上岸算法LeetCode Weekly Contest 266解题报告

【 NO.1 统计字符串中的元音子字符串】

解题思路
签到题。

代码展示

class Solution {
public int countVowelSubstrings(String word) {

   int count = 0;
   for (int i = 0; i < word.length(); i++) {
       for (int j = i + 1; j <= word.length(); j++) {
           count += containsAll(word.substring(i, j));
      }
  }
   return count;

}

private int containsAll(String s) {

   if (s.contains("a") && s.contains("e") && s.contains("i") && s.contains("o") && s.contains("u")) {
       for (var c : s.toCharArray()) {
           if (!"aeiou".contains(String.valueOf(c))) {
               return 0;
          }
      }
       return 1;
  }
   return 0;

}
}

【 NO.2 所有子字符串中的元音】

解题思路
依次计算每个位置的元音字符会被多少个子串计数即可。

代码展示

class Solution {
public long countVowels(String word) {

   long result = 0;
   for (int i = 0; i < word.length(); i++) {
       if (!"aeiou".contains(String.valueOf(word.charAt(i)))) {
           continue;
      }
       long left = i;
       long right = word.length() - i - 1;
       result += left * right + left + right + 1;
  }
   return result;

}
}

【 NO.3 分配给商店的最多商品的最小值】

解题思路
二分答案,假定一个商店最多能分配 x 个商品,那么我们可以轻易计算出需要多少个商店,即可得到 n 个商店能否分配完这 m 种商品。

代码展示

class Solution {
public int minimizedMaximum(int n, int[] quantities) {

   int left = 1;
   int right = Arrays.stream(quantities).max().getAsInt();
   while (left + 1 < right) {
       int mid = (left + right) / 2;
       if (check(n, quantities, mid)) {
           right = mid;
      } else {
           left = mid;
      }
  }
   return check(n, quantities, left) ? left : right;

}

private boolean check(int n, int[] quantities, int x) {

   int cnt = 0;
   for (int q : quantities) {
       cnt += (q + x - 1) / x;
  }
   return cnt <= n;

}
}

【 NO.4 最大化一张图中的路径价值】

解题思路
看似复杂,但是观察数据范围,发现直接回溯即可。

代码展示

class Solution {
int result;
List empty = new ArrayList<>();

public int maximalPathQuality(int[] values, int[][] edges, int maxTime) {

   Map> children = new HashMap<>();
   Map> times = new HashMap<>();
   for (int[] e : edges) {
       if (!children.containsKey(e[0])) {
           children.put(e[0], new ArrayList<>());
      }
       if (!children.containsKey(e[1])) {
           children.put(e[1], new ArrayList<>());
      }
       if (!times.containsKey(e[0])) {
           times.put(e[0], new HashMap<>());
      }
       if (!times.containsKey(e[1])) {
           times.put(e[1], new HashMap<>());
      }
       children.get(e[0]).add(e[1]);
       children.get(e[1]).add(e[0]);
       times.get(e[0]).put(e[1], e[2]);
       times.get(e[1]).put(e[0], e[2]);
  }
   int[] vis = new int[values.length];
   result = 0;
   dfs(0, 0, 0, maxTime, vis, values, children, times);
   return result;

}

private void dfs(int pos, int sum, int time, int maxTime, int[] vis, int[] values, Map> children, Map> times) {

   if (vis[pos] == 0) {
       sum += values[pos];
  }
   vis[pos]++;
   if (pos == 0) {
       result = Math.max(result, sum);
  }
   for (int nxt : children.getOrDefault(pos, empty)) {
       if (time + times.get(pos).get(nxt) <= maxTime) {
           dfs(nxt, sum, time + times.get(pos).get(nxt), maxTime, vis, values, children, times);
      }
  }
   vis[pos]--;

}
}

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