hdu 6202 cube cube cube

本文介绍了一个针对八面四轴奇特结构的模拟器,通过暴力搜索算法判断给定状态是否能在三步内复原。文章详细展示了各种旋转操作的实现,并通过深度优先搜索来检查复原可能性。

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题目链接

PS:求你们放过测评姬吧orz

一个八面四轴的奇特模仿,问给定的一个状态能否在三步及三步以内复原

大暴力,写得累死了orz
虽然代码写得丑,但是能过呀orz

#include <bits/stdc++.h>

using namespace std;

int a[100];

void change(int *t1, int *t2, int *tmpx, int len) {
    for (int i = 0; i < len; i ++)
        tmpx[t2[i]] = a[t1[i]];
}

void rotate1R() {
    int *tmp = new int[100];
    for (int i = 1; i <= 72; i ++) tmp[i] = 0;

    int index1[] = {28, 30, 31, 35, 36};
    int index2[] = {14, 15, 11, 12, 10};
    change(index1, index2, tmp, 5);

    int index3[] = {14, 15, 11, 12, 10};
    int index4[] = {45, 44, 43, 42, 41};
    change(index3, index4, tmp, 5);

    int index5[] = {45, 44, 43, 42, 41};
    int index6[] = {28, 30, 31, 35, 36};
    change(index5, index6, tmp, 5);

    int index7[] = {1, 5, 9, 2, 3, 4, 8, 7, 6};
    int index8[] = {9, 1, 5, 4, 8, 7, 6, 2, 3};
    change(index7, index8, tmp, 9);

    int index9[] = {19, 54, 68};
    int index10[] = {54, 68, 19};
    change(index9, index10, tmp, 3);

    for (int i = 1; i <= 72; i ++) if (tmp[i])
        a[i] = tmp[i];

    delete []tmp;
}

void rotate1M() {
    int *tmp = new int[100];
    for (int i = 1; i <= 72; i ++) tmp[i] = 0;

    int index1[] = {29, 33, 34, 16, 17, 13, 40, 39, 38};
    int index2[] = {16, 17, 13, 40, 39, 38, 29, 33, 34};
    change(index1, index2, tmp, 9);

    int index3[] = {20, 21, 22, 49, 53, 52, 70, 69, 65};
    int index4[] = {49, 53, 52, 70, 69, 65, 20, 21, 22};
    change(index3, index4, tmp, 9);

    for (int i = 1; i <= 72; i ++) if (tmp[i])
        a[i] = tmp[i];

    delete []tmp;
}

void rotate1L() {
    int *tmp = new int[100];
    for (int i = 1; i <= 72; i ++) tmp[i] = 0;

    int index1[] = {23, 24, 25, 26, 27};
    int index2[] = {46, 48, 47, 51, 50};
    change(index1, index2, tmp, 5);

    int index3[] = {46, 48, 47, 51, 50};
    int index4[] = {72, 71, 67, 66, 64};
    change(index3, index4, tmp, 5);

    int index5[] = {72, 71, 67, 66, 64};
    int index6[] = {23, 24, 25, 26, 27};
    change(index5, index6, tmp, 5);

    int index7[] = {55, 59, 63, 57, 56, 60, 61, 62, 58};
    int index8[] = {59, 63, 55, 60, 61, 62, 58, 57, 56};
    change(index7, index8, tmp, 9);

    int index9[] = {37, 32, 18};
    int index10[] = {32, 18, 37};
    change(index9, index10, tmp, 3);

    for (int i = 1; i <= 72; i ++) if (tmp[i])
        a[i] = tmp[i];

    delete []tmp;
}

void rotate2R() {
    int *tmp = new int[100];
    for (int i = 1; i <= 72; i ++) tmp[i] = 0;

    int index1[] = {68, 69, 65, 66, 64};
    int index2[] = {9, 8, 7, 6, 5};
    change(index1, index2, tmp, 5);

    int index3[] = {9, 8, 7, 6, 5};
    int index4[] = {46, 48, 49, 53, 54};
    change(index3, index4, tmp, 5);

    int index5[] = {46, 48, 49, 53, 54};
    int index6[] = {68, 69, 65, 66, 64};
    change(index5, index6, tmp, 5);

