oj.uz

답안 #933958

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
933958 2024-02-26T15:36:27 Z boris_mihov Tourism (JOI23_tourism) C++17
17 / 100
 5000 ms 42508 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[2 * 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 RollElementCnt
    {
        int idx;
        int time;
        int value;
    };

    
    struct RollElement
    {
        int idx;
        int value;
    };

    int answer;
    int prev[2 * MAXN];
    int next[2 * MAXN];
    std::stack <RollElement> stNext;
    std::stack <RollElement> stPrev;
    std::stack <RollElementCnt> stCnt;
    std::stack <int> stAnswer;
    std::stack <int> stTime;
    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 (stNext.size())
        {
            stNext.pop();
        }

        while (stPrev.size())
        {
            stPrev.pop();
        }

        while (stCnt.size())
        {
            stCnt.pop();
        }

        while (stAnswer.size())
        {
            stAnswer.pop();
        }

        while (stTime.size())
        {
            stTime.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 (stCnt.top().time > to)
        {
            cnt[stCnt.top().idx] = stCnt.top().value;
            stCnt.pop();
        }

        while (stTime.size() && stTime.top() > to)
        {
            next[stNext.top().idx] = stNext.top().value;
            prev[stPrev.top().idx] = stPrev.top().value;
            answer = stAnswer.top();
            stNext.pop();
            stTime.pop();
            stPrev.pop();
            stAnswer.pop();
        }
    }

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

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

        int l = prev[idx];
        int r = next[idx];
        stTime.push(timer);
        stAnswer.push(answer);
        stNext.push({l, next[l]});
        stPrev.push({r, prev[r]});

        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:147:28: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  147 |         for (int i = 0 ; i <= tour.size() ; ++i)
      |                          ~~^~~~~~~~~~~~~~
tourism.cpp: In member function 'void LinkedList::remove(int)':
tourism.cpp:223:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  223 |         if (r < tour.size()) answer -= sparse.findDist(tour[idx], tour[r]);
      |             ~~^~~~~~~~~~~~~
tourism.cpp:224:24: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  224 |         if (l > 0 && r < tour.size()) answer += sparse.findDist(tour[l], tour[r]);
      |                      ~~^~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 12636 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 16872 KB Output is correct
7 Correct 3 ms 16732 KB Output is correct
8 Correct 3 ms 18780 KB Output is correct
9 Correct 4 ms 18776 KB Output is correct
10 Correct 4 ms 18920 KB Output is correct
11 Correct 4 ms 18780 KB Output is correct
12 Correct 3 ms 18776 KB Output is correct
13 Correct 3 ms 18924 KB Output is correct
14 Correct 3 ms 18780 KB Output is correct
15 Correct 3 ms 18780 KB Output is correct
16 Correct 3 ms 18780 KB Output is correct
17 Correct 3 ms 18776 KB Output is correct
18 Correct 3 ms 18968 KB Output is correct
19 Correct 4 ms 18864 KB Output is correct
20 Correct 3 ms 18780 KB Output is correct
21 Correct 3 ms 18780 KB Output is correct
22 Correct 4 ms 18780 KB Output is correct
23 Correct 3 ms 18780 KB Output is correct
24 Correct 3 ms 18892 KB Output is correct
25 Correct 3 ms 18780 KB Output is correct
26 Correct 3 ms 18948 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 18780 KB Output is correct

