Submission #671105

# Submission time Handle Problem Language Result Execution time Memory
671105 2022-12-12T03:51:02 Z LittleCube Scales (IOI15_scales) C++14
100 / 100
38 ms 620 KB
#include "scales.h"
#include <bits/stdc++.h>
#define ll long long
using namespace std;

int p[7];
void getInit(vector<int> &v)
{
    for (int i = 0; i < 6; i++)
        p[v[i]] = i;
}
int getM(int A, int B, int C, vector<int> &v)
{
    getInit(v);
    int mx = max({p[A], p[B], p[C]}), mi = min({p[A], p[B], p[C]});
    if (mi < p[A] && p[A] < mx)
        return A;
    if (mi < p[B] && p[B] < mx)
        return B;
    return C;
}
int getH(int A, int B, int C, vector<int> &v)
{
    getInit(v);
    int mx = max({p[A], p[B], p[C]});
    if (p[A] == mx)
        return A;
    if (p[B] == mx)
        return B;
    return C;
}
int getL(int A, int B, int C, vector<int> &v)
{
    getInit(v);
    int mi = min({p[A], p[B], p[C]});
    if (p[A] == mi)
        return A;
    if (p[B] == mi)
        return B;
    return C;
}
int getNL(int A, int B, int C, int D, vector<int> &v)
{
    int mi = getL(A, B, C, v),
        me = getM(A, B, C, v),
        mx = getH(A, B, C, v);
    if (p[D] < p[mi])
        return mi;
    if (p[D] < p[me])
        return me;
    if (p[D] < p[mx])
        return mx;
    return mi;
}

/*
int getMedian(int A, int B, int C);
int getHeaviest(int A, int B, int C);
int getLightest(int A, int B, int C);
int getNextLightest(int A, int B, int C, int D);
*/
struct op
{
    int type, a, b, c, d, out;
} tree[800][6];

bool brute(vector<pair<vector<int>, int>> &state, int dep)
{
    // cout << "brute " << sz << '\n';
    int sz = state.size();
    if (sz <= 1)
        return 1;

    for (int D = 1; D <= 6; D++)
        for (int A = 1; A <= 6; A++)
            for (int B = A + 1; B <= 6; B++)
                for (int C = B + 1; C <= 6; C++)
                    if (A != D && B != D && C != D)
                    {
                        vector<pair<vector<int>, int>> space[7];
                        for (auto [v, i] : state)
                            space[getNL(A, B, C, D, v)].emplace_back(make_pair(v, i));
                        bool good = 1;
                        for (int k = 1; k <= 6; k++)
                            if (space[k].size() > (sz + 2) / 3)
                                good = 0;
                        if (good)
                        {
                            bool solve = 1;
                            for (int k = 1; k <= 6; k++)
                                if (!space[k].empty())
                                    solve &= brute(space[k], dep + 1);
                            if (solve)
                            {
                                for (int k = 1; k <= 6; k++)
                                    for (auto [v, i] : space[k])
                                        tree[i][dep] = {2, A, B, C, D, k};
                                return 1;
                            }
                        }
                    }

    for (int A = 1; A <= 6; A++)
        for (int B = A + 1; B <= 6; B++)
            for (int C = B + 1; C <= 6; C++)
            {
                vector<pair<vector<int>, int>> space[7];
                for (auto [v, i] : state)
                {
                    for (int i = 0; i < 6; i++)
                        p[i + 1] = v[i];
                    space[getM(A, B, C, v)].emplace_back(make_pair(v, i));
                }
                bool good = 1;
                for (int k = 1; k <= 6; k++)
                    if (space[k].size() > (sz + 2) / 3)
                        good = 0;
                if (good)
                {
                    bool solve = 1;
                    for (int k = 1; k <= 6; k++)
                        if (!space[k].empty())
                            solve &= brute(space[k], dep + 1);
                    if (solve)
                    {
                        for (int k = 1; k <= 6; k++)
                            for (auto [v, i] : space[k])
                                tree[i][dep] = {1, A, B, C, 0, k};
                        return 1;
                    }
                }
            }
    return 0;
}

vector<pair<vector<int>, int>> allp;
void init(int T)
{
    vector<int> v = {1, 2, 3, 4, 5, 6};
    for (int i = 0; i < 720; i++)
    {
        allp.emplace_back(make_pair(v, i));
        next_permutation(v.begin(), v.end());
    }
    brute(allp, 0);
}

void orderCoins()
{
    vector<int> remain, tmp;
    for (int i = 0; i < 720; i++)
        remain.emplace_back(i);
    for (int i = 0; i < 6; i++)
    {
        int j = remain.back(), res;
        auto [t, a, b, c, d, o] = tree[j][i];
        if (t == 1)
            res = getMedian(a, b, c);
        else
            res = getNextLightest(a, b, c, d);
        tmp.clear();
        for (auto k : remain)
            if (tree[k][i].out == res)
                tmp.emplace_back(k);
        swap(tmp, remain);
    }
    int ans[6];
    for (int i = 0; i < 6; i++)
        ans[i] = allp[remain[0]].first[i];
    answer(ans);
}

