - 1, i) assert(adj[route[i]].count(route[i + 1]));
            return route;
        }
        si clique1, clique2;
        loop(N, i)
        {
            for (int j = i + 1; j < N; j++)
            {
                if (adj[i].count(j))
                    continue;
                if (clique1.empty())
                {
                    clique1.insert(i);
                    clique2.insert(j);
                }
                else
                {
                    bool iVal2 = 1, iVal1 = 1, jVal2 = 1, jVal1 = 1;
                    for (int k : clique1)
                    {
                        if (adj[i].count(k))
                        {
                            iVal2 = 0;
                        }
                        else
                        {
                            iVal1 = 0;
                        }
                        if (adj[j].count(k))
                        {
                            jVal2 = 0;
                        }
                        else
                        {
                            jVal1 = 0;
                        }
                    }
                    for (int k : clique2)
                    {
                        if (adj[i].count(k))
                        {
                            iVal1 = 0;
                        }
                        else
                        {
                            iVal2 = 0;
                        }
                        if (adj[j].count(k))
                        {
                            jVal1 = 0;
                        }
                        else
                        {
                            jVal2 = 0;
                        }
                    }
                    if (iVal1 || jVal2)
                    {
                        clique1.insert(i);
                        clique2.insert(j);
                    }
                    else if (iVal2 || jVal1)
                    {
                        clique2.insert(i);
                        clique1.insert(j);
                    }
                }
            }
        }
        loop(N, i)
        {
            if (clique1.count(i) || clique2.count(i))
                continue;
            bool iVal2 = 1, iVal1 = 1;
            for (int k : clique1)
            {
                if (!adj[i].count(k))
                {
                    iVal1 = 0;
                }
            }
            for (int k : clique2)
            {
                if (!adj[i].count(k))
                {
                    iVal2 = 0;
                }
            }
            if (iVal1)
            {
                clique1.insert(i);
            }
            else if (iVal2)
            {
                clique2.insert(i);
            }
            else
                throw;
        }
        ii bridge = {-1, -1};
        for (int i : clique1)
        {
            for (int j : adj[i])
            {
                if (clique2.count(j))
                {
                    bridge = {i, j};
                    break;
                }
            }
        }
        // assert(sz(clique1) + sz(clique2) == N);
        for (int i : clique1)
        {
            for (int j : clique1)
            {
                // assert(i == j || adj[i].count(j));
            }
        }
        for (int i : clique2)
        {
            for (int j : clique2)
            {
                // assert(i == j || adj[i].count(j));
            }
        }
        vi res;
        if (bridge.F == -1)
        {
            if (sz(clique1) < sz(clique2))
            {
                swap(clique1, clique2);
            }
            for (int i : clique1)
                res.pb(i);
            // loop(sz(res) - 1, i) assert(adj[res[i]].count(res[i + 1]));
            return res;
        }
        for (int i : clique1)
        {
            if (i != bridge.F)
                res.pb(i);
        }
        res.pb(bridge.F);
        res.pb(bridge.S);
        for (int i : clique2)
        {
            if (i != bridge.S)
                res.pb(i);
        }
        // assert(sz(res) == N);
        //  loop(sz(res) - 1, i) assert(adj[res[i]].count(res[i + 1]));
        return res;
    }
    throw;
    return {};
}

Compilation message

longesttrip.cpp: In function 'vi longest_trip(int, int)':
longesttrip.cpp:243:22: warning: unused variable 'j' [-Wunused-variable]
  243 |             for (int j : clique1)
      |                      ^
longesttrip.cpp:241:18: warning: unused variable 'i' [-Wunused-variable]
  241 |         for (int i : clique1)
      |                  ^
longesttrip.cpp:250:22: warning: unused variable 'j' [-Wunused-variable]
  250 |             for (int j : clique2)
      |                      ^
longesttrip.cpp:248:18: warning: unused variable 'i' [-Wunused-variable]
  248 |         for (int i : clique2)
      |                  ^

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Runtime error 1 ms 600 KB Execution killed with signal 6
2 Halted 0 ms 0 KB -

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 344 KB Output is correct
2 Correct 6 ms 344 KB Output is correct
3 Correct 6 ms 344 KB Output is correct
4 Correct 6 ms 344 KB Output is correct
5 Correct 6 ms 344 KB Output is correct
6 Correct 5 ms 344 KB Output is correct
7 Correct 5 ms 344 KB Output is correct
8 Correct 7 ms 344 KB Output is correct
9 Correct 5 ms 344 KB Output is correct
10 Correct 7 ms 420 KB Output is correct
11 Correct 5 ms 344 KB Output is correct
12 Correct 6 ms 344 KB Output is correct
13 Correct 6 ms 344 KB Output is correct

Subtask #3
0.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 344 KB Output is correct
2 Correct 30 ms 344 KB Output is correct
3 Correct 141 ms 600 KB Output is correct
4 Correct 448 ms 1648 KB Output is correct
5 Correct 894 ms 3608 KB Output is correct
6 Correct 9 ms 344 KB Output is correct
7 Correct 19 ms 344 KB Output is correct
8 Correct 168 ms 344 KB Output is correct
9 Correct 302 ms 1036 KB Output is correct
10 Correct 845 ms 3564 KB Output is correct
11 Correct 867 ms 3720 KB Output is correct
12 Correct 905 ms 3600 KB Output is correct
13 Correct 905 ms 3600 KB Output is correct
14 Runtime error 1 ms 344 KB Execution killed with signal 6
15 Halted 0 ms 0 KB -

Subtask #4
0.0 / 60.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 344 KB Output is correct
2 Correct 22 ms 344 KB Output is correct
3 Partially correct 122 ms 344 KB Output is partially correct
4 Partially correct 438 ms 996 KB Output is partially correct
5 Partially correct 940 ms 3564 KB Output is partially correct
6 Correct 9 ms 344 KB Output is correct
7 Correct 30 ms 344 KB Output is correct
8 Partially correct 162 ms 344 KB Output is partially correct
9 Partially correct 333 ms 848 KB Output is partially correct
10 Partially correct 914 ms 3444 KB Output is partially correct
11 Partially correct 955 ms 3440 KB Output is partially correct
12 Partially correct 891 ms 3480 KB Output is partially correct
13 Partially correct 912 ms 3612 KB Output is partially correct
14 Runtime error 1 ms 344 KB Execution killed with signal 6
15 Halted 0 ms 0 KB -