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답안 #934802

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
934802 2024-02-28T03:09:37 Z Joshua_Andersson Inside information (BOI21_servers) C++14
100 / 100
 1854 ms 131520 KB 
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
//#define int ll
const int inf = int(1e9);

typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<int, int> p2;

#define rep(i, high) for (int i = 0; i < high; i++)
#define repp(i, low, high) for (int i = low; i < high; i++)
#define repe(i, container) for (auto& i : container)
#define sz(container) ((int)container.size())
#define all(x) begin(x),end(x)
#define ceildiv(x,y) ((x + y - 1) / (y))

inline void fast() { ios::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); }

#define _LOCAL _DEBUG
#if _LOCAL
#define assert(x) if (!(x)) __debugbreak()
#endif

const int maxn = int(1.5e5);
int tin[maxn];
int tout[maxn];
int timer = 0;
int up[maxn][18];
bool upincreasing[maxn][18];
bool updecreasing[maxn][18];
int upmax[maxn][18];
int upmin[maxn][18];
int upv[maxn];

void dfs(int u, int p, int p1, int _p2, vector<vector<p2>>& edges)
{
    tin[u] = timer++;
    up[u][0] = p;
    upmax[u][0] = upv[u];
    upmin[u][0] = upv[u];
    upincreasing[u][0] = upmax[u][0] < upmax[p][0] || p == 0 || u == 0;
    updecreasing[u][0] = upmax[u][0] > upmax[p][0] || p == 0 || u == 0;
    repp(d, 1, 18)
    {
        int mid = up[u][d - 1];
        up[u][d] = up[mid][d - 1];
        upmax[u][d] = max(upmax[u][d - 1], upmax[mid][d - 1]);
        upmin[u][d] = min(upmin[u][d - 1], upmin[mid][d - 1]);
        upincreasing[u][d] = upincreasing[u][d - 1] && upincreasing[mid][d - 1] && (upmax[mid][0] < upmax[up[mid][0]][0] || up[mid][0] == 0 || mid == 0);
        updecreasing[u][d] = updecreasing[u][d - 1] && updecreasing[mid][d - 1] && (upmax[mid][0] > upmax[up[mid][0]][0] || up[mid][0] == 0 || mid == 0);
    }

    repe(e, edges[u]) if (e.first != p)
    {
        upv[e.first] = e.second;
        dfs(e.first, u, p1, _p2, edges);
    }

    tout[u] = timer++;
}

bool isancestor(int a, int b)
{
    return tin[a] <= tin[b] && tout[a] >= tout[b];
}

int pathmax(int a, int b)
{
    if (isancestor(a, b)) return -1;
    int ret = -1;
    for (int d = 17; d >= 0; d--)
    {
        if (!isancestor(up[a][d], b))
        {
            ret = max(ret, upmax[a][d]);
            a = up[a][d];
        }
    }
    return max(ret, upmax[a][0]);
}

int pathmin(int a, int b)
{
    if (isancestor(a, b)) return inf;
    int ret = inf;
    for (int d = 17; d >= 0; d--)
    {
        if (!isancestor(up[a][d], b))
        {
            ret = min(ret, upmin[a][d]);
            a = up[a][d];
        }
    }
    return min(ret, upmin[a][0]);
}

int lca(int a, int b)
{
    if (isancestor(a, b)) return a;
    if (isancestor(b, a)) return b;
    for (int d = 17; d >= 0; d--)
    {
        if (!isancestor(up[a][d], b))
        {
            a = up[a][d];
        }
    }
    return up[a][0];
}

struct Centroid
{
    int n;
    vvi edges;
    vi vis;
    vi par;
    vi size;