Subtask #2
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 12636 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 16872 KB Output is correct
7 Correct 3 ms 16732 KB Output is correct
8 Correct 3 ms 18780 KB Output is correct
9 Correct 4 ms 18776 KB Output is correct
10 Correct 4 ms 18920 KB Output is correct
11 Correct 4 ms 18780 KB Output is correct
12 Correct 3 ms 18776 KB Output is correct
13 Correct 3 ms 18924 KB Output is correct
14 Correct 3 ms 18780 KB Output is correct
15 Correct 3 ms 18780 KB Output is correct
16 Correct 3 ms 18780 KB Output is correct
17 Correct 3 ms 18776 KB Output is correct
18 Correct 3 ms 18968 KB Output is correct
19 Correct 4 ms 18864 KB Output is correct
20 Correct 3 ms 18780 KB Output is correct
21 Correct 3 ms 18780 KB Output is correct
22 Correct 4 ms 18780 KB Output is correct
23 Correct 3 ms 18780 KB Output is correct
24 Correct 3 ms 18892 KB Output is correct
25 Correct 3 ms 18780 KB Output is correct
26 Correct 3 ms 18948 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 18780 KB Output is correct
30 Correct 10 ms 19036 KB Output is correct
31 Correct 9 ms 19164 KB Output is correct
32 Correct 17 ms 19228 KB Output is correct
33 Correct 12 ms 19160 KB Output is correct
34 Correct 12 ms 19036 KB Output is correct
35 Correct 5 ms 19032 KB Output is correct
36 Correct 5 ms 19036 KB Output is correct
37 Correct 5 ms 19036 KB Output is correct
38 Correct 16 ms 19308 KB Output is correct
39 Correct 11 ms 19308 KB Output is correct
40 Correct 11 ms 19292 KB Output is correct
41 Correct 5 ms 19272 KB Output is correct
42 Correct 5 ms 19292 KB Output is correct
43 Correct 5 ms 19016 KB Output is correct
44 Correct 16 ms 19036 KB Output is correct
45 Correct 11 ms 19188 KB Output is correct
46 Correct 12 ms 19292 KB Output is correct
47 Correct 5 ms 19036 KB Output is correct
48 Correct 6 ms 19036 KB Output is correct
49 Correct 5 ms 19032 KB Output is correct
50 Correct 13 ms 19032 KB Output is correct
51 Correct 15 ms 19244 KB Output is correct
52 Correct 11 ms 19036 KB Output is correct
53 Correct 14 ms 19036 KB Output is correct
54 Correct 11 ms 19036 KB Output is correct
55 Correct 12 ms 19240 KB Output is correct
56 Correct 5 ms 10768 KB Output is correct
57 Correct 5 ms 19188 KB Output is correct
58 Correct 16 ms 19184 KB Output is correct

Subtask #3
7.0 / 7.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 12636 KB Output is correct
2 Correct 2 ms 10584 KB Output is correct
3 Correct 4 ms 10588 KB Output is correct
4 Correct 2257 ms 34364 KB Output is correct
5 Correct 2244 ms 38312 KB Output is correct
6 Correct 3011 ms 40296 KB Output is correct
7 Correct 4194 ms 42504 KB Output is correct
8 Correct 3701 ms 42508 KB Output is correct
9 Correct 4042 ms 42492 KB Output is correct
10 Correct 3873 ms 42500 KB Output is correct
11 Correct 4034 ms 42496 KB Output is correct
12 Correct 280 ms 39592 KB Output is correct
13 Correct 278 ms 39400 KB Output is correct
14 Correct 273 ms 39480 KB Output is correct
15 Correct 74 ms 41184 KB Output is correct
16 Correct 3500 ms 41984 KB Output is correct
17 Correct 588 ms 13252 KB Output is correct

Subtask #4
0 / 18.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 12632 KB Output is correct
2 Correct 1461 ms 28996 KB Output is correct
3 Correct 2155 ms 30508 KB Output is correct
4 Correct 2094 ms 31092 KB Output is correct
5 Correct 58 ms 32452 KB Output is correct
6 Correct 82 ms 33704 KB Output is correct
7 Correct 161 ms 34724 KB Output is correct
8 Correct 436 ms 34796 KB Output is correct
9 Correct 1325 ms 34880 KB Output is correct
10 Correct 4091 ms 34984 KB Output is correct
11 Correct 4302 ms 34924 KB Output is correct
12 Correct 4286 ms 34948 KB Output is correct
13 Correct 4405 ms 35484 KB Output is correct
14 Correct 4451 ms 35368 KB Output is correct
15 Execution timed out 5048 ms 36008 KB Time limit exceeded
16 Halted 0 ms 0 KB -

Subtask #5
0 / 24.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 12636 KB Output is correct
2 Correct 3 ms 10588 KB Output is correct
3 Correct 5 ms 10736 KB Output is correct
4 Correct 2512 ms 31332 KB Output is correct
5 Correct 2387 ms 31448 KB Output is correct
6 Correct 3655 ms 34604 KB Output is correct
7 Correct 4729 ms 36240 KB Output is correct
8 Execution timed out 5005 ms 35720 KB Time limit exceeded
9 Halted 0 ms 0 KB -

