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Home » Practice(easy) » Trip

Trip

Problem code: TRIP

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All submissions for this problem are available.

You are starting out on a long (really long) trip. On the way, there are N gas stations, the locations of which are given as a_1,a_2,...,a_N. Initially you are located at the gas station at a_1, and your destination is at location a_N. Your car can only store enough fuel to travel atmost M units without refilling. You can stop at any station and refill the car by any amount. Now you wish to plan your trip such that the number of intermediate stops needed to reach the destination is minimum, and also how many ways are there to plan your trip accordingly.

Input :

The first line two space seperated integers N and M. N lines follow, and the ith line has the value a_i (0 <= a_i <= 1000000000). The input will be such that a solution will always exist.

Output :

Output two space seperated integers : The least number of stops, and the number of ways to plan the trip which uses the least number of stops. Output this value modulo 1000000007.

Sample Input :

6 3
0
1
3
4
7
10

Sample Output :

3 2

Constraints :

2 <= N <= 1000000
1 <= M <= 1000
a_1 < a_2 < .. < a_N


Author: syco
Date Added: 20-03-2010
Time Limit: 2 sec
Source Limit: 50000 Bytes
Languages: ADA, ASM, BASH, BF, C, C99 strict, CAML, CLOJ, CLPS, CPP 4.0.0-8, CPP 4.3.2, CS2, D, ERL, F#, FORT, GO, HASK, ICK, ICON, JAR, JAVA, JS, LISP clisp, LISP sbcl, LUA, NEM, NICE, PAS fpc, PAS gpc, PERL, PERL6, PHP, PIKE, PRLG, PYTH, PYTH 3.1.2, RUBY, SCALA, SCM guile, SCM qobi, ST, TEXT, WSPC


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Comments

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The test cases are not good

cybersharp @ 13 Apr 2010 11:51 PM

The test cases are not good enough. I submitted a wrong program and it got ac.

I have taken N upto 1000000

dhiman_nikhil @ 4 Sep 2010 02:22 AM

I have taken N upto 1000000 and M as 999[Max value taken]

I am getting result without any exception.

Why i am getting runtime exception from your end.

Is that i have to put some memory constraints before running my script.

can you please provide

raju_bits1 @ 15 Sep 2010 02:52 PM

can you please provide another test case which has the number of ways more than 2

What d o you mean by number of wyas

i understand that it is

2 for all problems

one is from start

one from ending

am i wrong?

can anyone please suggest me

 

5 6 0 4 5 6 10 You cannot go

triplem @ 16 Sep 2010 04:45 AM

5 6
0
4
5
6
10

You cannot go directly from the start to the end, because they are too far apart. You can however get there with 1 intermediate stop, and there are three ways of doing so: 0-4-10, 0-5-10, 0-6-10.

The correct output is 1 3.

what is wrong in my solution

spgokul @ 21 Sep 2010 07:38 PM

what is wrong in my solution ???

pls anyone help me....

#include<stdio.h>
main()
{
long no_state , in_value;
long lower,upper,count=0,least=-1,state;
scanf("%ld %ld",&no_state,&in_value);
count=no_state;
if((no_state>1)&&(in_value>0))
{
while(no_state>0)
{
scanf("%ld",&state);
if(count==no_state)
lower=state;

if(state<=in_value)
least++;

if(no_state==1)
upper=state;
no_state--;
}
if((upper-lower)<=in_value)
printf("%ld %ldn",0,1);
else
printf("%ld %ldn",((upper-lower)/in_value),least);
}
return 0;
}

Admin here is my

nntnag17 @ 24 Sep 2010 01:35 AM
Admin here is my code http://www.codechef.com/viewsolution/336975 i m getting TLE even with the most efficient algorithms ,what can be the problem , can there be any problem with the inputs ?

Dear Admin I was just

pyne.suvodeep @ 18 Feb 2011 12:10 PM

Dear Admin

I was just wondering the way different languages are tested. If I look at my code, I don't find any complexity difference with the solution of a guy who consumed 0M and 0sec to find the solution. Difference is I solved it in Java and his solution is in C++.

I wonder why there isn't a single accepted solution in Java.

 

Regards,

wonder why there is no Java

pyne.suvodeep @ 18 Feb 2011 08:14 PM

wonder why there is no Java solution to this problem

@admin the judge gives 0M to

iiit @ 22 Feb 2011 10:10 PM

@admin

the judge gives 0M to my programme which is not true also it gives TLE whereas for input of size of order 10^6 it works fast on my pc

pls respond

my soln takes same time as

iiit @ 22 Feb 2011 11:32 PM

my soln takes same time as that of anant

any hint to improve the soln

pls respond

where i can find editorials

vagrawal13 @ 21 May 2012 01:01 PM
where i can find editorials for this problem?

SUCCESSFUL SUBMISSIONS FOR THIS PROBLEM:

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Program should read from standard input and write to standard output. After you submit a solution you can see your results by clicking on the [My Submissions] tab on the problem page. Below are the possible results:

 

  • Accepted Your program ran successfully and gave a correct answer. If there is a score for the problem, this will be displayed in parenthesis next to the checkmark.
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