箱子排序

链表用桶排序时间复杂度会较低

1.头文件虚基类linearlist.h

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#ifndef linearlist_
#define linearlist_
#include <iostream>
#include<string>
using namespace std;
template<class T>
class linearlist
{
public:
virtual ~linearlist() {};

virtual bool empty() const = 0;

virtual int size() const = 0;

virtual T& get(int theindex) const = 0;

virtual int indexof(const T& theelement) const = 0;

virtual void erase(int theindex) = 0;

virtual void insert(int theindex, const T& theelement) = 0;

virtual void output(ostream& out) const = 0;

};
#endif

2.头文件类声明chain.h

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#ifndef chain_H_
#define chain_H_
#include"linearlist.h"
template<class T>
struct chainnode
{
T element;
chainnode<T>* next;

chainnode() {}
chainnode(const T& element) { this->element = element; }
chainnode(const T& element, chainnode<T>* next)
{
this->element = element;
this->next = next;
}
};
template<class T>
class chain :public linearlist<T>
{
public:
chain(int initial = 10);
chain(const chain<T>&);//复制构造函数
~chain();
//
bool empty()const { return listsize == 0; }
int size()const { return listsize; }
T& get(int theindex)const;
int indexof(const T& theelement)const;
void erase(int theindex);
void insert(int theindex, const T& theelement);
void output(ostream& out)const;
void binsort(int range);

//迭代器
class iterator;
iterator begin() { return iterator(firstnode); }
iterator end() { return iterator(NULL); }

class iterator
{
public:
typedef forward_iterator_tag iterator_category;
typedef T value_type;
typedef ptrdiff_t difference_type;
typedef T* pointer;
typedef T& reference;

// 构造函数
iterator(chainnode<T>* theNode = NULL)
{
node = theNode;
}

// 解引用操作符
T& operator*() const { return node->element; }
T* operator->() const { return &node->element; }


iterator& operator++() // 前加加
{
node = node->next; return *this;
}
iterator operator++(int) //后加加
{
iterator old = *this;
node = node->next;
return old;
}

bool operator!=(const iterator right) const
{
return node != right.node;
}
bool operator==(const iterator right) const
{
return node == right.node;
}
protected:
chainnode<T>* node;
};

protected:
chainnode<T>* firstnode;//指向链表第一个节点的指针
int listsize;
};


struct studentrecord
{
int score;
string* name;
int operator != (const studentrecord& x) const
{
return score != x.score;
}
operator int()const { return score; }
};

#endif

3.类实现chain.cpp

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#include "chain.h"
template<class T>
chain<T>::chain(int initial)//初始容积
{
if (initial < 1)
{
exit(0);
}
firstnode = nullptr;
listsize = 0;

}

template<class T>
chain<T>::chain(const chain<T>& thelist)
{
//复制构造函数 就是复制链表
listsize = thelist.listsize;
//如果链表thelist为空
if (listsize == 0)
{
firstnode = nullptr;
return;
}
//非空,先复制第一个
chainnode<T>* sourcenode = thelist.firstnode;//要复制链表thelist的节点
firstnode = new chainnode<T>(sourcenode->element);//复制链表thelist的首元素
sourcenode = sourcenode->next;
chainnode<T>* targetnode = firstnode;//当前链表*this的最后一个节点
while (sourcenode != nullptr)
{
//复制剩下的
targetnode->next = new chainnode<T>(sourcenode->element);
targetnode = targetnode->next;
sourcenode = sourcenode->next;
}
targetnode->next = nullptr;
}

template<class T>
chain<T>::~chain()
{
//析构,删除链表所有节点
while (firstnode)
{
chainnode<T>* nextnode = firstnode->next;
delete firstnode;
firstnode = nextnode;
}
}

template<class T>
T& chain<T>::get(int theindex)const
{
//返回索引为theindex的元素
//若元素不存在就抛出异常
/*checkindex(theindex);*/

//移向所需要的节点
chainnode<T>* currentnode = firstnode;
for (int i = 0; i < theindex; i++)
currentnode = currentnode->next;
return currentnode->element;
}

template<class T>
int chain<T>::indexof(const T& theelement)const
{
//返回元素首次出现时的索引,若不存在返回-1
chainnode<T>* currentnode = firstnode;
int index = 0;
while (currentnode && currentnode->element != theelement)
{
currentnode = currentnode->next;
index++;

}
if (currentnode == nullptr)
return -1;
else
return index;
}

template<class T>
void chain<T>::erase(int theindex)
{
/*checkindex(theindex);*/

chainnode<T>* deletenode;
if (theindex == 0)
{
deletenode = firstnode;
firstnode = firstnode->next;
}
else
{
chainnode<T>* p = firstnode;
for (int i = 0; i < theindex - 1; i++)
p = p->next;
deletenode = p->next;
p->next = p->next->next;

}
listsize--;
delete deletenode;
}

template<class T>
void chain<T>::insert(int theindex, const T& theelement)
{
if (theindex<0 || theindex>listsize)
{
exit(0);
}
if (theindex == 0)
firstnode = new chainnode<T>(theelement, firstnode);
else
{
chainnode<T>* p = firstnode;
for (int i = 0; i < theindex - 1; i++)
p = p->next;
p->next = new chainnode<T>(theelement, p->next);
}
listsize++;
}

template<class T>
void chain<T>::output(ostream& out)const
{
for (chainnode<T>* currentnode = firstnode;
currentnode;
currentnode = currentnode->next)
out << currentnode->element << " ";
}

template<class T>
ostream& operator<<(ostream& out, const chain<T>& x)
{
x.output(out);
return out;
}

//将限制排序作为链表chain的一个成员方法
template<class T>
void chain<T>::binsort(int range)
{
//创建并初始化箱子
chainnode<T>** bottom, ** top;
bottom = new chainnode<T>*[range + 1];
top = new chainnode<T>*[range + 1];
for (int b = 0; b <= range; b++)
bottom[b] = nullptr;


//把链表的节点分配到箱子
for (; firstnode; firstnode = firstnode->next)
{
int thebin = firstnode->element;
if (bottom[thebin] == nullptr)
bottom[thebin] = top[thebin] = firstnode;
else
{
//箱子不空
top[thebin]->next = firstnode;
top[thebin] = firstnode;
}
}

//把箱子中的节点收集到有序链表
chainnode<T>* y = nullptr;
for (int thebin = 0; thebin <= range; thebin++)
{
if (bottom[thebin] != nullptr)
{
//箱子不空
if (y == nullptr)
firstnode = bottom[thebin];
else
y->next = bottom[thebin];
y = top[thebin];
}
}
if (y != nullptr)
y->next = nullptr;
delete[]bottom;
delete[]top;
}

inline ostream& operator<<(ostream& out, const studentrecord& x)
{
out << x.score << ' ' << *x.name << endl;
return out;
}

inline void binsort(chain<studentrecord>& thechain, int range)
{
//对箱子初始化
chain<studentrecord>* bin;
bin = new chain<studentrecord>[range + 1];

//把学生记录从链表中取出然后分配到箱子里
int numberofelements = thechain.size();
for (int i = 1; i <= numberofelements; i++)
{
studentrecord x = thechain.get(0);
thechain.erase(0);
bin[x.score].insert(0, x);
}

//“稳定排序”,取两次正好还是原来的顺序


//从箱子中收集元素
for (int j = range; j >= 0; j--)
{
while (!bin[j].empty())
{
studentrecord x = bin[j].get(0);
bin[j].erase(0);
thechain.insert(0, x);
}
}
delete[]bin;
}

4.一个简短的测试程序测试.cpp

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#include"chain.cpp"
//int main()
//{
// studentrecord i = { 99,"a" }, j = { 88,"b" }, k = { 77,"c" };
// chain<studentrecord> a, b, c;
// a.insert(0, i);
// a.insert(1, j);
// a.insert(2, k);
// binsort(a, 100);
// cout << a;
//
//}

int main(void)
{
studentrecord s;
chain<studentrecord> thechain;
for (int i = 1; i <= 20; i++)
{
s.score = i / 2;
s.name = new string(s.score, 'a');
thechain.insert(0, s);
}
cout << "The unsorted chain is" << endl;
cout << thechain << endl;
thechain.binsort(10);
cout << "The sorted chain is" << endl;
cout << thechain << endl;
}

