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  • CodeForces

    题意:构造一个由a组成的串,如果插入或删除一个a,花费时间x,如果使当前串长度加倍,花费时间y,问要构造一个长度为n的串,最少花费多长时间。

    分析:dp[i]---构造长度为i的串需要花费的最短时间。

    1、构造长度为1的串,只能插入,dp[1] = x。

    2、当前串的长度i为偶数,可以

    (1)长度为i/2的串加倍:dp[i / 2] + y

    (2)长度为i-1的串插入一个a:dp[i - 1] + x

    3、当前串的长度i为奇数,可以

    (1)长度为i/2的串加倍,再加上一个a:dp[i / 2] + y + x

    (2)长度为i/2+1的串加倍,再删除一个a:dp[i / 2 + 1] + y + x

    (3)长度为i-1的串插入一个a:dp[i - 1] + x

    #include<cstdio>
    #include<cstring>
    #include<cstdlib>
    #include<cctype>
    #include<cmath>
    #include<iostream>
    #include<sstream>
    #include<iterator>
    #include<algorithm>
    #include<string>
    #include<vector>
    #include<set>
    #include<map>
    #include<stack>
    #include<deque>
    #include<queue>
    #include<list>
    #define lowbit(x) (x & (-x))
    const double eps = 1e-8;
    inline int dcmp(double a, double b){
        if(fabs(a - b) < eps) return 0;
        return a > b ? 1 : -1;
    }
    typedef long long LL;
    typedef unsigned long long ULL;
    const int INT_INF = 0x3f3f3f3f;
    const int INT_M_INF = 0x7f7f7f7f;
    const LL LL_INF = 0x3f3f3f3f3f3f3f3f;
    const LL LL_M_INF = 0x7f7f7f7f7f7f7f7f;
    const int dr[] = {0, 0, -1, 1, -1, -1, 1, 1};
    const int dc[] = {-1, 1, 0, 0, -1, 1, -1, 1};
    const int MOD = 1e9 + 7;
    const double pi = acos(-1.0);
    const int MAXN = 1e7 + 10;
    const int MAXT = 10000 + 10;
    using namespace std;
    LL dp[MAXN];
    int main(){
        LL n, x, y;
        scanf("%lld%lld%lld", &n, &x, &y);
        memset(dp, LL_INF, sizeof dp);
        dp[1] = x;
        for(LL i = 2; i <= n; ++i){
            if(i % 2 == 0){
                dp[i] = min(dp[i / 2] + y, dp[i - 1] + x);
            }
            else{
                dp[i] = min(dp[i / 2] + x + y, dp[i - 1] + x);
                dp[i] = min(dp[i], dp[i / 2 + 1] + y + x);
            }
        }
        printf("%lld
    ", dp[n]);
        return 0;
    }
    

      

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  • 原文地址:https://www.cnblogs.com/tyty-Somnuspoppy/p/7140973.html
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