oj.uz

Submission #993231

# Submission time Handle Problem Language Result Execution time Memory
993231 2024-06-05T12:56:49 Z boris_mihov Train (APIO24_train) C++17
5 / 100
 330 ms 42140 KB 
#include "train.h"
#include <algorithm>
#include <iostream>
#include <numeric>
#include <cassert>
#include <vector>
#include <queue>

typedef long long llong;
const int MAXN = 100000 + 10;
const llong INF = 4e18;
const int INTINF = 2e9;

int n, m, w;
struct Edge
{
    int from;
    int to;
    int cost;
    int begTime;
    int endTime;
};

Edge edges[MAXN];
struct Interval
{
    int from, to, cost;
};

int father[MAXN];
int father2[MAXN];
std::vector <std::pair <int,int>> intervals;
std::vector <std::pair <int,llong>> g[3 * MAXN];
std::vector <int> begining[MAXN];
std::vector <int> ending[MAXN];
llong dist[3 * MAXN];
bool vis[3 * MAXN];
int t[MAXN];

int intervalsToMeBeg(int value)
{
    int l = -1, r = intervals.size(), mid;
    while (l < r - 1)
    {
        mid = l + r >> 1;
        if (intervals[mid].second < value) l = mid;
        else r = mid;
    }

    return r;
}

int intervalsToMeEnd(int value)
{
    int l = -1, r = intervals.size(), mid;
    while (l < r - 1)
    {
        mid = l + r >> 1;
        if (intervals[mid].first <= value) l = mid;
        else r = mid;
    }

    return r;
}

long long solve(int N, int M, int W, std::vector<int> T, std::vector<int> X, std::vector<int> Y,
                std::vector<int> A, std::vector<int> B, std::vector<int> C, std::vector<int> L,
                std::vector<int> R)
{
    n = N; m = M; w = W;
    for (int i = 0 ; i < m ; ++i)
    {
        X[i]++;
        Y[i]++;
        edges[i + 1] = {X[i], Y[i], C[i], A[i], B[i]};
        begining[X[i]].push_back(i + 1);
        ending[Y[i]].push_back(i + 1);
    }


    for (int i = 1 ; i <= n ; ++i)
    {
        t[i] = T[i - 1];
    }

    std::sort(L.begin(), L.end());
    std::sort(R.begin(), R.end());
    for (int i = 0 ; i < w ; ++i)
    {
        intervals.push_back({L[i], R[i]});
    }
    
    int cnt = m;
    int cnt2 = 2 * m;
    for (int i = 1 ; i <= n ; ++i)
    {
        std::sort(ending[i].begin(), ending[i].end(), [&](int x, int y)
        {
            return edges[x].endTime < edges[y].endTime;
        });

        std::sort(begining[i].begin(), begining[i].end(), [&](int x, int y)
        {
            return edges[x].begTime < edges[y].begTime;
        });

        for (int j = 0 ; j < begining[i].size() ; ++j)
        {
            father[begining[i][j]] = ++cnt;
            g[father[begining[i][j]]].push_back({begining[i][j], edges[begining[i][j]].cost + 1LL * intervalsToMeBeg(edges[begining[i][j]].begTime) * t[i]});
        }

        for (int j = 0 ; j + 1 < begining[i].size() ; ++j)
        {
            g[father[begining[i][j]]].push_back({father[begining[i][j + 1]], 0});
        }

        for (int j = 0 ; j < begining[i].size() ; ++j)
        {
            father2[begining[i][j]] = ++cnt2;
            g[father2[begining[i][j]]].push_back({begining[i][j], edges[begining[i][j]].cost});
        }

        for (int j = 0 ; j + 1 < begining[i].size() ; ++j)
        {
            g[father2[begining[i][j]]].push_back({father2[begining[i][j + 1]], 0});
        }

        int ptr = begining[i].size();
        for (int j = (int)ending[i].size() - 1 ; j >= 0 ; --j)
        {
            while (ptr > 0 && edges[begining[i][ptr - 1]].begTime >= edges[ending[i][j]].endTime)
            {
                ptr--;
            }

            if (ptr < begining[i].size()) 
            {
                int l = ptr - 1, r = begining[i].size(), mid;
                while (l < r - 1)
                {
                    mid = l + r >> 1;
                    if (intervalsToMeBeg(edges[begining[i][mid]].begTime) < intervalsToMeEnd(edges[ending[i][j]].endTime)) l = mid;
                    else r = mid;
                }

                if (l != ptr - 1) g[ending[i][j]].push_back({father2[begining[i][ptr]], 0});
                if (r != begining[i].size()) g[ending[i][j]].push_back({father[begining[i][r]], -1LL * intervalsToMeEnd(edges[ending[i][j]].endTime) * t[i]});
            }
        }
    }

