题意:给n(n <= 20)个石头的重量,问把这些石头分成两堆,两堆最小的重量差是多少
思路:把这20个石头看成一个集合,张成子集即可,假设20个石头的重量和sum,子集的所有石头重量和为ts,那么重量差就是abs(sum-2*ts)。
#include <cstdio>
int n, a[25], sum, ans;
int main()
{
while (scanf("%d",&n) != EOF)
{
sum = 0;
ans = 0x7fffffff;
for (int i = 0; i < n; ++ i)
{
scanf("%d",&a[i]);
sum += a[i];
}
for (int i = 0; i < (1<<n); ++ i)
{
int ts = 0;
for (int j = 0; j < n; ++ j)
if (i & (1<<j)) ts += a[j];
ts = 2*ts - sum;
if (ts < 0) ts = -ts;
if (ts < ans) ans = ts;
}
printf("%d\n", ans);
}
}