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122 lines (103 loc) · 3.37 KB
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package atcoder.educational_dp;
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.Arrays;
import java.util.Random;
import java.util.StringTokenizer;
public final class U {
public static void main(String[] args) {
final FastScanner fs = new FastScanner();
final int n = fs.nextInt();
final int[][] grid = new int[n][n];
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
grid[i][j] = fs.nextInt();
}
}
Long[][] dp = new Long[n][1 << n];
System.out.println(dfs(grid, 0, 0, dp));
// System.out.println(Arrays.deepToString(dp));
}
private static long dfs(int[][] grid, int row, int bitmask, Long[][] dp) {
if (row == grid.length) {
return 0;
}
if (dp[row][bitmask] != null) {
return dp[row][bitmask];
}
long res = (long) -1e9;
for (int i = 0; i < grid[row].length; i++) {
if ((bitmask & (1 << i)) == 0) {
res = Math.max(res, grid[row][i] + dfs(grid, row + 1, bitmask | 1 << row, dp));
}
}
return dp[row][bitmask] = res;
}
static final class Utils {
public static void shuffleSort(int[] arr) {
shuffle(arr);
Arrays.sort(arr);
}
public static void shuffleSort(long[] arr) {
shuffle(arr);
Arrays.sort(arr);
}
public static void shuffle(int[] arr) {
final Random r = new Random();
for (int i = 0; i <= arr.length - 2; i++) {
final int j = i + r.nextInt(arr.length - i);
swap(arr, i, j);
}
}
public static void shuffle(long[] arr) {
final Random r = new Random();
for (int i = 0; i <= arr.length - 2; i++) {
final int j = i + r.nextInt(arr.length - i);
swap(arr, i, j);
}
}
public static void swap(int[] arr, int i, int j) {
final int t = arr[i];
arr[i] = arr[j];
arr[j] = t;
}
public static void swap(long[] arr, int i, int j) {
final long t = arr[i];
arr[i] = arr[j];
arr[j] = t;
}
private Utils() {}
}
static class FastScanner {
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
StringTokenizer st = new StringTokenizer("");
private String next() {
while (!st.hasMoreTokens()) {
try {
st = new StringTokenizer(br.readLine());
} catch (IOException e) {
//noinspection CallToPrintStackTrace
e.printStackTrace();
}
}
return st.nextToken();
}
int nextInt() {
return Integer.parseInt(next());
}
long nextLong() {
return Long.parseLong(next());
}
int[] nextIntArray(int n) {
final int[] a = new int[n];
for (int i = 0; i < n; i++) { a[i] = nextInt(); }
return a;
}
long[] nextLongArray(int n) {
final long[] a = new long[n];
for (int i = 0; i < n; i++) { a[i] = nextLong(); }
return a;
}
}
}