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Submission #955109

# Submission time Handle Problem Language Result Execution time Memory
955109 2024-03-29T11:56:49 Z cristi_tanase Cats or Dogs (JOI18_catdog) C++17
38 / 100
 3000 ms 25716 KB 
#include "catdog.h"
#include <bits/stdc++.h>

using namespace std;

const int nmax = 2e5 + 5, mod = 1e9 + 7, inf = 2e6;
int n, m;
vector<int> g[nmax], path[nmax];
int sz[nmax], heavy[nmax], depth[nmax], top[nmax], parent[nmax], pos[nmax], crtpos, bottom[nmax];

struct T {
    int cc, cd, dc, dd;
};

T aint[nmax * 4];

T combine(T x, T y) {
    T ans = {inf, inf, inf, inf};
    ans.cc = min({x.cc + y.cc, x.cc + y.dc + 1, x.cd + y.dc, x.cd + y.cc + 1});
    ans.cd = min({x.cc + y.cd, x.cc + y.dd + 1, x.cd + y.dd, x.cd + y.cd + 1});
    ans.dd = min({x.dd + y.dd, x.dd + y.cd + 1, x.dc + y.cd, x.dc + y.dd + 1});
    ans.dc = min({x.dd + y.dc, x.dd + y.cc + 1, x.dc + y.cc, x.dc + y.dc + 1});
    return ans;
}


void build(int node, int left, int right) {
    if (left == right) {
        aint[node].cc = aint[node].dd = 0;
        aint[node].cd = aint[node].dc = inf;
        return;
    }
    int mid = (left + right) / 2;
    build(node * 2, left, mid);
    build(node * 2 + 1, mid + 1, right);
//    aint[node] = combine(aint[node * 2], aint[node * 2 + 1]);
    aint[node].cc = aint[node].dd = 0;
    aint[node].cd = aint[node].dc = 0;
}

void update(int node, int left, int right, int x, pair<int, int> y) {
    if (left == right) {
        aint[node].cc = y.first;
        aint[node].dd = y.second;
        return;
    }
    int mid = (left + right) / 2;
    if (x <= mid) update(node * 2, left, mid, x, y);
    else update(node * 2 + 1, mid + 1, right, x, y);
    aint[node] = combine(aint[node * 2], aint[node * 2 + 1]);
}

void update(int x, pair<int, int> y) {
    update(1, 1, n, x, y);
}

T query(int node, int left, int right, int x, int y) {
    if (x <= left && right <= y) {
        return aint[node];
    }
    int mid = (left + right) / 2;
    if (x <= mid && y > mid) {
        return combine(query(node * 2, left, mid, x, y), query(node * 2 + 1, mid + 1, right, x, y));
    }
    if (x <= mid) {
        return query(node * 2, left, mid, x, y);
    }
    if (y > mid) {
        return query(node * 2 + 1, mid + 1, right, x, y);
    }
}

T query(int x, int y) {
    return query(1, 1, n, x, y);
}

void dfs1(int x, int par = 0) {
    sz[x] = 1;
    parent[x] = par;
    depth[x] = depth[par] + 1;
    int mx = 0;
    for (auto y: g[x]) {
        if (y == par) continue;
        dfs1(y, x);
        sz[x] += sz[y];
        if (sz[y] > mx) {
            heavy[x] = y;
            mx = sz[y];
        }
    }
}

void decompose(int x, int crttop) {
    path[crttop].push_back(x);
    top[x] = crttop;
    pos[x] = ++crtpos;
    if (heavy[x]) {
        decompose(heavy[x], crttop);
    }
    for (auto y: g[x]) {
        if (y == parent[x]) continue;
        if (heavy[x] != y) {
            decompose(y, y);
        }
    }
}