    Centroid() {}
    Centroid(vvi& edges) : edges(edges), n(edges.size()), vis(n), par(n), size(n)
    {
        init_centroid(0, -1);
    }

    int find_centroid(int u, int p, int n)
    {
        repe(e, edges[u])
        {
            if (e == p) continue;
            if (!vis[e] && size[e] > n / 2) return find_centroid(e, u, n);
        }
        return u;
    }

    int find_size(int u, int p)
    {
        if (vis[u]) return 0;
        size[u] = 1;

        repe(e, edges[u])
        {
            if (e == p) continue;
            size[u] += find_size(e, u);
        }
        return size[u];
    }

    void init_centroid(int u, int p)
    {
        find_size(u, u);

        int c = find_centroid(u, u, size[u]);
        vis[c] = 1;
        par[c] = p;

        repe(e, edges[c])
        {
            if (!vis[e]) init_centroid(e, c);
        }
    }
};

struct fenwick
{
    vi tree;
    fenwick(int n) : tree(n+1) {}

    void update(int i, int v)
    {
        for (i++; i < sz(tree); i += i & -i)
            tree[i] += v;
    }

    int query(int i)
    {
        int ret = 0;
        for (i++; i > 0; i -= i & -i)
            ret += tree[i];
        return ret;
    }
};

signed main()
{
    fast();

    //ifstream in("C:\\Users\\Matis\\desktop\\comp_prog\\x64\\debug\\in.txt");
    //cin.rdbuf(in.rdbuf());

    int n, q;
    cin >> n >> q;

    vvi queries;
    int t = 0;
    vector<vector<p2>> edges(n);
    vector<p2> edgelist;
    vvi e(n);
    rep(i, n + q - 1)
    {
        char c;
        cin >> c;
        if (c == 'S')
        {
            int a, b;
            cin >> a >> b;
            a--; b--;
            edgelist.push_back(p2(a, b));
            edges[a].push_back(p2(b, t));
            edges[b].push_back(p2(a, t));
            e[a].push_back(b);
            e[b].push_back(a);
            t++;
        }
        else if (c == 'Q')
        {
            int a, b;
            cin >> a >> b;
            a--; b--;
            queries.push_back({ 0, b, a, t - 1 });
        }
        else
        {
            int c;
            cin >> c;
            c--;
            queries.push_back({ 1, c, -1, t - 1 });
        }
    }
    dfs(0, 0, -1, -1, edges);
    Centroid cent(e);

    auto getmax = [&](int a, int b)
    {
        return max(pathmax(a, b), pathmax(b, a));
    };

    auto getmin = [&](int a, int b)
    {
        return min(pathmin(a, b), pathmin(b, a));
    };

    auto pathgood = [&](int a, int b, int t)
    {
        if (getmax(a, b) > t) return false;
        // all edges <= t
        // from b->lca increasing
        // from a->lca decreasing
        bool good = 1;
        int u = b;
        int prev = inf;
        for (int d = 17; d >= 0; d--)
        {
            if (!isancestor(up[u][d], a))
            {
                good &= updecreasing[u][d];
                u = up[u][d];
            }
        }
        if (!isancestor(u, a))
        {
            prev = upmax[u][0];
        }

        u = a;
        int v = -1;
        for (int d = 17; d >= 0; d--)
        {
            if (!isancestor(up[u][d], b))
            {
                good &= upincreasing[u][d];
                u = up[u][d];
            }
        }
        if (!isancestor(u, b))
        {
            v = upmax[u][0];
        }

        return good && (v < prev);
    };

    vector<fenwick> children(n, fenwick(0));
    vi centroidpar = cent.par;
    

    vector<vector<p2>> enableat(n + 2);
    vvi values(n);
    rep(i, n)
    {
        int u = centroidpar[i];
        while (u != -1)
        {
            if (pathgood(u, i, inf))
            {
                enableat[getmax(u, i)].emplace_back(u, getmin(i, u));
                values[u].push_back(getmin(i, u));
            }
            u = centroidpar[u];
        }
    }
    vector<map<int, int>> fenpos(n);
    rep(i, n)
    {
        set<int> cv(all(values[i]));
        int j = 0;
        repe(e, cv) fenpos[i][e] = j++;
        children[i] = fenwick(cv.size());
    }
    vi tot(n);

    int timer = 0;
    repe(q, queries)
    {
        int type = q[0], a = q[1], b = q[2], t = q[3];

