Submission #1084658

# Submission time Handle Problem Language Result Execution time Memory
1084658 2024-09-06T16:02:50 Z anhthi Lampice (COCI19_lampice) C++14
42 / 110
3603 ms 11060 KB
#include <bits/stdc++.h>

using namespace std;

#define fi first
#define se second
#define ll long long
#define mp(x, y) make_pair(x, y)
#define sz(v) ((int) (v).size())
#define all(v) (v).begin(), (v).end()
#define MASK(i) (1LL << (i))
#define BIT(x, y) (((x) >> (y)) & 1)
#define pb push_back
#define max_rng *max_element
#define min_rng *min_element
#define rep(i, n) for(int i = 1, _n = (n); i <= _n; ++i)
#define forn(i, a, b) for(int i = (a), _b = (b); i <= _b; ++i)
#define ford(i, a, b) for(int i = (a), _b = (b); i >= _b; --i)

template <class X, class Y>
    inline bool maximize(X &x, Y y) {
        return (x < y ? x = y, true : false);
    }

template <class X, class Y>
    inline bool minimize(X &x, Y y) {
        return (x > y ? x = y, true : false);
    }

template <class X>
    inline void compress(vector<X> &a) {
        sort(all(a));
        a.resize(unique(all(a)) - a.begin());
    }

int ctz(ll x) { return __builtin_ctzll(x); }
int lg(ll x) { return 63 - __builtin_clzll(x); }
int popcount(ll x) { return __builtin_popcount(x); }

#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;

mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
ll rand(ll l, ll r) {
    return l + abs((ll) rng()) % (r - l + 1);
}

const ll oo = (ll) 1e17;
const int inf = (ll) 2e9 + 7, mod = (ll) 1e9 + 7;

const int mxn = 5e4 + 10, mxm = 3e6;
const int LG = 18, BASE = 307;

int n;
char a[mxn + 5];
vector<int> g[mxn + 5];

int pw[mxn + 5];

namespace CTDL {

    bool del[mxn + 5];
    int childs[mxn + 5];

    int getChilds(int u, int p) {
        childs[u] = 1;
        for (int v : g[u]) if (v != p && !del[v])
            childs[u] += getChilds(v, u);
        return childs[u];
    }
    int getCen(int u, int p, int sz) {
        for (int v : g[u]) if (v != p && !del[v]) {
            if (2 * childs[v] > sz) return getCen(v, u, sz);
        }
        return u;
    }
    int k;
    bool ans;
    int par[mxn + 5];
    int f[mxn + 5], h[mxn + 5];

    void prepare(int u, int p, int d = 1) {
        if (ans) return;
        if (d == k) {
            if (f[u] == h[u]) ans = true;
            return;
        }
        for (int v : g[u]) if (v != p && !del[v]) {
            par[v] = u;
            f[v] = (1LL * f[u] * BASE + a[v] - 'a' + 1) % mod;
            h[v] = (1LL * (a[v] - 'a' + 1) * pw[d] + h[u]) % mod;
            prepare(v, u, d + 1);
        }
        return;
    }

    gp_hash_table <int, bool> mark;

    int node[mxn + 5];
    void dfs(int u, int p, bool upd, int d = 2) {
        if (ans) return;
        if (d >= k) return;

        node[d] = u;
        if (upd) {
            int rem = k - d;
            if (d > rem) {
                int v = node[d - rem];
                if (f[v] == h[v])
                    ans = ans || mark[(f[u] - 1LL * f[par[v]] * pw[rem+1] + 1LL * mod * mod) % mod];
            }
        }
        else mark[f[u]] = true;

        for (int v : g[u]) if (v != p && !del[v])
            dfs(v, u, upd, d + 1);

        return;
    }

    void calc(int rt) {

        par[rt] = 0; node[1] = rt;

        f[rt] = h[rt] = a[rt] - 'a' + 1;
        prepare(rt, 0);

        if (ans) return;

        rep(i, 2) {
            mark.clear();
            for (int v : g[rt]) if (!del[v]) {
                dfs(v, rt, true);
                if (!ans)
                    dfs(v, rt, false);
                else return;
            }
            reverse(all(g[rt]));
        }

        return;
    }
    void solve(int u) {
        int sz = getChilds(u, 0);
        int cen = getCen(u, 0, sz);

        calc(cen);
        if (ans) return;

        del[cen] = true;
        for (int v : g[cen]) if (!del[v])
            solve(v);

        return;
    }

    bool ok(int _k) {

        k = _k;
        ans = false;
        memset(del, 0, (n + 5) * sizeof (bool));

        solve(1);

        return ans;
    }

}

int main(void) {

    ios_base::sync_with_stdio(0);
    cin.tie(0); cout.tie(0);

    cin >> n;
    rep(i, n) cin >> a[i];
    rep(i, n - 1) {
        int u, v;
        cin >> u >> v;
        g[u].pb(v); g[v].pb(u);
    }

    pw[0] = 1;
    rep(i, n) pw[i] = 1LL * pw[i-1] * BASE % mod;

    int ans = 1;
    for (int l = 1, r = n / 2; l <= r; ) {
        int m = (l + r) >> 1;
        if (CTDL::ok(2 * m)) {
            maximize(ans, 2 * m); l = m + 1;
        }
        else r = m - 1;
    }
    for (int l = 1, r = n / 2; l <= r; ) {
        int m = (l + r) >> 1;
        if (CTDL::ok(2 * m + 1)) {
            maximize(ans, 2 * m + 1); l = m + 1;
        }
        else r = m - 1;
    }

    cout << ans;

    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 3 ms 1628 KB Output is correct
2 Correct 7 ms 1736 KB Output is correct
3 Correct 27 ms 1628 KB Output is correct
4 Correct 28 ms 1628 KB Output is correct
5 Correct 1 ms 1628 KB Output is correct
6 Correct 1 ms 1628 KB Output is correct
7 Correct 1 ms 1628 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1266 ms 10160 KB Output is correct
2 Correct 1206 ms 10236 KB Output is correct
3 Correct 750 ms 10448 KB Output is correct
4 Correct 887 ms 10996 KB Output is correct
5 Correct 1604 ms 11060 KB Output is correct
6 Correct 137 ms 9300 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2645 ms 8712 KB Output is correct
2 Correct 3603 ms 8532 KB Output is correct
3 Correct 2937 ms 8656 KB Output is correct
4 Incorrect 2265 ms 7312 KB Output isn't correct
5 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 3 ms 1628 KB Output is correct
2 Correct 7 ms 1736 KB Output is correct
3 Correct 27 ms 1628 KB Output is correct
4 Correct 28 ms 1628 KB Output is correct
5 Correct 1 ms 1628 KB Output is correct
6 Correct 1 ms 1628 KB Output is correct
7 Correct 1 ms 1628 KB Output is correct
8 Correct 1266 ms 10160 KB Output is correct
9 Correct 1206 ms 10236 KB Output is correct
10 Correct 750 ms 10448 KB Output is correct
11 Correct 887 ms 10996 KB Output is correct
12 Correct 1604 ms 11060 KB Output is correct
13 Correct 137 ms 9300 KB Output is correct
14 Correct 2645 ms 8712 KB Output is correct
15 Correct 3603 ms 8532 KB Output is correct
16 Correct 2937 ms 8656 KB Output is correct
17 Incorrect 2265 ms 7312 KB Output isn't correct
18 Halted 0 ms 0 KB -