pair<int, int> getval(int x) {
    pair<int, int> ans; // first - cc ; second - dd
    for (auto y: g[x]) {
        if (y == parent[x] || y == heavy[x]) continue;
        T crt = query(pos[top[y]], pos[bottom[y]]);
        ans.first += min({crt.cc, crt.cd, crt.dc + 1, crt.dd + 1});
        ans.second += min({crt.cc + 1, crt.cd + 1, crt.dc, crt.dd});
    }
    T tmp = query(pos[x], pos[x]);
    if (tmp.cc == inf) ans.first = inf;
    if (tmp.dd == inf) ans.second = inf;
    return ans;
}

void dfs(int x) {
    for (auto y: g[x]) {
        if (y == parent[x]) continue;
        dfs(y);
    }
    pair<int, int> ans = getval(x);
    update(pos[x], ans);
}

void initialize(int N, std::vector<int> A, std::vector<int> B) {
    n = N; m = A.size();
    for (int i = 0; i < m; i++) {
        g[A[i]].push_back(B[i]);
        g[B[i]].push_back(A[i]);
    }
    dfs1(1);
    decompose(1, 1);
    build(1, 1, n);

    for (int i = 1; i <= n; i++) {
        for (auto x: path[i]) {
            bottom[x] = path[i].back();
        }
    }
    dfs(1);
}

int cat(int x) {
    pair<int, int> crt = getval(x);
    update(pos[x], {crt.first, inf});
    x = parent[top[x]];
    while (x) {
        auto tmp = getval(x);
        update(pos[x], getval(x));
        x = parent[top[x]];
    }
    T ans = query(pos[top[1]], pos[bottom[1]]);
    return min({ans.cc, ans.cd, ans.dc, ans.dd});
}

int dog(int x) {
    pair<int, int> crt = getval(x);
    update(pos[x], {inf, crt.second});
    x = parent[top[x]];
    while (x) {
        update(pos[x], getval(x));
        x = parent[top[x]];
    }
    T ans = query(pos[top[1]], pos[bottom[1]]);
    return min({ans.cc, ans.cd, ans.dc, ans.dd});
}

int neighbor(int x) {
    update(pos[x], {0, 0});
    pair<int, int> crt = getval(x);
    update(pos[x], crt);
    x = parent[top[x]];
    while (x) {
        update(pos[x], getval(x));
        x = parent[top[x]];
    }
    T ans = query(pos[top[1]], pos[bottom[1]]);
    return min({ans.cc, ans.cd, ans.dc, ans.dd});
}

Compilation message

catdog.cpp: In function 'int cat(int)':
catdog.cpp:154:14: warning: variable 'tmp' set but not used [-Wunused-but-set-variable]
  154 |         auto tmp = getval(x);
      |              ^~~
catdog.cpp: In function 'T query(int, int, int, int, int)':
catdog.cpp:71:1: warning: control reaches end of non-void function [-Wreturn-type]
   71 | }
      | ^

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 13148 KB Output is correct
2 Correct 3 ms 13148 KB Output is correct
3 Correct 3 ms 13148 KB Output is correct
4 Correct 3 ms 13148 KB Output is correct
5 Correct 3 ms 13148 KB Output is correct
6 Correct 3 ms 13148 KB Output is correct
7 Correct 3 ms 13280 KB Output is correct
8 Correct 3 ms 13148 KB Output is correct
9 Correct 3 ms 13148 KB Output is correct
10 Correct 3 ms 13300 KB Output is correct
11 Correct 3 ms 13148 KB Output is correct
12 Correct 7 ms 13236 KB Output is correct
13 Correct 3 ms 13144 KB Output is correct
14 Correct 4 ms 13144 KB Output is correct
15 Correct 3 ms 13148 KB Output is correct
16 Correct 3 ms 13148 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 13148 KB Output is correct
2 Correct 3 ms 13148 KB Output is correct
3 Correct 3 ms 13148 KB Output is correct
4 Correct 3 ms 13148 KB Output is correct
5 Correct 3 ms 13148 KB Output is correct
6 Correct 3 ms 13148 KB Output is correct
7 Correct 3 ms 13280 KB Output is correct
8 Correct 3 ms 13148 KB Output is correct
9 Correct 3 ms 13148 KB Output is correct
10 Correct 3 ms 13300 KB Output is correct
11 Correct 3 ms 13148 KB Output is correct
12 Correct 7 ms 13236 KB Output is correct
13 Correct 3 ms 13144 KB Output is correct
14 Correct 4 ms 13144 KB Output is correct
15 Correct 3 ms 13148 KB Output is correct
16 Correct 3 ms 13148 KB Output is correct
17 Correct 4 ms 13404 KB Output is correct
18 Correct 4 ms 13404 KB Output is correct
19 Correct 4 ms 13404 KB Output is correct
20 Correct 3 ms 13148 KB Output is correct
21 Correct 3 ms 13148 KB Output is correct
22 Correct 4 ms 13148 KB Output is correct
23 Correct 4 ms 13404 KB Output is correct
24 Correct 4 ms 13304 KB Output is correct
25 Correct 4 ms 13148 KB Output is correct
26 Correct 5 ms 13356 KB Output is correct
27 Correct 3 ms 13148 KB Output is correct
28 Correct 4 ms 13400 KB Output is correct
29 Correct 4 ms 13244 KB Output is correct
30 Correct 6 ms 13148 KB Output is correct
31 Correct 7 ms 13404 KB Output is correct
32 Correct 8 ms 13148 KB Output is correct