八王后

百度找的,这个程序相当“好看”

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#include<iostream>
using namespace std;
int main()
{
int a[9][9];
int x[9];
int n, b = 0;
n = 8;
for (int i = 0;i < n;i++)
{
for (int j = 0;j < n;j++)
a[i][j] = 0;
}
for (int c = 1;c <= n;c++)
{
x[1] = c;
a[1][c] = 1;
for (int c1 = 1;c1 <= n;c1++)
{
if (c1 != c)
a[1][c1] = 0;
}
for (int d = 1;d <= n;d++)
{
x[2] = d;
a[2][d] = 1;
for (int d1 = 1;d1 <= n;d1++)
{
if (d1 != d)
a[2][d1] = 0;
}
for (int e = 1;e <= n;e++)
{
x[3] = e;
a[3][e] = 1;
for (int e1 = 1;e1 <= n;e1++)
{
if (e1 != e)
a[3][e1] = 0;
}
for (int f = 1;f <= n;f++)
{
x[4] = f;
a[4][f] = 1;
for (int f1 = 1;f1 <= n;f1++)
{
if (f1 != f)
a[4][f1] = 0;
}
for (int g = 1;g <= n;g++)
{
x[5] = g;
a[5][g] = 1;
for (int g1 = 1;g1 <= n;g1++)
{
if (g1 != g)
a[5][g1] = 0;
}
for (int h = 1;h <= n;h++)
{
x[6] = h;
a[6][h] = 1;
for (int h1 = 1;h1 <= n;h1++)
{
if (h1 != h)
a[6][h1] = 0;
}
for (int i = 1;i <= n;i++)
{
x[7] = i;
a[7][i] = 1;
for (int i1 = 1;i1 <= n;i1++)
{
if (i1 != i)
a[7][i1] = 0;
}
for (int j = 1;j <= n;j++)
{
x[8] = j;
a[8][j] = 1;
for (int j1 = 1;j1 <= n;j1++)
{
if (j1 != j)
a[8][j1] = 0;
}
if (x[1] != x[2] && x[1] != x[3] && x[1] != x[4] && x[1] != x[5] && x[1] != x[6] && x[1] != x[7] && x[1] != x[8])
{
if (x[2] != x[3] && x[2] != x[4] && x[2] != x[5] && x[2] != x[6] && x[2] != x[7] && x[2] != x[8])
{
if (x[3] != x[4] && x[3] != x[5] && x[3] != x[6] && x[3] != x[7] && x[3] != x[8])
{
if (x[4] != x[5] && x[4] != x[6] && x[4] != x[7] && x[4] != x[8])
{
if (x[5] != x[6] && x[5] != x[7] && x[5] != x[8])
{
if (x[6] != x[7] && x[6] != x[8])
{
if (x[7] != x[8])
{
if (x[1] != x[2] + 1 && x[1] != x[3] + 2 && x[1] != x[4] + 3 && x[1] != x[5] + 4 && x[1] != x[6] + 5 && x[1] != x[7] + 6 && x[1] != x[8] + 7)
{
if (x[2] != x[3] + 1 && x[2] != x[4] + 2 && x[2] != x[5] + 3 && x[2] != x[6] + 4 && x[2] != x[7] + 5 && x[2] != x[8] + 6)
{
if (x[3] != x[4] + 1 && x[3] != x[5] + 2 && x[3] != x[6] + 3 && x[3] != x[7] + 4 && x[3] != x[8] + 5)
{
if (x[4] != x[5] + 1 && x[4] != x[6] + 2 && x[4] != x[7] + 3 && x[4] != x[8] + 4)
{
if (x[5] != x[6] + 1 && x[5] != x[7] + 2 && x[5] != x[8] + 3)
{
if (x[6] != x[7] + 1 && x[6] != x[8] + 2)
{
if (x[7] != x[8] + 1)
{
if (x[1] != x[2] - 1 && x[1] != x[3] - 2 && x[1] != x[4] - 3 && x[1] != x[5] - 4 && x[1] != x[6] - 5 && x[1] != x[7] - 6 && x[1] != x[8] - 7)
{
if (x[2] != x[3] - 1 && x[2] != x[4] - 2 && x[2] != x[5] - 3 && x[2] != x[6] - 4 && x[2] != x[7] - 5 && x[2] != x[8] - 6)
{
if (x[3] != x[4] - 1 && x[3] != x[5] - 2 && x[3] != x[6] - 3 && x[3] != x[7] - 4 && x[3] != x[8] - 5)
{
if (x[4] != x[5] - 1 && x[4] != x[6] - 2 && x[4] != x[7] - 3 && x[4] != x[8] - 4)
{
if (x[5] != x[6] - 1 && x[5] != x[7] - 2 && x[5] != x[8] - 3)
{
if (x[6] != x[7] - 1 && x[6] != x[8] - 2)
{
if (x[7] != x[8] - 1)
{
b++;
cout << "--------" << b << "----------" << endl;
for (int k = 1;k <= n;k++)
{
for (int l = 1;l <= n;l++)
cout << a[k][l] << " ";
cout << endl;
}
cout << endl << endl;
}
}
}
}
}
}
}
}
}
}
}
}
}
}
}
}
}
}
}
}
}
}
}
}
}
}
}
}
}
cout << "共" << b << "种。";
system("pause");
return 0;
}

链表排序

自己做的一个链表排序

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#include<cstdlib>
#include<iostream>
#include<fstream>
#include<string>
using namespace std;
typedef struct grade
{
string number;
string name;
int chinese;
int math;
int english;
struct grade* next;
}grade;
typedef struct point
{
grade* head;
grade* tail;
grade* target1;
grade* target2;
grade* tmp1;
grade* tmp2;
grade* now;
grade* tt;
int cnt;
}point;
void 读取文件(point* p);
void 打印成绩(point* p);
void 释放空间(point* p);
void 搜索目标(point* p);
void 链表排序(point* p);
int main()
{
point point;
读取文件(&point);
打印成绩(&point);
链表排序(&point);
打印成绩(&point);
释放空间(&point);
}
void 读取文件(point* p)
{
ifstream fin("111.txt");
p->head = nullptr;
p->tail = nullptr;
p->cnt = 0;
grade* now = nullptr;
if (fin.is_open())
{
while (!fin.eof())
{
now = new grade;
fin >> now->number;
fin >> now->name;
fin >> now->chinese;
fin >> now->english;
fin >> now->math;
now->next = nullptr;
if (p->head == nullptr)
{
p->head = now;
}
else
{
p->tail->next = now;
}
p->tail = now;
(p->cnt)++;
}
fin.close();
}
else
cout << "打不开文件!";
}
void 打印成绩(point* p)
{
grade* now = p->head;
while (now)
{
cout << now->number << "\t";
cout << now->name << "\t\t";
cout << now->chinese << "\t";
cout << now->math << "\t";
cout << now->english << endl;
now = now->next;
}
cout << "共有" << p->cnt << "名学生。\n";
}
void 释放空间(point* p)
{
grade* now = p->head, * tmp = nullptr;
while (now)
{
tmp = now;
now = now->next;
delete tmp;
}
}
void 链表排序(point* p)
{
p->target1 = p->target2 = p->head;
while (p->target1)
{
p->tmp2 = p->target1;
p->target2 = p->target1->next;
p->tt = p->target1;
搜索目标(p);
if (p->target2!=p->target1)
{
if (p->target1->next == p->target2)
{
if (p->target1 == p->head)
{
p->target1->next = p->target2->next;
p->target2->next = p->target1;
p->head = p->target2;
}
else
{
p->tmp1->next = p->target2;
p->target1->next = p->target2->next;
p->target2->next = p->target1;
}
}
else
{
if (p->target1 == p->head)
{
p->target2->next = p->target1->next;
p->target1->next = p->now;
p->tmp2->next = p->target1;
p->head = p->target2;
}
else
{
p->target2->next = p->target1->next;
p->tmp1->next = p->target2;
p->tmp2->next = p->target1;
p->target1->next = p->now;
}
}
p->now = p->target1;
p->target1 = p->target2;
p->target2 = p->now;
}
p->tmp1 = p->target1;
p->target1 = p->target1->next;
}

}
void 搜索目标(point* p)
{
while (p->target2)
{
if (p->tt->chinese < p->target2->chinese)
{
p->now = p->tmp2;
p->tt = p->target2;
}
p->tmp2 = p->tmp2->next;
p->target2 = p->target2->next;
}
p->target2 = p->tt;
p->tmp2 = p->now;
p->now = p->target2->next;
}

求n个数的最大公约数

这个程序写的太好了!

