oj.uz

Submission #852632

# Submission time Handle Problem Language Result Execution time Memory
852632 2023-09-22T09:10:34 Z boris_mihov Closing Time (IOI23_closing) C++17
29 / 100
 1000 ms 198740 KB 
#include "closing.h"
#include <algorithm>
#include <iostream>
#include <numeric>
#include <cassert>
#include <vector>
#include <queue>

typedef long long llong;
const int MAXN = 3000 + 10;
const llong INF = 8e18;
const int INTINF = 2e9;

int n;
int x;
int y;
llong k;
int sz[MAXN];
int par[MAXN];
bool isOnPath[MAXN];
std::vector <int> path;
std::vector <int> pathSizes;
std::vector <std::pair <int,int>> g[MAXN];
std::vector <int> suffixSizes[MAXN];
llong dpR[MAXN][2 * MAXN][2][2]; // root
llong dpC[MAXN][2 * MAXN][2][2]; // children, knapsack
llong dpS[MAXN][2 * MAXN][2][2]; // stick
bool blR[MAXN][2 * MAXN][2][2];
bool blC[MAXN][2 * MAXN][2][2];
bool blS[MAXN][2 * MAXN][2][2];
llong distX[MAXN];
llong distY[MAXN];

void reset()
{
    path.clear();
    pathSizes.clear();
    for (int i = 0 ; i < n ; ++i)
    {
        g[i].clear();
        suffixSizes[i].clear();
        isOnPath[i] = false;
        distX[i] = distY[i] = 0;
        for (int j = 0 ; j <= 2 * n ; ++j)
        {
            for (int flagX = 0 ; flagX < 2 ; ++flagX)
            {
                for (int flagY = 0 ; flagY < 2 ; ++flagY)
                {
                    dpR[i][j][flagX][flagY] = 0;
                    dpC[i][j][flagX][flagY] = 0;
                    dpS[i][j][flagX][flagY] = 0;
                    blR[i][j][flagX][flagY] = false;
                    blC[i][j][flagX][flagY] = false;
                    blS[i][j][flagX][flagY] = false;
                }
            }
        }
    }
}

void dfs(int node, int par, llong to[], llong dist)
{
    to[node] = dist;
    for (const auto &[u, d] : g[node])
    {
        if (u == par)
        {
            continue;
        }

        dfs(u, node, to, dist + d);
    }
}

bool dfsPath(int node, int par)
{
    if (node == y)
    {
        path.push_back(node);
        return true;
    }

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

        if (dfsPath(u, node))
        {
            path.push_back(node);
            return true;
        }
    }

    return false;
}

void dfsSize(int node, int p)
{
    sz[node] = 1;
    par[node] = p;
    for (const auto &[u, d] : g[node])
    {
        if (p == u)
        {
            continue;
        }

        dfsSize(u, node);
        if (!isOnPath[u]) sz[node] += sz[u];
    }
}

llong fRoot(int, int, int, int);
llong fChildren(int, int, int, int, int);
llong fStick(int, int, int, int);

llong fRoot(int node, int choose, int flagX, int flagY)
{
    if (choose == 0)
    {
        return 0;
    }

    if (!flagX && !flagY)
    {
        return k + 1;
    }

    if (blR[node][choose][flagX][flagY])
    {
        return dpR[node][choose][flagX][flagY];
    }

    blR[node][choose][flagX][flagY] = true;
    dpR[node][choose][flagX][flagY] = fChildren(node, 0, choose, flagX, flagY);
    dpR[node][choose][flagX][flagY] = std::min(dpR[node][choose][flagX][flagY], k + 1);
    return dpR[node][choose][flagX][flagY];
}

llong fChildren(int node, int idx, int choose, int flagX, int flagY)
{
    if (idx == g[node].size())
    {
        if (choose == 0) return 0;
        return k + 1;
    }

    int current = g[node][idx].first;
    if (isOnPath[current] || current == par[node])
    {
        return fChildren(node, idx + 1, choose, flagX, flagY);
    }

