oj.uz

Submission #852631

# Submission time Handle Problem Language Result Execution time Memory
852631 2023-09-22T09:07:54 Z boris_mihov Closing Time (IOI23_closing) C++17
9 / 100
 1000 ms 198856 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 <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();
    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 - 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 = 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;
    }
    
    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:144:13: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  144 |     if (idx == g[node].size())
      |         ~~~~^~~~~~~~~~~~~~~~~
closing.cpp: In function 'llong fStick(int, int, int, int)':
closing.cpp:180:13: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  180 |     if (idx == path.size())
      |         ~~~~^~~~~~~~~~~~~~
closing.cpp:199:21: warning: unused variable 'val' [-Wunused-variable]
  199 |                 int val = dpS[idx][choose][flagX][flagY];
      |                     ^~~

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12892 KB Output is correct

Subtask #1
0.0 / 8.0

# Verdict Execution time Memory Grader output
1 Runtime error 77 ms 5200 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 12892 KB Output is correct
3 Correct 2 ms 12892 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 23388 KB Output is correct
8 Correct 10 ms 25436 KB Output is correct
9 Correct 9 ms 23388 KB Output is correct
10 Correct 15 ms 25432 KB Output is correct
11 Correct 17 ms 25432 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 12892 KB Output is correct
3 Correct 2 ms 12892 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 23388 KB Output is correct
8 Correct 10 ms 25436 KB Output is correct
9 Correct 9 ms 23388 KB Output is correct
10 Correct 15 ms 25432 KB Output is correct
11 Correct 17 ms 25432 KB Output is correct
12 Correct 8 ms 44380 KB Output is correct
13 Correct 11 ms 44380 KB Output is correct
14 Correct 56 ms 42440 KB Output is correct
15 Correct 35 ms 42328 KB Output is correct
16 Correct 104 ms 42436 KB Output is correct
17 Correct 101 ms 42560 KB Output is correct
18 Correct 11 ms 17244 KB Output is correct
19 Correct 103 ms 198856 KB Output is correct
20 Correct 104 ms 184392 KB Output is correct
21 Execution timed out 1058 ms 126976 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 12892 KB Output is correct
3 Correct 2 ms 12892 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 23388 KB Output is correct
8 Correct 10 ms 25436 KB Output is correct
9 Correct 9 ms 23388 KB Output is correct
10 Correct 15 ms 25432 KB Output is correct
11 Correct 17 ms 25432 KB Output is correct
12 Correct 8 ms 44380 KB Output is correct
13 Correct 11 ms 44380 KB Output is correct
14 Correct 56 ms 42440 KB Output is correct
15 Correct 35 ms 42328 KB Output is correct
16 Correct 104 ms 42436 KB Output is correct
17 Correct 101 ms 42560 KB Output is correct
18 Correct 11 ms 17244 KB Output is correct
19 Correct 103 ms 198856 KB Output is correct
20 Correct 104 ms 184392 KB Output is correct
21 Execution timed out 1058 ms 126976 KB Time limit exceeded
22 Halted 0 ms 0 KB -

Subtask #5
0.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12892 KB Output is correct
2 Correct 1 ms 6744 KB Output is correct
3 Correct 2 ms 12892 KB Output is correct
4 Correct 2 ms 12892 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 2 ms 14940 KB Output is correct
11 Incorrect 2 ms 12892 KB 1st lines differ - on the 1st token, expected: '28', found: '26'
12 Halted 0 ms 0 KB -

Subtask #6
0.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12892 KB Output is correct
2 Correct 1 ms 6744 KB Output is correct
3 Correct 2 ms 12892 KB Output is correct
4 Correct 2 ms 12892 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 23388 KB Output is correct
9 Correct 10 ms 25436 KB Output is correct
10 Correct 9 ms 23388 KB Output is correct
11 Correct 15 ms 25432 KB Output is correct
12 Correct 17 ms 25432 KB Output is correct
13 Correct 8 ms 44380 KB Output is correct
14 Correct 11 ms 44380 KB Output is correct
15 Correct 56 ms 42440 KB Output is correct
16 Correct 35 ms 42328 KB Output is correct
17 Correct 104 ms 42436 KB Output is correct
18 Correct 101 ms 42560 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 2 ms 14940 KB Output is correct
23 Incorrect 2 ms 12892 KB 1st lines differ - on the 1st token, expected: '28', found: '26'
24 Halted 0 ms 0 KB -

Subtask #7
0.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12892 KB Output is correct
2 Correct 1 ms 6744 KB Output is correct
3 Correct 2 ms 12892 KB Output is correct
4 Correct 2 ms 12892 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 23388 KB Output is correct
9 Correct 10 ms 25436 KB Output is correct
10 Correct 9 ms 23388 KB Output is correct
11 Correct 15 ms 25432 KB Output is correct
12 Correct 17 ms 25432 KB Output is correct
13 Correct 8 ms 44380 KB Output is correct
14 Correct 11 ms 44380 KB Output is correct
15 Correct 56 ms 42440 KB Output is correct
16 Correct 35 ms 42328 KB Output is correct
17 Correct 104 ms 42436 KB Output is correct
18 Correct 101 ms 42560 KB Output is correct
19 Correct 11 ms 17244 KB Output is correct
20 Correct 103 ms 198856 KB Output is correct
21 Correct 104 ms 184392 KB Output is correct
22 Execution timed out 1058 ms 126976 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 12892 KB Output is correct
2 Correct 1 ms 6744 KB Output is correct
3 Correct 2 ms 12892 KB Output is correct
4 Correct 2 ms 12892 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 23388 KB Output is correct
9 Correct 10 ms 25436 KB Output is correct
10 Correct 9 ms 23388 KB Output is correct
11 Correct 15 ms 25432 KB Output is correct
12 Correct 17 ms 25432 KB Output is correct
13 Correct 8 ms 44380 KB Output is correct
14 Correct 11 ms 44380 KB Output is correct
15 Correct 56 ms 42440 KB Output is correct
16 Correct 35 ms 42328 KB Output is correct
17 Correct 104 ms 42436 KB Output is correct
18 Correct 101 ms 42560 KB Output is correct
19 Correct 11 ms 17244 KB Output is correct
20 Correct 103 ms 198856 KB Output is correct
21 Correct 104 ms 184392 KB Output is correct
22 Execution timed out 1058 ms 126976 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 12892 KB Output is correct
2 Correct 1 ms 6744 KB Output is correct
3 Correct 2 ms 12892 KB Output is correct
4 Correct 2 ms 12892 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 23388 KB Output is correct
9 Correct 10 ms 25436 KB Output is correct
10 Correct 9 ms 23388 KB Output is correct
11 Correct 15 ms 25432 KB Output is correct
12 Correct 17 ms 25432 KB Output is correct
13 Correct 8 ms 44380 KB Output is correct
14 Correct 11 ms 44380 KB Output is correct
15 Correct 56 ms 42440 KB Output is correct
16 Correct 35 ms 42328 KB Output is correct
17 Correct 104 ms 42436 KB Output is correct
18 Correct 101 ms 42560 KB Output is correct
19 Correct 11 ms 17244 KB Output is correct
20 Correct 103 ms 198856 KB Output is correct
21 Correct 104 ms 184392 KB Output is correct
22 Execution timed out 1058 ms 126976 KB Time limit exceeded
23 Halted 0 ms 0 KB -