demo.ipynb

{
 "cells": [
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-06-20T11:43:29.486977Z",
     "start_time": "2024-06-20T11:43:29.459930Z"
    }
   },
   "cell_type": "code",
   "source": [
    "import numpy as np\n",
    "import time\n",
    "from matplotlib import pyplot as plt\n",
    "\n",
    "\n",
    "def lasso(x, A, b, lambda_):\n",
    "    return np.linalg.norm(A @ x - b, ord=2) ** 2 / 2 + lambda_ * np.linalg.norm(x, ord=1)\n",
    "\n",
    "\n",
    "# 软阈值算子\n",
    "def soft_thresholding_operator(x, lambda_):\n",
    "    \"\"\"\n",
    "    实现软阈值算子\n",
    "    :param x: 输入向量或标量\n",
    "    :param lambda_: 阈值参数\n",
    "    :return: 软阈值处理后的结果\n",
    "    \"\"\"\n",
    "    return np.sign(x) * np.maximum(0, np.abs(x) - lambda_)\n",
    "\n",
    "\n",
    "# KKT停机准则\n",
    "def check_kkt(x, A, b, lambda_):\n",
    "    \"\"\"验证Lasso问题的解是否满足KKT条件\"\"\"\n",
    "    y = x + A.T @ (b - A @ x)\n",
    "    return np.linalg.norm(soft_thresholding_operator(y, lambda_) - x, ord=2) / (1 + np.linalg.norm(x, ord=2))\n",
    "\n",
    "\n",
    "def view_plot(y, res, iteration_times, log10=False):\n",
    "    \"\"\"绘制lasso值的迭代曲线，以及迭代时间曲线\"\"\"\n",
    "    plt.figure(figsize=(10, 6))\n",
    "    if log10:\n",
    "        plt.semilogy(y)\n",
    "    else:\n",
    "        plt.plot(y)\n",
    "    plt.ylabel('Lasso Value')\n",
    "    plt.xlabel('Iteration Number')\n",
    "    plt.show()\n",
    "\n",
    "    # 绘制收敛曲线\n",
    "    plt.figure(figsize=(10, 6))\n",
    "    if log10:\n",
    "        plt.semilogy(res)\n",
    "    else:\n",
    "        plt.plot(res)\n",
    "    plt.ylabel('RES Value')\n",
    "    plt.xlabel('Iteration Number')\n",
    "    plt.show()\n",
    "\n",
    "    # 绘制迭代时间曲线\n",
    "    cumulative_times = []\n",
    "    total_time = 0\n",
    "    for time in iteration_times:\n",
    "        total_time += time\n",
    "        cumulative_times.append(total_time)\n",
    "\n",
    "    num = len(iteration_times)\n",
    "    # 创建子图\n",
    "    fig, (ax1, ax2) = plt.subplots(2, 1, sharex='col', figsize=(10, 6))\n",
    "\n",
    "    # 上方子图：累计运行时间\n",
    "    ax1.plot(range(num), cumulative_times, label='Cumulative Run Time', color='blue')\n",
    "    ax1.set_ylabel('Cumulative Time (s)')\n",
    "    ax1.legend(loc='upper left')\n",
    "\n",
    "    # 下方子图：单次迭代运行时间\n",
    "    ax2.plot(range(num), iteration_times, label='Single Iteration Run Time', color='red')\n",
    "    ax2.set_xlabel('Iteration Number')\n",
    "    ax2.set_ylabel('Time per Iteration (s)')\n",
    "    ax2.legend(loc='upper left')\n",
    "    # 调整子图间的间距\n",
    "    plt.tight_layout()\n",
    "\n",
    "    # 显示图形\n",
    "    plt.show()\n",
    "\n",
    "\n",
    "def view_plot_2(y, res, iteration_times, axs, label, title):\n",
    "    axs[0].set_title(title)\n",
    "    axs[0].semilogy(y, label=label)\n",
    "    axs[1].semilogy(res, label=label)\n",
    "    # 绘制迭代时间曲线\n",
    "    cumulative_times = []\n",
    "    total_time = 0\n",
    "    for time in iteration_times:\n",
    "        total_time += time\n",
    "        cumulative_times.append(total_time)\n",
    "    axs[2].plot(cumulative_times, label=label)"
   ],
   "id": "7fc9a790cd9fbc80",
   "outputs": [],
   "execution_count": 13
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "# 近端梯度下降法求解Lasso回归问题",
   "id": "2fc5a2a69cb25936"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-06-20T11:43:29.502230Z",
     "start_time": "2024-06-20T11:43:29.488999Z"
    }
   },
   "cell_type": "code",
   "source": [
    "def pg_lasso(A, b, lambda_, x=None, max_iter=10000, tol=1e-5, plot=True, show_process=True):\n",
    "    \"\"\"\n",
    "    使用近端梯度下降法求解Lasso回归问题\n",
    "    :param A: 特征矩阵。\n",
    "    :param b: 目标向量。\n",
    "    :param lambda_: L1正则化参数。\n",
    "    :param x: 权重向量初值。\n",
    "    :param max_iter: 最大迭代次数，默认为10000。\n",
    "    :param tol: 收敛容限，默认为1e-5。\n",
    "    :param plot: 是否绘制收敛曲线，默认为True。\n",
    "    :param show_process: 是否在迭代过程中显示信息，默认为True。\n",
    "    :return:\n",
    "        x: 求解得到的权重向量。\n",
    "        res: 每次迭代的KKT条件满足程度。\n",
    "        times: 每次迭代的时间。\n",
    "    \"\"\"\n",
    "    # 初始化beta为零向量\n",
    "    if x is None:\n",
    "        x = np.zeros(A.shape[1])\n",
    "\n",
    "    # 计算梯度的Lipschitz常数\n",
    "    L = np.linalg.norm(A, ord=2) ** 2\n",
    "    y = []\n",
    "    res = []\n",
    "    times = []\n",
    "    # 迭代更新参数x\n",
    "    time_0 = time.process_time()\n",
    "    for i in range(max_iter):\n",
    "        time_1 = time.process_time()\n",
    "\n",
    "        # 计算梯度\n",
    "        gradient = A.T @ (A @ x - b)\n",
    "        # 近端梯度更新\n",
    "        x = soft_thresholding_operator(x - gradient / L, lambda_ / L)\n",
    "        time_2 = time.process_time()\n",
    "\n",
    "        # 记录时间、Lasso值和KKT条件满足程度\n",
    "        times.append(time_2 - time_1)  # 记录迭代时间\n",
    "        y.append(lasso(x, A, b, lambda_))  # 计算lasso值\n",
    "\n",
    "        # 检查收敛性\n",
    "        res.append(check_kkt(x, A, b, lambda_))\n",
    "        if res[-1] <= tol:\n",
    "            print(f\"收敛容限tol={tol}条件下, 利用PG算法求解的最终结果为(结果保留3位小数)\\n{np.round(x, 3)}.\")\n",
    "            if plot:\n",
    "                view_plot(y, res, times, log10=True)\n",
    "            return x, y, res, times\n",
    "        if show_process and ((i + 1) % 100 == 0 or (i + 1) == max_iter):\n",
    "            print(\"%d:\\tlasso value: %3e, \\tres: %3e, \\trun time: %3e\" % (i + 1, y[-1], res[-1], time_2 - time_0))\n",
    "    print(\"在最大迭代次数内, PG算法未达到收敛容限.\")\n",
    "    if plot:\n",
    "        view_plot(y, res, times, log10=True)\n",
    "    return x, y, res, times\n",
    "\n"
   ],
   "id": "ca2b74b99f85dde1",
   "outputs": [],
   "execution_count": 14
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "# 加速近端梯度下降法求解Lasso回归问题",
   "id": "3fe4ffca1bf8dc5d"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-06-20T11:43:29.517116Z",
     "start_time": "2024-06-20T11:43:29.504044Z"
    }
   },
   "cell_type": "code",
   "source": [
    "def apg_lasso(A, b, lambda_, x=None, max_iter=10000, tol=1e-5, plot=True, show_process=True):\n",
    "    \"\"\"\n",
    "    使用加速梯度法（APG）求解Lasso回归问题。\n",
    "\n",
    "    :param A: 特征矩阵。\n",
    "    :param b: 目标向量。\n",
    "    :param lambda_: L1正则化参数。\n",
    "    :param x: 权重向量初值。\n",
    "    :param max_iter: 最大迭代次数，默认为10000。\n",
    "    :param tol: 收敛容限，默认为1e-5。\n",
    "    :param plot: 是否绘制收敛曲线，默认为True。\n",
    "    :param show_process: 是否在迭代过程中显示信息，默认为True。\n",
    "    :return:\n",
    "        x: 求解得到的权重向量。\n",
    "        res: 每次迭代的KKT条件满足程度。\n",
    "        times: 每次迭代的时间。\n",
    "    \"\"\"\n",
    "    # 初始化变量\n",
    "    m, n = A.shape\n",
    "    # 初始化\n",
    "    if x is None:\n",
    "        x = np.zeros(n)\n",
    "    x_old = x\n",
    "    t = 1\n",
    "    y = []\n",
    "    times = []\n",
    "    res = []\n",
    "\n",
    "    # 计算梯度的Lipschitz常数\n",
    "    L = np.linalg.norm(A, ord=2) ** 2\n",
    "\n",
    "    # 开始计时\n",
    "    time_0 = time.process_time()\n",
    "    for i in range(max_iter):\n",
    "        time_1 = time.process_time()\n",
    "\n",
    "        # 更新动量\n",
    "        beta = (i - 1) / (i + 2)\n",
    "        v = x + beta * (x - x_old)\n",
    "\n",
    "        # 计算梯度并进行软阈值操作\n",
    "        gradient = A.T @ (A @ v - b)\n",
    "        x_old = x\n",
    "        x = soft_thresholding_operator(v - gradient / L, lambda_ / L)\n",
    "\n",
    "        time_2 = time.process_time()\n",
    "\n",
    "        # 记录时间、Lasso值和KKT条件满足程度\n",
    "        times.append(time_2 - time_1)  # 记录迭代时间\n",
    "        y.append(lasso(x, A, b, lambda_))  # 计算lasso值\n",
    "        res.append(check_kkt(x, A, b, lambda_))\n",
    "\n",
    "        # 检查收敛条件\n",
    "        if res[-1] <= tol:\n",
    "            print(f\"收敛容限tol={tol}条件下, 利用APG算法求解的最终结果为(结果保留3位小数)\\n{np.round(x, 3)}.\")\n",
    "            if plot:\n",
    "                view_plot(y, res, times, log10=True)\n",
    "            return x, y, res, times\n",
    "\n",
    "        # 显示迭代过程信息\n",
    "        if show_process and ((i + 1) % 100 == 0 or (i + 1) == max_iter):\n",
    "            print(\"%d:\\tlasso value: %3e, \\tres: %3e, \\trun time: %3e\" % (i + 1, y[-1], res[-1], time_2 - time_0))\n",
    "\n",
    "    # 如果未达到收敛条件，输出提示信息\n",
    "    print(\"在最大迭代次数内, APG算法未达到收敛容限.\")\n",
    "    if plot:\n",
    "        view_plot(y, res, times, log10=True)\n",
    "    return x, y, res, times\n"
   ],
   "id": "c470cd5b046bc594",
   "outputs": [],
   "execution_count": 15
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "# ADMM算法求解Lasso回归问题",
   "id": "34c074c438f848ef"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-06-20T11:43:29.533060Z",
     "start_time": "2024-06-20T11:43:29.519043Z"
    }
   },
   "cell_type": "code",
   "source": [
    "def admm_lasso(A, b, lambda_, rho, x=None, max_iter=1000, tol=1e-5, plot=True, show_process=True):\n",
    "    \"\"\"\n",
    "    使用ADMM算法求解Lasso回归问题\n",
    "    \n",
    "     \n",
    "    :param A: 特征矩阵。\n",
    "    :param b: 目标向量。\n",
    "    :param lambda_: L1正则化参数。\n",
    "    :param x: 权重向量初值。\n",
    "    :param rho:\n",
    "    :param max_iter: 最大迭代次数，默认为10000。\n",
    "    :param tol: 收敛容限，默认为1e-5。\n",
    "    :param plot: 是否绘制收敛曲线，默认为True。\n",
    "    :param show_process: 是否在迭代过程中显示信息，默认为True。\n",
    "    :return:\n",
    "        x: 求解得到的权重向量。\n",
    "        res: 每次迭代的KKT条件满足程度。\n",
    "        times: 每次迭代的时间。\n",
    "    \"\"\"\n",
    "    m, n = A.shape\n",
    "    if x is None:\n",
    "        x = np.zeros(n)\n",
    "    z = np.zeros(n)\n",
    "    u = np.zeros(n)  # Lagrange multiplier\n",
    "    res = []\n",
    "    times = []\n",
    "    y = []\n",
    "    time_0 = time.process_time()\n",
    "    for i in range(max_iter):\n",
    "        time_1 = time.process_time()\n",
    "        x = np.linalg.solve(A.T @ A + rho * np.eye(n), A.T @ b + rho * z - u)\n",
    "        z = soft_thresholding_operator(x + u / rho, lambda_ / rho)\n",
    "        u += x - z\n",
    "\n",
    "        time_2 = time.process_time()\n",
    "        times.append(time_2 - time_1)  # 记录迭代时间\n",
    "        res.append(check_kkt(x, A, b, lambda_))\n",
    "        y.append(lasso(x, A, b, lambda_))\n",
    "        if res[-1] <= tol:\n",
    "            print(f\"收敛容限tol={tol}条件下, 利用ADMM算法求解的最终结果为(结果保留3位小数)\\n{np.round(x, 3)}.\")\n",
    "            if plot:\n",
    "                view_plot(y, res, times, log10=True)\n",
    "            return x, y, res, times\n",
    "        if show_process and ((i + 1) % 100 == 0 or (i + 1) == max_iter):\n",
    "            print(\"%d:\\tlasso value: %3e, \\tres: %3e, \\trun time: %3e\" % (i + 1, y[-1], res[-1], time_2 - time_0))\n",
    "    print(\"在最大迭代次数内, ADMM算法未达到收敛容限.\")\n",
    "    if plot:\n",
    "        view_plot(y, res, times, log10=True)\n",
    "    return x, y, res, times\n"
   ],
   "id": "e4e9d0745f3c71d7",
   "outputs": [],
   "execution_count": 16
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "# 数值模拟",
   "id": "3b1b187c88361432"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-06-20T11:43:29.548810Z",
     "start_time": "2024-06-20T11:43:29.535777Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# 数据生成\n",
    "def generate_data(n_samples, n_features):\n",
    "    matrixA = np.random.randn(n_samples, n_features)\n",
    "    true_coef = np.random.uniform(0, 1, n_features)\n",
    "    # 将系数向量中的大部分元素设置为零，以模拟稀疏性\n",
    "    true_coef[abs(true_coef) < 0.6] = 0\n",
    "    vectorb = np.dot(matrixA, true_coef) + np.random.normal(size=n_samples)\n",
    "    return matrixA, vectorb, true_coef"
   ],
   "id": "8de3bc45a4b0d0f8",
   "outputs": [],
   "execution_count": 17
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-06-20T11:45:45.255404Z",
     "start_time": "2024-06-20T11:43:29.550491Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# 设置参数\n",
    "iters = int(1e5)\n",
    "tol = 1e-5\n",
    "\n",
    "np.random.seed(0)\n",
    "matrixA, vectorb, true_coef = generate_data(100, 1000)\n",
    "\n",
    "x_pg, y_pg, res_pg, times_pg = pg_lasso(matrixA, vectorb, 0.4, max_iter=iters, tol=tol, plot=True, show_process=True)\n",
    "x_apg, y_apg, res_apg, times_apg = apg_lasso(matrixA, vectorb, 0.4, max_iter=iters, tol=tol, plot=True,\n",
    "                                             show_process=True)\n",
    "x_admm, y_admm, res_admm, times_admm = admm_lasso(matrixA, vectorb, 0.4, 1, max_iter=iters, tol=tol, plot=True,\n",
    "                                                  show_process=True)"
   ],
   "id": "f2f5dffa5cf186c1",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "100:\tlasso value: 4.845600e+01, \tres: 5.641603e-01, \trun time: 1.562500e-02\n",
      "200:\tlasso value: 4.642314e+01, \tres: 5.228611e-01, \trun time: 3.125000e-02\n",
      "300:\tlasso value: 4.484221e+01, \tres: 4.895445e-01, \trun time: 3.125000e-02\n",
      "400:\tlasso value: 4.359344e+01, \tres: 4.538673e-01, \trun time: 4.687500e-02\n",
      "500:\tlasso value: 4.258444e+01, \tres: 4.290385e-01, \trun time: 4.687500e-02\n",
      "600:\tlasso value: 4.173862e+01, \tres: 4.023854e-01, \trun time: 6.250000e-02\n",
      "700:\tlasso value: 4.099821e+01, \tres: 3.814897e-01, \trun time: 7.812500e-02\n",
      "800:\tlasso value: 4.034618e+01, \tres: 3.619797e-01, \trun time: 7.812500e-02\n",
      "900:\tlasso value: 3.977022e+01, \tres: 3.423157e-01, \trun time: 7.812500e-02\n",
      "1000:\tlasso value: 3.927618e+01, \tres: 3.267499e-01, \trun time: 7.812500e-02\n",
      "1100:\tlasso value: 3.882282e+01, \tres: 3.120259e-01, \trun time: 1.093750e-01\n",
      "1200:\tlasso value: 3.840360e+01, \tres: 3.002608e-01, \trun time: 1.250000e-01\n",
      "1300:\tlasso value: 3.802897e+01, \tres: 2.852799e-01, \trun time: 1.562500e-01\n",
      "1400:\tlasso value: 3.767966e+01, \tres: 2.734249e-01, \trun time: 1.875000e-01\n",
      "1500:\tlasso value: 3.735966e+01, \tres: 2.621177e-01, \trun time: 2.187500e-01\n",
      "1600:\tlasso value: 3.706500e+01, \tres: 2.514944e-01, \trun time: 2.500000e-01\n",
      "1700:\tlasso value: 3.679459e+01, \tres: 2.416056e-01, \trun time: 2.500000e-01\n",
      "1800:\tlasso value: 3.654122e+01, \tres: 2.318615e-01, \trun time: 2.500000e-01\n",
      "1900:\tlasso value: 3.631385e+01, \tres: 2.245855e-01, \trun time: 2.656250e-01\n",
      "2000:\tlasso value: 3.610199e+01, \tres: 2.173003e-01, \trun time: 3.125000e-01\n",
      "2100:\tlasso value: 3.590594e+01, \tres: 2.109548e-01, \trun time: 3.281250e-01\n",
      "2200:\tlasso value: 3.572588e+01, \tres: 2.028062e-01, \trun time: 3.593750e-01\n",
      "2300:\tlasso value: 3.556423e+01, \tres: 1.962616e-01, \trun time: 3.593750e-01\n",
      "2400:\tlasso value: 3.541367e+01, \tres: 1.893859e-01, \trun time: 3.750000e-01\n",
      "2500:\tlasso value: 3.526789e+01, \tres: 1.852273e-01, \trun time: 3.906250e-01\n",
      "2600:\tlasso value: 3.512655e+01, \tres: 1.822678e-01, \trun time: 4.062500e-01\n",
      "2700:\tlasso value: 3.499291e+01, \tres: 1.780840e-01, \trun time: 4.531250e-01\n",
      "2800:\tlasso value: 3.486831e+01, \tres: 1.742493e-01, \trun time: 4.687500e-01\n",
      "2900:\tlasso value: 3.475099e+01, \tres: 1.710808e-01, \trun time: 4.687500e-01\n",
      "3000:\tlasso value: 3.463569e+01, \tres: 1.687518e-01, \trun time: 4.687500e-01\n",
      "3100:\tlasso value: 3.452621e+01, \tres: 1.628034e-01, \trun time: 5.000000e-01\n",
      "3200:\tlasso value: 3.442043e+01, \tres: 1.603185e-01, \trun time: 5.000000e-01\n",
      "3300:\tlasso value: 3.431641e+01, \tres: 1.577304e-01, \trun time: 5.156250e-01\n",
      "3400:\tlasso value: 3.421636e+01, \tres: 1.523609e-01, \trun time: 5.312500e-01\n",
      "3500:\tlasso value: 3.412071e+01, \tres: 1.493576e-01, \trun time: 5.468750e-01\n",
      "3600:\tlasso value: 3.402874e+01, \tres: 1.457349e-01, \trun time: 5.468750e-01\n",
      "3700:\tlasso value: 3.394062e+01, \tres: 1.413379e-01, \trun time: 5.468750e-01\n",
      "3800:\tlasso value: 3.385722e+01, \tres: 1.388318e-01, \trun time: 5.468750e-01\n",
      "3900:\tlasso value: 3.377668e+01, \tres: 1.369667e-01, \trun time: 5.468750e-01\n",
      "4000:\tlasso value: 3.369749e+01, \tres: 1.350288e-01, \trun time: 5.625000e-01\n",
      "4100:\tlasso value: 3.362046e+01, \tres: 1.322798e-01, \trun time: 5.937500e-01\n",
      "4200:\tlasso value: 3.354544e+01, \tres: 1.299832e-01, \trun time: 6.093750e-01\n",
      "4300:\tlasso value: 3.347311e+01, \tres: 1.270994e-01, \trun time: 6.250000e-01\n",
      "4400:\tlasso value: 3.340320e+01, \tres: 1.244697e-01, \trun time: 6.406250e-01\n",
      "4500:\tlasso value: 3.333550e+01, \tres: 1.211928e-01, \trun time: 6.406250e-01\n",
      "4600:\tlasso value: 3.327043e+01, \tres: 1.184556e-01, \trun time: 6.718750e-01\n",
      "4700:\tlasso value: 3.320865e+01, \tres: 1.169171e-01, \trun time: 6.875000e-01\n",
      "4800:\tlasso value: 3.314824e+01, \tres: 1.147490e-01, \trun time: 6.875000e-01\n",
      "4900:\tlasso value: 3.309181e+01, \tres: 1.118580e-01, \trun time: 6.875000e-01\n",
      "5000:\tlasso value: 3.303749e+01, \tres: 1.092096e-01, \trun time: 6.875000e-01\n",
      "5100:\tlasso value: 3.298461e+01, \tres: 1.079531e-01, \trun time: 7.187500e-01\n",
      "5200:\tlasso value: 3.293265e+01, \tres: 1.060760e-01, \trun time: 7.187500e-01\n",
      "5300:\tlasso value: 3.288394e+01, \tres: 1.047025e-01, \trun time: 7.187500e-01\n",
      "5400:\tlasso value: 3.283717e+01, \tres: 1.024984e-01, \trun time: 7.187500e-01\n",
      "5500:\tlasso value: 3.279134e+01, \tres: 1.011045e-01, \trun time: 7.187500e-01\n",
      "5600:\tlasso value: 3.274710e+01, \tres: 9.860406e-02, \trun time: 7.343750e-01\n",
      "5700:\tlasso value: 3.270561e+01, \tres: 9.734254e-02, \trun time: 7.500000e-01\n",
      "5800:\tlasso value: 3.266436e+01, \tres: 9.604795e-02, \trun time: 7.656250e-01\n",
      "5900:\tlasso value: 3.262436e+01, \tres: 9.457849e-02, \trun time: 7.812500e-01\n",
      "6000:\tlasso value: 3.258459e+01, \tres: 9.366277e-02, \trun time: 7.812500e-01\n",
      "6100:\tlasso value: 3.254494e+01, \tres: 9.265212e-02, \trun time: 7.812500e-01\n",
      "6200:\tlasso value: 3.250654e+01, \tres: 9.145069e-02, \trun time: 7.968750e-01\n",
      "6300:\tlasso value: 3.246933e+01, \tres: 9.001749e-02, \trun time: 7.968750e-01\n",
      "6400:\tlasso value: 3.243257e+01, \tres: 8.916774e-02, \trun time: 8.125000e-01\n",
      "6500:\tlasso value: 3.239615e+01, \tres: 8.827795e-02, \trun time: 8.125000e-01\n",
      "6600:\tlasso value: 3.236013e+01, \tres: 8.745359e-02, \trun time: 8.125000e-01\n",
      "6700:\tlasso value: 3.232503e+01, \tres: 8.593420e-02, \trun time: 8.125000e-01\n",
      "6800:\tlasso value: 3.229148e+01, \tres: 8.536154e-02, \trun time: 8.281250e-01\n",
      "6900:\tlasso value: 3.225841e+01, \tres: 8.444477e-02, \trun time: 8.437500e-01\n",
      "7000:\tlasso value: 3.222681e+01, \tres: 8.319210e-02, \trun time: 8.593750e-01\n",
      "7100:\tlasso value: 3.219576e+01, \tres: 8.209630e-02, \trun time: 8.593750e-01\n",
      "7200:\tlasso value: 3.216647e+01, \tres: 8.088933e-02, \trun time: 8.750000e-01\n",
      "7300:\tlasso value: 3.213732e+01, \tres: 8.048177e-02, \trun time: 8.750000e-01\n",
      "7400:\tlasso value: 3.210830e+01, \tres: 7.937547e-02, \trun time: 8.750000e-01\n",
      "7500:\tlasso value: 3.208009e+01, \tres: 7.865849e-02, \trun time: 8.906250e-01\n",
      "7600:\tlasso value: 3.205190e+01, \tres: 7.812882e-02, \trun time: 9.062500e-01\n",
      "7700:\tlasso value: 3.202397e+01, \tres: 7.743934e-02, \trun time: 9.218750e-01\n",
      "7800:\tlasso value: 3.199617e+01, \tres: 7.679421e-02, \trun time: 9.375000e-01\n",
      "7900:\tlasso value: 3.196916e+01, \tres: 7.557002e-02, \trun time: 9.375000e-01\n",
      "8000:\tlasso value: 3.194311e+01, \tres: 7.460337e-02, \trun time: 9.531250e-01\n",
      "8100:\tlasso value: 3.191725e+01, \tres: 7.411950e-02, \trun time: 9.843750e-01\n",
      "8200:\tlasso value: 3.189184e+01, \tres: 7.283459e-02, \trun time: 1.000000e+00\n",
      "8300:\tlasso value: 3.186714e+01, \tres: 7.171314e-02, \trun time: 1.000000e+00\n",
      "8400:\tlasso value: 3.184292e+01, \tres: 7.114017e-02, \trun time: 1.015625e+00\n",
      "8500:\tlasso value: 3.181874e+01, \tres: 7.070856e-02, \trun time: 1.031250e+00\n",
      "8600:\tlasso value: 3.179463e+01, \tres: 7.013213e-02, \trun time: 1.046875e+00\n",
      "8700:\tlasso value: 3.177086e+01, \tres: 6.968009e-02, \trun time: 1.062500e+00\n",
      "8800:\tlasso value: 3.174709e+01, \tres: 6.932044e-02, \trun time: 1.078125e+00\n",
      "8900:\tlasso value: 3.172367e+01, \tres: 6.784688e-02, \trun time: 1.078125e+00\n",
      "9000:\tlasso value: 3.170134e+01, \tres: 6.649251e-02, \trun time: 1.093750e+00\n",
      "9100:\tlasso value: 3.167933e+01, \tres: 6.514784e-02, \trun time: 1.109375e+00\n",
      "9200:\tlasso value: 3.165811e+01, \tres: 6.442554e-02, \trun time: 1.125000e+00\n",
      "9300:\tlasso value: 3.163704e+01, \tres: 6.387814e-02, \trun time: 1.125000e+00\n",
      "9400:\tlasso value: 3.161685e+01, \tres: 6.252267e-02, \trun time: 1.140625e+00\n",
      "9500:\tlasso value: 3.159759e+01, \tres: 6.175328e-02, \trun time: 1.156250e+00\n",
      "9600:\tlasso value: 3.157876e+01, \tres: 6.131843e-02, \trun time: 1.187500e+00\n",
      "9700:\tlasso value: 3.155994e+01, \tres: 6.089838e-02, \trun time: 1.218750e+00\n",
      "9800:\tlasso value: 3.154135e+01, \tres: 6.034561e-02, \trun time: 1.218750e+00\n",
      "9900:\tlasso value: 3.152288e+01, \tres: 5.992706e-02, \trun time: 1.218750e+00\n",
      "10000:\tlasso value: 3.150448e+01, \tres: 5.955469e-02, \trun time: 1.234375e+00\n",
      "10100:\tlasso value: 3.148637e+01, \tres: 5.853512e-02, \trun time: 1.234375e+00\n",
      "10200:\tlasso value: 3.146898e+01, \tres: 5.807985e-02, \trun time: 1.234375e+00\n",
      "10300:\tlasso value: 3.145247e+01, \tres: 5.625738e-02, \trun time: 1.234375e+00\n",
      "10400:\tlasso value: 3.143667e+01, \tres: 5.580591e-02, \trun time: 1.234375e+00\n",
      "10500:\tlasso value: 3.142089e+01, \tres: 5.546401e-02, \trun time: 1.234375e+00\n",
      "10600:\tlasso value: 3.140510e+01, \tres: 5.512636e-02, \trun time: 1.250000e+00\n",
      "10700:\tlasso value: 3.138932e+01, \tres: 5.475214e-02, \trun time: 1.281250e+00\n",
      "10800:\tlasso value: 3.137353e+01, \tres: 5.441322e-02, \trun time: 1.281250e+00\n",
      "10900:\tlasso value: 3.135824e+01, \tres: 5.326634e-02, \trun time: 1.296875e+00\n",
      "11000:\tlasso value: 3.134352e+01, \tres: 5.294241e-02, \trun time: 1.296875e+00\n",
      "11100:\tlasso value: 3.132895e+01, \tres: 5.243601e-02, \trun time: 1.312500e+00\n",
      "11200:\tlasso value: 3.131474e+01, \tres: 5.217210e-02, \trun time: 1.312500e+00\n",
      "11300:\tlasso value: 3.130054e+01, \tres: 5.193082e-02, \trun time: 1.312500e+00\n",
      "11400:\tlasso value: 3.128662e+01, \tres: 5.085689e-02, \trun time: 1.328125e+00\n",
      "11500:\tlasso value: 3.127405e+01, \tres: 4.926579e-02, \trun time: 1.328125e+00\n",
      "11600:\tlasso value: 3.126172e+01, \tres: 4.897852e-02, \trun time: 1.343750e+00\n",
      "11700:\tlasso value: 3.124939e+01, \tres: 4.873194e-02, \trun time: 1.359375e+00\n",
      "11800:\tlasso value: 3.123708e+01, \tres: 4.839799e-02, \trun time: 1.375000e+00\n",
      "11900:\tlasso value: 3.122478e+01, \tres: 4.817952e-02, \trun time: 1.375000e+00\n",
      "12000:\tlasso value: 3.121252e+01, \tres: 4.776511e-02, \trun time: 1.390625e+00\n",
      "12100:\tlasso value: 3.120070e+01, \tres: 4.733775e-02, \trun time: 1.390625e+00\n",
      "12200:\tlasso value: 3.118891e+01, \tres: 4.712673e-02, \trun time: 1.406250e+00\n",
      "12300:\tlasso value: 3.117712e+01, \tres: 4.694135e-02, \trun time: 1.421875e+00\n",
      "12400:\tlasso value: 3.116572e+01, \tres: 4.613722e-02, \trun time: 1.437500e+00\n",
      "12500:\tlasso value: 3.115463e+01, \tres: 4.576840e-02, \trun time: 1.437500e+00\n",
      "12600:\tlasso value: 3.114393e+01, \tres: 4.520141e-02, \trun time: 1.484375e+00\n",
      "12700:\tlasso value: 3.113333e+01, \tres: 4.505335e-02, \trun time: 1.500000e+00\n",
      "12800:\tlasso value: 3.112273e+01, \tres: 4.487653e-02, \trun time: 1.515625e+00\n",
      "12900:\tlasso value: 3.111230e+01, \tres: 4.414297e-02, \trun time: 1.515625e+00\n",
      "13000:\tlasso value: 3.110220e+01, \tres: 4.388901e-02, \trun time: 1.531250e+00\n",
      "13100:\tlasso value: 3.109225e+01, \tres: 4.345048e-02, \trun time: 1.531250e+00\n",
      "13200:\tlasso value: 3.108259e+01, \tres: 4.251836e-02, \trun time: 1.531250e+00\n",
      "13300:\tlasso value: 3.107314e+01, \tres: 4.227597e-02, \trun time: 1.531250e+00\n",
      "13400:\tlasso value: 3.106370e+01, \tres: 4.208405e-02, \trun time: 1.531250e+00\n",
      "13500:\tlasso value: 3.105426e+01, \tres: 4.190010e-02, \trun time: 1.531250e+00\n",
      "13600:\tlasso value: 3.104482e+01, \tres: 4.173134e-02, \trun time: 1.562500e+00\n",
      "13700:\tlasso value: 3.103538e+01, \tres: 4.157875e-02, \trun time: 1.578125e+00\n",
      "13800:\tlasso value: 3.102628e+01, \tres: 4.098999e-02, \trun time: 1.578125e+00\n",
      "13900:\tlasso value: 3.101734e+01, \tres: 4.075113e-02, \trun time: 1.578125e+00\n",
      "14000:\tlasso value: 3.100846e+01, \tres: 4.063706e-02, \trun time: 1.578125e+00\n",
      "14100:\tlasso value: 3.099958e+01, \tres: 4.053547e-02, \trun time: 1.609375e+00\n",
      "14200:\tlasso value: 3.099077e+01, \tres: 4.024387e-02, \trun time: 1.625000e+00\n",
      "14300:\tlasso value: 3.098203e+01, \tres: 3.980933e-02, \trun time: 1.656250e+00\n",
      "14400:\tlasso value: 3.097385e+01, \tres: 3.874086e-02, \trun time: 1.656250e+00\n",
      "14500:\tlasso value: 3.096597e+01, \tres: 3.845767e-02, \trun time: 1.687500e+00\n",
      "14600:\tlasso value: 3.095810e+01, \tres: 3.832360e-02, \trun time: 1.718750e+00\n",
      "14700:\tlasso value: 3.095026e+01, \tres: 3.819574e-02, \trun time: 1.718750e+00\n",
