Description
Design a time-based key-value data structure that can store multiple values for the same key at different time stamps and retrieve the key's value at a certain timestamp.
Implement the TimeMap class:
TimeMap()Initializes the object of the data structure.void set(String key, String value, int timestamp)Stores the keykeywith the valuevalueat the given timetimestamp.String get(String key, int timestamp)Returns a value such thatsetwas called previously, withtimestamp_prev <= timestamp. If there are multiple such values, it returns the value associated with the largesttimestamp_prev. If there are no values, it returns"".
Example 1:
Input
["TimeMap", "set", "get", "get", "set", "get", "get"]
[[], ["foo", "bar", 1], ["foo", 1], ["foo", 3], ["foo", "bar2", 4], ["foo", 4], ["foo", 5]]
Output
[null, null, "bar", "bar", null, "bar2", "bar2"]
Explanation
TimeMap timeMap = new TimeMap();
timeMap.set("foo", "bar", 1); // store the key "foo" and value "bar" along with timestamp = 1.
timeMap.get("foo", 1); // return "bar"
timeMap.get("foo", 3); // return "bar", since there is no value corresponding to foo at timestamp 3 and timestamp 2, then the only value is at timestamp 1 is "bar".
timeMap.set("foo", "bar2", 4); // store the key "foo" and value "bar2" along with timestamp = 4.
timeMap.get("foo", 4); // return "bar2"
timeMap.get("foo", 5); // return "bar2"
Constraints:
1 <= key.length, value.length <= 100keyandvalueconsist of lowercase English letters and digits.1 <= timestamp <= 107- All the timestamps
timestampofsetare strictly increasing. - At most
2 * 105calls will be made tosetandget.
Solutions
Solution 1: Hash Table + Ordered Set (or Binary Search)
We can use a hash table kvt to record key-value pairs, where the key is the string key and the value is an ordered set. Each element in the set is a tuple (timestamp, value), representing the value value corresponding to the key key at the timestamp timestamp.
When we need to query the value corresponding to the key key at the timestamp timestamp, we can use the ordered set to find the largest timestamp timestamp' such that timestamp' ≤ timestamp, and then return the corresponding value.
In terms of time complexity, for the set operation, since the insertion operation of the hash table has a time complexity of O(1), the time complexity is O(1). For the get operation, since the lookup operation of the hash table has a time complexity of O(1) and the lookup operation of the ordered set has a time complexity of O(log n), the time complexity is O(log n). The space complexity is O(n), where n is the number of set operations.
class TimeMap: def __init__(self): self.ktv = defaultdict(list) def set(self, key: str, value: str, timestamp: int) -> None: self.ktv[key].append((timestamp, value)) def get(self, key: str, timestamp: int) -> str: if key not in self.ktv: return '' tv = self.ktv[key] i = bisect_right(tv, (timestamp, chr(127))) return tv[i - 1][1] if i else '' # Your TimeMap object will be instantiated and called as such: # obj = TimeMap() # obj.set(key,value,timestamp) # param_2 = obj.get(key,timestamp)(code-box)
