Given a matrix (H × W) which contains only 1 and 0, find the area of the largest rectangle which only contains 0s.

Constraints

* 1 ≤ H, W ≤ 1,400

Input


H W
c1,1 c1,2 ... c1,W
c2,1 c2,2 ... c2,W
:
cH,1 cH,2 ... cH,W


In the first line, two integers H and W separated by a space character are given. In the following H lines, ci,j, elements of the H × W matrix, are given.

Output

Print the area (the number of 0s) of the largest rectangle.

Example

Input

4 5
0 0 1 0 0
1 0 0 0 0
0 0 0 1 0
0 0 0 1 0


Output

6
# include <iostream>
# include <algorithm>
# include <vector>
# include <string>
# include <set>
# include <map>
# include <cmath>
# include <iomanip>
# include <functional>
# include <utility>
# include <stack>
# include <queue>
# include <list>
# include <unordered_map>
constexpr int MOD = 1000000000 + 7;
constexpr int INF = 2000000000;
using namespace std;
using LL = long long;

struct Rectangle { int height; int pos; };

int getLargestRectangle(int size, int buffer[]) {
	stack<Rectangle> S;
	int maxv = 0;
	buffer[size] = 0;
	for (int i = 0; i <= size; i++) {
		Rectangle rect;
		rect.height = buffer[i];
		rect.pos = i;
		if (S.empty()) {
			S.push(rect);
		}
		else {
			if (S.top().height < rect.height)S.push(rect);
			else if (S.top().height > rect.height) {
				int target = i;
				while (!S.empty() && S.top().height >= rect.height) {
					Rectangle pre = S.top();
					S.pop();
					int area = pre.height*(i - pre.pos);
					maxv = max(maxv, area);
					target = pre.pos;
				}
				rect.pos = target;
				S.push(rect);
			}
		}
	}
	return maxv;
}

int H, W;
int Buffer[1400][1400];
int T[1400][1400];

int getLargestRectangle() {
	for (int i = 0; i < H; i++) {
		for (int j = 0; j < W; j++) {
			if (Buffer[i][j]) {
				T[i][j] = 0;
			}
			else {
				T[i][j] = (i > 0) ? T[i - 1][j] + 1 : 1;
			}
		}
	}
	int maxv = 0;
	for (int i = 0; i < H; i++) {
		maxv = max(maxv, getLargestRectangle(W, T[i]));
	}
	return maxv;
}

int main() {
	cin >> H >> W;
	for (int i = 0; i < H; i++) {
		for (int j = 0; j < W; j++) {
			cin >> Buffer[i][j];
		}
	}
	cout << getLargestRectangle() << endl;
}