      "14800:\tlasso value: 3.094247e+01, \tres: 3.812896e-02, \trun time: 1.734375e+00\n",
      "14900:\tlasso value: 3.093467e+01, \tres: 3.805261e-02, \trun time: 1.734375e+00\n",
      "15000:\tlasso value: 3.092699e+01, \tres: 3.752545e-02, \trun time: 1.765625e+00\n",
      "15100:\tlasso value: 3.091943e+01, \tres: 3.738528e-02, \trun time: 1.781250e+00\n",
      "15200:\tlasso value: 3.091199e+01, \tres: 3.714428e-02, \trun time: 1.781250e+00\n",
      "15300:\tlasso value: 3.090459e+01, \tres: 3.702471e-02, \trun time: 1.781250e+00\n",
      "15400:\tlasso value: 3.089718e+01, \tres: 3.692122e-02, \trun time: 1.781250e+00\n",
      "15500:\tlasso value: 3.088978e+01, \tres: 3.682875e-02, \trun time: 1.796875e+00\n",
      "15600:\tlasso value: 3.088253e+01, \tres: 3.640180e-02, \trun time: 1.812500e+00\n",
      "15700:\tlasso value: 3.087554e+01, \tres: 3.565983e-02, \trun time: 1.843750e+00\n",
      "15800:\tlasso value: 3.086887e+01, \tres: 3.540481e-02, \trun time: 1.859375e+00\n",
      "15900:\tlasso value: 3.086223e+01, \tres: 3.530721e-02, \trun time: 1.875000e+00\n",
      "16000:\tlasso value: 3.085559e+01, \tres: 3.523883e-02, \trun time: 1.875000e+00\n",
      "16100:\tlasso value: 3.084896e+01, \tres: 3.517979e-02, \trun time: 1.875000e+00\n",
      "16200:\tlasso value: 3.084232e+01, \tres: 3.512476e-02, \trun time: 1.906250e+00\n",
      "16300:\tlasso value: 3.083573e+01, \tres: 3.489245e-02, \trun time: 1.921875e+00\n",
      "16400:\tlasso value: 3.082924e+01, \tres: 3.470555e-02, \trun time: 1.921875e+00\n",
      "16500:\tlasso value: 3.082278e+01, \tres: 3.463187e-02, \trun time: 1.953125e+00\n",
      "16600:\tlasso value: 3.081631e+01, \tres: 3.458199e-02, \trun time: 1.953125e+00\n",
      "16700:\tlasso value: 3.080985e+01, \tres: 3.453704e-02, \trun time: 1.953125e+00\n",
      "16800:\tlasso value: 3.080339e+01, \tres: 3.449583e-02, \trun time: 1.953125e+00\n",
      "16900:\tlasso value: 3.079696e+01, \tres: 3.439712e-02, \trun time: 1.984375e+00\n",
      "17000:\tlasso value: 3.079063e+01, \tres: 3.388840e-02, \trun time: 2.015625e+00\n",
      "17100:\tlasso value: 3.078454e+01, \tres: 3.363733e-02, \trun time: 2.015625e+00\n",
      "17200:\tlasso value: 3.077848e+01, \tres: 3.353744e-02, \trun time: 2.031250e+00\n",
      "17300:\tlasso value: 3.077244e+01, \tres: 3.344253e-02, \trun time: 2.046875e+00\n",
      "17400:\tlasso value: 3.076640e+01, \tres: 3.335448e-02, \trun time: 2.062500e+00\n",
      "17500:\tlasso value: 3.076039e+01, \tres: 3.327953e-02, \trun time: 2.093750e+00\n",
      "17600:\tlasso value: 3.075438e+01, \tres: 3.320719e-02, \trun time: 2.109375e+00\n",
      "17700:\tlasso value: 3.074836e+01, \tres: 3.313345e-02, \trun time: 2.109375e+00\n",
      "17800:\tlasso value: 3.074235e+01, \tres: 3.300221e-02, \trun time: 2.109375e+00\n",
      "17900:\tlasso value: 3.073634e+01, \tres: 3.287967e-02, \trun time: 2.125000e+00\n",
      "18000:\tlasso value: 3.073033e+01, \tres: 3.276559e-02, \trun time: 2.125000e+00\n",
      "18100:\tlasso value: 3.072435e+01, \tres: 3.250144e-02, \trun time: 2.156250e+00\n",
      "18200:\tlasso value: 3.071838e+01, \tres: 3.238085e-02, \trun time: 2.171875e+00\n",
      "18300:\tlasso value: 3.071242e+01, \tres: 3.227796e-02, \trun time: 2.187500e+00\n",
      "18400:\tlasso value: 3.070645e+01, \tres: 3.215932e-02, \trun time: 2.203125e+00\n",
      "18500:\tlasso value: 3.070048e+01, \tres: 3.196296e-02, \trun time: 2.218750e+00\n",
      "18600:\tlasso value: 3.069452e+01, \tres: 3.178365e-02, \trun time: 2.218750e+00\n",
      "18700:\tlasso value: 3.068884e+01, \tres: 3.108218e-02, \trun time: 2.234375e+00\n",
      "18800:\tlasso value: 3.068324e+01, \tres: 3.088047e-02, \trun time: 2.265625e+00\n",
      "18900:\tlasso value: 3.067765e+01, \tres: 3.072362e-02, \trun time: 2.265625e+00\n",
      "19000:\tlasso value: 3.067206e+01, \tres: 3.058903e-02, \trun time: 2.281250e+00\n",
      "19100:\tlasso value: 3.066647e+01, \tres: 3.044924e-02, \trun time: 2.296875e+00\n",
      "19200:\tlasso value: 3.066088e+01, \tres: 3.032773e-02, \trun time: 2.328125e+00\n",
      "19300:\tlasso value: 3.065535e+01, \tres: 3.006849e-02, \trun time: 2.343750e+00\n",
      "19400:\tlasso value: 3.065013e+01, \tres: 2.932273e-02, \trun time: 2.359375e+00\n",
      "19500:\tlasso value: 3.064513e+01, \tres: 2.904391e-02, \trun time: 2.359375e+00\n",
      "19600:\tlasso value: 3.064021e+01, \tres: 2.894028e-02, \trun time: 2.375000e+00\n",
      "19700:\tlasso value: 3.063530e+01, \tres: 2.887114e-02, \trun time: 2.390625e+00\n",
      "19800:\tlasso value: 3.063039e+01, \tres: 2.878439e-02, \trun time: 2.406250e+00\n",
      "19900:\tlasso value: 3.062548e+01, \tres: 2.870462e-02, \trun time: 2.406250e+00\n",
      "20000:\tlasso value: 3.062057e+01, \tres: 2.863551e-02, \trun time: 2.437500e+00\n",
      "20100:\tlasso value: 3.061578e+01, \tres: 2.784751e-02, \trun time: 2.468750e+00\n",
      "20200:\tlasso value: 3.061151e+01, \tres: 2.724097e-02, \trun time: 2.484375e+00\n",
      "20300:\tlasso value: 3.060735e+01, \tres: 2.709410e-02, \trun time: 2.484375e+00\n",
      "20400:\tlasso value: 3.060321e+01, \tres: 2.703339e-02, \trun time: 2.484375e+00\n",
      "20500:\tlasso value: 3.059909e+01, \tres: 2.692447e-02, \trun time: 2.484375e+00\n",
      "20600:\tlasso value: 3.059498e+01, \tres: 2.688059e-02, \trun time: 2.500000e+00\n",
      "20700:\tlasso value: 3.059087e+01, \tres: 2.684285e-02, \trun time: 2.500000e+00\n",
      "20800:\tlasso value: 3.058677e+01, \tres: 2.680889e-02, \trun time: 2.500000e+00\n",
      "20900:\tlasso value: 3.058266e+01, \tres: 2.677785e-02, \trun time: 2.500000e+00\n",
      "21000:\tlasso value: 3.057855e+01, \tres: 2.674944e-02, \trun time: 2.515625e+00\n",
      "21100:\tlasso value: 3.057445e+01, \tres: 2.672352e-02, \trun time: 2.515625e+00\n",
      "21200:\tlasso value: 3.057034e+01, \tres: 2.669989e-02, \trun time: 2.515625e+00\n",
      "21300:\tlasso value: 3.056623e+01, \tres: 2.667858e-02, \trun time: 2.515625e+00\n",
      "21400:\tlasso value: 3.056217e+01, \tres: 2.631629e-02, \trun time: 2.531250e+00\n",
      "21500:\tlasso value: 3.055828e+01, \tres: 2.618478e-02, \trun time: 2.531250e+00\n",
      "21600:\tlasso value: 3.055439e+01, \tres: 2.615569e-02, \trun time: 2.546875e+00\n",
      "21700:\tlasso value: 3.055051e+01, \tres: 2.613381e-02, \trun time: 2.578125e+00\n",
      "21800:\tlasso value: 3.054663e+01, \tres: 2.611318e-02, \trun time: 2.578125e+00\n",
      "21900:\tlasso value: 3.054275e+01, \tres: 2.609363e-02, \trun time: 2.578125e+00\n",
      "22000:\tlasso value: 3.053888e+01, \tres: 2.602447e-02, \trun time: 2.593750e+00\n",
      "22100:\tlasso value: 3.053503e+01, \tres: 2.600145e-02, \trun time: 2.625000e+00\n",
      "22200:\tlasso value: 3.053118e+01, \tres: 2.598216e-02, \trun time: 2.640625e+00\n",
      "22300:\tlasso value: 3.052733e+01, \tres: 2.596371e-02, \trun time: 2.671875e+00\n",
      "22400:\tlasso value: 3.052348e+01, \tres: 2.593247e-02, \trun time: 2.671875e+00\n",
      "22500:\tlasso value: 3.051962e+01, \tres: 2.589575e-02, \trun time: 2.687500e+00\n",
      "22600:\tlasso value: 3.051577e+01, \tres: 2.585987e-02, \trun time: 2.687500e+00\n",
      "22700:\tlasso value: 3.051192e+01, \tres: 2.582618e-02, \trun time: 2.703125e+00\n",
      "22800:\tlasso value: 3.050807e+01, \tres: 2.579149e-02, \trun time: 2.718750e+00\n",
      "22900:\tlasso value: 3.050422e+01, \tres: 2.573840e-02, \trun time: 2.718750e+00\n",
      "23000:\tlasso value: 3.050039e+01, \tres: 2.558934e-02, \trun time: 2.750000e+00\n",
      "23100:\tlasso value: 3.049658e+01, \tres: 2.550517e-02, \trun time: 2.750000e+00\n",
      "23200:\tlasso value: 3.049277e+01, \tres: 2.543014e-02, \trun time: 2.765625e+00\n",
      "23300:\tlasso value: 3.048896e+01, \tres: 2.534747e-02, \trun time: 2.781250e+00\n",
      "23400:\tlasso value: 3.048515e+01, \tres: 2.525273e-02, \trun time: 2.781250e+00\n",
      "23500:\tlasso value: 3.048134e+01, \tres: 2.516559e-02, \trun time: 2.796875e+00\n",
      "23600:\tlasso value: 3.047753e+01, \tres: 2.508939e-02, \trun time: 2.812500e+00\n",
      "23700:\tlasso value: 3.047373e+01, \tres: 2.502110e-02, \trun time: 2.843750e+00\n",
      "23800:\tlasso value: 3.046992e+01, \tres: 2.495943e-02, \trun time: 2.843750e+00\n",
      "23900:\tlasso value: 3.046612e+01, \tres: 2.490280e-02, \trun time: 2.843750e+00\n",
      "24000:\tlasso value: 3.046232e+01, \tres: 2.478546e-02, \trun time: 2.843750e+00\n",
      "24100:\tlasso value: 3.045862e+01, \tres: 2.470302e-02, \trun time: 2.859375e+00\n",
      "24200:\tlasso value: 3.045493e+01, \tres: 2.466824e-02, \trun time: 2.875000e+00\n",
      "24300:\tlasso value: 3.045124e+01, \tres: 2.460653e-02, \trun time: 2.875000e+00\n",
      "24400:\tlasso value: 3.044755e+01, \tres: 2.454847e-02, \trun time: 2.906250e+00\n",
      "24500:\tlasso value: 3.044392e+01, \tres: 2.413519e-02, \trun time: 2.937500e+00\n",
      "24600:\tlasso value: 3.044039e+01, \tres: 2.397717e-02, \trun time: 2.968750e+00\n",
      "24700:\tlasso value: 3.043688e+01, \tres: 2.389149e-02, \trun time: 2.984375e+00\n",
      "24800:\tlasso value: 3.043342e+01, \tres: 2.369877e-02, \trun time: 3.000000e+00\n",
      "24900:\tlasso value: 3.043003e+01, \tres: 2.359726e-02, \trun time: 3.000000e+00\n",
      "25000:\tlasso value: 3.042667e+01, \tres: 2.333126e-02, \trun time: 3.000000e+00\n",
      "25100:\tlasso value: 3.042341e+01, \tres: 2.306371e-02, \trun time: 3.000000e+00\n",
      "25200:\tlasso value: 3.042016e+01, \tres: 2.297996e-02, \trun time: 3.015625e+00\n",
      "25300:\tlasso value: 3.041693e+01, \tres: 2.292078e-02, \trun time: 3.015625e+00\n",
      "25400:\tlasso value: 3.041369e+01, \tres: 2.283405e-02, \trun time: 3.015625e+00\n",
      "25500:\tlasso value: 3.041045e+01, \tres: 2.274426e-02, \trun time: 3.015625e+00\n",
      "25600:\tlasso value: 3.040721e+01, \tres: 2.264360e-02, \trun time: 3.031250e+00\n",
      "25700:\tlasso value: 3.040397e+01, \tres: 2.255214e-02, \trun time: 3.046875e+00\n",
      "25800:\tlasso value: 3.040073e+01, \tres: 2.246965e-02, \trun time: 3.062500e+00\n",
      "25900:\tlasso value: 3.039750e+01, \tres: 2.239607e-02, \trun time: 3.078125e+00\n",
      "26000:\tlasso value: 3.039434e+01, \tres: 2.198804e-02, \trun time: 3.093750e+00\n",
      "26100:\tlasso value: 3.039132e+01, \tres: 2.181019e-02, \trun time: 3.093750e+00\n",
      "26200:\tlasso value: 3.038844e+01, \tres: 2.128117e-02, \trun time: 3.109375e+00\n",
      "26300:\tlasso value: 3.038564e+01, \tres: 2.116210e-02, \trun time: 3.125000e+00\n",
      "26400:\tlasso value: 3.038284e+01, \tres: 2.109118e-02, \trun time: 3.125000e+00\n",
      "26500:\tlasso value: 3.038005e+01, \tres: 2.103659e-02, \trun time: 3.140625e+00\n",
      "26600:\tlasso value: 3.037726e+01, \tres: 2.099012e-02, \trun time: 3.140625e+00\n",
      "26700:\tlasso value: 3.037448e+01, \tres: 2.094877e-02, \trun time: 3.171875e+00\n",
      "26800:\tlasso value: 3.037169e+01, \tres: 2.091270e-02, \trun time: 3.187500e+00\n",
      "26900:\tlasso value: 3.036890e+01, \tres: 2.088187e-02, \trun time: 3.234375e+00\n",
      "27000:\tlasso value: 3.036611e+01, \tres: 2.085623e-02, \trun time: 3.265625e+00\n",
      "27100:\tlasso value: 3.036338e+01, \tres: 2.050883e-02, \trun time: 3.281250e+00\n",
      "27200:\tlasso value: 3.036078e+01, \tres: 2.036545e-02, \trun time: 3.281250e+00\n",
      "27300:\tlasso value: 3.035820e+01, \tres: 2.031764e-02, \trun time: 3.296875e+00\n",
      "27400:\tlasso value: 3.035566e+01, \tres: 1.998089e-02, \trun time: 3.343750e+00\n",
      "27500:\tlasso value: 3.035323e+01, \tres: 1.982343e-02, \trun time: 3.343750e+00\n",
      "27600:\tlasso value: 3.035091e+01, \tres: 1.950575e-02, \trun time: 3.343750e+00\n",
      "27700:\tlasso value: 3.034861e+01, \tres: 1.945589e-02, \trun time: 3.359375e+00\n",
      "27800:\tlasso value: 3.034632e+01, \tres: 1.943563e-02, \trun time: 3.390625e+00\n",
      "27900:\tlasso value: 3.034403e+01, \tres: 1.942333e-02, \trun time: 3.390625e+00\n",
      "28000:\tlasso value: 3.034175e+01, \tres: 1.941355e-02, \trun time: 3.390625e+00\n",
      "28100:\tlasso value: 3.033946e+01, \tres: 1.940463e-02, \trun time: 3.406250e+00\n",
      "28200:\tlasso value: 3.033717e+01, \tres: 1.939601e-02, \trun time: 3.437500e+00\n",
      "28300:\tlasso value: 3.033489e+01, \tres: 1.938748e-02, \trun time: 3.453125e+00\n",
      "28400:\tlasso value: 3.033260e+01, \tres: 1.937899e-02, \trun time: 3.484375e+00\n",
      "28500:\tlasso value: 3.033031e+01, \tres: 1.936265e-02, \trun time: 3.500000e+00\n",
      "28600:\tlasso value: 3.032803e+01, \tres: 1.934327e-02, \trun time: 3.515625e+00\n",
      "28700:\tlasso value: 3.032574e+01, \tres: 1.932457e-02, \trun time: 3.515625e+00\n",
      "28800:\tlasso value: 3.032345e+01, \tres: 1.930656e-02, \trun time: 3.531250e+00\n",
      "28900:\tlasso value: 3.032117e+01, \tres: 1.928923e-02, \trun time: 3.531250e+00\n",
      "29000:\tlasso value: 3.031888e+01, \tres: 1.927257e-02, \trun time: 3.531250e+00\n",
      "29100:\tlasso value: 3.031659e+01, \tres: 1.925660e-02, \trun time: 3.562500e+00\n",
      "29200:\tlasso value: 3.031431e+01, \tres: 1.924131e-02, \trun time: 3.578125e+00\n",
      "29300:\tlasso value: 3.031202e+01, \tres: 1.922670e-02, \trun time: 3.609375e+00\n",
      "29400:\tlasso value: 3.030973e+01, \tres: 1.918041e-02, \trun time: 3.640625e+00\n",
      "29500:\tlasso value: 3.030745e+01, \tres: 1.913472e-02, \trun time: 3.640625e+00\n",
      "29600:\tlasso value: 3.030516e+01, \tres: 1.909178e-02, \trun time: 3.671875e+00\n",
      "29700:\tlasso value: 3.030287e+01, \tres: 1.905159e-02, \trun time: 3.687500e+00\n",
      "29800:\tlasso value: 3.030058e+01, \tres: 1.901417e-02, \trun time: 3.703125e+00\n",
      "29900:\tlasso value: 3.029830e+01, \tres: 1.897954e-02, \trun time: 3.703125e+00\n",
      "30000:\tlasso value: 3.029601e+01, \tres: 1.894768e-02, \trun time: 3.703125e+00\n",
      "30100:\tlasso value: 3.029372e+01, \tres: 1.891844e-02, \trun time: 3.734375e+00\n",
      "30200:\tlasso value: 3.029148e+01, \tres: 1.876558e-02, \trun time: 3.734375e+00\n",
      "30300:\tlasso value: 3.028925e+01, \tres: 1.872169e-02, \trun time: 3.765625e+00\n",
      "30400:\tlasso value: 3.028703e+01, \tres: 1.869024e-02, \trun time: 3.781250e+00\n",
      "30500:\tlasso value: 3.028482e+01, \tres: 1.863260e-02, \trun time: 3.781250e+00\n",
      "30600:\tlasso value: 3.028260e+01, \tres: 1.858073e-02, \trun time: 3.781250e+00\n",
      "30700:\tlasso value: 3.028038e+01, \tres: 1.852983e-02, \trun time: 3.781250e+00\n",
      "30800:\tlasso value: 3.027817e+01, \tres: 1.848242e-02, \trun time: 3.796875e+00\n",
      "30900:\tlasso value: 3.027596e+01, \tres: 1.843641e-02, \trun time: 3.796875e+00\n",
      "31000:\tlasso value: 3.027375e+01, \tres: 1.839552e-02, \trun time: 3.812500e+00\n",
      "31100:\tlasso value: 3.027154e+01, \tres: 1.835903e-02, \trun time: 3.812500e+00\n",
      "31200:\tlasso value: 3.026943e+01, \tres: 1.793594e-02, \trun time: 3.828125e+00\n",
      "31300:\tlasso value: 3.026736e+01, \tres: 1.781803e-02, \trun time: 3.843750e+00\n",
      "31400:\tlasso value: 3.026529e+01, \tres: 1.775649e-02, \trun time: 3.859375e+00\n",
      "31500:\tlasso value: 3.026324e+01, \tres: 1.771540e-02, \trun time: 3.859375e+00\n",
      "31600:\tlasso value: 3.026118e+01, \tres: 1.768530e-02, \trun time: 3.859375e+00\n",
      "31700:\tlasso value: 3.025913e+01, \tres: 1.765955e-02, \trun time: 3.875000e+00\n",
      "31800:\tlasso value: 3.025707e+01, \tres: 1.762948e-02, \trun time: 3.890625e+00\n",
      "31900:\tlasso value: 3.025502e+01, \tres: 1.760429e-02, \trun time: 3.906250e+00\n",
      "32000:\tlasso value: 3.025311e+01, \tres: 1.691049e-02, \trun time: 3.921875e+00\n",
      "32100:\tlasso value: 3.025130e+01, \tres: 1.679447e-02, \trun time: 3.953125e+00\n",
      "32200:\tlasso value: 3.024949e+01, \tres: 1.671673e-02, \trun time: 3.953125e+00\n",
      "32300:\tlasso value: 3.024769e+01, \tres: 1.666705e-02, \trun time: 3.953125e+00\n",
      "32400:\tlasso value: 3.024590e+01, \tres: 1.663232e-02, \trun time: 3.953125e+00\n",
      "32500:\tlasso value: 3.024410e+01, \tres: 1.660548e-02, \trun time: 3.953125e+00\n",
      "32600:\tlasso value: 3.024235e+01, \tres: 1.639867e-02, \trun time: 3.953125e+00\n",
      "32700:\tlasso value: 3.024062e+01, \tres: 1.635595e-02, \trun time: 3.968750e+00\n",
      "32800:\tlasso value: 3.023889e+01, \tres: 1.633206e-02, \trun time: 4.000000e+00\n",
      "32900:\tlasso value: 3.023716e+01, \tres: 1.631490e-02, \trun time: 4.031250e+00\n",
      "33000:\tlasso value: 3.023544e+01, \tres: 1.630122e-02, \trun time: 4.046875e+00\n",
      "33100:\tlasso value: 3.023371e+01, \tres: 1.628985e-02, \trun time: 4.046875e+00\n",
      "33200:\tlasso value: 3.023198e+01, \tres: 1.627709e-02, \trun time: 4.046875e+00\n",
      "33300:\tlasso value: 3.023028e+01, \tres: 1.605374e-02, \trun time: 4.062500e+00\n",
      "33400:\tlasso value: 3.022863e+01, \tres: 1.592438e-02, \trun time: 4.078125e+00\n",
      "33500:\tlasso value: 3.022700e+01, \tres: 1.582526e-02, \trun time: 4.093750e+00\n",
      "33600:\tlasso value: 3.022542e+01, \tres: 1.569266e-02, \trun time: 4.093750e+00\n",
      "33700:\tlasso value: 3.022386e+01, \tres: 1.564748e-02, \trun time: 4.093750e+00\n",
      "33800:\tlasso value: 3.022229e+01, \tres: 1.561844e-02, \trun time: 4.109375e+00\n",
      "33900:\tlasso value: 3.022073e+01, \tres: 1.559498e-02, \trun time: 4.125000e+00\n",
      "34000:\tlasso value: 3.021917e+01, \tres: 1.555605e-02, \trun time: 4.125000e+00\n",
      "34100:\tlasso value: 3.021760e+01, \tres: 1.551893e-02, \trun time: 4.140625e+00\n",
      "34200:\tlasso value: 3.021604e+01, \tres: 1.548389e-02, \trun time: 4.156250e+00\n",
      "34300:\tlasso value: 3.021448e+01, \tres: 1.544048e-02, \trun time: 4.187500e+00\n",
      "34400:\tlasso value: 3.021292e+01, \tres: 1.536802e-02, \trun time: 4.218750e+00\n",
      "34500:\tlasso value: 3.021136e+01, \tres: 1.530050e-02, \trun time: 4.234375e+00\n",
      "34600:\tlasso value: 3.020980e+01, \tres: 1.523789e-02, \trun time: 4.234375e+00\n",
      "34700:\tlasso value: 3.020824e+01, \tres: 1.518018e-02, \trun time: 4.250000e+00\n",
      "34800:\tlasso value: 3.020667e+01, \tres: 1.512732e-02, \trun time: 4.265625e+00\n",
      "34900:\tlasso value: 3.020511e+01, \tres: 1.507937e-02, \trun time: 4.265625e+00\n",
      "35000:\tlasso value: 3.020355e+01, \tres: 1.503639e-02, \trun time: 4.281250e+00\n",
      "35100:\tlasso value: 3.020200e+01, \tres: 1.491972e-02, \trun time: 4.296875e+00\n",
      "35200:\tlasso value: 3.020045e+01, \tres: 1.487053e-02, \trun time: 4.328125e+00\n",
      "35300:\tlasso value: 3.019891e+01, \tres: 1.483817e-02, \trun time: 4.343750e+00\n",
      "35400:\tlasso value: 3.019744e+01, \tres: 1.445064e-02, \trun time: 4.343750e+00\n",
      "35500:\tlasso value: 3.019600e+01, \tres: 1.434884e-02, \trun time: 4.343750e+00\n",
      "35600:\tlasso value: 3.019458e+01, \tres: 1.414960e-02, \trun time: 4.359375e+00\n",
      "35700:\tlasso value: 3.019323e+01, \tres: 1.400727e-02, \trun time: 4.359375e+00\n",
      "35800:\tlasso value: 3.019189e+01, \tres: 1.372660e-02, \trun time: 4.359375e+00\n",
      "35900:\tlasso value: 3.019068e+01, \tres: 1.325102e-02, \trun time: 4.359375e+00\n",
      "36000:\tlasso value: 3.018951e+01, \tres: 1.310084e-02, \trun time: 4.375000e+00\n",
      "36100:\tlasso value: 3.018845e+01, \tres: 1.258618e-02, \trun time: 4.375000e+00\n",
      "36200:\tlasso value: 3.018744e+01, \tres: 1.247292e-02, \trun time: 4.390625e+00\n",
      "36300:\tlasso value: 3.018643e+01, \tres: 1.242675e-02, \trun time: 4.406250e+00\n",
      "36400:\tlasso value: 3.018543e+01, \tres: 1.240371e-02, \trun time: 4.406250e+00\n",
      "36500:\tlasso value: 3.018444e+01, \tres: 1.239042e-02, \trun time: 4.437500e+00\n",
      "36600:\tlasso value: 3.018344e+01, \tres: 1.238177e-02, \trun time: 4.437500e+00\n",
      "36700:\tlasso value: 3.018244e+01, \tres: 1.237554e-02, \trun time: 4.453125e+00\n",
      "36800:\tlasso value: 3.018145e+01, \tres: 1.237064e-02, \trun time: 4.468750e+00\n",
      "36900:\tlasso value: 3.018045e+01, \tres: 1.236652e-02, \trun time: 4.484375e+00\n",
      "37000:\tlasso value: 3.017946e+01, \tres: 1.236287e-02, \trun time: 4.484375e+00\n",
      "37100:\tlasso value: 3.017846e+01, \tres: 1.235955e-02, \trun time: 4.484375e+00\n",
      "37200:\tlasso value: 3.017747e+01, \tres: 1.235646e-02, \trun time: 4.484375e+00\n",
      "37300:\tlasso value: 3.017648e+01, \tres: 1.232303e-02, \trun time: 4.484375e+00\n",
      "37400:\tlasso value: 3.017549e+01, \tres: 1.229755e-02, \trun time: 4.484375e+00\n",
      "37500:\tlasso value: 3.017451e+01, \tres: 1.227788e-02, \trun time: 4.484375e+00\n",
      "37600:\tlasso value: 3.017352e+01, \tres: 1.226062e-02, \trun time: 4.484375e+00\n",
      "37700:\tlasso value: 3.017253e+01, \tres: 1.224484e-02, \trun time: 4.484375e+00\n",
      "37800:\tlasso value: 3.017155e+01, \tres: 1.223020e-02, \trun time: 4.515625e+00\n",
      "37900:\tlasso value: 3.017056e+01, \tres: 1.221658e-02, \trun time: 4.531250e+00\n",
      "38000:\tlasso value: 3.016958e+01, \tres: 1.220392e-02, \trun time: 4.546875e+00\n",
      "38100:\tlasso value: 3.016859e+01, \tres: 1.219221e-02, \trun time: 4.546875e+00\n",
      "38200:\tlasso value: 3.016760e+01, \tres: 1.218144e-02, \trun time: 4.562500e+00\n",
      "38300:\tlasso value: 3.016662e+01, \tres: 1.217162e-02, \trun time: 4.578125e+00\n",
      "38400:\tlasso value: 3.016563e+01, \tres: 1.216276e-02, \trun time: 4.578125e+00\n",
      "38500:\tlasso value: 3.016465e+01, \tres: 1.215435e-02, \trun time: 4.593750e+00\n",
      "38600:\tlasso value: 3.016366e+01, \tres: 1.214317e-02, \trun time: 4.609375e+00\n",
      "38700:\tlasso value: 3.016268e+01, \tres: 1.213005e-02, \trun time: 4.609375e+00\n",
      "38800:\tlasso value: 3.016169e+01, \tres: 1.211659e-02, \trun time: 4.640625e+00\n",
      "38900:\tlasso value: 3.016070e+01, \tres: 1.210465e-02, \trun time: 4.640625e+00\n",
      "39000:\tlasso value: 3.015973e+01, \tres: 1.193760e-02, \trun time: 4.687500e+00\n",
      "39100:\tlasso value: 3.015880e+01, \tres: 1.180869e-02, \trun time: 4.687500e+00\n",
      "39200:\tlasso value: 3.015788e+01, \tres: 1.176318e-02, \trun time: 4.703125e+00\n",
      "39300:\tlasso value: 3.015696e+01, \tres: 1.173596e-02, \trun time: 4.718750e+00\n",
      "39400:\tlasso value: 3.015604e+01, \tres: 1.171724e-02, \trun time: 4.734375e+00\n",
      "39500:\tlasso value: 3.015513e+01, \tres: 1.170340e-02, \trun time: 4.734375e+00\n",
      "39600:\tlasso value: 3.015421e+01, \tres: 1.169198e-02, \trun time: 4.750000e+00\n",
      "39700:\tlasso value: 3.015330e+01, \tres: 1.167419e-02, \trun time: 4.750000e+00\n",
      "39800:\tlasso value: 3.015238e+01, \tres: 1.165864e-02, \trun time: 4.765625e+00\n",
      "39900:\tlasso value: 3.015147e+01, \tres: 1.164499e-02, \trun time: 4.796875e+00\n",
      "40000:\tlasso value: 3.015056e+01, \tres: 1.163307e-02, \trun time: 4.812500e+00\n",
      "40100:\tlasso value: 3.014965e+01, \tres: 1.151476e-02, \trun time: 4.828125e+00\n",
      "40200:\tlasso value: 3.014879e+01, \tres: 1.136854e-02, \trun time: 4.843750e+00\n",
      "40300:\tlasso value: 3.014793e+01, \tres: 1.131384e-02, \trun time: 4.875000e+00\n",
      "40400:\tlasso value: 3.014708e+01, \tres: 1.127066e-02, \trun time: 4.890625e+00\n",
      "40500:\tlasso value: 3.014623e+01, \tres: 1.120380e-02, \trun time: 4.921875e+00\n",
      "40600:\tlasso value: 3.014538e+01, \tres: 1.114323e-02, \trun time: 4.921875e+00\n",
      "40700:\tlasso value: 3.014453e+01, \tres: 1.108803e-02, \trun time: 4.921875e+00\n",
      "40800:\tlasso value: 3.014368e+01, \tres: 1.103280e-02, \trun time: 4.953125e+00\n",
      "40900:\tlasso value: 3.014283e+01, \tres: 1.097225e-02, \trun time: 4.953125e+00\n",
      "41000:\tlasso value: 3.014198e+01, \tres: 1.091687e-02, \trun time: 4.968750e+00\n",
      "41100:\tlasso value: 3.014113e+01, \tres: 1.086656e-02, \trun time: 4.984375e+00\n",
      "41200:\tlasso value: 3.014028e+01, \tres: 1.082112e-02, \trun time: 5.000000e+00\n",
      "41300:\tlasso value: 3.013943e+01, \tres: 1.078060e-02, \trun time: 5.015625e+00\n",
      "41400:\tlasso value: 3.013858e+01, \tres: 1.074510e-02, \trun time: 5.031250e+00\n",
      "41500:\tlasso value: 3.013775e+01, \tres: 1.059354e-02, \trun time: 5.046875e+00\n",
      "41600:\tlasso value: 3.013693e+01, \tres: 1.056016e-02, \trun time: 5.046875e+00\n",
      "41700:\tlasso value: 3.013611e+01, \tres: 1.053819e-02, \trun time: 5.062500e+00\n",
      "41800:\tlasso value: 3.013530e+01, \tres: 1.052294e-02, \trun time: 5.093750e+00\n",
      "41900:\tlasso value: 3.013451e+01, \tres: 1.016076e-02, \trun time: 5.125000e+00\n",
      "42000:\tlasso value: 3.013380e+01, \tres: 9.893950e-03, \trun time: 5.125000e+00\n",
      "42100:\tlasso value: 3.013312e+01, \tres: 9.782554e-03, \trun time: 5.140625e+00\n",
      "42200:\tlasso value: 3.013248e+01, \tres: 9.444717e-03, \trun time: 5.171875e+00\n",
      "42300:\tlasso value: 3.013188e+01, \tres: 9.347734e-03, \trun time: 5.203125e+00\n",
      "42400:\tlasso value: 3.013129e+01, \tres: 9.310032e-03, \trun time: 5.218750e+00\n",
      "42500:\tlasso value: 3.013070e+01, \tres: 9.184700e-03, \trun time: 5.234375e+00\n",
      "42600:\tlasso value: 3.013015e+01, \tres: 9.085114e-03, \trun time: 5.250000e+00\n",
      "42700:\tlasso value: 3.012960e+01, \tres: 9.053018e-03, \trun time: 5.265625e+00\n",
      "42800:\tlasso value: 3.012906e+01, \tres: 9.037183e-03, \trun time: 5.296875e+00\n",
      "42900:\tlasso value: 3.012851e+01, \tres: 9.027012e-03, \trun time: 5.296875e+00\n",
      "43000:\tlasso value: 3.012797e+01, \tres: 9.020029e-03, \trun time: 5.296875e+00\n",
      "43100:\tlasso value: 3.012743e+01, \tres: 9.014805e-03, \trun time: 5.296875e+00\n",
      "43200:\tlasso value: 3.012689e+01, \tres: 9.010629e-03, \trun time: 5.312500e+00\n",
