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UVA - 10306 e-Coins

2024-08-06 20:59:26   222人阅读

题目：

有n种物品，每种物品有x, y两个价值，并且可以有无限多个。

给定s，使得(x1+x2+....)^2 + (y1+y2+....)^2 = s ^ 2。并且物品个数最少。


啊，一顿完全背包之后……再扫一顿……就可以了

#include<iostream>
#include<map>
#include<string>
#include<cstring>
#include<cstdio>
#include<cstdlib>
#include<cmath>
#include<queue>
#include<vector>
#include<algorithm>
using namespace std;
int dp[1010][1010];
int x[50],y[50];
int main()
{
	int T,n,s,i,j,ans,k,inf;
	cin>>T;
	while(T--)
	{
		cin>>n>>s;
		for(i=0;i<n;i++)
			cin>>x[i]>>y[i];
		memset(dp,127,sizeof(dp));
		inf=*dp[0];
		dp[0][0]=0;
		for(i=0;i<=s;i++)
			for(j=0;j<=s;j++)
				for(k=0;k<n;k++)
					if(i>=x[k]&&j>=y[k])
						dp[i][j]=min(dp[i][j],dp[i-x[k]][j-y[k]]+1);
		ans=inf;
		for(i=0;i<=s;i++)
			for(j=0;j<=s;j++)
				if(i*i+j*j==s*s)
					ans=min(ans,dp[i][j]);
		if(ans==inf)
			cout<<"not possible"<<endl;
		else
			cout<<ans<<endl;
	}
	return 0;
}


e-Coins
Time Limit: 3000MS Memory Limit: Unknown 64bit IO Format: %lld & %llu

SubmitStatus

Description

Download as PDF

Problem G

e-Coins

Input: standard input

Output: standard output

Time Limit: 10 seconds

Memory Limit: 32 MB

At the Department for Bills and Coins, an extension of today‘s monetary system has newly been proposed, in order to make it fit the new economy better. A number of new so called e-coins will be produced, which, in addition to having a value in the normal sense of today, also have an InfoTechnological value. The goal of this reform is, of course, to make justice to the economy of numerous dotcom companies which, despite the fact that they are low on money surely have a lot ofIT inside. All money of the old kind will keep its conventional value and get zero InfoTechnological value.

To successfully make value comparisons in the new system, something called the e-modulus is introduced. This is calculated asSQRT(X*X+Y*Y), where X and Y hold the sums of the conventional and InfoTechnological values respectively. For instance, money with a conventional value of$3 altogether and an InfoTechnological value of $4 will get an e-modulus of$5. Bear in mind that you have to calculate the sums of the conventional and InfoTechnological values separately before you calculate the e-modulus of the money.

To simplify the move to e-currency, you are assigned to write a program that, given the e-modulus that shall be reached and a list of the different types of e-coins that are available, calculates the smallest amount of e-coins that are needed to exactly match the e-modulus. There is no limit on how many e-coins of each type that may be used to match the given e-modulus.

Input

A line with the number of problems n (0<n<=100), followed byn times:

  • A line with the integers m (0<m<=40) andS (0<S<=300), where m indicates the number of different e-coin types that exist in the problem, andS states the value of the e-modulus that shall be matched exactly.
  • m lines, each consisting of one pair of non-negative integers describing the value of an e-coin. The first number in the pair states the conventional value, and the second number holds the InfoTechnological value of the coin.

When more than one number is present on a line, they will be separated by a space. Between each problem, there will be one blank line.

 

Output

The output consists of n lines. Each line contains either a single integer holding the number of coins necessary to reach the specified e-modulusS or, if S cannot be reached, the string "not possible".

Sample Input:

3
2 5
0 2
2 0

3 20
0 2
2 0
2 1

3 5
3 0
0 4
5 5

Sample Output:

not possible
10
2

(Joint Effort Contest, Problem Source: Swedish National Programming Contest, arranged by department of Computer Science at Lund Institute of Technology.)


Source

Root :: Competitive Programming: Increasing the Lower Bound of Programming Contests (Steven & Felix Halim) :: Chapter 3. Problem Solving Paradigms :: Dynamic Programming ::Coin Change - Classical
Root :: AOAPC I: Beginning Algorithm Contests (Rujia Liu) :: Volume 5. Dynamic Programming
Root :: Competitive Programming 2: This increases the lower bound of Programming Contests. Again (Steven & Felix Halim) :: Problem Solving Paradigms :: Dynamic Programming ::Coin Change (CC)

Root :: Competitive Programming 3: The New Lower Bound of Programming Contests (Steven & Felix Halim) :: Problem Solving Paradigms :: Dynamic Programming ::Coin Change (CC)

UVA - 10306 e-Coins


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