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POJ 1426 Find the Multiple(二维DP)

时间:2014-04-07 02:53:11      阅读:519      评论:0      收藏:0      [点我收藏+]

题目描述

 

总结

1. 编程之美讲了剪枝解法, 这里给出动规解法

2. dp[i][j]%n = j. dp[i][j] 是 mod n 余 j 的最小值

 

代码

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/*
 * source.cpp
 *
 *  Created on: Apr 6, 2014
 *      Author: sangs
 */
 
#include <stdio.h>
#include <iostream>
#include <string>
#include <vector>
#include <memory.h>
using namespace std;
 
typedef unsigned long long LL;
 
LL dp[200][500];
LL cal(int n) {
    LL lastModed = 1;
    LL expr10 = 1;
    memset(dp, 0, sizeof(dp));
 
    dp[0][1] = 1;
    for(int i = 1; ; i ++) {
        for(int j = 1; j < n; j ++) {
            dp[i][j] = dp[i-1][j];
        }
 
        LL thisModed = (lastModed*(10%n))%n;
        lastModed = thisModed;
        expr10 *= 10;
 
        if(dp[i-1][thisModed] == 0) {
            dp[i][thisModed] = expr10;
        }
        //cout << dp[i][thisModed] << endl;
 
        for(int j = 1; j < n; j ++) {
            if(dp[i-1][j] == 0) {
                continue;
            }
 
            LL candy = (j + thisModed)%n;
            if(dp[i][candy] == 0) {
                dp[i][candy] = expr10 + dp[i-1][j];
            }
        }
 
        if(dp[i][0] != 0) {
            return dp[i][0];
        }
    }
    return 1;
}
 
int main() {
    freopen("input.txt", "r", stdin);
    int n;
    while(scanf("%d", &n) != EOF && n != 0) {
        LL res = cal(n);
        printf("%lld\n", res);
    }
    return 0;
}

  

POJ 1426 Find the Multiple(二维DP),布布扣,bubuko.com

POJ 1426 Find the Multiple(二维DP)

原文:http://www.cnblogs.com/zhouzhuo/p/3649208.html

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