      "43300:\tlasso value: 3.012635e+01, \tres: 9.007280e-03, \trun time: 5.328125e+00\n",
      "43400:\tlasso value: 3.012581e+01, \tres: 9.004625e-03, \trun time: 5.359375e+00\n",
      "43500:\tlasso value: 3.012526e+01, \tres: 9.002261e-03, \trun time: 5.390625e+00\n",
      "43600:\tlasso value: 3.012472e+01, \tres: 9.000066e-03, \trun time: 5.406250e+00\n",
      "43700:\tlasso value: 3.012418e+01, \tres: 8.997987e-03, \trun time: 5.437500e+00\n",
      "43800:\tlasso value: 3.012364e+01, \tres: 8.996000e-03, \trun time: 5.453125e+00\n",
      "43900:\tlasso value: 3.012310e+01, \tres: 8.991964e-03, \trun time: 5.468750e+00\n",
      "44000:\tlasso value: 3.012256e+01, \tres: 8.982076e-03, \trun time: 5.468750e+00\n",
      "44100:\tlasso value: 3.012202e+01, \tres: 8.969733e-03, \trun time: 5.500000e+00\n",
      "44200:\tlasso value: 3.012147e+01, \tres: 8.955790e-03, \trun time: 5.515625e+00\n",
      "44300:\tlasso value: 3.012093e+01, \tres: 8.942741e-03, \trun time: 5.531250e+00\n",
      "44400:\tlasso value: 3.012039e+01, \tres: 8.930587e-03, \trun time: 5.546875e+00\n",
      "44500:\tlasso value: 3.011985e+01, \tres: 8.919333e-03, \trun time: 5.546875e+00\n",
      "44600:\tlasso value: 3.011931e+01, \tres: 8.896617e-03, \trun time: 5.546875e+00\n",
      "44700:\tlasso value: 3.011877e+01, \tres: 8.883762e-03, \trun time: 5.546875e+00\n",
      "44800:\tlasso value: 3.011823e+01, \tres: 8.869822e-03, \trun time: 5.546875e+00\n",
      "44900:\tlasso value: 3.011770e+01, \tres: 8.856483e-03, \trun time: 5.546875e+00\n",
      "45000:\tlasso value: 3.011716e+01, \tres: 8.844297e-03, \trun time: 5.562500e+00\n",
      "45100:\tlasso value: 3.011662e+01, \tres: 8.833215e-03, \trun time: 5.562500e+00\n",
      "45200:\tlasso value: 3.011608e+01, \tres: 8.823249e-03, \trun time: 5.578125e+00\n",
      "45300:\tlasso value: 3.011555e+01, \tres: 8.814415e-03, \trun time: 5.593750e+00\n",
      "45400:\tlasso value: 3.011501e+01, \tres: 8.806728e-03, \trun time: 5.593750e+00\n",
      "45500:\tlasso value: 3.011447e+01, \tres: 8.800196e-03, \trun time: 5.609375e+00\n",
      "45600:\tlasso value: 3.011393e+01, \tres: 8.794827e-03, \trun time: 5.625000e+00\n",
      "45700:\tlasso value: 3.011341e+01, \tres: 8.670694e-03, \trun time: 5.625000e+00\n",
      "45800:\tlasso value: 3.011291e+01, \tres: 8.518890e-03, \trun time: 5.625000e+00\n",
      "45900:\tlasso value: 3.011243e+01, \tres: 8.474131e-03, \trun time: 5.625000e+00\n",
      "46000:\tlasso value: 3.011194e+01, \tres: 8.453223e-03, \trun time: 5.640625e+00\n",
      "46100:\tlasso value: 3.011146e+01, \tres: 8.441876e-03, \trun time: 5.640625e+00\n",
      "46200:\tlasso value: 3.011098e+01, \tres: 8.435075e-03, \trun time: 5.640625e+00\n",
      "46300:\tlasso value: 3.011049e+01, \tres: 8.430663e-03, \trun time: 5.671875e+00\n",
      "46400:\tlasso value: 3.011001e+01, \tres: 8.427604e-03, \trun time: 5.671875e+00\n",
      "46500:\tlasso value: 3.010953e+01, \tres: 8.425367e-03, \trun time: 5.687500e+00\n",
      "46600:\tlasso value: 3.010905e+01, \tres: 8.423670e-03, \trun time: 5.687500e+00\n",
      "46700:\tlasso value: 3.010858e+01, \tres: 8.354349e-03, \trun time: 5.703125e+00\n",
      "46800:\tlasso value: 3.010811e+01, \tres: 8.330263e-03, \trun time: 5.703125e+00\n",
      "46900:\tlasso value: 3.010764e+01, \tres: 8.319363e-03, \trun time: 5.703125e+00\n",
      "47000:\tlasso value: 3.010717e+01, \tres: 8.313313e-03, \trun time: 5.703125e+00\n",
      "47100:\tlasso value: 3.010671e+01, \tres: 8.309519e-03, \trun time: 5.703125e+00\n",
      "47200:\tlasso value: 3.010624e+01, \tres: 8.306884e-03, \trun time: 5.703125e+00\n",
      "47300:\tlasso value: 3.010578e+01, \tres: 8.304799e-03, \trun time: 5.718750e+00\n",
      "47400:\tlasso value: 3.010531e+01, \tres: 8.301735e-03, \trun time: 5.718750e+00\n",
      "47500:\tlasso value: 3.010485e+01, \tres: 8.293917e-03, \trun time: 5.734375e+00\n",
      "47600:\tlasso value: 3.010438e+01, \tres: 8.282343e-03, \trun time: 5.750000e+00\n",
      "47700:\tlasso value: 3.010392e+01, \tres: 8.271529e-03, \trun time: 5.750000e+00\n",
      "47800:\tlasso value: 3.010345e+01, \tres: 8.261431e-03, \trun time: 5.750000e+00\n",
      "47900:\tlasso value: 3.010299e+01, \tres: 8.252022e-03, \trun time: 5.750000e+00\n",
      "48000:\tlasso value: 3.010252e+01, \tres: 8.243288e-03, \trun time: 5.750000e+00\n",
      "48100:\tlasso value: 3.010206e+01, \tres: 8.235216e-03, \trun time: 5.750000e+00\n",
      "48200:\tlasso value: 3.010159e+01, \tres: 8.227802e-03, \trun time: 5.765625e+00\n",
      "48300:\tlasso value: 3.010113e+01, \tres: 8.221041e-03, \trun time: 5.781250e+00\n",
      "48400:\tlasso value: 3.010066e+01, \tres: 8.212437e-03, \trun time: 5.796875e+00\n",
      "48500:\tlasso value: 3.010020e+01, \tres: 8.200951e-03, \trun time: 5.796875e+00\n",
      "48600:\tlasso value: 3.009973e+01, \tres: 8.190481e-03, \trun time: 5.812500e+00\n",
      "48700:\tlasso value: 3.009927e+01, \tres: 8.181031e-03, \trun time: 5.812500e+00\n",
      "48800:\tlasso value: 3.009880e+01, \tres: 8.172602e-03, \trun time: 5.828125e+00\n",
      "48900:\tlasso value: 3.009834e+01, \tres: 8.165198e-03, \trun time: 5.843750e+00\n",
      "49000:\tlasso value: 3.009787e+01, \tres: 8.152471e-03, \trun time: 5.843750e+00\n",
      "49100:\tlasso value: 3.009741e+01, \tres: 8.103174e-03, \trun time: 5.843750e+00\n",
      "49200:\tlasso value: 3.009697e+01, \tres: 7.930469e-03, \trun time: 5.843750e+00\n",
      "49300:\tlasso value: 3.009654e+01, \tres: 7.847037e-03, \trun time: 5.859375e+00\n",
      "49400:\tlasso value: 3.009612e+01, \tres: 7.793646e-03, \trun time: 5.875000e+00\n",
      "49500:\tlasso value: 3.009570e+01, \tres: 7.757050e-03, \trun time: 5.890625e+00\n",
      "49600:\tlasso value: 3.009529e+01, \tres: 7.734165e-03, \trun time: 5.890625e+00\n",
      "49700:\tlasso value: 3.009488e+01, \tres: 7.722254e-03, \trun time: 5.890625e+00\n",
      "49800:\tlasso value: 3.009447e+01, \tres: 7.715191e-03, \trun time: 5.890625e+00\n",
      "49900:\tlasso value: 3.009406e+01, \tres: 7.710859e-03, \trun time: 5.890625e+00\n",
      "50000:\tlasso value: 3.009365e+01, \tres: 7.708150e-03, \trun time: 5.906250e+00\n",
      "50100:\tlasso value: 3.009325e+01, \tres: 7.645302e-03, \trun time: 5.906250e+00\n",
      "50200:\tlasso value: 3.009285e+01, \tres: 7.550847e-03, \trun time: 5.906250e+00\n",
      "50300:\tlasso value: 3.009246e+01, \tres: 7.501810e-03, \trun time: 5.906250e+00\n",
      "50400:\tlasso value: 3.009207e+01, \tres: 7.464629e-03, \trun time: 5.906250e+00\n",
      "50500:\tlasso value: 3.009168e+01, \tres: 7.433706e-03, \trun time: 5.921875e+00\n",
      "50600:\tlasso value: 3.009129e+01, \tres: 7.406998e-03, \trun time: 5.921875e+00\n",
      "50700:\tlasso value: 3.009091e+01, \tres: 7.383530e-03, \trun time: 5.921875e+00\n",
      "50800:\tlasso value: 3.009052e+01, \tres: 7.362767e-03, \trun time: 5.921875e+00\n",
      "50900:\tlasso value: 3.009013e+01, \tres: 7.344401e-03, \trun time: 5.921875e+00\n",
      "51000:\tlasso value: 3.008974e+01, \tres: 7.328241e-03, \trun time: 5.937500e+00\n",
      "51100:\tlasso value: 3.008936e+01, \tres: 7.314173e-03, \trun time: 5.937500e+00\n",
      "51200:\tlasso value: 3.008897e+01, \tres: 7.302113e-03, \trun time: 5.953125e+00\n",
      "51300:\tlasso value: 3.008858e+01, \tres: 7.291328e-03, \trun time: 5.968750e+00\n",
      "51400:\tlasso value: 3.008819e+01, \tres: 7.282531e-03, \trun time: 5.968750e+00\n",
      "51500:\tlasso value: 3.008781e+01, \tres: 7.275702e-03, \trun time: 5.984375e+00\n",
      "51600:\tlasso value: 3.008742e+01, \tres: 7.270829e-03, \trun time: 6.000000e+00\n",
      "51700:\tlasso value: 3.008703e+01, \tres: 7.267903e-03, \trun time: 6.015625e+00\n",
      "51800:\tlasso value: 3.008669e+01, \tres: 6.763751e-03, \trun time: 6.015625e+00\n",
      "51900:\tlasso value: 3.008638e+01, \tres: 6.638095e-03, \trun time: 6.015625e+00\n",
      "52000:\tlasso value: 3.008608e+01, \tres: 6.599437e-03, \trun time: 6.031250e+00\n",
      "52100:\tlasso value: 3.008579e+01, \tres: 6.583768e-03, \trun time: 6.046875e+00\n",
      "52200:\tlasso value: 3.008549e+01, \tres: 6.576291e-03, \trun time: 6.078125e+00\n",
      "52300:\tlasso value: 3.008519e+01, \tres: 6.572270e-03, \trun time: 6.078125e+00\n",
      "52400:\tlasso value: 3.008490e+01, \tres: 6.569856e-03, \trun time: 6.078125e+00\n",
      "52500:\tlasso value: 3.008460e+01, \tres: 6.568240e-03, \trun time: 6.093750e+00\n",
      "52600:\tlasso value: 3.008431e+01, \tres: 6.567039e-03, \trun time: 6.109375e+00\n",
      "52700:\tlasso value: 3.008401e+01, \tres: 6.566066e-03, \trun time: 6.125000e+00\n",
      "52800:\tlasso value: 3.008372e+01, \tres: 6.565227e-03, \trun time: 6.140625e+00\n",
      "52900:\tlasso value: 3.008342e+01, \tres: 6.564472e-03, \trun time: 6.156250e+00\n",
      "53000:\tlasso value: 3.008313e+01, \tres: 6.555280e-03, \trun time: 6.156250e+00\n",
      "53100:\tlasso value: 3.008283e+01, \tres: 6.544452e-03, \trun time: 6.187500e+00\n",
      "53200:\tlasso value: 3.008254e+01, \tres: 6.538378e-03, \trun time: 6.187500e+00\n",
      "53300:\tlasso value: 3.008225e+01, \tres: 6.534204e-03, \trun time: 6.187500e+00\n",
      "53400:\tlasso value: 3.008196e+01, \tres: 6.531154e-03, \trun time: 6.187500e+00\n",
      "53500:\tlasso value: 3.008166e+01, \tres: 6.528836e-03, \trun time: 6.203125e+00\n",
      "53600:\tlasso value: 3.008137e+01, \tres: 6.527012e-03, \trun time: 6.234375e+00\n",
      "53700:\tlasso value: 3.008108e+01, \tres: 6.525531e-03, \trun time: 6.250000e+00\n",
      "53800:\tlasso value: 3.008079e+01, \tres: 6.524287e-03, \trun time: 6.265625e+00\n",
      "53900:\tlasso value: 3.008050e+01, \tres: 6.523210e-03, \trun time: 6.265625e+00\n",
      "54000:\tlasso value: 3.008020e+01, \tres: 6.522251e-03, \trun time: 6.265625e+00\n",
      "54100:\tlasso value: 3.007991e+01, \tres: 6.507833e-03, \trun time: 6.265625e+00\n",
      "54200:\tlasso value: 3.007962e+01, \tres: 6.493515e-03, \trun time: 6.265625e+00\n",
      "54300:\tlasso value: 3.007933e+01, \tres: 6.479149e-03, \trun time: 6.281250e+00\n",
      "54400:\tlasso value: 3.007904e+01, \tres: 6.465108e-03, \trun time: 6.296875e+00\n",
      "54500:\tlasso value: 3.007875e+01, \tres: 6.452047e-03, \trun time: 6.296875e+00\n",
      "54600:\tlasso value: 3.007845e+01, \tres: 6.439964e-03, \trun time: 6.312500e+00\n",
      "54700:\tlasso value: 3.007816e+01, \tres: 6.428859e-03, \trun time: 6.312500e+00\n",
      "54800:\tlasso value: 3.007787e+01, \tres: 6.418733e-03, \trun time: 6.312500e+00\n",
      "54900:\tlasso value: 3.007758e+01, \tres: 6.409586e-03, \trun time: 6.343750e+00\n",
      "55000:\tlasso value: 3.007729e+01, \tres: 6.401419e-03, \trun time: 6.375000e+00\n",
      "55100:\tlasso value: 3.007700e+01, \tres: 6.394235e-03, \trun time: 6.390625e+00\n",
      "55200:\tlasso value: 3.007670e+01, \tres: 6.388034e-03, \trun time: 6.406250e+00\n",
      "55300:\tlasso value: 3.007641e+01, \tres: 6.382817e-03, \trun time: 6.421875e+00\n",
      "55400:\tlasso value: 3.007612e+01, \tres: 6.378586e-03, \trun time: 6.421875e+00\n",
      "55500:\tlasso value: 3.007583e+01, \tres: 6.375341e-03, \trun time: 6.421875e+00\n",
      "55600:\tlasso value: 3.007554e+01, \tres: 6.373081e-03, \trun time: 6.437500e+00\n",
      "55700:\tlasso value: 3.007525e+01, \tres: 6.215698e-03, \trun time: 6.437500e+00\n",
      "55800:\tlasso value: 3.007500e+01, \tres: 5.951000e-03, \trun time: 6.437500e+00\n",
      "55900:\tlasso value: 3.007476e+01, \tres: 5.851020e-03, \trun time: 6.453125e+00\n",
      "56000:\tlasso value: 3.007452e+01, \tres: 5.791229e-03, \trun time: 6.468750e+00\n",
      "56100:\tlasso value: 3.007429e+01, \tres: 5.750967e-03, \trun time: 6.468750e+00\n",
      "56200:\tlasso value: 3.007407e+01, \tres: 5.722277e-03, \trun time: 6.468750e+00\n",
      "56300:\tlasso value: 3.007384e+01, \tres: 5.701164e-03, \trun time: 6.468750e+00\n",
      "56400:\tlasso value: 3.007362e+01, \tres: 5.682746e-03, \trun time: 6.484375e+00\n",
      "56500:\tlasso value: 3.007340e+01, \tres: 5.669563e-03, \trun time: 6.484375e+00\n",
      "56600:\tlasso value: 3.007318e+01, \tres: 5.660029e-03, \trun time: 6.484375e+00\n",
      "56700:\tlasso value: 3.007296e+01, \tres: 5.652869e-03, \trun time: 6.484375e+00\n",
      "56800:\tlasso value: 3.007274e+01, \tres: 5.647399e-03, \trun time: 6.484375e+00\n",
      "56900:\tlasso value: 3.007252e+01, \tres: 5.643165e-03, \trun time: 6.500000e+00\n",
      "57000:\tlasso value: 3.007230e+01, \tres: 5.639845e-03, \trun time: 6.515625e+00\n",
      "57100:\tlasso value: 3.007208e+01, \tres: 5.637210e-03, \trun time: 6.515625e+00\n",
      "57200:\tlasso value: 3.007186e+01, \tres: 5.635088e-03, \trun time: 6.515625e+00\n",
      "57300:\tlasso value: 3.007164e+01, \tres: 5.633356e-03, \trun time: 6.515625e+00\n",
      "57400:\tlasso value: 3.007142e+01, \tres: 5.631919e-03, \trun time: 6.531250e+00\n",
      "57500:\tlasso value: 3.007120e+01, \tres: 5.630706e-03, \trun time: 6.531250e+00\n",
      "57600:\tlasso value: 3.007098e+01, \tres: 5.629665e-03, \trun time: 6.531250e+00\n",
      "57700:\tlasso value: 3.007076e+01, \tres: 5.628755e-03, \trun time: 6.546875e+00\n",
      "57800:\tlasso value: 3.007055e+01, \tres: 5.627946e-03, \trun time: 6.546875e+00\n",
      "57900:\tlasso value: 3.007033e+01, \tres: 5.627214e-03, \trun time: 6.546875e+00\n",
      "58000:\tlasso value: 3.007011e+01, \tres: 5.626542e-03, \trun time: 6.546875e+00\n",
      "58100:\tlasso value: 3.006989e+01, \tres: 5.625915e-03, \trun time: 6.546875e+00\n",
      "58200:\tlasso value: 3.006967e+01, \tres: 5.625326e-03, \trun time: 6.546875e+00\n",
      "58300:\tlasso value: 3.006945e+01, \tres: 5.624765e-03, \trun time: 6.546875e+00\n",
      "58400:\tlasso value: 3.006923e+01, \tres: 5.624225e-03, \trun time: 6.546875e+00\n",
      "58500:\tlasso value: 3.006901e+01, \tres: 5.623701e-03, \trun time: 6.546875e+00\n",
      "58600:\tlasso value: 3.006880e+01, \tres: 5.623189e-03, \trun time: 6.546875e+00\n",
      "58700:\tlasso value: 3.006858e+01, \tres: 5.622686e-03, \trun time: 6.546875e+00\n",
      "58800:\tlasso value: 3.006836e+01, \tres: 5.622189e-03, \trun time: 6.546875e+00\n",
      "58900:\tlasso value: 3.006814e+01, \tres: 5.621698e-03, \trun time: 6.546875e+00\n",
      "59000:\tlasso value: 3.006792e+01, \tres: 5.621210e-03, \trun time: 6.546875e+00\n",
      "59100:\tlasso value: 3.006770e+01, \tres: 5.620724e-03, \trun time: 6.546875e+00\n",
      "59200:\tlasso value: 3.006748e+01, \tres: 5.620241e-03, \trun time: 6.546875e+00\n",
      "59300:\tlasso value: 3.006727e+01, \tres: 5.619759e-03, \trun time: 6.546875e+00\n",
      "59400:\tlasso value: 3.006705e+01, \tres: 5.619278e-03, \trun time: 6.546875e+00\n",
      "59500:\tlasso value: 3.006683e+01, \tres: 5.618797e-03, \trun time: 6.546875e+00\n",
      "59600:\tlasso value: 3.006661e+01, \tres: 5.618317e-03, \trun time: 6.562500e+00\n",
      "59700:\tlasso value: 3.006639e+01, \tres: 5.617837e-03, \trun time: 6.562500e+00\n",
      "59800:\tlasso value: 3.006617e+01, \tres: 5.617357e-03, \trun time: 6.593750e+00\n",
      "59900:\tlasso value: 3.006595e+01, \tres: 5.616876e-03, \trun time: 6.609375e+00\n",
      "60000:\tlasso value: 3.006573e+01, \tres: 5.616395e-03, \trun time: 6.640625e+00\n",
      "60100:\tlasso value: 3.006552e+01, \tres: 5.615914e-03, \trun time: 6.656250e+00\n",
      "60200:\tlasso value: 3.006530e+01, \tres: 5.615433e-03, \trun time: 6.671875e+00\n",
      "60300:\tlasso value: 3.006508e+01, \tres: 5.614951e-03, \trun time: 6.671875e+00\n",
      "60400:\tlasso value: 3.006486e+01, \tres: 5.614469e-03, \trun time: 6.671875e+00\n",
      "60500:\tlasso value: 3.006464e+01, \tres: 5.613986e-03, \trun time: 6.687500e+00\n",
      "60600:\tlasso value: 3.006442e+01, \tres: 5.613503e-03, \trun time: 6.718750e+00\n",
      "60700:\tlasso value: 3.006420e+01, \tres: 5.613019e-03, \trun time: 6.734375e+00\n",
      "60800:\tlasso value: 3.006399e+01, \tres: 5.612535e-03, \trun time: 6.734375e+00\n",
      "60900:\tlasso value: 3.006377e+01, \tres: 5.612050e-03, \trun time: 6.750000e+00\n",
      "61000:\tlasso value: 3.006355e+01, \tres: 5.611565e-03, \trun time: 6.765625e+00\n",
      "61100:\tlasso value: 3.006333e+01, \tres: 5.611079e-03, \trun time: 6.781250e+00\n",
      "61200:\tlasso value: 3.006311e+01, \tres: 5.610592e-03, \trun time: 6.796875e+00\n",
      "61300:\tlasso value: 3.006289e+01, \tres: 5.610105e-03, \trun time: 6.812500e+00\n",
      "61400:\tlasso value: 3.006267e+01, \tres: 5.609618e-03, \trun time: 6.828125e+00\n",
      "61500:\tlasso value: 3.006245e+01, \tres: 5.608953e-03, \trun time: 6.843750e+00\n",
      "61600:\tlasso value: 3.006224e+01, \tres: 5.606714e-03, \trun time: 6.843750e+00\n",
      "61700:\tlasso value: 3.006202e+01, \tres: 5.604582e-03, \trun time: 6.859375e+00\n",
      "61800:\tlasso value: 3.006180e+01, \tres: 5.602557e-03, \trun time: 6.906250e+00\n",
      "61900:\tlasso value: 3.006158e+01, \tres: 5.600429e-03, \trun time: 6.921875e+00\n",
      "62000:\tlasso value: 3.006136e+01, \tres: 5.597849e-03, \trun time: 6.937500e+00\n",
      "62100:\tlasso value: 3.006114e+01, \tres: 5.595423e-03, \trun time: 6.968750e+00\n",
      "62200:\tlasso value: 3.006092e+01, \tres: 5.593152e-03, \trun time: 6.968750e+00\n",
      "62300:\tlasso value: 3.006071e+01, \tres: 5.591035e-03, \trun time: 6.984375e+00\n",
      "62400:\tlasso value: 3.006049e+01, \tres: 5.589073e-03, \trun time: 6.984375e+00\n",
      "62500:\tlasso value: 3.006027e+01, \tres: 5.587266e-03, \trun time: 6.984375e+00\n",
      "62600:\tlasso value: 3.006005e+01, \tres: 5.585613e-03, \trun time: 6.984375e+00\n",
      "62700:\tlasso value: 3.005983e+01, \tres: 5.584116e-03, \trun time: 7.000000e+00\n",
      "62800:\tlasso value: 3.005961e+01, \tres: 5.582774e-03, \trun time: 7.015625e+00\n",
      "62900:\tlasso value: 3.005939e+01, \tres: 5.581586e-03, \trun time: 7.015625e+00\n",
      "63000:\tlasso value: 3.005917e+01, \tres: 5.580553e-03, \trun time: 7.046875e+00\n",
      "63100:\tlasso value: 3.005896e+01, \tres: 5.579676e-03, \trun time: 7.046875e+00\n",
      "63200:\tlasso value: 3.005874e+01, \tres: 5.557660e-03, \trun time: 7.062500e+00\n",
      "63300:\tlasso value: 3.005852e+01, \tres: 5.533741e-03, \trun time: 7.062500e+00\n",
      "63400:\tlasso value: 3.005831e+01, \tres: 5.526704e-03, \trun time: 7.078125e+00\n",
      "63500:\tlasso value: 3.005810e+01, \tres: 5.523181e-03, \trun time: 7.093750e+00\n",
      "63600:\tlasso value: 3.005788e+01, \tres: 5.499817e-03, \trun time: 7.093750e+00\n",
      "63700:\tlasso value: 3.005767e+01, \tres: 5.492461e-03, \trun time: 7.125000e+00\n",
      "63800:\tlasso value: 3.005746e+01, \tres: 5.484801e-03, \trun time: 7.156250e+00\n",
      "63900:\tlasso value: 3.005725e+01, \tres: 5.478583e-03, \trun time: 7.156250e+00\n",
      "64000:\tlasso value: 3.005704e+01, \tres: 5.473292e-03, \trun time: 7.171875e+00\n",
      "64100:\tlasso value: 3.005683e+01, \tres: 5.468676e-03, \trun time: 7.203125e+00\n",
      "64200:\tlasso value: 3.005662e+01, \tres: 5.464592e-03, \trun time: 7.234375e+00\n",
      "64300:\tlasso value: 3.005641e+01, \tres: 5.460951e-03, \trun time: 7.265625e+00\n",
      "64400:\tlasso value: 3.005620e+01, \tres: 5.457695e-03, \trun time: 7.281250e+00\n",
      "64500:\tlasso value: 3.005599e+01, \tres: 5.454784e-03, \trun time: 7.296875e+00\n",
      "64600:\tlasso value: 3.005578e+01, \tres: 5.452189e-03, \trun time: 7.328125e+00\n",
      "64700:\tlasso value: 3.005557e+01, \tres: 5.449892e-03, \trun time: 7.359375e+00\n",
      "64800:\tlasso value: 3.005536e+01, \tres: 5.447877e-03, \trun time: 7.390625e+00\n",
      "64900:\tlasso value: 3.005515e+01, \tres: 5.446135e-03, \trun time: 7.390625e+00\n",
      "65000:\tlasso value: 3.005495e+01, \tres: 5.444656e-03, \trun time: 7.406250e+00\n",
      "65100:\tlasso value: 3.005474e+01, \tres: 5.443435e-03, \trun time: 7.421875e+00\n",
      "65200:\tlasso value: 3.005453e+01, \tres: 5.442468e-03, \trun time: 7.421875e+00\n",
      "65300:\tlasso value: 3.005432e+01, \tres: 5.419325e-03, \trun time: 7.437500e+00\n",
      "65400:\tlasso value: 3.005411e+01, \tres: 5.352882e-03, \trun time: 7.437500e+00\n",
      "65500:\tlasso value: 3.005391e+01, \tres: 5.332391e-03, \trun time: 7.437500e+00\n",
      "65600:\tlasso value: 3.005372e+01, \tres: 5.310872e-03, \trun time: 7.437500e+00\n",
      "65700:\tlasso value: 3.005352e+01, \tres: 5.277981e-03, \trun time: 7.437500e+00\n",
      "65800:\tlasso value: 3.005332e+01, \tres: 5.249098e-03, \trun time: 7.468750e+00\n",
      "65900:\tlasso value: 3.005312e+01, \tres: 5.222158e-03, \trun time: 7.500000e+00\n",
      "66000:\tlasso value: 3.005293e+01, \tres: 5.190516e-03, \trun time: 7.500000e+00\n",
      "66100:\tlasso value: 3.005273e+01, \tres: 5.161399e-03, \trun time: 7.531250e+00\n",
      "66200:\tlasso value: 3.005253e+01, \tres: 5.134485e-03, \trun time: 7.546875e+00\n",
      "66300:\tlasso value: 3.005234e+01, \tres: 5.109821e-03, \trun time: 7.562500e+00\n",
      "66400:\tlasso value: 3.005214e+01, \tres: 5.087424e-03, \trun time: 7.578125e+00\n",
      "66500:\tlasso value: 3.005194e+01, \tres: 5.067277e-03, \trun time: 7.578125e+00\n",
      "66600:\tlasso value: 3.005175e+01, \tres: 5.049363e-03, \trun time: 7.593750e+00\n",
      "66700:\tlasso value: 3.005155e+01, \tres: 5.033671e-03, \trun time: 7.593750e+00\n",
      "66800:\tlasso value: 3.005135e+01, \tres: 5.020229e-03, \trun time: 7.609375e+00\n",
      "66900:\tlasso value: 3.005116e+01, \tres: 5.009081e-03, \trun time: 7.625000e+00\n",
      "67000:\tlasso value: 3.005096e+01, \tres: 5.000094e-03, \trun time: 7.656250e+00\n",
      "67100:\tlasso value: 3.005077e+01, \tres: 4.993289e-03, \trun time: 7.687500e+00\n",
      "67200:\tlasso value: 3.005057e+01, \tres: 4.929244e-03, \trun time: 7.703125e+00\n",
      "67300:\tlasso value: 3.005039e+01, \tres: 4.861934e-03, \trun time: 7.734375e+00\n",
      "67400:\tlasso value: 3.005023e+01, \tres: 4.441816e-03, \trun time: 7.765625e+00\n",
      "67500:\tlasso value: 3.005009e+01, \tres: 4.306915e-03, \trun time: 7.765625e+00\n",
      "67600:\tlasso value: 3.004997e+01, \tres: 4.220492e-03, \trun time: 7.781250e+00\n",
      "67700:\tlasso value: 3.004984e+01, \tres: 4.151767e-03, \trun time: 7.796875e+00\n",
      "67800:\tlasso value: 3.004972e+01, \tres: 4.082579e-03, \trun time: 7.812500e+00\n",
      "67900:\tlasso value: 3.004961e+01, \tres: 4.051264e-03, \trun time: 7.828125e+00\n",
      "68000:\tlasso value: 3.004949e+01, \tres: 4.031822e-03, \trun time: 7.843750e+00\n",
      "68100:\tlasso value: 3.004938e+01, \tres: 4.018580e-03, \trun time: 7.875000e+00\n",
      "68200:\tlasso value: 3.004926e+01, \tres: 4.009055e-03, \trun time: 7.890625e+00\n",
      "68300:\tlasso value: 3.004915e+01, \tres: 4.001922e-03, \trun time: 7.906250e+00\n",
      "68400:\tlasso value: 3.004904e+01, \tres: 3.996405e-03, \trun time: 7.906250e+00\n",
      "68500:\tlasso value: 3.004893e+01, \tres: 3.992020e-03, \trun time: 7.921875e+00\n",
      "68600:\tlasso value: 3.004881e+01, \tres: 3.988481e-03, \trun time: 7.937500e+00\n",
      "68700:\tlasso value: 3.004870e+01, \tres: 3.985573e-03, \trun time: 7.953125e+00\n",
      "68800:\tlasso value: 3.004859e+01, \tres: 3.983138e-03, \trun time: 7.984375e+00\n",
      "68900:\tlasso value: 3.004848e+01, \tres: 3.981070e-03, \trun time: 7.984375e+00\n",
      "69000:\tlasso value: 3.004837e+01, \tres: 3.979294e-03, \trun time: 7.984375e+00\n",
      "69100:\tlasso value: 3.004826e+01, \tres: 3.977755e-03, \trun time: 8.000000e+00\n",
      "69200:\tlasso value: 3.004815e+01, \tres: 3.976411e-03, \trun time: 8.015625e+00\n",
      "69300:\tlasso value: 3.004803e+01, \tres: 3.975231e-03, \trun time: 8.031250e+00\n",
      "69400:\tlasso value: 3.004792e+01, \tres: 3.974196e-03, \trun time: 8.062500e+00\n",
      "69500:\tlasso value: 3.004781e+01, \tres: 3.973285e-03, \trun time: 8.078125e+00\n",
      "69600:\tlasso value: 3.004770e+01, \tres: 3.972474e-03, \trun time: 8.093750e+00\n",
      "69700:\tlasso value: 3.004759e+01, \tres: 3.971747e-03, \trun time: 8.109375e+00\n",
      "69800:\tlasso value: 3.004748e+01, \tres: 3.968299e-03, \trun time: 8.140625e+00\n",
      "69900:\tlasso value: 3.004737e+01, \tres: 3.964834e-03, \trun time: 8.171875e+00\n",
      "70000:\tlasso value: 3.004726e+01, \tres: 3.961605e-03, \trun time: 8.187500e+00\n",
      "70100:\tlasso value: 3.004715e+01, \tres: 3.958606e-03, \trun time: 8.203125e+00\n",
      "70200:\tlasso value: 3.004704e+01, \tres: 3.950845e-03, \trun time: 8.234375e+00\n",
      "70300:\tlasso value: 3.004692e+01, \tres: 3.942863e-03, \trun time: 8.234375e+00\n",
      "70400:\tlasso value: 3.004681e+01, \tres: 3.935431e-03, \trun time: 8.234375e+00\n",
      "70500:\tlasso value: 3.004670e+01, \tres: 3.928547e-03, \trun time: 8.234375e+00\n",
      "70600:\tlasso value: 3.004659e+01, \tres: 3.922212e-03, \trun time: 8.250000e+00\n",
      "70700:\tlasso value: 3.004648e+01, \tres: 3.916426e-03, \trun time: 8.265625e+00\n",
      "70800:\tlasso value: 3.004637e+01, \tres: 3.911189e-03, \trun time: 8.281250e+00\n",
      "70900:\tlasso value: 3.004626e+01, \tres: 3.906500e-03, \trun time: 8.281250e+00\n",
      "71000:\tlasso value: 3.004615e+01, \tres: 3.902361e-03, \trun time: 8.281250e+00\n",
      "71100:\tlasso value: 3.004604e+01, \tres: 3.898772e-03, \trun time: 8.281250e+00\n",
      "71200:\tlasso value: 3.004593e+01, \tres: 3.895732e-03, \trun time: 8.281250e+00\n",
      "71300:\tlasso value: 3.004582e+01, \tres: 3.893242e-03, \trun time: 8.296875e+00\n",
      "71400:\tlasso value: 3.004570e+01, \tres: 3.863960e-03, \trun time: 8.312500e+00\n",
      "71500:\tlasso value: 3.004560e+01, \tres: 3.817124e-03, \trun time: 8.312500e+00\n",
      "71600:\tlasso value: 3.004549e+01, \tres: 3.803495e-03, \trun time: 8.328125e+00\n",
