2026年3月7日 星期六

146. LRU Cache

難度: Medium

類型: Array,Matrix,Linked List,Doubly-Linked List 
CPP程式下載: 146.cpp

Topic:

Design a data structure that follows the constraints of a Least Recently Used (LRU) cache.

Implement the LRUCache class:

  • LRUCache(int capacity) Initialize the LRU cache with positive size capacity.
  • int get(int key) Return the value of the key if the key exists, otherwise return -1.
  • void put(int key, int value) Update the value of the key if the key exists. Otherwise, add the key-value pair to the cache. If the number of keys exceeds the capacity from this operation, evict the least recently used key.

The functions get and put must each run in O(1) average time complexity.

 

Example 1:

Input
["LRUCache", "put", "put", "get", "put", "get", "put", "get", "get", "get"]
[[2], [1, 1], [2, 2], [1], [3, 3], [2], [4, 4], [1], [3], [4]]
Output
[null, null, null, 1, null, -1, null, -1, 3, 4]

Explanation
LRUCache lRUCache = new LRUCache(2);
lRUCache.put(1, 1); // cache is {1=1}
lRUCache.put(2, 2); // cache is {1=1, 2=2}
lRUCache.get(1);    // return 1
lRUCache.put(3, 3); // LRU key was 2, evicts key 2, cache is {1=1, 3=3}
lRUCache.get(2);    // returns -1 (not found)
lRUCache.put(4, 4); // LRU key was 1, evicts key 1, cache is {4=4, 3=3}
lRUCache.get(1);    // return -1 (not found)
lRUCache.get(3);    // return 3
lRUCache.get(4);    // return 4

 

Constraints:

  • 1 <= capacity <= 3000
  • 0 <= key <= 104
  • 0 <= value <= 105
  • At most 2 * 105 calls will be made to get and put.
Consideration:
1. A unsorted_map to store key and double linked list's "Node*".
2. A Node structure to store key, value integers and prev, next pointers.
3. During the implementation, I finally know that Node has to store key. When we try to remove the LRU memory map, we can't get the key from the Double Linked List Node.
4. Add the latest used key, value to the head.
5. Remove the lastest used key, value from the tail.
6. When there is existed key get or value set, remove the current node and add to the tail. 

Code:
class LRUCache {
private:
    int cap;
  
    struct Node {
        int key;
        int value;
        Node* prev;
        Node* next;
        Node(int k, int v) : key(k), value(v), prev(nullptr), next(nullptr) {}
    };
    Node* head; // Dummy head
    Node* tail; // Dummy tail  
    unordered_map<int, Node*> lru_map; 

    // Helper: Remove a node from the linked list
    void remove(Node* node) {
        node->prev->next = node->next;
        node->next->prev = node->prev;
    }

// Helper: Add a node right after the dummy head (Most Recently Used)
    void add(Node* node) {
        node->next = head->next;
        node->prev = head;
        head->next->prev = node;
        head->next = node;
    }

public:
    LRUCache(int capacity) {
        cap = capacity;
        head = new Node(-1, -1);
        tail = new Node(-1, -1);
        head->next = tail;
        tail->prev = head;        
    }
    
    int get(int key) {
        if (lru_map.find(key) == lru_map.end()) {
            return -1;
        }
        Node* node = lru_map[key];
        remove(node);
        add(node);
        return node->value;
    }
    
    void put(int key, int value) {
        if (lru_map.find(key) != lru_map.end()) {
            Node* node = lru_map[key];
            remove(node);
            node->value = value;
            add(node);
            return;
        }

        Node* newNode = new Node(key, value);
        lru_map[key] = newNode;
        add(newNode);

        if (lru_map.size() > cap) {
            Node* lru_node = tail->prev;
            remove(lru_node);
            lru_map.erase(lru_node->key);
            delete lru_node;
        }        
    }
};

/**
 * Your LRUCache object will be instantiated and called as such:
 * LRUCache* obj = new LRUCache(capacity);
 * int param_1 = obj->get(key);
 * obj->put(key,value);
 */

Result:
https://leetcode.com/problems/lru-cache/submissions/1940361643/

Accepted
24 / 24 testcases passed
tendchen
tendchen
submitted at Mar 07, 2026 10:51
Runtime
70ms
Beats69.18%
Memory
173.14MB
Beats68.45%

2026年3月6日 星期五

766. Toeplitz Matrix

難度: Easy

類型: Array,Matrix 
CPP程式下載: 766.cpp

Topic:

Given an m x n matrix, return true if the matrix is Toeplitz. Otherwise, return false.

A matrix is Toeplitz if every diagonal from top-left to bottom-right has the same elements.

 

Example 1:

Input: matrix = [[1,2,3,4],[5,1,2,3],[9,5,1,2]]
Output: true
Explanation:
In the above grid, the diagonals are:
"[9]", "[5, 5]", "[1, 1, 1]", "[2, 2, 2]", "[3, 3]", "[4]".
In each diagonal all elements are the same, so the answer is True.

Example 2:

Input: matrix = [[1,2],[2,2]]
Output: false
Explanation:
The diagonal "[1, 2]" has different elements.

 

Constraints:

  • m == matrix.length
  • n == matrix[i].length
  • 1 <= m, n <= 20
  • 0 <= matrix[i][j] <= 99

 

Follow up:

  • What if the matrix is stored on disk, and the memory is limited such that you can only load at most one row of the matrix into the memory at once?
  • What if the matrix is so large that you can only load up a partial row into the memory at once?
Consideration:
1. "Union of first column and first row elements".
2. Check each elements in the union from its left upper to right bottom diagonal direction. If each element's diagonal values are the same, then return true. If any different value is found, return false.
 

Code:
class Solution {
public:
    bool isToeplitzMatrix(vector<vector<int>>& matrix) {
        int m = matrix.size();
        int n = matrix[0].size();
        //cout << "m = " << m << ", n = "<< n << "\n";
        //bool result = true;
        int i,j,k,value;
        for (k=0;k<m;k++)
        {
            j=0;
            i=k;
            value=matrix[i][j];
            i++;
            j++;
            while (j<n && i<m)
            {
                //cout << "i = " << i << ", j = "<< j << "\n";
                if (matrix[i][j]==value)
                {
                    i++;
                    j++;
                }
                else
                {
                    return false;
                }
            }
        }
        for (k=1;k<n;k++)
        {
            i=0;
            j=k;
            value=matrix[i][j];
            i++;
            j++;
            while (j<n && i<m)
            {
                //cout << "i = " << i << ", j = "<< j << "\n";
                if (matrix[i][j]==value)
                {
                    i++;
                    j++;
                }
                else
                {
                    return false;
                }
            }
        }
        return true;
    }
};

Result:
Accepted
483 / 483 testcases passed
tendchen
tendchen
submitted at Mar 06, 2026 16:18
Runtime
0ms
Beats100.00%
Memory
21.12MB
Beats28.29%