Subtask #6
0 / 41.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 12636 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 16872 KB Output is correct
7 Correct 3 ms 16732 KB Output is correct
8 Correct 3 ms 18780 KB Output is correct
9 Correct 4 ms 18776 KB Output is correct
10 Correct 4 ms 18920 KB Output is correct
11 Correct 4 ms 18780 KB Output is correct
12 Correct 3 ms 18776 KB Output is correct
13 Correct 3 ms 18924 KB Output is correct
14 Correct 3 ms 18780 KB Output is correct
15 Correct 3 ms 18780 KB Output is correct
16 Correct 3 ms 18780 KB Output is correct
17 Correct 3 ms 18776 KB Output is correct
18 Correct 3 ms 18968 KB Output is correct
19 Correct 4 ms 18864 KB Output is correct
20 Correct 3 ms 18780 KB Output is correct
21 Correct 3 ms 18780 KB Output is correct
22 Correct 4 ms 18780 KB Output is correct
23 Correct 3 ms 18780 KB Output is correct
24 Correct 3 ms 18892 KB Output is correct
25 Correct 3 ms 18780 KB Output is correct
26 Correct 3 ms 18948 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 18780 KB Output is correct
30 Correct 10 ms 19036 KB Output is correct
31 Correct 9 ms 19164 KB Output is correct
32 Correct 17 ms 19228 KB Output is correct
33 Correct 12 ms 19160 KB Output is correct
34 Correct 12 ms 19036 KB Output is correct
35 Correct 5 ms 19032 KB Output is correct
36 Correct 5 ms 19036 KB Output is correct
37 Correct 5 ms 19036 KB Output is correct
38 Correct 16 ms 19308 KB Output is correct
39 Correct 11 ms 19308 KB Output is correct
40 Correct 11 ms 19292 KB Output is correct
41 Correct 5 ms 19272 KB Output is correct
42 Correct 5 ms 19292 KB Output is correct
43 Correct 5 ms 19016 KB Output is correct
44 Correct 16 ms 19036 KB Output is correct
45 Correct 11 ms 19188 KB Output is correct
46 Correct 12 ms 19292 KB Output is correct
47 Correct 5 ms 19036 KB Output is correct
48 Correct 6 ms 19036 KB Output is correct
49 Correct 5 ms 19032 KB Output is correct
50 Correct 13 ms 19032 KB Output is correct
51 Correct 15 ms 19244 KB Output is correct
52 Correct 11 ms 19036 KB Output is correct
53 Correct 14 ms 19036 KB Output is correct
54 Correct 11 ms 19036 KB Output is correct
55 Correct 12 ms 19240 KB Output is correct
56 Correct 5 ms 10768 KB Output is correct
57 Correct 5 ms 19188 KB Output is correct
58 Correct 16 ms 19184 KB Output is correct
59 Correct 2 ms 12636 KB Output is correct
60 Correct 2 ms 10584 KB Output is correct
61 Correct 4 ms 10588 KB Output is correct
62 Correct 2257 ms 34364 KB Output is correct
63 Correct 2244 ms 38312 KB Output is correct
64 Correct 3011 ms 40296 KB Output is correct
65 Correct 4194 ms 42504 KB Output is correct
66 Correct 3701 ms 42508 KB Output is correct
67 Correct 4042 ms 42492 KB Output is correct
68 Correct 3873 ms 42500 KB Output is correct
69 Correct 4034 ms 42496 KB Output is correct
70 Correct 280 ms 39592 KB Output is correct
71 Correct 278 ms 39400 KB Output is correct
72 Correct 273 ms 39480 KB Output is correct
73 Correct 74 ms 41184 KB Output is correct
74 Correct 3500 ms 41984 KB Output is correct
75 Correct 588 ms 13252 KB Output is correct
76 Correct 2 ms 12632 KB Output is correct
77 Correct 1461 ms 28996 KB Output is correct
78 Correct 2155 ms 30508 KB Output is correct
79 Correct 2094 ms 31092 KB Output is correct
80 Correct 58 ms 32452 KB Output is correct
81 Correct 82 ms 33704 KB Output is correct
82 Correct 161 ms 34724 KB Output is correct
83 Correct 436 ms 34796 KB Output is correct
84 Correct 1325 ms 34880 KB Output is correct
85 Correct 4091 ms 34984 KB Output is correct
86 Correct 4302 ms 34924 KB Output is correct
87 Correct 4286 ms 34948 KB Output is correct
88 Correct 4405 ms 35484 KB Output is correct
89 Correct 4451 ms 35368 KB Output is correct
90 Execution timed out 5048 ms 36008 KB Time limit exceeded
91 Halted 0 ms 0 KB -