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#include<stdio.h>
int gcd(int a, int b) { return b ? gcd(b, a % b) : a; }
int main()
{
int n,a,b;
scanf_s("%d%d", &n, &a);
while (--n)scanf_s("%d", &b), a = gcd(a, b);
printf("%d", a);
}

2048小游戏

基于easyx,这是我做的第一个游戏

1.2048字符版

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#include<iostream>
#include<cstdlib>
#include<ctime>
#include<conio.h>
#include<graphics.h>
int main()
{
using namespace std;
int a[6][6], 备份[6][6];
int i, j, k;
srand((int)time(0));
//初始化数组a,并且随机产生两个2
for (i = 1;i < 5;i++)
{
for (j = 1;j < 5;j++)
{
a[i][j] = 0;
备份[i][j] = 0;
}
}
for (i = 0;i < 6;i++)
{
a[i][0] = 5;
a[i][5] = 5;
a[0][i] = 5;
a[5][i] = 5;
}
int i1, i2, j1, j2;
do {
i1 = rand() % 4 + 1;
i2 = rand() % 4 + 1;
j1 = rand() % 4 + 1;
j2 = rand() % 4 + 1;
} while (i1 == i2 && j1 == j2);
a[i1][j1] = 2;
a[i2][j2] = 2;
//打印初始数组
for (i = 1;i < 5;i++)
{
for (j = 1;j < 5;j++)
{
cout << a[i][j]<<"\t";
}
cout << endl;
}
cout << endl;
//键盘输入,后,随机一个格子生成一个数字
int ch, ch1, flag, tmp = 0, 为了符合规则[6][6];// 4 4 2 2 动过的不再动
while (1)
{
for (i = 0;i < 6;i++)
{
for (j = 0;j < 6;j++)
{
为了符合规则[i][j] = 0;
}
}
if (_kbhit)
{
ch1 = _getch();
ch = _getch();
//右移
if ((ch1 == 224 && ch == 77) || (ch == 228 && ch1 == 163))
{
for (i = 1;i <= 4;i++)
{
for (j = 3;j >= 1;j--)
{
if (a[i][j] != 0)
{
flag = j;
for (k = j + 1;k <= 4;k++)
{
if (a[i][k] == 0)
flag = k;
else
break;
}
//交换aij和aiflag;
if (a[i][flag + 1] == a[i][j]&&为了符合规则[i][flag+1]==0)
{
a[i][flag + 1] *= 2;
a[i][j] = 0;
为了符合规则[i][flag + 1] = 1;
}
else
{
tmp = a[i][j];
a[i][j] = a[i][flag];
a[i][flag] = tmp;
}
}
}
}
}
//下移
if ((ch1 == 224 && ch == 80) || (ch == 243 && ch1 == 163))
{
for (j = 1;j <= 4;j++)
{
for (i = 3;i >= 1;i--)
{
if (a[i][j] != 0)
{
flag = i;
for (k = i + 1;k <=4;k++)
{
if (a[k][j] == 0)
flag = k;
else
break;
}
/*if (a[i][j] == a[i][j - 1])
{
a[i][j- 1] *= 2;
a[i][j] = 0;
}*/
//交换aij和aiflag;
if (a[flag + 1][j] == a[i][j] && 为了符合规则[flag + 1][j] == 0)
{
a[flag + 1][j] *= 2;
为了符合规则[flag + 1][j] = 1;
a[i][j] = 0;
}
else
{
tmp = a[i][j];
a[i][j] = a[flag][j];
a[flag][j] = tmp;
}
}
}
}
}
//上移
if ((ch1 == 224 && ch == 72) || (ch == 247 && ch1 == 163))
{
for (j = 1;j <= 4;j++)
{
for (i = 2;i <= 4;i++)
{
if (a[i][j] != 0)
{
flag = i;
for (k = i - 1;k >= 1;k--)
{
if (a[k][j] == 0)
flag = k;
else
break;
}
/*if (a[i][j] == a[i][j - 1])
{
a[i][j- 1] *= 2;
a[i][j] = 0;
}*/
//交换aij和aiflag;
if (a[flag - 1][j] == a[i][j] && 为了符合规则[flag - 1][j] == 0)
{
a[flag - 1][j] *= 2;
为了符合规则[flag - 1][j] = 1;
a[i][j] = 0;
}
else
{
tmp = a[i][j];
a[i][j] = a[flag][j];
a[flag][j] = tmp;
}
}
}
}
}
//左移
if ((ch1 == 224 && ch == 75) || (ch == 225 && ch1 == 163))
{
for (i = 1;i <= 4;i++)
{
for (j = 2;j <= 4;j++)
{
if (a[i][j] != 0)
{
flag = j;
for (k = j - 1;k >= 1;k--)
{
if (a[i][k] == 0)
flag = k;
else
break;
}
/*if (a[i][j] == a[i][j - 1])
{
a[i][j- 1] *= 2;
a[i][j] = 0;
}*/
//交换aij和aiflag;
if (a[i][flag - 1] == a[i][j] && 为了符合规则[i][flag - 1] == 0)
{
a[i][flag - 1] *= 2;
为了符合规则[i][flag - 1] = 1;
a[i][j] = 0;
}
else
{
tmp = a[i][j];
a[i][j] = a[i][flag];
a[i][flag] = tmp;
}
}
}
}
}
}
//空余位置随机生成一个2或者4
int i3, j3, kk;
do
{
i3 = rand() % 4 + 1;
j3 = rand() % 4 + 1;
} while (a[i3][j3] != 0);
kk = rand() % 2;
if (kk == 1)
a[i3][j3] = 2;
else
a[i3][j3] = 4;

//打印a数组
for (i = 1;i < 5;i++)
{
for (j = 1;j < 5;j++)
{
cout << a[i][j] << "\t";
}
cout << endl;
}
cout << endl;
}
}

