解题报告
题意：
本金买股票，最大n年后的收益（本金加利息）
思路：
基础完全背包，单纯的写可能TLE，因为股票都是1000的倍数，所以本金用1000的整数倍来买股票。
#include <iostream>
#include <cstring>
#include <cstdio>
#define inf 99999999
using namespace std;
int w[12],c[12],dp[2001000],v;
int n,d;
int main()
{
int t,i,j,k;
scanf("%d",&t);
while(t--) {
memset(dp,0,sizeof(dp));
scanf("%d%d",&v,&n);
scanf("%d",&d);
for(i=1; i<=d; i++) {
scanf("%d%d",&c[i],&w[i]);
c[i]/=1000;
}
for(k=1; k<=n; k++) {
for(i=1; i<=d; i++) {
for(j=c[i]; j<=v/1000; j++) {
dp[j]=max(dp[j],dp[j-c[i]]+w[i]);
}
}
v=(dp[(int)v/1000]+v);
}
printf("%d\n",v);
}
return 0;
}
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Investment
Description John never knew he had a grand-uncle, until he received the notary‘s letter. He learned that his late grand-uncle had gathered a lot of money, somewhere in South-America, and that John was the only inheritor. John did not need that much money for the moment. But he realized that it would be a good idea to store this capital in a safe place, and have it grow until he decided to retire. The bank convinced him that a certain kind of bond was interesting for him. This kind of bond has a fixed value, and gives a fixed amount of yearly interest, payed to the owner at the end of each year. The bond has no fixed term. Bonds are available in different sizes. The larger ones usually give a better interest. Soon John realized Assume the following bonds are available:
With a capital of e10 000 one could buy two bonds of $4 000, giving a yearly interest of $800. Buying two bonds of $3 000, and one of $4 000 is a better idea, as it gives a yearly interest of $900. After two years the capital has grown to $11 800, and it makes Here is your problem: given an amount to begin with, a number of years, and a set of bonds with their values and interests, find out how big the amount may grow in the given period, using the best schedule for buying and selling bonds. Input The first line contains a single positive integer N which is the number of test cases. The test cases follow. The first line of a test case contains two positive integers: the amount to start with (at most $1 000 000), and the number of years the capital may grow (at most 40). The following line contains a single number: the number d (1 <= d <= 10) of available bonds. The next d lines each contain the description of a bond. The description of a bond consists of two positive integers: the value of the bond, and the yearly interest for that bond. The value of a bond is always a multiple of $1 000. The interest of a bond is Output For each test case, output – on a separate line – the capital at the end of the period, after an optimal schedule of buying and selling. Sample Input 1 10000 4 2 4000 400 3000 250 Sample Output 14050 Source |
POJ2063_Investment(背包/完全背包)