oj.uz

Submission #956173

# Submission time Handle Problem Language Result Execution time Memory
956173 2024-04-01T08:49:37 Z Vladth11 Cats or Dogs (JOI18_catdog) C++14
100 / 100
 442 ms 35484 KB 
#include <bits/stdc++.h>
#define debug(x) cerr << #x << " " << x << "\n"
#define debugs(x) cerr << #x << " " << x << " "
#pragma GCC optimize ("Ofast")
#pragma GCC target ("avx2")

#include "catdog.h"

using namespace std;
typedef long long ll;
typedef pair <ll, ll> pii;

const ll NMAX = 250002;
const int INF = 1e9;
const ll nrbits = 20;
const ll MOD = 998244353;

vector <int> v[NMAX];
int stamp;
int n;
pii timp[NMAX];
int sz[NMAX];
int maxi[NMAX];
int cpt[NMAX];
int last[NMAX];
int pa[NMAX];
int dp[NMAX][2]; /// suma vecinilor daca node e 0(cat)/1(dog)
int notAllowed[NMAX][2];

struct Node {
    int dp[2][2];
} aint[NMAX * 4];

void DFS(int node, int p) {
    sz[node] = 1;
    maxi[node] = -1;
    for(auto x : v[node]) {
        if(x == p) continue;
        DFS(x, node);
        sz[node] += sz[x];
        if(maxi[node] == -1 || sz[maxi[node]] < sz[x])
            maxi[node] = x;
    }
}

void hld(int node, int p, int capat) {
    timp[node].first = ++stamp;
    pa[node] = p;
    cpt[node] = capat;
    last[capat] = node;
    if(maxi[node] != -1) {
        hld(maxi[node], node, capat);
    }
    for(auto x : v[node]) {
        if(x == p || maxi[node] == x)
            continue;
        hld(x, node, x);
    }
    timp[node].second = stamp;
}

Node combine(Node a, Node b) {
    Node sol;
    for(int i = 0; i < 2; i++) {
        for(int j = 0; j < 2; j++) {
            sol.dp[i][j] = INF;
            for(int t = 0; t < 2; t++) {
                sol.dp[i][j] = min(sol.dp[i][j], a.dp[i][t] + min(b.dp[t][j], b.dp[(t ^ 1)][j] + 1));
            }
        }
    }
    return sol;
}

void update(int node, int st, int dr, int a, int realNode) {
    if(st == dr) {
        aint[node].dp[0][0] = dp[realNode][0] + notAllowed[realNode][0] * INF;
        aint[node].dp[1][1] = dp[realNode][1] + notAllowed[realNode][1] * INF;
        aint[node].dp[0][1] = aint[node].dp[1][0] = INF;
        return;
    }
    int mid = (st + dr) / 2;
    if(a <= mid)
        update(node * 2, st, mid, a, realNode);
    else
        update(node * 2 + 1, mid + 1, dr, a, realNode);
    aint[node] = combine(aint[node * 2], aint[node * 2 + 1]); /// numar mai mic => preordine primul => capatul lantului
}

Node query(int node, int st, int dr, int a, int b) {
    if(a <= st && dr <= b)
        return aint[node];
    int mid = (st + dr) / 2;
    if(b <= mid) {
        return query(node * 2, st, mid, a, b);
    }
    if(a > mid) {
        return query(node * 2 + 1, mid + 1, dr, a, b);
    }
    return combine(query(node * 2, st, mid, a, b), query(node * 2 + 1, mid + 1, dr, a, b));
}

pii realValue(int node) {
    Node x = query(1, 1, n, timp[node].first, timp[last[cpt[node]]].first);
    return {min(x.dp[0][1], x.dp[0][0]), min(x.dp[1][0], x.dp[1][1])};
}



void initialize(int N, std::vector<int> A, std::vector<int> B) {
    n = N;
    for(int i = 0; i < A.size(); i++) {
        v[A[i]].push_back(B[i]);
        v[B[i]].push_back(A[i]);
    }
    DFS(1, 0);
    hld(1, 0, 1);
    for(int i = 1; i <= n; i++) {
        /// aici nu avem ce adauga
        update(1, 1, n, timp[i].first, i); /// = {0, 0}
    }
}

