Description
Farmer John wants to repair a small length of the fence around the pasture. He measures the fence and finds that he needs N (1 ≤ N ≤ 20,000) planks of wood, each having some integer length Li (1 ≤ Li ≤ 50,000) units. He then purchases a single long board just long enough to saw into the N planks (i.e., whose length is the sum of the lengths Li). FJ is ignoring the "kerf", the extra length lost to sawdust when a sawcut is made; you should ignore it, too.
FJ sadly realizes that he doesn't own a saw with which to cut the wood, so he mosies over to Farmer Don's Farm with this long board and politely asks if he may borrow a saw.
Farmer Don, a closet capitalist, doesn't lend FJ a saw but instead offers to charge Farmer John for each of the N-1 cuts in the plank. The charge to cut a piece of wood is exactly equal to its length. Cutting a plank of length 21 costs 21 cents.
Farmer Don then lets Farmer John decide the order and locations to cut the plank. Help Farmer John determine the minimum amount of money he can spend to create the N planks. FJ knows that he can cut the board in various different orders which will result in different charges since the resulting intermediate planks are of different lengths.
Input
Line 1: One integer N, the number of planksOutput
Line 1: One integer: the minimum amount of money he must spend to make N-1 cutsSample Input
3 8 5 8
Sample Output
34
Hint
He wants to cut a board of length 21 into pieces of lengths 8, 5, and 8.Source
USACO 2006 November Gold 這一題看之後很容易聯想到哈夫曼樹,但是這一題有 可以使用優先隊列來寫。所以就在這裡介紹一下優先隊列。 priority_queue<元素類型,容器類型,比較算子>; 算子有兩種1.greater<>2.less<>. 算子的頭文件需要加#include#include#include #include #include #include using namespace std; int main() { priority_queue ,greater >q; int n,k; while(~scanf("%d",&n)) { for(int i=0;i 1) { temp+=q.top(); q.pop(); temp+=q.top(); q.pop(); ans+=temp; q.push(temp); temp=0; } printf("%lld\n",ans); } return 0; }