【题目描述:】
约翰遭受了重大的损失:蟑螂吃掉了他所有的干草,留下一群饥饿的牛.他乘着容量为C(1≤C≤50000)个单位的马车,去顿因家买一些干草. 顿因有H(1≤H≤5000)包干草,每一包都有它的体积Vi(l≤Vi≤C).约翰只能整包购买,
他最多可以运回多少体积的干草呢?
【输入格式:】
Line 1: Two space-separated integers: C and H
Lines 2..H+1: Each line describes the volume of a single bale: V_i
【输出格式:】
- Line 1: A single integer which is the greatest volume of hay FJ can purchase given the list of bales for sale and constraints.
[算法分析:]
一看就是01背包,但是交上板子以后TLE了,加了炒鸡快读才刚好1000ms卡过
于是考虑优化算法:
类似于搜索的剪枝,对f[j]进行处理的时候,如果f[j]=c(最大容量)了,那输出c直接结束程序。
优化前:1000ms
优化后:108ms
[Code:]
#include<iostream>
#include<cstdio>
#define re register
using namespace std;
const int MAXN = 5000 + 1;
const int MAXC = 50000 + 1;
int n, c, v[MAXN];
int f[MAXC];
inline char gc()
{
static char buff[1000000],*S=buff,*T=buff;
return S==T&&(T=(S=buff)+fread(buff,1,1000000,stdin),S==T)?EOF:*S++;
}
inline int read() {
int x = 0; char ch = gc();
while(!isdigit(ch)) ch = gc();
while(isdigit(ch))
x = (x << 3) + (x << 1) + ch - 48, ch = gc();
return x;
}
int main() {
c = read(), n = read();
for(re int i=1; i<=n; ++i)
v[i] = read();
for(re int i=1; i<=n; ++i)
for(re int j=c; j>=v[i]; --j) {
f[j] = max(f[j], f[j-v[i]]+v[i]);
if(f[j] == c) {
printf("%d", c);
return 0;
}
}
printf("%d", f[c]);
}