      "71700:\tlasso value: 3.004539e+01, \tres: 3.796627e-03, \trun time: 8.328125e+00\n",
      "71800:\tlasso value: 3.004528e+01, \tres: 3.779046e-03, \trun time: 8.343750e+00\n",
      "71900:\tlasso value: 3.004519e+01, \tres: 3.610652e-03, \trun time: 8.359375e+00\n",
      "72000:\tlasso value: 3.004510e+01, \tres: 3.535212e-03, \trun time: 8.359375e+00\n",
      "72100:\tlasso value: 3.004501e+01, \tres: 3.486470e-03, \trun time: 8.375000e+00\n",
      "72200:\tlasso value: 3.004493e+01, \tres: 3.452860e-03, \trun time: 8.390625e+00\n",
      "72300:\tlasso value: 3.004484e+01, \tres: 3.428986e-03, \trun time: 8.390625e+00\n",
      "72400:\tlasso value: 3.004476e+01, \tres: 3.411698e-03, \trun time: 8.406250e+00\n",
      "72500:\tlasso value: 3.004468e+01, \tres: 3.398996e-03, \trun time: 8.406250e+00\n",
      "72600:\tlasso value: 3.004460e+01, \tres: 3.381003e-03, \trun time: 8.406250e+00\n",
      "72700:\tlasso value: 3.004452e+01, \tres: 3.352789e-03, \trun time: 8.421875e+00\n",
      "72800:\tlasso value: 3.004444e+01, \tres: 3.337627e-03, \trun time: 8.421875e+00\n",
      "72900:\tlasso value: 3.004436e+01, \tres: 3.327515e-03, \trun time: 8.421875e+00\n",
      "73000:\tlasso value: 3.004428e+01, \tres: 3.319950e-03, \trun time: 8.421875e+00\n",
      "73100:\tlasso value: 3.004420e+01, \tres: 3.313918e-03, \trun time: 8.421875e+00\n",
      "73200:\tlasso value: 3.004413e+01, \tres: 3.308907e-03, \trun time: 8.421875e+00\n",
      "73300:\tlasso value: 3.004405e+01, \tres: 3.304627e-03, \trun time: 8.421875e+00\n",
      "73400:\tlasso value: 3.004397e+01, \tres: 3.300902e-03, \trun time: 8.421875e+00\n",
      "73500:\tlasso value: 3.004389e+01, \tres: 3.297617e-03, \trun time: 8.453125e+00\n",
      "73600:\tlasso value: 3.004382e+01, \tres: 3.294693e-03, \trun time: 8.453125e+00\n",
      "73700:\tlasso value: 3.004374e+01, \tres: 3.291812e-03, \trun time: 8.453125e+00\n",
      "73800:\tlasso value: 3.004366e+01, \tres: 3.288407e-03, \trun time: 8.484375e+00\n",
      "73900:\tlasso value: 3.004359e+01, \tres: 3.285302e-03, \trun time: 8.484375e+00\n",
      "74000:\tlasso value: 3.004351e+01, \tres: 3.282469e-03, \trun time: 8.515625e+00\n",
      "74100:\tlasso value: 3.004344e+01, \tres: 3.279884e-03, \trun time: 8.531250e+00\n",
      "74200:\tlasso value: 3.004336e+01, \tres: 3.277529e-03, \trun time: 8.531250e+00\n",
      "74300:\tlasso value: 3.004328e+01, \tres: 3.275385e-03, \trun time: 8.531250e+00\n",
      "74400:\tlasso value: 3.004321e+01, \tres: 3.273436e-03, \trun time: 8.546875e+00\n",
      "74500:\tlasso value: 3.004313e+01, \tres: 3.271670e-03, \trun time: 8.546875e+00\n",
      "74600:\tlasso value: 3.004306e+01, \tres: 3.270074e-03, \trun time: 8.546875e+00\n",
      "74700:\tlasso value: 3.004298e+01, \tres: 3.268637e-03, \trun time: 8.546875e+00\n",
      "74800:\tlasso value: 3.004290e+01, \tres: 3.267348e-03, \trun time: 8.546875e+00\n",
      "74900:\tlasso value: 3.004283e+01, \tres: 3.266201e-03, \trun time: 8.546875e+00\n",
      "75000:\tlasso value: 3.004275e+01, \tres: 3.265185e-03, \trun time: 8.546875e+00\n",
      "75100:\tlasso value: 3.004268e+01, \tres: 3.264294e-03, \trun time: 8.546875e+00\n",
      "75200:\tlasso value: 3.004260e+01, \tres: 3.263522e-03, \trun time: 8.546875e+00\n",
      "75300:\tlasso value: 3.004252e+01, \tres: 3.262862e-03, \trun time: 8.546875e+00\n",
      "75400:\tlasso value: 3.004245e+01, \tres: 3.262310e-03, \trun time: 8.546875e+00\n",
      "75500:\tlasso value: 3.004237e+01, \tres: 3.236500e-03, \trun time: 8.546875e+00\n",
      "75600:\tlasso value: 3.004230e+01, \tres: 3.221833e-03, \trun time: 8.562500e+00\n",
      "75700:\tlasso value: 3.004223e+01, \tres: 3.212819e-03, \trun time: 8.562500e+00\n",
      "75800:\tlasso value: 3.004215e+01, \tres: 3.206802e-03, \trun time: 8.562500e+00\n",
      "75900:\tlasso value: 3.004208e+01, \tres: 3.202603e-03, \trun time: 8.578125e+00\n",
      "76000:\tlasso value: 3.004201e+01, \tres: 3.199582e-03, \trun time: 8.593750e+00\n",
      "76100:\tlasso value: 3.004194e+01, \tres: 3.197361e-03, \trun time: 8.609375e+00\n",
      "76200:\tlasso value: 3.004186e+01, \tres: 3.195697e-03, \trun time: 8.609375e+00\n",
      "76300:\tlasso value: 3.004179e+01, \tres: 3.194430e-03, \trun time: 8.609375e+00\n",
      "76400:\tlasso value: 3.004172e+01, \tres: 3.193453e-03, \trun time: 8.609375e+00\n",
      "76500:\tlasso value: 3.004165e+01, \tres: 3.192688e-03, \trun time: 8.625000e+00\n",
      "76600:\tlasso value: 3.004157e+01, \tres: 3.192079e-03, \trun time: 8.656250e+00\n",
      "76700:\tlasso value: 3.004150e+01, \tres: 3.191587e-03, \trun time: 8.656250e+00\n",
      "76800:\tlasso value: 3.004143e+01, \tres: 3.191183e-03, \trun time: 8.656250e+00\n",
      "76900:\tlasso value: 3.004136e+01, \tres: 3.190846e-03, \trun time: 8.656250e+00\n",
      "77000:\tlasso value: 3.004129e+01, \tres: 3.190558e-03, \trun time: 8.656250e+00\n",
      "77100:\tlasso value: 3.004121e+01, \tres: 3.190308e-03, \trun time: 8.656250e+00\n",
      "77200:\tlasso value: 3.004114e+01, \tres: 3.190087e-03, \trun time: 8.703125e+00\n",
      "77300:\tlasso value: 3.004107e+01, \tres: 3.189888e-03, \trun time: 8.718750e+00\n",
      "77400:\tlasso value: 3.004100e+01, \tres: 3.189705e-03, \trun time: 8.734375e+00\n",
      "77500:\tlasso value: 3.004093e+01, \tres: 3.189536e-03, \trun time: 8.734375e+00\n",
      "77600:\tlasso value: 3.004085e+01, \tres: 3.189376e-03, \trun time: 8.750000e+00\n",
      "77700:\tlasso value: 3.004078e+01, \tres: 3.189224e-03, \trun time: 8.750000e+00\n",
      "77800:\tlasso value: 3.004071e+01, \tres: 3.189078e-03, \trun time: 8.750000e+00\n",
      "77900:\tlasso value: 3.004064e+01, \tres: 3.188936e-03, \trun time: 8.765625e+00\n",
      "78000:\tlasso value: 3.004057e+01, \tres: 3.188798e-03, \trun time: 8.765625e+00\n",
      "78100:\tlasso value: 3.004049e+01, \tres: 3.188662e-03, \trun time: 8.765625e+00\n",
      "78200:\tlasso value: 3.004042e+01, \tres: 3.188529e-03, \trun time: 8.765625e+00\n",
      "78300:\tlasso value: 3.004035e+01, \tres: 3.188397e-03, \trun time: 8.781250e+00\n",
      "78400:\tlasso value: 3.004028e+01, \tres: 3.188266e-03, \trun time: 8.781250e+00\n",
      "78500:\tlasso value: 3.004020e+01, \tres: 3.188136e-03, \trun time: 8.781250e+00\n",
      "78600:\tlasso value: 3.004013e+01, \tres: 3.188007e-03, \trun time: 8.781250e+00\n",
      "78700:\tlasso value: 3.004006e+01, \tres: 3.187879e-03, \trun time: 8.781250e+00\n",
      "78800:\tlasso value: 3.003999e+01, \tres: 3.187750e-03, \trun time: 8.796875e+00\n",
      "78900:\tlasso value: 3.003992e+01, \tres: 3.187623e-03, \trun time: 8.796875e+00\n",
      "79000:\tlasso value: 3.003984e+01, \tres: 3.187495e-03, \trun time: 8.796875e+00\n",
      "79100:\tlasso value: 3.003977e+01, \tres: 3.187367e-03, \trun time: 8.796875e+00\n",
      "79200:\tlasso value: 3.003970e+01, \tres: 3.187240e-03, \trun time: 8.812500e+00\n",
      "79300:\tlasso value: 3.003963e+01, \tres: 3.187113e-03, \trun time: 8.812500e+00\n",
      "79400:\tlasso value: 3.003956e+01, \tres: 3.186986e-03, \trun time: 8.812500e+00\n",
      "79500:\tlasso value: 3.003948e+01, \tres: 3.186859e-03, \trun time: 8.859375e+00\n",
      "79600:\tlasso value: 3.003941e+01, \tres: 3.186731e-03, \trun time: 8.875000e+00\n",
      "79700:\tlasso value: 3.003934e+01, \tres: 3.186604e-03, \trun time: 8.890625e+00\n",
      "79800:\tlasso value: 3.003927e+01, \tres: 3.186477e-03, \trun time: 8.921875e+00\n",
      "79900:\tlasso value: 3.003920e+01, \tres: 3.186350e-03, \trun time: 8.937500e+00\n",
      "80000:\tlasso value: 3.003912e+01, \tres: 3.186223e-03, \trun time: 8.937500e+00\n",
      "80100:\tlasso value: 3.003905e+01, \tres: 3.186095e-03, \trun time: 8.953125e+00\n",
      "80200:\tlasso value: 3.003898e+01, \tres: 3.185968e-03, \trun time: 8.953125e+00\n",
      "80300:\tlasso value: 3.003891e+01, \tres: 3.185840e-03, \trun time: 8.953125e+00\n",
      "80400:\tlasso value: 3.003884e+01, \tres: 3.185713e-03, \trun time: 8.984375e+00\n",
      "80500:\tlasso value: 3.003876e+01, \tres: 3.185585e-03, \trun time: 9.015625e+00\n",
      "80600:\tlasso value: 3.003869e+01, \tres: 3.185457e-03, \trun time: 9.015625e+00\n",
      "80700:\tlasso value: 3.003862e+01, \tres: 3.185330e-03, \trun time: 9.031250e+00\n",
      "80800:\tlasso value: 3.003855e+01, \tres: 3.185202e-03, \trun time: 9.031250e+00\n",
      "80900:\tlasso value: 3.003847e+01, \tres: 3.185074e-03, \trun time: 9.031250e+00\n",
      "81000:\tlasso value: 3.003840e+01, \tres: 3.184946e-03, \trun time: 9.031250e+00\n",
      "81100:\tlasso value: 3.003833e+01, \tres: 3.184817e-03, \trun time: 9.031250e+00\n",
      "81200:\tlasso value: 3.003826e+01, \tres: 3.184689e-03, \trun time: 9.031250e+00\n",
      "81300:\tlasso value: 3.003819e+01, \tres: 3.184561e-03, \trun time: 9.031250e+00\n",
      "81400:\tlasso value: 3.003811e+01, \tres: 3.184432e-03, \trun time: 9.046875e+00\n",
      "81500:\tlasso value: 3.003804e+01, \tres: 3.184304e-03, \trun time: 9.046875e+00\n",
      "81600:\tlasso value: 3.003797e+01, \tres: 3.184175e-03, \trun time: 9.046875e+00\n",
      "81700:\tlasso value: 3.003790e+01, \tres: 3.184046e-03, \trun time: 9.046875e+00\n",
      "81800:\tlasso value: 3.003783e+01, \tres: 3.183918e-03, \trun time: 9.046875e+00\n",
      "81900:\tlasso value: 3.003775e+01, \tres: 3.183789e-03, \trun time: 9.046875e+00\n",
      "82000:\tlasso value: 3.003768e+01, \tres: 3.183660e-03, \trun time: 9.062500e+00\n",
      "82100:\tlasso value: 3.003761e+01, \tres: 3.183531e-03, \trun time: 9.078125e+00\n",
      "82200:\tlasso value: 3.003754e+01, \tres: 3.183401e-03, \trun time: 9.093750e+00\n",
      "82300:\tlasso value: 3.003747e+01, \tres: 3.181959e-03, \trun time: 9.093750e+00\n",
      "82400:\tlasso value: 3.003739e+01, \tres: 3.179089e-03, \trun time: 9.093750e+00\n",
      "82500:\tlasso value: 3.003732e+01, \tres: 3.176389e-03, \trun time: 9.093750e+00\n",
      "82600:\tlasso value: 3.003725e+01, \tres: 3.173860e-03, \trun time: 9.109375e+00\n",
      "82700:\tlasso value: 3.003718e+01, \tres: 3.171502e-03, \trun time: 9.109375e+00\n",
      "82800:\tlasso value: 3.003710e+01, \tres: 3.169315e-03, \trun time: 9.140625e+00\n",
      "82900:\tlasso value: 3.003703e+01, \tres: 3.167299e-03, \trun time: 9.156250e+00\n",
      "83000:\tlasso value: 3.003696e+01, \tres: 3.165455e-03, \trun time: 9.156250e+00\n",
      "83100:\tlasso value: 3.003689e+01, \tres: 3.163783e-03, \trun time: 9.171875e+00\n",
      "83200:\tlasso value: 3.003682e+01, \tres: 3.162274e-03, \trun time: 9.187500e+00\n",
      "83300:\tlasso value: 3.003674e+01, \tres: 3.155269e-03, \trun time: 9.187500e+00\n",
      "83400:\tlasso value: 3.003667e+01, \tres: 3.148770e-03, \trun time: 9.187500e+00\n",
      "83500:\tlasso value: 3.003660e+01, \tres: 3.142781e-03, \trun time: 9.187500e+00\n",
      "83600:\tlasso value: 3.003653e+01, \tres: 3.137305e-03, \trun time: 9.187500e+00\n",
      "83700:\tlasso value: 3.003646e+01, \tres: 3.132344e-03, \trun time: 9.187500e+00\n",
      "83800:\tlasso value: 3.003638e+01, \tres: 3.127901e-03, \trun time: 9.203125e+00\n",
      "83900:\tlasso value: 3.003631e+01, \tres: 3.123977e-03, \trun time: 9.234375e+00\n",
      "84000:\tlasso value: 3.003624e+01, \tres: 3.048645e-03, \trun time: 9.250000e+00\n",
      "84100:\tlasso value: 3.003618e+01, \tres: 2.995419e-03, \trun time: 9.250000e+00\n",
      "84200:\tlasso value: 3.003611e+01, \tres: 2.964336e-03, \trun time: 9.250000e+00\n",
      "84300:\tlasso value: 3.003605e+01, \tres: 2.943954e-03, \trun time: 9.265625e+00\n",
      "84400:\tlasso value: 3.003598e+01, \tres: 2.930029e-03, \trun time: 9.265625e+00\n",
      "84500:\tlasso value: 3.003592e+01, \tres: 2.920264e-03, \trun time: 9.281250e+00\n",
      "84600:\tlasso value: 3.003586e+01, \tres: 2.913307e-03, \trun time: 9.343750e+00\n",
      "84700:\tlasso value: 3.003579e+01, \tres: 2.908329e-03, \trun time: 9.343750e+00\n",
      "84800:\tlasso value: 3.003573e+01, \tres: 2.904808e-03, \trun time: 9.343750e+00\n",
      "84900:\tlasso value: 3.003567e+01, \tres: 2.889611e-03, \trun time: 9.343750e+00\n",
      "85000:\tlasso value: 3.003561e+01, \tres: 2.762124e-03, \trun time: 9.343750e+00\n",
      "85100:\tlasso value: 3.003556e+01, \tres: 2.720962e-03, \trun time: 9.359375e+00\n",
      "85200:\tlasso value: 3.003551e+01, \tres: 2.695207e-03, \trun time: 9.359375e+00\n",
      "85300:\tlasso value: 3.003546e+01, \tres: 2.677054e-03, \trun time: 9.375000e+00\n",
      "85400:\tlasso value: 3.003541e+01, \tres: 2.663546e-03, \trun time: 9.390625e+00\n",
      "85500:\tlasso value: 3.003536e+01, \tres: 2.653181e-03, \trun time: 9.390625e+00\n",
      "85600:\tlasso value: 3.003531e+01, \tres: 2.645064e-03, \trun time: 9.406250e+00\n",
      "85700:\tlasso value: 3.003526e+01, \tres: 2.638607e-03, \trun time: 9.421875e+00\n",
      "85800:\tlasso value: 3.003521e+01, \tres: 2.633404e-03, \trun time: 9.421875e+00\n",
      "85900:\tlasso value: 3.003516e+01, \tres: 2.629161e-03, \trun time: 9.437500e+00\n",
      "86000:\tlasso value: 3.003511e+01, \tres: 2.625664e-03, \trun time: 9.453125e+00\n",
      "86100:\tlasso value: 3.003506e+01, \tres: 2.622754e-03, \trun time: 9.453125e+00\n",
      "86200:\tlasso value: 3.003501e+01, \tres: 2.620308e-03, \trun time: 9.468750e+00\n",
      "86300:\tlasso value: 3.003496e+01, \tres: 2.618235e-03, \trun time: 9.484375e+00\n",
      "86400:\tlasso value: 3.003491e+01, \tres: 2.616462e-03, \trun time: 9.500000e+00\n",
      "86500:\tlasso value: 3.003486e+01, \tres: 2.615027e-03, \trun time: 9.515625e+00\n",
      "86600:\tlasso value: 3.003481e+01, \tres: 2.613790e-03, \trun time: 9.531250e+00\n",
      "86700:\tlasso value: 3.003476e+01, \tres: 2.612766e-03, \trun time: 9.531250e+00\n",
      "86800:\tlasso value: 3.003472e+01, \tres: 2.611891e-03, \trun time: 9.546875e+00\n",
      "86900:\tlasso value: 3.003467e+01, \tres: 2.611128e-03, \trun time: 9.578125e+00\n",
      "87000:\tlasso value: 3.003462e+01, \tres: 2.610455e-03, \trun time: 9.578125e+00\n",
      "87100:\tlasso value: 3.003457e+01, \tres: 2.609853e-03, \trun time: 9.593750e+00\n",
      "87200:\tlasso value: 3.003452e+01, \tres: 2.609312e-03, \trun time: 9.593750e+00\n",
      "87300:\tlasso value: 3.003447e+01, \tres: 2.608823e-03, \trun time: 9.625000e+00\n",
      "87400:\tlasso value: 3.003442e+01, \tres: 2.608379e-03, \trun time: 9.625000e+00\n",
      "87500:\tlasso value: 3.003438e+01, \tres: 2.607975e-03, \trun time: 9.625000e+00\n",
      "87600:\tlasso value: 3.003433e+01, \tres: 2.607609e-03, \trun time: 9.625000e+00\n",
      "87700:\tlasso value: 3.003428e+01, \tres: 2.607277e-03, \trun time: 9.625000e+00\n",
      "87800:\tlasso value: 3.003423e+01, \tres: 2.606976e-03, \trun time: 9.640625e+00\n",
      "87900:\tlasso value: 3.003418e+01, \tres: 2.606705e-03, \trun time: 9.640625e+00\n",
      "88000:\tlasso value: 3.003413e+01, \tres: 2.606462e-03, \trun time: 9.656250e+00\n",
      "88100:\tlasso value: 3.003408e+01, \tres: 2.606246e-03, \trun time: 9.671875e+00\n",
      "88200:\tlasso value: 3.003404e+01, \tres: 2.604843e-03, \trun time: 9.671875e+00\n",
      "88300:\tlasso value: 3.003399e+01, \tres: 2.600061e-03, \trun time: 9.687500e+00\n",
      "88400:\tlasso value: 3.003394e+01, \tres: 2.598863e-03, \trun time: 9.703125e+00\n",
      "88500:\tlasso value: 3.003389e+01, \tres: 2.598243e-03, \trun time: 9.734375e+00\n",
      "88600:\tlasso value: 3.003384e+01, \tres: 2.597819e-03, \trun time: 9.750000e+00\n",
      "88700:\tlasso value: 3.003379e+01, \tres: 2.597489e-03, \trun time: 9.781250e+00\n",
      "88800:\tlasso value: 3.003375e+01, \tres: 2.597213e-03, \trun time: 9.781250e+00\n",
      "88900:\tlasso value: 3.003370e+01, \tres: 2.596973e-03, \trun time: 9.781250e+00\n",
      "89000:\tlasso value: 3.003365e+01, \tres: 2.596668e-03, \trun time: 9.781250e+00\n",
      "89100:\tlasso value: 3.003360e+01, \tres: 2.595747e-03, \trun time: 9.796875e+00\n",
      "89200:\tlasso value: 3.003355e+01, \tres: 2.594882e-03, \trun time: 9.812500e+00\n",
      "89300:\tlasso value: 3.003350e+01, \tres: 2.594071e-03, \trun time: 9.828125e+00\n",
      "89400:\tlasso value: 3.003346e+01, \tres: 2.593312e-03, \trun time: 9.828125e+00\n",
      "89500:\tlasso value: 3.003341e+01, \tres: 2.592606e-03, \trun time: 9.859375e+00\n",
      "89600:\tlasso value: 3.003336e+01, \tres: 2.591951e-03, \trun time: 9.875000e+00\n",
      "89700:\tlasso value: 3.003331e+01, \tres: 2.591347e-03, \trun time: 9.890625e+00\n",
      "89800:\tlasso value: 3.003326e+01, \tres: 2.590755e-03, \trun time: 9.921875e+00\n",
      "89900:\tlasso value: 3.003322e+01, \tres: 2.590143e-03, \trun time: 9.937500e+00\n",
      "90000:\tlasso value: 3.003317e+01, \tres: 2.589586e-03, \trun time: 9.968750e+00\n",
      "90100:\tlasso value: 3.003312e+01, \tres: 2.589085e-03, \trun time: 9.968750e+00\n",
      "90200:\tlasso value: 3.003307e+01, \tres: 2.588638e-03, \trun time: 9.968750e+00\n",
      "90300:\tlasso value: 3.003302e+01, \tres: 2.588245e-03, \trun time: 9.968750e+00\n",
      "90400:\tlasso value: 3.003297e+01, \tres: 2.587907e-03, \trun time: 9.968750e+00\n",
      "90500:\tlasso value: 3.003293e+01, \tres: 2.587622e-03, \trun time: 9.968750e+00\n",
      "90600:\tlasso value: 3.003288e+01, \tres: 2.587391e-03, \trun time: 9.968750e+00\n",
      "90700:\tlasso value: 3.003283e+01, \tres: 2.587214e-03, \trun time: 9.968750e+00\n",
      "90800:\tlasso value: 3.003278e+01, \tres: 2.567162e-03, \trun time: 9.968750e+00\n",
      "90900:\tlasso value: 3.003274e+01, \tres: 2.559927e-03, \trun time: 9.984375e+00\n",
      "91000:\tlasso value: 3.003269e+01, \tres: 2.555235e-03, \trun time: 1.000000e+01\n",
      "91100:\tlasso value: 3.003264e+01, \tres: 2.551917e-03, \trun time: 1.000000e+01\n",
      "91200:\tlasso value: 3.003260e+01, \tres: 2.549466e-03, \trun time: 1.000000e+01\n",
      "91300:\tlasso value: 3.003255e+01, \tres: 2.537690e-03, \trun time: 1.001562e+01\n",
      "91400:\tlasso value: 3.003250e+01, \tres: 2.527374e-03, \trun time: 1.001562e+01\n",
      "91500:\tlasso value: 3.003246e+01, \tres: 2.518990e-03, \trun time: 1.001562e+01\n",
      "91600:\tlasso value: 3.003241e+01, \tres: 2.512142e-03, \trun time: 1.001562e+01\n",
      "91700:\tlasso value: 3.003237e+01, \tres: 2.506428e-03, \trun time: 1.003125e+01\n",
      "91800:\tlasso value: 3.003232e+01, \tres: 2.501597e-03, \trun time: 1.004688e+01\n",
      "91900:\tlasso value: 3.003228e+01, \tres: 2.497481e-03, \trun time: 1.007812e+01\n",
      "92000:\tlasso value: 3.003223e+01, \tres: 2.493960e-03, \trun time: 1.009375e+01\n",
      "92100:\tlasso value: 3.003218e+01, \tres: 2.490947e-03, \trun time: 1.009375e+01\n",
      "92200:\tlasso value: 3.003214e+01, \tres: 2.488376e-03, \trun time: 1.009375e+01\n",
      "92300:\tlasso value: 3.003209e+01, \tres: 2.486200e-03, \trun time: 1.009375e+01\n",
      "92400:\tlasso value: 3.003205e+01, \tres: 2.484383e-03, \trun time: 1.010938e+01\n",
      "92500:\tlasso value: 3.003200e+01, \tres: 2.482897e-03, \trun time: 1.012500e+01\n",
      "92600:\tlasso value: 3.003196e+01, \tres: 2.481720e-03, \trun time: 1.014062e+01\n",
      "92700:\tlasso value: 3.003191e+01, \tres: 2.480837e-03, \trun time: 1.015625e+01\n",
      "92800:\tlasso value: 3.003187e+01, \tres: 2.473381e-03, \trun time: 1.018750e+01\n",
      "92900:\tlasso value: 3.003183e+01, \tres: 2.419407e-03, \trun time: 1.020312e+01\n",
      "93000:\tlasso value: 3.003178e+01, \tres: 2.393597e-03, \trun time: 1.020312e+01\n",
      "93100:\tlasso value: 3.003174e+01, \tres: 2.376450e-03, \trun time: 1.021875e+01\n",
      "93200:\tlasso value: 3.003170e+01, \tres: 2.364486e-03, \trun time: 1.023438e+01\n",
      "93300:\tlasso value: 3.003166e+01, \tres: 2.355777e-03, \trun time: 1.025000e+01\n",
      "93400:\tlasso value: 3.003162e+01, \tres: 2.349240e-03, \trun time: 1.028125e+01\n",
      "93500:\tlasso value: 3.003158e+01, \tres: 2.344229e-03, \trun time: 1.028125e+01\n",
      "93600:\tlasso value: 3.003154e+01, \tres: 2.340332e-03, \trun time: 1.028125e+01\n",
      "93700:\tlasso value: 3.003151e+01, \tres: 2.337267e-03, \trun time: 1.028125e+01\n",
      "93800:\tlasso value: 3.003147e+01, \tres: 2.334837e-03, \trun time: 1.028125e+01\n",
      "93900:\tlasso value: 3.003143e+01, \tres: 2.332899e-03, \trun time: 1.028125e+01\n",
      "94000:\tlasso value: 3.003139e+01, \tres: 2.331344e-03, \trun time: 1.031250e+01\n",
      "94100:\tlasso value: 3.003135e+01, \tres: 2.330108e-03, \trun time: 1.031250e+01\n",
      "94200:\tlasso value: 3.003131e+01, \tres: 2.329197e-03, \trun time: 1.031250e+01\n",
      "94300:\tlasso value: 3.003127e+01, \tres: 2.328508e-03, \trun time: 1.031250e+01\n",
      "94400:\tlasso value: 3.003123e+01, \tres: 2.327978e-03, \trun time: 1.031250e+01\n",
      "94500:\tlasso value: 3.003119e+01, \tres: 2.327564e-03, \trun time: 1.034375e+01\n",
      "94600:\tlasso value: 3.003116e+01, \tres: 2.327236e-03, \trun time: 1.035938e+01\n",
      "94700:\tlasso value: 3.003112e+01, \tres: 2.326973e-03, \trun time: 1.040625e+01\n",
      "94800:\tlasso value: 3.003108e+01, \tres: 2.326758e-03, \trun time: 1.045312e+01\n",
      "94900:\tlasso value: 3.003104e+01, \tres: 2.326580e-03, \trun time: 1.046875e+01\n",
      "95000:\tlasso value: 3.003100e+01, \tres: 2.326430e-03, \trun time: 1.046875e+01\n",
      "95100:\tlasso value: 3.003096e+01, \tres: 2.326301e-03, \trun time: 1.048438e+01\n",
      "95200:\tlasso value: 3.003092e+01, \tres: 2.326188e-03, \trun time: 1.048438e+01\n",
      "95300:\tlasso value: 3.003088e+01, \tres: 2.326087e-03, \trun time: 1.050000e+01\n",
      "95400:\tlasso value: 3.003084e+01, \tres: 2.325995e-03, \trun time: 1.050000e+01\n",
      "95500:\tlasso value: 3.003081e+01, \tres: 2.325910e-03, \trun time: 1.051562e+01\n",
      "95600:\tlasso value: 3.003077e+01, \tres: 2.325831e-03, \trun time: 1.051562e+01\n",
      "95700:\tlasso value: 3.003073e+01, \tres: 2.325756e-03, \trun time: 1.051562e+01\n",
      "95800:\tlasso value: 3.003069e+01, \tres: 2.325684e-03, \trun time: 1.053125e+01\n",
      "95900:\tlasso value: 3.003065e+01, \tres: 2.325614e-03, \trun time: 1.054688e+01\n",
      "96000:\tlasso value: 3.003061e+01, \tres: 2.325547e-03, \trun time: 1.054688e+01\n",
      "96100:\tlasso value: 3.003057e+01, \tres: 2.325480e-03, \trun time: 1.056250e+01\n",
      "96200:\tlasso value: 3.003053e+01, \tres: 2.325415e-03, \trun time: 1.057812e+01\n",
      "96300:\tlasso value: 3.003050e+01, \tres: 2.325351e-03, \trun time: 1.057812e+01\n",
      "96400:\tlasso value: 3.003046e+01, \tres: 2.325287e-03, \trun time: 1.059375e+01\n",
      "96500:\tlasso value: 3.003042e+01, \tres: 2.325223e-03, \trun time: 1.060938e+01\n",
      "96600:\tlasso value: 3.003038e+01, \tres: 2.325160e-03, \trun time: 1.062500e+01\n",
      "96700:\tlasso value: 3.003034e+01, \tres: 2.325098e-03, \trun time: 1.064062e+01\n",
      "96800:\tlasso value: 3.003030e+01, \tres: 2.325035e-03, \trun time: 1.065625e+01\n",
      "96900:\tlasso value: 3.003026e+01, \tres: 2.324973e-03, \trun time: 1.067188e+01\n",
      "97000:\tlasso value: 3.003022e+01, \tres: 2.324910e-03, \trun time: 1.068750e+01\n",
      "97100:\tlasso value: 3.003018e+01, \tres: 2.324848e-03, \trun time: 1.070312e+01\n",
      "97200:\tlasso value: 3.003015e+01, \tres: 2.324786e-03, \trun time: 1.070312e+01\n",
      "97300:\tlasso value: 3.003011e+01, \tres: 2.323616e-03, \trun time: 1.070312e+01\n",
      "97400:\tlasso value: 3.003007e+01, \tres: 2.321633e-03, \trun time: 1.071875e+01\n",
      "97500:\tlasso value: 3.003003e+01, \tres: 2.319770e-03, \trun time: 1.073438e+01\n",
      "97600:\tlasso value: 3.002999e+01, \tres: 2.318027e-03, \trun time: 1.076562e+01\n",
      "97700:\tlasso value: 3.002995e+01, \tres: 2.316405e-03, \trun time: 1.078125e+01\n",
      "97800:\tlasso value: 3.002991e+01, \tres: 2.314903e-03, \trun time: 1.078125e+01\n",
      "97900:\tlasso value: 3.002987e+01, \tres: 2.313522e-03, \trun time: 1.079688e+01\n",
      "98000:\tlasso value: 3.002984e+01, \tres: 2.312263e-03, \trun time: 1.081250e+01\n",
      "98100:\tlasso value: 3.002980e+01, \tres: 2.311124e-03, \trun time: 1.082812e+01\n",
      "98200:\tlasso value: 3.002976e+01, \tres: 2.310107e-03, \trun time: 1.082812e+01\n",
      "98300:\tlasso value: 3.002972e+01, \tres: 2.309212e-03, \trun time: 1.082812e+01\n",
      "98400:\tlasso value: 3.002968e+01, \tres: 2.308439e-03, \trun time: 1.082812e+01\n",
      "98500:\tlasso value: 3.002964e+01, \tres: 2.307787e-03, \trun time: 1.082812e+01\n",
      "98600:\tlasso value: 3.002960e+01, \tres: 2.307257e-03, \trun time: 1.085938e+01\n",
      "98700:\tlasso value: 3.002956e+01, \tres: 2.306850e-03, \trun time: 1.087500e+01\n",
      "98800:\tlasso value: 3.002952e+01, \tres: 2.306565e-03, \trun time: 1.087500e+01\n",
      "98900:\tlasso value: 3.002949e+01, \tres: 2.306401e-03, \trun time: 1.087500e+01\n",
      "99000:\tlasso value: 3.002945e+01, \tres: 2.270899e-03, \trun time: 1.087500e+01\n",
      "99100:\tlasso value: 3.002941e+01, \tres: 2.248874e-03, \trun time: 1.087500e+01\n",
      "99200:\tlasso value: 3.002937e+01, \tres: 2.233726e-03, \trun time: 1.087500e+01\n",
      "99300:\tlasso value: 3.002934e+01, \tres: 2.222148e-03, \trun time: 1.089062e+01\n",
      "99400:\tlasso value: 3.002930e+01, \tres: 2.212951e-03, \trun time: 1.089062e+01\n",
      "99500:\tlasso value: 3.002927e+01, \tres: 2.205483e-03, \trun time: 1.090625e+01\n",
      "99600:\tlasso value: 3.002923e+01, \tres: 2.199331e-03, \trun time: 1.090625e+01\n",
      "99700:\tlasso value: 3.002920e+01, \tres: 2.194210e-03, \trun time: 1.093750e+01\n",
      "99800:\tlasso value: 3.002916e+01, \tres: 2.189915e-03, \trun time: 1.093750e+01\n",
      "99900:\tlasso value: 3.002913e+01, \tres: 2.186287e-03, \trun time: 1.095312e+01\n",
      "100000:\tlasso value: 3.002910e+01, \tres: 2.183208e-03, \trun time: 1.096875e+01\n",