    if (blC[current][choose][flagX][flagY])
    {
        return dpC[current][choose][flagX][flagY];
    }
    
    blC[current][choose][flagX][flagY] = true;
    dpC[current][choose][flagX][flagY] = k + 1;
    
    for (int currX = 0 ; currX <= flagX ; ++currX)
    {
        for (int currY = 0 ; currY <= flagY ; ++currY)
        {
            for (int subtreeChoose = std::max(choose - 2 * suffixSizes[node][idx + 1], currX + currY) ; subtreeChoose <= std::min(2 * sz[g[node][idx].first], choose) ; ++subtreeChoose)
            {
                dpC[current][choose][flagX][flagY] = std::min(dpC[current][choose][flagX][flagY], fChildren(node, idx + 1, choose - subtreeChoose, flagX, flagY) + std::max((currX == 0 ? 0 : distX[current]), (currY == 0 ? 0 : distY[current])) + fRoot(current, subtreeChoose - currX - currY, currX, currY));
            }
        }
    }

    return dpC[current][choose][flagX][flagY];
}

llong fStick(int idx, int choose, int flagX, int flagY)
{
    if (idx == path.size())
    {
        if (choose == 0) return 0;
        return k + 1;
    }

    if (blS[idx][choose][flagX][flagY])
    {
        return dpS[idx][choose][flagX][flagY];
    }

    blS[idx][choose][flagX][flagY] = true;
    dpS[idx][choose][flagX][flagY] = k + 1;
    for (int currX = 0 ; currX <= flagX ; ++currX)
    {
        for (int currY = flagY ; currY <= 1 ; ++currY)
        {
            for (int subtreeChoose = std::max(choose - 2 * pathSizes[idx + 1], currX + currY) ; subtreeChoose <= std::min(2 * sz[path[idx]], choose) ; ++subtreeChoose)
            {
                int val = dpS[idx][choose][flagX][flagY];
                dpS[idx][choose][flagX][flagY] = std::min(dpS[idx][choose][flagX][flagY], fStick(idx + 1, choose - subtreeChoose, currX, currY) + std::max((currX == 0 ? 0 : distX[path[idx]]), (currY == 0 ? 0 : distY[path[idx]])) + fRoot(path[idx], subtreeChoose - currX - currY, currX, currY));
            }
        }
    }

    return dpS[idx][choose][flagX][flagY];
}

int max_score(int N, int X, int Y, long long K, std::vector <int> U, std::vector <int> V, std::vector <int> W)
{
    reset();
    n = N;
    x = X;
    y = Y;
    k = K;

    for (int i = 0 ; i < n - 1 ; ++i)
    {
        g[U[i]].emplace_back(V[i], W[i]);
        g[V[i]].emplace_back(U[i], W[i]);
    }    

    dfs(x, -1, distX, 0);
    dfs(y, -1, distY, 0);
    dfsPath(x, -1);
    dfsSize(x, -1);

    for (int i = 0 ; i < n ; ++i)
    {
        suffixSizes[i].resize(g[i].size() + 1, 0);
        for (int j = g[i].size() - 1 ; j >= 0 ; --j)
        {
            int add = 0;
            suffixSizes[i][j] = suffixSizes[i][j + 1];
            if (!isOnPath[g[i][j].first] && g[i][j].first != par[i])
            {
                add = sz[g[i][j].first];
            }

            suffixSizes[i][j] += add;
        }
    }

    std::reverse(path.begin(), path.end());
    for (const int &i : path)
    {
        isOnPath[i] = true;
    }

    pathSizes.resize(path.size() + 1, 0);
    for (int i = path.size() - 1 ; i >= 0 ; --i)
    {
        pathSizes[i] = pathSizes[i + 1] + sz[path[i]];
    }
    
    for (int i = 2 * n ; i >= 1 ; --i)
    {
        if (fStick(0, i, 1, 0) <= k)
        {
            return i;
        }
    }

