Codeforces 467C. George and Job, codeforces467c
DP ....
C. George and Jobtime limit per test1 secondmemory limit per test256 megabytesinputstandard inputoutputstandard output
The new ITone 6 has been released recently and George got really keen to buy it. unfortunately, he didn't have enough money, so George was going to work as a programmer. now he faced the following problem at the work.
Given a sequenceNIntegersP1, bytes,P2, middle..., middle ,...,PN. You are to chooseKPairs of integers:
[
L1, bytes,
R1], region [
L2, bytes,
R2], numbers..., numbers [
L
K, Bytes,
R
K] (1 limit ≤ limit
L1 bytes ≤ bytes
R1 worker <worker
L2 bytes ≤ bytes
R2 rows <values... rows <values
L
KLimit ≤ limit
R
KLimit ≤ limit
N;
R
IAccept-Encoding-
L
IBytes + bytes 1 records = bytes
M), Then ),
In such a way that the value of sum is maximal possible. Help George to interact with the task.
Input
The first line contains three integersN,MAndK(1 limit ≤ limit (MLimit × limitK) Bytes ≤ bytesNLimit ≤00005000). The second line containsNIntegersP1, bytes,P2, middle..., middle ,...,PN(0 bytes ≤ bytesPILimit ≤ limit 109 ).
Output
Print an integer in a single line-the maximum possible value of sum.
Sample test (s) input
5 2 11 2 3 4 5
Output
9
Input
7 1 32 10 7 18 5 33 0
Output
61
/** * Created by ckboss on 14-9-19. */import java.util.*;public class GeorgeandJob { static int n,m,k; static long[] a = new long[5050]; static long[] sum = new long[5050]; static long[][] dp = new long[5050][3]; public static void main(String[] args){ Scanner in = new Scanner(System.in); n=in.nextInt(); m=in.nextInt(); k=in.nextInt(); for(int i=1;i<=n;i++){ a[i]=in.nextInt(); sum[i]=sum[i-1]+a[i]; } for(int i=m;i<=n;i++){ dp[i][1]=Math.max(dp[i-1][1],sum[i]-sum[i-m]); } for(int j=2;j<=k;j++){ for(int i=j*m;i<=n;i++){ dp[i][j%2]=Math.max(dp[i-m][(j-1)%2]+sum[i]-sum[i-m],dp[i-1][j%2]); } } long ans=0; for(int i=k*m;i<=n;i++){ ans=Math.max(ans,dp[i][k%2]); } System.out.println(ans); }}