# 2080. Range Frequency Queries

## Description

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

## Solutions

• class RangeFreqQuery {
private Map<Integer, List<Integer>> mp = new HashMap<>();

public RangeFreqQuery(int[] arr) {
for (int i = 0; i < arr.length; ++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);
*/

• class RangeFreqQuery {
public:
unordered_map<int, vector<int>> mp;
RangeFreqQuery(vector<int>& arr) {
for (int i = 0; i < arr.size(); ++i)
mp[arr[i]].push_back(i);
}

int query(int left, int right, int value) {
if (!mp.count(value)) return 0;
auto& arr = mp[value];
auto l = upper_bound(arr.begin(), arr.end(), left - 1);
auto r = upper_bound(arr.begin(), arr.end(), right);
return r - l;
}
};

/**
* Your RangeFreqQuery object will be instantiated and called as such:
* RangeFreqQuery* obj = new RangeFreqQuery(arr);
* int param_1 = obj->query(left,right,value);
*/

• 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)


• 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);
*/

• class RangeFreqQuery {
private g: Map<number, number[]> = new Map();

constructor(arr: number[]) {
for (let i = 0; i < arr.length; ++i) {
if (!this.g.has(arr[i])) {
this.g.set(arr[i], []);
}
this.g.get(arr[i])!.push(i);
}
}

query(left: number, right: number, value: number): number {
const idx = this.g.get(value);
if (!idx) {
return 0;
}
const search = (x: number): number => {
let [l, r] = [0, idx.length];
while (l < r) {
const mid = (l + r) >> 1;
if (idx[mid] >= x) {
r = mid;
} else {
l = mid + 1;
}
}
return l;
};
const l = search(left);
const r = search(right + 1);
return r - l;
}
}

/**
* Your RangeFreqQuery object will be instantiated and called as such:
* var obj = new RangeFreqQuery(arr)
* var param_1 = obj.query(left,right,value)
*/