Codeforces 454D - Little Pony and Harmony Chest

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Codeforces 454D - Little Pony and Harmony Chest

454D - Little Pony and Harmony Chest 思路: 状压dp,由于1的时候肯定满足题意,而ai最大是30,所以只要大于等于59都可以用1替换,所以答案在1到59之间然后筛出1到58之间的质数,只有16个,把1到58的数的状态由这16个质数表示,如果整除这个质数则二进制中这一位为1,否则则为0 状态:dp[i][j]表示到第i个数为止选取的数的状态为j的最小差和初始状态:dp[0][0]=0 状态转移: dp[i+1][j|sta[k]]=min(dp[i+1][…

Codeforces 453B Little Pony and Harmony Chest：状压dp【记录转移路径】

题目链接:http://codeforces.com/problemset/problem/453/B 题意: 给你一个长度为n的数列a,让你构造一个长度为n的数列b. 在保证b中任意两数gcd都为1的情况下,使得 ∑|a[i]-b[i]|最小. 让你输出构造的数列b. (1<=n<=100, 1<=a[i]<=30) 题解: 因为1<=a[i]<=30,所以有1<=b[i]<=60,此时才有可能最优. 因为b中任意两数gcd为1,所以对于一个质因子p[i]…

Codeforces 4538 （状态压缩dp）Little Pony and Harmony Chest

Little Pony and Harmony Chest 经典状态压缩dp #include <cstdio> #include <cstring> #include <cstdlib> #include <iostream> #define min(x,y) (x>y?y:x) using namespace std; ],all,n,a[],b[][<<],pre[][<<],s1,s0,f[][<<],ans…

Codeforces Round #259 (Div. 2) D. Little Pony and Harmony Chest 状压DP

D. Little Pony and Harmony Chest Princess Twilight went to Celestia and Luna's old castle to research the chest from the Elements of Harmony. A sequence of positive integers bi is harmony if and only if for every two elements of the sequence their…

CF453B Little Pony and Harmony Chest （状压DP）

CF453B CF454D Codeforces Round #259 (Div. 2) D Codeforces Round #259 (Div. 1) B D. Little Pony and Harmony Chest time limit per test 4 seconds memory limit per test 256 megabytes input standard input output standard output Princess Twilight went to C…

[CF453B]Little Pony and Harmony Chest

[CF453B]Little Pony and Harmony Chest 题目大意: 给你一个长度为\(n(n\le100)\)的正整数序列\(A(A_i\le30)\),求一个正整数序列\(B\),使得\(\sum_{i=1}^n |A_i-B_i|\)最小,且\(B\)中所有互质. 思路: 由于\(B_i\ge59\)时用\(1\)代替时不会更差,因此我们只需要考虑\(B_i\le58\)的情况.由于质因数只有\(16\)个,因此可以状压DP.另外记录转移即可. 源代码: #include…