void adauga(int node, int sgn) {
    vector <pii> perechi;
    while(pa[cpt[node]] != 0) {
        int unde = pa[cpt[node]];
        int cine = cpt[node];
        perechi.push_back({unde, cine});
        node = unde;
    }
    if(sgn == -1) reverse(perechi.begin(), perechi.end());
    for(auto x : perechi) {
        int unde = x.first;
        int cine = x.second;
        pii am = realValue(cine);
        dp[unde][0] += sgn * min(am.first, am.second + 1);
        dp[unde][1] += sgn * min(am.first + 1, am.second);
        update(1, 1, n, timp[unde].first, unde);
    }
}

int cat(int v) {
    adauga(v, -1);
    notAllowed[v][1] = 1;
    update(1, 1, n, timp[v].first, v);
    adauga(v, 1);
    pii sol = realValue(1);
    return min(sol.first, sol.second);
}

int dog(int v) {
    adauga(v, -1);
    notAllowed[v][0] = 1;
    update(1, 1, n, timp[v].first, v);
    adauga(v, 1);
    pii sol = realValue(1);
    return min(sol.first, sol.second);
}

int neighbor(int v) {
    adauga(v, -1);
    notAllowed[v][0] = notAllowed[v][1] = 0;
    update(1, 1, n, timp[v].first, v);
    adauga(v, 1);
    pii sol = realValue(1);
    return min(sol.first, sol.second);
}

Compilation message

catdog.cpp: In function 'void initialize(int, std::vector<int>, std::vector<int>)':
catdog.cpp:112:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  112 |     for(int i = 0; i < A.size(); i++) {
      |                    ~~^~~~~~~~~~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 13916 KB Output is correct
2 Correct 3 ms 13912 KB Output is correct
3 Correct 3 ms 13916 KB Output is correct
4 Correct 3 ms 13916 KB Output is correct
5 Correct 3 ms 13916 KB Output is correct
6 Correct 3 ms 13916 KB Output is correct
7 Correct 3 ms 13980 KB Output is correct
8 Correct 4 ms 13916 KB Output is correct
9 Correct 3 ms 14168 KB Output is correct
10 Correct 3 ms 13912 KB Output is correct
11 Correct 3 ms 13916 KB Output is correct
12 Correct 4 ms 13916 KB Output is correct
13 Correct 3 ms 13916 KB Output is correct
14 Correct 4 ms 13916 KB Output is correct
15 Correct 3 ms 13916 KB Output is correct
16 Correct 3 ms 13916 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 13916 KB Output is correct
2 Correct 3 ms 13912 KB Output is correct
3 Correct 3 ms 13916 KB Output is correct
4 Correct 3 ms 13916 KB Output is correct
5 Correct 3 ms 13916 KB Output is correct
6 Correct 3 ms 13916 KB Output is correct
7 Correct 3 ms 13980 KB Output is correct
8 Correct 4 ms 13916 KB Output is correct
9 Correct 3 ms 14168 KB Output is correct
10 Correct 3 ms 13912 KB Output is correct
11 Correct 3 ms 13916 KB Output is correct
12 Correct 4 ms 13916 KB Output is correct
13 Correct 3 ms 13916 KB Output is correct
14 Correct 4 ms 13916 KB Output is correct
15 Correct 3 ms 13916 KB Output is correct
16 Correct 3 ms 13916 KB Output is correct
17 Correct 4 ms 13912 KB Output is correct
18 Correct 6 ms 13916 KB Output is correct
19 Correct 4 ms 13916 KB Output is correct
20 Correct 3 ms 13916 KB Output is correct
21 Correct 4 ms 13916 KB Output is correct
22 Correct 3 ms 14004 KB Output is correct
23 Correct 4 ms 13988 KB Output is correct
24 Correct 4 ms 13912 KB Output is correct
25 Correct 4 ms 13912 KB Output is correct
26 Correct 4 ms 13916 KB Output is correct
27 Correct 3 ms 13916 KB Output is correct
28 Correct 3 ms 13916 KB Output is correct
29 Correct 5 ms 13916 KB Output is correct
30 Correct 3 ms 13916 KB Output is correct
31 Correct 3 ms 13988 KB Output is correct
32 Correct 3 ms 13916 KB Output is correct