Compilation message

scales.cpp: In function 'bool brute(std::vector<std::pair<std::vector<int>, int> >&, int)':
scales.cpp:70:24: warning: conversion from 'std::vector<std::pair<std::vector<int>, int> >::size_type' {aka 'long unsigned int'} to 'int' may change value [-Wconversion]
   70 |     int sz = state.size();
      |              ~~~~~~~~~~^~
scales.cpp:81:35: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   81 |                         for (auto [v, i] : state)
      |                                   ^
scales.cpp:85:49: warning: comparison of integer expressions of different signedness: 'std::vector<std::pair<std::vector<int>, int> >::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   85 |                             if (space[k].size() > (sz + 2) / 3)
      |                                 ~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~
scales.cpp:96:47: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   96 |                                     for (auto [v, i] : space[k])
      |                                               ^
scales.cpp:108:27: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  108 |                 for (auto [v, i] : state)
      |                           ^
scales.cpp:110:30: warning: declaration of 'i' shadows a previous local [-Wshadow]
  110 |                     for (int i = 0; i < 6; i++)
      |                              ^
scales.cpp:108:31: note: shadowed declaration is here
  108 |                 for (auto [v, i] : state)
      |                               ^
scales.cpp:116:41: warning: comparison of integer expressions of different signedness: 'std::vector<std::pair<std::vector<int>, int> >::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  116 |                     if (space[k].size() > (sz + 2) / 3)
      |                         ~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~
scales.cpp:127:39: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  127 |                             for (auto [v, i] : space[k])
      |                                       ^
scales.cpp: In function 'void init(int)':
scales.cpp:137:15: warning: unused parameter 'T' [-Wunused-parameter]
  137 | void init(int T)
      |           ~~~~^
scales.cpp: In function 'void orderCoins()':
scales.cpp:156:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  156 |         auto [t, a, b, c, d, o] = tree[j][i];
      |              ^
# Verdict Execution time Memory Grader output
1 Correct 34 ms 436 KB Output is correct
2 Correct 34 ms 500 KB Output is correct
3 Correct 34 ms 516 KB Output is correct
4 Correct 35 ms 516 KB Output is correct
5 Correct 38 ms 620 KB Output is correct
6 Correct 34 ms 468 KB Output is correct
7 Correct 35 ms 504 KB Output is correct
8 Correct 35 ms 468 KB Output is correct
9 Correct 34 ms 468 KB Output is correct
10 Correct 35 ms 528 KB Output is correct
11 Correct 35 ms 468 KB Output is correct
12 Correct 35 ms 512 KB Output is correct
13 Correct 35 ms 468 KB Output is correct
14 Correct 34 ms 432 KB Output is correct
15 Correct 34 ms 468 KB Output is correct
16 Correct 35 ms 432 KB Output is correct
17 Correct 35 ms 504 KB Output is correct
18 Correct 35 ms 516 KB Output is correct
19 Correct 35 ms 520 KB Output is correct
20 Correct 35 ms 596 KB Output is correct
21 Correct 36 ms 468 KB Output is correct
22 Correct 35 ms 512 KB Output is correct
23 Correct 35 ms 524 KB Output is correct
24 Correct 35 ms 468 KB Output is correct
25 Correct 35 ms 428 KB Output is correct
26 Correct 35 ms 432 KB Output is correct
27 Correct 35 ms 496 KB Output is correct
28 Correct 35 ms 504 KB Output is correct
29 Correct 36 ms 468 KB Output is correct
30 Correct 35 ms 512 KB Output is correct
31 Correct 35 ms 468 KB Output is correct
32 Correct 35 ms 528 KB Output is correct
33 Correct 35 ms 524 KB Output is correct
34 Correct 34 ms 468 KB Output is correct
35 Correct 35 ms 468 KB Output is correct
36 Correct 35 ms 512 KB Output is correct
37 Correct 36 ms 516 KB Output is correct
38 Correct 36 ms 468 KB Output is correct
39 Correct 35 ms 516 KB Output is correct
40 Correct 35 ms 532 KB Output is correct