oj.uz

Submission #852651

# Submission time Handle Problem Language Result Execution time Memory
852651 2023-09-22T10:10:33 Z boris_mihov Closing Time (IOI23_closing) C++17
9 / 100
 1000 ms 37896 KB 
#include "closing.h"
#include <algorithm>
#include <iostream>
#include <numeric>
#include <cassert>
#include <vector>
#include <queue>
 
typedef long long llong;
const int MAXN = 500 + 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];
int suffixSizes[MAXN];
std::vector <int> path;
std::vector <int> pathSizes;
std::vector <std::pair <int,int>> g[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)
    {
        sz[i] = 0;
        g[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 dpC[current][choose][flagX][flagY] = 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[(idx + 1 == g[node].size() ? 0 : g[node][idx + 1].first)], currX + currY) ; subtreeChoose <= std::min(2 * sz[g[node][idx].first], choose) ; ++subtreeChoose)
            {
                if (fChildren(node, idx + 1, choose - subtreeChoose, flagX, flagY) > k) continue;
                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 < 2 ; ++currY)
        {
            for (int subtreeChoose = std::max(choose - 2 * pathSizes[idx + 1], currX + currY) ; subtreeChoose <= std::min(2 * sz[path[idx]], choose) ; ++subtreeChoose)
            {
                if (fStick(idx + 1, choose - subtreeChoose, currX, currY) > k) continue;
                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);
    
    suffixSizes[n] = 0;
    for (int i = 0 ; i < n ; ++i)
    {
        for (int j = g[i].size() - 1 ; j >= 0 ; --j)
        {
            int add = 0;
            suffixSizes[g[i][j].first] = suffixSizes[(j + 1 == g[i].size() ? n : g[i][j + 1].first)];
            if (!isOnPath[g[i][j].first] && g[i][j].first != par[i])
            {
                add = sz[g[i][j].first];
            }
 
            suffixSizes[g[i][j].first] += 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:170:81: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  170 |             for (int subtreeChoose = std::max(choose - 2 * suffixSizes[(idx + 1 == g[node].size() ? 0 : g[node][idx + 1].first)], currX + currY) ; subtreeChoose <= std::min(2 * sz[g[node][idx].first], choose) ; ++subtreeChoose)
      |                                                                         ~~~~~~~~^~~~~~~~~~~~~~~~~
closing.cpp: In function 'llong fStick(int, int, int, int)':
closing.cpp:183:13: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  183 |     if (idx == path.size())
      |         ~~~~^~~~~~~~~~~~~~
closing.cpp: In function 'int max_score(int, int, int, long long int, std::vector<int>, std::vector<int>, std::vector<int>)':
closing.cpp:236:61: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  236 |             suffixSizes[g[i][j].first] = suffixSizes[(j + 1 == g[i].size() ? n : g[i][j + 1].first)];
      |                                                       ~~~~~~^~~~~~~~~~~~~~

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6488 KB Output is correct

Subtask #1
0.0 / 8.0

# Verdict Execution time Memory Grader output
1 Runtime error 47 ms 9980 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 6492 KB Output is correct
2 Correct 2 ms 10844 KB Output is correct
3 Correct 2 ms 10844 KB Output is correct
4 Correct 3 ms 13048 KB Output is correct
5 Correct 2 ms 12892 KB Output is correct
6 Correct 2 ms 11100 KB Output is correct
7 Correct 3 ms 11100 KB Output is correct
8 Correct 9 ms 13148 KB Output is correct
9 Correct 5 ms 13148 KB Output is correct
10 Correct 12 ms 13148 KB Output is correct
11 Correct 12 ms 13148 KB Output is correct

Subtask #3
0.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6492 KB Output is correct
2 Correct 2 ms 10844 KB Output is correct
3 Correct 2 ms 10844 KB Output is correct
4 Correct 3 ms 13048 KB Output is correct
5 Correct 2 ms 12892 KB Output is correct
6 Correct 2 ms 11100 KB Output is correct
7 Correct 3 ms 11100 KB Output is correct
8 Correct 9 ms 13148 KB Output is correct
9 Correct 5 ms 13148 KB Output is correct
10 Correct 12 ms 13148 KB Output is correct
11 Correct 12 ms 13148 KB Output is correct
12 Correct 18 ms 15448 KB Output is correct
13 Correct 6 ms 15452 KB Output is correct
14 Correct 50 ms 17436 KB Output is correct
15 Correct 21 ms 17244 KB Output is correct
16 Correct 76 ms 19284 KB Output is correct
17 Correct 77 ms 19412 KB Output is correct
18 Correct 11 ms 12888 KB Output is correct
19 Execution timed out 1040 ms 37896 KB Time limit exceeded
20 Halted 0 ms 0 KB -

Subtask #4
0.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6492 KB Output is correct
2 Correct 2 ms 10844 KB Output is correct
3 Correct 2 ms 10844 KB Output is correct
4 Correct 3 ms 13048 KB Output is correct
5 Correct 2 ms 12892 KB Output is correct
6 Correct 2 ms 11100 KB Output is correct
7 Correct 3 ms 11100 KB Output is correct
8 Correct 9 ms 13148 KB Output is correct
9 Correct 5 ms 13148 KB Output is correct
10 Correct 12 ms 13148 KB Output is correct
11 Correct 12 ms 13148 KB Output is correct
12 Correct 18 ms 15448 KB Output is correct
13 Correct 6 ms 15452 KB Output is correct
14 Correct 50 ms 17436 KB Output is correct
15 Correct 21 ms 17244 KB Output is correct
16 Correct 76 ms 19284 KB Output is correct
17 Correct 77 ms 19412 KB Output is correct
18 Correct 11 ms 12888 KB Output is correct
19 Execution timed out 1040 ms 37896 KB Time limit exceeded
20 Halted 0 ms 0 KB -

