oj.uz

Submission #986493

# Submission time Handle Problem Language Result Execution time Memory
986493 2024-05-20T16:40:15 Z boris_mihov Escape Route 2 (JOI24_escape2) C++17
100 / 100
 245 ms 51024 KB 
#include <algorithm>
#include <iostream>
#include <numeric>
#include <cassert>
#include <vector>
#include <map>
#include <set>

typedef long long llong;
const int MAXN = 100000 + 10;
const int MAXQ = 300000 + 10;
const int BUCKET_SIZE = 317;
const llong INF = 1e18;

int n, q, t;
struct Flight
{
    int from;
    int to;
    int idx;
};

int cntFlights;
int inTime[MAXN];
llong answer[MAXQ];
llong answer2[MAXN];
std::vector <Flight> v[MAXN];
std::vector <int> minimumTo[MAXN];
std::vector <std::pair <int,int>> g[MAXN];
std::vector <std::pair <int,int>> queries[MAXN];
std::vector <std::pair <int,int>> byLevel[MAXN];
llong toRemove[MAXN];
int flightFrom[MAXN];
int flightTo[MAXN];
int parent[MAXN];
int parEdge[MAXN];
int parEdge2[MAXN];
int dep[MAXN];
llong dist[MAXN];

void buildTree(int node)
{       
    // std::cout << "build tree: " << node << ' ' << dep[node] << ' ' << dist[node] << '\n'; 
    for (const auto &[u, val] : g[node])                
    {                                                                                        
        dep[u] = dep[node] + 1;
        dist[u] = dist[node] + val;
        buildTree(u);
    }
}

void solveDFS(int node)
{
    // std::cout << "here: " << node << ' ' << dep
    toRemove[dep[node]] = dist[node] - parEdge2[node];
    for (const auto &[level, idx] : byLevel[dep[node]])
    {
        answer[idx] = std::min(answer[idx], dist[node] - toRemove[level]);
    }

    for (const auto &[u, val] : g[node])
    {
        solveDFS(u);
    }
}

int specialDep;
llong solveDFS2(int node)
{
    if (dep[node] == specialDep)
    {
        answer2[dep[node]] = std::min(answer2[dep[node]], (llong)parEdge2[node]);
        return dist[node];
    }

    llong minAdd = INF;
    for (const auto &[u, val] : g[node])
    {
        minAdd = std::min(minAdd, solveDFS2(u));
    }

    answer2[dep[node]] = std::min(answer2[dep[node]], minAdd - dist[node] + parEdge2[node]);
    return minAdd;
}

void solve()                                                                                                                                                                                                    
{
    for (int i = 1 ; i < n ; ++i)
    {
        std::sort(v[i].begin(), v[i].end(), [&](auto x, auto y)
        {
            return x.from < y.from || (x.from == y.from && x.to < y.to);
        });
    
        for (int j = 0 ; j < v[i].size() ; ++j)
        {
            v[i][j].idx = ++cntFlights;
            flightFrom[v[i][j].idx] = v[i][j].from;
            flightTo[v[i][j].idx] = v[i][j].to;
        }
    }

    cntFlights++;
    for (const Flight &f : v[n - 1])
    {
        parent[f.idx] = cntFlights;
        parEdge2[f.idx] = f.to - f.from;
        g[cntFlights].push_back({f.idx, f.to - f.from});
    }  

    for (int i = n - 2 ; i >= 1 ; --i)
    {
        minimumTo[i + 1].resize(v[i + 1].size());
        minimumTo[i + 1].back() = v[i + 1][v[i + 1].size() - 1].idx;
        for (int j = (int)v[i + 1].size() - 2 ; j >= 0 ; --j)
        {
            minimumTo[i + 1][j] = minimumTo[i + 1][j + 1];
            if (v[i + 1][j].to < flightTo[minimumTo[i + 1][j]])
            {
                minimumTo[i + 1][j] = v[i + 1][j].idx;
            }
        }

