Problem A: 求集合的交并补集
Time Limit: 1 SecMemory Limit: 4 MB
Submit: 6817Solved: 1972
[Submit][Status][Web Board]
Description
任意给定两个包含1-30000个元素的集合A,B(集合中元素类型为任意整型数,且严格递增排列),求A交B、A并B、A-B和B-A集合。
Input
输入第一行为测试数据组数。每组测试数据两行,分别为集合A、B。每行第一个数n(1<=n<=30000)为元素数量,后面有n个严格递增的绝对值小于2^31代表集合中包含的数。
Output
对每组测试数据输出5行,第1行为数据组数,后4行分别为按升序输出两个集合的A交B、A并B、A-B和B-A集合。格式见样例。
Sample Input
1
3 1 2 5
4 2 3 5 8
Sample Output
Case #1:
2 5
1 2 3 5 8
1
3 8
HINT
考察知识点:有序表合并,时间复杂度O(n),空间复杂度O(n)
解题思路:1)分析 数据/元素 需要用什么结构储存 2)设计算法实现
#include
#include
#include
#include
#define LIST_INIT_SIZE 100
#define LISTINCREMENT 10
#define OK 1
#define OVERFLOW -1
#define ERROR 0
typedef int Status;
typedef int ElemType;
typedef struct SqList{
ElemType * elem; //数组首地址
int listSize; //表容量;当前表的容量
int length; //表长,代表当前数组中有效元素的个数
}SqList;
// 下面实现nitList操作,即初始化一个空的线性表
Status InitList_Sq(SqList &L)
{
L.elem=(ElemType *)malloc(LIST_INIT_SIZE*sizeof(ElemType));
//malloc的返回值类型是void *;
//使用时要及时进行强制类型转换
if(!L.elem)
exit(OVERFLOW);
L.listSize=LIST_INIT_SIZE;
L.length=0;
return OK;
}
Status CreateList(SqList &La,int na){
for(int i = 1;i<=na;++i){
ElemType e;
// printf("请输入第%d个元素",i);
scanf("%d",&e);
if(La.length >= La.listSize) {
La.elem=(ElemType *)realloc(La.elem,(La.listSize+LISTINCREMENT)*sizeof(ElemType));
La.listSize += LISTINCREMENT;
}
La.elem[i-1]=e;
La.length++;
}
return OK;
}
void MergeList_Sq(SqList La,SqList Lb,SqList &Ld,SqList &Le)
{ //Ld是交,Le是补
ElemType* pa = La.elem;
ElemType* pb = Lb.elem;
Ld.length = 0;
Ld.listSize = La.length + Lb.length;
Ld.elem = (ElemType*)malloc(Ld.listSize*sizeof(ElemType));
ElemType* pd = Ld.elem;
if(!Ld.elem)
exit(OVERFLOW);
Le.length = 0;
Le.listSize = La.length + Lb.length;
Le.elem = (ElemType*)malloc(Ld.listSize*sizeof(ElemType));
ElemType* pe = Le.elem;
if(!Le.elem)
exit(OVERFLOW);
ElemType* pa_last = La.elem + La.length -1;
ElemType* pb_last = Lb.elem + Lb.length -1;
while(pa <= pa_last && pb <= pb_last)
{
if(*pa <= *pb)
{
if(*pa == *pb)
{
*pd++ = *pa;
Ld.length++;
}
else
{
*pe++ = *pa;
Le.length++;
}
// *pc++ = *pa++;
pa++;
}
else
{
*pe++ = *pb;
Le.length++;
// *pc++ = *pb++;
pb++;
}
}
while(pa <= pa_last)
{
*pe++ = *pa;
Le.length++;
//*pc++ = *pa++;
pa++;
}
while(pb <= pb_last){
*pe++ = *pb;
Le.length++;
// *pc++ = *pb++;
pb++;
}
}
void MergeList_Sq2(SqList La,SqList Lb,SqList &Lc)
{
int i,j;
Lc.length = 0;
Lc.listSize = La.length + Lb.length;
Lc.elem = (ElemType*)malloc(Lc.listSize*sizeof(ElemType));
int n = 0;
for(i = 0;i < La.length;i++){
j = 0;
while((j < Lb.length)&&(La.elem[i] != Lb.elem[j])){
j++;
}
if(j == Lb.length){
Lc.elem[n] = La.elem[i];
++Lc.length; ++n;
}
}
}
void ListPrint_Sq(SqList L){
if(L.length==0) {
printf("\n");
}
else
{
for(int i=0;i