• UVALive


    题目大意:有一个胖子在玩跳舞机。刚開始的位置在(0,0)。跳舞机有四个方向键,上左下右分别相应1,2,3,4.如今有下面规则
    1.假设从0位置移动到随意四个位置,消耗能量2
    2.假设从非0位置跳到相邻的位置,如1跳到2或4,消耗能量3
    3.假设从非0位置跳到对面的位置。如2跳到4。消耗能量4
    4.假设跳同一个位置,消耗能量1
    5.两仅仅脚不能在同一个位置

    解题思路:这题事实上非常水。直接暴力就能够攻克了,讨论全部情况,用dp[i][j][k]表示跳第k个数字。左脚在i这个位置。右脚在j这个位置时所消耗的能量,接着分类讨论

    1.假设当中一仅仅脚在0上的情况
    2.当中一仅仅脚踩的数字和当前要跳的数字一样
    3.两仅仅脚踩的数字和当前的数字不一样

    三种情况,分别在细分就可以,详细看代码

    #include<cstdio>
    #include<algorithm>
    #include<cstring>
    using namespace std;
    #define maxn 50010
    #define INF 0x3f3f3f3f
    int dp[5][5][maxn];
    int seq[maxn];
    int strength[2] = {4,3};
    int n;
    
    int solve() {
        memset(dp, 0x3f, sizeof(dp));
        dp[0][seq[0]][0] = dp[seq[0]][0][0] = 2;
    
        for(int i = 1; i < n; i++) {
            for(int j = 0; j < 5; j++) {
                if(dp[j][seq[i-1]][i-1] != INF) {
    
                    if(j == 0) {
                        if(seq[i] != seq[i-1])
                            dp[seq[i]][seq[i-1]][i] = dp[j][seq[i-1]][i-1] + 2;
    
                        if(seq[i] == seq[i-1])
                            dp[j][seq[i-1]][i] = dp[j][seq[i-1]][i-1] + 1;
                        else
                            dp[j][seq[i]][i] = dp[j][seq[i-1]][i-1] + strength[(seq[i-1] + seq[i]) % 2];    
                    }
                    else if(j == seq[i] || seq[i-1] == seq[i]) 
                        dp[j][seq[i-1]][i] = min(dp[j][seq[i-1]][i],dp[j][seq[i-1]][i-1] + 1);
                    else {
                        dp[seq[i]][seq[i-1]][i] = min(dp[j][seq[i-1]][i-1] + strength[(j + seq[i]) % 2], dp[seq[i]][seq[i-1]][i]);
                        dp[j][seq[i]][i] = min(dp[j][seq[i-1]][i-1] + strength[(seq[i-1] + seq[i] ) % 2], dp[j][seq[i]][i]);
                    }
                }
    
                if(dp[seq[i-1]][j][i-1] != INF) {
                    if(j == 0) {
                        if(seq[i] != seq[i-1])
                            dp[seq[i]][seq[i-1]][i] = dp[seq[i-1]][j][i-1] + 2;
    
                        if(seq[i] == seq[i-1])
                            dp[seq[i-1]][j][i] = dp[seq[i-1]][j][i-1] + 1;
                        else
                            dp[seq[i]][j][i] = dp[seq[i-1]][j][i-1] + strength[(seq[i-1] + seq[i]) % 2];    
                    }
    
                    if(j == seq[i] || seq[i-1] == seq[i]) 
                        dp[seq[i-1]][j][i] = min(dp[seq[i-1]][j][i],dp[seq[i-1]][j][i-1] + 1);
                    else {
                        dp[seq[i]][seq[i-1]][i] = min(dp[seq[i-1]][j][i-1] + strength[(j + seq[i]) % 2], dp[seq[i]][seq[i-1]][i]);
                        dp[seq[i]][j][i] = min(dp[seq[i-1]][j][i-1] + strength[(seq[i-1] + seq[i] ) % 2], dp[seq[i]][j][i]);
                    }
                }
            }
        }
        int ans = INF;
        for(int i = 0; i < 5; i++)
            ans = min(min(ans, dp[seq[n-1]][i][n-1]), dp[i][seq[n-1]][n-1]);
    
        return ans;
    }
    
    int main() {
        n = 0;
        while(scanf("%d", &seq[n]) != EOF && seq[n++]) {
            while(scanf("%d", &seq[n]) && seq[n])
                n++;    
            printf("%d
    ", solve());
            n = 0;
        }
        return 0;
    }
    
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  • 原文地址:https://www.cnblogs.com/cxchanpin/p/7069536.html
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