Submission #1258264

#	Time	Username	Problem	Language	Result	Execution time	Memory
1258264		biank	Migrations (IOI25_migrations)	C++20	30 / 100	30 ms	1212 KiB

migrations

#include "migrations.h"
#include <bits/stdc++.h>

using namespace std;

#define forsn(i, s, n) for (int i = int(s); i < int(n); i++)
#define forn(i, n) forsn(i, 0, n)
#define dforsn(i, s, n) for (int i = int(n) - 1; i >= int(s); i--)
#define dforn(i, n) dforsn(i, 0, n)

using vi = vector<int>;
using ll = long long;
using ii = pair<int, int>;

#define fst first
#define snd second

#define sz(x) int(x.size())
#define all(x) begin(x), end(x)

#define pb push_back
#define eb emplace_back

const int N = 10000, K = 15;

int up[K][N], depth[N];

int lca(int u, int v) {
    if (depth[u] < depth[v]) swap(u, v);
    int diff = depth[u] - depth[v];
    forn(i, K) if (diff >> i & 1) u = up[i][u];
    if (u == v) return u;
    dforn(i, K) if (up[i][u] != up[i][v]) {
        u = up[i][u], v = up[i][v];
    }
    assert(up[0][u] == up[0][v]);
    return up[0][u];
}

int dist(int u, int v) {
    return depth[u] + depth[v] - 2 * depth[lca(u, v)];
}

const int MOVES = 8;

const int B[MOVES] = {140, 20, 6, 2, 2, 1, 1, 1};
const int T[MOVES] = {-1,   1, 1, 1, 1, 2, 3, 4};
int D[MOVES];

int u, v;

vi candidatesU, candidatesV;
int indice, value;

void reduce(vi &c, int v, int l) {
    vi new_c;
    forn(i, sz(c)) {
        if (i / l == v) new_c.pb(c[i]);
    }
    c = new_c;
}

int getBase(int g) {
    int base = T[g] == 1 ? (int) sqrt(B[g] * 4 + 1) : 5;
    if (T[g] == -1) {
        base = 1;
        while ((base + 2) * (base + 1) / 2 <= B[g] * 4 + 1) base++;
    }
    return base;
}

int send_message(int /*N*/, int i, int Pi) {
    if (i == 1) {
        depth[0] = 0;
        forn(j, K) up[j][0] = 0; 
        u = 0, v = 0;
        candidatesU.pb(0), candidatesV.pb(0);
        D[MOVES - 1] = B[MOVES - 1];
        dforn(j, MOVES - 1) D[j] = D[j + 1] + B[j];
    }
    up[0][i] = Pi, depth[i] = depth[Pi] + 1;
    forn(j, K - 1) up[j + 1][i] = up[j][up[j][i]];
    if (dist(i, u) > dist(u, v)) v = i;
    else if (dist(i, v) > dist(u, v)) u = i;
    candidatesU.pb(i), candidatesV.pb(i);
    if (i < N - D[0]) return 0;
    if (i <= N - D[0] && u > v) swap(u, v);
    forn(g, MOVES) if (i == N - D[g]) {
        int idxU = 0, idxV = 0;
        while (candidatesU[idxU] != u) idxU++;
        while (candidatesV[idxV] != v) idxV++;
        int base = getBase(g);
        int lenU = (sz(candidatesU) + base - 1) / base;
        int lenV = (sz(candidatesV) + base - 1) / base;
        int sectionU = idxU / lenU;
        assert(sectionU < base);
        int sectionV = idxV / lenV;
        assert(sectionV < base);
        if (T[g] <= 2) reduce(candidatesU, sectionU, lenU);
        if (T[g] % 2 != 0) reduce(candidatesV, sectionV, lenV);
        if (T[g] == -1) {
            assert(sectionU <= sectionV);
            assert(base * (base + 1) / 2 <= B[g] * 4 + 1);
            int number = sectionV * (sectionV + 1) / 2 + sectionU - 1;
            indice = number == -1 ? 0 : number / 4;
            assert(indice < B[g]);
            value = number % 4 + 1;
            continue;
        }
        if (T[g] == 1) {
            int number = sectionU * base + sectionV - 1;
            indice = number == -1 ? 0 : number / 4;
            assert(indice < B[g]);
            value = number % 4 + 1;
        } else if (T[g] == 2) value = sectionU;
        else if (T[g] == 3) value = sectionV;
        else {
            int idx = 0;
            forn(i, sz(candidatesU)) forn(j, sz(candidatesV)) {
                if (candidatesU[i] == candidatesV[j]) continue;
                if (candidatesU[i] == u && candidatesV[j] == v) value = idx;
                idx++;
            }
        }
    }
    forn(g, MOVES) if (i == N - D[g] + indice) return value;
    return 0;
}

ii longest_path(vi S) {
    D[MOVES - 1] = B[MOVES - 1];
    dforn(j, MOVES - 1) D[j] = D[j + 1] + B[j];
    vi candidatesU, candidatesV;
    forn(i, N) {
        candidatesU.pb(i), candidatesV.pb(i);
        forn(g, MOVES) if (i == N - D[g]) {
            int indice = -1, value = -1;
            forsn(j, i, i + B[g]) if (S[j] || (indice == -1 && j == i + B[g] - 1)) {
                indice = j - i;
                value = S[j];
            }
            int base = getBase(g);
            int lenU = (sz(candidatesU) + base - 1) / base;
            int lenV = (sz(candidatesV) + base - 1) / base;
            int number = value == 0 ? -1 : indice * 4 + (value - 1);
            number++;
            int sectionU = T[g] == 1 ? number / base : value;
            int sectionV = T[g] == 1 ? number % base : value;
            if (T[g] == -1) {
                sectionV = 0;
                while ((sectionV + 1) * (sectionV + 2) / 2 <= number) sectionV++;
                sectionU = number - sectionV * (sectionV + 1) / 2;
            }
            if (T[g] <= 2) reduce(candidatesU, sectionU, lenU);
            if (T[g] % 2 != 0) reduce(candidatesV, sectionV, lenV);
            if (T[g] == 4) {
                int idx = 0;
                forn(i, sz(candidatesU)) forn(j, sz(candidatesV)) {
                    if (candidatesU[i] == candidatesV[j]) continue;
                    if (idx == value) return {candidatesU[i], candidatesV[j]};
                    idx++;
                }
            }
        }
    }
    assert(false);
}

• Subtask 0: 0 / 0
• Subtask 1: 30 / 30
• Subtask 2: 0 / 70