2013
11-12

# Monthly Expense

Farmer John is an astounding accounting wizard and has realized he might run out of money to run the farm. He has already calculated and recorded the exact amount of money (1 ≤ moneyi ≤ 10,000) that he will need to spend each day over the next N (1 ≤ N ≤ 100,000) days.

FJ wants to create a budget for a sequential set of exactly M (1 ≤ MN) fiscal periods called "fajomonths". Each of these fajomonths contains a set of 1 or more consecutive days. Every day is contained in exactly one fajomonth.

FJ’s goal is to arrange the fajomonths so as to minimize the expenses of the fajomonth with the highest spending and thus determine his monthly spending limit.

Line 1: Two space-separated integers: N and M

Lines 2..N+1: Line i+1 contains the number of dollars Farmer John spends on the ith day

Line 1: The smallest possible monthly limit Farmer John can afford to live with.

7 5
100
400
300
100
500
101
400

500

If Farmer John schedules the months so that the first two days are a month, the third and fourth are a month, and the last three are their own months, he spends at most \$500 in any month. Any other method of scheduling gives a larger minimum monthly limit.

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import java.util.Scanner;
public class Main
{
public static void main(String[] args)
{
Scanner in=new Scanner(System.in);
int a=in.nextInt();
int b=in.nextInt();
int[] c=new int[a];
int total=0;
int min=0;
for(int i=0;i< a;i++)
{
c[i]=in.nextInt();
total+=c[i];
if(c[i]>min) min=c[i];
}
int max=total;
while(max>min)
{
int mid=(max+min)/2;
int t=0;
int count=0;
for(int i=0;i< a;i++)
{
t+=c[i];
if(t>mid)
{
count++;
t=c[i];
}
}
if(count< b) max=mid;
else min=mid+1;
}
System.out.println(min);
}
}

1. 有一点问题。。后面动态规划的程序中
int dp[n+1][W+1];
会报错 提示表达式必须含有常量值。该怎么修改呢。。