洛谷P2925 [USACO08DEC]干草出售Hay For Sale
题目描述
Farmer John suffered a terrible loss when giant Australian cockroaches ate the entirety of his hay inventory, leaving him with nothing to feed the cows. He hitched up his wagon with capacity C (1 <= C <= 50,000) cubic units and sauntered over to Farmer Don's to get some hay before the cows miss a meal.
Farmer Don had a wide variety of H (1 <= H <= 5,000) hay bales for sale, each with its own volume (1 <= V_i <= C). Bales of hay, you know, are somewhat flexible and can be jammed into the oddest of spaces in a wagon.
FJ carefully evaluates the volumes so that he can figure out the largest amount of hay he can purchase for his cows.
Given the volume constraint and a list of bales to buy, what is the greatest volume of hay FJ can purchase? He can't purchase partial bales, of course. Each input line (after the first) lists a single bale FJ can buy.
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?
输入输出格式
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.
输入输出样例
7 3 2 6 5
7
说明
The wagon holds 7 volumetric units; three bales are offered for sale with volumes of 2, 6, and 5 units, respectively.
Buying the two smaller bales fills the wagon.
01背包。常数看着挺大但是不会T
1 /*by SilverN*/ 2 #include<algorithm> 3 #include<iostream> 4 #include<cstring> 5 #include<cstdio> 6 #include<cmath> 7 #include<vector> 8 using namespace std; 9 int read(){ 10 int x=0,f=1;char ch=getchar(); 11 while(ch<'0' || ch>'9'){if(ch=='-')f=-1;ch=getchar();} 12 while(ch>='0' && ch<='9'){x=x*10+ch-'0';ch=getchar();} 13 return x*f; 14 } 15 int f[50010]; 16 int n,c,v[5010]; 17 int main(){ 18 c=read();n=read(); 19 int i,j; 20 for(i=1;i<=n;i++)v[i]=read(); 21 f[0]=1; 22 for(i=1;i<=n;i++){ 23 for(j=c;j>=v[i];j--){ 24 f[j]|=f[j-v[i]]; 25 } 26 } 27 for(j=c;j>=0;j--){ 28 if(f[j]){ 29 printf("%d\n",j); 30 break; 31 } 32 } 33 return 0; 34 }