        if (type == 0)
        {
            cout << (pathgood(a, b, t) ? "yes" : "no") << "\n";
        }
        else
        {

            while (timer <= t)
            {
                repe(e, enableat[timer])
                {
                    children[e.first].update(fenpos[e.first][e.second], 1);
                    tot[e.first]++;
                }
                timer++;
            }

            int ans = tot[a];
            int u = a;
            int prev = u;
            while (centroidpar[u]!=-1)
            {
                prev = u;
                u = centroidpar[u];
                if (pathgood(a, u, t))
                {
                    ans++;
                    int v = getmax(a, u);
                    ans += tot[u];
                    int ind = sz(fenpos[u]);
                    auto it = fenpos[u].upper_bound(v);
                    if (it != fenpos[u].end()) ind = it->second;
                    if (ind) ans -= children[u].query(ind - 1);
                }
            }

            cout << ans + 1 << "\n";
        }
    }

    return 0;
}

Compilation message

servers.cpp: In constructor 'Centroid::Centroid(vvi&)':
servers.cpp:116:9: warning: 'Centroid::edges' will be initialized after [-Wreorder]
  116 |     vvi edges;
      |         ^~~~~
servers.cpp:115:9: warning:   'int Centroid::n' [-Wreorder]
  115 |     int n;
      |         ^
servers.cpp:122:5: warning:   when initialized here [-Wreorder]
  122 |     Centroid(vvi& edges) : edges(edges), n(edges.size()), vis(n), par(n), size(n)
      |     ^~~~~~~~
servers.cpp: In function 'int main()':
servers.cpp:337:17: warning: variable 'prev' set but not used [-Wunused-but-set-variable]
  337 |             int prev = u;
      |                 ^~~~

Subtask #1
2.5 / 2.5

# 결과 실행 시간 메모리 Grader output
1 Correct 32 ms 18420 KB Output is correct
2 Correct 47 ms 20736 KB Output is correct
3 Correct 44 ms 20740 KB Output is correct
4 Correct 66 ms 21008 KB Output is correct
5 Correct 68 ms 21244 KB Output is correct
6 Correct 46 ms 20996 KB Output is correct

Subtask #2
2.5 / 2.5

# 결과 실행 시간 메모리 Grader output
1 Correct 32 ms 18420 KB Output is correct
2 Correct 47 ms 20736 KB Output is correct
3 Correct 44 ms 20740 KB Output is correct
4 Correct 66 ms 21008 KB Output is correct
5 Correct 68 ms 21244 KB Output is correct
6 Correct 46 ms 20996 KB Output is correct
7 Correct 36 ms 18428 KB Output is correct
8 Correct 63 ms 20344 KB Output is correct
9 Correct 49 ms 20748 KB Output is correct
10 Correct 104 ms 20476 KB Output is correct
11 Correct 150 ms 21120 KB Output is correct
12 Correct 43 ms 20740 KB Output is correct

Subtask #3
2.5 / 2.5

# 결과 실행 시간 메모리 Grader output
1 Correct 31 ms 18408 KB Output is correct
2 Correct 280 ms 106472 KB Output is correct
3 Correct 257 ms 106596 KB Output is correct

Subtask #4
2.5 / 2.5

# 결과 실행 시간 메모리 Grader output
1 Correct 31 ms 18408 KB Output is correct
2 Correct 280 ms 106472 KB Output is correct
3 Correct 257 ms 106596 KB Output is correct
4 Correct 31 ms 18468 KB Output is correct
5 Correct 297 ms 106468 KB Output is correct
6 Correct 236 ms 105600 KB Output is correct
7 Correct 241 ms 105704 KB Output is correct

Subtask #5
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 28 ms 18432 KB Output is correct
2 Correct 630 ms 120148 KB Output is correct
3 Correct 616 ms 120180 KB Output is correct
4 Correct 733 ms 131448 KB Output is correct

