Uva 12325 Zombie's Treasure Chest (贪心,分类讨论)

时间:2024-04-28 22:39:05

题意:

你有一个体积为N的箱子和两种数量无限的宝物。宝物1的体积为S1,价值为V1;宝物2的体积为S2,价值为V2。输入均为32位带符号的整数。你的任务是最多能装多少价值的宝物?

分析:

分类枚举, 取两者体积的最小公倍数, 看看在同体积不同数量的两种物品哪个价值大, 价值小的一定不会拿超过这个数目。

#include<cstdio>
#include<iostream>
#include<vector>
#include<string>
#include<cstring>
#include<algorithm>
using namespace std;
int main(){
// freopen("1.txt","r", stdin);
// freopen("2.txt","w", stdout);
long long t;
cin >> t;
long long kase = ;
while(t--){
long long n, s1, v1, s2, v2;
cin >> n >> s1 >> v1 >> s2 >> v2;
long long max_val = -;
if(s2 * v1 > s1 * v2){//说明物品2不会挑选超过s1个,枚举 物品2
long long k = s1; k = min(s1, n/s2);
for(long long t = k; t >= ; t--){
long long val = t * v2;
long long remain_s = n - t * s2; if(remain_s >= s1) val += (remain_s/s1) * v1; max_val = max(max_val, val);
}
}else{//说明物品1不会挑选超过s2个,枚举 物品1
long long k = s2;
k = min(s2, n/s1); for(long long t = k; t >= ; t--){
long long val = t * v1;
long long remain_s = n - t * s1;
if(remain_s >= s2) val += (remain_s/s2) * v2;
max_val = max(max_val, val);
}
}
cout << "Case #" << kase++ << ": " << max_val << "\n";
}
}