【剑指offer】面试题3 数组 二维数组的查找

// 二维数组matrix中，每一行都从左到右递增排序，
// 每一列都从上到下递增排序
bool Find(int* matrix, int rows, int columns, int number)
{
bool found = false;

if(matrix != NULL && rows > 0 && columns > 0)
{
int row = rows-1;
int column =0;
while(row>=0 && column <columns)
{
if(matrix[row*column+column] == number)
{
found = true;
break;
}
else if(matrix[row*column+column] > number)
--row;
else
++ column;
}
}

return found;
}

// ====================测试代码====================
void Test(char* testName, int* matrix, int rows, int columns, int number, bool expected)
{
if(testName != NULL)
printf("%s begins: ", testName);

bool result = Find(matrix, rows, columns, number);
if(result == expected)
printf("Passed.\n");
else
printf("Failed.\n");
}

//  1   2   8   9
//  2   4   9   12
//  4   7   10  13
//  6   8   11  15
// 要查找的数在数组中
void Test1()
{
int matrix[][4] = {{1, 2, 8, 9}, {2, 4, 9, 12}, {4, 7, 10, 13}, {6, 8, 11, 15}};
Test("Test1", (int*)matrix, 4, 4, 7, true);//！！！因为二维数组名是指向一位数组首地址
}

//  1   2   8   9
//  2   4   9   12
//  4   7   10  13
//  6   8   11  15
// 要查找的数不在数组中
void Test2()
{
int matrix[][4] = {{1, 2, 8, 9}, {2, 4, 9, 12}, {4, 7, 10, 13}, {6, 8, 11, 15}};
Test("Test2", (int*)matrix, 4, 4, 5, false);
}

//  1   2   8   9
//  2   4   9   12
//  4   7   10  13
//  6   8   11  15
// 要查找的数是数组中最小的数字
void Test3()
{
int matrix[][4] = {{1, 2, 8, 9}, {2, 4, 9, 12}, {4, 7, 10, 13}, {6, 8, 11, 15}};
Test("Test3", (int*)matrix, 4, 4, 1, true);
}

//  1   2   8   9
//  2   4   9   12
//  4   7   10  13
//  6   8   11  15
// 要查找的数是数组中最大的数字
void Test4()
{
int matrix[][4] = {{1, 2, 8, 9}, {2, 4, 9, 12}, {4, 7, 10, 13}, {6, 8, 11, 15}};
Test("Test4", (int*)matrix, 4, 4, 15, true);
}

//  1   2   8   9
//  2   4   9   12
//  4   7   10  13
//  6   8   11  15
// 要查找的数比数组中最小的数字还小
void Test5()
{
int matrix[][4] = {{1, 2, 8, 9}, {2, 4, 9, 12}, {4, 7, 10, 13}, {6, 8, 11, 15}};
Test("Test5", (int*)matrix, 4, 4, 0, false);
}

//  1   2   8   9
//  2   4   9   12
//  4   7   10  13
//  6   8   11  15
// 要查找的数比数组中最大的数字还大
void Test6()
{
int matrix[][4] = {{1, 2, 8, 9}, {2, 4, 9, 12}, {4, 7, 10, 13}, {6, 8, 11, 15}};
Test("Test6", (int*)matrix, 4, 4, 16, false);
}

// 鲁棒性测试，输入空指针
void Test7()
{
Test("Test7", NULL, 0, 0, 16, false);
}

int main()//(int argc, char* argv[])
{
Test1();
Test2();
Test3();
Test4();
Test5();
Test6();
Test7();

return 0;
}