2.2048图像版

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#include<iostream>
#include<cstdlib>
#include<ctime>
#include<conio.h>
#include<graphics.h>
void 初始化屏幕()
{
initgraph(1000, 1000);
setbkcolor(WHITE);
cleardevice();
int i, j;
setcolor(BLACK);
setfillcolor(YELLOW);
for (i = 100;i < 500;i+=100)
{
for (j = 100;j < 500;j+=100)
{
rectangle(i, j, 100+i, j+100);
fillrectangle(i, j, 100 + i, j + 100);
}
}
settextstyle(25, 25, _T("隶书"));
setbkmode(TRANSPARENT);
BeginBatchDraw();
}
int main()
{
using namespace std;
初始化屏幕();
int a[6][6], 备份[6][6];
int i, j, k;
srand((int)time(0));
//初始化数组a,并且随机产生两个2
for (i = 1;i < 5;i++)
{
for (j = 1;j < 5;j++)
{
a[i][j] = 0;
备份[i][j] = 0;
}
}
for (i = 0;i < 6;i++)
{
a[i][0] = 5;
a[i][5] = 5;
a[0][i] = 5;
a[5][i] = 5;
}
int i1, i2, j1, j2;
do {
i1 = rand() % 4 + 1;
i2 = rand() % 4 + 1;
j1 = rand() % 4 + 1;
j2 = rand() % 4 + 1;
} while (i1 == i2 && j1 == j2);
a[i1][j1] = 2;
a[i2][j2] = 2;
//打印初始数组
for (i = 1;i < 5;i++)
{
for (j = 1;j < 5;j++)
{
if (a[i][j] != 0)
{
TCHAR s[5];
_stprintf_s(s, _T("%d"), a[i][j]);
/*outtextxy(j * 100 + 25, i * 100 + 25, s);*/
RECT r = { 100 * j, 100 * i, 100 + 100 * j, 100 + 100 * i };
drawtext(s, &r, DT_CENTER | DT_VCENTER | DT_SINGLELINE);
}
}
}
FlushBatchDraw();
//键盘输入,后,随机一个格子生成一个数字
int ch, ch1, flag, tmp = 0, 为了符合规则[6][6],旗子;// 4 4 2 2 动过的不再动
while (1)
{
旗子 = 1;
for (i = 0;i < 6;i++)
{
for (j = 0;j < 6;j++)
{
备份[i][j] = a[i][j];
}
}
for (i = 0;i < 6;i++)
{
for (j = 0;j < 6;j++)
{
为了符合规则[i][j] = 0;
}
}
if (_kbhit)
{
ch1 = _getch();
ch = _getch();
//右移
if ((ch1 == 224 && ch == 77) || (ch == 228 && ch1 == 163))
{
for (i = 1;i <= 4;i++)
{
for (j = 3;j >= 1;j--)
{
if (a[i][j] != 0)
{
flag = j;
for (k = j + 1;k <= 4;k++)
{
if (a[i][k] == 0)
flag = k;
else
break;
}
//交换aij和aiflag;
if (a[i][flag + 1] == a[i][j] && 为了符合规则[i][flag + 1] == 0)
{
a[i][flag + 1] *= 2;
a[i][j] = 0;
为了符合规则[i][flag + 1] = 1;
}
else
{
tmp = a[i][j];
a[i][j] = a[i][flag];
a[i][flag] = tmp;
}
}
}
}
}
//下移
if ((ch1 == 224 && ch == 80) || (ch == 243 && ch1 == 163))
{
for (j = 1;j <= 4;j++)
{
for (i = 3;i >= 1;i--)
{
if (a[i][j] != 0)
{
flag = i;
for (k = i + 1;k <= 4;k++)
{
if (a[k][j] == 0)
flag = k;
else
break;
}
/*if (a[i][j] == a[i][j - 1])
{
a[i][j- 1] *= 2;
a[i][j] = 0;
}*/
//交换aij和aiflag;
if (a[flag + 1][j] == a[i][j] && 为了符合规则[flag + 1][j] == 0)
{
a[flag + 1][j] *= 2;
为了符合规则[flag + 1][j] = 1;
a[i][j] = 0;
}
else
{
tmp = a[i][j];
a[i][j] = a[flag][j];
a[flag][j] = tmp;
}
}
}
}
}
//上移
if ((ch1 == 224 && ch == 72) || (ch == 247 && ch1 == 163))
{
for (j = 1;j <= 4;j++)
{
for (i = 2;i <= 4;i++)
{
if (a[i][j] != 0)
{
flag = i;
for (k = i - 1;k >= 1;k--)
{
if (a[k][j] == 0)
flag = k;
else
break;
}
/*if (a[i][j] == a[i][j - 1])
{
a[i][j- 1] *= 2;
a[i][j] = 0;
}*/
//交换aij和aiflag;
if (a[flag - 1][j] == a[i][j] && 为了符合规则[flag - 1][j] == 0)
{
a[flag - 1][j] *= 2;
为了符合规则[flag - 1][j] = 1;
a[i][j] = 0;
}
else
{
tmp = a[i][j];
a[i][j] = a[flag][j];
a[flag][j] = tmp;
}
}
}
}
}
//左移
if ((ch1 == 224 && ch == 75) || (ch == 225 && ch1 == 163))
{
for (i = 1;i <= 4;i++)
{
for (j = 2;j <= 4;j++)
{
if (a[i][j] != 0)
{
flag = j;
for (k = j - 1;k >= 1;k--)
{
if (a[i][k] == 0)
flag = k;
else
break;
}
/*if (a[i][j] == a[i][j - 1])
{
a[i][j- 1] *= 2;
a[i][j] = 0;
}*/
//交换aij和aiflag;
if (a[i][flag - 1] == a[i][j] && 为了符合规则[i][flag - 1] == 0)
{
a[i][flag - 1] *= 2;
为了符合规则[i][flag - 1] = 1;
a[i][j] = 0;
}
else
{
tmp = a[i][j];
a[i][j] = a[i][flag];
a[i][flag] = tmp;
}
}
}
}
}
}
for (i = 0;i < 6;i++)
{
for (j = 0;j < 6;j++)
{
if (备份[i][j] == a[i][j])
旗子 = 1;
else
{
旗子 = 0;
break;
}
}
if (旗子 == 0)
break;
}
//空余位置随机生成一个2或者4
int i3, j3, kk;
if (旗子 == 0)
{
do
{
i3 = rand() % 4 + 1;
j3 = rand() % 4 + 1;
} while (a[i3][j3] != 0);
kk = rand() % 2;
if (kk == 1)
a[i3][j3] = 2;
else
a[i3][j3] = 4;
}
cleardevice();
setcolor(BLACK);
setfillcolor(YELLOW);
for (i = 100;i < 500;i += 100)
{
for (j = 100;j < 500;j += 100)
{
rectangle(i, j, 100 + i, j + 100);
fillrectangle(i, j, 100 + i, j + 100);
}
}
//打印a数组
for (i = 1;i < 5;i++)
{
for (j = 1;j < 5;j++)
{
if (a[i][j] != 0)
{
TCHAR s[5];
_stprintf_s(s, _T("%d"), a[i][j]);
/*outtextxy(j * 100 + 25, i * 100 + 25, s);*/
RECT r = { 100 * j, 100 * i, 100 + 100 * j, 100 + 100 * i };
drawtext(s, &r, DT_CENTER | DT_VCENTER | DT_SINGLELINE);
}
}
}
FlushBatchDraw();
}
return 0;
}

