Submission #218527

#TimeUsernameProblemLanguageResultExecution timeMemory
218527emil_physmathDetecting Molecules (IOI16_molecules)C++17
31 / 100
45 ms65540 KiB
#include "molecules.h"
#include <iostream>
#include <vector>
using namespace std;

vector<int> find_subset(int l, int u, vector<int> w)
{
    int n = w.size();
    vector<vector<int> > prev(n, vector<int>(u + 1, -1));
    vector<vector<bool> > take(n, vector<bool>(u + 1));
    prev[0][0] = prev[0][w[0]] = 0;
    take[0][w[0]] = true;
    for (int i = 1; i < n; ++i)
    {
        prev[i][0] = i;
        take[i][0] = false;
        for (int j = 1; j <= u; ++j)
            if (prev[i - 1][j] != -1)
            {
                take[i][j] = false;
                prev[i][j] = i - 1;
            }
            else if (j - w[i] >= 0 && prev[i - 1][j - w[i]] != -1)
            {
                take[i][j] = true;
                prev[i][j] = i - 1;
            }
    }
    for (int j = l; j <= u; ++j)
        if (prev[n - 1][j] != -1)
        {
            vector<int> res;
            int i = n - 1;
            while (i >= 0)
            {
                if (take[i][j])
                {
                    res.push_back(i);
                    if (i == prev[i][j])
                        return res;
                    j -= w[i];
                    i = prev[i][j];
                }
                else if (prev[i][j] == i)
                    return res;
                else
                    i = prev[i][j];
            }
            return res;
        }
    return vector<int>(0);
}
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