Subtask #5
0.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6488 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 2 ms 10844 KB Output is correct
4 Correct 2 ms 10844 KB Output is correct
5 Correct 3 ms 13048 KB Output is correct
6 Correct 2 ms 12892 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 2 ms 10840 KB Output is correct
11 Incorrect 2 ms 10840 KB 1st lines differ - on the 1st token, expected: '28', found: '27'
12 Halted 0 ms 0 KB -

Subtask #6
0.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6488 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 2 ms 10844 KB Output is correct
4 Correct 2 ms 10844 KB Output is correct
5 Correct 3 ms 13048 KB Output is correct
6 Correct 2 ms 12892 KB Output is correct
7 Correct 2 ms 11100 KB Output is correct
8 Correct 3 ms 11100 KB Output is correct
9 Correct 9 ms 13148 KB Output is correct
10 Correct 5 ms 13148 KB Output is correct
11 Correct 12 ms 13148 KB Output is correct
12 Correct 12 ms 13148 KB Output is correct
13 Correct 18 ms 15448 KB Output is correct
14 Correct 6 ms 15452 KB Output is correct
15 Correct 50 ms 17436 KB Output is correct
16 Correct 21 ms 17244 KB Output is correct
17 Correct 76 ms 19284 KB Output is correct
18 Correct 77 ms 19412 KB Output is correct
19 Correct 1 ms 6492 KB Output is correct
20 Correct 1 ms 6492 KB Output is correct
21 Correct 1 ms 6492 KB Output is correct
22 Correct 2 ms 10840 KB Output is correct
23 Incorrect 2 ms 10840 KB 1st lines differ - on the 1st token, expected: '28', found: '27'
24 Halted 0 ms 0 KB -

Subtask #7
0.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6488 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 2 ms 10844 KB Output is correct
4 Correct 2 ms 10844 KB Output is correct
5 Correct 3 ms 13048 KB Output is correct
6 Correct 2 ms 12892 KB Output is correct
7 Correct 2 ms 11100 KB Output is correct
8 Correct 3 ms 11100 KB Output is correct
9 Correct 9 ms 13148 KB Output is correct
10 Correct 5 ms 13148 KB Output is correct
11 Correct 12 ms 13148 KB Output is correct
12 Correct 12 ms 13148 KB Output is correct
13 Correct 18 ms 15448 KB Output is correct
14 Correct 6 ms 15452 KB Output is correct
15 Correct 50 ms 17436 KB Output is correct
16 Correct 21 ms 17244 KB Output is correct
17 Correct 76 ms 19284 KB Output is correct
18 Correct 77 ms 19412 KB Output is correct
19 Correct 11 ms 12888 KB Output is correct
20 Execution timed out 1040 ms 37896 KB Time limit exceeded
21 Halted 0 ms 0 KB -

Subtask #8
0.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6488 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 2 ms 10844 KB Output is correct
4 Correct 2 ms 10844 KB Output is correct
5 Correct 3 ms 13048 KB Output is correct
6 Correct 2 ms 12892 KB Output is correct
7 Correct 2 ms 11100 KB Output is correct
8 Correct 3 ms 11100 KB Output is correct
9 Correct 9 ms 13148 KB Output is correct
10 Correct 5 ms 13148 KB Output is correct
11 Correct 12 ms 13148 KB Output is correct
12 Correct 12 ms 13148 KB Output is correct
13 Correct 18 ms 15448 KB Output is correct
14 Correct 6 ms 15452 KB Output is correct
15 Correct 50 ms 17436 KB Output is correct
16 Correct 21 ms 17244 KB Output is correct
17 Correct 76 ms 19284 KB Output is correct
18 Correct 77 ms 19412 KB Output is correct
19 Correct 11 ms 12888 KB Output is correct
20 Execution timed out 1040 ms 37896 KB Time limit exceeded
21 Halted 0 ms 0 KB -

Subtask #9
0.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6488 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 2 ms 10844 KB Output is correct
4 Correct 2 ms 10844 KB Output is correct
5 Correct 3 ms 13048 KB Output is correct
6 Correct 2 ms 12892 KB Output is correct
7 Correct 2 ms 11100 KB Output is correct
8 Correct 3 ms 11100 KB Output is correct
9 Correct 9 ms 13148 KB Output is correct
10 Correct 5 ms 13148 KB Output is correct
11 Correct 12 ms 13148 KB Output is correct
12 Correct 12 ms 13148 KB Output is correct
13 Correct 18 ms 15448 KB Output is correct
14 Correct 6 ms 15452 KB Output is correct
15 Correct 50 ms 17436 KB Output is correct
16 Correct 21 ms 17244 KB Output is correct
17 Correct 76 ms 19284 KB Output is correct
18 Correct 77 ms 19412 KB Output is correct
19 Correct 11 ms 12888 KB Output is correct
20 Execution timed out 1040 ms 37896 KB Time limit exceeded
21 Halted 0 ms 0 KB -