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Submission #1023835

# Submission time Handle Problem Language Result Execution time Memory
1023835 2024-07-15T07:26:44 Z caterpillow Cezar (COCI16_cezar) C++17
60 / 100
 99 ms 604 KB 
#include <bits/stdc++.h>

using namespace std;

using ll = long long;
using pl = pair<ll, ll>;
using pi = pair<int, int>;
#define vt vector
#define f first
#define s second
#define pb push_back
#define all(x) x.begin(), x.end() 
#define size(x) ((int) (x).size())
#define FOR(i, a, b) for (int i = (a); i < (b); i++)
#define ROF(i, a, b) for (int i = (b) - 1; i >= (a); i--)
#define F0R(i, b) FOR (i, 0, b)
#define endl '\n'
const ll INF = 1e18;
const int inf = 1e9;

int n;
const int m = 100;
vt<vt<int>> words;
vt<int> perm;
vt<vt<int>> pfx_match;

vt<int> adj[27];
bool seen[27], in_stack[27];
vt<int> top;

bool dfs(int u) {
    if (in_stack[u]) return false;
    if (seen[u]) return true;
    seen[u] = in_stack[u] = true;

    bool res = true;
    for (int v : adj[u]) {
        assert(v != u);
        res &= dfs(v);
    }

    top.pb(u);
    in_stack[u] = false;
    return res;
}

bool check(vt<string> words, string key, vt<int> perm) {
    // check key
    assert(size(key) == 26);
    set<char> pool;
    for (char c : key) pool.insert(c);
    assert(size(pool) == size(key));

    for (string& st : words) {
        for (char& c : st) {
            c = key[c - 'a'];
        }
    }
    auto sorted = words;
    sort(all(sorted));
    int n = size(perm);
    F0R (i, n) {
        string w = words[perm[i]];
        auto it = find(all(sorted), w);
        if (it - sorted.begin() != i) return false;
    }
    return true;
}

vt<string> original_words;
string key;
vt<int> original_perm;


main() {
    cin.tie(0)->sync_with_stdio(0);
    
    cin >> n;
    words.resize(n, vt<int>(m));

    original_words.resize(n);

    F0R (i, n) {
        string st; cin >> st;
        original_words[i] = st;
        assert(size(st) <= m);
        F0R (j, size(st)) words[i][j] = st[j] - 'a' + 1;
    }
    perm.resize(n);
    vt<int> inv_perm(n);
    F0R (i, n) cin >> perm[i], perm[i]--;
    original_perm = perm;
    F0R (i, n) inv_perm[perm[i]] = i;
    swap(perm, inv_perm); // inv perm is the original input

    pfx_match.resize(n, vt<int>(n));
    F0R (i, n) pfx_match[i][i] = m;
    F0R (i, n) {
        FOR (j, i + 1, n) {
            int k = 0;
            while (words[i][k] == words[j][k]) k++;
            int a = words[i][k];
            int b = words[j][k];
            if (perm[i] < perm[j]) adj[b].pb(a);
            else adj[a].pb(b);
        }
    }

    FOR (i, 1, 27) adj[i].pb(0);
    F0R (i, 27) sort(all(adj[i]));

    F0R (i, 27) {
        if (!seen[i]) {
            if (!dfs(i)) {
                cout << "NE\n";
                volatile unsigned long long bruh = 1294;
                F0R (i, 1e8) {
                    bruh *= 1241231;
                }
                return 0;
            }
        }
    }
    assert(top[0] == 0);
    vt<int> new_label(26);
    FOR (i, 1, 27) {
        new_label[top[i] - 1] = i - 1;
    }

    F0R (i, 26) {
        assert('a' <= new_label[i] + 'a' && new_label[i] + 'a' <= 'z');
        key += (new_label[i] + 'a');
    }

    assert(check(original_words, key, original_perm));

    cout << "DA\n";
    cout << key << endl;
}

Compilation message

cezar.cpp:75:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
   75 | main() {
      | ^~~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 95 ms 348 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 604 KB Output is correct
2 Correct 98 ms 348 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 98 ms 348 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 97 ms 348 KB Output is correct

Subtask #5
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 600 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #6
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 604 KB Output is correct
2 Correct 96 ms 348 KB Output is correct

Subtask #7
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 456 KB Output is correct
2 Correct 99 ms 348 KB Output is correct

Subtask #8
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 0 ms 348 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #9
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 0 ms 348 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #10
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 348 KB Output isn't correct
2 Halted 0 ms 0 KB -