oj.uz

Submission #933945

# Submission time Handle Problem Language Result Execution time Memory
933945 2024-02-26T15:26:41 Z boris_mihov Tourism (JOI23_tourism) C++17
10 / 100
 88 ms 67692 KB 
#include <algorithm>
#include <iostream>
#include <numeric>
#include <cassert>
#include <vector>
#include <stack>
#include <cmath>

#pragma GCC optimize ("O3")
#pragma GCC target ("sse4")

typedef long long llong;
const int MAXN = 100000 + 10;
const int MAXLOG = 18;
const int INF  = 1e9;

int n, m, q;
int in[MAXN];
int out[MAXN];
int globalCost;
bool isInC[MAXN];
std::vector <int> notInC;
std::vector <int> inTimes;
int cnt[MAXN];
int c[MAXN];

struct LinkedList
{
    struct Sparse
    {
        int sparse[MAXLOG][2 * MAXN];
        std::vector <int> tour;
        int getLog[2 * MAXN];
        int depth[MAXN];

        int cmp(int x, int y)
        {
            if (depth[x] < depth[y]) return x;
            else return y;
        }

        void build(std::vector <int> _tour, int dep[])
        {
            tour = _tour;
            for (int i = 1 ; i <= n ; ++i)
            {
                depth[i] = dep[i];
            }

            for (int i = 1 ; i < tour.size() ; ++i)
            {
                sparse[0][i] = tour[i];
            }

            for (int lg = 1 ; (1 << lg) <= tour.size() ; ++lg)
            {
                for (int i = 1 ; i + (1 << lg) - 1 < tour.size() ; ++i)
                {
                    sparse[lg][i] = cmp(sparse[lg - 1][i], sparse[lg - 1][i + (1 << lg - 1)]);
                }
            }

            for (int i = 1 ; i <= tour.size() ; ++i)
            {
                getLog[i] = getLog[i - 1];
                if ((1 << getLog[i] + 1) < i) getLog[i]++;
            }
        }

        int findLCA(int l, int r)
        {
            int lg = getLog[r - l + 1];
            return cmp(sparse[lg][l], sparse[lg][r - (1 << lg) + 1]);
        }

        int findDist(int u, int v)
        {
            if (in[u] > in[v])
            {
                std::swap(u, v);
            }

            return depth[u] + depth[v] - 2 * depth[findLCA(in[u], in[v])];
        }
    };

    struct RollElement
    {
        int *element;
        int value;
        int time;
    };

    int answer;
    int prev[2 * MAXN];
    int next[2 * MAXN];
    std::stack <RollElement> st;
    std::vector <int> tour;
    Sparse sparse;
    int timer;

    void build(std::vector <int> _tour, int depth[])
    {
        tour = _tour;
        sparse.build(tour, depth);
    }

    void rebuild()
    {
        while (st.size())
        {
            st.pop();
        }

        int ptr = 0;
        for (int i = 0 ; i <= tour.size() ; ++i)
        {
            while (inTimes[ptr] <= i)
            {
                ptr++;
            }

            next[i] = inTimes[ptr];
        }

        ptr = inTimes.size() - 1;
        for (int i = tour.size() ; i >= 0 ; --i)
        {
            while (inTimes[ptr] >= i)
            {
                ptr--;
            }

            prev[i] = inTimes[ptr];
        }

        std::fill(cnt, cnt + 1 + 2 * n, 0);
        for (int i = 1 ; i <= m ; ++i)
        {
            cnt[in[c[i]]]++;
        }

        answer = 2 * n - 2 - sparse.findDist(tour[next[0]], tour[prev[tour.size()]]);
        timer = 0;

        for (const int &i : notInC)
        {
            remove(in[i]);
        }

    }

    void roll(int to)
    {
        while (st.size() && st.top().time > to)
        {
            *st.top().element = st.top().value;
            st.pop();
        }
    }

    void remove(int idx)
    {
        timer++;
        st.push({&cnt[idx], cnt[idx], timer});
        cnt[idx]--;

        if (cnt[idx] > 0)
        {
            return;
        }

        int l = prev[idx];
        int r = next[idx];
        st.push({&answer, answer, timer});
        st.push({&next[l], next[l], timer});
        st.push({&prev[r], prev[r], timer});

        if (l > 0) answer -= sparse.findDist(tour[l], tour[idx]);
        if (r < tour.size()) answer -= sparse.findDist(tour[idx], tour[r]);
        if (l > 0 && r < tour.size()) answer += sparse.findDist(tour[l], tour[r]);
        next[l] = r;
        prev[r] = l;
        getAnswer();
    }

    int getAnswer()
    {
        int res = answer;
        res += sparse.findDist(tour[next[0]], tour[prev[tour.size()]]);
        assert(res % 2 == 0);
        return res / 2 + 1;
    }
};