      "在最大迭代次数内, PG算法未达到收敛容限.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 1000x600 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "100:\tlasso value: 3.821986e+01, \tres: 3.363878e-01, \trun time: 0.000000e+00\n",
      "200:\tlasso value: 3.321997e+01, \tres: 2.115318e-01, \trun time: 1.562500e-02\n",
      "300:\tlasso value: 3.141248e+01, \tres: 1.280507e-01, \trun time: 1.562500e-02\n",
      "400:\tlasso value: 3.066485e+01, \tres: 1.094661e-01, \trun time: 1.562500e-02\n",
      "500:\tlasso value: 3.030279e+01, \tres: 7.856967e-02, \trun time: 1.562500e-02\n",
      "600:\tlasso value: 3.012290e+01, \tres: 7.692899e-02, \trun time: 1.562500e-02\n",
      "700:\tlasso value: 3.006203e+01, \tres: 4.262825e-02, \trun time: 1.562500e-02\n",
      "800:\tlasso value: 3.003401e+01, \tres: 2.426093e-02, \trun time: 3.125000e-02\n",
      "900:\tlasso value: 3.002659e+01, \tres: 2.678126e-02, \trun time: 3.125000e-02\n",
      "1000:\tlasso value: 3.002407e+01, \tres: 8.833917e-03, \trun time: 4.687500e-02\n",
      "1100:\tlasso value: 3.002227e+01, \tres: 7.596553e-03, \trun time: 4.687500e-02\n",
      "1200:\tlasso value: 3.002107e+01, \tres: 7.562737e-03, \trun time: 4.687500e-02\n",
      "1300:\tlasso value: 3.001963e+01, \tres: 6.330594e-03, \trun time: 6.250000e-02\n",
      "1400:\tlasso value: 3.001829e+01, \tres: 5.437980e-03, \trun time: 6.250000e-02\n",
      "1500:\tlasso value: 3.001778e+01, \tres: 6.392296e-03, \trun time: 6.250000e-02\n",
      "1600:\tlasso value: 3.001722e+01, \tres: 4.558526e-03, \trun time: 6.250000e-02\n",
      "1700:\tlasso value: 3.001664e+01, \tres: 7.120622e-03, \trun time: 6.250000e-02\n",
      "1800:\tlasso value: 3.001651e+01, \tres: 4.192836e-03, \trun time: 7.812500e-02\n",
      "1900:\tlasso value: 3.001652e+01, \tres: 3.645962e-03, \trun time: 9.375000e-02\n",
      "2000:\tlasso value: 3.001642e+01, \tres: 2.385576e-03, \trun time: 1.093750e-01\n",
      "2100:\tlasso value: 3.001635e+01, \tres: 2.715864e-03, \trun time: 1.093750e-01\n",
      "2200:\tlasso value: 3.001629e+01, \tres: 1.587712e-03, \trun time: 1.250000e-01\n",
      "2300:\tlasso value: 3.001628e+01, \tres: 1.294941e-03, \trun time: 1.250000e-01\n",
      "2400:\tlasso value: 3.001625e+01, \tres: 8.867736e-04, \trun time: 1.406250e-01\n",
      "2500:\tlasso value: 3.001624e+01, \tres: 8.574639e-04, \trun time: 1.406250e-01\n",
      "2600:\tlasso value: 3.001623e+01, \tres: 9.812749e-04, \trun time: 1.718750e-01\n",
      "2700:\tlasso value: 3.001623e+01, \tres: 6.270690e-04, \trun time: 1.718750e-01\n",
      "2800:\tlasso value: 3.001621e+01, \tres: 1.151347e-03, \trun time: 1.718750e-01\n",
      "2900:\tlasso value: 3.001621e+01, \tres: 6.091335e-04, \trun time: 1.718750e-01\n",
      "3000:\tlasso value: 3.001621e+01, \tres: 5.706614e-04, \trun time: 1.875000e-01\n",
      "3100:\tlasso value: 3.001621e+01, \tres: 3.724646e-04, \trun time: 2.031250e-01\n",
      "3200:\tlasso value: 3.001620e+01, \tres: 3.605818e-04, \trun time: 2.031250e-01\n",
      "3300:\tlasso value: 3.001619e+01, \tres: 3.082301e-04, \trun time: 2.031250e-01\n",
      "3400:\tlasso value: 3.001619e+01, \tres: 6.487030e-04, \trun time: 2.187500e-01\n",
      "3500:\tlasso value: 3.001618e+01, \tres: 3.379725e-04, \trun time: 2.187500e-01\n",
      "3600:\tlasso value: 3.001617e+01, \tres: 4.248554e-04, \trun time: 2.187500e-01\n",
      "3700:\tlasso value: 3.001617e+01, \tres: 3.069048e-04, \trun time: 2.187500e-01\n",
      "3800:\tlasso value: 3.001616e+01, \tres: 2.026085e-04, \trun time: 2.187500e-01\n",
      "3900:\tlasso value: 3.001616e+01, \tres: 2.085282e-04, \trun time: 2.187500e-01\n",
      "4000:\tlasso value: 3.001616e+01, \tres: 6.583464e-04, \trun time: 2.187500e-01\n",
      "4100:\tlasso value: 3.001616e+01, \tres: 5.203651e-04, \trun time: 2.343750e-01\n",
      "4200:\tlasso value: 3.001615e+01, \tres: 3.100290e-04, \trun time: 2.343750e-01\n",
      "4300:\tlasso value: 3.001615e+01, \tres: 3.028866e-04, \trun time: 2.656250e-01\n",
      "4400:\tlasso value: 3.001615e+01, \tres: 2.252009e-04, \trun time: 2.968750e-01\n",
      "4500:\tlasso value: 3.001615e+01, \tres: 2.884174e-04, \trun time: 3.125000e-01\n",
      "4600:\tlasso value: 3.001615e+01, \tres: 2.437523e-04, \trun time: 3.281250e-01\n",
      "4700:\tlasso value: 3.001614e+01, \tres: 2.250427e-04, \trun time: 3.437500e-01\n",
      "4800:\tlasso value: 3.001614e+01, \tres: 2.908827e-04, \trun time: 3.750000e-01\n",
      "4900:\tlasso value: 3.001614e+01, \tres: 2.065007e-04, \trun time: 4.218750e-01\n",
      "5000:\tlasso value: 3.001614e+01, \tres: 1.671952e-04, \trun time: 4.218750e-01\n",
      "5100:\tlasso value: 3.001614e+01, \tres: 1.904679e-04, \trun time: 4.218750e-01\n",
      "5200:\tlasso value: 3.001613e+01, \tres: 1.836113e-04, \trun time: 4.218750e-01\n",
      "5300:\tlasso value: 3.001613e+01, \tres: 1.243336e-04, \trun time: 4.218750e-01\n",
      "5400:\tlasso value: 3.001613e+01, \tres: 1.356693e-04, \trun time: 4.375000e-01\n",
      "5500:\tlasso value: 3.001613e+01, \tres: 1.229977e-04, \trun time: 4.531250e-01\n",
      "5600:\tlasso value: 3.001613e+01, \tres: 9.652657e-05, \trun time: 4.687500e-01\n",
      "5700:\tlasso value: 3.001613e+01, \tres: 3.613852e-04, \trun time: 4.843750e-01\n",
      "5800:\tlasso value: 3.001613e+01, \tres: 2.994741e-04, \trun time: 4.843750e-01\n",
      "5900:\tlasso value: 3.001613e+01, \tres: 2.265580e-04, \trun time: 4.843750e-01\n",
      "6000:\tlasso value: 3.001613e+01, \tres: 1.775859e-04, \trun time: 4.843750e-01\n",
      "6100:\tlasso value: 3.001613e+01, \tres: 1.705784e-04, \trun time: 4.843750e-01\n",
      "6200:\tlasso value: 3.001613e+01, \tres: 1.983888e-04, \trun time: 4.843750e-01\n",
      "6300:\tlasso value: 3.001613e+01, \tres: 2.003123e-04, \trun time: 4.843750e-01\n",
      "6400:\tlasso value: 3.001613e+01, \tres: 1.763779e-04, \trun time: 4.843750e-01\n",
      "6500:\tlasso value: 3.001613e+01, \tres: 1.390253e-04, \trun time: 5.000000e-01\n",
      "6600:\tlasso value: 3.001613e+01, \tres: 1.250153e-04, \trun time: 5.000000e-01\n",
      "6700:\tlasso value: 3.001613e+01, \tres: 9.485361e-05, \trun time: 5.000000e-01\n",
      "6800:\tlasso value: 3.001613e+01, \tres: 1.140831e-04, \trun time: 5.156250e-01\n",
      "6900:\tlasso value: 3.001613e+01, \tres: 1.263743e-04, \trun time: 5.156250e-01\n",
      "7000:\tlasso value: 3.001613e+01, \tres: 1.248566e-04, \trun time: 5.156250e-01\n",
      "7100:\tlasso value: 3.001613e+01, \tres: 1.669012e-04, \trun time: 5.156250e-01\n",
      "7200:\tlasso value: 3.001613e+01, \tres: 1.411029e-04, \trun time: 5.156250e-01\n",
      "7300:\tlasso value: 3.001613e+01, \tres: 1.450010e-04, \trun time: 5.468750e-01\n",
      "7400:\tlasso value: 3.001613e+01, \tres: 1.306724e-04, \trun time: 5.781250e-01\n",
      "7500:\tlasso value: 3.001613e+01, \tres: 8.261561e-05, \trun time: 6.093750e-01\n",
      "7600:\tlasso value: 3.001613e+01, \tres: 9.079959e-05, \trun time: 6.406250e-01\n",
      "7700:\tlasso value: 3.001613e+01, \tres: 9.163577e-05, \trun time: 6.562500e-01\n",
      "7800:\tlasso value: 3.001613e+01, \tres: 5.473109e-05, \trun time: 6.875000e-01\n",
      "7900:\tlasso value: 3.001613e+01, \tres: 8.629325e-05, \trun time: 6.875000e-01\n",
      "8000:\tlasso value: 3.001613e+01, \tres: 7.438784e-05, \trun time: 7.031250e-01\n",
      "8100:\tlasso value: 3.001613e+01, \tres: 4.937332e-05, \trun time: 7.031250e-01\n",
      "8200:\tlasso value: 3.001613e+01, \tres: 6.617978e-05, \trun time: 7.031250e-01\n",
      "8300:\tlasso value: 3.001613e+01, \tres: 7.394710e-05, \trun time: 7.031250e-01\n",
      "8400:\tlasso value: 3.001613e+01, \tres: 5.151519e-05, \trun time: 7.187500e-01\n",
      "8500:\tlasso value: 3.001613e+01, \tres: 6.818265e-05, \trun time: 7.187500e-01\n",
      "8600:\tlasso value: 3.001613e+01, \tres: 6.923886e-05, \trun time: 7.187500e-01\n",
      "8700:\tlasso value: 3.001613e+01, \tres: 4.789811e-05, \trun time: 7.187500e-01\n",
      "8800:\tlasso value: 3.001613e+01, \tres: 5.218764e-05, \trun time: 7.187500e-01\n",
      "8900:\tlasso value: 3.001613e+01, \tres: 5.423192e-05, \trun time: 7.343750e-01\n",
      "9000:\tlasso value: 3.001613e+01, \tres: 3.212368e-05, \trun time: 7.343750e-01\n",
      "9100:\tlasso value: 3.001613e+01, \tres: 3.897577e-05, \trun time: 7.500000e-01\n",
      "9200:\tlasso value: 3.001613e+01, \tres: 4.810057e-05, \trun time: 7.500000e-01\n",
      "9300:\tlasso value: 3.001613e+01, \tres: 7.737782e-05, \trun time: 7.500000e-01\n",
      "9400:\tlasso value: 3.001613e+01, \tres: 4.295656e-05, \trun time: 7.656250e-01\n",
      "9500:\tlasso value: 3.001613e+01, \tres: 5.661463e-05, \trun time: 7.656250e-01\n",
      "9600:\tlasso value: 3.001613e+01, \tres: 5.087425e-05, \trun time: 7.656250e-01\n",
      "9700:\tlasso value: 3.001613e+01, \tres: 3.798283e-05, \trun time: 7.656250e-01\n",
      "9800:\tlasso value: 3.001613e+01, \tres: 3.926034e-05, \trun time: 7.968750e-01\n",
      "9900:\tlasso value: 3.001613e+01, \tres: 3.475933e-05, \trun time: 7.968750e-01\n",
      "10000:\tlasso value: 3.001613e+01, \tres: 2.329069e-05, \trun time: 8.125000e-01\n",
      "10100:\tlasso value: 3.001613e+01, \tres: 2.447023e-05, \trun time: 8.125000e-01\n",
      "10200:\tlasso value: 3.001613e+01, \tres: 3.274083e-05, \trun time: 8.125000e-01\n",
      "10300:\tlasso value: 3.001613e+01, \tres: 1.823238e-05, \trun time: 8.125000e-01\n",
      "10400:\tlasso value: 3.001613e+01, \tres: 2.121094e-05, \trun time: 8.125000e-01\n",
      "10500:\tlasso value: 3.001613e+01, \tres: 2.861481e-05, \trun time: 8.281250e-01\n",
      "10600:\tlasso value: 3.001613e+01, \tres: 1.981933e-05, \trun time: 8.281250e-01\n",
      "10700:\tlasso value: 3.001613e+01, \tres: 1.707324e-05, \trun time: 8.281250e-01\n",
      "10800:\tlasso value: 3.001613e+01, \tres: 2.846220e-05, \trun time: 8.593750e-01\n",
      "10900:\tlasso value: 3.001613e+01, \tres: 1.915789e-05, \trun time: 8.593750e-01\n",
      "收敛容限tol=1e-05条件下, 利用APG算法求解的最终结果为(结果保留3位小数)\n",
      "[-0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  9.800e-02 -0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  1.760e-01  0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00  0.000e+00  2.950e-01  0.000e+00\n",
      " -0.000e+00 -0.000e+00  2.970e-01 -0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00 -0.000e+00  3.500e-01  0.000e+00\n",
      "  0.000e+00 -4.060e-01  0.000e+00  0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  4.900e-01 -0.000e+00\n",
      "  4.900e-01  0.000e+00  1.469e+00 -0.000e+00 -0.000e+00  4.740e-01\n",
      "  0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00 -2.200e-01  0.000e+00  0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00  0.000e+00  4.400e-02  0.000e+00\n",
      "  0.000e+00  0.000e+00 -1.317e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00 -0.000e+00  3.170e-01  0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  2.290e-01  0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00  1.540e-01  1.850e-01 -0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00  9.540e-01  0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  8.670e-01\n",
      "  0.000e+00  0.000e+00 -8.600e-02 -0.000e+00 -0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -2.014e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00  1.624e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00  2.044e+00  0.000e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00  2.429e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00  2.140e-01  0.000e+00  9.230e-01  0.000e+00  0.000e+00\n",
      "  1.870e-01 -4.400e-01  0.000e+00 -0.000e+00 -0.000e+00 -1.668e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00\n",
      "  2.332e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  5.300e-02\n",
      "  1.283e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00  3.740e-01 -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00\n",
      "  7.200e-02  0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00 -5.900e-01  0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00  0.000e+00  7.250e-01  0.000e+00\n",
      "  0.000e+00 -0.000e+00 -6.200e-02 -0.000e+00  2.102e+00 -0.000e+00\n",
      " -1.073e+00  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00  4.870e-01  0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00\n",
      "  0.000e+00  1.329e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00  6.680e-01\n",
      "  0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  6.550e-01 -0.000e+00  0.000e+00  5.800e-02\n",
      "  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  6.220e-01\n",
      "  0.000e+00 -0.000e+00  1.621e+00  0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  1.030e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00\n",
      "  3.940e-01  0.000e+00 -1.806e+00  0.000e+00 -0.000e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00  3.670e-01  0.000e+00 -0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00  8.540e-01  0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00 -1.130e-01 -0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  2.264e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00  0.000e+00  0.000e+00 -6.300e-02\n",
      "  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00 -6.290e-01 -0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00 -1.870e-01  0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -1.700e-02\n",
      "  0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00\n",
      "  1.790e-01 -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00  1.091e+00  1.240e-01 -0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00  3.380e-01 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -0.000e+00 -2.083e+00\n",
      "  0.000e+00  0.000e+00  1.640e-01  0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00  8.040e-01 -0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00 -0.000e+00  9.370e-01 -0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  6.150e-01  0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00 -2.700e-02\n",
      "  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00 -1.099e+00 -0.000e+00  1.231e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  6.800e-02  3.111e+00  1.070e-01  0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  7.690e-01  6.430e-01  0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      " -4.390e-01 -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  1.280e-01 -0.000e+00 -0.000e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00 -1.980e-01  0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00  0.000e+00  1.370e-01  9.100e-02\n",
      "  0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00 -3.620e-01 -0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00  1.914e+00  0.000e+00  7.840e-01  0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00 -3.940e-01  0.000e+00 -0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00  0.000e+00  4.610e-01  0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00  0.000e+00  0.000e+00  1.379e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -1.000e-03\n",
      " -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00 -1.088e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00 -3.790e-01 -1.404e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  1.320e-01\n",
      "  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      "  4.990e-01  0.000e+00 -1.448e+00 -0.000e+00  1.677e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  2.870e-01 -0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00 -7.590e-01 -0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00  0.000e+00  2.118e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00  1.200e-01 -0.000e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00 -9.160e-01  0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00  5.720e-01 -0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  1.604e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00].\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ],
      "image/png": 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cdHR0xAMPPPCGP+vhhx+OwcHBmD179jEPDgAA8FYcc/Ts3bs3FixYEN/85jff8P4777wzli9fHtddd12sX78+PvCBD8TixYtj8+bNQ67buXNnXH755XHrrbce3+QAAABvwTF/vG3x4sWxePHiI95/4403xhVXXBGf+9znIiLipptuin/5l3+JW265JVauXBkREQMDA/HJT34yrr322jj33HPf9PEGBgZiYGCg+n1/f/+xjnzCJcvbAACgtOq6vW3//v2xdu3aWLRo0ZDbFy1aFGvWrImIiJRSfPazn40PfehDsWTJkqP+zJUrV0ZLS0v1y0fhAACAY1HX6NmxY0ccPHgwpk+fPuT26dOnx7Zt2yIi4pe//GXceeedcc8998TChQtj4cKFsXHjxiP+zGuvvTb6+vqqX1u2bKnnyDWyvg0AAMruhGxvq7xul3NKqXrbeeedF4ODg2/5ZzU3N0dzc3Nd5wMAAEaOur7TM3Xq1Bg1alT1XZ1Dtm/ffti7PwAAAMOhrtEzduzY6OjoiFWrVg25fdWqVUddWNDI7DEAAIDyOuaPt+3ZsyeeeOKJ6vebNm2KDRs2xJQpU2LOnDmxYsWKWLJkSZx99tlxzjnnxK233hqbN2+OK6+8sq6DAwAAvBXHHD0PP/xwXHjhhdXvV6xYERERS5cujdtvvz0uvfTS2LlzZ1x//fWxdevWaG9vj3vvvTfmzp1bv6lLomKPAQAAlN4xR88FF1wQ6Sh/Mc1VV10VV1111XEPBQAAUC91/Z0eAACAshE9AABA1homerq7u6OtrS06OzuLHuUwR/m0HwAAUKCGiZ6urq7o7e2Nnp6eokcBAAAaSMNETxlZ3gYAAOUnegAAgKyJHgAAIGuiBwAAyJroqYMU1rcBAEBZiZ4aVGwyAACA0hM9AABA1kQPAACQNdEDAABkrWGip7u7O9ra2qKzs7PoUQ6T7DEAAIDSapjo6erqit7e3ujp6Sl6FAAAoIE0TPSUUSWsbwMAgLITPQAAQNZEDwAAkDXRAwAAZE301IHlbQAAUF6ipwYVewwAAKD0RA8AAJA10QMAAGRN9AAAAFkTPfWQrDIAAICyEj0AAEDWGiZ6uru7o62tLTo7O4sepcr2NgAAKL+GiZ6urq7o7e2Nnp6eokcBAAAaSMNEDwAAwPEQPQAAQNZETx3Y3QYAAOUlempQCZsMAACg7EQPAACQNdEDAABkTfQAAABZEz0AAEDWRE8dJOvbAACgtERPLSxvAwCA0hM9AABA1kQPAACQNdEDAABkTfTUQbLJAAAASqthoqe7uzva2tqis7Oz6FEAAIAG0jDR09XVFb29vdHT01P0KFWWtwEAQPk1TPQAAAAcD9EDAABkTfQAAABZEz11YHcbAACUl+ipQaVilQEAAJSd6AEAALImegAAgKyJHgAAIGuiBwAAyJroqcGYUa8uMhg4MFjwJAAAwJGInhpMah4dERF79h0oeBIAAOBIRE8NJo0bExERu/e9UvAkAADAkYieGkwa9+o7PX0vix4AACgr0VODP5nUHBERz+8ZKHgSAADgSERPDWa2jI+IiE3P742UUsHTAAAAb6Rhoqe7uzva2tqis7Oz6FGqFs4+OcaOaopn+/bFph17ix4HAAB4Aw0TPV1dXdHb2xs9PT1Fj1I1fuyoWDj75IiIWPvUrmKHAQAA3lDDRE9ZLZjdEhERjz7dV/AkAADAGxE9NZo/6+SIiHj06RcLnQMAAHhjoqdG82e9+k7Pv2/dHfsPDBY8DQAA8Hqip0ZzpkyIyeNGx/6Dg/H77buLHgcAAHgd0VOjSqUSba2TIyKi99n+gqcBAABeT/TUQdvMVz/i1rtV9AAAQNmInjp412vv9PzGOz0AAFA6oqcODn287d+f7Y+UUsHTAAAAf0z01MGfTTspxo5qit0DB2LLCy8XPQ4AAPBHRE8djBnVFH8+46SIiOjd6i8pBQCAMhE9dfKu15YZ+L0eAAAoF9FTJ9ZWAwBAOYmeOrHBDQAAykn01MkZMydHpRKxrX9f7NwzUPQ4AADAa0RPnZzUPDredurEiPCXlAIAQJmInjpqm+n3egAAoGxETx21+b0eAAAoHdFTR9UNbj7eBgAApSF66ujQBrcnn98TewcOFDwNAAAQIXrqatqkcXHayeNjMEWsfWpX0eMAAADRQNHT3d0dbW1t0dnZWfQob+q9p0+JiIhfb9pZ8CQAAEBEA0VPV1dX9Pb2Rk9PT9GjvKn3zTs1IiIe2vRCwZMAAAARDRQ9jeLQOz0btrzo93oAAKAERE+dzZkyIWZPGR+vHEzxqyd9xA0AAIomeuqsUqnEB9/+JxERsfrx5wueBgAAED0nwAf//LXo+f2OgicBAABEzwlw7p+eGqObKrFpx954aufeoscBAIARTfScAJPGjYn3zHt1ocGPH91a8DQAADCyiZ4T5JNnnRYREXetezpSSgVPAwAAI5foOUEWnzkzxo1piief3xuPPN1X9DgAADBiiZ4T5KTm0fGxd82IiIg7ezYXPA0AAIxcoucE+vR75kRExF1rn4ltffsKngYAAEYm0XMCvWfelOh82ymx/+Bg3Lr6yaLHAQCAEUn0nECVSiU+/6G3R0TE9x56KnbsGSh4IgAAGHlEzwn2gbdPjQWzT459rwzGt37+H0WPAwAAI47oOcEqlUp88SOvvttz+5o/xG+39Rc8EQAAjCyiZxhc8I5p8Z/apseBwRRfuWtjHDg4WPRIAAAwYoieYfLf/3N7TGoeHY9seTH+/t7fFj0OAACMGKJnmMxoGRf/81PzIyLi//xyU9z88ycKnggAAEYG0TOMPtY+M65ZfEZERPyPn/wuvv2LTQVPBAAA+RM9w+zK8/80rv7wq4sN/vuPe+P2X26KlFLBUwEAQL5ETwGWf+Tt8V/PPz0iIr72o95Y9v310ffSKwVPBQAAeRI9BahUKnHNx86IL330HTG6qRL//OjW+Nj/Xh0//9127/oAAECdVVKD/b/s/v7+aGlpib6+vpg8eXLR49TskS0vxvI7N8SmHXsjIuKMGZNi6blvi0+edVqMGzOq4OkAAKC83mobiJ4S2DtwIP7XT38Xdzy0JV5+5WBERLSMHxMfeef0uHjBzHj/n02NMaO8KQcAAH9M9DSgvpdfiR88vCW+88s/xDMvvly9fcLYUdEx95R43+mnxrvnnBJtMydHy4QxBU4KAADFEz0N7OBgiof/8EL888at8c+Pbo2de/cfds3Uk5pj7qkTovXk8TFjcnNMPem1r0nNMfWksXHKhLHRPLopxh76GtUUlUqlgGcDAAAnhujJxOBgise3745f/cfO+NWTL8TGZ/qGvAt0LMaOGhpBY0c3RVMlqjFUee1fDqVRpVKJSkRUKhGV12491E1//M9UKodfU/mji8uUWmXqvhKNUqogLs8kAMCRLJh9cvy3T7QVPcZbboPRwzhTTbq7u6O7uzsOHjxY9CjDqqmpEmfMmBxnzJgcn33/vIiI2DNwIJ58fk88vevleGbXy7F9977YsWd/7NgzEM/vHogde/ZH/8uvxP6Dg0N+1v6Dg6/eNlDEMwEAIBfjxzbWwi3v9GRscDBVQ2f/gT/6eu37gQOD1RXZKSJSisO/j/TqN6+/rfqfX/1nqi+i1+4/9Koa7lfXcL+Yh/uPz/A/v2F+wGF/hgDA8Tj1pObofNuUosfI750ejl1TUyXGNY2y+hoAgBHNHmQAACBrogcAAMia6AEAALImegAAgKyJHgAAIGuiBwAAyJroAQAAsiZ6AACArIkeAAAga6IHAADImugBAACyJnoAAICsiR4AACBrogcAAMia6AEAALImegAAgKyJHgAAIGujix7gWKWUIiKiv7+/4EkAAIAiHWqCQ41wJA0XPbt3746IiNmzZxc8CQAAUAa7d++OlpaWI95fSUfLopIZHByMZ599NiZNmhSVSqXQWfr7+2P27NmxZcuWmDx5cqGzMPycP14DI5vzH9mc/8jm/MsjpRS7d++O1tbWaGo68m/uNNw7PU1NTTFr1qyixxhi8uTJXvAjmPPHa2Bkc/4jm/Mf2Zx/ObzZOzyHWGQAAABkTfQAAABZEz01aG5ujq9+9avR3Nxc9CgUwPnjNTCyOf+RzfmPbM6/8TTcIgMAAIBj4Z0eAAAga6IHAADImugBAACyJnoAAICsiR4AACBroqcGN998c8ybNy/GjRsXHR0d8cADDxQ9Esdo5cqV0dnZGZMmTYpp06bFX/7lX8bvfve7IdeklOJrX/tatLa2xvjx4+OCCy6I3/zmN0OuGRgYiM9//vMxderUmDhxYvzFX/xFPP3000Ou2bVrVyxZsiRaWlqipaUllixZEi+++OKJfoocg5UrV0alUonly5dXb3P+eXvmmWfiM5/5TJx66qkxYcKEWLhwYaxdu7Z6v/PP14EDB+Lv/u7vYt68eTF+/Pg4/fTT4/rrr4/BwcHqNc4/L6tXr46LL744Wltbo1KpxD333DPk/uE8782bN8fFF18cEydOjKlTp8YXvvCF2L9//4l42hySOC533HFHGjNmTLrttttSb29vuvrqq9PEiRPTU089VfRoHIOPfvSj6Tvf+U567LHH0oYNG9JFF12U5syZk/bs2VO95oYbbkiTJk1Kd911V9q4cWO69NJL08yZM1N/f3/1miuvvDKddtppadWqVWndunXpwgsvTAsWLEgHDhyoXvOxj30stbe3pzVr1qQ1a9ak9vb29IlPfGJYny9H9tBDD6W3ve1taf78+enqq6+u3u788/XCCy+kuXPnps9+9rPp17/+ddq0aVO677770hNPPFG9xvnn6+tf/3o69dRT049//OO0adOm9IMf/CCddNJJ6aabbqpe4/zzcu+996brrrsu3XXXXSki0j/90z8NuX+4zvvAgQOpvb09XXjhhWndunVp1apVqbW1NS1btuyE/3cwkome4/Se97wnXXnllUNuO+OMM9I111xT0ETUw/bt21NEpPvvvz+llNLg4GCaMWNGuuGGG6rX7Nu3L7W0tKRvfetbKaWUXnzxxTRmzJh0xx13VK955plnUlNTU/rJT36SUkqpt7c3RUT61a9+Vb3mwQcfTBGRfvvb3w7HU+NN7N69O7397W9Pq1atSueff341epx/3r7yla+k884774j3O/+8XXTRRemv//qvh9x2ySWXpM985jMpJeefu9dHz3Ce97333puamprSM888U73m+9//fmpubk59fX0n5PmSko+3HYf9+/fH2rVrY9GiRUNuX7RoUaxZs6agqaiHvr6+iIiYMmVKRERs2rQptm3bNuSsm5ub4/zzz6+e9dq1a+OVV14Zck1ra2u0t7dXr3nwwQejpaUl3vve91aved/73hctLS1eMyXQ1dUVF110UXzkIx8Zcrvzz9sPf/jDOPvss+NTn/pUTJs2Lc4666y47bbbqvc7/7ydd9558a//+q/x+OOPR0TEI488Er/4xS/i4x//eEQ4/5FmOM/7wQcfjPb29mhtba1e89GPfjQGBgaGfLyW+hpd9ACNaMeOHXHw4MGYPn36kNunT58e27ZtK2gqapVSihUrVsR5550X7e3tERHV83yjs37qqaeq14wdOzZOOeWUw6459M9v27Ytpk2bdthjTps2zWumYHfccUesW7cuenp6DrvP+eftySefjFtuuSVWrFgRf/u3fxsPPfRQfOELX4jm5ua4/PLLnX/mvvKVr0RfX1+cccYZMWrUqDh48GB84xvfiE9/+tMR4c//SDOc571t27bDHueUU06JsWPHek2cQKKnBpVKZcj3KaXDbqNxLFu2LB599NH4xS9+cdh9x3PWr7/mja73minWli1b4uqrr46f/vSnMW7cuCNe5/zzNDg4GGeffXb8/d//fUREnHXWWfGb3/wmbrnllrj88sur1zn/PN15553x3e9+N773ve/Fu971rtiwYUMsX748WltbY+nSpdXrnP/IMlzn7TUx/Hy87ThMnTo1Ro0adViNb9++/bBypzF8/vOfjx/+8Ifxs5/9LGbNmlW9fcaMGRERb3rWM2bMiP3798euXbve9JrnnnvusMd9/vnnvWYKtHbt2ti+fXt0dHTE6NGjY/To0XH//ffHP/zDP8To0aOrZ+P88zRz5sxoa2sbcts73/nO2Lx5c0T485+7L33pS3HNNdfEX/3VX8WZZ54ZS5YsiS9+8YuxcuXKiHD+I81wnveMGTMOe5xdu3bFK6+84jVxAome4zB27Njo6OiIVatWDbl91apVce655xY0FccjpRTLli2Lu+++O/7t3/4t5s2bN+T+efPmxYwZM4ac9f79++P++++vnnVHR0eMGTNmyDVbt26Nxx57rHrNOeecE319ffHQQw9Vr/n1r38dfX19XjMF+vCHPxwbN26MDRs2VL/OPvvsuOyyy2LDhg1x+umnO/+Mvf/97z9sRf3jjz8ec+fOjQh//nP30ksvRVPT0P8bNGrUqOrKauc/sgzneZ9zzjnx2GOPxdatW6vX/PSnP43m5ubo6Og4oc9zRBvmxQnZOLSy+tvf/nbq7e1Ny5cvTxMnTkx/+MMfih6NY/A3f/M3qaWlJf385z9PW7durX699NJL1WtuuOGG1NLSku6+++60cePG9OlPf/oNV1jOmjUr3XfffWndunXpQx/60BuusJw/f3568MEH04MPPpjOPPNMK0tL6I+3t6Xk/HP20EMPpdGjR6dvfOMb6fe//336x3/8xzRhwoT03e9+t3qN88/X0qVL02mnnVZdWX333XenqVOnpi9/+cvVa5x/Xnbv3p3Wr1+f1q9fnyIi3XjjjWn9+vXVv25kuM770MrqD3/4w2ndunXpvvvuS7NmzbKy+gQTPTXo7u5Oc+fOTWPHjk3vfve7q2uOaRwR8YZf3/nOd6rXDA4Opq9+9atpxowZqbm5OX3wgx9MGzduHPJzXn755bRs2bI0ZcqUNH78+PSJT3wibd68ecg1O3fuTJdddlmaNGlSmjRpUrrsssvSrl27huFZcixeHz3OP28/+tGPUnt7e2pubk5nnHFGuvXWW4fc7/zz1d/fn66++uo0Z86cNG7cuHT66aen6667Lg0MDFSvcf55+dnPfvaG/5u/dOnSlNLwnvdTTz2VLrroojR+/Pg0ZcqUtGzZsrRv374T+fRHvEpKKRXzHhMAAMCJ53d6AACArIkeAAAga6IHAADImugBAACyJnoAAICsiR4AACBrogcAAMia6AEAALImegAAgKyJHgAAIGuiBwAAyNr/A2mSAmzKd4U+AAAAAElFTkSuQmCC"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 1000x600 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "100:\tlasso value: 3.030416e+01, \tres: 3.822187e-03, \trun time: 1.937500e+00\n",
      "200:\tlasso value: 3.012928e+01, \tres: 1.494631e-03, \trun time: 2.765625e+00\n",
      "300:\tlasso value: 3.007418e+01, \tres: 8.341120e-04, \trun time: 3.859375e+00\n",
      "400:\tlasso value: 3.005262e+01, \tres: 5.039613e-04, \trun time: 4.671875e+00\n",
      "500:\tlasso value: 3.003630e+01, \tres: 3.050177e-04, \trun time: 5.546875e+00\n",
      "600:\tlasso value: 3.003252e+01, \tres: 1.985908e-04, \trun time: 6.625000e+00\n",
      "700:\tlasso value: 3.002981e+01, \tres: 1.469446e-04, \trun time: 7.468750e+00\n",
      "800:\tlasso value: 3.002273e+01, \tres: 1.133284e-04, \trun time: 8.328125e+00\n",
      "900:\tlasso value: 3.002077e+01, \tres: 9.056958e-05, \trun time: 9.078125e+00\n",
      "1000:\tlasso value: 3.002294e+01, \tres: 7.616733e-05, \trun time: 1.007812e+01\n",
      "1100:\tlasso value: 3.002190e+01, \tres: 6.411667e-05, \trun time: 1.076562e+01\n",
      "1200:\tlasso value: 3.001951e+01, \tres: 5.445925e-05, \trun time: 1.175000e+01\n",
      "1300:\tlasso value: 3.001956e+01, \tres: 4.716591e-05, \trun time: 1.262500e+01\n",
      "1400:\tlasso value: 3.001967e+01, \tres: 4.159308e-05, \trun time: 1.345312e+01\n",
      "1500:\tlasso value: 3.001908e+01, \tres: 3.751791e-05, \trun time: 1.467188e+01\n",
      "1600:\tlasso value: 3.001821e+01, \tres: 3.331916e-05, \trun time: 1.553125e+01\n",
      "1700:\tlasso value: 3.001828e+01, \tres: 2.994927e-05, \trun time: 1.629688e+01\n",
      "1800:\tlasso value: 3.001867e+01, \tres: 2.747995e-05, \trun time: 1.701562e+01\n",
      "1900:\tlasso value: 3.001757e+01, \tres: 2.498591e-05, \trun time: 1.743750e+01\n",
      "2000:\tlasso value: 3.001753e+01, \tres: 2.263397e-05, \trun time: 1.859375e+01\n",
      "2100:\tlasso value: 3.001817e+01, \tres: 2.058587e-05, \trun time: 1.942188e+01\n",
      "2200:\tlasso value: 3.001759e+01, \tres: 1.916658e-05, \trun time: 4.314062e+01\n",
      "2300:\tlasso value: 3.001709e+01, \tres: 1.738522e-05, \trun time: 6.173438e+01\n",
      "2400:\tlasso value: 3.001732e+01, \tres: 1.587561e-05, \trun time: 7.407812e+01\n",
      "2500:\tlasso value: 3.001754e+01, \tres: 1.482254e-05, \trun time: 7.964062e+01\n",
      "2600:\tlasso value: 3.001690e+01, \tres: 1.363231e-05, \trun time: 8.048438e+01\n",
      "2700:\tlasso value: 3.001681e+01, \tres: 1.250016e-05, \trun time: 8.135938e+01\n",
      "2800:\tlasso value: 3.001725e+01, \tres: 1.149194e-05, \trun time: 8.223438e+01\n",
      "2900:\tlasso value: 3.001691e+01, \tres: 1.078552e-05, \trun time: 8.382812e+01\n",