3.2048最终版

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#include<iostream>
#include<cstdlib>
#include<ctime>
#include<conio.h>
#include<graphics.h>
void 初始化屏幕()
{
initgraph(1000, 1000);
setbkcolor(WHITE);
cleardevice();
int i, j;
setcolor(BLACK);
setfillcolor(YELLOW);
for (i = 100;i < 500;i += 100)
{
for (j = 100;j < 500;j += 100)
{
rectangle(i, j, 100 + i, j + 100);
fillrectangle(i, j, 100 + i, j + 100);
}
}
settextstyle(30, 20, _T("隶书"));
setbkmode(TRANSPARENT);
/*settextcolor(BLUE);*/
BeginBatchDraw();
}
void 初始化数组a(int a[6][6],int 备份[6][6])
{
int i, j;
for (i = 1;i < 5;i++)
{
for (j = 1;j < 5;j++)
{
a[i][j] = 0;
备份[i][j] = 0;
}
}
for (i = 0;i < 6;i++)
{
a[i][0] = 5;
a[i][5] = 5;
a[0][i] = 5;
a[5][i] = 5;
}
int i1, i2, j1, j2;
do {
i1 = rand() % 4 + 1;
i2 = rand() % 4 + 1;
j1 = rand() % 4 + 1;
j2 = rand() % 4 + 1;
} while (i1 == i2 && j1 == j2);
a[i1][j1] = 2;
a[i2][j2] = 2;
}
void 打印a数组(int a[6][6])
{
int i, j;
for (i = 1;i < 5;i++)
{
for (j = 1;j < 5;j++)
{
if (a[i][j] != 0)
{
TCHAR s[5];
_stprintf_s(s, _T("%d"), a[i][j]);
/*outtextxy(j * 100 + 25, i * 100 + 25, s);*/
RECT r = { 100 * j, 100 * i, 100 + 100 * j, 100 + 100 * i };
drawtext(s, &r, DT_CENTER | DT_VCENTER | DT_SINGLELINE);
}
}
}
FlushBatchDraw();
}
void 备份并初始化计数器(int a[6][6],int 计数器[6][6], int 备份[6][6])
{
int i,j;
for (i = 0;i < 6;i++)
{
for (j = 0;j < 6;j++)
{
备份[i][j] = a[i][j];
}
}
for (i = 0;i < 6;i++)
{
for (j = 0;j < 6;j++)
{
计数器[i][j] = 0;
}
}
}
void 键盘控制和游戏规则(int a[6][6],int 计数器[6][6])
{
int ch, ch1, flag, tmp = 0,i,j,k;
if (_kbhit)
{
ch1 = _getch();
ch = _getch();
//右移
if ((ch1 == 224 && ch == 77) || (ch == 228 && ch1 == 163))
{
for (i = 1;i <= 4;i++)
{
for (j = 3;j >= 1;j--)
{
if (a[i][j] != 0)
{
flag = j;
for (k = j + 1;k <= 4;k++)
{
if (a[i][k] == 0)
flag = k;
else
break;
}
//交换aij和aiflag;
if (a[i][flag + 1] == a[i][j] && 计数器[i][flag + 1] == 0)
{
a[i][flag + 1] *= 2;
a[i][j] = 0;
计数器[i][flag + 1] = 1;
}
else
{
tmp = a[i][j];
a[i][j] = a[i][flag];
a[i][flag] = tmp;
}
}
}
}
}
//下移
if ((ch1 == 224 && ch == 80) || (ch == 243 && ch1 == 163))
{
for (j = 1;j <= 4;j++)
{
for (i = 3;i >= 1;i--)
{
if (a[i][j] != 0)
{
flag = i;
for (k = i + 1;k <= 4;k++)
{
if (a[k][j] == 0)
flag = k;
else
break;
}
/*if (a[i][j] == a[i][j - 1])
{
a[i][j- 1] *= 2;
a[i][j] = 0;
}*/
//交换aij和aiflag;
if (a[flag + 1][j] == a[i][j] && 计数器[flag + 1][j] == 0)
{
a[flag + 1][j] *= 2;
计数器[flag + 1][j] = 1;
a[i][j] = 0;
}
else
{
tmp = a[i][j];
a[i][j] = a[flag][j];
a[flag][j] = tmp;
}
}
}
}
}
//上移
if ((ch1 == 224 && ch == 72) || (ch == 247 && ch1 == 163))
{
for (j = 1;j <= 4;j++)
{
for (i = 2;i <= 4;i++)
{
if (a[i][j] != 0)
{
flag = i;
for (k = i - 1;k >= 1;k--)
{
if (a[k][j] == 0)
flag = k;
else
break;
}
/*if (a[i][j] == a[i][j - 1])
{
a[i][j- 1] *= 2;
a[i][j] = 0;
}*/
//交换aij和aiflag;
if (a[flag - 1][j] == a[i][j] && 计数器[flag - 1][j] == 0)
{
a[flag - 1][j] *= 2;
计数器[flag - 1][j] = 1;
a[i][j] = 0;
}
else
{
tmp = a[i][j];
a[i][j] = a[flag][j];
a[flag][j] = tmp;
}
}
}
}
}
//左移
if ((ch1 == 224 && ch == 75) || (ch == 225 && ch1 == 163))
{
for (i = 1;i <= 4;i++)
{
for (j = 2;j <= 4;j++)
{
if (a[i][j] != 0)
{
flag = j;
for (k = j - 1;k >= 1;k--)
{
if (a[i][k] == 0)
flag = k;
else
break;
}
/*if (a[i][j] == a[i][j - 1])
{
a[i][j- 1] *= 2;
a[i][j] = 0;
}*/
//交换aij和aiflag;
if (a[i][flag - 1] == a[i][j] && 计数器[i][flag - 1] == 0)
{
a[i][flag - 1] *= 2;
计数器[i][flag - 1] = 1;
a[i][j] = 0;
}
else
{
tmp = a[i][j];
a[i][j] = a[i][flag];
a[i][flag] = tmp;
}
}
}
}
}
}
}
int 数据备份并判断有无变化(int a[6][6],int 备份[6][6],int 旗子)
{
int i, j;
for (i = 0;i < 6;i++)
{
for (j = 0;j < 6;j++)
{
if (备份[i][j] == a[i][j])
旗子 = 1;
else
{
旗子 = 0;
break;
}
}
if (旗子 == 0)
break;
}
return 旗子;
}
void 空余位置随机生成一个2或者4(int a[6][6],int 旗子)
{
int i3, j3, kk;
if (旗子 == 0)
{
do
{
i3 = rand() % 4 + 1;
j3 = rand() % 4 + 1;
} while (a[i3][j3] != 0);
kk = rand() % 2;
if (kk == 1)
a[i3][j3] = 2;
else
a[i3][j3] = 4;
}
}
void 重新绘制屏幕()
{
int i, j;
cleardevice();
setcolor(BLACK);
setfillcolor(YELLOW);
for (i = 100;i < 500;i += 100)
{
for (j = 100;j < 500;j += 100)
{
rectangle(i, j, 100 + i, j + 100);
fillrectangle(i, j, 100 + i, j + 100);
}
}
FlushBatchDraw();
}
int main()
{
using namespace std;
初始化屏幕();
int a[6][6], 备份[6][6],计数器[6][6], 旗子;
srand((int)time(0));
初始化数组a(a, 备份);
打印a数组(a);
while (1)
{
旗子 = 1;
备份并初始化计数器(a, 计数器, 备份);
键盘控制和游戏规则(a, 计数器);
旗子 = 数据备份并判断有无变化(a, 备份, 旗子);
空余位置随机生成一个2或者4(a,旗子);
重新绘制屏幕();
打印a数组(a);
}
return 0;
}

