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关于算法:LeetCode-Weekly-Contest-250解题报告

【NO.1 能够输出的最大单词数】

解题思路
签到题,循环遍历判断即可。

代码展现

class Solution {

public int canBeTypedWords(String text, String brokenLetters) {if (text == null || text.length() == 0) {return 0;}
    String[] texts = text.split(" ");
    Set<Character> set = new HashSet<>();
    for (char c : brokenLetters.toCharArray()) {set.add(c);
    }
    int ans = 0, flag = 0;
    for (String word : texts) {for (char c : word.toCharArray()) {if (set.contains(c)) {
                flag = 1;
                break;
            }
        }
        if (flag == 0) {ans++;}
        flag = 0;
        
    }
    return ans;
}

}

【NO.2 新增的起码台阶数】

解题思路
第二道签到题,两两计算差值,须要判断一下是否能够整除。

代码展现

class Solution {

public int addRungs(int[] rungs, int dist) {if (rungs == null || rungs.length == 0) {return 0;}
    int ans = 0;
    int preRun = 0;
    for (int rung : rungs) {
        int diff = rung - preRun;
        // 整除的状况可梯子少一个
        if (diff % dist == 0) {ans += diff / dist - 1;}
        else {ans += diff / dist;}
        preRun = rung;
    }
    return ans;
}

}

【NO.3 扣分后的最大得分】

解题思路
坐标型动静布局

dpi 示意处于坐标 i j 的地位的最大收益

一般的坐标转化会超时

思考针对每一个 j, 会从 j 的左侧和右侧转移过去,咱们只想要一个收益最大的

因而在遍历 j 的时候记录这个左侧和右侧最大的收益,给下一层用

还有优化的空间,i 能够压缩成两行

代码展现

class Solution {

public long maxPoints(int[][] points) {if (points == null || points.length == 0 || points[0].length == 0) {return 0;}
    int n = points.length;
    int m = points[0].length;
    long[][] dp = new long[n][m];
    // 首行初始化
    for (int j = 0; j < m; j++) {dp[0][j] = points[0][j];
    }
    for (int i = 1; i < n; i++) {
        // 对于所有上一行右边的数,都是加上它的坐标减去本人的坐标;// 对于上一行所有左边的数,都是减去它的坐标加上本人的坐标;long leftMax = Integer.MIN_VALUE;
        long rightMax = Integer.MIN_VALUE;
        for (int j = 0; j < m; j++) {leftMax = Math.max(leftMax, dp[i - 1][j] + j);
            rightMax = Math.max(rightMax, dp[i - 1][m - 1 - j] - (m - 1 - j));
            dp[i][j] = Math.max(dp[i][j], points[i][j] + leftMax - j);
            dp[i][m - 1 - j] = Math.max(dp[i][m - 1 - j], points[i][m - 1 - j] + rightMax + m - 1 - j);
        }
    }
    long ans = 0;
    for (int j = 0; j < m; j++) {ans = Math.max(ans, dp[n - 1][j]);
    }
    return ans;
}

}

【NO.4 查问最大基因差】

解题思路
二进制的字典树:将数字转化成二进制记录在字典树当中

构建树,不便做 DFS

每搜寻一个数字,将该数字更新到字典树当中

在字典树上计算最终最大的异或值

代码展现

class Trie {

Trie left;      // 1
Trie right;     // 0
int[] count = new int[2];
public Trie() {}

// s == 1 增加,s == -1 删除
public void insert(int val, int s) {int flag = (1 << 30);
    Trie node = this;
    while (flag > 0) {int bit = (flag & val);
        if (bit > 0) {
            // 1 走右边
            if (node.left == null) {node.left = new Trie();
            }
            node.count[1] += s;
            node = node.left;
        } else {
            // 0 走左边
            if (node.right == null) {node.right = new Trie();
            }
            node.count[0] += s;
            node = node.right;
        }
        flag >>>= 1;
    }
}

public int getMax(int val) {
    Trie node = this;
    int flag = (1 << 30);
    int res = 0;
    while (flag > 0) {int bit = (flag & val);
        // 贪婪算法,1 的话走左边,0 的话走右边
        if (bit > 0) {
            // 走左边,左边不行走右边
            if (node.right != null && node.count[0] > 0 ) {
                node = node.right;
                res |= flag;
            } else if (node.left != null && node.count[1] > 0) {node = node.left;} else {return -1;}
        } else {
            // 优先走右边
            if (node.left != null && node.count[1] > 0) {
                node = node.left;
                res |= flag;
            } else if (node.right != null && node.count[0] > 0) {node = node.right;} else {return -1;}
        }
        flag >>>= 1;
    }
    return res;
}

}
public class Solution2 {

static class TreeNode {List<TreeNode> son = new ArrayList<>();
    int val;
    public TreeNode(int val) {this.val = val;}
}
Map<Integer, List<int[]>> map = new HashMap<>();
Trie trie;
public int[] maxGeneticDifference(int[] parents, int[][] queries) {
    int n = parents.length, m = queries.length;
    // 封装查问的信息
    for (int i = 0; i < m; i++) {int node = queries[i][0], val = queries[i][1];
        if (!map.containsKey(node)) {map.put(node, new ArrayList<>());
        }
        map.get(node).add(new int[]{val, i});
    }
    Map<Integer, TreeNode> nodeMap = new HashMap<>();
    // 构建树
    TreeNode root = null;
    for (int i = 0; i < parents.length; i++) {int p = parents[i];
        if (!nodeMap.containsKey(i)) {nodeMap.put(i, new TreeNode(i));
        }
        if (p != -1) {if (!nodeMap.containsKey(p)) {nodeMap.put(p, new TreeNode(p));
            }
            nodeMap.get(p).son.add(nodeMap.get(i));
        } else {root = nodeMap.get(i);
        }
    }
    trie = new Trie();
    int[] res = new int[m];
    // 在树上进行 DFS
    dfs(root, res, map, trie);
    return res;

}

private void dfs(TreeNode root, int[] res, Map<Integer, List<int[]>> map, Trie t) {if (root == null) {return;}
    t.insert(root.val, 1);
    if (map.containsKey(root.val)) {for (int[] each : map.get(root.val)) {int idx = each[1], v = each[0];
            res[idx] = t.getMax(v);
        }
    }
    for (TreeNode s : root.son) {dfs(s, res, map, t);
    }
    // delete
    t.insert(root.val, -1);
}

}

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