Submission #703767

#	Time	Username	Problem	Language	Result	Execution time	Memory
703767		LittleCube	Naan (JOI19_naan)	C++14	29 / 100	4051 ms	4788 KiB

naan

#include <bits/stdc++.h>
#define int long long
#define ll long long
#define pii pair<int, int>
#define F first
#define S second
using namespace std;

const bool LittleCubeIsBurningChicken = true;

mt19937 rd(chrono::steady_clock::now().time_since_epoch().count());

ll N, L, v[2005][4005], sum[4005];

int abtodc(int a, int b, int c)
{
    return (b * c + a - 1) / a;
}

vector<pii> sol;

pii solve(vector<int> p)
{
    sol.clear();
    pii last = {0, 1};
    int nxt = 1;
    for (auto i : p)
    {
        ll tmp = sum[i];
        while (tmp >= v[i][nxt] - abtodc(last.S, last.F, v[i][nxt]))
            tmp -= v[i][nxt] - abtodc(last.S, last.F, v[i][nxt]), last = {0, 1}, nxt++;
        last = {abtodc(last.S, last.F, v[i][nxt]), v[i][nxt]};
        last.F += tmp;
        sol.emplace_back(pii{last.F + last.S * (nxt - 1), last.S});
    }
    return sol.back();
}

signed main()
{
    ios::sync_with_stdio(0);
    cin.tie(0), cout.tie(0);
    cin >> N >> L;
    // why divide by N?
    // how to solve using only fractions? -> we can discard leftovers (things cannot be converted to current fraction) from last person
    // is it guarnteed to always have a solution? -> yes (at least for N <= 6)
    // why?
    for (int i = 1; i <= N; i++)
    {
        for (int j = 1; j <= L; j++)
        {
            cin >> v[i][j];
            // sum >= sum of v / N
            // sum * N >= sum of v
            sum[i] += v[i][j];
            v[i][j] *= N;
        }
        for (int j = L + 1; j <= L + N; j++)
            v[i][L + 1] = 2'00000'000;
    }
    vector<int> p;
    for (int i = 1; i <= N; i++)
        p.emplace_back(i);
    solve(p);
    while (sol.back().F > sol.back().S * L)
    {
        pii cur = sol.back();
        for (int i = 0; i < N - 1; i++)
        {
            swap(p[i], p[i + 1]);
            solve(p);

            if (sol.back().F * cur.S < sol.back().S * cur.F)
                break;
            swap(p[i], p[i + 1]);
        }
    }
    sol.pop_back();
    for (auto [a, b] : sol)
        cout << a << ' ' << b << '\n';
    for (auto i : p)
        cout << i << ' ';
    cout << '\n';
}

Compilation message (stderr)

naan.cpp: In function 'int main()':
naan.cpp:79:15: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   79 |     for (auto [a, b] : sol)
      |               ^

• Subtask 1: 5 / 5
• Subtask 2: 24 / 24
• Subtask 3: 0 / 71