4.2048优化版

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#include<iostream>
#include<cstdlib>
#include<ctime>
#include<conio.h>
#include<graphics.h>
#include<cmath>
int 判断aij是2的几次方(int tt)
{
int i, sum = 1, cnt = 0;
if (tt == 0)
return 0;
for (i = 1;;i++)
{
sum *= 2;
cnt++;
if (sum == tt)
break;
}
return cnt;
}
void 初始化屏幕(int a[6][6])
{
initgraph(1000, 1000);
setbkcolor(WHITE);
cleardevice();
int i, j,tt,cnt;
setcolor(WHITE);
settextcolor(RED);
for (i = 1;i < 5;i ++)
{
for (j = 1;j < 5;j ++)
{
tt = a[i][j];
cnt=判断aij是2的几次方(tt);
setfillcolor(RGB(100, 255, 20 * cnt));
rectangle(j * 100, i * 100, 100 + j * 100, i * 100 + 100);
fillrectangle(j*100, i*100, 100 + j*100, i*100 + 100);
}
}
settextstyle(30, 20, _T("隶书"));
setbkmode(TRANSPARENT);
/*settextcolor(BLUE);*/
BeginBatchDraw();
}
void 初始化数组a(int a[6][6], int 备份[6][6])
{
int i, j;
for (i = 1;i < 5;i++)
{
for (j = 1;j < 5;j++)
{
a[i][j] = 0;
备份[i][j] = 0;
}
}
for (i = 0;i < 6;i++)
{
a[i][0] = 5;
a[i][5] = 5;
a[0][i] = 5;
a[5][i] = 5;
}
int i1, i2, j1, j2;
do {
i1 = rand() % 4 + 1;
i2 = rand() % 4 + 1;
j1 = rand() % 4 + 1;
j2 = rand() % 4 + 1;
} while (i1 == i2 && j1 == j2);
a[i1][j1] = 2;
a[i2][j2] = 2;
}
void 打印a数组(int a[6][6])
{
int i, j;
for (i = 1;i < 5;i++)
{
for (j = 1;j < 5;j++)
{
if (a[i][j] != 0)
{
TCHAR s[5];
_stprintf_s(s, _T("%d"), a[i][j]);
/*outtextxy(j * 100 + 25, i * 100 + 25, s);*/
RECT r = { 100 * j, 100 * i, 100 + 100 * j, 100 + 100 * i };
drawtext(s, &r, DT_CENTER | DT_VCENTER | DT_SINGLELINE);
}
}
}
FlushBatchDraw();
}
void 备份并初始化计数器(int a[6][6], int 计数器[6][6], int 备份[6][6])
{
int i, j;
for (i = 0;i < 6;i++)
{
for (j = 0;j < 6;j++)
{
备份[i][j] = a[i][j];
}
}
for (i = 0;i < 6;i++)
{
for (j = 0;j < 6;j++)
{
计数器[i][j] = 0;
}
}
}
void 键盘控制和游戏规则(int a[6][6], int 计数器[6][6])
{
int ch, ch1, flag, tmp = 0, i, j, k;
if (_kbhit)
{
ch1 = _getch();
ch = _getch();
//右移
if ((ch1 == 224 && ch == 77) || (ch == 228 && ch1 == 163))
{
for (i = 1;i <= 4;i++)
{
for (j = 3;j >= 1;j--)
{
if (a[i][j] != 0)
{
flag = j;
for (k = j + 1;k <= 4;k++)
{
if (a[i][k] == 0)
flag = k;
else
break;
}
//交换aij和aiflag;
if (a[i][flag + 1] == a[i][j] && 计数器[i][flag + 1] == 0)
{
a[i][flag + 1] *= 2;
a[i][j] = 0;
计数器[i][flag + 1] = 1;
}
else
{
tmp = a[i][j];
a[i][j] = a[i][flag];
a[i][flag] = tmp;
}
}
}
}
}
//下移
if ((ch1 == 224 && ch == 80) || (ch == 243 && ch1 == 163))
{
for (j = 1;j <= 4;j++)
{
for (i = 3;i >= 1;i--)
{
if (a[i][j] != 0)
{
flag = i;
for (k = i + 1;k <= 4;k++)
{
if (a[k][j] == 0)
flag = k;
else
break;
}
/*if (a[i][j] == a[i][j - 1])
{
a[i][j- 1] *= 2;
a[i][j] = 0;
}*/
//交换aij和aiflag;
if (a[flag + 1][j] == a[i][j] && 计数器[flag + 1][j] == 0)
{
a[flag + 1][j] *= 2;
计数器[flag + 1][j] = 1;
a[i][j] = 0;
}
else
{
tmp = a[i][j];
a[i][j] = a[flag][j];
a[flag][j] = tmp;
}
}
}
}
}
//上移
if ((ch1 == 224 && ch == 72) || (ch == 247 && ch1 == 163))
{
for (j = 1;j <= 4;j++)
{
for (i = 2;i <= 4;i++)
{
if (a[i][j] != 0)
{
flag = i;
for (k = i - 1;k >= 1;k--)
{
if (a[k][j] == 0)
flag = k;
else
break;
}
/*if (a[i][j] == a[i][j - 1])
{
a[i][j- 1] *= 2;
a[i][j] = 0;
}*/
//交换aij和aiflag;
if (a[flag - 1][j] == a[i][j] && 计数器[flag - 1][j] == 0)
{
a[flag - 1][j] *= 2;
计数器[flag - 1][j] = 1;
a[i][j] = 0;
}
else
{
tmp = a[i][j];
a[i][j] = a[flag][j];
a[flag][j] = tmp;
}
}
}
}
}
//左移
if ((ch1 == 224 && ch == 75) || (ch == 225 && ch1 == 163))
{
for (i = 1;i <= 4;i++)
{
for (j = 2;j <= 4;j++)
{
if (a[i][j] != 0)
{
flag = j;
for (k = j - 1;k >= 1;k--)
{
if (a[i][k] == 0)
flag = k;
else
break;
}
/*if (a[i][j] == a[i][j - 1])
{
a[i][j- 1] *= 2;
a[i][j] = 0;
}*/
//交换aij和aiflag;
if (a[i][flag - 1] == a[i][j] && 计数器[i][flag - 1] == 0)
{
a[i][flag - 1] *= 2;
计数器[i][flag - 1] = 1;
a[i][j] = 0;
}
else
{
tmp = a[i][j];
a[i][j] = a[i][flag];
a[i][flag] = tmp;
}
}
}
}
}
}
}
int 数据备份并判断有无变化(int a[6][6], int 备份[6][6], int 旗子)
{
int i, j;
for (i = 0;i < 6;i++)
{
for (j = 0;j < 6;j++)
{
if (备份[i][j] == a[i][j])
旗子 = 1;
else
{
旗子 = 0;
break;
}
}
if (旗子 == 0)
break;
}
return 旗子;
}
void 空余位置随机生成一个2或者4(int a[6][6], int 旗子)
{
int i3, j3, kk;
if (旗子 == 0)
{
do
{
i3 = rand() % 4 + 1;
j3 = rand() % 4 + 1;
} while (a[i3][j3] != 0);
kk = rand() % 2;
if (kk == 1)
a[i3][j3] = 2;
else
a[i3][j3] = 4;
}
}
void 重新绘制屏幕(int a[6][6])
{
int i, j,tt,cnt;
cleardevice();
setcolor(WHITE);
settextcolor(RED);
for (i = 1;i < 5;i++)
{
for (j = 1;j < 5;j++)
{
tt = a[i][j];
cnt = 判断aij是2的几次方(tt);
setfillcolor(RGB(100, 255, 20 * cnt));
rectangle(j * 100, i * 100, 100 + j * 100, i * 100 + 100);
fillrectangle(j * 100, i * 100, 100 + j * 100, i * 100 + 100);
}
}
FlushBatchDraw();
}
int main()
{
using namespace std;
int a[6][6], 备份[6][6], 计数器[6][6], 旗子;
srand((int)time(0));
初始化数组a(a, 备份);
初始化屏幕(a);
打印a数组(a);
while (1)
{
旗子 = 1;
备份并初始化计数器(a, 计数器, 备份);
键盘控制和游戏规则(a, 计数器);
旗子 = 数据备份并判断有无变化(a, 备份, 旗子);
空余位置随机生成一个2或者4(a, 旗子);
重新绘制屏幕(a);
打印a数组(a);
}
return 0;
}

