## 957 - Popes

All about problems in Volume 9. If there is a thread about your problem, please use it. If not, create one with its number in the subject.

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aha2007
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Posts: 10
Joined: Sun Jan 21, 2007 10:38 am

### 957 - Popes

It's seems to me the problem of maximum sum of continuous sub sequences of length m.
I know a linear algorithm when length m is not specified , but don't know how to extend it for
specified length m. Can any one kind enough to give me a linear time algorithm for this problem , or any link describing that algorithm.

sclo
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Location: Vancouver, BC, Canada
Contact:
It is even easier when m is fixed.
Let a be the number of popes elected in the year i.
Let f[0]=a[0], and f = f[i-1]+a for i>0, so f is a cumulative sum.
Consider the value of f[i+m-1]-f[i-1] for all i.

As for the algorithm for maximum consecutive sum, it is trivial to solve when all the elements of the array is non-negative.

helloneo
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Posts: 516
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Location: Seoul, Korea
Hello..~
Can anybody tell me what is wrong with my code..?
I'm getting WAs.. but I have no idea..

check is the number of occurences of 'i' and..
sum is the cumulative sum up to check

Code: Select all

``code removed``
Thanks..
Last edited by helloneo on Thu Jun 28, 2007 6:20 pm, edited 1 time in total.

Jan
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Location: Dhaka, Bangladesh
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Try the cases.

Input:

Code: Select all

``````11
20
20 numbers given in sample :)
12
20
20 numbers given in sample :)
17
20
20 numbers given in sample :)``````
Output:

Code: Select all

``````11 12 21
11 12 21
13 6 21``````
Hope the weird input set helps. .
Ami ekhono shopno dekhi...
HomePage

helloneo
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Posts: 516
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Location: Seoul, Korea
Thanks a lot..~
I got AC..

PS. very funny input.. It took some time to get the point..

Symon
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Joined: Thu Sep 09, 2010 12:09 am

### 957-Popes

I can't realize why I'm getting WA.
Please give me some input output.

Code: Select all

``````#include<iostream>
#include<algorithm>
using namespace std;

int main()
{
long int y,p,i,j,a[100005],cnt[1][3],max,increase;
while(scanf("%ld%ld",&y,&p)!=EOF)
{
max=-1;
increase=-1;
for(i=0;i<p;i++)
{
scanf("%ld",&a[i]);
if(i!=0&&a[i]<a[i-1])
{
increase=0;
}
}
if(increase==0)
{
sort(a,a+p);
}
for(i=0;i<p;i++)
{
cnt[0][2]=0;
for(j=i;j<p&&a[j]<=a[i]+(y-1);j++)
{
cnt[0][2]++;
}
if(max<cnt[0][2])
{
max=cnt[0][2];
cnt[0][0]=a[i];
cnt[0][1]=a[j-1];
}
}
printf("%ld %ld %ld\n\n",max,cnt[0][0],cnt[0][1]);
}
return 0;
}]``````
thanks...

Hammer Engineer
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Posts: 2
Joined: Fri Sep 13, 2013 8:37 am

### Re: 957 - Popes

Why RE ? Please help

Code: Select all

``````#include <iostream>
#include<vector>
#include<cstdio>
using namespace std;

int main()
{
freopen("input.txt", "r", stdin);

int span;

//scanf("%d",&span);
while ( scanf("%d",&span) != EOF ) {
vector<int> a(100001);
vector<int> F(100001);

int Y , year;
a[0] = F[0] = 0;

scanf("%d",&Y);

span -=1;
for(int i=1; i<=Y; i++)
{
scanf("%d",&year);
a[year] +=1;
}

for(int i=1;i<a.size();i++)
{
F[i] = (a[i] + F[i-1]);
}

int max=0,from , sum;
for(int i=1;i<F.size();i++)
{

if(i+span < F.size())
sum = F[i+span] - F[i-1];
else
sum = F[F.size()-1] - F[i-1];

if(sum > max)
{
max=sum;
from = i;
}
}

printf("%d %d %d\n", max , from , from+span);

