atcoder-077S - mall Multiple - 双向队列deque 和 向量数组vector

问题

Problem Statement

Find the smallest possible sum of the digits in the decimal notation of a positive multiple of K.

Constraints

2≤K≤105

K is an integer.

Input

Input is given from Standard Input in the following format:

K

Output

Print the smallest possible sum of the digits in the decimal notation of a positive multiple of K.

Sample Input 1

6

Sample Output 1

3

12=6×2 yields the smallest sum.

Sample Input 2

41

Sample Output 2

5

11111=41×271 yields the smallest sum.

Sample Input 3

79992

Sample Output 3

36

双向队列

deque双向队列是一种双向开口的连续线性空间，可以高效的在头尾两端插入和删除元素，deque在接口上和vector非常相似，下面列出deque的常用成员函数：

解题

#include<stdio.h>
#include<iostream>
#include<cmath>
#include<cstring>
#include<algorithm>
#include<map>
#include<vector>
#include<queue>
#include<stack>
#include<deque>
using namespace std;
typedef long long LL;
#define ms(a,b) memset(a,b,sizeof(a))
# define eps 1e-8

bool to(int &x, int y) {
if (x > y) {
x = y;
return true;
}
return false;
}

int main()
{
int K;
cin>>K;

deque<int> q;//双向队列
q.push_back(1);

vector<int> dp(K,1e9);//表示有K个值为1e9的数
dp[1] = 1;

while (!q.empty()) {
int u = q.front(); q.pop_front();
//int d = dp[u];
if (to(dp[u * 10 % K], dp[u])) {
q.push_front(u * 10 % K);
}
if (to(dp[(u + 1) % K], dp[u] + 1)) {
q.push_back((u + 1) % K);
}
}

cout << dp[0] << endl;
return 0;
}