        for (int j = 0 ; j < v[i].size() ; ++j)
        {
            int l = -1, r = v[i + 1].size(), mid;
            while (l < r - 1)
            {
                mid = (l + r) / 2;
                if (v[i + 1][mid].from < v[i][j].to) l = mid;
                else r = mid;
            }

            if (r != v[i + 1].size())
            {
                parent[v[i][j].idx] = minimumTo[i + 1][r];
                parEdge[v[i][j].idx] = flightFrom[minimumTo[i + 1][r]] - v[i][j].from;
                parEdge2[v[i][j].idx] = v[i][j].to - v[i][j].from;
                g[minimumTo[i + 1][r]].push_back({v[i][j].idx, flightFrom[minimumTo[i + 1][r]] - v[i][j].from});
            } else
            {
                parent[v[i][j].idx] = minimumTo[i + 1][0];
                parEdge[v[i][j].idx] = t - v[i][j].from + flightFrom[minimumTo[i + 1][0]];
                parEdge2[v[i][j].idx] = v[i][j].to - v[i][j].from;
                g[minimumTo[i + 1][0]].push_back({v[i][j].idx, t - v[i][j].from + flightFrom[minimumTo[i + 1][0]]});
            }
        }
    }

    for (int i = 1 ; i <= q ; ++i)
    {
        answer[i] = INF;
    }
    
    buildTree(cntFlights);

    for (int l = 1 ; l <= n ; ++l)
    {       
        if (v[l].size() < BUCKET_SIZE)
        {
            for (const auto &[r, idx] : queries[l])
            {
                // std::cout << "add query: " << n - l << ' ' << n - (r - 1) << ' ' << idx << '\n'; 
                byLevel[n - l].push_back({n - (r - 1), idx});
                /*answer[idx] = INF;
                for (const Flight &f : v[l])
                {
                    llong curr = 0;
                    int flightIdx = f.idx;
                    int times = r - l - 1;
                    for (int i = 0 ; i < times ; ++i)
                    {
                        curr += parEdge[flightIdx];
                        flightIdx = parent[flightIdx];
                    }

                    curr += parEdge2[flightIdx];
                    answer[idx] = std::min(answer[idx], curr);
                }*/
            }
        } else
        {
            std::fill(answer2, answer2 + n, INF);
            specialDep = n - l;
            solveDFS2(cntFlights);

            for (const auto &[r, idx] : queries[l])
            {
                answer[idx] = answer2[n - r + 1];
            }
        }
    }

    solveDFS(cntFlights);
}

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

void input()
{
    std::cin >> n >> t;
    for (int i = 1 ; i < n ; ++i)
    {
        int sz;
        std::cin >> sz;
        v[i].resize(sz);

        for (int j = 0 ; j < sz ; ++j)
        {
            std::cin >> v[i][j].from >> v[i][j].to;
        }
    }

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

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

Main.cpp: In function 'void solve()':
Main.cpp:95:28: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<Flight>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   95 |         for (int j = 0 ; j < v[i].size() ; ++j)
      |                          ~~^~~~~~~~~~~~~
Main.cpp:124:28: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<Flight>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  124 |         for (int j = 0 ; j < v[i].size() ; ++j)
      |                          ~~^~~~~~~~~~~~~
Main.cpp:134:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<Flight>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  134 |             if (r != v[i + 1].size())
      |                 ~~^~~~~~~~~~~~~~~~~~