似乎只改动了颜色

矩阵计算器

线代必备工具

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#include<cstdio>
#include<cstdlib>
#include<time.h>
#include<graphics.h>
#include<conio.h>
#include<fstream>
#include<string>
#include<iostream>
double** 生成矩阵(double** a, int* r, int* c);
double 计算行列式(double** a, int n);
void 打开菜单();
int 执行程序();
void 写入文件(double** a, int r1, int c1, double** d, int r2, int c2, std::string name);
void 写入逆矩阵(double** a, double** d, int r, std::string name);
void 写入行列式(double** a, int r, double ss);
void 写入秩(double** a, int r1, int c1, int 秩);
void 写入加减法(double** a, int r1, int c1, double** b, double** d, int r, int c, int sign);
void 写入乘法(double** a, int r1, int c1, double** b, int r2, int c2, double** d);
void 读取文件();
void 矩阵转置(double** a, int r, int c);
void 矩阵加减法(double** a, double** b, int r1, int c1, int r2, int c2, int sign);
void 矩阵数乘(double** a, int r, int c);
void 矩阵乘法(double** a, double** b, int r1, int c1, int r2, int c2);
int 矩阵化简(double** a, int r, int c, int sign);
void 矩阵求逆(double** a, int r);
void 打印d数组(double** d, int r, int c);
void 打印d数组(double** d, int r);
void 内存释放(double** d, int r);
int main()
{
int 开始; do { 打开菜单(); 开始 = 执行程序(); } while (开始 == 0);
}
void 矩阵转置(double** a, int r, int c)
{
double** d = NULL;
d = new double* [c];
for (int i = 0; i < c; i++) { d[i] = new double[r]; }
for (int i = 0; i < r; i++)
{
for (int j = 0; j < c; j++)
{
d[j][i] = a[i][j];
}
}
打印d数组(d, c, r);
写入文件(a, r, c, d, c, r, "的转置为:");
内存释放(d, c);
}
void 矩阵加减法(double** a, double** b, int r1, int c1, int r2, int c2, int sign)
{
if (r1 == r2 && c1 == c1)
{
double** d = NULL;
d = new double* [r1];
for (int i = 0; i < r1; i++) { d[i] = new double[c1]; }
for (int i = 0; i < r1; i++)
{
for (int j = 0; j < c1; j++)
{
d[i][j] = a[i][j] + b[i][j] * sign;
}
}
打印d数组(d, r1, c1);
写入加减法(a, r1, c1, b, d, r1, c1, sign);
内存释放(d, r1);
}
else
printf("这两个矩阵不可以这样运算!");
}
void 矩阵数乘(double** a, int r, int c)
{
double** d = NULL;
d = new double* [r];
for (int i = 0; i < r; i++) { d[i] = new double[c]; }
int k;
printf("请输入数值:");
scanf_s("%d", &k);
for (int i = 0; i < r; i++)
{
for (int j = 0; j < c; j++)
{
d[i][j] = k * a[i][j];
}
}
打印d数组(d, r, c);
std::to_string(k);
std::string name = "数乘" + std::to_string(k) + "的结果为:";
写入文件(a, r, c, d, r, c, name);
内存释放(d, r);
}
void 矩阵乘法(double** a, double** b, int r1, int c1, int r2, int c2)
{
if (r2 == c1)
{
double** d = NULL, sum;
d = new double* [r1];
for (int i = 0; i < r1; i++) { d[i] = new double[c2]; }
for (int i = 0; i < r1; i++)
{
for (int j = 0; j < c2; j++)
{
sum = 0;
for (int k = 0; k < c1; k++)
{
sum += a[i][k] * b[k][j];
}
d[i][j] = sum;
}
}
打印d数组(d, r1, c2);
写入乘法(a, r1, c1, b, r2, c2, d);
内存释放(d, r1);
}
else
printf("这两个矩阵不能相乘!");
}
int 矩阵化简(double** a, int r, int c, int sign)
{
double** d;
d = new double* [r];
for (int i = 0; i < r; i++) { d[i] = new double[c]; }
for (int i = 0; i < r; i++)
{
for (int j = 0; j < c; j++)
{
d[i][j] = a[i][j];
}
}
//起始行列
int cnt = 0;
int cct = 0;
int flag;
double t;
while (cnt <= r && cct <= c)
{
flag = -1;
for (int i = cnt; i < r; i++)
{
if (d[i][cct] != 0)
{
flag = i;
break;
}
}
if (flag == -1)
{
cct++;
continue;
}
//交换两行;
if (flag != cnt)
{
double tmp = 0;
for (int j = cct; j < c; j++)
{
tmp = d[flag][j];
d[flag][j] = d[cnt][j];
d[cnt][j] = tmp;
}
}
//化第一行首个为1
t = d[cnt][cct];
for (int j = cct; j < c; j++)
{
d[cnt][j] /= t;
}
for (int i = cnt + 1; i < r; i++)
{
if (d[i][cct] != 0)
{
t = d[i][cct];
for (int j = cct; j < c; j++)
{
d[i][j] = d[i][j] - d[cnt][j] * t;
}
}
}
cnt++;
cct++;
}
for (int i = r - 1; i > 0; i--)
{
flag = -1;
for (int j = 0; j < c; j++)
{
if (d[i][j] != 0)
{
flag = j;
break;
}
}
if (flag != -1)
{
for (int k = i - 1; k >= 0; k--)
{
t = d[k][flag];
for (int j = 0; j < c; j++)
{
d[k][j] = d[k][j] - t * d[i][j];
}
}
}
}
int number = 0;
for (int i = 0; i < r; i++)
{
for (int j = 0; j < c; j++)
{
if (d[i][j] != 0)
{
number++;
break;
}
}
}
if (sign == 0)
{

打印d数组(d, r, c);
写入文件(a, r, c, d, r, c, "的化简结果为:");
}
else
{
打印d数组(d, r);
写入逆矩阵(a, d,r, "的逆矩阵为: ");
}

内存释放(d, r);
return number;
}
void 矩阵求逆(double** a, int r)
{
if (计算行列式(a, r) != 0)
{
double** d;
d = new double* [r];
for (int i = 0; i < r; i++) { d[i] = new double[2 * r]; }
for (int i = 0; i < r; i++)
{
for (int j = 0; j < r; j++)
{
d[i][j] = a[i][j];
}
for (int j = r; j < 2 * r; j++)
{
if (i == j - r)
d[i][j] = 1;
else
d[i][j] = 0;
}
}
矩阵化简(d, r, 2 * r, 1);
内存释放(d, r);
}
else
printf("这个矩阵不可逆!");