    return 0;
}

Compilation message

closing.cpp: In function 'llong fChildren(int, int, int, int, int)':
closing.cpp:146:13: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  146 |     if (idx == g[node].size())
      |         ~~~~^~~~~~~~~~~~~~~~~
closing.cpp: In function 'llong fStick(int, int, int, int)':
closing.cpp:182:13: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  182 |     if (idx == path.size())
      |         ~~~~^~~~~~~~~~~~~~
closing.cpp:201:21: warning: unused variable 'val' [-Wunused-variable]
  201 |                 int val = dpS[idx][choose][flagX][flagY];
      |                     ^~~

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12888 KB Output is correct

Subtask #1
0.0 / 8.0

# Verdict Execution time Memory Grader output
1 Runtime error 80 ms 5240 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6744 KB Output is correct
2 Correct 2 ms 13088 KB Output is correct
3 Correct 2 ms 12888 KB Output is correct
4 Correct 2 ms 12892 KB Output is correct
5 Correct 3 ms 16984 KB Output is correct
6 Correct 4 ms 25436 KB Output is correct
7 Correct 4 ms 23384 KB Output is correct
8 Correct 10 ms 25436 KB Output is correct
9 Correct 10 ms 23384 KB Output is correct
10 Correct 15 ms 25432 KB Output is correct
11 Correct 15 ms 25436 KB Output is correct

Subtask #3
0.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6744 KB Output is correct
2 Correct 2 ms 13088 KB Output is correct
3 Correct 2 ms 12888 KB Output is correct
4 Correct 2 ms 12892 KB Output is correct
5 Correct 3 ms 16984 KB Output is correct
6 Correct 4 ms 25436 KB Output is correct
7 Correct 4 ms 23384 KB Output is correct
8 Correct 10 ms 25436 KB Output is correct
9 Correct 10 ms 23384 KB Output is correct
10 Correct 15 ms 25432 KB Output is correct
11 Correct 15 ms 25436 KB Output is correct
12 Correct 7 ms 44376 KB Output is correct
13 Correct 9 ms 44376 KB Output is correct
14 Correct 53 ms 42440 KB Output is correct
15 Correct 33 ms 42448 KB Output is correct
16 Correct 99 ms 42320 KB Output is correct
17 Correct 95 ms 42556 KB Output is correct
18 Correct 10 ms 17244 KB Output is correct
19 Correct 76 ms 198740 KB Output is correct
20 Correct 81 ms 184392 KB Output is correct
21 Execution timed out 1047 ms 127076 KB Time limit exceeded
22 Halted 0 ms 0 KB -

Subtask #4
0.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6744 KB Output is correct
2 Correct 2 ms 13088 KB Output is correct
3 Correct 2 ms 12888 KB Output is correct
4 Correct 2 ms 12892 KB Output is correct
5 Correct 3 ms 16984 KB Output is correct
6 Correct 4 ms 25436 KB Output is correct
7 Correct 4 ms 23384 KB Output is correct
8 Correct 10 ms 25436 KB Output is correct
9 Correct 10 ms 23384 KB Output is correct
10 Correct 15 ms 25432 KB Output is correct
11 Correct 15 ms 25436 KB Output is correct
12 Correct 7 ms 44376 KB Output is correct
13 Correct 9 ms 44376 KB Output is correct
14 Correct 53 ms 42440 KB Output is correct
15 Correct 33 ms 42448 KB Output is correct
16 Correct 99 ms 42320 KB Output is correct
17 Correct 95 ms 42556 KB Output is correct
18 Correct 10 ms 17244 KB Output is correct
19 Correct 76 ms 198740 KB Output is correct
20 Correct 81 ms 184392 KB Output is correct
21 Execution timed out 1047 ms 127076 KB Time limit exceeded
22 Halted 0 ms 0 KB -

