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61 changes: 61 additions & 0 deletions 0224LJH/16 BOJ 가장 큰 값.md
Original file line number Diff line number Diff line change
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```java
import java.io.*;
import java.util.*;

public class Main {

static int NEG_INF = Integer.MIN_VALUE / 4;
static int size,groupCnt;
static int[] a;

public static void main(String[] args) throws Exception {
init();
process();

}

public static void init() throws IOException {
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
StringTokenizer st = new StringTokenizer(br.readLine());
size = Integer.parseInt(st.nextToken());
groupCnt = Integer.parseInt(st.nextToken());

a = new int[size + 1];
st = new StringTokenizer(br.readLine());
for (int i = 1; i <= size; i++) a[i] = Integer.parseInt(st.nextToken());
}

public static void process(){

int[] prefixSum = new int[size + 1];
for (int i = 1; i <= size; i++) prefixSum[i] = prefixSum[i - 1] + a[i];


int[][] dp = new int[size + 1][groupCnt + 1];
for (int i = 0; i <= size; i++) {
Arrays.fill(dp[i], NEG_INF);
dp[i][0] = 0;
}
dp[0][0] = 0;

// dp[i][j] = max(dp[i-1][j], max_s(dp[s-1][j-1] + (ps[i]-ps[s-1])))
// = max(dp[i-1][j], (max_s(dp[s-1][j-1] - ps[s-1])) + ps[i])
for (int j = 1; j <= groupCnt; j++) {
int best = NEG_INF;
for (int i = 1; i <= size; i++) {
best = Math.max(best, dp[i - 1][j - 1] - prefixSum[i - 1]);

dp[i][j] = Math.max(dp[i][j], dp[i - 1][j]);

if (best > NEG_INF) {
dp[i][j] = Math.max(dp[i][j], best + prefixSum[i]);
}
}
}

System.out.println(dp[size][groupCnt]);
}
}


```