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48 lines (43 loc) · 2.07 KB
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import java.util.Arrays;
// 参考leetcode思路,两个同时从走上角走到右下角,dp[k][i][j]表示走了k步,第一个的横坐标为i,第二个的横坐标为j的樱桃数值
// 时间复杂度O(n^3),空间复杂度O(n^2)
public class CherryPickup {
public int cherryPickup(int[][] grid) {
int N = grid.length;
int[][][] dp = new int[2][N][N];
dp[0][0][0] = grid[0][0];
for(int k = 1; k <= 2 * N - 2; k++){
for(int i = 0; i <= k && i < N; i++){
Arrays.fill(dp[k & 1][i], -1);
if(k - i >= N || grid[i][k - i] == -1) continue;
for(int j = 0; j <= k && j < N; j++){
if(k - j >= N || grid[j][k - j] == -1) continue;
dp[k & 1][i][j] = Math.max(
Math.max(
(k - i - 1 >= 0 && k - j - 1 >= 0) ? dp[(k - 1) & 1][i][j] : -1,
(j > 0 && k - i - 1 >= 0) ? dp[(k - 1) & 1][i][j - 1] : -1),
Math.max(
(i > 0 && k - j - 1 >= 0) ? dp[(k - 1) & 1][i - 1][j] : -1,
(i > 0 && j > 0) ? dp[(k - 1) & 1][i - 1][j - 1] : -1));
if(dp[k & 1][i][j] == -1) continue;
if(i == j){
dp[k & 1][i][j] += grid[i][k - i];
}else{
dp[k & 1][i][j] += grid[i][k - i] + grid[j][k - j];
}
}
}
}
int res = dp[(2 * N - 2) & 1][N - 1][N - 1];
return res == -1 ? 0 : res;
}
public static void main(String[] args) {
CherryPickup cherryPickup = new CherryPickup();
System.out.println(cherryPickup.cherryPickup(new int[][]{{0, 1, -1},{1, 0, -1},{1, 1, 1}}));
System.out.println(cherryPickup.cherryPickup(new int[][]{{1, 1, -1},{1, -1, 1},{-1, 1, 1}}));
System.out.println(cherryPickup.cherryPickup(new int[][]{{1, 1, -1},{1, 0, -1},{1, 1, 1}}));
System.out.println(cherryPickup.cherryPickup(new int[][]{{0, -1, -1},{-1, 0, -1},{1, 1, 1}}));
System.out.println(cherryPickup.cherryPickup(new int[][]{{1}}));
System.out.println(cherryPickup.cherryPickup(new int[][]{{1,1,1,1,0,0,0},{0,0,0,1,0,0,0},{0,0,0,1,0,0,1},{1,0,0,1,0,0,0},{0,0,0,1,0,0,0},{0,0,0,1,0,0,0},{0,0,0,1,1,1,1}}));
}
}