      "收敛容限tol=1e-05条件下, 利用ADMM算法求解的最终结果为(结果保留3位小数)\n",
      "[-0.000e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00  9.900e-02  0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00 -0.000e+00  1.770e-01 -0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  2.950e-01  0.000e+00\n",
      "  0.000e+00 -0.000e+00  2.970e-01 -0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00 -0.000e+00  3.510e-01  0.000e+00\n",
      " -0.000e+00 -4.060e-01 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  4.900e-01 -0.000e+00\n",
      "  4.900e-01  0.000e+00  1.468e+00 -0.000e+00 -0.000e+00  4.740e-01\n",
      " -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00 -2.200e-01  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00  0.000e+00  4.400e-02  0.000e+00\n",
      " -0.000e+00  0.000e+00 -1.317e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00 -0.000e+00  3.170e-01 -0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00  2.290e-01 -0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00  1.550e-01  1.860e-01  0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00  9.540e-01  0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  8.660e-01\n",
      "  0.000e+00  0.000e+00 -8.500e-02 -0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -2.014e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00  1.624e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00  2.044e+00 -0.000e+00  0.000e+00\n",
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      "  0.000e+00  0.000e+00  0.000e+00 -0.000e+00].\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 1000x600 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 18
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "# 对比结果绘制\n",
   "id": "6ea4d4ab2901986f"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-06-20T12:50:41.620530Z",
     "start_time": "2024-06-20T12:48:29.718469Z"
    }
   },
   "cell_type": "code",
   "source": [
    "iters = int(1e5)\n",
    "tol = 1e-5\n",
    "\n",
    "# 设置画布\n",
    "fig, axs = plt.subplots(3, 3, figsize=(15, 15), sharey='row', sharex='col')\n",
    "plt.rcParams['xtick.direction'] = 'in'\n",
    "plt.rcParams['ytick.direction'] = 'in'\n",
    "plt.subplots_adjust(wspace=0, hspace=0)\n",
    "algorithms = ['PG', 'APG', 'ADMM']\n",
    "data_scales = ['Small', 'Medium', 'Large']\n",
    "np.random.seed(0)\n",
    "\n",
    "for j, num in enumerate([100, 1000, 10000]):\n",
    "    matrixA, vectorb, true_coef = generate_data(num, 500)\n",
    "    # show_process=False 不输出中间过程\n",
    "    x_pg, y_pg, res_pg, times_pg = pg_lasso(matrixA, vectorb, 0.4, max_iter=iters, tol=tol, plot=False,\n",
    "                                            show_process=False)\n",
    "    x_apg, y_apg, res_apg, times_apg = apg_lasso(matrixA, vectorb, 0.4, max_iter=iters, tol=tol, plot=False,\n",
    "                                                 show_process=False)\n",
    "    x_admm, y_admm, res_admm, times_admm = admm_lasso(matrixA, vectorb, 0.4, 1, max_iter=iters, tol=tol, plot=False,\n",
    "                                                      show_process=False)\n",
    "    Y = [y_pg, y_apg, y_admm]\n",
    "    RES = [res_pg, res_apg, res_admm]\n",
    "    TIMES = [times_pg, times_apg, times_admm]\n",
    "    for i in range(3):\n",
    "        view_plot_2(Y[i], RES[i], TIMES[i], axs[:, j], algorithms[i], data_scales[j])\n",
    "axs[2, 0].set_xlabel('Iteration')\n",
    "axs[2, 1].set_xlabel('Iteration')\n",
    "axs[2, 2].set_xlabel('Iteration')\n",
    "axs[0, 0].set_ylabel('Lasso Values')\n",
    "axs[1, 0].set_ylabel('RES Values')\n",
    "axs[2, 0].set_ylabel('GPU Running Times(s)')\n",
    "\n",
    "plt.legend(loc='lower right')\n",
    "plt.show()"
   ],
   "id": "eb25d5116757325e",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "在最大迭代次数内, PG算法未达到收敛容限.\n",
      "收敛容限tol=1e-05条件下, 利用APG算法求解的最终结果为(结果保留3位小数)\n",
      "[ 0.    -0.     0.     0.     0.     0.     0.     0.     0.     0.\n",
      "  0.    -0.    -0.     0.    -0.    -0.     0.    -0.     0.835 -0.\n",
      " -0.     0.075  0.    -0.     0.    -0.     0.    -0.     0.     0.\n",
      "  0.     0.     1.129  0.     1.43   0.    -0.    -0.     2.147  0.\n",
      " -0.    -0.497 -0.     0.    -0.     1.207 -0.159  0.     0.    -0.\n",
      "  0.     0.165 -0.     0.     0.     0.     0.     0.     0.     0.\n",
      " -0.294 -0.067  0.    -0.     0.     0.    -0.     0.     0.    -0.116\n",
      " -0.     0.     0.     0.    -0.508 -0.    -0.    -0.     0.137 -0.\n",
      "  0.     1.079  2.676  0.    -0.     0.     0.15   0.    -0.     0.\n",
      "  0.     0.373 -0.     0.     0.    -0.    -0.    -0.    -0.     0.\n",
      "  0.     0.     0.     0.488  0.845  0.    -0.     0.    -0.     0.\n",
      " -0.    -0.752 -0.413 -0.    -0.     0.279  0.     0.     0.     0.\n",
      " -0.    -0.878  0.     0.     0.    -0.    -0.    -0.932  0.    -0.\n",
      " -0.     0.    -0.    -0.    -0.     0.    -0.    -0.    -0.     0.\n",
      "  0.    -0.    -0.    -0.    -0.335 -0.    -0.     0.     0.     0.\n",
      " -0.     0.     0.     0.     0.     1.701  0.    -0.     0.    -0.\n",
      "  0.    -0.    -0.    -0.    -0.     0.    -0.     0.618 -0.    -0.\n",
      " -0.     0.094 -0.    -0.     0.322 -0.    -0.028  0.046  0.     0.\n",
      "  0.671  0.943  0.    -0.239  0.    -0.     0.    -0.    -0.     0.\n",
      "  0.    -0.     0.     0.     0.    -0.083 -0.     0.    -0.    -0.\n",
      "  0.242 -0.    -0.    -0.    -0.     0.     0.    -0.    -0.    -0.\n",
      "  0.    -0.     0.    -0.    -0.     0.117  0.     0.     0.     0.\n",
      " -0.    -0.    -0.     0.     0.    -0.     0.51  -0.     0.     0.\n",
      "  1.29   0.     0.     0.    -0.     0.     0.    -0.    -0.    -0.\n",
      " -0.    -0.     0.     0.178 -0.    -0.     0.     0.     0.     0.299\n",
      "  0.453  0.    -0.    -0.     1.311  0.    -0.    -0.    -0.     0.\n",
      " -0.     0.074  0.09   0.     0.    -0.217  0.     0.723  0.    -0.\n",
      " -0.     0.     0.     0.     0.    -0.802  0.     0.     0.     0.632\n",
      "  0.     0.    -0.    -0.     0.     0.     1.526 -0.     0.    -0.\n",
      "  0.     0.06  -0.    -0.     0.287  0.    -0.     0.     0.202  0.\n",
      "  0.     1.065  0.968 -0.    -0.102 -0.     0.    -0.    -0.    -0.\n",
      "  0.    -0.     0.     0.119  0.    -0.    -0.     0.     0.     0.\n",
      "  0.     0.    -0.     0.     0.     0.    -0.529  0.    -0.    -0.\n",
      "  0.137  0.     0.     0.    -0.073  0.    -0.     0.    -0.     0.\n",
      " -0.     0.     0.     0.    -0.    -0.041 -0.     0.    -0.     0.\n",
      " -0.295  0.    -0.     0.     0.     0.    -0.    -0.    -0.     0.362\n",
      "  0.    -0.    -0.     0.     0.    -0.    -0.     0.684 -0.    -0.337\n",
      " -0.    -0.     0.    -0.    -0.    -0.     0.    -0.    -0.334 -0.\n",
      " -0.     1.507 -0.976 -0.     0.     0.606  0.    -0.    -0.     0.\n",
      "  0.    -0.    -0.     0.     0.     0.     0.     1.062 -0.     0.\n",
      "  0.     0.719 -0.     0.     0.    -0.    -0.    -0.793  0.     0.\n",
      "  0.    -0.     0.    -0.     0.     0.    -0.     1.049  0.    -0.373\n",
      " -0.     0.432  0.487 -0.624  0.643 -0.     0.094  0.    -0.     0.\n",
      "  0.    -0.078  0.026  0.     0.     0.141 -0.    -0.     0.     0.\n",
      " -0.    -0.    -1.233 -0.301  1.074  0.642 -0.     0.    -0.     0.\n",
      "  0.    -0.    -0.     0.     0.     0.     0.     0.    -0.     0.\n",
      " -0.    -0.635 -0.193  0.     0.     0.    -0.     0.     0.031  0.758\n",
      "  1.21   0.     0.     0.     0.    -0.     0.997 -0.     0.     2.546\n",
      "  0.461 -0.     0.     0.     0.     0.275 -0.     0.     0.     0.317\n",
      " -0.005  0.     0.     0.467 -0.     0.    -0.076 -0.    -0.     0.   ].\n",
      "收敛容限tol=1e-05条件下, 利用ADMM算法求解的最终结果为(结果保留3位小数)\n",
      "[-0.    -0.    -0.    -0.    -0.    -0.    -0.    -0.    -0.    -0.\n",
      " -0.    -0.     0.    -0.     0.     0.    -0.    -0.     0.834 -0.\n",
      "  0.     0.076  0.     0.    -0.    -0.     0.     0.    -0.     0.\n",
      " -0.    -0.     1.129 -0.     1.431 -0.     0.     0.     2.147  0.\n",
      " -0.    -0.497 -0.     0.    -0.     1.207 -0.16  -0.     0.     0.\n",
      " -0.     0.165  0.    -0.    -0.    -0.    -0.     0.     0.    -0.\n",
      " -0.294 -0.068 -0.    -0.     0.    -0.    -0.    -0.     0.    -0.116\n",
      " -0.    -0.    -0.     0.    -0.508 -0.    -0.    -0.     0.137 -0.\n",
      "  0.     1.079  2.676  0.    -0.    -0.     0.151 -0.     0.    -0.\n",
      "  0.     0.374 -0.    -0.    -0.    -0.    -0.     0.    -0.     0.\n",
      " -0.    -0.    -0.     0.488  0.844  0.     0.    -0.     0.     0.\n",
      "  0.    -0.751 -0.413 -0.     0.     0.279  0.    -0.     0.     0.\n",
      "  0.    -0.878 -0.     0.    -0.    -0.     0.    -0.932 -0.    -0.\n",
      "  0.     0.     0.     0.    -0.     0.     0.    -0.     0.     0.\n",
      " -0.    -0.    -0.     0.    -0.335 -0.     0.     0.     0.    -0.\n",
      " -0.    -0.    -0.     0.     0.     1.701 -0.     0.    -0.     0.\n",
      "  0.     0.    -0.    -0.     0.    -0.     0.     0.618 -0.    -0.\n",
      "  0.     0.094  0.     0.     0.322 -0.    -0.028  0.046  0.    -0.\n",
      "  0.671  0.943 -0.    -0.239  0.    -0.     0.    -0.    -0.     0.\n",
      "  0.    -0.     0.    -0.    -0.    -0.082 -0.    -0.    -0.    -0.\n",
      "  0.243  0.     0.     0.    -0.    -0.    -0.     0.    -0.     0.\n",
      " -0.    -0.    -0.    -0.     0.     0.117  0.    -0.     0.     0.\n",
      "  0.    -0.    -0.    -0.    -0.     0.     0.51   0.    -0.    -0.\n",
      "  1.29   0.     0.     0.    -0.    -0.    -0.    -0.     0.    -0.\n",
      " -0.     0.     0.     0.178 -0.    -0.     0.    -0.    -0.     0.298\n",
      "  0.453  0.    -0.     0.     1.31  -0.    -0.    -0.    -0.    -0.\n",
      " -0.     0.075  0.09  -0.    -0.    -0.216  0.     0.723 -0.     0.\n",
      " -0.    -0.     0.     0.     0.    -0.802  0.     0.     0.     0.631\n",
      "  0.    -0.     0.     0.    -0.    -0.     1.526  0.    -0.     0.\n",
      " -0.     0.06  -0.     0.     0.287 -0.     0.    -0.     0.202 -0.\n",
      " -0.     1.065  0.968 -0.    -0.102 -0.    -0.     0.     0.     0.\n",
      "  0.    -0.     0.     0.118  0.    -0.     0.     0.     0.    -0.\n",
      " -0.     0.     0.     0.    -0.    -0.    -0.529 -0.    -0.     0.\n",
      "  0.137 -0.     0.     0.    -0.074 -0.    -0.    -0.    -0.    -0.\n",
      "  0.    -0.    -0.     0.    -0.    -0.041 -0.     0.     0.     0.\n",
      " -0.295  0.     0.    -0.    -0.     0.     0.    -0.    -0.     0.362\n",
      " -0.    -0.    -0.    -0.    -0.    -0.    -0.     0.684 -0.    -0.337\n",
      " -0.     0.    -0.     0.     0.     0.    -0.     0.    -0.334 -0.\n",
      "  0.     1.507 -0.975 -0.     0.     0.606  0.    -0.    -0.     0.\n",
      " -0.     0.     0.    -0.    -0.    -0.     0.     1.062  0.     0.\n",
      "  0.     0.719  0.     0.     0.     0.     0.    -0.793 -0.    -0.\n",
      " -0.     0.     0.    -0.     0.     0.    -0.     1.048 -0.    -0.373\n",
      " -0.     0.432  0.487 -0.625  0.644  0.     0.094 -0.     0.     0.\n",
      " -0.    -0.078  0.026 -0.    -0.     0.141 -0.    -0.     0.    -0.\n",
      "  0.     0.    -1.233 -0.301  1.074  0.642  0.     0.     0.    -0.\n",
      " -0.    -0.    -0.    -0.     0.    -0.    -0.     0.     0.     0.\n",
      "  0.    -0.635 -0.193 -0.    -0.    -0.    -0.     0.     0.032  0.758\n",
      "  1.21  -0.    -0.     0.    -0.     0.     0.997 -0.     0.     2.547\n",
      "  0.461 -0.     0.     0.    -0.     0.276 -0.     0.     0.     0.317\n",
      " -0.005  0.    -0.     0.467  0.    -0.    -0.077  0.    -0.     0.   ].\n",
      "收敛容限tol=1e-05条件下, 利用PG算法求解的最终结果为(结果保留3位小数)\n",
      "[-4.000e-02 -4.300e-02 -1.000e-03  2.200e-02  2.500e-02 -2.700e-02\n",
      " -7.600e-02 -0.000e+00  5.800e-02 -5.900e-02 -3.200e-02 -4.600e-02\n",
      " -4.000e-03  7.000e-03  1.006e+00  6.870e-01  1.018e+00 -9.700e-02\n",
      "  1.600e-02  6.580e-01  2.000e-03  6.460e-01  7.500e-01  7.760e-01\n",
      "  8.140e-01  4.400e-02 -1.010e-01  8.830e-01  1.900e-02  6.600e-01\n",
      " -6.400e-02 -1.500e-02  7.340e-01  8.660e-01  3.300e-02  7.500e-01\n",
      " -5.400e-02  7.130e-01 -7.000e-03  8.140e-01 -2.000e-02  1.023e+00\n",
      "  3.600e-02  8.220e-01  2.600e-02  7.100e-02  9.620e-01  7.530e-01\n",
      "  2.400e-02  1.300e-02  1.000e-03  7.340e-01  3.400e-02  3.700e-02\n",
      " -1.010e-01 -3.300e-02  8.330e-01  8.260e-01  5.500e-02 -1.600e-02\n",
      " -1.800e-02  6.730e-01  6.870e-01  3.100e-02 -1.090e-01 -7.400e-02\n",
      "  6.600e-02  9.120e-01  6.940e-01  7.650e-01  7.360e-01 -0.000e+00\n",
      "  4.400e-02  2.400e-02 -9.000e-03  6.060e-01  5.780e-01  3.200e-02\n",
      " -4.200e-02  7.520e-01 -6.900e-02  9.340e-01  8.610e-01  7.900e-02\n",
      "  9.100e-02 -6.400e-02  8.600e-02 -1.700e-02  6.710e-01  1.270e-01\n",
      "  7.190e-01  4.000e-03  0.000e+00  7.750e-01  1.600e-02  8.210e-01\n",
      "  2.900e-02 -1.100e-02 -3.100e-02 -6.300e-02 -1.400e-02  8.800e-01\n",
      " -2.500e-02 -3.200e-02  2.000e-02  5.000e-02 -2.500e-02  9.500e-02\n",
      "  5.840e-01  8.750e-01  9.170e-01 -4.300e-02 -8.000e-03  2.700e-02\n",
      " -5.500e-02  9.810e-01 -5.900e-02  1.170e-01  7.560e-01  9.890e-01\n",
      " -6.300e-02 -2.300e-02  6.620e-01 -5.100e-02 -1.000e-03  9.310e-01\n",
      "  8.600e-01 -4.600e-02 -3.900e-02  8.110e-01  9.650e-01  2.300e-02\n",
      "  0.000e+00 -3.100e-02 -5.000e-03  6.320e-01  8.000e-01  1.900e-02\n",
      " -1.000e-02  7.830e-01  2.000e-02 -2.700e-02 -8.900e-02  6.850e-01\n",
      " -1.340e-01 -3.600e-02 -2.000e-03 -2.100e-02 -1.500e-02  6.800e-01\n",
      " -1.900e-02  1.600e-02  9.000e-02 -2.000e-02  6.100e-02 -8.600e-02\n",
      "  5.000e-03  7.070e-01  6.320e-01 -0.000e+00  3.000e-03 -7.000e-03\n",
      "  7.030e-01  6.900e-02  6.600e-02 -5.700e-02  8.900e-01 -4.500e-02\n",
      "  8.350e-01  6.630e-01 -6.200e-02  8.100e-02  9.420e-01 -6.700e-02\n",
      "  7.400e-02  1.700e-02 -4.000e-02  2.200e-02 -1.520e-01  3.100e-02\n",
      "  7.000e-03 -6.000e-02 -4.000e-03 -2.000e-03  2.700e-02  1.009e+00\n",
      " -2.800e-02  5.660e-01  1.200e-02 -5.200e-02  4.200e-02 -3.000e-02\n",
      "  6.000e-03 -3.300e-02 -2.900e-02  6.380e-01  3.900e-02 -6.000e-03\n",
      "  6.570e-01 -2.800e-02  1.028e+00 -1.500e-02 -4.200e-02  8.090e-01\n",
      " -7.000e-03 -2.800e-02  8.530e-01  7.640e-01  8.190e-01  8.810e-01\n",
      "  9.040e-01  5.000e-02 -8.000e-03  6.890e-01  8.160e-01  1.900e-02\n",
      "  2.100e-02 -1.000e-03  7.330e-01  7.400e-01 -7.900e-02 -8.000e-03\n",
      "  4.500e-02  8.400e-01  1.900e-02  4.400e-02  3.400e-02 -4.300e-02\n",
      "  1.800e-02  7.000e-03 -4.100e-02 -2.200e-02 -8.100e-02  9.590e-01\n",
      "  6.430e-01  3.300e-02  0.000e+00  9.560e-01 -3.300e-02 -6.300e-02\n",
      "  1.400e-02  9.540e-01  6.300e-01  1.100e-02  7.700e-02 -7.000e-03\n",
      " -0.000e+00  8.080e-01  6.430e-01  8.750e-01  5.500e-02  2.200e-02\n",
      "  9.990e-01  1.900e-02 -5.600e-02 -4.100e-02 -6.000e-03  7.020e-01\n",
      "  9.510e-01  9.820e-01  9.990e-01  8.660e-01  3.000e-03  9.080e-01\n",
      "  2.100e-02 -2.000e-02  5.800e-02  6.550e-01 -4.500e-02 -6.700e-02\n",
      "  2.900e-02 -2.700e-02  7.460e-01  2.500e-02  3.200e-02 -1.400e-02\n",
      "  8.440e-01 -7.500e-02  6.130e-01 -8.000e-03  7.140e-01  7.370e-01\n",
      " -6.300e-02 -8.400e-02  5.000e-02 -2.600e-02 -2.500e-02  7.430e-01\n",
      "  7.430e-01  2.200e-02  9.330e-01  7.880e-01  3.500e-02  5.930e-01\n",
      "  3.200e-02  8.190e-01 -1.700e-02  4.700e-02  6.560e-01 -7.700e-02\n",
      "  8.000e-02 -3.900e-02 -5.600e-02  4.600e-02 -5.100e-02  9.310e-01\n",
      " -9.000e-03 -5.800e-02  7.550e-01  2.300e-02  5.740e-01  2.500e-02\n",
      "  6.430e-01  8.560e-01 -2.000e-03  4.100e-02  8.090e-01  6.660e-01\n",
      "  3.000e-02 -6.400e-02  7.290e-01  6.340e-01  9.290e-01 -4.700e-02\n",
      "  3.300e-02 -3.600e-02  2.600e-02  8.710e-01  3.000e-03  4.700e-02\n",
      "  1.300e-02  6.250e-01  2.000e-03 -2.400e-02  1.900e-02 -1.700e-02\n",
      "  6.610e-01  1.031e+00 -7.000e-03  3.800e-02  1.023e+00  7.950e-01\n",
      "  8.500e-02  7.460e-01  1.040e-01 -4.000e-02  9.860e-01  5.000e-03\n",
      "  3.900e-02  9.450e-01  1.037e+00 -9.800e-02  7.910e-01  1.100e-02\n",
      "  9.470e-01  5.000e-02  8.070e-01  8.640e-01  8.270e-01  2.400e-02\n",
      " -3.900e-02  9.800e-01  6.540e-01 -3.400e-02 -4.400e-02 -6.300e-02\n",
      " -4.500e-02 -1.080e-01  0.000e+00 -4.000e-03  1.600e-02  3.400e-02\n",
      "  8.010e-01 -1.900e-02 -4.300e-02 -5.000e-02 -6.100e-02 -1.500e-02\n",
      "  2.500e-02  7.300e-02  7.890e-01  7.460e-01  7.610e-01  9.100e-01\n",
      "  9.070e-01  8.140e-01  1.003e+00 -3.900e-02  7.090e-01  7.260e-01\n",
      "  8.140e-01  4.000e-02 -6.500e-02  2.400e-02  7.350e-01 -3.000e-02\n",
      "  9.350e-01 -5.800e-02 -5.100e-02  2.500e-02  0.000e+00  5.900e-02\n",
      "  3.600e-02  9.390e-01  8.000e-03  9.160e-01  8.240e-01 -2.700e-02\n",
      "  8.850e-01  6.540e-01 -4.300e-02  6.750e-01 -8.900e-02  1.001e+00\n",
      " -3.500e-02  6.460e-01 -2.000e-02  9.060e-01  0.000e+00  6.900e-01\n",
      "  5.870e-01  6.120e-01 -7.700e-02  7.980e-01 -4.800e-02  7.300e-01\n",
      "  5.260e-01  7.660e-01  6.950e-01  6.780e-01  1.004e+00 -4.900e-02\n",
      "  1.700e-02  1.038e+00  8.000e-03  5.670e-01 -7.100e-02 -8.000e-03\n",
      "  1.300e-02  7.000e-03  2.000e-02  1.170e-01  6.630e-01  3.300e-02\n",
      "  8.510e-01 -4.400e-02 -5.000e-02  8.430e-01  8.000e-03  8.810e-01\n",
      " -6.000e-02  7.600e-02  6.890e-01  6.250e-01  6.360e-01  9.110e-01\n",
      "  8.900e-02 -9.000e-03  3.000e-02  8.870e-01  8.000e-03  7.430e-01\n",
      "  7.710e-01  8.380e-01  9.190e-01  7.510e-01  9.600e-01  3.500e-02\n",
      " -1.600e-02  9.320e-01  8.140e-01 -4.000e-02  1.700e-02 -5.200e-02\n",
      "  6.720e-01  8.920e-01  3.600e-02 -1.700e-02  8.820e-01  8.650e-01\n",
      " -6.000e-03  7.340e-01  8.250e-01  6.000e-02  8.000e-02 -1.000e-03\n",
      "  3.600e-02  1.004e+00 -2.600e-02 -2.900e-02 -2.700e-02 -3.800e-02\n",
      "  6.090e-01  5.000e-03 -5.000e-03  1.100e-02  8.300e-02  8.310e-01\n",
      " -4.100e-02  8.220e-01].\n",
      "收敛容限tol=1e-05条件下, 利用APG算法求解的最终结果为(结果保留3位小数)\n",
      "[-4.000e-02 -4.300e-02 -1.000e-03  2.200e-02  2.500e-02 -2.700e-02\n",
      " -7.600e-02 -0.000e+00  5.800e-02 -5.900e-02 -3.200e-02 -4.600e-02\n",
      " -4.000e-03  7.000e-03  1.006e+00  6.870e-01  1.018e+00 -9.700e-02\n",
      "  1.600e-02  6.580e-01  2.000e-03  6.460e-01  7.500e-01  7.760e-01\n",
      "  8.140e-01  4.400e-02 -1.010e-01  8.830e-01  1.900e-02  6.600e-01\n",
      " -6.400e-02 -1.500e-02  7.340e-01  8.660e-01  3.300e-02  7.500e-01\n",
      " -5.400e-02  7.130e-01 -7.000e-03  8.140e-01 -2.000e-02  1.023e+00\n",
      "  3.600e-02  8.220e-01  2.600e-02  7.100e-02  9.620e-01  7.530e-01\n",
      "  2.400e-02  1.300e-02  1.000e-03  7.340e-01  3.400e-02  3.700e-02\n",
      " -1.010e-01 -3.300e-02  8.330e-01  8.260e-01  5.500e-02 -1.600e-02\n",
      " -1.800e-02  6.730e-01  6.870e-01  3.100e-02 -1.090e-01 -7.400e-02\n",
      "  6.600e-02  9.120e-01  6.940e-01  7.650e-01  7.360e-01 -0.000e+00\n",
      "  4.400e-02  2.400e-02 -9.000e-03  6.060e-01  5.780e-01  3.200e-02\n",
      " -4.200e-02  7.520e-01 -6.900e-02  9.340e-01  8.610e-01  7.900e-02\n",
      "  9.100e-02 -6.400e-02  8.600e-02 -1.700e-02  6.710e-01  1.270e-01\n",
      "  7.190e-01  4.000e-03  0.000e+00  7.750e-01  1.600e-02  8.210e-01\n",
      "  2.900e-02 -1.100e-02 -3.100e-02 -6.300e-02 -1.400e-02  8.800e-01\n",
      " -2.500e-02 -3.200e-02  2.000e-02  5.000e-02 -2.500e-02  9.500e-02\n",
      "  5.840e-01  8.750e-01  9.170e-01 -4.300e-02 -8.000e-03  2.700e-02\n",
      " -5.500e-02  9.810e-01 -5.900e-02  1.170e-01  7.560e-01  9.890e-01\n",
      " -6.300e-02 -2.300e-02  6.620e-01 -5.100e-02 -1.000e-03  9.310e-01\n",
      "  8.600e-01 -4.600e-02 -3.900e-02  8.110e-01  9.650e-01  2.300e-02\n",
      "  0.000e+00 -3.100e-02 -5.000e-03  6.320e-01  8.000e-01  1.900e-02\n",
      " -1.000e-02  7.830e-01  2.000e-02 -2.700e-02 -8.900e-02  6.850e-01\n",
      " -1.340e-01 -3.600e-02 -2.000e-03 -2.100e-02 -1.500e-02  6.800e-01\n",
      " -1.900e-02  1.600e-02  9.000e-02 -2.000e-02  6.100e-02 -8.600e-02\n",
      "  5.000e-03  7.070e-01  6.320e-01 -0.000e+00  3.000e-03 -7.000e-03\n",
      "  7.030e-01  6.900e-02  6.600e-02 -5.700e-02  8.900e-01 -4.500e-02\n",
      "  8.350e-01  6.630e-01 -6.200e-02  8.100e-02  9.420e-01 -6.700e-02\n",
      "  7.400e-02  1.700e-02 -4.000e-02  2.200e-02 -1.520e-01  3.100e-02\n",
      "  7.000e-03 -6.000e-02 -4.000e-03 -2.000e-03  2.700e-02  1.009e+00\n",
      " -2.800e-02  5.660e-01  1.200e-02 -5.200e-02  4.200e-02 -3.000e-02\n",
      "  6.000e-03 -3.300e-02 -2.900e-02  6.380e-01  3.900e-02 -6.000e-03\n",
      "  6.570e-01 -2.800e-02  1.028e+00 -1.500e-02 -4.200e-02  8.090e-01\n",
      " -7.000e-03 -2.800e-02  8.530e-01  7.640e-01  8.190e-01  8.810e-01\n",
      "  9.040e-01  5.000e-02 -8.000e-03  6.890e-01  8.160e-01  1.900e-02\n",
      "  2.100e-02 -1.000e-03  7.330e-01  7.400e-01 -7.900e-02 -8.000e-03\n",
      "  4.500e-02  8.400e-01  1.900e-02  4.400e-02  3.400e-02 -4.300e-02\n",
      "  1.800e-02  7.000e-03 -4.100e-02 -2.200e-02 -8.100e-02  9.590e-01\n",
      "  6.430e-01  3.300e-02  0.000e+00  9.560e-01 -3.300e-02 -6.300e-02\n",
      "  1.400e-02  9.540e-01  6.300e-01  1.100e-02  7.700e-02 -7.000e-03\n",
      " -0.000e+00  8.080e-01  6.430e-01  8.750e-01  5.500e-02  2.200e-02\n",
      "  9.990e-01  1.900e-02 -5.600e-02 -4.100e-02 -6.000e-03  7.020e-01\n",
      "  9.510e-01  9.820e-01  9.990e-01  8.660e-01  3.000e-03  9.080e-01\n",
      "  2.100e-02 -2.000e-02  5.800e-02  6.550e-01 -4.500e-02 -6.700e-02\n",
      "  2.900e-02 -2.700e-02  7.460e-01  2.500e-02  3.200e-02 -1.400e-02\n",
      "  8.440e-01 -7.500e-02  6.130e-01 -8.000e-03  7.140e-01  7.370e-01\n",
      " -6.300e-02 -8.400e-02  5.000e-02 -2.600e-02 -2.500e-02  7.430e-01\n",
      "  7.430e-01  2.200e-02  9.330e-01  7.880e-01  3.500e-02  5.930e-01\n",
      "  3.200e-02  8.190e-01 -1.700e-02  4.700e-02  6.560e-01 -7.700e-02\n",
      "  8.000e-02 -3.900e-02 -5.600e-02  4.600e-02 -5.100e-02  9.310e-01\n",
      " -9.000e-03 -5.800e-02  7.550e-01  2.300e-02  5.740e-01  2.500e-02\n",
      "  6.430e-01  8.560e-01 -2.000e-03  4.100e-02  8.090e-01  6.660e-01\n",
      "  3.000e-02 -6.400e-02  7.290e-01  6.340e-01  9.290e-01 -4.700e-02\n",
      "  3.300e-02 -3.600e-02  2.600e-02  8.710e-01  3.000e-03  4.700e-02\n",
      "  1.300e-02  6.250e-01  2.000e-03 -2.400e-02  1.900e-02 -1.700e-02\n",
      "  6.610e-01  1.031e+00 -7.000e-03  3.800e-02  1.023e+00  7.950e-01\n",
      "  8.500e-02  7.460e-01  1.040e-01 -4.000e-02  9.860e-01  5.000e-03\n",
      "  3.900e-02  9.450e-01  1.037e+00 -9.800e-02  7.910e-01  1.100e-02\n",
      "  9.470e-01  5.000e-02  8.070e-01  8.640e-01  8.270e-01  2.400e-02\n",
      " -3.900e-02  9.800e-01  6.540e-01 -3.400e-02 -4.400e-02 -6.300e-02\n",
      " -4.500e-02 -1.080e-01  0.000e+00 -4.000e-03  1.600e-02  3.400e-02\n",
      "  8.010e-01 -1.900e-02 -4.300e-02 -5.000e-02 -6.100e-02 -1.500e-02\n",
      "  2.500e-02  7.300e-02  7.890e-01  7.460e-01  7.610e-01  9.100e-01\n",
      "  9.070e-01  8.140e-01  1.003e+00 -3.900e-02  7.090e-01  7.260e-01\n",
      "  8.140e-01  4.000e-02 -6.500e-02  2.400e-02  7.350e-01 -3.000e-02\n",
      "  9.350e-01 -5.800e-02 -5.100e-02  2.500e-02  0.000e+00  5.900e-02\n",
      "  3.600e-02  9.390e-01  8.000e-03  9.160e-01  8.240e-01 -2.700e-02\n",
      "  8.850e-01  6.540e-01 -4.300e-02  6.750e-01 -8.900e-02  1.001e+00\n",
      " -3.500e-02  6.460e-01 -2.000e-02  9.060e-01  0.000e+00  6.900e-01\n",
      "  5.870e-01  6.120e-01 -7.700e-02  7.980e-01 -4.800e-02  7.300e-01\n",
      "  5.260e-01  7.660e-01  6.950e-01  6.780e-01  1.004e+00 -4.900e-02\n",
      "  1.700e-02  1.038e+00  8.000e-03  5.670e-01 -7.100e-02 -8.000e-03\n",
      "  1.300e-02  7.000e-03  2.000e-02  1.170e-01  6.630e-01  3.300e-02\n",
      "  8.510e-01 -4.400e-02 -5.000e-02  8.430e-01  8.000e-03  8.810e-01\n",
      " -6.000e-02  7.600e-02  6.890e-01  6.250e-01  6.360e-01  9.110e-01\n",
      "  8.900e-02 -9.000e-03  3.000e-02  8.870e-01  8.000e-03  7.430e-01\n",
      "  7.710e-01  8.380e-01  9.190e-01  7.510e-01  9.600e-01  3.500e-02\n",
      " -1.600e-02  9.320e-01  8.140e-01 -4.000e-02  1.700e-02 -5.200e-02\n",
      "  6.720e-01  8.920e-01  3.600e-02 -1.700e-02  8.820e-01  8.650e-01\n",
      " -6.000e-03  7.340e-01  8.250e-01  6.000e-02  8.000e-02 -1.000e-03\n",
      "  3.600e-02  1.004e+00 -2.600e-02 -2.900e-02 -2.700e-02 -3.800e-02\n",
      "  6.090e-01  5.000e-03 -5.000e-03  1.100e-02  8.300e-02  8.310e-01\n",
      " -4.100e-02  8.220e-01].\n",
      "收敛容限tol=1e-05条件下, 利用ADMM算法求解的最终结果为(结果保留3位小数)\n",
      "[-4.000e-02 -4.300e-02 -1.000e-03  2.200e-02  2.500e-02 -2.700e-02\n",
      " -7.600e-02 -0.000e+00  5.800e-02 -5.900e-02 -3.200e-02 -4.600e-02\n",
      " -4.000e-03  7.000e-03  1.006e+00  6.870e-01  1.018e+00 -9.700e-02\n",
      "  1.600e-02  6.580e-01  2.000e-03  6.460e-01  7.500e-01  7.760e-01\n",
      "  8.140e-01  4.400e-02 -1.010e-01  8.830e-01  1.900e-02  6.600e-01\n",
      " -6.400e-02 -1.500e-02  7.340e-01  8.660e-01  3.300e-02  7.500e-01\n",
      " -5.400e-02  7.130e-01 -7.000e-03  8.140e-01 -2.000e-02  1.023e+00\n",
      "  3.600e-02  8.220e-01  2.600e-02  7.100e-02  9.620e-01  7.530e-01\n",
      "  2.400e-02  1.300e-02  1.000e-03  7.340e-01  3.400e-02  3.700e-02\n",
      " -1.010e-01 -3.300e-02  8.330e-01  8.260e-01  5.500e-02 -1.600e-02\n",
      " -1.800e-02  6.730e-01  6.870e-01  3.100e-02 -1.090e-01 -7.400e-02\n",
      "  6.600e-02  9.120e-01  6.940e-01  7.650e-01  7.360e-01 -0.000e+00\n",
      "  4.400e-02  2.400e-02 -9.000e-03  6.060e-01  5.780e-01  3.200e-02\n",
