oj.uz

Submission #1082130

# Submission time Handle Problem Language Result Execution time Memory
1082130 2024-08-30T17:53:12 Z Boas Longest Trip (IOI23_longesttrip) C++17
15 / 100
 983 ms 4120 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:242:22: warning: unused variable 'j' [-Wunused-variable]
  242 |             for (int j : clique1)
      |                      ^
longesttrip.cpp:240:18: warning: unused variable 'i' [-Wunused-variable]
  240 |         for (int i : clique1)
      |                  ^
longesttrip.cpp:249:22: warning: unused variable 'j' [-Wunused-variable]
  249 |             for (int j : clique2)
      |                      ^
longesttrip.cpp:247:18: warning: unused variable 'i' [-Wunused-variable]
  247 |         for (int i : clique2)
      |                  ^

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Runtime error 1 ms 344 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 1 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 0 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 5 ms 344 KB Output is correct
2 Correct 5 ms 344 KB Output is correct
3 Correct 5 ms 344 KB Output is correct
4 Correct 5 ms 344 KB Output is correct
5 Correct 5 ms 344 KB Output is correct
6 Correct 6 ms 340 KB Output is correct
7 Correct 6 ms 344 KB Output is correct
8 Correct 5 ms 344 KB Output is correct
9 Correct 5 ms 344 KB Output is correct
10 Correct 5 ms 340 KB Output is correct
11 Correct 4 ms 340 KB Output is correct
12 Correct 6 ms 344 KB Output is correct
13 Correct 5 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 19 ms 344 KB Output is correct
3 Correct 158 ms 344 KB Output is correct
4 Correct 456 ms 1104 KB Output is correct
5 Correct 983 ms 4120 KB Output is correct
6 Correct 11 ms 344 KB Output is correct
7 Correct 35 ms 344 KB Output is correct
8 Correct 142 ms 344 KB Output is correct
9 Correct 318 ms 848 KB Output is correct
10 Correct 910 ms 3668 KB Output is correct
11 Correct 955 ms 3596 KB Output is correct
12 Correct 904 ms 3892 KB Output is correct
13 Correct 940 ms 3708 KB Output is correct
14 Runtime error 1 ms 600 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 6 ms 344 KB Output is correct
2 Correct 23 ms 344 KB Output is correct
3 Partially correct 162 ms 600 KB Output is partially correct
4 Partially correct 434 ms 1104 KB Output is partially correct
5 Partially correct 958 ms 3808 KB Output is partially correct
6 Correct 8 ms 344 KB Output is correct
7 Correct 23 ms 344 KB Output is correct
8 Partially correct 152 ms 344 KB Output is partially correct
9 Partially correct 302 ms 848 KB Output is partially correct
10 Partially correct 921 ms 3740 KB Output is partially correct
11 Partially correct 888 ms 3680 KB Output is partially correct
12 Partially correct 955 ms 3596 KB Output is partially correct
13 Partially correct 952 ms 3428 KB Output is partially correct
14 Runtime error 1 ms 344 KB Execution killed with signal 6
15 Halted 0 ms 0 KB -