ZOJ 1025 Wooden Sticks(快排+贪心)
题目链接:http://acm.zju.edu.cn/onlinejudge/showProblem.do?problemId=25
题目大意:机器运送n个木条,每个木条有一个长度和重量。运送第一根木条需要1分钟的准备时间,接下来如果后一根木条的长度和重量都大于等于前一根木条,则不需要准备时间,否则需要1分钟的准备时间,求运完所有木条最少时间。 比如有5根木条,长度和重量分别是(4,9), (5,2), (2,1), (3,5), (1,4),则需要2分钟就可运完第1分钟运(1,4), (3,5), (4,9);第2分钟运 (2,1), (5,2)
分析:快速排序加贪心。首先按照木条长度从小到大排,第二关键字是重量,这时在f[]中做贪心,若遇到比其中一个大的就直接在里面覆盖,否则计数器p++,并把该数压入f[]
比如(4,9), (5,2), (2,1), (3,5), (1,4),排序后是(1,4),(2,1),(3,5),(4,9), (5,2), 这样以后主关键字是从小到大排的不需要考虑。
每步调试之后是:f[1]=4; f[2]=1; f[1]=5; f[1]=9; f[2]=5; 表示第1分钟运(1,4), (3,5), (4,9);第2分钟运 (2,1), (5,2)
代码如下:
# include<stdio.h>
# include<string.h>
# include<stdlib.h>
# define size struct node{
int l,w;
}data[size]; int f[size]; int cmp(const void *a,const void *b){
struct node *c = (node *)a;
struct node *d = (node *)b;
if(c->l == d->l)
return c->w - d->w;
return c->l - d->l;
} int main(){
int T;
int n,p,i,j,flag;
scanf("%d",&T);
while(T--){
scanf("%d",&n);
for(i=;i<n;i++)
scanf("%d%d",&data[i].l,&data[i].w);
qsort(data,n,sizeof(data[]),cmp);
p = ;
memset(f,,sizeof(f));
for(i=;i<n;i++){
flag = ;
//判断第i个数与f[]已存在的数的大小,若大则记录f[]中比它小的数的下标
for(j=;j<=p;j++)
if(data[i].w >= f[j] && f[j] != ){
flag = j;
break;
}
//原有数中不存在比当前数小的,则压入
if(flag==){
p++;
f[p] = data[i].w;
}
//存在则用当前数覆盖原来的
else
f[flag] = data[i].w;
}
printf("%d\n",p);
}
return ;
}
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