ural 1073. Square Country 完全背包

时间：2015-01-17 01:16:52 阅读：172 评论：0 收藏：0 [点我收藏+]

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1073. Square Country

Time limit: 1.0 second
Memory limit: 64 MB

There live square people in a square country. Everything in this country is square also. Thus, the Square Parliament has passed a law about a land. According to the law each citizen of the country has a right to buy land. A land is sold in squares, surely. Moreover, a length of a square side must be a positive integer amount of meters. Buying a square of land with a side a one pays a2 quadrics (a local currency) and gets a square certificate of a landowner.

One citizen of the country has decided to invest all of his N quadrics into the land. He can, surely, do it, buying square pieces 1 × 1 meters. At the same time the citizen has requested to minimize an amount of pieces he buys: "It will be easier for me to pay taxes," — he has said. He has bought the land successfully.

Your task is to find out a number of certificates he has gotten.

Input

The only line contains a positive integer N ≤ 60 000 , that is a number of quadrics that the citizen has invested.

Output

The only line contains a number of certificates that he has gotten.

Sample

input	output
344	3

Problem Author: Stanislav Vasilyev
Problem Source: Ural State Univerisity Personal Contest Online February‘2001 Students Session

Tags: dynamic programming ( )

给你一个数n，让你求这个数最少由多少个数的平方构成。

转为完全背包问题就是：n代表背包的容量，每个数的平方代表要占用的容量，价值为1，求最小价值。

//0.031	434 KB
#include<stdio.h>
#include<string.h>
#include<algorithm>
#define inf 0x3f3f3f3f
using namespace std;
int dp[60007];
int main()
{
    memset(dp,inf,sizeof(dp));
    dp[0]=0;
    for(int i=1; i<=250; i++)
        for(int j=i*i; j<=60000; j++)
            dp[j]=min(dp[j],dp[j-i*i]+1);
    int n;
    while(scanf("%d",&n)!=EOF)
    {
        printf("%d\n",dp[n]);
    }
    return 0;
}

ural 1073. Square Country 完全背包

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原文地址：http://blog.csdn.net/crescent__moon/article/details/42788329

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