    int index7[] = {45, 41, 37, 43, 42, 38, 39, 40, 44};
    int index8[] = {41, 37, 45, 38, 39, 40, 44, 43, 42};
    change(index7, index8, tmp, 9);

    int index9[] = {36, 14, 55};
    int index10[] = {14, 55, 36};
    change(index9, index10, tmp, 3);

    for (int i = 1; i <= 72; i ++) if (tmp[i])
        a[i] = tmp[i];

    delete []tmp;
}

void rotate2L() {
    int *tmp = new int[100];
    for (int i = 1; i <= 72; i ++) tmp[i] = 0;

    int index1[] = {28, 30, 29, 33, 32};
    int index2[] = {18, 17, 13, 12, 10};
    change(index1, index2, tmp, 5);

    int index3[] = {18, 17, 13, 12, 10};
    int index4[] = {59, 60, 61, 62, 63};
    change(index3, index4, tmp, 5);

    int index5[] = {59, 60, 61, 62, 63};
    int index6[] = {28, 30, 29, 33, 32};
    change(index5, index6, tmp, 5);

    int index7[] = {27, 19, 23, 26, 22, 21, 20, 24, 25};
    int index8[] = {19, 23, 27, 21, 20, 24, 25, 26, 22};
    change(index7, index8, tmp, 9);

    int index9[] = {1, 50, 72};
    int index10[] = {50, 72, 1};
    change(index9, index10, tmp, 3);

    for (int i = 1; i <= 72; i ++) if (tmp[i])
        a[i] = tmp[i];

    delete []tmp;
}

void rotate2M() {
    int *tmp = new int[100];
    for (int i = 1; i <= 72; i ++) tmp[i] = 0;

    int index1[] = {70, 71, 67, 4, 3, 2, 47, 51, 52};
    int index2[] = {4, 3, 2, 47, 51, 52, 70, 71, 67};
    change(index1, index2, tmp, 9);

    int index3[] = {31, 35, 34, 16, 15, 11, 56, 57, 58};
    int index4[] = {16, 15, 11, 56, 57, 58, 31, 35, 34};
    change(index3, index4, tmp, 9);

    for (int i = 1; i <= 72; i ++) if (tmp[i])
        a[i] = tmp[i];

    delete []tmp;
}

void rotate3R() {
    int *tmp = new int[100];
    for (int i = 1; i <= 72; i ++) tmp[i] = 0;

    int index1[] = {19, 21, 22, 26, 27};
    int index2[] = {5, 6, 2, 3, 1};
    change(index1, index2, tmp, 5);

    int index3[] = {5, 6, 2, 3, 1};
    int index4[] = {72, 71, 70, 69, 68};
    change(index3, index4, tmp, 5);

    int index5[] = {72, 71, 70, 69, 68};
    int index6[] = {19, 21, 22, 26, 27};
    change(index5, index6, tmp, 5);

    int index7[] = {28, 36, 32, 30, 31, 35, 34, 33, 29};
    int index8[] = {36, 32, 28, 35, 34, 33, 29, 30, 31};
    change(index7, index8, tmp, 9);

    int index9[] = {59, 10, 45};
    int index10[] = {10, 45, 59};
    change(index9, index10, tmp, 3);

    for (int i = 1; i <= 72; i ++) if (tmp[i])
        a[i] = tmp[i];

    delete []tmp;
}

void rotate3L() {
    int *tmp = new int[100];
    for (int i = 1; i <= 72; i ++) tmp[i] = 0;

    int index1[] = {63, 62, 58, 57, 55};
    int index2[] = {14, 15, 16, 17, 18};
    change(index1, index2, tmp, 5);

    int index3[] = {14, 15, 16, 17, 18};
    int index4[] = {37, 39, 38, 42, 41};
    change(index3, index4, tmp, 5);

    int index5[] = {37, 39, 38, 42, 41};
    int index6[] = {63, 62, 58, 57, 55};
    change(index5, index6, tmp, 5);

    int index7[] = {54, 46, 50, 53, 49, 48, 47, 51, 52};
    int index8[] = {46, 50, 54, 48, 47, 51, 52, 53, 49};
    change(index7, index8, tmp, 9);

