local mmi, mma = math.min, math.max local mfl, mce = math.floor, math.ceil local n, mod = io.read("*n", "*n") local function badd(x, y) return (x + y) % mod end -- dp[0-stack+1][inv_count+1] local dp1, dp2 = {}, {} dp1[1] = {1} for i = 2, n * n + 1 do dp1[1][i] = 0 end for i = 1, n * 2 do local src = i % 2 == 1 and dp1 or dp2 local dst = i % 2 == 1 and dp2 or dp1 local zero_max = mmi(n, i) for j = #dst + 1, zero_max + 1 do dst[j] = {} end local z = mma(0, mfl((i - 1) / 2)) local inv_lim = mfl(z * (z + 1) / 2) z = mma(0, mfl((i - 2) / 2)) local src_inv_lim = mfl(z * (z + 1) / 2) inv_lim, src_inv_lim = n * n, n * n for j = 1, zero_max + 1 do local dj = dst[j] for k = 1, 1 + inv_lim do dj[k] = 0 end end local src_zero_max = mmi(n, i - 1) for j = 1, src_zero_max + 1 do local sj = src[j] local rem_zeros = j - 1 local used_ones = mma(0, mfl((i - 1 - rem_zeros) / 2)) if 0 < rem_zeros then local dj = dst[j - 1] for k = 1, src_inv_lim + 1 do dj[k] = badd(dj[k], sj[k]) end end if rem_zeros < n then local dj = dst[j + 1] for k = 1, src_inv_lim + 1 do if not dj[k + used_ones] then break end dj[k + used_ones] = badd(dj[k + used_ones], sj[k]) end end end -- print("---") -- for j = 1, #dst do -- print(table.concat(dst[j], " ")) -- end end local tbl = dp1 print(table.concat(tbl[1], "\n")) -- io.write(string.rep("0\n", n * n + 1 - #tbl[1]))