UVa 496 Simply Subsets (STL&set_intersection)

时间:2021-01-14 13:55:03

http://uva.onlinejudge.org/index.php?option=com_onlinejudge&Itemid=8&category=24&page=show_problem&problem=437

先介绍<algorithm>头文件中与集合运算有关的4个函数:

set_union
Union of two sorted ranges 
(并集:A∪B)
set_intersection
Intersection of two sorted ranges 
(交集:A∩B)
set_difference
Difference of two sorted ranges 
(差集:A-B)
set_symmetric_difference
Symmetric difference of two sorted ranges 
(对称差集:A△B)

很明显,这里要判断两个集合的关系,使用交集来判断就行了。

使用方法:

set_intersection(a, a + n, b, b + m, v.begin());

这里v是动态数组,用于保存交运算结果。(其他函数的使用方法均与之类似)

该函数的返回值减去v.begin()就是集合的大小。

完整代码:

/*0.016s*/

#include<bits/stdc++.h>
using namespace std; int a[100], b[100];
vector<int> v(100);///初始化空间是必须的 int main()
{
int n, m, cnt, diff;
char ch;
while (~scanf("%d%c", &a[0], &ch))
{
for (n = 1; ch != 10; ++n)
scanf("%d%c", &a[n], &ch);
cnt = scanf("%d%c", &b[0], &ch);
for (m = 1; ch != 10 && cnt == 2; ++m)
cnt = scanf("%d%c", &b[m], &ch);
sort(a, a + n);
sort(b, b + m);
diff = set_intersection(a, a + n, b, b + m, v.begin()) - v.begin();
if (diff == min(n, m))
{
if (n < m) puts("A is a proper subset of B");
else if (n > m) puts("B is a proper subset of A");
else puts("A equals B");
}
else if (diff) puts("I'm confused!");
else puts("A and B are disjoint");
}
return 0;
}