    int index9[] = {23, 9, 64};
    int index10[] = {9, 64, 23};
    change(index9, index10, tmp, 3);

    for (int i = 1; i <= 72; i ++) if (tmp[i])
        a[i] = tmp[i];

    delete []tmp;
}

void rotate3M() {
    int *tmp = new int[100];
    for (int i = 1; i <= 72; i ++) tmp[i] = 0;

    int index1[] = {20, 24, 25, 7, 8, 4, 67, 66, 65};
    int index2[] = {7, 8, 4, 67, 66, 65, 20, 24, 25};
    change(index1, index2, tmp, 9);

    int index3[] = {11, 12, 13, 40, 44, 43, 61, 60, 56};
    int index4[] = {40, 44, 43, 61, 60, 56, 11, 12, 13};
    change(index3, index4, tmp, 9);

    for (int i = 1; i <= 72; i ++) if (tmp[i])
        a[i] = tmp[i];

    delete []tmp;
}

void rotate4R() {
    int *tmp = new int[100];
    for (int i = 1; i <= 72; i ++) tmp[i] = 0;

    int index1[] = {59, 60, 56, 57, 55};
    int index2[] = {36, 35, 34, 33, 32};
    change(index1, index2, tmp, 5);

    int index3[] = {36, 35, 34, 33, 32};
    int index4[] = {37, 39, 40, 44, 45};
    change(index3, index4, tmp, 5);

    int index5[] = {37, 39, 40, 44, 45};
    int index6[] = {59, 60, 56, 57, 55};
    change(index5, index6, tmp, 5);

    int index7[] = {64, 72, 68, 66, 67, 71, 70, 69, 65};
    int index8[] = {72, 68, 64, 71, 70, 69, 65, 66, 67};
    change(index7, index8, tmp, 9);

    int index9[] = {5, 46, 27};
    int index10[] = {46, 27, 5};
    change(index9, index10, tmp, 3);

    for (int i = 1; i <= 72; i ++) if (tmp[i])
        a[i] = tmp[i];

    delete []tmp;
}

void rotate4L() {
    int *tmp = new int[100];
    for (int i = 1; i <= 72; i ++) tmp[i] = 0;

    int index1[] = {50, 51, 52, 53, 54};
    int index2[] = {19, 21, 20, 24, 23};
    change(index1, index2, tmp, 5);

    int index3[] = {19, 21, 20, 24, 23};
    int index4[] = {9, 8, 4, 3, 1};
    change(index3, index4, tmp, 5);

    int index5[] = {9, 8, 4, 3, 1};
    int index6[] = {50, 51, 52, 53, 54};
    change(index5, index6, tmp, 5);

    int index7[] = {10, 14, 18, 12, 11, 15, 16, 17, 13};
    int index8[] = {14, 18, 10, 15, 16, 17, 13, 12, 11};
    change(index7, index8, tmp, 9);

    int index9[] = {63, 28, 41};
    int index10[] = {28, 41, 63};
    change(index9, index10, tmp, 3);

    for (int i = 1; i <= 72; i ++) if (tmp[i])
        a[i] = tmp[i];

    delete []tmp;
}

void rotate4M() {
    int *tmp = new int[100];
    for (int i = 1; i <= 72; i ++) tmp[i] = 0;

    int index1[] = {61, 62, 58, 31, 30, 29, 38, 42, 43};
    int index2[] = {31, 30, 29, 38, 42, 43, 61, 62, 58};
    change(index1, index2, tmp, 9);

    int index3[] = {22, 26, 25, 7, 6, 2, 47, 48, 49};
    int index4[] = {7, 6, 2, 47, 48, 49, 22, 26, 25};
    change(index3, index4, tmp, 9);

    for (int i = 1; i <= 72; i ++) if (tmp[i])
        a[i] = tmp[i];

    delete []tmp;
}

bool check() {
    for (int i = 1; i <= 72; i += 9)
        for (int j = 0; j < 9; j ++)
            if (a[i] != a[i + j])
                return false;
    return true;
}