int bucketSize;
LinkedList list;
struct Query
{
    int l, r;
    int idx;

    friend bool operator < (const Query &a, const Query &b)
    {
        if (a.l / bucketSize != b.l / bucketSize) return a.l < b.l;
        return a.r > b.r;
    }
};

int depth[MAXN];
int answer[MAXN];
std::vector <int> tour;
std::vector <int> g[MAXN];
Query query[MAXN];

void buildDFS(int node, int par)
{
    depth[node] = depth[par] + 1;
    in[node] = tour.size();
    tour.push_back(node);

    for (const int &u : g[node])
    {
        if (u == par)
        {
            continue;
        }

        buildDFS(u, node);
        tour.push_back(node);
    }
    
    out[node] = tour.size();
}

void solve()
{
    bucketSize = sqrt(m);
    tour.push_back(0);
    buildDFS(1, 0);

    for (int i = 1 ; i <= n ; ++i)
    {
        inTimes.push_back(in[i]);
    }

    inTimes.push_back(-1);
    inTimes.push_back(0);
    inTimes.push_back(tour.size());
    inTimes.push_back(tour.size() + 1);
    std::sort(inTimes.begin(), inTimes.end());
    for (int i = 1 ; i <= m ; ++i)
    {
        isInC[c[i]] = true;
    }

    for (int i = 1 ; i <= n ; ++i)
    {
        if (!isInC[i])
        {
            notInC.push_back(i);
        }
    }

    list.build(tour, depth);

    int lPtr = 1;
    int rPtr = m;
    int lastBucket = -1;
    std::sort(query + 1, query + 1 + q);
    for (int i = 1 ; i <= q ; ++i)
    {
        int qL = query[i].l;
        int qR = query[i].r;

        if (qL / bucketSize != lastBucket)
        {
            lPtr = 1;
            rPtr = m;
            list.rebuild();
            lastBucket = qL / bucketSize;
            while (lPtr / bucketSize != lastBucket)
            {
                list.remove(in[c[lPtr]]);
                lPtr++;
            }
        }

        while (rPtr > qR)
        {
            list.remove(in[c[rPtr]]);
            rPtr--;
        }

        int rollTo = list.timer;
        int beforeL = lPtr;

        while (lPtr < qL)
        {
            list.remove(in[c[lPtr]]);
            lPtr++;
        }

        answer[query[i].idx] = list.getAnswer();
        lPtr = beforeL;
        list.getAnswer();
        list.roll(rollTo);
        list.getAnswer();
    }
}

void input()
{
    std::cin >> n >> m >> q;
    for (int i = 1 ; i < n ; ++i)
    {
        int u, v;
        std::cin >> u >> v;
        g[u].push_back(v);
        g[v].push_back(u);
    }

    for (int i = 1 ; i <= m ; ++i)
    {
        std::cin >> c[i];
    }

    for (int i = 1 ; i <= q ; ++i)
    {
        std::cin >> query[i].l >> query[i].r;
        query[i].idx = i;
    }
}

void print()
{
    for (int i = 1 ; i <= q ; ++i)
    {
        std::cout << answer[i] << '\n';
    }
}

void fastIOI()
{
    std::ios_base :: sync_with_stdio(0);
    std::cout.tie(nullptr);
    std::cin.tie(nullptr);
}

int main()
{
    fastIOI();
    input();
    solve();
    print();
    