Subtask #6
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 28 ms 18432 KB Output is correct
2 Correct 630 ms 120148 KB Output is correct
3 Correct 616 ms 120180 KB Output is correct
4 Correct 733 ms 131448 KB Output is correct
5 Correct 30 ms 18432 KB Output is correct
6 Correct 850 ms 119728 KB Output is correct
7 Correct 988 ms 130420 KB Output is correct
8 Correct 986 ms 119344 KB Output is correct
9 Correct 1010 ms 119152 KB Output is correct

Subtask #7
10.0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 34 ms 18444 KB Output is correct
2 Correct 389 ms 110624 KB Output is correct
3 Correct 404 ms 102500 KB Output is correct

Subtask #8
10.0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 34 ms 18444 KB Output is correct
2 Correct 389 ms 110624 KB Output is correct
3 Correct 404 ms 102500 KB Output is correct
4 Correct 33 ms 18432 KB Output is correct
5 Correct 492 ms 110072 KB Output is correct
6 Correct 527 ms 101948 KB Output is correct

Subtask #9
12.5 / 12.5

# 결과 실행 시간 메모리 Grader output
1 Correct 29 ms 18444 KB Output is correct
2 Correct 619 ms 120032 KB Output is correct
3 Correct 616 ms 120076 KB Output is correct
4 Correct 722 ms 131520 KB Output is correct
5 Correct 32 ms 18444 KB Output is correct
6 Correct 391 ms 110652 KB Output is correct
7 Correct 378 ms 102456 KB Output is correct
8 Correct 558 ms 102844 KB Output is correct
9 Correct 554 ms 102952 KB Output is correct
10 Correct 1213 ms 113668 KB Output is correct
11 Correct 1226 ms 112304 KB Output is correct

Subtask #10
12.5 / 12.5

# 결과 실행 시간 메모리 Grader output
1 Correct 29 ms 18444 KB Output is correct
2 Correct 619 ms 120032 KB Output is correct
3 Correct 616 ms 120076 KB Output is correct
4 Correct 722 ms 131520 KB Output is correct
5 Correct 32 ms 18444 KB Output is correct
6 Correct 391 ms 110652 KB Output is correct
7 Correct 378 ms 102456 KB Output is correct
8 Correct 558 ms 102844 KB Output is correct
9 Correct 554 ms 102952 KB Output is correct
10 Correct 1213 ms 113668 KB Output is correct
11 Correct 1226 ms 112304 KB Output is correct
12 Correct 29 ms 18428 KB Output is correct
13 Correct 868 ms 119476 KB Output is correct
14 Correct 992 ms 130480 KB Output is correct
15 Correct 1025 ms 119400 KB Output is correct
16 Correct 1000 ms 119160 KB Output is correct
17 Correct 33 ms 18492 KB Output is correct
18 Correct 492 ms 110100 KB Output is correct
19 Correct 498 ms 102124 KB Output is correct
20 Correct 736 ms 102504 KB Output is correct
21 Correct 693 ms 102516 KB Output is correct
22 Correct 1640 ms 111452 KB Output is correct
23 Correct 1854 ms 119452 KB Output is correct
24 Correct 1418 ms 118208 KB Output is correct

Subtask #11
17.5 / 17.5

# 결과 실행 시간 메모리 Grader output
1 Correct 32 ms 18448 KB Output is correct
2 Correct 46 ms 20636 KB Output is correct
3 Correct 44 ms 20896 KB Output is correct
4 Correct 59 ms 20988 KB Output is correct
5 Correct 69 ms 21784 KB Output is correct
6 Correct 44 ms 20992 KB Output is correct
7 Correct 31 ms 18436 KB Output is correct
8 Correct 261 ms 106476 KB Output is correct
9 Correct 258 ms 106476 KB Output is correct
10 Correct 29 ms 18444 KB Output is correct
11 Correct 597 ms 120036 KB Output is correct
12 Correct 607 ms 120184 KB Output is correct
13 Correct 731 ms 131424 KB Output is correct
14 Correct 32 ms 18432 KB Output is correct
15 Correct 383 ms 110708 KB Output is correct
16 Correct 387 ms 102456 KB Output is correct
17 Correct 557 ms 102720 KB Output is correct
18 Correct 547 ms 103064 KB Output is correct
19 Correct 1140 ms 113676 KB Output is correct
20 Correct 1278 ms 112252 KB Output is correct
21 Correct 274 ms 104448 KB Output is correct
22 Correct 278 ms 104196 KB Output is correct
23 Correct 338 ms 103512 KB Output is correct
24 Correct 329 ms 103536 KB Output is correct
25 Correct 765 ms 108928 KB Output is correct
26 Correct 429 ms 102084 KB Output is correct
27 Correct 423 ms 101748 KB Output is correct