void rotate(int n) {
    if (n == 1) rotate1R(); else if (n == 2) rotate1R(), rotate1R(); else if (n == 3) rotate1L();
    else if (n == 4) rotate1L(), rotate1L(); else if (n == 5) rotate1M(); else if (n == 6) rotate1M(), rotate1M();
    else if (n == 7) rotate2R(); else if (n == 8) rotate2R(), rotate2R(); else if (n == 9) rotate2L(); 
    else if (n == 10) rotate2L(), rotate2L(); else if (n == 11) rotate2M(); else if (n == 12) rotate2M(), rotate2M();
    else if (n == 13) rotate3R(); else if (n == 14) rotate3R(), rotate3R(); else if (n == 15) rotate3L();
    else if (n == 16) rotate3L(), rotate3L(); else if (n == 17) rotate3M(); else if (n == 18) rotate3M(), rotate3M();
    else if (n == 19) rotate4R(); else if (n == 20) rotate4R(), rotate4R(); else if (n == 21) rotate4L();
    else if (n == 22) rotate4L(), rotate4L(); else if (n == 23) rotate4M(); else rotate4M(), rotate4M();
}

bool flag;
void dfs(int dep) {
    if (check()) {flag = true; return;}
    if (dep == 4) {return;}
    for (int i = 1; i <= 24; i ++) {
        rotate(i);
        dfs(dep + 1);
        if (flag) return;
        rotate(i + ((i & 1) ? 1 : -1));
    }
}

int main(int argc, char const *argv[]) {

    int T; cin >> T;

    while (T --) {

        for (int i = 1; i <= 72; i ++)
            scanf("%d", a + i);

        flag = false;
        dfs(1);

        if (flag) puts("YES");
        else puts("NO");
    }

    return 0;
}
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MPU6050是一款广泛应用在无人机、机器人和运动设备中的六轴姿态传感器,它集成了三轴陀螺仪和三轴加速度计。这款传感器能够实时监测并提供设备的角速度和线性加速度数据,对于理解物体的动态运动状态至关重要。在Arduino平台上,通过特定的库文件可以方便地与MPU6050进行通信,获取并解析传感器数据。 `MPU6050.cpp`和`MPU6050.h`是Arduino库的关键组成部分。`MPU6050.h`是头文件,包含了定义传感器接口和函数声明。它定义了类`MPU6050`,该类包含了初始化传感器、读取数据等方法。例如,`begin()`函数用于设置传感器的工作模式和I2C地址,`getAcceleration()`和`getGyroscope()`则分别用于获取加速度和角速度数据。 在Arduino项目中,首先需要包含`MPU6050.h`头文件,然后创建`MPU6050`对象,并调用`begin()`函数初始化传感器。之后,可以通过循环调用`getAcceleration()`和`getGyroscope()`来不断更新传感器读数。为了处理这些原始数据,通常还需要进行校准和滤波,以消除噪声和漂移。 I2C通信协议是MPU6050与Arduino交互的基础,它是一种低引脚数的串行通信协议,允许多个设备共享一对数据线。Arduino板上的Wire库提供了I2C通信的底层支持,使得用户无需深入了解通信细节,就能方便地与MPU6050交互。 MPU6050传感器的数据包括加速度(X、Y、Z轴)和角速度(同样为X、Y、Z轴)。加速度数据可以用来计算物体的静态位置和动态运动,而角速度数据则能反映物体转动的速度。结合这两个数据,可以进一步计算出物体的姿态(如角度和角速度变化)。 在嵌入式开发领域,特别是使用STM32微控制器时,也可以找到类似的库来驱动MPU6050。STM32通常具有更强大的处理能力和更多的GPIO口,可以实现更复杂的控制算法。然而,基本的传感器操作流程和数据处理原理与Arduino平台相似。 在实际应用中,除了基本的传感器读取,还可能涉及到温度补偿、低功耗模式设置、DMP(数字运动处理器)功能的利用等高级特性。DMP可以帮助处理传感器数据,实现更高级的运动估计,减轻主控制器的计算负担。 MPU6050是一个强大的六轴传感器,广泛应用于各种需要实时运动追踪的项目中。通过 Arduino 或 STM32 的库文件,开发者可以轻松地与传感器交互,获取并处理数据,实现各种创新应用。博客和其他开源资源是学习和解决问题的重要途径,通过这些资源,开发者可以获得关于MPU6050的详细信息和实践指南
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