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At the beginning of the semester in kindergarten, the n little kids (indexed from 1 to n, for convenience) in class need to elect their new leader.
The ith kid will vote for his best friend fi (where 1 ≤ fi ≤ n, and it's too shame to vote for yourself, so fi ≠ i). And the kid who gets the most votes will be the leader. If more than one kids who get the largest number of votes, there will be multiple leaders in the new semester.
Little Sheldon (the kid with index 1) is extremely vain, and he would like to be the ONLY leader. (That means the number of votes he gets should strictly larger than any other.) Soon Sheldon found that if he give ci candies to the ith kid, the ith kid would regard Sheldon as the new best friend, and of course vote for Sheldon.
Every kid including Sheldon loves candies. As an evil programmer, please help the evil Sheldon become the ONLY leader with minimum cost of candies. By the way, Sheldon should vote for any one he wants EXCEPT himself.
Input
There are multiple test cases. The first line of input contains an integer T (T ≤ 100) indicating the number of test cases. Then T test cases follow.
The first line of each case contains one integer: n (3 ≤ n ≤ 100) -- the number of kids in class.
The second line contains n-1 integers: fi (1 ≤ fi ≤ n, fi ≠ i, and 2 ≤ i ≤ n) -- represents that the best friend of ith kid is indexed with fi.
The third line contains n-1 integers: ci (1 ≤ ci ≤ 1000, and 2 ≤ i ≤ n) -- represents that if Sheldon gave ci candies to the ith kid, the ith kid would vote Sheldon, instead of their old best friend fi, as the new semester leader.
Output
For each test case, print the minimal cost of candies to help Sheldon become the ONLY leader.
Sample Input
241 1 21 10 10033 21 10
Sample Output
011
Hint
In the first case,
枚举1号的初始状态i,然后去除大于等于i票的人选中的一部分票,使所有的人的票数都小于i,将这个票都加到1号,如果总票数大于n的话,则去除这种情况,如果小于,则从未被贿赂的人且不投1号的人中选,另1号票数满足于等于i。
挑选人的时候统一贿赂花费小的优先级高。
#include#include #include #include #include using namespace std;const int maxn=105;const int INF=0x3f3f3f3f;int t;int n;struct child{ int cho,need;};child a[maxn];int num[maxn];int compare (child a,child b){ return a.need i-1) sum+=num[j]-(i-1); if(sum+num[1]>n-1) continue; huo=sum+num[1]; ok=1; memset (vis,0,sizeof(vis)); for (int j=2;j<=n;j++) { if(num[j]<=i-1) continue; int len=0; child b[maxn]; for (int k=1;k<=n-1;k++) { if(a[k].cho==j) { b[len].need=a[k].need; b[len++].cho=k; } } sort(b,b+len,compare); int ci=num[j]-(i-1); for (int k=0;k
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