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 12120 KB Output is correct
2 Correct 53 ms 23496 KB Output is correct
3 Correct 53 ms 23892 KB Output is correct
4 Correct 66 ms 26880 KB Output is correct
5 Correct 53 ms 22608 KB Output is correct
6 Correct 66 ms 26160 KB Output is correct
7 Correct 66 ms 26344 KB Output is correct
8 Correct 51 ms 23636 KB Output is correct
9 Correct 74 ms 27960 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 12120 KB Output is correct
2 Correct 53 ms 23496 KB Output is correct
3 Correct 53 ms 23892 KB Output is correct
4 Correct 66 ms 26880 KB Output is correct
5 Correct 53 ms 22608 KB Output is correct
6 Correct 66 ms 26160 KB Output is correct
7 Correct 66 ms 26344 KB Output is correct
8 Correct 51 ms 23636 KB Output is correct
9 Correct 74 ms 27960 KB Output is correct
10 Correct 5 ms 12120 KB Output is correct
11 Correct 64 ms 26708 KB Output is correct
12 Correct 65 ms 26964 KB Output is correct
13 Correct 70 ms 25864 KB Output is correct
14 Correct 62 ms 24912 KB Output is correct
15 Correct 62 ms 26960 KB Output is correct
16 Correct 55 ms 24232 KB Output is correct
17 Correct 70 ms 27176 KB Output is correct
18 Correct 64 ms 26512 KB Output is correct
19 Correct 66 ms 26708 KB Output is correct
20 Correct 62 ms 26116 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 12120 KB Output is correct
2 Correct 53 ms 23496 KB Output is correct
3 Correct 53 ms 23892 KB Output is correct
4 Correct 66 ms 26880 KB Output is correct
5 Correct 53 ms 22608 KB Output is correct
6 Correct 66 ms 26160 KB Output is correct
7 Correct 66 ms 26344 KB Output is correct
8 Correct 51 ms 23636 KB Output is correct
9 Correct 74 ms 27960 KB Output is correct
10 Correct 98 ms 40372 KB Output is correct
11 Correct 133 ms 49864 KB Output is correct
12 Correct 134 ms 47444 KB Output is correct
13 Correct 114 ms 45724 KB Output is correct
14 Correct 133 ms 50620 KB Output is correct
15 Correct 135 ms 48468 KB Output is correct
16 Correct 102 ms 39284 KB Output is correct
17 Correct 132 ms 51024 KB Output is correct
18 Correct 67 ms 36548 KB Output is correct
19 Correct 65 ms 35812 KB Output is correct
20 Correct 69 ms 36692 KB Output is correct
21 Correct 70 ms 36948 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 12120 KB Output is correct
2 Correct 53 ms 23496 KB Output is correct
3 Correct 53 ms 23892 KB Output is correct
4 Correct 66 ms 26880 KB Output is correct
5 Correct 53 ms 22608 KB Output is correct
6 Correct 66 ms 26160 KB Output is correct
7 Correct 66 ms 26344 KB Output is correct
8 Correct 51 ms 23636 KB Output is correct
9 Correct 74 ms 27960 KB Output is correct
10 Correct 5 ms 12120 KB Output is correct
11 Correct 64 ms 26708 KB Output is correct
12 Correct 65 ms 26964 KB Output is correct
13 Correct 70 ms 25864 KB Output is correct
14 Correct 62 ms 24912 KB Output is correct
15 Correct 62 ms 26960 KB Output is correct
16 Correct 55 ms 24232 KB Output is correct
17 Correct 70 ms 27176 KB Output is correct
18 Correct 64 ms 26512 KB Output is correct
19 Correct 66 ms 26708 KB Output is correct
20 Correct 62 ms 26116 KB Output is correct
21 Correct 98 ms 40372 KB Output is correct
22 Correct 133 ms 49864 KB Output is correct
23 Correct 134 ms 47444 KB Output is correct
24 Correct 114 ms 45724 KB Output is correct
25 Correct 133 ms 50620 KB Output is correct
26 Correct 135 ms 48468 KB Output is correct
27 Correct 102 ms 39284 KB Output is correct
28 Correct 132 ms 51024 KB Output is correct
29 Correct 67 ms 36548 KB Output is correct
30 Correct 65 ms 35812 KB Output is correct
31 Correct 69 ms 36692 KB Output is correct
32 Correct 70 ms 36948 KB Output is correct
33 Correct 114 ms 40272 KB Output is correct
34 Correct 119 ms 39272 KB Output is correct
35 Correct 112 ms 34840 KB Output is correct
36 Correct 123 ms 34152 KB Output is correct
37 Correct 109 ms 34956 KB Output is correct
38 Correct 102 ms 37096 KB Output is correct
39 Correct 119 ms 42068 KB Output is correct
40 Correct 98 ms 35148 KB Output is correct
41 Correct 106 ms 37204 KB Output is correct
42 Correct 133 ms 43236 KB Output is correct
43 Correct 103 ms 35852 KB Output is correct
44 Correct 116 ms 37716 KB Output is correct
45 Correct 63 ms 29524 KB Output is correct
46 Correct 57 ms 25428 KB Output is correct