Subtask #12
17.5 / 17.5

# 결과 실행 시간 메모리 Grader output
1 Correct 32 ms 18448 KB Output is correct
2 Correct 46 ms 20636 KB Output is correct
3 Correct 44 ms 20896 KB Output is correct
4 Correct 59 ms 20988 KB Output is correct
5 Correct 69 ms 21784 KB Output is correct
6 Correct 44 ms 20992 KB Output is correct
7 Correct 31 ms 18436 KB Output is correct
8 Correct 261 ms 106476 KB Output is correct
9 Correct 258 ms 106476 KB Output is correct
10 Correct 29 ms 18444 KB Output is correct
11 Correct 597 ms 120036 KB Output is correct
12 Correct 607 ms 120184 KB Output is correct
13 Correct 731 ms 131424 KB Output is correct
14 Correct 32 ms 18432 KB Output is correct
15 Correct 383 ms 110708 KB Output is correct
16 Correct 387 ms 102456 KB Output is correct
17 Correct 557 ms 102720 KB Output is correct
18 Correct 547 ms 103064 KB Output is correct
19 Correct 1140 ms 113676 KB Output is correct
20 Correct 1278 ms 112252 KB Output is correct
21 Correct 274 ms 104448 KB Output is correct
22 Correct 278 ms 104196 KB Output is correct
23 Correct 338 ms 103512 KB Output is correct
24 Correct 329 ms 103536 KB Output is correct
25 Correct 765 ms 108928 KB Output is correct
26 Correct 429 ms 102084 KB Output is correct
27 Correct 423 ms 101748 KB Output is correct
28 Correct 34 ms 18452 KB Output is correct
29 Correct 62 ms 20476 KB Output is correct
30 Correct 50 ms 20732 KB Output is correct
31 Correct 101 ms 20848 KB Output is correct
32 Correct 152 ms 21516 KB Output is correct
33 Correct 44 ms 20808 KB Output is correct
34 Correct 31 ms 18444 KB Output is correct
35 Correct 281 ms 106476 KB Output is correct
36 Correct 247 ms 105812 KB Output is correct
37 Correct 253 ms 105836 KB Output is correct
38 Correct 29 ms 18432 KB Output is correct
39 Correct 847 ms 119768 KB Output is correct
40 Correct 1010 ms 130496 KB Output is correct
41 Correct 998 ms 119596 KB Output is correct
42 Correct 1032 ms 119348 KB Output is correct
43 Correct 32 ms 18432 KB Output is correct
44 Correct 497 ms 110716 KB Output is correct
45 Correct 534 ms 102004 KB Output is correct
46 Correct 706 ms 102100 KB Output is correct
47 Correct 687 ms 102596 KB Output is correct
48 Correct 1597 ms 111524 KB Output is correct
49 Correct 1815 ms 119568 KB Output is correct
50 Correct 1404 ms 118092 KB Output is correct
51 Correct 270 ms 104396 KB Output is correct
52 Correct 260 ms 106624 KB Output is correct
53 Correct 243 ms 106104 KB Output is correct
54 Correct 243 ms 106784 KB Output is correct
55 Correct 241 ms 103760 KB Output is correct
56 Correct 383 ms 103236 KB Output is correct
57 Correct 793 ms 108844 KB Output is correct
58 Correct 651 ms 101384 KB Output is correct
59 Correct 446 ms 101824 KB Output is correct