[LeetCode] Range Sum Query 2D - Immutable 二维区域和检索 - 不可变

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:

1. You may assume that the matrix does not change.
2. There are many calls to sumRegion function.
3. You may assume that row1 ≤ row2 and col1 ≤ col2.

class NumMatrix {
public:
NumMatrix(vector<vector<int> > &matrix) {
if (matrix.empty() || matrix[0].empty()) return;
dp.resize(matrix.size() + 1, vector<int>(matrix[0].size() + 1, 0));
for (int i = 1; i <= matrix.size(); ++i) {
for (int j = 1; j <= matrix[0].size(); ++j) {
dp[i][j] = dp[i][j - 1] + dp[i - 1][j] - dp[i - 1][j - 1] + matrix[i - 1][j - 1];
}
}
}
int sumRegion(int row1, int col1, int row2, int col2) {
return dp[row2 + 1][col2 + 1] - dp[row1][col2 + 1] - dp[row2 + 1][col1] + dp[row1][col1];
}

private:
vector<vector<int> > dp;
};

Range Sum Query 2D - Mutable

Range Sum Query - Immutable

Range Sum Query - Mutable

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posted @ 2015-11-12 13:59  Grandyang  阅读(12458)  评论(0编辑  收藏  举报