Subtask #5
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 12124 KB Output is correct
2 Correct 5 ms 12124 KB Output is correct
3 Correct 101 ms 23408 KB Output is correct
4 Correct 110 ms 23632 KB Output is correct
5 Correct 109 ms 22864 KB Output is correct
6 Correct 97 ms 23380 KB Output is correct
7 Correct 96 ms 24712 KB Output is correct
8 Correct 87 ms 23896 KB Output is correct
9 Correct 73 ms 21960 KB Output is correct
10 Correct 46 ms 20308 KB Output is correct
11 Correct 71 ms 36380 KB Output is correct
12 Correct 70 ms 30968 KB Output is correct
13 Correct 58 ms 26092 KB Output is correct
14 Correct 53 ms 26220 KB Output is correct
15 Correct 56 ms 26612 KB Output is correct
16 Correct 51 ms 27356 KB Output is correct
17 Correct 64 ms 26704 KB Output is correct
18 Correct 52 ms 22224 KB Output is correct
19 Correct 134 ms 22096 KB Output is correct
20 Correct 75 ms 31640 KB Output is correct
21 Correct 76 ms 30160 KB Output is correct
22 Correct 82 ms 26708 KB Output is correct
23 Correct 81 ms 27988 KB Output is correct
24 Correct 63 ms 25540 KB Output is correct
25 Correct 53 ms 27064 KB Output is correct
26 Correct 63 ms 28328 KB Output is correct
27 Correct 66 ms 35920 KB Output is correct
28 Correct 70 ms 36784 KB Output is correct
29 Correct 69 ms 36732 KB Output is correct
30 Correct 54 ms 21880 KB Output is correct
31 Correct 50 ms 21964 KB Output is correct
32 Correct 60 ms 24248 KB Output is correct
33 Correct 54 ms 22932 KB Output is correct
34 Correct 93 ms 22096 KB Output is correct

