class Solution {
int MOD = 1E9 + 7;
int dp[1001][1001];
int n, m;
bool valid(int x, int y) { return x >= 0 && x < n && y >= 0 && y < m; }
int rec(const vector<vector<int>> &grid, int i, int j) {
if (dp[i][j] != -1) return dp[i][j];
static const int offs_x[4] = {0, 0, 1, -1};
static const int offs_y[4] = {1, -1, 0, 0};
int res = 0;
for (int k = 0; k < 4; k++) {
int x = i + offs_x[k], y = j + offs_y[k];
if (!valid(x, y)) continue;
if (grid[i][j] < grid[x][y]) res = (res + rec(grid, x, y) + 1) % MOD;
}
return dp[i][j] = res;
}
public:
Solution() { memset(dp, 0xFF, sizeof(dp)); }
int countPaths(const vector<vector<int>> &grid) {
n = grid.size(), m = grid[0].size();
int res = m * n;
for (int i = 0; i < n; i++)
for (int j = 0; j < m; j++) res = (res + rec(grid, i, j)) % MOD;
return res;
}
};