    return 0;
}

Compilation message

tourism.cpp: In member function 'void LinkedList::Sparse::build(std::vector<int>, int*)':
tourism.cpp:50:32: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   50 |             for (int i = 1 ; i < tour.size() ; ++i)
      |                              ~~^~~~~~~~~~~~~
tourism.cpp:55:41: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   55 |             for (int lg = 1 ; (1 << lg) <= tour.size() ; ++lg)
      |                               ~~~~~~~~~~^~~~~~~~~~~~~~
tourism.cpp:57:52: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   57 |                 for (int i = 1 ; i + (1 << lg) - 1 < tour.size() ; ++i)
      |                                  ~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~
tourism.cpp:59:88: warning: suggest parentheses around '-' inside '<<' [-Wparentheses]
   59 |                     sparse[lg][i] = cmp(sparse[lg - 1][i], sparse[lg - 1][i + (1 << lg - 1)]);
      |                                                                                     ~~~^~~
tourism.cpp:63:32: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   63 |             for (int i = 1 ; i <= tour.size() ; ++i)
      |                              ~~^~~~~~~~~~~~~~
tourism.cpp:66:37: warning: suggest parentheses around '+' inside '<<' [-Wparentheses]
   66 |                 if ((1 << getLog[i] + 1) < i) getLog[i]++;
      |                           ~~~~~~~~~~^~~
tourism.cpp: In member function 'void LinkedList::rebuild()':
tourism.cpp:116:28: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  116 |         for (int i = 0 ; i <= tour.size() ; ++i)
      |                          ~~^~~~~~~~~~~~~~
tourism.cpp: In member function 'void LinkedList::remove(int)':
tourism.cpp:180:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  180 |         if (r < tour.size()) answer -= sparse.findDist(tour[idx], tour[r]);
      |             ~~^~~~~~~~~~~~~
tourism.cpp:181:24: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  181 |         if (l > 0 && r < tour.size()) answer += sparse.findDist(tour[l], tour[r]);
      |                      ~~^~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12632 KB Output is correct
2 Correct 2 ms 12636 KB Output is correct
3 Correct 2 ms 14684 KB Output is correct
4 Correct 3 ms 16732 KB Output is correct
5 Correct 3 ms 16728 KB Output is correct
6 Correct 3 ms 16732 KB Output is correct
7 Correct 3 ms 16732 KB Output is correct
8 Correct 4 ms 18780 KB Output is correct
9 Correct 3 ms 18780 KB Output is correct
10 Correct 3 ms 18776 KB Output is correct
11 Correct 4 ms 18780 KB Output is correct
12 Correct 3 ms 18884 KB Output is correct
13 Correct 3 ms 18780 KB Output is correct
14 Correct 3 ms 18780 KB Output is correct
15 Correct 4 ms 18780 KB Output is correct
16 Correct 4 ms 18972 KB Output is correct
17 Correct 3 ms 18780 KB Output is correct
18 Correct 3 ms 18872 KB Output is correct
19 Correct 3 ms 18780 KB Output is correct
20 Correct 4 ms 18964 KB Output is correct
21 Correct 4 ms 18780 KB Output is correct
22 Correct 3 ms 18780 KB Output is correct
23 Correct 4 ms 18780 KB Output is correct
24 Correct 4 ms 18780 KB Output is correct
25 Correct 3 ms 18780 KB Output is correct
26 Correct 3 ms 18780 KB Output is correct
27 Correct 2 ms 10588 KB Output is correct
28 Correct 3 ms 18780 KB Output is correct
29 Correct 3 ms 18880 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12632 KB Output is correct
2 Correct 2 ms 12636 KB Output is correct
3 Correct 2 ms 14684 KB Output is correct
4 Correct 3 ms 16732 KB Output is correct
5 Correct 3 ms 16728 KB Output is correct
6 Correct 3 ms 16732 KB Output is correct
7 Correct 3 ms 16732 KB Output is correct
8 Correct 4 ms 18780 KB Output is correct
9 Correct 3 ms 18780 KB Output is correct
10 Correct 3 ms 18776 KB Output is correct
11 Correct 4 ms 18780 KB Output is correct
12 Correct 3 ms 18884 KB Output is correct
13 Correct 3 ms 18780 KB Output is correct
14 Correct 3 ms 18780 KB Output is correct
15 Correct 4 ms 18780 KB Output is correct
16 Correct 4 ms 18972 KB Output is correct
17 Correct 3 ms 18780 KB Output is correct
18 Correct 3 ms 18872 KB Output is correct
19 Correct 3 ms 18780 KB Output is correct
20 Correct 4 ms 18964 KB Output is correct
21 Correct 4 ms 18780 KB Output is correct
22 Correct 3 ms 18780 KB Output is correct
23 Correct 4 ms 18780 KB Output is correct
24 Correct 4 ms 18780 KB Output is correct
25 Correct 3 ms 18780 KB Output is correct
26 Correct 3 ms 18780 KB Output is correct
27 Correct 2 ms 10588 KB Output is correct
28 Correct 3 ms 18780 KB Output is correct
29 Correct 3 ms 18880 KB Output is correct
30 Correct 8 ms 19288 KB Output is correct
31 Correct 10 ms 19156 KB Output is correct
32 Correct 12 ms 19036 KB Output is correct
33 Correct 13 ms 19032 KB Output is correct
34 Correct 13 ms 19032 KB Output is correct
35 Correct 6 ms 19032 KB Output is correct
36 Correct 5 ms 19036 KB Output is correct
37 Correct 6 ms 19000 KB Output is correct
38 Correct 12 ms 19292 KB Output is correct
39 Correct 12 ms 19292 KB Output is correct
40 Correct 12 ms 19288 KB Output is correct
41 Correct 5 ms 19036 KB Output is correct
42 Correct 5 ms 19036 KB Output is correct
43 Correct 5 ms 19284 KB Output is correct
44 Correct 11 ms 19032 KB Output is correct
45 Correct 15 ms 19236 KB Output is correct
46 Correct 15 ms 19288 KB Output is correct
47 Correct 5 ms 19036 KB Output is correct
48 Correct 5 ms 19036 KB Output is correct
49 Correct 5 ms 19036 KB Output is correct
50 Correct 13 ms 19252 KB Output is correct
51 Correct 12 ms 19032 KB Output is correct
52 Correct 12 ms 19036 KB Output is correct
53 Correct 12 ms 19128 KB Output is correct
54 Correct 12 ms 19036 KB Output is correct
55 Correct 13 ms 19232 KB Output is correct
56 Correct 4 ms 10588 KB Output is correct
57 Correct 4 ms 19220 KB Output is correct
58 Correct 13 ms 19032 KB Output is correct

