Copying Books +uva+二分+貪心
Before the invention of book-printing, it was very hard to make a copy of a book. All the contents had to be re-written by hand by so called scribers. The scriber had been given a book and after several months he finished its copy. One of the most famous scribers lived in the 15th century and his name was Xaverius Endricus Remius Ontius Xendrianus (Xerox
Once upon a time, there was a theater ensemble that wanted to play famous Antique Tragedies. The scripts of these plays were divided into many books and actors needed more copies of them, of course. So they hired many scribers to make copies of these books.
Imagine you have m
Input
The input consists of N cases. The first line of the input contains only positive integer N. Then follow the cases. Each case consists of exactly two lines. At the first line, there are two integers m and k, . At the second line, there are integers separated by spaces. All these values are positive and less than 10000000.
For each case, print exactly one line. The line must contain the input succession divided into exactly k parts such that the maximum sum of a single part should be as small as possible. Use the slash character (`/') to separate the parts. There must be exactly one space character between any two successive numbers and between the number and the slash.
If there is more than one solution, print the one that minimizes the work assigned to the first scriber, then to the second scriber etc. But each scriber must be assigned at least one book.
2 9 3 100 200 300 400 500 600 700 800 900 5 4 100 100 100 100 100
100 200 300 400 500 / 600 700 / 800 900 100 / 100 / 100 / 100 100
解決方案:詳解見白書p151
程式碼:
#include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
using namespace std;
int p[505];
bool vis[505];
int k,m,Max;
long long sum;
int judge(int mid){
int sum=0,cnt=1;
for(int i=0;i<k;i++){
if((sum+p[i])>mid){i--;sum=0;cnt++;continue;}
sum+=p[i];
}
return cnt;
}
int main(){
int t;
scanf("%d",&t);
while(t--){
scanf("%d%d",&k,&m);
Max=0,sum=0;
int i;
for(i=0;i<k;i++){
scanf("%d",&p[i]);
if(p[i]>Max) Max=p[i];
sum+=p[i];
}
long long low=Max,high=sum,mid;
while(low<high){
mid=low+(high-low)/2;
if(judge(mid)<=m){
high=mid;
}
else low=mid+1;
}
long long sum=0;
int group=0;
memset(vis,false,sizeof(vis));
for(int i=k-1;i>=0;i--){
if(sum+p[i]>low){i++;sum=0;vis[i]=true;group++;continue;}
sum+=p[i];
if(m-group==i+1){
for(int j=1;j<=i;j++){
vis[j]=true;
}
break;
}
}///值得注意的是要從後往前分,應為它要求最前的分得的工作最少。
for(int i=0;i<k;i++){
if(vis[i]){printf("/ ");}
printf("%d%c",p[i],i==k-1?'\n':' ');
}
}
return 0;}