Subtask #3
0 / 62.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 13148 KB Output is correct
2 Correct 3 ms 13148 KB Output is correct
3 Correct 3 ms 13148 KB Output is correct
4 Correct 3 ms 13148 KB Output is correct
5 Correct 3 ms 13148 KB Output is correct
6 Correct 3 ms 13148 KB Output is correct
7 Correct 3 ms 13280 KB Output is correct
8 Correct 3 ms 13148 KB Output is correct
9 Correct 3 ms 13148 KB Output is correct
10 Correct 3 ms 13300 KB Output is correct
11 Correct 3 ms 13148 KB Output is correct
12 Correct 7 ms 13236 KB Output is correct
13 Correct 3 ms 13144 KB Output is correct
14 Correct 4 ms 13144 KB Output is correct
15 Correct 3 ms 13148 KB Output is correct
16 Correct 3 ms 13148 KB Output is correct
17 Correct 4 ms 13404 KB Output is correct
18 Correct 4 ms 13404 KB Output is correct
19 Correct 4 ms 13404 KB Output is correct
20 Correct 3 ms 13148 KB Output is correct
21 Correct 3 ms 13148 KB Output is correct
22 Correct 4 ms 13148 KB Output is correct
23 Correct 4 ms 13404 KB Output is correct
24 Correct 4 ms 13304 KB Output is correct
25 Correct 4 ms 13148 KB Output is correct
26 Correct 5 ms 13356 KB Output is correct
27 Correct 3 ms 13148 KB Output is correct
28 Correct 4 ms 13400 KB Output is correct
29 Correct 4 ms 13244 KB Output is correct
30 Correct 6 ms 13148 KB Output is correct
31 Correct 7 ms 13404 KB Output is correct
32 Correct 8 ms 13148 KB Output is correct
33 Correct 269 ms 19904 KB Output is correct
34 Correct 108 ms 20320 KB Output is correct
35 Correct 248 ms 19012 KB Output is correct
36 Correct 412 ms 24888 KB Output is correct
37 Correct 26 ms 17692 KB Output is correct
38 Correct 481 ms 25716 KB Output is correct
39 Correct 453 ms 25668 KB Output is correct
40 Correct 450 ms 25612 KB Output is correct
41 Correct 486 ms 25612 KB Output is correct
42 Correct 451 ms 25608 KB Output is correct
43 Correct 455 ms 25588 KB Output is correct
44 Correct 440 ms 25628 KB Output is correct
45 Correct 434 ms 25628 KB Output is correct
46 Correct 476 ms 25432 KB Output is correct
47 Correct 479 ms 25664 KB Output is correct
48 Execution timed out 3057 ms 24532 KB Time limit exceeded
49 Halted 0 ms 0 KB -