}
return 0;
}
``````

brianfry713
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Posts: 5947
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Location: San Jose, CA, USA

### Re: 957 - Popes

Don't read from a file.
Check input and AC output for thousands of problems on uDebug!

Hammer Engineer
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Posts: 2
Joined: Fri Sep 13, 2013 8:37 am

### Re: 957 - Popes

@brainfry713 When i'm submitting code i'm removing freopen() [ sorry I did't mension that in code].
Is there any other problem that can end with a RE ?

brianfry713
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Posts: 5947
Joined: Thu Sep 01, 2011 9:09 am
Location: San Jose, CA, USA

### Re: 957 - Popes

year L <= 1,000,000
Check input and AC output for thousands of problems on uDebug!

omar.fmc
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Posts: 2
Joined: Sun Oct 05, 2014 11:00 pm

### Re: 957 - Popes

Hello all,
I'm getting RE and I can't find out the reason of that.
Here's my code:

Code: Select all

``````Accepted
``````
Appreciate your help

EDIT:
For those who are getting RE notice that P<=100000 in the judge's input (not 5000 as in the problem statement).
Last edited by omar.fmc on Tue Oct 07, 2014 10:57 pm, edited 2 times in total.

brianfry713
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Posts: 5947
Joined: Thu Sep 01, 2011 9:09 am
Location: San Jose, CA, USA

### Re: 957 - Popes

There is a case in the judge's input where P > 5000, but not one where P > 100000.
http://online-judge.uva.es/board/viewto ... &hilit=957
Check input and AC output for thousands of problems on uDebug!

omar.fmc
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Posts: 2
Joined: Sun Oct 05, 2014 11:00 pm

### Re: 957 - Popes

brianfry713 wrote:There is a case in the judge's input where P > 5000, but not one where P > 100000.
http://online-judge.uva.es/board/viewto ... &hilit=957
Thanks a lot. Got Accepted

morkoh
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Posts: 2
Joined: Sat Oct 18, 2014 7:22 pm

### Re:

Jan wrote:Try the cases.

Input:

Code: Select all

``````11
20
20 numbers given in sample :)
12
20
20 numbers given in sample :)
17
20
20 numbers given in sample :)``````
Output:

Code: Select all

``````11 12 21
11 12 21
13 6 21``````
Hope the weird input set helps. .
Could someone tell me how is this correct?
From years 11-21 we had 12 popes.
There was a pope elected in year 8 and he was alive up until year 12 when a new one was elected.
pope 5 was from 8-11, pope 6 in 12, pope 7 and 8 | 13-14, pope 9 15, pope 10 16, pope 11 in 17, in year 21 pope 16.
So, there were popes from 5 to 16 on a period of 11 years. Pope 5 being in year 11, and pope 16 in year 21.
21 - 11 + 1 = 11 years...
Shouldn't the answer be 12 8 21, instead of 11 12 21?

It is obvious that the text of the task is completely unclear. There's no limit between difference of election years of first and last pope.
And somehow all of the answers automatically assume that last-first+1 <= Y.

brianfry713
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Posts: 5947
Joined: Thu Sep 01, 2011 9:09 am
Location: San Jose, CA, USA

### Re: 957 - Popes

Input:

Code: Select all

``````11
20
1
2
3
6
8
12
13
13
15
16
17
18
19
20
20
21
25
26
30
31

12
20
1
2
3
6
8
12
13
13
15
16
17
18
19
20
20
21
25
26
30
31

17
20
1
2
3
6
8
12
13
13
15
16
17
18
19
20
20
21
25
26
30
31``````
Correct output:

Code: Select all

``````11 12 21
11 12 21
13 6 21
``````
From years 12 to 21 there were 11 popes elected. There was no pope elected in year 11. We are only interested in the years of election, not the number of popes in office during the time frame. The problem statement is misleading.
Check input and AC output for thousands of problems on uDebug!