Codeforces Round #350 (Div. 2)

A. Holidays

time limit per test
1 second

memory limit per test
256 megabytes

input
standard input

output
standard output

On the planet Mars a year lasts exactly n days (there are no leap years on Mars). But Martians have the same weeks as earthlings — 5
work days and then 2 days off. Your task is to determine the minimum possible and the maximum possible number of days off per year on Mars.

Input

The first line of the input contains a positive integer n (1 ≤ n ≤ 1 000 000) —
the number of days in a year on Mars.

Output

Print two integers — the minimum possible and the maximum possible number of days off per year on Mars.

Examples

input

14

output

4 4

input

2

output

0 2

Note

In the first sample there are 14 days in a year on Mars, and therefore independently of the day a year starts with there will be exactly 4days
off .

In the second sample there are only 2 days in a year on Mars, and they can both be either work days or days off.

#include<stdio.h>
#include<string.h>
#include<algorithm>
using namespace std;
#define LL __int64
const int maxm=1e5+10;
int a[maxm];
int main()
{
int n;
while(scanf("%d",&n)!=EOF)
{
int sum1=0,sum2=0;
sum1=(n/7)*2;
if(n%7>=6)
sum1++;
sum2=(n/7)*2;
if(n%7==0)
sum2==sum2;
else if(n%7==1)
sum2++;
else if(n%7>=2)
sum2+=2;
printf("%d %d\n",sum1,sum2);
}
return 0;
}

B. Game of Robots

time limit per test
1 second

memory limit per test
256 megabytes

input
standard input

output
standard output

In late autumn evening n robots gathered in the cheerful company of friends. Each robot has a unique identifier — an integer from 1 to109.

At some moment, robots decided to play the game "Snowball". Below there are the rules of this game. First, all robots stand in a row. Then the first robot says his identifier. After that the second robot says the identifier of the first robot and then says
his own identifier. Then the third robot says the identifier of the first robot, then says the identifier of the second robot and after that says his own. This process continues from left to right until the n-th
robot says his identifier.

Your task is to determine the k-th identifier to be pronounced.

Input

The first line contains two positive integers n and k (1 ≤ n ≤ 100 000, 1 ≤ k ≤ min(2·109, n·(n + 1) / 2).

The second line contains the sequence id1, id2, ..., idn (1 ≤ idi ≤ 109) —
identifiers of roborts. It is guaranteed that all identifiers are different.

Output

Print the k-th pronounced identifier (assume that the numeration starts from 1).

Examples

input

2 21 2

output

1

input

4 5
10 4 18 3

output

4

Note

In the first sample identifiers of robots will be pronounced in the following order: 1, 1, 2.
As k = 2, the answer equals to 1.

In the second test case identifiers of robots will be pronounced in the following order: 10, 10, 4, 10, 4, 18, 10, 4, 18, 3.
As k = 5, the answer equals to 4.

#include<stdio.h>
#include<string.h>
#include<algorithm>
using namespace std;
#define LL __int64const LL maxm=1e7+10;
LL d[maxm];
LL a[maxm];
int main()
{
LL n,k;
while(scanf("%I64d%I64d",&n,&k)!=EOF)
{
for(LL i=1;i<=n;i++)
scanf("%I64d",&d[i]);
LL ans=0;
LL cnt=0;
for(LL i=1;i<=2e9+10;i+=ans)
{
a[cnt++]=i;
ans++;
}
LL x=upper_bound(a,a+cnt,k)-a;
// printf("%d\n",a[x-1]);
printf("%I64d\n",d[k-a[x-1]+1]);
}
return 0;
}

C. Cinema

time limit per test
2 seconds

memory limit per test
256 megabytes

input
standard input

output
standard output

Moscow is hosting a major international conference, which is attended by n scientists from different countries. Each of the scientists
knows exactly one language. For convenience, we enumerate all languages of the world with integers from 1 to 109.

In the evening after the conference, all n scientists decided to go to the cinema. There are m movies
in the cinema they came to. Each of the movies is characterized by two distinct numbers — the index of audio language and the index of subtitles language. The scientist, who came to the movie,
will be very pleased if he knows the audio language of the movie, will be almost satisfied if he knows the language of subtitles
and will be not satisfied if he does not know neither one nor the other (note that the audio language and the subtitles language for each movie are always different).

Scientists decided to go together to the same movie. You have to help them choose the movie, such that the number of very pleased scientists is maximum possible. If there are several such movies, select among them one that will maximize the number of almost
satisfied scientists.

Input

The first line of the input contains a positive integer n (1 ≤ n ≤ 200 000) —
the number of scientists.

The second line contains n positive integers a1, a2, ..., an (1 ≤ ai ≤ 109),
where ai is
the index of a language, which the i-th scientist knows.

The third line contains a positive integer m (1 ≤ m ≤ 200 000) —
the number of movies in the cinema.

The fourth line contains m positive integers b1, b2, ..., bm (1 ≤ bj ≤ 109),
where bj is
the index of the audio language of the j-th movie.

The fifth line contains m positive integers c1, c2, ..., cm (1 ≤ cj ≤ 109),
where cj is
the index of subtitles language of the j-th movie.

It is guaranteed that audio languages and subtitles language are different for each movie, that is bj ≠ cj.

Output

Print the single integer — the index of a movie to which scientists should go. After viewing this movie the number of very pleased scientists should be maximum possible. If in the cinema there are several such movies, you need to choose among them one, after
viewing which there will be the maximum possible number of almost satisfied scientists.

If there are several possible answers print any of them.

Examples

input

3
2 3 223 22 3

output

2

input

6
6 3 1 1 3 7
5
1 2 3 4 5
2 3 4 5 1

output

1

Note

In the first sample, scientists must go to the movie with the index 2, as in such case the 1-th
and the 3-rd scientists will be very pleased and the 2-nd
scientist will be almost satisfied.

In the second test case scientists can go either to the movie with the index 1 or the index 3.
After viewing any of these movies exactlytwo scientists will be very pleased and all the others will be not satisfied.

#include<stdio.h>
#include<string.h>
#include<string>
#include<iostream>
#include<map>
#include<algorithm>
using namespace std;
#define LL __int64const LL maxm=1e6+10;
const LL inf=1e10+10;
LL b[maxm];
LL c[maxm];
map<LL,LL>q;
int main()
{
LL n;
while(scanf("%I64d",&n)!=EOF)
{
q.clear();
LL a;
for(LL i=0;i<n;i++)
{
scanf("%I64d",&a);
q[a]++;
}
LL m;
scanf("%I64d",&m);
for(LL i=0;i<m;i++)
{
scanf("%I64d",&b[i]);
}
for(LL i=0;i<m;i++)
{
scanf("%I64d",&c[i]);
}
LL M=0;
LL index=0;
for(LL i=0;i<m;i++)
{
if(M<=q[b[i]]*inf+q[c[i]])
{
M=q[b[i]]*inf+q[c[i]];
index=i+1;
}
}
printf("%I64d\n",index);
}
return 0;
}