usaco A Game

好久没写过题目了……呵呵!

这是一道DP问题,比较简单!

代码如下:

/*
ID: guo geer
PROG: game1
LANG: C++
*/
#include<iostream>
#include<fstream>
#include<cstring>
#include<string>
using namespace std;

int dp[210][210];
int data[210];
int s[210];

int main()
{
    ifstream fin("game1.in");
    ofstream fout("game1.out");
    
    int n;
    while(fin>>n)
    {
                 for(int i=1; i<=n; i++)
                 fin>>data[i];
                 
                 s[0] = 0;
                 for(int i=1; i<=n; i++) s[i] = s[i-1]+data[i];
                 
                 for(int i=1; i<=n; i++) dp[i][i] = data[i];
                 
                 for(int i=1; i<=n; i++)
                 for(int j=1; j+i<=n; j++)
                 dp[j][j+i] = max(s[j+i]-s[j]-dp[j+1][j+i]+data[j], s[j+i-1]-s[j-1]-dp[j][j+i-1]+data[j+i]);
                 
                 fout<<dp[1][n]<<' '<<s[n]-dp[1][n]<<endl;
    }
    
    return 0;    
}


### USACO Competition Problem Solutions for Cow Games In the context of USACO competitions, problems involving cows often require a blend of algorithmic thinking and mathematical insight. For instance, one notable problem involves Farmer John providing hay to his cows on different days with varying quantities[^3]. This type of scenario can be modeled using dynamic programming or greedy algorithms depending on what is asked. For specific game-related challenges featuring cows within USACO contests, consider an example where cows play games that involve strategic decision-making under given constraints. These scenarios frequently test contestants' ability to apply concepts like graph theory, number manipulation, and optimization techniques effectively. A relevant exercise from similar competitive coding platforms includes dealing with round numbers which have properties making them interesting subjects for computational puzzles[^2]: ```python def count_round_numbers(n): binary_representation = bin(n)[2:] zero_count = binary_representation.count('0') return zero_count >= len(binary_representation) / 2 ``` This function checks whether a number has at least as many zeros as ones in its binary representation—a concept sometimes explored through playful contexts such as virtual cow activities designed around numerical patterns. To tackle these kinds of tasks successfully: - Understand all rules governing how elements interact. - Identify efficient ways to represent data structures involved. - Develop strategies based on observed trends or established theories applicable to the situation described.
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