标签:des style color 使用 os io strong for
Description
Prof. Vasechkin wants to represent positive integer n as a sum of addends, where each addends is an integer number containing only 1s. For example, he can represent 121 as 121=111+11+–1. Help him to find the least number of digits 1 in such sum.
Input
The first line of the input contains integer n (1?≤?n?<?1015).
Output
Print expected minimal number of digits 1.
Sample Input
121
6
题意:给出一个数n,要求用1组成的数来得到n,问最少要使用多少个1
一开始想的很简单,只要每对于每位数都用1消去,后来想到要达到某一个数字,有两种方法:
1:有与它同位的1...1组成; 2 由比它大一位的1...1减去和它同位的1....1组成。
只能使用dfs遍历所有情况。
#include <cstdio> #include <cstring> #include <algorithm> using namespace std; #define LL __int64 LL a[17] ; LL f(LL n,LL i) { LL num = n / a[i] ; n %= a[i] ; if(n == 0) return num*i ; else return num*i + min( i+f(a[i]-n,i-1),f(n,i-1) ); } int main() { LL n , i ; a[0] = 0 ; for(i = 1 ; i <= 16 ; i++) a[i] = a[i-1]*10 + 1 ; scanf("%I64d", &n); printf("%I64d\n", f(n,16)); }
CodeForces 440C One-Based Arithmetic(递归,dfs),布布扣,bubuko.com
CodeForces 440C One-Based Arithmetic(递归,dfs)
标签:des style color 使用 os io strong for
原文地址:http://blog.csdn.net/winddreams/article/details/38735787