Subtask #5
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12888 KB Output is correct
2 Correct 1 ms 6744 KB Output is correct
3 Correct 2 ms 13088 KB Output is correct
4 Correct 2 ms 12888 KB Output is correct
5 Correct 2 ms 12892 KB Output is correct
6 Correct 3 ms 16984 KB Output is correct
7 Correct 1 ms 6744 KB Output is correct
8 Correct 1 ms 6748 KB Output is correct
9 Correct 1 ms 8792 KB Output is correct
10 Correct 3 ms 14936 KB Output is correct
11 Correct 2 ms 12888 KB Output is correct
12 Correct 2 ms 10840 KB Output is correct
13 Correct 2 ms 12888 KB Output is correct
14 Correct 2 ms 12888 KB Output is correct
15 Correct 2 ms 14936 KB Output is correct
16 Correct 2 ms 12888 KB Output is correct
17 Correct 2 ms 14936 KB Output is correct
18 Correct 2 ms 14936 KB Output is correct
19 Correct 2 ms 14936 KB Output is correct
20 Correct 3 ms 14936 KB Output is correct
21 Correct 3 ms 14936 KB Output is correct
22 Correct 2 ms 12888 KB Output is correct
23 Correct 2 ms 12888 KB Output is correct
24 Correct 2 ms 12888 KB Output is correct

Subtask #6
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12888 KB Output is correct
2 Correct 1 ms 6744 KB Output is correct
3 Correct 2 ms 13088 KB Output is correct
4 Correct 2 ms 12888 KB Output is correct
5 Correct 2 ms 12892 KB Output is correct
6 Correct 3 ms 16984 KB Output is correct
7 Correct 4 ms 25436 KB Output is correct
8 Correct 4 ms 23384 KB Output is correct
9 Correct 10 ms 25436 KB Output is correct
10 Correct 10 ms 23384 KB Output is correct
11 Correct 15 ms 25432 KB Output is correct
12 Correct 15 ms 25436 KB Output is correct
13 Correct 7 ms 44376 KB Output is correct
14 Correct 9 ms 44376 KB Output is correct
15 Correct 53 ms 42440 KB Output is correct
16 Correct 33 ms 42448 KB Output is correct
17 Correct 99 ms 42320 KB Output is correct
18 Correct 95 ms 42556 KB Output is correct
19 Correct 1 ms 6744 KB Output is correct
20 Correct 1 ms 6748 KB Output is correct
21 Correct 1 ms 8792 KB Output is correct
22 Correct 3 ms 14936 KB Output is correct
23 Correct 2 ms 12888 KB Output is correct
24 Correct 2 ms 10840 KB Output is correct
25 Correct 2 ms 12888 KB Output is correct
26 Correct 2 ms 12888 KB Output is correct
27 Correct 2 ms 14936 KB Output is correct
28 Correct 2 ms 12888 KB Output is correct
29 Correct 2 ms 14936 KB Output is correct
30 Correct 2 ms 14936 KB Output is correct
31 Correct 2 ms 14936 KB Output is correct
32 Correct 3 ms 14936 KB Output is correct
33 Correct 3 ms 14936 KB Output is correct
34 Correct 2 ms 12888 KB Output is correct
35 Correct 2 ms 12888 KB Output is correct
36 Correct 2 ms 12888 KB Output is correct
37 Correct 3 ms 19032 KB Output is correct
38 Correct 9 ms 32092 KB Output is correct
39 Correct 6 ms 44376 KB Output is correct
40 Correct 16 ms 44376 KB Output is correct
41 Correct 7 ms 44376 KB Output is correct
42 Correct 11 ms 44376 KB Output is correct
43 Correct 89 ms 44752 KB Output is correct
44 Correct 22 ms 44376 KB Output is correct
45 Correct 63 ms 52568 KB Output is correct
46 Correct 25 ms 46424 KB Output is correct
47 Correct 15 ms 46588 KB Output is correct
48 Correct 6 ms 38232 KB Output is correct
49 Correct 6 ms 40024 KB Output is correct
50 Correct 3 ms 21336 KB Output is correct