      " -4.200e-02  7.520e-01 -6.900e-02  9.340e-01  8.610e-01  7.900e-02\n",
      "  9.100e-02 -6.400e-02  8.600e-02 -1.700e-02  6.710e-01  1.270e-01\n",
      "  7.190e-01  4.000e-03  0.000e+00  7.750e-01  1.600e-02  8.210e-01\n",
      "  2.900e-02 -1.100e-02 -3.100e-02 -6.300e-02 -1.400e-02  8.800e-01\n",
      " -2.500e-02 -3.200e-02  2.000e-02  5.000e-02 -2.500e-02  9.500e-02\n",
      "  5.840e-01  8.750e-01  9.170e-01 -4.300e-02 -8.000e-03  2.700e-02\n",
      " -5.500e-02  9.810e-01 -5.900e-02  1.170e-01  7.560e-01  9.890e-01\n",
      " -6.300e-02 -2.300e-02  6.620e-01 -5.100e-02 -1.000e-03  9.310e-01\n",
      "  8.600e-01 -4.600e-02 -3.900e-02  8.110e-01  9.650e-01  2.300e-02\n",
      "  0.000e+00 -3.100e-02 -5.000e-03  6.320e-01  8.000e-01  1.900e-02\n",
      " -1.000e-02  7.830e-01  2.000e-02 -2.700e-02 -8.900e-02  6.850e-01\n",
      " -1.340e-01 -3.600e-02 -2.000e-03 -2.100e-02 -1.500e-02  6.800e-01\n",
      " -1.900e-02  1.600e-02  9.000e-02 -2.000e-02  6.100e-02 -8.600e-02\n",
      "  5.000e-03  7.070e-01  6.320e-01 -0.000e+00  3.000e-03 -7.000e-03\n",
      "  7.030e-01  6.900e-02  6.600e-02 -5.700e-02  8.900e-01 -4.500e-02\n",
      "  8.350e-01  6.630e-01 -6.200e-02  8.100e-02  9.420e-01 -6.700e-02\n",
      "  7.400e-02  1.700e-02 -4.000e-02  2.200e-02 -1.520e-01  3.100e-02\n",
      "  7.000e-03 -6.000e-02 -4.000e-03 -2.000e-03  2.700e-02  1.009e+00\n",
      " -2.800e-02  5.660e-01  1.200e-02 -5.200e-02  4.200e-02 -3.000e-02\n",
      "  6.000e-03 -3.300e-02 -2.900e-02  6.380e-01  3.900e-02 -6.000e-03\n",
      "  6.570e-01 -2.800e-02  1.028e+00 -1.500e-02 -4.200e-02  8.090e-01\n",
      " -7.000e-03 -2.800e-02  8.530e-01  7.640e-01  8.190e-01  8.810e-01\n",
      "  9.040e-01  5.000e-02 -8.000e-03  6.890e-01  8.160e-01  1.900e-02\n",
      "  2.100e-02 -1.000e-03  7.330e-01  7.400e-01 -7.900e-02 -8.000e-03\n",
      "  4.500e-02  8.410e-01  1.900e-02  4.400e-02  3.400e-02 -4.300e-02\n",
      "  1.800e-02  7.000e-03 -4.100e-02 -2.200e-02 -8.100e-02  9.590e-01\n",
      "  6.430e-01  3.300e-02  0.000e+00  9.560e-01 -3.300e-02 -6.300e-02\n",
      "  1.400e-02  9.540e-01  6.300e-01  1.100e-02  7.700e-02 -7.000e-03\n",
      " -0.000e+00  8.080e-01  6.430e-01  8.750e-01  5.500e-02  2.200e-02\n",
      "  9.990e-01  1.900e-02 -5.600e-02 -4.100e-02 -6.000e-03  7.020e-01\n",
      "  9.510e-01  9.820e-01  9.990e-01  8.660e-01  3.000e-03  9.080e-01\n",
      "  2.100e-02 -2.000e-02  5.800e-02  6.550e-01 -4.500e-02 -6.700e-02\n",
      "  2.900e-02 -2.700e-02  7.460e-01  2.500e-02  3.200e-02 -1.400e-02\n",
      "  8.440e-01 -7.500e-02  6.130e-01 -8.000e-03  7.140e-01  7.370e-01\n",
      " -6.300e-02 -8.400e-02  5.000e-02 -2.600e-02 -2.500e-02  7.430e-01\n",
      "  7.430e-01  2.200e-02  9.330e-01  7.880e-01  3.500e-02  5.930e-01\n",
      "  3.200e-02  8.190e-01 -1.700e-02  4.700e-02  6.560e-01 -7.700e-02\n",
      "  8.000e-02 -3.900e-02 -5.600e-02  4.600e-02 -5.100e-02  9.310e-01\n",
      " -9.000e-03 -5.800e-02  7.550e-01  2.300e-02  5.740e-01  2.500e-02\n",
      "  6.430e-01  8.560e-01 -2.000e-03  4.100e-02  8.090e-01  6.660e-01\n",
      "  3.000e-02 -6.400e-02  7.290e-01  6.340e-01  9.290e-01 -4.700e-02\n",
      "  3.300e-02 -3.600e-02  2.600e-02  8.710e-01  3.000e-03  4.700e-02\n",
      "  1.300e-02  6.250e-01  2.000e-03 -2.400e-02  1.900e-02 -1.700e-02\n",
      "  6.610e-01  1.031e+00 -7.000e-03  3.800e-02  1.023e+00  7.950e-01\n",
      "  8.500e-02  7.460e-01  1.040e-01 -4.000e-02  9.860e-01  5.000e-03\n",
      "  3.900e-02  9.450e-01  1.037e+00 -9.800e-02  7.910e-01  1.100e-02\n",
      "  9.470e-01  5.000e-02  8.070e-01  8.640e-01  8.270e-01  2.400e-02\n",
      " -3.900e-02  9.800e-01  6.540e-01 -3.400e-02 -4.400e-02 -6.300e-02\n",
      " -4.500e-02 -1.080e-01  0.000e+00 -4.000e-03  1.600e-02  3.400e-02\n",
      "  8.010e-01 -1.900e-02 -4.300e-02 -5.000e-02 -6.100e-02 -1.500e-02\n",
      "  2.500e-02  7.300e-02  7.890e-01  7.460e-01  7.610e-01  9.100e-01\n",
      "  9.070e-01  8.140e-01  1.003e+00 -3.900e-02  7.090e-01  7.260e-01\n",
      "  8.140e-01  4.000e-02 -6.500e-02  2.400e-02  7.350e-01 -3.000e-02\n",
      "  9.350e-01 -5.800e-02 -5.100e-02  2.500e-02  0.000e+00  5.900e-02\n",
      "  3.600e-02  9.390e-01  8.000e-03  9.160e-01  8.240e-01 -2.700e-02\n",
      "  8.850e-01  6.530e-01 -4.300e-02  6.750e-01 -8.900e-02  1.001e+00\n",
      " -3.500e-02  6.460e-01 -2.000e-02  9.060e-01  0.000e+00  6.900e-01\n",
      "  5.870e-01  6.120e-01 -7.700e-02  7.980e-01 -4.800e-02  7.300e-01\n",
      "  5.260e-01  7.660e-01  6.950e-01  6.780e-01  1.004e+00 -4.900e-02\n",
      "  1.700e-02  1.038e+00  8.000e-03  5.670e-01 -7.100e-02 -8.000e-03\n",
      "  1.300e-02  7.000e-03  2.000e-02  1.170e-01  6.630e-01  3.300e-02\n",
      "  8.510e-01 -4.400e-02 -5.000e-02  8.430e-01  8.000e-03  8.810e-01\n",
      " -6.000e-02  7.600e-02  6.890e-01  6.250e-01  6.360e-01  9.110e-01\n",
      "  8.900e-02 -8.000e-03  3.000e-02  8.870e-01  8.000e-03  7.430e-01\n",
      "  7.710e-01  8.380e-01  9.190e-01  7.510e-01  9.600e-01  3.500e-02\n",
      " -1.600e-02  9.320e-01  8.140e-01 -4.000e-02  1.700e-02 -5.200e-02\n",
      "  6.720e-01  8.920e-01  3.600e-02 -1.700e-02  8.820e-01  8.650e-01\n",
      " -6.000e-03  7.340e-01  8.250e-01  6.000e-02  8.000e-02 -1.000e-03\n",
      "  3.600e-02  1.004e+00 -2.600e-02 -2.900e-02 -2.700e-02 -3.800e-02\n",
      "  6.090e-01  5.000e-03 -5.000e-03  1.100e-02  8.300e-02  8.310e-01\n",
      " -4.100e-02  8.220e-01].\n",
      "收敛容限tol=1e-05条件下, 利用PG算法求解的最终结果为(结果保留3位小数)\n",
      "[ 1.300e-02  6.190e-01  9.000e-03  2.700e-02  8.440e-01 -3.000e-03\n",
      "  7.890e-01  7.450e-01  8.000e-03  1.600e-02  6.100e-01  9.540e-01\n",
      "  8.040e-01  6.860e-01  9.460e-01  7.960e-01  1.100e-02  8.080e-01\n",
      " -1.500e-02 -3.000e-03 -1.600e-02  8.690e-01 -3.000e-03 -1.200e-02\n",
      "  9.560e-01  7.390e-01  7.090e-01  7.230e-01  4.000e-03  6.170e-01\n",
      "  6.000e-03 -3.000e-02 -1.000e-03 -1.500e-02  3.000e-03  8.290e-01\n",
      "  1.003e+00  7.220e-01 -0.000e+00  9.000e-03 -1.800e-02  0.000e+00\n",
      "  7.560e-01  1.400e-02  7.650e-01  9.000e-03  7.860e-01  2.000e-02\n",
      "  6.000e-03  6.000e-03  9.590e-01  1.800e-02 -1.300e-02 -8.000e-03\n",
      "  6.000e-03 -1.000e-02  9.220e-01  1.500e-02 -1.800e-02  9.190e-01\n",
      "  5.860e-01  1.300e-02  1.600e-02 -1.300e-02  9.700e-01  8.000e-03\n",
      "  7.710e-01  6.030e-01  1.000e-03  6.790e-01  9.930e-01  8.840e-01\n",
      "  7.000e-03  1.100e-02 -1.000e-03  7.650e-01 -2.000e-03  7.000e-03\n",
      "  7.980e-01  6.470e-01 -4.000e-03  6.930e-01  6.790e-01 -7.000e-03\n",
      " -1.400e-02 -1.300e-02  8.750e-01  6.000e-03  8.180e-01 -1.000e-03\n",
      " -1.600e-02  6.860e-01  6.340e-01  9.570e-01 -3.000e-03  0.000e+00\n",
      "  9.270e-01  6.850e-01 -1.200e-02  7.160e-01 -3.000e-03 -5.000e-03\n",
      "  1.000e-02  8.280e-01  1.300e-02  6.270e-01  8.110e-01 -5.000e-03\n",
      "  6.410e-01  9.410e-01 -5.000e-03  1.800e-02  1.200e-02  8.720e-01\n",
      "  9.000e-01  7.140e-01  2.100e-02  6.630e-01 -1.000e-02  1.100e-02\n",
      "  6.000e-03  7.770e-01  7.690e-01  1.500e-02  1.900e-02  8.000e-03\n",
      " -5.000e-03  1.000e-02  8.410e-01  4.000e-03 -4.000e-03  6.390e-01\n",
      "  7.890e-01 -9.000e-03 -4.000e-03  6.730e-01 -1.000e-02  1.100e-02\n",
      "  8.690e-01  6.690e-01 -1.100e-02  9.590e-01  5.000e-03 -5.000e-03\n",
      " -4.000e-03 -0.000e+00 -1.100e-02  9.480e-01 -6.000e-03 -6.000e-03\n",
      "  8.460e-01 -1.000e-03  6.660e-01  1.500e-02  1.400e-02  1.000e-03\n",
      "  7.990e-01  1.500e-02  9.980e-01 -1.500e-02  1.000e-02 -4.000e-03\n",
      " -1.200e-02  6.900e-01  6.230e-01 -5.000e-03  7.000e-03  1.006e+00\n",
      "  6.510e-01  1.300e-02  2.000e-03 -6.000e-03  7.730e-01  2.600e-02\n",
      "  1.100e-02 -5.000e-03 -0.000e+00 -1.000e-02  1.300e-02 -0.000e+00\n",
      " -1.300e-02 -2.000e-03  1.100e-02 -8.000e-03 -1.300e-02 -0.000e+00\n",
      "  5.000e-03 -6.000e-03  9.470e-01 -7.000e-03  9.150e-01 -6.000e-03\n",
      " -0.000e+00  8.150e-01 -2.200e-02 -4.000e-03 -2.100e-02  7.000e-03\n",
      "  7.000e-03  6.710e-01  1.400e-02  8.350e-01  8.640e-01 -2.100e-02\n",
      "  7.000e-03 -1.600e-02  7.430e-01 -1.300e-02  6.860e-01  7.550e-01\n",
      "  6.520e-01  8.820e-01  8.340e-01 -1.000e-03 -4.000e-03 -7.000e-03\n",
      "  8.760e-01  7.460e-01  5.000e-03  8.790e-01  1.100e-02 -7.000e-03\n",
      "  6.330e-01  7.950e-01  1.000e-03 -1.000e-02 -3.000e-03  2.100e-02\n",
      "  6.680e-01  1.000e-03  2.000e-03  7.590e-01 -3.000e-03 -2.000e-03\n",
      " -1.100e-02  6.120e-01 -2.000e-03 -2.900e-02 -9.000e-03  6.260e-01\n",
      "  8.630e-01 -2.500e-02  8.000e-03  7.000e-03  8.070e-01  7.000e-03\n",
      " -2.000e-03  7.840e-01  6.680e-01  9.340e-01  3.000e-03 -2.000e-02\n",
      "  7.590e-01 -9.000e-03  8.000e-03  6.910e-01  9.430e-01  8.760e-01\n",
      " -3.000e-03  6.960e-01 -1.400e-02 -7.000e-03  9.370e-01 -8.000e-03\n",
      "  6.300e-01 -0.000e+00  9.000e-03  6.270e-01 -1.300e-02 -1.400e-02\n",
      "  9.550e-01  7.260e-01 -5.000e-03 -6.000e-03  8.090e-01  6.870e-01\n",
      "  1.000e-02  7.000e-03  6.570e-01 -8.000e-03  9.000e-01 -0.000e+00\n",
      "  9.840e-01 -2.500e-02  1.100e-02  1.500e-02  1.000e-03  1.200e-02\n",
      "  8.860e-01  8.000e-03 -1.500e-02  2.200e-02 -1.000e-02  8.200e-01\n",
      " -7.000e-03 -4.000e-03  1.300e-02  6.000e-03 -8.000e-03  6.140e-01\n",
      "  5.000e-03  8.170e-01  7.000e-03 -5.000e-03  9.230e-01 -7.000e-03\n",
      " -1.200e-02  7.690e-01  6.220e-01 -6.000e-03 -1.100e-02  9.000e-03\n",
      "  1.200e-02  9.140e-01 -9.000e-03  1.000e-03  6.070e-01 -2.000e-03\n",
      "  6.460e-01  8.000e-01 -8.000e-03  7.990e-01  7.270e-01  3.000e-03\n",
      " -1.000e-03 -0.000e+00  8.440e-01  7.510e-01  7.990e-01  1.900e-02\n",
      " -6.000e-03 -2.600e-02  7.100e-01 -7.000e-03 -7.000e-03 -2.500e-02\n",
      " -3.000e-03  1.002e+00 -0.000e+00  6.380e-01  8.740e-01 -1.200e-02\n",
      "  8.050e-01  7.830e-01 -9.000e-03  9.000e-03  6.000e-03  8.980e-01\n",
      "  7.160e-01 -1.900e-02 -1.000e-03 -1.000e-02  6.760e-01  3.000e-03\n",
      " -3.000e-03  8.480e-01  7.270e-01  1.300e-02 -1.000e-02  6.190e-01\n",
      "  2.100e-02 -6.000e-03 -3.000e-03  9.600e-01  7.090e-01  9.840e-01\n",
      " -2.600e-02 -1.000e-03  7.000e-03  8.560e-01  7.100e-01  1.000e-03\n",
      "  6.830e-01  5.000e-03  3.000e-03  4.000e-03  7.880e-01 -1.000e-02\n",
      " -1.000e-02  9.520e-01  6.000e-03  7.400e-01  7.230e-01  5.000e-03\n",
      "  8.850e-01 -4.000e-03 -8.000e-03  9.360e-01 -1.700e-02 -1.000e-03\n",
      "  8.410e-01  8.310e-01  7.540e-01  9.000e-03 -9.000e-03 -1.000e-02\n",
      " -4.200e-02  3.000e-03  7.120e-01  1.500e-02 -6.000e-03  6.230e-01\n",
      "  1.100e-02 -1.000e-03 -1.300e-02  1.100e-02  9.000e-03 -5.000e-03\n",
      " -1.000e-02  6.000e-03  9.500e-01 -4.000e-03 -2.300e-02  7.650e-01\n",
      "  9.000e-03 -1.000e-03  1.300e-02  8.560e-01 -1.600e-02  3.000e-03\n",
      "  6.600e-01  7.210e-01  7.420e-01 -6.000e-03  6.950e-01  6.740e-01\n",
      " -2.000e-02 -9.000e-03  6.160e-01  8.710e-01 -1.300e-02  9.410e-01\n",
      " -2.000e-03  2.400e-02  8.490e-01  8.420e-01  9.370e-01  1.000e-02\n",
      "  9.470e-01  3.000e-03  9.600e-01  9.120e-01  4.000e-03  6.000e-03\n",
      "  8.480e-01 -1.700e-02  6.820e-01  6.710e-01  3.000e-03 -1.700e-02\n",
      "  3.000e-03  1.100e-02 -5.000e-03  9.000e-03  8.380e-01 -1.000e-02\n",
      " -1.000e-03 -1.500e-02  6.270e-01  6.000e-03  8.000e-03  2.000e-03\n",
      "  7.880e-01 -1.800e-02  8.590e-01 -7.000e-03  9.490e-01 -0.000e+00\n",
      " -4.000e-03 -1.500e-02 -3.000e-03  7.400e-01 -0.000e+00 -7.000e-03\n",
      "  4.000e-03  8.000e-03 -1.600e-02  3.000e-03  9.010e-01  1.500e-02\n",
      " -1.000e-03 -1.200e-02  9.040e-01  5.000e-03  6.210e-01  4.000e-03\n",
      "  8.020e-01  9.980e-01  7.560e-01  4.000e-03  8.000e-03 -1.200e-02\n",
      "  6.000e-03  2.000e-03  8.780e-01  1.000e-02  7.770e-01 -2.000e-03\n",
      "  8.000e-03 -6.000e-03].\n",
      "收敛容限tol=1e-05条件下, 利用APG算法求解的最终结果为(结果保留3位小数)\n",
      "[ 1.300e-02  6.190e-01  9.000e-03  2.700e-02  8.440e-01 -3.000e-03\n",
      "  7.890e-01  7.450e-01  8.000e-03  1.600e-02  6.100e-01  9.540e-01\n",
      "  8.040e-01  6.860e-01  9.460e-01  7.960e-01  1.100e-02  8.080e-01\n",
      " -1.500e-02 -3.000e-03 -1.600e-02  8.690e-01 -3.000e-03 -1.200e-02\n",
      "  9.560e-01  7.390e-01  7.090e-01  7.230e-01  4.000e-03  6.170e-01\n",
      "  6.000e-03 -3.000e-02 -1.000e-03 -1.500e-02  3.000e-03  8.290e-01\n",
      "  1.003e+00  7.220e-01 -0.000e+00  9.000e-03 -1.800e-02  0.000e+00\n",
      "  7.560e-01  1.400e-02  7.650e-01  9.000e-03  7.860e-01  2.000e-02\n",
      "  6.000e-03  6.000e-03  9.590e-01  1.800e-02 -1.300e-02 -8.000e-03\n",
      "  6.000e-03 -1.000e-02  9.220e-01  1.500e-02 -1.800e-02  9.190e-01\n",
      "  5.860e-01  1.300e-02  1.600e-02 -1.300e-02  9.700e-01  8.000e-03\n",
      "  7.710e-01  6.030e-01  1.000e-03  6.790e-01  9.930e-01  8.840e-01\n",
      "  7.000e-03  1.100e-02 -1.000e-03  7.650e-01 -2.000e-03  7.000e-03\n",
      "  7.980e-01  6.470e-01 -4.000e-03  6.930e-01  6.790e-01 -7.000e-03\n",
      " -1.400e-02 -1.300e-02  8.750e-01  6.000e-03  8.180e-01 -1.000e-03\n",
      " -1.600e-02  6.860e-01  6.340e-01  9.570e-01 -3.000e-03  0.000e+00\n",
      "  9.270e-01  6.850e-01 -1.200e-02  7.160e-01 -3.000e-03 -5.000e-03\n",
      "  1.000e-02  8.280e-01  1.300e-02  6.270e-01  8.110e-01 -5.000e-03\n",
      "  6.410e-01  9.410e-01 -5.000e-03  1.800e-02  1.200e-02  8.720e-01\n",
      "  9.000e-01  7.140e-01  2.100e-02  6.630e-01 -1.000e-02  1.100e-02\n",
      "  6.000e-03  7.770e-01  7.690e-01  1.500e-02  1.900e-02  8.000e-03\n",
      " -5.000e-03  1.000e-02  8.410e-01  4.000e-03 -4.000e-03  6.390e-01\n",
      "  7.890e-01 -9.000e-03 -4.000e-03  6.730e-01 -1.000e-02  1.100e-02\n",
      "  8.690e-01  6.690e-01 -1.100e-02  9.590e-01  5.000e-03 -5.000e-03\n",
      " -4.000e-03 -0.000e+00 -1.100e-02  9.480e-01 -6.000e-03 -6.000e-03\n",
      "  8.460e-01 -1.000e-03  6.660e-01  1.500e-02  1.400e-02  1.000e-03\n",
      "  7.990e-01  1.500e-02  9.980e-01 -1.500e-02  1.000e-02 -4.000e-03\n",
      " -1.200e-02  6.900e-01  6.230e-01 -5.000e-03  7.000e-03  1.006e+00\n",
      "  6.510e-01  1.300e-02  2.000e-03 -6.000e-03  7.730e-01  2.600e-02\n",
      "  1.100e-02 -5.000e-03 -0.000e+00 -1.000e-02  1.300e-02 -0.000e+00\n",
      " -1.300e-02 -2.000e-03  1.100e-02 -8.000e-03 -1.300e-02 -0.000e+00\n",
      "  5.000e-03 -6.000e-03  9.470e-01 -7.000e-03  9.150e-01 -6.000e-03\n",
      " -0.000e+00  8.150e-01 -2.200e-02 -4.000e-03 -2.100e-02  7.000e-03\n",
      "  7.000e-03  6.710e-01  1.400e-02  8.350e-01  8.640e-01 -2.100e-02\n",
      "  7.000e-03 -1.600e-02  7.430e-01 -1.300e-02  6.860e-01  7.550e-01\n",
      "  6.520e-01  8.820e-01  8.340e-01 -1.000e-03 -4.000e-03 -7.000e-03\n",
      "  8.760e-01  7.460e-01  5.000e-03  8.790e-01  1.100e-02 -7.000e-03\n",
      "  6.330e-01  7.950e-01  1.000e-03 -1.000e-02 -3.000e-03  2.100e-02\n",
      "  6.680e-01  1.000e-03  2.000e-03  7.590e-01 -3.000e-03 -2.000e-03\n",
      " -1.100e-02  6.120e-01 -2.000e-03 -2.900e-02 -9.000e-03  6.260e-01\n",
      "  8.630e-01 -2.500e-02  8.000e-03  7.000e-03  8.070e-01  7.000e-03\n",
      " -2.000e-03  7.840e-01  6.680e-01  9.340e-01  3.000e-03 -2.000e-02\n",
      "  7.590e-01 -9.000e-03  8.000e-03  6.910e-01  9.430e-01  8.760e-01\n",
      " -3.000e-03  6.960e-01 -1.400e-02 -7.000e-03  9.370e-01 -8.000e-03\n",
      "  6.300e-01 -0.000e+00  9.000e-03  6.270e-01 -1.300e-02 -1.400e-02\n",
      "  9.550e-01  7.260e-01 -5.000e-03 -6.000e-03  8.090e-01  6.870e-01\n",
      "  1.000e-02  7.000e-03  6.570e-01 -8.000e-03  9.000e-01 -0.000e+00\n",
      "  9.840e-01 -2.500e-02  1.100e-02  1.500e-02  1.000e-03  1.200e-02\n",
      "  8.860e-01  8.000e-03 -1.500e-02  2.200e-02 -1.000e-02  8.200e-01\n",
      " -7.000e-03 -4.000e-03  1.300e-02  6.000e-03 -8.000e-03  6.140e-01\n",
      "  5.000e-03  8.170e-01  7.000e-03 -5.000e-03  9.230e-01 -7.000e-03\n",
      " -1.200e-02  7.690e-01  6.220e-01 -6.000e-03 -1.100e-02  9.000e-03\n",
      "  1.200e-02  9.140e-01 -9.000e-03  1.000e-03  6.070e-01 -2.000e-03\n",
      "  6.460e-01  8.000e-01 -8.000e-03  7.990e-01  7.270e-01  3.000e-03\n",
      " -1.000e-03 -0.000e+00  8.440e-01  7.510e-01  7.990e-01  1.900e-02\n",
      " -6.000e-03 -2.600e-02  7.100e-01 -7.000e-03 -7.000e-03 -2.500e-02\n",
      " -3.000e-03  1.002e+00 -0.000e+00  6.380e-01  8.740e-01 -1.200e-02\n",
      "  8.050e-01  7.830e-01 -9.000e-03  9.000e-03  6.000e-03  8.980e-01\n",
      "  7.160e-01 -1.900e-02 -1.000e-03 -1.000e-02  6.760e-01  3.000e-03\n",
      " -3.000e-03  8.480e-01  7.270e-01  1.300e-02 -1.000e-02  6.190e-01\n",
      "  2.100e-02 -6.000e-03 -3.000e-03  9.600e-01  7.090e-01  9.840e-01\n",
      " -2.600e-02 -1.000e-03  7.000e-03  8.560e-01  7.100e-01  1.000e-03\n",
      "  6.830e-01  5.000e-03  3.000e-03  4.000e-03  7.880e-01 -1.000e-02\n",
      " -1.000e-02  9.520e-01  6.000e-03  7.400e-01  7.230e-01  5.000e-03\n",
      "  8.850e-01 -4.000e-03 -8.000e-03  9.360e-01 -1.700e-02 -1.000e-03\n",
      "  8.410e-01  8.310e-01  7.540e-01  9.000e-03 -9.000e-03 -1.000e-02\n",
      " -4.200e-02  3.000e-03  7.120e-01  1.500e-02 -6.000e-03  6.230e-01\n",
      "  1.100e-02 -1.000e-03 -1.300e-02  1.100e-02  9.000e-03 -5.000e-03\n",
      " -1.000e-02  6.000e-03  9.500e-01 -4.000e-03 -2.300e-02  7.650e-01\n",
      "  9.000e-03 -1.000e-03  1.300e-02  8.560e-01 -1.600e-02  3.000e-03\n",
      "  6.600e-01  7.210e-01  7.420e-01 -6.000e-03  6.950e-01  6.740e-01\n",
      " -2.000e-02 -9.000e-03  6.160e-01  8.710e-01 -1.300e-02  9.410e-01\n",
      " -2.000e-03  2.400e-02  8.490e-01  8.420e-01  9.370e-01  1.000e-02\n",
      "  9.470e-01  3.000e-03  9.600e-01  9.120e-01  4.000e-03  6.000e-03\n",
      "  8.480e-01 -1.700e-02  6.820e-01  6.710e-01  3.000e-03 -1.700e-02\n",
      "  3.000e-03  1.100e-02 -5.000e-03  9.000e-03  8.380e-01 -1.000e-02\n",
      " -1.000e-03 -1.500e-02  6.270e-01  6.000e-03  8.000e-03  2.000e-03\n",
      "  7.880e-01 -1.800e-02  8.590e-01 -7.000e-03  9.490e-01 -0.000e+00\n",
      " -4.000e-03 -1.500e-02 -3.000e-03  7.400e-01 -0.000e+00 -7.000e-03\n",
      "  4.000e-03  8.000e-03 -1.600e-02  3.000e-03  9.010e-01  1.500e-02\n",
      " -1.000e-03 -1.200e-02  9.040e-01  5.000e-03  6.210e-01  4.000e-03\n",
      "  8.020e-01  9.980e-01  7.560e-01  4.000e-03  8.000e-03 -1.200e-02\n",
      "  6.000e-03  2.000e-03  8.780e-01  1.000e-02  7.770e-01 -2.000e-03\n",
      "  8.000e-03 -6.000e-03].\n",
      "收敛容限tol=1e-05条件下, 利用ADMM算法求解的最终结果为(结果保留3位小数)\n",
      "[ 1.300e-02  6.190e-01  9.000e-03  2.700e-02  8.440e-01 -3.000e-03\n",
      "  7.890e-01  7.450e-01  8.000e-03  1.600e-02  6.100e-01  9.540e-01\n",
      "  8.040e-01  6.860e-01  9.460e-01  7.960e-01  1.100e-02  8.080e-01\n",
      " -1.500e-02 -3.000e-03 -1.600e-02  8.690e-01 -3.000e-03 -1.200e-02\n",
      "  9.560e-01  7.390e-01  7.090e-01  7.230e-01  4.000e-03  6.170e-01\n",
      "  6.000e-03 -3.000e-02 -1.000e-03 -1.500e-02  3.000e-03  8.290e-01\n",
      "  1.003e+00  7.220e-01 -0.000e+00  9.000e-03 -1.800e-02  0.000e+00\n",
      "  7.560e-01  1.400e-02  7.650e-01  9.000e-03  7.860e-01  2.000e-02\n",
      "  6.000e-03  6.000e-03  9.590e-01  1.800e-02 -1.300e-02 -8.000e-03\n",
      "  6.000e-03 -1.000e-02  9.220e-01  1.500e-02 -1.800e-02  9.190e-01\n",
      "  5.860e-01  1.300e-02  1.600e-02 -1.300e-02  9.700e-01  8.000e-03\n",
      "  7.710e-01  6.030e-01  1.000e-03  6.790e-01  9.930e-01  8.840e-01\n",
      "  7.000e-03  1.100e-02 -1.000e-03  7.650e-01 -2.000e-03  7.000e-03\n",
      "  7.980e-01  6.470e-01 -4.000e-03  6.930e-01  6.790e-01 -7.000e-03\n",
      " -1.400e-02 -1.300e-02  8.750e-01  6.000e-03  8.180e-01 -1.000e-03\n",
      " -1.600e-02  6.860e-01  6.340e-01  9.580e-01 -3.000e-03  0.000e+00\n",
      "  9.270e-01  6.850e-01 -1.200e-02  7.160e-01 -3.000e-03 -5.000e-03\n",
      "  1.000e-02  8.280e-01  1.300e-02  6.270e-01  8.110e-01 -5.000e-03\n",
      "  6.410e-01  9.410e-01 -5.000e-03  1.800e-02  1.200e-02  8.720e-01\n",
      "  9.000e-01  7.140e-01  2.100e-02  6.630e-01 -1.000e-02  1.100e-02\n",
      "  6.000e-03  7.770e-01  7.690e-01  1.500e-02  1.900e-02  8.000e-03\n",
      " -5.000e-03  1.000e-02  8.410e-01  4.000e-03 -4.000e-03  6.390e-01\n",
      "  7.890e-01 -9.000e-03 -4.000e-03  6.730e-01 -1.000e-02  1.100e-02\n",
      "  8.690e-01  6.690e-01 -1.100e-02  9.590e-01  5.000e-03 -5.000e-03\n",
      " -4.000e-03 -0.000e+00 -1.100e-02  9.480e-01 -6.000e-03 -6.000e-03\n",
      "  8.460e-01 -1.000e-03  6.660e-01  1.500e-02  1.400e-02  1.000e-03\n",
      "  7.990e-01  1.500e-02  9.980e-01 -1.500e-02  1.000e-02 -4.000e-03\n",
      " -1.200e-02  6.900e-01  6.230e-01 -5.000e-03  7.000e-03  1.006e+00\n",
      "  6.510e-01  1.300e-02  2.000e-03 -6.000e-03  7.730e-01  2.600e-02\n",
      "  1.100e-02 -5.000e-03 -0.000e+00 -1.000e-02  1.300e-02 -0.000e+00\n",
      " -1.300e-02 -2.000e-03  1.100e-02 -8.000e-03 -1.300e-02 -0.000e+00\n",
      "  5.000e-03 -6.000e-03  9.470e-01 -7.000e-03  9.150e-01 -6.000e-03\n",
      " -0.000e+00  8.150e-01 -2.200e-02 -4.000e-03 -2.100e-02  7.000e-03\n",
      "  7.000e-03  6.710e-01  1.400e-02  8.350e-01  8.640e-01 -2.100e-02\n",
      "  7.000e-03 -1.600e-02  7.430e-01 -1.300e-02  6.860e-01  7.550e-01\n",
      "  6.520e-01  8.820e-01  8.340e-01 -1.000e-03 -4.000e-03 -7.000e-03\n",
      "  8.760e-01  7.460e-01  5.000e-03  8.790e-01  1.100e-02 -7.000e-03\n",
      "  6.330e-01  7.950e-01  1.000e-03 -1.000e-02 -3.000e-03  2.100e-02\n",
      "  6.680e-01  1.000e-03  2.000e-03  7.590e-01 -3.000e-03 -2.000e-03\n",
      " -1.100e-02  6.120e-01 -2.000e-03 -2.900e-02 -9.000e-03  6.260e-01\n",
      "  8.630e-01 -2.500e-02  8.000e-03  7.000e-03  8.070e-01  7.000e-03\n",
      " -2.000e-03  7.840e-01  6.680e-01  9.340e-01  3.000e-03 -2.000e-02\n",
      "  7.590e-01 -9.000e-03  8.000e-03  6.910e-01  9.430e-01  8.760e-01\n",
      " -3.000e-03  6.960e-01 -1.400e-02 -7.000e-03  9.370e-01 -8.000e-03\n",
      "  6.300e-01 -0.000e+00  9.000e-03  6.270e-01 -1.300e-02 -1.400e-02\n",
      "  9.550e-01  7.260e-01 -5.000e-03 -6.000e-03  8.090e-01  6.870e-01\n",
      "  1.000e-02  7.000e-03  6.570e-01 -8.000e-03  9.000e-01 -0.000e+00\n",
      "  9.840e-01 -2.500e-02  1.100e-02  1.500e-02  1.000e-03  1.200e-02\n",
      "  8.860e-01  8.000e-03 -1.500e-02  2.200e-02 -1.000e-02  8.200e-01\n",
      " -7.000e-03 -4.000e-03  1.300e-02  6.000e-03 -8.000e-03  6.140e-01\n",
      "  5.000e-03  8.170e-01  7.000e-03 -5.000e-03  9.230e-01 -7.000e-03\n",
      " -1.200e-02  7.690e-01  6.220e-01 -6.000e-03 -1.100e-02  9.000e-03\n",
      "  1.200e-02  9.140e-01 -9.000e-03  1.000e-03  6.070e-01 -2.000e-03\n",
      "  6.460e-01  8.000e-01 -8.000e-03  7.990e-01  7.270e-01  3.000e-03\n",
      " -1.000e-03 -0.000e+00  8.440e-01  7.510e-01  7.990e-01  1.900e-02\n",
      " -6.000e-03 -2.600e-02  7.100e-01 -7.000e-03 -7.000e-03 -2.500e-02\n",
      " -3.000e-03  1.002e+00 -0.000e+00  6.380e-01  8.740e-01 -1.200e-02\n",
      "  8.050e-01  7.830e-01 -9.000e-03  9.000e-03  6.000e-03  8.980e-01\n",
      "  7.160e-01 -1.900e-02 -1.000e-03 -1.000e-02  6.760e-01  3.000e-03\n",
      " -3.000e-03  8.480e-01  7.270e-01  1.300e-02 -1.000e-02  6.190e-01\n",
      "  2.100e-02 -6.000e-03 -3.000e-03  9.600e-01  7.090e-01  9.840e-01\n",
      " -2.600e-02 -1.000e-03  7.000e-03  8.560e-01  7.100e-01  1.000e-03\n",
      "  6.830e-01  5.000e-03  3.000e-03  4.000e-03  7.880e-01 -1.000e-02\n",
      " -1.000e-02  9.520e-01  6.000e-03  7.400e-01  7.230e-01  5.000e-03\n",
      "  8.850e-01 -4.000e-03 -8.000e-03  9.360e-01 -1.700e-02 -1.000e-03\n",
      "  8.410e-01  8.310e-01  7.540e-01  9.000e-03 -9.000e-03 -1.000e-02\n",
      " -4.200e-02  3.000e-03  7.120e-01  1.500e-02 -6.000e-03  6.230e-01\n",
      "  1.100e-02 -1.000e-03 -1.300e-02  1.100e-02  9.000e-03 -5.000e-03\n",
      " -1.000e-02  6.000e-03  9.500e-01 -4.000e-03 -2.300e-02  7.650e-01\n",
      "  9.000e-03 -1.000e-03  1.300e-02  8.560e-01 -1.600e-02  3.000e-03\n",
      "  6.600e-01  7.210e-01  7.420e-01 -6.000e-03  6.950e-01  6.740e-01\n",
      " -2.000e-02 -9.000e-03  6.160e-01  8.710e-01 -1.300e-02  9.410e-01\n",
      " -2.000e-03  2.400e-02  8.490e-01  8.420e-01  9.370e-01  1.000e-02\n",
      "  9.470e-01  3.000e-03  9.600e-01  9.120e-01  4.000e-03  6.000e-03\n",
      "  8.480e-01 -1.700e-02  6.820e-01  6.710e-01  3.000e-03 -1.700e-02\n",
      "  3.000e-03  1.100e-02 -5.000e-03  9.000e-03  8.380e-01 -1.000e-02\n",
      " -1.000e-03 -1.500e-02  6.270e-01  6.000e-03  8.000e-03  2.000e-03\n",
      "  7.880e-01 -1.800e-02  8.590e-01 -7.000e-03  9.490e-01 -0.000e+00\n",
      " -4.000e-03 -1.500e-02 -3.000e-03  7.400e-01 -0.000e+00 -7.000e-03\n",
      "  4.000e-03  8.000e-03 -1.600e-02  3.000e-03  9.010e-01  1.500e-02\n",
      " -1.000e-03 -1.200e-02  9.040e-01  5.000e-03  6.210e-01  4.000e-03\n",
      "  8.020e-01  9.980e-01  7.560e-01  4.000e-03  8.000e-03 -1.200e-02\n",
      "  6.000e-03  2.000e-03  8.780e-01  1.000e-02  7.770e-01 -2.000e-03\n",
      "  8.000e-03 -6.000e-03].\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 1500x1500 with 9 Axes>"
      ],
      "image/png": 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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 25
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "## 数据维度 1000",
   "id": "f97bd442ff6c2787"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-06-20T11:52:52.119020Z",
     "start_time": "2024-06-20T11:45:45.258404Z"
    }
   },
   "cell_type": "code",
   "source": [
    "iters = int(1e5)\n",
    "tol = 1e-5\n",
    "\n",
    "# 设置画布\n",
    "fig, axs = plt.subplots(3, 3, figsize=(15, 15), sharey='row', sharex='col')\n",
    "plt.rcParams['xtick.direction'] = 'in'\n",
    "plt.rcParams['ytick.direction'] = 'in'\n",
    "plt.subplots_adjust(wspace=0, hspace=0)\n",
    "algorithms = ['PG', 'APG', 'ADMM']\n",
    "data_scales = ['Small', 'Medium', 'Large']\n",
    "np.random.seed(0)\n",
    "\n",
    "for j, num in enumerate([100, 1000, 10000]):\n",
    "    matrixA, vectorb, true_coef = generate_data(num, 1000)\n",
