A - Ice Tea Store


Time limit : 2sec / Memory limit : 256MB

Score : 300 points

Problem Statement

You've come to your favorite store Infinitesco to buy some ice tea.

The store sells ice tea in bottles of different volumes at different costs. Specifically, a 0.25-liter bottle costs Q yen, a 0.5-liter bottle costs H yen, a 1-liter bottle costs S yen, and a 2-liter bottle costs D yen. The store has an infinite supply of bottles of each type.

You want to buy exactly N liters of ice tea. How many yen do you have to spend?

Constraints

  • 1≤Q,H,S,D≤108
  • 1≤N≤109
  • All input values are integers.

Input

Input is given from Standard Input in the following format:

Q H S D
N

Output

Print the smallest number of yen you have to spend to buy exactly N liters of ice tea.


Sample Input 1

20 30 70 90
3

Sample Output 1

150

Buy one 2-liter bottle and two 0.5-liter bottles. You'll get 3 liters for 90+30+30=150 yen.


Sample Input 2

10000 1000 100 10
1

Sample Output 2

100

Even though a 2-liter bottle costs just 10 yen, you need only 1 liter. Thus, you have to buy a 1-liter bottle for 100 yen.


Sample Input 3

10 100 1000 10000
1

Sample Output 3

40

Now it's better to buy four 0.25-liter bottles for 10+10+10+10=40 yen.


Sample Input 4

12345678 87654321 12345678 87654321
123456789

Sample Output 4

1524157763907942
    #include <iostream>
#include <algorithm>
#include <cstring>
#include <cstdio>
#include <vector>
#include <queue>
#include <stack>
#include <cstdlib>
#include <iomanip>
#include <cmath>
#include <cassert>
#include <ctime>
#include <map>
#include <set>
using namespace std;
#define lowbit(x) (x&(-x))
#define max(x,y) (x>=y?x:y)
#define min(x,y) (x<=y?x:y)
#define MAX 100000000000000000
#define MOD 1000000007
#define pi acos(-1.0)
#define ei exp(1)
#define PI 3.141592653589793238462
#define ios() ios::sync_with_stdio(false)
#define INF 1044266558
#define mem(a) (memset(a,0,sizeof(a)))
typedef long long ll;
ll a[],n;
int main()
{
while(scanf("%lld%lld%lld%lld",&a[],&a[],&a[],&a[])!=EOF)
{
scanf("%lld",&n);
for(int i=;i<;i++) a[i]=min(a[i],*a[i-]);
printf("%lld\n",n/*a[]+(n&)*a[]);
}
return ;
}

B - Reverse and Compare


Time limit : 2sec / Memory limit : 256MB

Score : 500 points

Problem Statement

You have a string A=A1A2An consisting of lowercase English letters.

You can choose any two indices i and j such that 1≤ijn and reverse substring AiAi+1Aj.

You can perform this operation at most once.

How many different strings can you obtain?

Constraints

  • 1≤|A|≤200,000
  • A consists of lowercase English letters.

Input

Input is given from Standard Input in the following format:

A

Output

Print the number of different strings you can obtain by reversing any substring in A at most once.


Sample Input 1

aatt

Sample Output 1

5

You can obtain aatt (don't do anything), atat (reverse A[2..3]), atta (reverse A[2..4]), ttaa (reverse A[1..4]) and taat (reverse A[1..3]).


Sample Input 2

xxxxxxxxxx

Sample Output 2

1

Whatever substring you reverse, you'll always get xxxxxxxxxx.


Sample Input 3

abracadabra

Sample Output 3

44
预处理。
    #include <iostream>
#include <algorithm>
#include <cstring>
#include <cstdio>
#include <vector>
#include <queue>
#include <stack>
#include <cstdlib>
#include <iomanip>
#include <cmath>
#include <cassert>
#include <ctime>
#include <map>
#include <set>
using namespace std;
#define lowbit(x) (x&(-x))
#define max(x,y) (x>=y?x:y)
#define min(x,y) (x<=y?x:y)
#define MAX 100000000000000000
#define MOD 1000000007
#define pi acos(-1.0)
#define ei exp(1)
#define PI 3.141592653589793238462
#define ios() ios::sync_with_stdio(false)
#define INF 1044266558
#define mem(a) (memset(a,0,sizeof(a)))
typedef long long ll;
ll a[][],ans;
char s[];
int main()
{
while(scanf("%s",s+)!=EOF)
{
memset(a,,sizeof(a));
int len=strlen(s+);
ans=;
for(int i=;i<=len;i++)
{
for(int j=;j<;j++)
a[i][j]=a[i-][j];
a[i][s[i]-'a']++;
}
for(int i=;i<=len;i++)
ans+=len-i-a[len][s[i]-'a']+a[i][s[i]-'a'];
printf("%lld\n",ans+);
}
return ;
}

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