    std::fill(dist + 1, dist + 1 + 3 * m, INF);
    std::priority_queue <std::pair <llong,int>> pq;
    for (const int &idx : begining[1])
    {
        int count = 0;
        for (const auto &[l, r] : intervals)
        {
            count += (r < edges[idx].begTime);
        }

        dist[idx] = edges[idx].cost + 1LL * count * t[1];
        pq.push({-dist[idx], idx});
    }

    while (pq.size())
    {
        auto [d, node] = pq.top();
        pq.pop();

        vis[node] = true;
        for (const auto &[u, ed] : g[node])
        {
            if (dist[u] > dist[node] + ed)
            {
                dist[u] = dist[node] + ed;
                pq.push({-dist[u], u});
            }
        }
    }

    llong min = INF;
    for (const auto &idx : ending[n])
    {
        int count = 0;
        for (const auto &[l, r] : intervals)
        {
            count += (edges[idx].endTime < l);
        }

        min = std::min(min, dist[idx]+ 1LL * count * t[n]);
    }

	if (min == INF) return -1;
    return min;
}

Compilation message

train.cpp: In function 'int intervalsToMeBeg(int)':
train.cpp:45:17: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   45 |         mid = l + r >> 1;
      |               ~~^~~
train.cpp: In function 'int intervalsToMeEnd(int)':
train.cpp:58:17: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   58 |         mid = l + r >> 1;
      |               ~~^~~
train.cpp: In function 'long long int solve(int, int, int, std::vector<int>, std::vector<int>, std::vector<int>, std::vector<int>, std::vector<int>, std::vector<int>, std::vector<int>, std::vector<int>)':
train.cpp:107:28: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  107 |         for (int j = 0 ; j < begining[i].size() ; ++j)
      |                          ~~^~~~~~~~~~~~~~~~~~~~
train.cpp:113:32: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  113 |         for (int j = 0 ; j + 1 < begining[i].size() ; ++j)
      |                          ~~~~~~^~~~~~~~~~~~~~~~~~~~
train.cpp:118:28: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  118 |         for (int j = 0 ; j < begining[i].size() ; ++j)
      |                          ~~^~~~~~~~~~~~~~~~~~~~
train.cpp:124:32: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  124 |         for (int j = 0 ; j + 1 < begining[i].size() ; ++j)
      |                          ~~~~~~^~~~~~~~~~~~~~~~~~~~
train.cpp:137:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  137 |             if (ptr < begining[i].size())
      |                 ~~~~^~~~~~~~~~~~~~~~~~~~
train.cpp:142:29: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  142 |                     mid = l + r >> 1;
      |                           ~~^~~
train.cpp:148:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  148 |                 if (r != begining[i].size()) g[ending[i][j]].push_back({father[begining[i][r]], -1LL * intervalsToMeEnd(edges[ending[i][j]].endTime) * t[i]});
      |                     ~~^~~~~~~~~~~~~~~~~~~~~

Subtask #1
0.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 16988 KB Correct.
2 Correct 3 ms 16988 KB Correct.
3 Correct 3 ms 16988 KB Correct.
4 Incorrect 3 ms 16988 KB Wrong Answer.
5 Halted 0 ms 0 KB -

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 157 ms 35876 KB Correct.
2 Correct 132 ms 37132 KB Correct.
3 Correct 2 ms 14684 KB Correct.
4 Correct 10 ms 17756 KB Correct.
5 Correct 3 ms 16732 KB Correct.
6 Correct 113 ms 36608 KB Correct.
7 Correct 3 ms 16732 KB Correct.
8 Correct 119 ms 36512 KB Correct.
9 Correct 165 ms 37200 KB Correct.

Subtask #3
0.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 157 ms 35876 KB Correct.
2 Correct 132 ms 37132 KB Correct.
3 Correct 2 ms 14684 KB Correct.
4 Correct 10 ms 17756 KB Correct.
5 Correct 3 ms 16732 KB Correct.
6 Correct 113 ms 36608 KB Correct.
7 Correct 3 ms 16732 KB Correct.
8 Correct 119 ms 36512 KB Correct.
9 Correct 165 ms 37200 KB Correct.
10 Incorrect 330 ms 42140 KB Wrong Answer.
11 Halted 0 ms 0 KB -

Subtask #4
0.0 / 60.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 16988 KB Correct.
2 Correct 3 ms 16988 KB Correct.
3 Correct 3 ms 16988 KB Correct.
4 Incorrect 3 ms 16988 KB Wrong Answer.
5 Halted 0 ms 0 KB -