Hdu 4104 Discount (mathematical thinking induction)

Source: Internet
Author: User



Problem Description


All the shops use discount to attract MERs, but some shops doesn' t give direct discount on their goods, instead, they give discount only when you bought more than a certain amount of goods. assume a shop offers a 20% off if your bill is more than 100 yuan, and with more than 500 yuan, you can get a 40% off. after you have chosen a good of 400 yuan, the best suggestion for you is to take something else to reach 500 yuan and get the 40% off.
For the customers 'convenience, the shops often offer some low-price and useful items just for reaching such a condition. but there are still when customers complain that they can't reach exactly the budget they want. so, the manager wants to know, with the items they offer, what is the minimum budget that cannot be reached. in addition, although the items are very useful, no one wants to buy the same thing twice.
 
InputThe input consists several testcases.
The first line contains one integer N (1 <= N <= 1000), the number of items available.
The second line contains N integers Pi (0 <= Pi <= 10000), represent the ith item's price.

 
OutputPrint one integer, the minimum budget that cannot be reached.
 
Sample Input
41 2 3 4
 
Sample Output
11
 
Source2011 Alibaba-Cup Campus Contest
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#include <iostream>#include <cstdio>#include <cstring>#include <algorithm>#include <cmath>#include <string>#include <map>#include <stack>#include <vector>#include <set>#include <queue>//#pragma comment (linker,"/STACK:102400000,102400000")#define maxn 1005#define mod 1000000007#define INF 0x3f3f3f3fusing namespace std;typedef long long ll;int n,m,ans,cnt,flag,sum;int a[maxn];int dp[maxn];void solve(){    int i,j,u,v;    sum=0;    for(i=1;i<=n;i++)    {        if(a[i]>sum+1)        {            ans=sum+1;            return ;        }        sum+=a[i];    }    ans=sum+1;}int main(){    int i,j;    while(~scanf("%d",&n))    {        for(i=1;i<=n;i++)        {            scanf("%d",&a[i]);        }        sort(a+1,a+n+1);        solve();        printf("%d\n",ans);    }    return 0;}


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