Subtask #6
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 12120 KB Output is correct
2 Correct 53 ms 23496 KB Output is correct
3 Correct 53 ms 23892 KB Output is correct
4 Correct 66 ms 26880 KB Output is correct
5 Correct 53 ms 22608 KB Output is correct
6 Correct 66 ms 26160 KB Output is correct
7 Correct 66 ms 26344 KB Output is correct
8 Correct 51 ms 23636 KB Output is correct
9 Correct 74 ms 27960 KB Output is correct
10 Correct 5 ms 12120 KB Output is correct
11 Correct 64 ms 26708 KB Output is correct
12 Correct 65 ms 26964 KB Output is correct
13 Correct 70 ms 25864 KB Output is correct
14 Correct 62 ms 24912 KB Output is correct
15 Correct 62 ms 26960 KB Output is correct
16 Correct 55 ms 24232 KB Output is correct
17 Correct 70 ms 27176 KB Output is correct
18 Correct 64 ms 26512 KB Output is correct
19 Correct 66 ms 26708 KB Output is correct
20 Correct 62 ms 26116 KB Output is correct
21 Correct 98 ms 40372 KB Output is correct
22 Correct 133 ms 49864 KB Output is correct
23 Correct 134 ms 47444 KB Output is correct
24 Correct 114 ms 45724 KB Output is correct
25 Correct 133 ms 50620 KB Output is correct
26 Correct 135 ms 48468 KB Output is correct
27 Correct 102 ms 39284 KB Output is correct
28 Correct 132 ms 51024 KB Output is correct
29 Correct 67 ms 36548 KB Output is correct
30 Correct 65 ms 35812 KB Output is correct
31 Correct 69 ms 36692 KB Output is correct
32 Correct 70 ms 36948 KB Output is correct
33 Correct 114 ms 40272 KB Output is correct
34 Correct 119 ms 39272 KB Output is correct
35 Correct 112 ms 34840 KB Output is correct
36 Correct 123 ms 34152 KB Output is correct
37 Correct 109 ms 34956 KB Output is correct
38 Correct 102 ms 37096 KB Output is correct
39 Correct 119 ms 42068 KB Output is correct
40 Correct 98 ms 35148 KB Output is correct
41 Correct 106 ms 37204 KB Output is correct
42 Correct 133 ms 43236 KB Output is correct
43 Correct 103 ms 35852 KB Output is correct
44 Correct 116 ms 37716 KB Output is correct
45 Correct 63 ms 29524 KB Output is correct
46 Correct 57 ms 25428 KB Output is correct
47 Correct 5 ms 12124 KB Output is correct
48 Correct 5 ms 12124 KB Output is correct
49 Correct 101 ms 23408 KB Output is correct
50 Correct 110 ms 23632 KB Output is correct
51 Correct 109 ms 22864 KB Output is correct
52 Correct 97 ms 23380 KB Output is correct
53 Correct 96 ms 24712 KB Output is correct
54 Correct 87 ms 23896 KB Output is correct
55 Correct 73 ms 21960 KB Output is correct
56 Correct 46 ms 20308 KB Output is correct
57 Correct 71 ms 36380 KB Output is correct
58 Correct 70 ms 30968 KB Output is correct
59 Correct 58 ms 26092 KB Output is correct
60 Correct 53 ms 26220 KB Output is correct
61 Correct 56 ms 26612 KB Output is correct
62 Correct 51 ms 27356 KB Output is correct
63 Correct 64 ms 26704 KB Output is correct
64 Correct 52 ms 22224 KB Output is correct
65 Correct 134 ms 22096 KB Output is correct
66 Correct 75 ms 31640 KB Output is correct
67 Correct 76 ms 30160 KB Output is correct
68 Correct 82 ms 26708 KB Output is correct
69 Correct 81 ms 27988 KB Output is correct
70 Correct 63 ms 25540 KB Output is correct
71 Correct 53 ms 27064 KB Output is correct
72 Correct 63 ms 28328 KB Output is correct
73 Correct 66 ms 35920 KB Output is correct
74 Correct 70 ms 36784 KB Output is correct
75 Correct 69 ms 36732 KB Output is correct
76 Correct 54 ms 21880 KB Output is correct
77 Correct 50 ms 21964 KB Output is correct
78 Correct 60 ms 24248 KB Output is correct
79 Correct 54 ms 22932 KB Output is correct
80 Correct 93 ms 22096 KB Output is correct
81 Correct 245 ms 31832 KB Output is correct
82 Correct 212 ms 33080 KB Output is correct
83 Correct 214 ms 35668 KB Output is correct
84 Correct 216 ms 34568 KB Output is correct
85 Correct 210 ms 31652 KB Output is correct
86 Correct 201 ms 30456 KB Output is correct
87 Correct 136 ms 32256 KB Output is correct
88 Correct 182 ms 36624 KB Output is correct
89 Correct 170 ms 35868 KB Output is correct
90 Correct 161 ms 31316 KB Output is correct
91 Correct 84 ms 26404 KB Output is correct
92 Correct 115 ms 34080 KB Output is correct
93 Correct 107 ms 35408 KB Output is correct
94 Correct 106 ms 39184 KB Output is correct
95 Correct 116 ms 37068 KB Output is correct
96 Correct 115 ms 34964 KB Output is correct
97 Correct 220 ms 34132 KB Output is correct
98 Correct 190 ms 38976 KB Output is correct
99 Correct 157 ms 39504 KB Output is correct
100 Correct 205 ms 35404 KB Output is correct
101 Correct 189 ms 38044 KB Output is correct
102 Correct 105 ms 38268 KB Output is correct
103 Correct 92 ms 32948 KB Output is correct
104 Correct 116 ms 34116 KB Output is correct
105 Correct 96 ms 31200 KB Output is correct
106 Correct 109 ms 27288 KB Output is correct
107 Correct 126 ms 31088 KB Output is correct
108 Correct 109 ms 29452 KB Output is correct
109 Correct 193 ms 29824 KB Output is correct