Subtask #3
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12636 KB Output is correct
2 Correct 2 ms 10588 KB Output is correct
3 Correct 4 ms 10588 KB Output is correct
4 Runtime error 88 ms 67692 KB Execution killed with signal 11
5 Halted 0 ms 0 KB -

Subtask #4
0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12636 KB Output is correct
2 Runtime error 53 ms 53568 KB Execution killed with signal 11
3 Halted 0 ms 0 KB -

Subtask #5
0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12636 KB Output is correct
2 Correct 2 ms 10588 KB Output is correct
3 Correct 4 ms 10588 KB Output is correct
4 Runtime error 82 ms 53888 KB Execution killed with signal 11
5 Halted 0 ms 0 KB -

Subtask #6
0 / 41.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12632 KB Output is correct
2 Correct 2 ms 12636 KB Output is correct
3 Correct 2 ms 14684 KB Output is correct
4 Correct 3 ms 16732 KB Output is correct
5 Correct 3 ms 16728 KB Output is correct
6 Correct 3 ms 16732 KB Output is correct
7 Correct 3 ms 16732 KB Output is correct
8 Correct 4 ms 18780 KB Output is correct
9 Correct 3 ms 18780 KB Output is correct
10 Correct 3 ms 18776 KB Output is correct
11 Correct 4 ms 18780 KB Output is correct
12 Correct 3 ms 18884 KB Output is correct
13 Correct 3 ms 18780 KB Output is correct
14 Correct 3 ms 18780 KB Output is correct
15 Correct 4 ms 18780 KB Output is correct
16 Correct 4 ms 18972 KB Output is correct
17 Correct 3 ms 18780 KB Output is correct
18 Correct 3 ms 18872 KB Output is correct
19 Correct 3 ms 18780 KB Output is correct
20 Correct 4 ms 18964 KB Output is correct
21 Correct 4 ms 18780 KB Output is correct
22 Correct 3 ms 18780 KB Output is correct
23 Correct 4 ms 18780 KB Output is correct
24 Correct 4 ms 18780 KB Output is correct
25 Correct 3 ms 18780 KB Output is correct
26 Correct 3 ms 18780 KB Output is correct
27 Correct 2 ms 10588 KB Output is correct
28 Correct 3 ms 18780 KB Output is correct
29 Correct 3 ms 18880 KB Output is correct
30 Correct 8 ms 19288 KB Output is correct
31 Correct 10 ms 19156 KB Output is correct
32 Correct 12 ms 19036 KB Output is correct
33 Correct 13 ms 19032 KB Output is correct
34 Correct 13 ms 19032 KB Output is correct
35 Correct 6 ms 19032 KB Output is correct
36 Correct 5 ms 19036 KB Output is correct
37 Correct 6 ms 19000 KB Output is correct
38 Correct 12 ms 19292 KB Output is correct
39 Correct 12 ms 19292 KB Output is correct
40 Correct 12 ms 19288 KB Output is correct
41 Correct 5 ms 19036 KB Output is correct
42 Correct 5 ms 19036 KB Output is correct
43 Correct 5 ms 19284 KB Output is correct
44 Correct 11 ms 19032 KB Output is correct
45 Correct 15 ms 19236 KB Output is correct
46 Correct 15 ms 19288 KB Output is correct
47 Correct 5 ms 19036 KB Output is correct
48 Correct 5 ms 19036 KB Output is correct
49 Correct 5 ms 19036 KB Output is correct
50 Correct 13 ms 19252 KB Output is correct
51 Correct 12 ms 19032 KB Output is correct
52 Correct 12 ms 19036 KB Output is correct
53 Correct 12 ms 19128 KB Output is correct
54 Correct 12 ms 19036 KB Output is correct
55 Correct 13 ms 19232 KB Output is correct
56 Correct 4 ms 10588 KB Output is correct
57 Correct 4 ms 19220 KB Output is correct
58 Correct 13 ms 19032 KB Output is correct
59 Correct 2 ms 12636 KB Output is correct
60 Correct 2 ms 10588 KB Output is correct
61 Correct 4 ms 10588 KB Output is correct
62 Runtime error 88 ms 67692 KB Execution killed with signal 11
63 Halted 0 ms 0 KB -