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Formatted question description: https://leetcode.ca/all/2080.html

2080. Range Frequency Queries (Medium)

Design a data structure to find the frequency of a given value in a given subarray.

The frequency of a value in a subarray is the number of occurrences of that value in the subarray.

Implement the RangeFreqQuery class:

  • RangeFreqQuery(int[] arr) Constructs an instance of the class with the given 0-indexed integer array arr.
  • int query(int left, int right, int value) Returns the frequency of value in the subarray arr[left...right].

A subarray is a contiguous sequence of elements within an array. arr[left...right] denotes the subarray that contains the elements of nums between indices left and right (inclusive).

 

Example 1:

Input
["RangeFreqQuery", "query", "query"]
[[[12, 33, 4, 56, 22, 2, 34, 33, 22, 12, 34, 56]], [1, 2, 4], [0, 11, 33]]
Output
[null, 1, 2]

Explanation
RangeFreqQuery rangeFreqQuery = new RangeFreqQuery([12, 33, 4, 56, 22, 2, 34, 33, 22, 12, 34, 56]);
rangeFreqQuery.query(1, 2, 4); // return 1. The value 4 occurs 1 time in the subarray [33, 4]
rangeFreqQuery.query(0, 11, 33); // return 2. The value 33 occurs 2 times in the whole array.

 

Constraints:

  • 1 <= arr.length <= 105
  • 1 <= arr[i], value <= 104
  • 0 <= left <= right < arr.length
  • At most 105 calls will be made to query

Companies:
Quora

Related Topics:
Array, Binary Search

Initialization: For each unique value in A, store its corresponding indices in a map m.

Query:

  • If value doesn’t exist in the original array, return 0.
  • Otherwise, let v = m[value] – the array of all the indices of value in the original array
  • Let j be the first index that v[j] > right.
  • Let i be the first index that v[i] >= left.
  • The answer is j - i.
  • // OJ: https://leetcode.com/problems/range-frequency-queries/
    // Time:
    //      RangeFreqQuery: O(N)
    //      query: O(log(N))
    // Space: O(N)
    class RangeFreqQuery {
        unordered_map<int, vector<int>> m; // map from a value to all its indices
    public:
        RangeFreqQuery(vector<int>& A) {
            for (int i = 0; i < A.size(); ++i) m[A[i]].push_back(i);
        }
        int query(int left, int right, int value) {
            if (m.count(value) == 0) return 0; // `value` doesn't exist in the original array
            auto &v = m[value]; // `v` is the array of all the indices of `value` in the original array
            int j = upper_bound(begin(v), end(v), right) - begin(v); // Find the first index `j` that `v[j] > right`.
            int i = lower_bound(begin(v), end(v), left) - begin(v); // Find the first index `i` that `v[i] >= left`.
            return j - i; // The answer is `j - i`
        }
    };
    
  • class RangeFreqQuery:
        def __init__(self, arr: List[int]):
            self.mp = defaultdict(list)
            for i, x in enumerate(arr):
                self.mp[x].append(i)
    
        def query(self, left: int, right: int, value: int) -> int:
            if value not in self.mp:
                return 0
            arr = self.mp[value]
            l, r = bisect_right(arr, left - 1), bisect_right(arr, right)
            return r - l
    
    
    # Your RangeFreqQuery object will be instantiated and called as such:
    # obj = RangeFreqQuery(arr)
    # param_1 = obj.query(left,right,value)
    
    ############
    
    # 2080. Range Frequency Queries
    # https://leetcode.com/problems/range-frequency-queries/
    
    class RangeFreqQuery:
    
        def __init__(self, arr: List[int]):
            self.mp = collections.defaultdict(list)
            for i, x in enumerate(arr):
                self.mp[x].append(i)
    
        def query(self, left: int, right: int, value: int) -> int:
            a = bisect.bisect_left(self.mp[value], left)
            b = bisect.bisect_right(self.mp[value], right)
            
            return b - a
            
    
    
    # Your RangeFreqQuery object will be instantiated and called as such:
    # obj = RangeFreqQuery(arr)
    # param_1 = obj.query(left,right,value)
    
    
  • class RangeFreqQuery {
        private Map<Integer, List<Integer>> mp = new HashMap<>();
    
        public RangeFreqQuery(int[] arr) {
            for (int i = 0; i < arr.length; ++i) {
                mp.computeIfAbsent(arr[i], k -> new ArrayList<>()).add(i);
            }
        }
    
        public int query(int left, int right, int value) {
            if (!mp.containsKey(value)) {
                return 0;
            }
            List<Integer> arr = mp.get(value);
            int l = search(arr, left - 1);
            int r = search(arr, right);
            return r - l;
        }
    
        private int search(List<Integer> arr, int val) {
            int left = 0, right = arr.size();
            while (left < right) {
                int mid = (left + right) >> 1;
                if (arr.get(mid) > val) {
                    right = mid;
                } else {
                    left = mid + 1;
                }
            }
            return left;
        }
    }
    
    /**
     * Your RangeFreqQuery object will be instantiated and called as such:
     * RangeFreqQuery obj = new RangeFreqQuery(arr);
     * int param_1 = obj.query(left,right,value);
     */
    
  • type RangeFreqQuery struct {
    	mp map[int][]int
    }
    
    func Constructor(arr []int) RangeFreqQuery {
    	mp := make(map[int][]int)
    	for i, v := range arr {
    		mp[v] = append(mp[v], i)
    	}
    	return RangeFreqQuery{mp}
    }
    
    func (this *RangeFreqQuery) Query(left int, right int, value int) int {
    	arr := this.mp[value]
    	l := sort.SearchInts(arr, left)
    	r := sort.SearchInts(arr, right+1)
    	return r - l
    }
    
    /**
     * Your RangeFreqQuery object will be instantiated and called as such:
     * obj := Constructor(arr);
     * param_1 := obj.Query(left,right,value);
     */
    

Discuss

https://leetcode.com/problems/range-frequency-queries/discuss/1589028/C%2B%2B-Straightforward-Binary-Search

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