zoukankan      html  css  js  c++  java
  • LeetCode 304. Range Sum Query 2D – Immutable

    Given a 2D matrix matrix, find the sum of the elements inside the rectangle defined by its upper left corner (row1, col1) and lower right corner (row2, col2).


    The above rectangle (with the red border) is defined by (row1, col1) = (2, 1) and (row2, col2) = (4, 3), which contains sum = 8.

    Example:

    Given matrix = [
      [3, 0, 1, 4, 2],
      [5, 6, 3, 2, 1],
      [1, 2, 0, 1, 5],
      [4, 1, 0, 1, 7],
      [1, 0, 3, 0, 5]
    ]
    
    sumRegion(2, 1, 4, 3) -> 8
    sumRegion(1, 1, 2, 2) -> 11
    sumRegion(1, 2, 2, 4) -> 12
    

    Note:

    • You may assume that the matrix does not change.
    • There are many calls to sumRegion function.
    • You may assume that row1 ≤ row2 and col1 ≤ col2.
    class NumMatrix {// 题意没太看懂
    private:
        vector<vector<int>> sum;
    public:
        NumMatrix(vector<vector<int>> matrix) {
            int row=matrix.size(), col=row==0?0:matrix[0].size();
            sum=vector<vector<int>>(row+1,vector<int>(col+1,0));
            for(int i=1; i<=row; i++)
                for(int j=1; j<=col; j++)
                    sum[i][j]=sum[i-1][j]+sum[i][j-1]-sum[i-1][j-1]+matrix[i-1][j-1];
        }
        
        int sumRegion(int row1, int col1, int row2, int col2) {
            return sum[row2+1][col2+1]-sum[row1][col2+1]-sum[row2+1][col1]+sum[row1][col1];
        }
    };
    
    /**
     * Your NumMatrix object will be instantiated and called as such:
     * NumMatrix obj = new NumMatrix(matrix);
     * int param_1 = obj.sumRegion(row1,col1,row2,col2);
     */
    
  • 相关阅读:
    POJ 1637:Sightseeing tour
    bzoj 3997: [TJOI2015]组合数学
    [CEOI2008]order
    【网络流24题】星际转移问题
    Codeforces Round #460 D. Karen and Cards
    bzoj 3142: [Hnoi2013]数列
    codeforces586B
    codeforces631B
    codeforces548B
    codeforces515B
  • 原文地址:https://www.cnblogs.com/A-Little-Nut/p/10061078.html
Copyright © 2011-2022 走看看