Subtask #7
0.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12888 KB Output is correct
2 Correct 1 ms 6744 KB Output is correct
3 Correct 2 ms 13088 KB Output is correct
4 Correct 2 ms 12888 KB Output is correct
5 Correct 2 ms 12892 KB Output is correct
6 Correct 3 ms 16984 KB Output is correct
7 Correct 4 ms 25436 KB Output is correct
8 Correct 4 ms 23384 KB Output is correct
9 Correct 10 ms 25436 KB Output is correct
10 Correct 10 ms 23384 KB Output is correct
11 Correct 15 ms 25432 KB Output is correct
12 Correct 15 ms 25436 KB Output is correct
13 Correct 7 ms 44376 KB Output is correct
14 Correct 9 ms 44376 KB Output is correct
15 Correct 53 ms 42440 KB Output is correct
16 Correct 33 ms 42448 KB Output is correct
17 Correct 99 ms 42320 KB Output is correct
18 Correct 95 ms 42556 KB Output is correct
19 Correct 10 ms 17244 KB Output is correct
20 Correct 76 ms 198740 KB Output is correct
21 Correct 81 ms 184392 KB Output is correct
22 Execution timed out 1047 ms 127076 KB Time limit exceeded
23 Halted 0 ms 0 KB -

Subtask #8
0.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12888 KB Output is correct
2 Correct 1 ms 6744 KB Output is correct
3 Correct 2 ms 13088 KB Output is correct
4 Correct 2 ms 12888 KB Output is correct
5 Correct 2 ms 12892 KB Output is correct
6 Correct 3 ms 16984 KB Output is correct
7 Correct 4 ms 25436 KB Output is correct
8 Correct 4 ms 23384 KB Output is correct
9 Correct 10 ms 25436 KB Output is correct
10 Correct 10 ms 23384 KB Output is correct
11 Correct 15 ms 25432 KB Output is correct
12 Correct 15 ms 25436 KB Output is correct
13 Correct 7 ms 44376 KB Output is correct
14 Correct 9 ms 44376 KB Output is correct
15 Correct 53 ms 42440 KB Output is correct
16 Correct 33 ms 42448 KB Output is correct
17 Correct 99 ms 42320 KB Output is correct
18 Correct 95 ms 42556 KB Output is correct
19 Correct 10 ms 17244 KB Output is correct
20 Correct 76 ms 198740 KB Output is correct
21 Correct 81 ms 184392 KB Output is correct
22 Execution timed out 1047 ms 127076 KB Time limit exceeded
23 Halted 0 ms 0 KB -

Subtask #9
0.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12888 KB Output is correct
2 Correct 1 ms 6744 KB Output is correct
3 Correct 2 ms 13088 KB Output is correct
4 Correct 2 ms 12888 KB Output is correct
5 Correct 2 ms 12892 KB Output is correct
6 Correct 3 ms 16984 KB Output is correct
7 Correct 4 ms 25436 KB Output is correct
8 Correct 4 ms 23384 KB Output is correct
9 Correct 10 ms 25436 KB Output is correct
10 Correct 10 ms 23384 KB Output is correct
11 Correct 15 ms 25432 KB Output is correct
12 Correct 15 ms 25436 KB Output is correct
13 Correct 7 ms 44376 KB Output is correct
14 Correct 9 ms 44376 KB Output is correct
15 Correct 53 ms 42440 KB Output is correct
16 Correct 33 ms 42448 KB Output is correct
17 Correct 99 ms 42320 KB Output is correct
18 Correct 95 ms 42556 KB Output is correct
19 Correct 10 ms 17244 KB Output is correct
20 Correct 76 ms 198740 KB Output is correct
21 Correct 81 ms 184392 KB Output is correct
22 Execution timed out 1047 ms 127076 KB Time limit exceeded
23 Halted 0 ms 0 KB -