package main import ( "bufio" "fmt" "os" ) const MOD int = 1e9 + 7 func main() { // https://yukicoder.me/problems/no/1141 // 每次操作将第r行和第c列所有格子涂黑 // 求剩下的格子里所有数的乘积模1e9+7 in := bufio.NewReader(os.Stdin) out := bufio.NewWriter(os.Stdout) defer out.Flush() var row, col int fmt.Fscan(in, &row, &col) grid := make([][]int, row) for i := 0; i < row; i++ { grid[i] = make([]int, col) for j := 0; j < col; j++ { fmt.Fscan(in, &grid[i][j]) } } var q int fmt.Fscan(in, &q) ops := make([][2]int, q) for i := 0; i < q; i++ { fmt.Fscan(in, &ops[i][0], &ops[i][1]) ops[i][0]-- ops[i][1]-- } res := solve(grid, ops) for _, v := range res { fmt.Fprintln(out, v) } } func solve(grid [][]int, ops [][2]int) []int { P := NewPreSum2D(grid) ROW, COL := len(grid), len(grid[0]) res := make([]int, 0, len(ops)) for _, op := range ops { r, c := op[0], op[1] res1 := P.Query(0, r, 0, c) res2 := P.Query(r+1, ROW, 0, c) res3 := P.Query(0, r, c+1, COL) res4 := P.Query(r+1, ROW, c+1, COL) res = append(res, P.op(P.op(res1, res2), P.op(res3, res4))) } return res } type E = int func (*PreSum2D) e() E { return 1 } func (*PreSum2D) op(a, b E) E { return a * b % MOD } func (*PreSum2D) inv(a E) E { return pow(a, MOD-2, MOD) } func pow(base, exp, mod int) int { base %= mod res := 1 for ; exp > 0; exp >>= 1 { if exp&1 == 1 { res = res * base % mod } base = base * base % mod } return res } type PreSum2D struct { row, col int data []E } func NewPreSum2D(matrix [][]E) *PreSum2D { res := &PreSum2D{} row := len(matrix) col := 0 if row > 0 { col = len(matrix[0]) } data := make([]E, row*col) for i := 0; i < row; i++ { for j := 0; j < col; j++ { data[i*col+j] = res.e() } } for i := 0; i < row; i++ { for j := 0; j < col; j++ { k := i*col + j if j == 0 { data[k] = matrix[i][j] } else { data[k] = res.op(data[k-1], matrix[i][j]) // 行 } } } for i := col; i < row*col; i++ { data[i] = res.op(data[i-col], data[i]) // 列 } res.row = row res.col = col res.data = data return res } // [x1,x2) x [y1,y2) // 0 <= x1 <= x2 <= row // 0 <= y1 <= y2 <= col func (p *PreSum2D) Query(x1, x2, y1, y2 int) E { if x2 == 0 || y2 == 0 { return p.e() } x1, x2, y1, y2 = x1-1, x2-1, y1-1, y2-1 var a, b, c, d E if x1 >= 0 && y1 >= 0 { a = p.data[x1*p.col+y1] } else { a = p.e() } if x1 >= 0 && y2 >= 0 { b = p.data[x1*p.col+y2] } else { b = p.e() } if x2 >= 0 && y1 >= 0 { c = p.data[x2*p.col+y1] } else { c = p.e() } if x2 >= 0 && y2 >= 0 { d = p.data[x2*p.col+y2] } else { d = p.e() } return p.op(p.op(a, d), p.inv(p.op(b, c))) }