}
void 打印d数组(double** d, int r, int c)
{
printf("结果如下:\n");
for (int i = 0; i < r; i++)
{
for (int j = 0; j < c; j++)
{
if ((int)(d[i][j] * 100) % 100 == 0)
printf("%d\t", (int)d[i][j]);
else
printf("%.2lf\t", d[i][j]);
}
printf("\n");
}
}
void 打印d数组(double** d, int r)
{
printf("结果如下:\n");
for (int i = 0; i < r; i++)
{
for (int j = r; j < 2 * r; j++)
{
if ((int)(d[i][j] * 100) % 100 == 0)
printf("%d\t", (int)d[i][j]);
else
printf("%.2lf\t", d[i][j]);
}
printf("\n");
}
}
double 计算行列式(double** a, int n)
{
double** d;
d = new double* [n];
for (int i = 0; i < n; i++) { d[i] = new double[n]; }
for (int i = 0; i < n; i++)
{
for (int j = 0; j < n; j++)
{
d[j][i] = a[i][j];
}
}
int flag = -1;
for (int i = 0; i < n; i++)
{
if (d[i][0] != 0)
{
flag = i;
break;
}
}
if (flag != 0)
{
double tmp = 0;
for (int j = 0; j < n; j++)
{
tmp = d[flag][j];
d[flag][j] = d[0][j];
d[0][j] = tmp;
}
}
double tmp;
for (int k = 1; k < n; k++)
{
for (int i = k; i < n; i++)
{
tmp = d[i][k - 1] / d[k - 1][k - 1];
for (int j = k - 1; j < n; j++)
{
d[i][j] = d[i][j] - tmp * d[k - 1][j];
}
}
}
double ss = 1;
for (int i = 0; i < n; i++)
{
ss *= d[i][i];
}
写入行列式(a, n, ss);
内存释放(d, n);
return ss;
}
double** 生成矩阵(double** a, int* r, int* c)
{
printf("请输入矩阵的行数,列数:");
scanf_s("%d%d", r, c);
printf("请输入矩阵:\n");
a = new double* [*r];
for (int i = 0; i < *r; i++) { a[i] = new double[*c]; }
for (int i = 0; i < *r; i++)
{
for (int j = 0; j < *c; j++)
{
scanf_s("%lf", &a[i][j]);
}
}
return a;
}
void 打开菜单()
{
printf("=======================================================================\n");
printf("| ----------1|我要求矩阵的加法 ----------- |\n");
printf("| ----------2|我要求矩阵的减法 ----------- |\n");
printf("| ----------3|我要求矩阵的转置 ----------- |\n");
printf("| ----------4|我要求矩阵的逆矩阵----------- |\n");
printf("| ----------5|我要求最简行矩阵 ----------- |\n");
printf("| ----------6|我要求矩阵的数乘 ----------- |\n");
printf("| ----------7|我要求矩阵的乘法 ----------- |\n");
printf("| ----------8|我要求矩阵的秩 ----------- |\n");
printf("| ----------9|我要计算行列式的值----------- |\n");
printf("| ----------0|读取计算结果文件 ----------- |\n");
printf("| ----------QAQ|输入字母可以退出----------- |\n");
printf("=======================================================================\n");
}
int 执行程序()
{
double** a = NULL, ** b = NULL;
int r1, c1, r2, c2;
char ch;
switch (ch = getchar())
{
case'1':
{
a = 生成矩阵(a, &r1, &c1);
b = 生成矩阵(b, &r2, &c2);
矩阵加减法(a, b, r1, c1, r2, c2, 1);
内存释放(a, r1);
内存释放(b, r2);
break;
}
case'2':
{
a = 生成矩阵(a, &r1, &c1);
b = 生成矩阵(b, &r2, &c2);
矩阵加减法(a, b, r1, c1, r2, c2, -1);
内存释放(a, r1);
内存释放(b, r2);
break;
}
case'3':
{
a = 生成矩阵(a, &r1, &c1);
矩阵转置(a, r1, c1);
内存释放(a, r1);
break;
}
case'4':
{
a = 生成矩阵(a, &r1, &c1);
矩阵求逆(a, r1);
内存释放(a, r1);
break;
}
case'5':
{
a = 生成矩阵(a, &r1, &c1);
矩阵化简(a, r1, c1, 0);
内存释放(a, r1);
break;
}
case'6':
{
a = 生成矩阵(a, &r1, &c1);
矩阵数乘(a, r1, c1);
内存释放(a, r1);
break;
}
case'7':
{
a = 生成矩阵(a, &r1, &c1);
b = 生成矩阵(b, &r2, &c2);
矩阵乘法(a, b, r1, c1, r2, c2);
内存释放(a, r1);
内存释放(b, r2);
break;
}
case'8':
{
a = 生成矩阵(a, &r1, &c1);
int 秩;
秩 = 矩阵化简(a, r1, c1, 0);
printf("矩阵的秩为:%d\n", 秩);
内存释放(a, r1);
break;
}
case'9':
{
a = 生成矩阵(a, &r1, &c1);
double ss = 计算行列式(a, r1);
if ((int)(ss * 100) % 100 == 0)
printf("%d\t", (int)ss);
else
printf("%.2lf\t", ss);
内存释放(a, r1);
break;
}
case '0':
{
读取文件();
break;
}
default:
{
return -1;
}
}
getchar();
return 0;
}
void 内存释放(double** d, int r)
{
for (int i = 0; i < r; i++) { delete[]d[i]; }
delete[]d;
}
void 写入文件(double** a, int r1, int c1, double** d, int r2, int c2,std::string name)
{
using namespace std;
string 文件名;
文件名 = "计算结果.txt";
ofstream fout(文件名.c_str(),ios_base::out|ios_base::app);
fout << "矩阵:" << endl;
for (int i = 0; i < r1; i++)
{
for (int j = 0; j < c1; j++)
{
if ((int)(a[i][j] * 100) % 100 == 0)
fout << (int)a[i][j] << "\t";
else
{
fout << a[i][j] << "\t";
}
}
fout << endl;
}
fout << name << endl;
for (int i = 0; i < r2; i++)
{
for (int j = 0; j < c2; j++)
{
if ((int)(d[i][j] * 100) % 100 == 0)
fout << (int)d[i][j] << "\t";
else
fout << d[i][j] << "\t";
}
fout << endl;
}

}
void 写入逆矩阵(double** a, double** d,int r, std::string name)
{
using namespace std;
string 文件名;
文件名 = "计算结果.txt";
ofstream fout(文件名.c_str(), ios_base::out | ios_base::app);
fout << "矩阵:" << endl;
for (int i = 0; i < r; i++)
{
for (int j = 0; j < r; j++)
{
if ((int)(a[i][j] * 100) % 100 == 0)
fout << (int)a[i][j] << "\t";
else
{
fout << a[i][j] << "\t";
}
}
fout << endl;
}
fout << name << endl;
for (int i = 0; i < r; i++)
{
for (int j = r; j < 2*r; j++)
{
if ((int)(d[i][j] * 100) % 100 == 0)
fout << (int)d[i][j] << "\t";
else
{
fout << d[i][j] << "\t";
}
}
fout << endl;
}

}
void 写入行列式(double** a, int r,double ss)
{
using namespace std;
string 文件名;
文件名 = "计算结果.txt";
ofstream fout(文件名.c_str(), ios_base::out | ios_base::app);
fout << "矩阵:" << endl;
for (int i = 0; i < r; i++)
{
for (int j = 0; j < r; j++)
{
if ((int)(a[i][j] * 100) % 100 == 0)
fout << (int)a[i][j] << "\t";
else
{
fout << a[i][j] << "\t";
}
}
fout << endl;
}
fout << "的行列式的值为:" << ss << endl;
}
void 写入秩(double** a, int r1, int c1, int 秩)
{
using namespace std;
string 文件名;
文件名 = "计算结果.txt";
ofstream fout(文件名.c_str(), ios_base::out | ios_base::app);
fout << "矩阵:" << endl;
for (int i = 0; i < r1; i++)
{
for (int j = 0; j < 1; j++)
{
if ((int)(a[i][j] * 100) % 100 == 0)
fout << (int)a[i][j] << "\t";
else
{
fout << a[i][j] << "\t";
}
}
fout << endl;
}
fout << "的秩为:" << 秩 << endl;
}
void 写入加减法(double** a, int r1, int c1, double** b,double**d,int r,int c, int sign)
{
using namespace std;
string 文件名;
文件名 = "计算结果.txt";
ofstream fout(文件名.c_str(), ios_base::out | ios_base::app);
fout << "矩阵:" << endl;
for (int i = 0; i < r1; i++)
{
for (int j = 0; j < c1; j++)
{
if ((int)(a[i][j] * 100) % 100 == 0)
fout << (int)a[i][j] << "\t";
else
{
fout << a[i][j] << "\t";
}
}
fout << endl;
}
if (sign == 1)
{
fout << "加矩阵:" << endl;
}
else
{
fout << "减矩阵:" << endl;
}
for (int i = 0; i < r1; i++)
{
for (int j = 0; j < c1; j++)
{
if ((int)(b[i][j] * 100) % 100 == 0)
fout << (int)b[i][j] << "\t";
else
fout << b[i][j] << "\t";
}
fout << endl;
}
fout << "的结果为:" << endl;
for (int i = 0; i < r; i++)
{
for (int j = 0; j < c; j++)
{
if ((int)(d[i][j] * 100) % 100 == 0)
fout << (int)d[i][j] << "\t";
else
fout << d[i][j] << "\t";
}
fout << endl;
}
}
void 写入乘法(double**a,int r1,int c1,double**b,int r2,int c2,double**d)
{
using namespace std;
string 文件名;
文件名 = "计算结果.txt";
ofstream fout(文件名.c_str(), ios_base::out | ios_base::app);
fout << "矩阵:" << endl;
for (int i = 0; i < r1; i++)
{
for (int j = 0; j < c1; j++)
{
if ((int)(a[i][j] * 100) % 100 == 0)
fout << (int)a[i][j] << "\t";
else
{
fout << a[i][j] << "\t";
}
}
fout << endl;
}
fout << "乘矩阵:" << endl;
for (int i = 0; i < r2; i++)
{
for (int j = 0; j < c2; j++)
{
if ((int)(b[i][j] * 100) % 100 == 0)
fout << (int)b[i][j] << "\t";
else
fout << b[i][j] << "\t";
}
fout << endl;
}
fout << "的结果为:" << endl;
for (int i = 0; i < r1; i++)
{
for (int j = 0; j < c2; j++)
{
if ((int)(d[i][j] * 100) % 100 == 0)
fout << (int)d[i][j] << "\t";
else
fout << d[i][j] << "\t";
}
fout << endl;
}
}
void 读取文件()
{
using namespace std;
char ch;
string 文件名;
文件名 = "计算结果.txt";
ifstream fin(文件名);
if (fin.is_open())
{
while (fin.get(ch))
{
cout << ch;
}
fin.close();
}
}