Subtask #3
62.0 / 62.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 13916 KB Output is correct
2 Correct 3 ms 13912 KB Output is correct
3 Correct 3 ms 13916 KB Output is correct
4 Correct 3 ms 13916 KB Output is correct
5 Correct 3 ms 13916 KB Output is correct
6 Correct 3 ms 13916 KB Output is correct
7 Correct 3 ms 13980 KB Output is correct
8 Correct 4 ms 13916 KB Output is correct
9 Correct 3 ms 14168 KB Output is correct
10 Correct 3 ms 13912 KB Output is correct
11 Correct 3 ms 13916 KB Output is correct
12 Correct 4 ms 13916 KB Output is correct
13 Correct 3 ms 13916 KB Output is correct
14 Correct 4 ms 13916 KB Output is correct
15 Correct 3 ms 13916 KB Output is correct
16 Correct 3 ms 13916 KB Output is correct
17 Correct 4 ms 13912 KB Output is correct
18 Correct 6 ms 13916 KB Output is correct
19 Correct 4 ms 13916 KB Output is correct
20 Correct 3 ms 13916 KB Output is correct
21 Correct 4 ms 13916 KB Output is correct
22 Correct 3 ms 14004 KB Output is correct
23 Correct 4 ms 13988 KB Output is correct
24 Correct 4 ms 13912 KB Output is correct
25 Correct 4 ms 13912 KB Output is correct
26 Correct 4 ms 13916 KB Output is correct
27 Correct 3 ms 13916 KB Output is correct
28 Correct 3 ms 13916 KB Output is correct
29 Correct 5 ms 13916 KB Output is correct
30 Correct 3 ms 13916 KB Output is correct
31 Correct 3 ms 13988 KB Output is correct
32 Correct 3 ms 13916 KB Output is correct
33 Correct 266 ms 22968 KB Output is correct
34 Correct 93 ms 22768 KB Output is correct
35 Correct 251 ms 22360 KB Output is correct
36 Correct 395 ms 28684 KB Output is correct
37 Correct 23 ms 20412 KB Output is correct
38 Correct 436 ms 29500 KB Output is correct
39 Correct 442 ms 29480 KB Output is correct
40 Correct 429 ms 29504 KB Output is correct
41 Correct 435 ms 29676 KB Output is correct
42 Correct 402 ms 29500 KB Output is correct
43 Correct 414 ms 29476 KB Output is correct
44 Correct 415 ms 29692 KB Output is correct
45 Correct 416 ms 29312 KB Output is correct
46 Correct 427 ms 29512 KB Output is correct
47 Correct 418 ms 29472 KB Output is correct
48 Correct 126 ms 26268 KB Output is correct
49 Correct 140 ms 27616 KB Output is correct
50 Correct 49 ms 18000 KB Output is correct
51 Correct 57 ms 21096 KB Output is correct
52 Correct 28 ms 17568 KB Output is correct
53 Correct 192 ms 27724 KB Output is correct
54 Correct 137 ms 21916 KB Output is correct
55 Correct 359 ms 26952 KB Output is correct
56 Correct 222 ms 22596 KB Output is correct
57 Correct 304 ms 27792 KB Output is correct
58 Correct 29 ms 20952 KB Output is correct
59 Correct 50 ms 21072 KB Output is correct
60 Correct 113 ms 26952 KB Output is correct
61 Correct 130 ms 27192 KB Output is correct
62 Correct 82 ms 25532 KB Output is correct
63 Correct 48 ms 24144 KB Output is correct
64 Correct 51 ms 25700 KB Output is correct
65 Correct 80 ms 31584 KB Output is correct
66 Correct 54 ms 19292 KB Output is correct
67 Correct 65 ms 28496 KB Output is correct
68 Correct 124 ms 32080 KB Output is correct
69 Correct 24 ms 17616 KB Output is correct
70 Correct 7 ms 14172 KB Output is correct
71 Correct 49 ms 24092 KB Output is correct
72 Correct 75 ms 30668 KB Output is correct
73 Correct 198 ms 35376 KB Output is correct
74 Correct 247 ms 31824 KB Output is correct
75 Correct 133 ms 35484 KB Output is correct
76 Correct 126 ms 33948 KB Output is correct
77 Correct 235 ms 32076 KB Output is correct