PAT (Advanced Level) Practice 1079 Total Sales of Supply Chain （25 分）

• 编程题

1079 Total Sales of Supply Chain （25 分）

A supply chain is a network of retailers（零售商）, distributors（经销商）, and suppliers（供应商）-- everyone involved in moving a product from supplier to customer.

Starting from one root supplier, everyone on the chain buys products from one's supplier in a price Pand sell or distribute them in a price that is r% higher than P. Only the retailers will face the customers. It is assumed that each member in the supply chain has exactly one supplier except the root supplier, and there is no supply cycle.

Now given a supply chain, you are supposed to tell the total sales from all the retailers.

Input Specification:

Each input file contains one test case. For each case, the first line contains three positive numbers: N (≤10​5​​), the total number of the members in the supply chain (and hence their ID's are numbered from 0 to N−1, and the root supplier's ID is 0); P, the unit price given by the root supplier; and r, the percentage rate of price increment for each distributor or retailer. Then N lines follow, each describes a distributor or retailer in the following format:

K​i​​ ID[1] ID[2] ... ID[K​i​​]

where in the i-th line, K​i​​ is the total number of distributors or retailers who receive products from supplier i, and is then followed by the ID's of these distributors or retailers. K​j​​ being 0 means that the j-th member is a retailer, then instead the total amount of the product will be given after K​j​​. All the numbers in a line are separated by a space.

Output Specification:

For each test case, print in one line the total sales we can expect from all the retailers, accurate up to 1 decimal place. It is guaranteed that the number will not exceed 10​10​​.

Sample Input:

10 1.80 1.00
3 2 3 5
1 9
1 4
1 7
0 7
2 6 1
1 8
0 9
0 4
0 3

Sample Output:

42.4

题目大意：

给出根节点和根节点的权重（成本价），每个节点的子节点，叶节点的权重（销售量），每一层的权重（利率），求所有叶节点的总权重（销售总收入）。

DFS，遍历到叶节点的时候更新总收入。

注意事项：

1.给的利率需要除以100才是真实利率；

2.尽量避免小数运算，把成本价放在最后计算。

源代码1：

#include<iostream>
#include<stdlib.h>
#include<vector>
#include<math.h>
using namespace std;
struct node
{
	int amount = 0;
	vector<int>child;
};
vector<node> v;
double ans=0;
double p, r;
void dfs(int root, int level)
{
	if (v[root].child.size()==0)
	{
		ans += pow(1 + r, level)*v[root].amount;
		return;
	}
	int i;
	for (i = 0; i < v[root].child.size(); i++)
		dfs(v[root].child[i], level + 1);
	return;
}
int main()
{
	int n, i, j, k;
	scanf("%d %lf %lf", &n, &p, &r);
	v.resize(n);
	r = r / 100;
	for (i = 0; i < n; i++)
	{
		scanf("%d", &k);
		if (k == 0)scanf("%d", &v[i].amount);
		else
		{
			v[i].child.resize(k);
			for (j = 0; j < k; j++)scanf("%d", &v[i].child[j]);
		}
	}
	dfs(0, 0);
	printf("%.1lf", ans*p);
	system("pause");
	return 0;
}