UVALive 3401

本文介绍了一个基于C++实现的算法,用于求解多个六面骰子的最优排列组合方案,以减少相同数字对面出现的次数。该算法通过旋转骰子并记录每种状态来寻找最优解。

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#pragma warning(disable:4996)
#include<cstdio>
#include<cstring>
#include<string>
#include<cmath>
#include<vector>
#include<algorithm>
#include<iostream>
#include<time.h>
#include<map>
#include<set>
#include<sstream>
using namespace std;

int L[]={ 5, 1 , 3, 4, 6, 2 };
int up[] = { 3, 2, 6, 1, 5, 4 };

void rot(int *T,int  *p)
{
    int q[10];
    memcpy(q, p, sizeof(q));
    for (int i = 0; i < 6; i++)
    {
        p[i] = T[q[i]-1];
    }
}

int vs_main()
{
    printf("dice24[24][6]={\n");
    for (int i = 1; i <= 6; i++)
    {
        int p0[] = { 1, 2, 3, 4, 5, 6 };
        if (i == 1)
        {
            rot(up, p0);
        }
        if (i == 2)
        {
            rot(L, p0);
            rot(up, p0);
        }
        if (i == 3)
        {
            ;
        }
        if (i == 4)
        {
            rot(up, p0);
            rot(up, p0);
        }
        if (i == 5)
        {
            rot(L, p0);
            rot(L, p0);
            rot(L, p0);
            rot(up, p0);
        }
        if (i == 6)
        {
            rot(L, p0);
            rot(L, p0);
            rot(up, p0);
        }
       printf("{%d,%d,%d,%d,%d,%d},", p0[0], p0[1], p0[2], p0[3], p0[4], p0[5]);
        printf("\n");
        for (int i = 1; i <= 3; i++)
        {
            rot(L, p0);
            printf("{%d,%d,%d,%d,%d,%d},", p0[0], p0[1], p0[2], p0[3], p0[4], p0[5]);
                printf("\n");
        }
    }
        printf("};\n");
    return 0;
}
int main()
{
    int start = clock();
    freopen("in.txt", "r", stdin);
    //freopen("E:/out.txt","w",stdout);
    printf("#===================#\n");
    vs_main();
    printf("#===================#\n");
    printf("Time:%.3lf\n", double(clock() - start) / CLOCKS_PER_SEC);
    //system("pause");
    return 0;
}
#pragma warning(disable:4996)
#include<cstdio>
#include<cstring>
#include<string>
#include<cmath>
#include<vector>
#include<algorithm>
#include<iostream>
#include<time.h>
#include<map>
#include<set>
#include<sstream>
using namespace std;
int dice24[24][10] = { { 2, 1, 5, 0, 4, 3 }, { 2, 0, 1, 4, 5, 3 }, { 2, 4, 0, 5, 1, 3 }, { 2, 5, 4, 1, 0, 3 },
{ 4, 2, 5, 0, 3, 1 }, { 5, 2, 1, 4, 3, 0 }, { 1, 2, 0, 5, 3, 4 }, { 0, 2, 4, 1, 3, 5 }, { 0, 1, 2, 3, 4, 5 }, { 4, 0, 2, 3, 5, 1 },
{ 5, 4, 2, 3, 1, 0 }, { 1, 5, 2, 3, 0, 4 }, { 5, 1, 3, 2, 4, 0 }, { 1, 0, 3, 2, 5, 4 }, { 0, 4, 3, 2, 1, 5 }, { 4, 5, 3, 2, 0, 1 },
{ 1, 3, 5, 0, 2, 4 }, { 0, 3, 1, 4, 2, 5 }, { 4, 3, 0, 5, 2, 1 }, { 5, 3, 4, 1, 2, 0 }, { 3, 4, 5, 0, 1, 2 }, { 3, 5, 1, 4, 0, 2 },
{ 3, 1, 0, 5, 4, 2 }, { 3, 0, 4, 1, 5, 2 } };
const int INF = 0x3f3f3f3f;

const int maxn = 4;
int n, dice[maxn][6], ans;

vector<string> names;
int ID(const char *name)
{
    string s(name);
    int n = names.size();
    for (int i = 0; i < n; i++)
        if (names[i] == s)
            return i;
        names.push_back(s);
        return n;
}
int r[maxn], color[maxn][6];

void check()
{
    for (int i = 0; i < n; i++)
        for (int j = 0; j < 6; j++)
            color[i][dice24[r[i]][j]] = dice[i][j];

    int tot = 0;
    for (int j = 0; j < 6; j++)
    {
        int cnt[maxn*6];
        memset(cnt, 0, sizeof(cnt));
        int maxface = 0;
        for (int i = 0; i < n; i++)
            maxface = max(maxface, ++cnt[color[i][j]]);
        tot += n - maxface;
    }
    ans = min(ans, tot);
}
void dfs(int d)
{
    if (d == n)check();
    else for (int i = 0; i < 24; i++)
    {
        r[d] = i;
        dfs(d + 1);
    }
}
int vs_main()
{
    while (scanf("%d", &n) == 1 && n)
    {
        names.clear();
        for (int i = 0; i < n; i++)
            for (int j = 0; j < 6; j++)
            {
            char name[30];
            scanf("%s", name);
            dice[i][j] = ID(name);
            }
        ans = n * 6;
        r[0] = 0;
        dfs(1);
        printf("%d\n", ans);
    }
    return 0;
}
int main()
{
    int start = clock();
    freopen("in.txt", "r", stdin);
    //freopen("E:/out.txt","w",stdout);
    printf("#===================#\n");
    vs_main();
    printf("#===================#\n");
    printf("Time:%.3lf\n", double(clock() - start) / CLOCKS_PER_SEC);
    //system("pause");
    return 0;
}
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