    "    # show_process=False 不输出中间过程\n",
    "    x_pg, y_pg, res_pg, times_pg = pg_lasso(matrixA, vectorb, 0.4, max_iter=iters, tol=tol, plot=False,\n",
    "                                            show_process=False)\n",
    "    x_apg, y_apg, res_apg, times_apg = apg_lasso(matrixA, vectorb, 0.4, max_iter=iters, tol=tol, plot=False,\n",
    "                                                 show_process=False)\n",
    "    x_admm, y_admm, res_admm, times_admm = admm_lasso(matrixA, vectorb, 0.4, 1, max_iter=iters, tol=tol, plot=False,\n",
    "                                                      show_process=False)\n",
    "    Y = [y_pg, y_apg, y_admm]\n",
    "    RES = [res_pg, res_apg, res_admm]\n",
    "    TIMES = [times_pg, times_apg, times_admm]\n",
    "    for i in range(3):\n",
    "        view_plot_2(Y[i], RES[i], TIMES[i], axs[:, j], algorithms[i], data_scales[j])\n",
    "axs[2, 0].set_xlabel('Iteration')\n",
    "axs[2, 1].set_xlabel('Iteration')\n",
    "axs[2, 2].set_xlabel('Iteration')\n",
    "axs[0, 0].set_ylabel('Lasso Values')\n",
    "axs[1, 0].set_ylabel('RES Values')\n",
    "axs[2, 0].set_ylabel('GPU Running Times(s)')\n",
    "\n",
    "plt.legend(loc='lower right')\n",
    "plt.show()"
   ],
   "id": "1713017b1ee7b726",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "在最大迭代次数内, PG算法未达到收敛容限.\n",
      "收敛容限tol=1e-05条件下, 利用APG算法求解的最终结果为(结果保留3位小数)\n",
      "[-0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  9.800e-02 -0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  1.760e-01  0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00  0.000e+00  2.950e-01  0.000e+00\n",
      " -0.000e+00 -0.000e+00  2.970e-01 -0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00 -0.000e+00  3.500e-01  0.000e+00\n",
      "  0.000e+00 -4.060e-01  0.000e+00  0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  4.900e-01 -0.000e+00\n",
      "  4.900e-01  0.000e+00  1.469e+00 -0.000e+00 -0.000e+00  4.740e-01\n",
      "  0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00 -2.200e-01  0.000e+00  0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00  0.000e+00  4.400e-02  0.000e+00\n",
      "  0.000e+00  0.000e+00 -1.317e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00 -0.000e+00  3.170e-01  0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  2.290e-01  0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00  1.540e-01  1.850e-01 -0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00  9.540e-01  0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  8.670e-01\n",
      "  0.000e+00  0.000e+00 -8.600e-02 -0.000e+00 -0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -2.014e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00  1.624e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00  2.044e+00  0.000e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00  2.429e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00  2.140e-01  0.000e+00  9.230e-01  0.000e+00  0.000e+00\n",
      "  1.870e-01 -4.400e-01  0.000e+00 -0.000e+00 -0.000e+00 -1.668e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00\n",
      "  2.332e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  5.300e-02\n",
      "  1.283e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00  3.740e-01 -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00\n",
      "  7.200e-02  0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00 -5.900e-01  0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00  0.000e+00  7.250e-01  0.000e+00\n",
      "  0.000e+00 -0.000e+00 -6.200e-02 -0.000e+00  2.102e+00 -0.000e+00\n",
      " -1.073e+00  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00  4.870e-01  0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00\n",
      "  0.000e+00  1.329e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00  6.680e-01\n",
      "  0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  6.550e-01 -0.000e+00  0.000e+00  5.800e-02\n",
      "  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  6.220e-01\n",
      "  0.000e+00 -0.000e+00  1.621e+00  0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  1.030e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00\n",
      "  3.940e-01  0.000e+00 -1.806e+00  0.000e+00 -0.000e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00  3.670e-01  0.000e+00 -0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00  8.540e-01  0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00 -1.130e-01 -0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  2.264e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00  0.000e+00  0.000e+00 -6.300e-02\n",
      "  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00 -6.290e-01 -0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00 -1.870e-01  0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -1.700e-02\n",
      "  0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00\n",
      "  1.790e-01 -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00  1.091e+00  1.240e-01 -0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00  3.380e-01 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -0.000e+00 -2.083e+00\n",
      "  0.000e+00  0.000e+00  1.640e-01  0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00  8.040e-01 -0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00 -0.000e+00  9.370e-01 -0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  6.150e-01  0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00 -2.700e-02\n",
      "  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00 -1.099e+00 -0.000e+00  1.231e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  6.800e-02  3.111e+00  1.070e-01  0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  7.690e-01  6.430e-01  0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      " -4.390e-01 -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  1.280e-01 -0.000e+00 -0.000e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00 -1.980e-01  0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00  0.000e+00  1.370e-01  9.100e-02\n",
      "  0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00 -3.620e-01 -0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00  1.914e+00  0.000e+00  7.840e-01  0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00 -3.940e-01  0.000e+00 -0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00  0.000e+00  4.610e-01  0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00  0.000e+00  0.000e+00  1.379e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -1.000e-03\n",
      " -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00 -1.088e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00 -3.790e-01 -1.404e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  1.320e-01\n",
      "  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      "  4.990e-01  0.000e+00 -1.448e+00 -0.000e+00  1.677e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  2.870e-01 -0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00 -7.590e-01 -0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00  0.000e+00  2.118e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00  1.200e-01 -0.000e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00 -9.160e-01  0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00  5.720e-01 -0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  1.604e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00].\n",
      "收敛容限tol=1e-05条件下, 利用ADMM算法求解的最终结果为(结果保留3位小数)\n",
      "[-0.000e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00  9.900e-02  0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00 -0.000e+00  1.770e-01 -0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  2.950e-01  0.000e+00\n",
      "  0.000e+00 -0.000e+00  2.970e-01 -0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00 -0.000e+00  3.510e-01  0.000e+00\n",
      " -0.000e+00 -4.060e-01 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  4.900e-01 -0.000e+00\n",
      "  4.900e-01  0.000e+00  1.468e+00 -0.000e+00 -0.000e+00  4.740e-01\n",
      " -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00 -2.200e-01  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00  0.000e+00  4.400e-02  0.000e+00\n",
      " -0.000e+00  0.000e+00 -1.317e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00 -0.000e+00  3.170e-01 -0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00  2.290e-01 -0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00  1.550e-01  1.860e-01  0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00  9.540e-01  0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  8.660e-01\n",
      "  0.000e+00  0.000e+00 -8.500e-02 -0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -2.014e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00  1.624e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00  2.044e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00  2.429e+00 -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      " -0.000e+00  2.140e-01 -0.000e+00  9.230e-01  0.000e+00  0.000e+00\n",
      "  1.870e-01 -4.400e-01 -0.000e+00 -0.000e+00  0.000e+00 -1.668e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      "  2.332e+00 -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00  5.300e-02\n",
      "  1.283e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00\n",
      "  0.000e+00  3.750e-01 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      "  7.200e-02  0.000e+00  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00 -5.900e-01  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00  0.000e+00  7.250e-01  0.000e+00\n",
      "  0.000e+00  0.000e+00 -6.200e-02 -0.000e+00  2.101e+00  0.000e+00\n",
      " -1.073e+00  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00  4.870e-01  0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00\n",
      " -0.000e+00  1.330e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  6.690e-01\n",
      "  0.000e+00  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00  6.550e-01  0.000e+00  0.000e+00  5.800e-02\n",
      " -0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -0.000e+00  6.210e-01\n",
      "  0.000e+00  0.000e+00  1.620e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00  1.031e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00\n",
      "  3.940e-01  0.000e+00 -1.806e+00  0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00  3.660e-01 -0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00  8.550e-01  0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00 -1.130e-01  0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00  0.000e+00  2.264e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00 -6.300e-02\n",
      "  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00 -6.290e-01  0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00 -1.870e-01 -0.000e+00  0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00 -1.800e-02\n",
      " -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      "  1.790e-01  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00  1.092e+00  1.240e-01  0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00  3.370e-01  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00 -2.083e+00\n",
      "  0.000e+00 -0.000e+00  1.650e-01  0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00  8.040e-01 -0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00  0.000e+00  9.370e-01 -0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00  0.000e+00  6.150e-01  0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -2.700e-02\n",
      " -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00 -1.099e+00  0.000e+00  1.231e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00  6.800e-02  3.111e+00  1.080e-01  0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00  7.690e-01  6.440e-01 -0.000e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      " -4.390e-01  0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00  1.270e-01 -0.000e+00  0.000e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00 -1.980e-01  0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00  0.000e+00  1.360e-01  9.100e-02\n",
      "  0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00 -3.610e-01 -0.000e+00  0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00  1.914e+00 -0.000e+00  7.850e-01 -0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00 -3.950e-01  0.000e+00 -0.000e+00  0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  4.620e-01 -0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  1.379e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00 -1.000e-03\n",
      " -0.000e+00  0.000e+00  0.000e+00  0.000e+00 -1.088e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00 -3.790e-01 -1.404e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  1.310e-01\n",
      " -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      " -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00\n",
      "  4.990e-01 -0.000e+00 -1.448e+00  0.000e+00  1.677e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00  0.000e+00  2.860e-01  0.000e+00\n",
      " -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00\n",
      " -0.000e+00  0.000e+00  0.000e+00 -7.590e-01  0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00  2.118e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00  0.000e+00  0.000e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00  1.200e-01 -0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00 -9.150e-01  0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00  5.730e-01  0.000e+00  0.000e+00\n",
      "  0.000e+00 -0.000e+00  0.000e+00  0.000e+00  1.604e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00 -0.000e+00  0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00 -0.000e+00 -0.000e+00  0.000e+00 -0.000e+00  0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00 -0.000e+00 -0.000e+00 -0.000e+00\n",
      "  0.000e+00  0.000e+00  0.000e+00 -0.000e+00].\n",
      "收敛容限tol=1e-05条件下, 利用PG算法求解的最终结果为(结果保留3位小数)\n",
      "[ 5.960e-01  9.840e-01  2.680e-01  9.350e-01  2.680e-01  9.500e-02\n",
      " -2.200e-02 -7.300e-02  8.990e-01  8.360e-01 -1.430e-01  1.460e-01\n",
      " -1.280e-01  8.690e-01  7.700e-02  9.380e-01  1.000e-03 -2.900e-02\n",
      "  5.300e-02 -0.000e+00 -5.400e-02  9.660e-01  9.460e-01 -2.240e-01\n",
      "  2.500e-02 -6.000e-03 -1.800e-01  7.980e-01  1.340e-01  7.990e-01\n",
      " -7.200e-02  1.167e+00  8.560e-01  6.600e-02  7.440e-01  4.790e-01\n",
      "  7.990e-01  6.440e-01  9.620e-01 -3.100e-02  1.130e-01 -2.000e-02\n",
      "  7.170e-01 -3.000e-02 -5.500e-02  1.300e-02  3.000e-02  5.000e-02\n",
      "  7.550e-01 -9.000e-03 -2.550e-01  1.111e+00 -0.000e+00 -2.570e-01\n",
      " -6.800e-02 -7.300e-02  5.850e-01  7.750e-01  8.900e-02  6.360e-01\n",
      "  0.000e+00 -1.870e-01  1.540e-01  8.670e-01  7.870e-01  1.055e+00\n",
      "  4.840e-01 -2.500e-02  6.740e-01  6.930e-01  9.830e-01 -3.800e-02\n",
      "  7.980e-01  0.000e+00  2.260e-01  6.530e-01  7.550e-01  2.130e-01\n",
      "  7.900e-01  1.100e-02  7.920e-01  8.700e-01 -9.800e-02  1.002e+00\n",
      " -2.300e-02  1.008e+00  5.200e-02 -3.290e-01 -0.000e+00  8.030e-01\n",
      "  6.460e-01 -7.200e-02  8.900e-01  6.620e-01  7.940e-01 -1.830e-01\n",
      "  7.850e-01 -1.900e-01  6.810e-01  9.870e-01  1.010e+00  5.000e-03\n",
      " -2.600e-01  8.820e-01 -7.600e-02  0.000e+00 -5.300e-02  9.890e-01\n",
      " -3.800e-02 -3.200e-02  7.000e-03  8.880e-01  5.170e-01  7.760e-01\n",
      "  6.000e-03  7.100e-02  9.610e-01 -1.600e-02  1.147e+00 -7.000e-03\n",
      "  9.950e-01  7.060e-01 -1.000e-02  9.860e-01 -2.600e-02 -1.190e-01\n",
      "  6.580e-01 -5.000e-02  1.500e-01  7.340e-01  3.000e-02  3.000e-03\n",
      "  8.320e-01 -3.200e-02 -7.700e-02  1.204e+00 -3.700e-02  0.000e+00\n",
      "  1.510e-01 -7.100e-02 -9.000e-02  1.010e+00 -1.100e-02 -5.500e-02\n",
      "  9.220e-01  8.640e-01 -1.200e-02  8.450e-01  6.360e-01  0.000e+00\n",
      "  7.050e-01  9.170e-01 -4.400e-02 -2.600e-02 -8.200e-02 -1.310e-01\n",
      "  1.410e-01  9.980e-01  9.870e-01  6.350e-01 -0.000e+00  5.230e-01\n",
      "  8.920e-01  6.710e-01  3.000e-02  6.100e-02  6.040e-01  7.330e-01\n",
      "  6.480e-01 -1.340e-01  5.810e-01  7.560e-01  8.220e-01 -1.800e-02\n",
      "  0.000e+00 -1.750e-01 -5.500e-02  7.020e-01 -3.700e-02  8.720e-01\n",
      "  8.120e-01  8.980e-01  1.070e+00  2.190e-01 -0.000e+00  9.290e-01\n",
      "  0.000e+00 -1.540e-01  3.400e-02 -1.500e-02 -9.000e-03 -1.800e-02\n",
      "  9.440e-01  1.026e+00 -1.410e-01  2.050e-01  1.230e-01  3.100e-02\n",
      " -4.000e-03  8.000e-02  9.440e-01  4.200e-02 -7.700e-02  6.160e-01\n",
      " -0.000e+00  7.570e-01  1.124e+00  8.250e-01 -5.700e-02  7.170e-01\n",
      "  6.220e-01  1.750e-01  7.240e-01  8.720e-01  2.800e-02  9.200e-02\n",
      " -0.000e+00  1.025e+00  1.480e-01  6.330e-01  7.500e-01 -2.300e-02\n",
      "  1.390e-01  8.740e-01  6.590e-01  1.660e-01 -9.200e-02 -2.530e-01\n",
      " -2.120e-01  7.010e-01  1.200e-01  3.400e-02  9.740e-01  9.120e-01\n",
      " -1.000e-02 -5.400e-02  7.600e-02  2.300e-02  6.800e-02  1.069e+00\n",
      " -2.300e-01 -5.400e-02 -9.400e-02  7.940e-01  1.100e-01  2.000e-02\n",
      " -5.400e-02  5.100e-02 -1.000e-03 -9.600e-02  1.010e-01 -0.000e+00\n",
      "  1.680e-01  2.530e-01  8.700e-01  8.520e-01  8.000e-03 -4.400e-02\n",
      "  2.370e-01 -6.100e-02 -2.100e-02 -7.800e-02 -1.170e-01 -7.000e-02\n",
      "  8.680e-01  6.520e-01  7.200e-01  1.380e-01 -1.890e-01  6.720e-01\n",
      "  6.000e-01 -0.000e+00 -6.100e-02  0.000e+00  0.000e+00  4.070e-01\n",
      "  6.680e-01  5.810e-01  1.910e-01  9.550e-01  2.600e-02  6.420e-01\n",
      "  3.700e-02  1.410e-01  5.090e-01 -0.000e+00  6.720e-01  2.600e-02\n",
      "  7.980e-01 -2.000e-02  9.000e-02  5.680e-01  1.240e-01 -2.800e-02\n",
      " -2.800e-02  7.780e-01  7.020e-01 -4.800e-02  8.200e-01 -1.110e-01\n",
      "  2.600e-02  1.940e-01  7.600e-02 -1.080e-01  4.900e-01  8.020e-01\n",
      " -0.000e+00  5.150e-01  1.013e+00  8.890e-01  4.940e-01  4.800e-02\n",
      " -2.020e-01  2.800e-02  8.450e-01 -2.170e-01  9.740e-01 -4.300e-02\n",
      " -1.340e-01  7.050e-01  4.310e-01 -8.900e-02  0.000e+00 -1.900e-02\n",
      "  7.860e-01 -2.800e-01  5.100e-02  9.800e-01  7.700e-01 -0.000e+00\n",
      "  7.750e-01  7.600e-02  7.450e-01  1.218e+00 -0.000e+00  5.480e-01\n",
      "  8.000e-02  0.000e+00 -6.400e-02  6.440e-01  2.370e-01  7.690e-01\n",
      " -0.000e+00  9.410e-01  2.060e-01  6.610e-01  1.450e-01  4.820e-01\n",
      "  0.000e+00  7.200e-02  6.000e-03  8.410e-01  6.960e-01  1.010e-01\n",
      "  7.420e-01  5.600e-02 -2.600e-02  9.900e-02  8.830e-01  8.770e-01\n",
      "  6.400e-02 -2.100e-02  7.800e-02  1.040e-01  7.430e-01 -1.080e-01\n",
      "  7.300e-02  7.880e-01  9.000e-03  7.620e-01  6.800e-02 -1.330e-01\n",
      " -5.200e-02  4.000e-03  1.380e-01 -1.090e-01  8.150e-01  1.170e-01\n",
      " -6.700e-02 -0.000e+00  4.700e-02 -1.090e-01  1.024e+00  3.820e-01\n",
      "  8.940e-01  4.000e-03 -1.070e-01  9.000e-03  1.163e+00  8.900e-02\n",
      "  1.000e-03  7.990e-01 -6.400e-02  9.460e-01  9.160e-01 -8.500e-02\n",
      "  9.900e-02 -9.100e-02  9.360e-01  5.640e-01  9.850e-01 -4.200e-02\n",
      "  6.170e-01  2.300e-02 -6.000e-02  2.490e-01  1.800e-02 -9.000e-03\n",
      "  8.000e-02  1.049e+00  8.730e-01  1.710e-01  1.760e-01  5.730e-01\n",
      " -1.000e-01 -7.700e-02  8.340e-01  7.620e-01  6.780e-01  8.500e-02\n",
      "  9.800e-01  1.500e-01  7.000e-03  1.145e+00  8.130e-01  1.143e+00\n",
      " -8.000e-03  7.740e-01  5.930e-01  1.139e+00  0.000e+00 -6.700e-02\n",
      "  8.120e-01  7.220e-01  6.700e-01  5.500e-02  1.480e-01 -4.500e-02\n",
      " -8.100e-02  5.000e-01  0.000e+00  9.090e-01 -3.400e-02 -2.450e-01\n",
      "  7.150e-01  7.020e-01  5.000e-03  6.060e-01  6.320e-01  6.100e-02\n",
      " -0.000e+00 -1.280e-01  6.800e-02  6.250e-01 -1.090e-01 -6.000e-02\n",
      " -2.000e-02  1.120e-01  7.460e-01 -6.600e-02 -1.310e-01 -1.060e-01\n",
      "  7.540e-01  6.460e-01  7.500e-01  6.750e-01 -1.730e-01  7.560e-01\n",
      " -4.100e-02 -5.400e-02  6.170e-01  7.170e-01 -2.500e-02  4.000e-03\n",
      "  6.700e-01  8.400e-02  7.830e-01 -2.850e-01 -0.000e+00  2.060e-01\n",
      " -1.290e-01  2.100e-02  7.100e-02 -1.870e-01  6.840e-01  6.570e-01\n",
      "  2.420e-01 -1.000e-01 -1.250e-01  7.530e-01 -2.300e-02  9.000e-03\n",
      "  2.100e-02  1.500e-01  2.300e-02  5.000e-02 -1.900e-02  9.500e-01\n",
      " -0.000e+00  2.110e-01  1.740e-01  7.150e-01 -3.600e-02  6.050e-01\n",
      "  9.600e-02  8.000e-02  6.390e-01  6.090e-01  1.330e-01  1.119e+00\n",
      "  1.590e-01  1.610e-01  9.160e-01  4.400e-02 -1.620e-01 -5.900e-02\n",
      "  9.360e-01  5.460e-01  8.050e-01 -2.080e-01 -1.110e-01 -5.600e-02\n",
      " -4.900e-02  4.500e-02  5.400e-02 -2.140e-01  3.800e-02  6.400e-01\n",
      " -3.800e-02  7.190e-01 -6.000e-02  2.340e-01  1.010e-01  8.320e-01\n",
      " -2.020e-01  6.800e-01 -1.530e-01 -3.400e-02  6.510e-01  1.720e-01\n",
      "  2.200e-02  9.450e-01  7.220e-01 -1.650e-01  6.470e-01 -1.140e-01\n",
      " -1.560e-01  9.400e-02  7.640e-01  1.020e-01  9.340e-01  8.460e-01\n",
      "  1.160e-01  6.350e-01  7.520e-01 -1.550e-01  8.660e-01  6.170e-01\n",
      "  9.140e-01  2.700e-02  2.800e-02 -3.000e-03 -2.140e-01  1.164e+00\n",
      "  6.250e-01 -1.430e-01  5.910e-01  1.230e-01 -1.550e-01 -4.700e-02\n",
      "  4.000e-02 -7.000e-03  6.000e-02 -0.000e+00  9.190e-01  4.840e-01\n",
      "  1.088e+00 -1.360e-01  6.670e-01 -3.200e-02  7.970e-01  8.270e-01\n",
      " -1.140e-01  6.370e-01  6.660e-01  1.150e-01 -2.300e-02  6.830e-01\n",
      " -3.800e-02  6.100e-02  0.000e+00  5.350e-01 -9.500e-02  2.600e-02\n",
      " -3.500e-02  8.810e-01  1.820e-01  1.160e-01 -1.720e-01  7.210e-01\n",
      " -2.200e-02 -4.600e-02  1.100e-02  6.900e-02  8.430e-01  1.550e-01\n",
      "  8.470e-01  1.060e-01  9.800e-02 -6.100e-02  0.000e+00 -1.070e-01\n",
      "  1.030e-01  7.900e-01  9.700e-02  8.800e-01 -7.000e-03  7.400e-02\n",
      " -4.000e-03  6.410e-01  5.650e-01  6.300e-02  7.530e-01  8.350e-01\n",
      "  7.980e-01 -3.200e-02  6.130e-01 -5.100e-02 -4.900e-02  5.410e-01\n",
      "  9.490e-01 -2.380e-01  0.000e+00 -2.120e-01  1.014e+00 -2.400e-02\n",
      " -1.240e-01  7.600e-01  1.066e+00  2.100e-02 -3.400e-02  7.520e-01\n",
      "  9.400e-01  6.850e-01  6.900e-01 -1.010e-01 -1.100e-02  1.023e+00\n",
      "  9.500e-01  5.530e-01  9.280e-01  8.300e-02  7.600e-01  1.038e+00\n",
      "  3.300e-02  9.830e-01  1.270e-01  8.210e-01  1.440e-01  4.400e-02\n",
      "  8.100e-02  5.200e-02  9.940e-01  2.660e-01  6.960e-01  1.300e-01\n",
      " -1.200e-02 -0.000e+00  0.000e+00  9.180e-01 -1.280e-01  7.510e-01\n",
      "  6.870e-01 -1.220e-01  7.410e-01  2.350e-01 -9.700e-02  1.024e+00\n",
      "  8.190e-01 -1.050e-01  1.014e+00 -2.000e-03 -2.300e-02  7.010e-01\n",
      "  8.300e-02  1.005e+00  6.180e-01  1.040e-01  1.700e-02 -7.100e-02\n",
      "  8.300e-01  9.050e-01  8.200e-01 -6.100e-02  8.100e-02  0.000e+00\n",
      "  3.000e-02  5.340e-01  2.800e-02  2.080e-01  3.800e-02  8.800e-02\n",
      " -1.000e-01 -6.000e-02  9.020e-01 -3.500e-02  6.320e-01  8.570e-01\n",
      "  7.430e-01 -2.120e-01  8.420e-01 -3.600e-02  1.870e-01  7.420e-01\n",
      "  6.790e-01  7.080e-01 -6.700e-02  3.100e-02 -3.900e-02  9.380e-01\n",
      "  0.000e+00  7.930e-01  1.032e+00  5.290e-01 -2.040e-01 -1.500e-02\n",
      "  1.290e-01  8.830e-01  4.000e-02  4.900e-02  7.030e-01  8.420e-01\n",
      "  0.000e+00  5.000e-03 -5.200e-02 -8.500e-02  9.600e-01  6.130e-01\n",
      " -2.000e-02 -1.400e-02  9.560e-01  3.040e-01 -1.070e-01  8.970e-01\n",
      "  5.900e-02 -2.500e-02  8.300e-02  0.000e+00  9.290e-01  2.200e-02\n",
      " -5.400e-02  7.250e-01  5.910e-01  6.370e-01  2.500e-02 -4.800e-02\n",
      "  9.000e-03  9.240e-01  5.350e-01  0.000e+00  9.790e-01  2.600e-01\n",
      "  2.060e-01  7.430e-01  8.700e-01 -1.410e-01  3.110e-01  9.210e-01\n",
      "  8.660e-01  7.590e-01  1.230e-01  7.310e-01  8.170e-01  1.100e-02\n",
      "  9.350e-01  0.000e+00 -2.700e-02  9.420e-01 -9.700e-02  1.450e-01\n",
      "  6.300e-02  7.530e-01  4.800e-02  0.000e+00 -4.500e-02  9.780e-01\n",
      "  1.500e-01  1.260e-01 -2.990e-01  1.200e-01  6.980e-01  1.700e-02\n",
      " -5.000e-03  6.230e-01 -1.760e-01  8.030e-01 -1.600e-01  8.870e-01\n",
      " -4.300e-02  0.000e+00 -1.100e-02  0.000e+00  8.810e-01 -8.600e-02\n",
      " -2.600e-02 -1.130e-01  5.630e-01  7.730e-01  7.900e-02  1.043e+00\n",
      " -1.360e-01 -1.630e-01  1.050e-01 -7.000e-03 -1.260e-01  8.320e-01\n",
      "  7.820e-01  0.000e+00 -4.800e-02 -5.300e-02  9.930e-01  6.420e-01\n",
      "  8.780e-01 -7.200e-02  5.180e-01  7.110e-01  7.240e-01 -7.900e-02\n",
      "  6.000e-03  1.310e-01  4.300e-02 -2.950e-01  2.300e-02  9.660e-01\n",
      "  1.140e-01 -1.360e-01  9.900e-02 -9.300e-02 -1.900e-02 -2.710e-01\n",
      "  2.080e-01  2.740e-01  1.800e-01  7.120e-01  2.530e-01 -5.100e-02\n",
      " -1.510e-01  7.500e-02 -4.300e-02  4.200e-02  8.240e-01  6.340e-01\n",
      "  7.130e-01 -0.000e+00 -8.600e-02 -2.000e-02 -8.000e-03  9.820e-01\n",
      "  2.500e-02  6.440e-01  8.850e-01  6.000e-03  7.940e-01  8.420e-01\n",
      "  6.120e-01 -5.000e-02 -8.500e-02 -2.600e-02 -3.500e-02  2.400e-02\n",
      " -9.600e-02  8.560e-01  8.710e-01  6.910e-01  6.780e-01  0.000e+00\n",
      "  7.410e-01  7.750e-01  4.000e-02 -5.900e-02  9.190e-01  1.500e-02\n",
      " -4.700e-02  3.900e-01  6.000e-03  0.000e+00  1.021e+00  6.350e-01\n",
      "  1.080e-01  4.330e-01  1.320e-01 -1.760e-01 -1.940e-01  1.700e-02\n",
      "  4.700e-02  6.670e-01 -1.560e-01 -3.300e-02  1.900e-02  3.300e-02\n",
      "  5.880e-01  6.640e-01  0.000e+00  1.027e+00 -8.400e-02 -2.700e-02\n",
      "  3.000e-02  1.400e-01  3.900e-02  7.760e-01 -7.500e-02  2.280e-01\n",
      "  5.300e-02  1.290e-01 -1.280e-01  7.880e-01 -1.310e-01  2.400e-02\n",
      "  7.160e-01  5.600e-02 -6.700e-02  5.530e-01  9.230e-01  8.390e-01\n",
      " -6.100e-02  1.480e-01  3.000e-02 -4.300e-02  9.840e-01  7.750e-01\n",
      " -6.300e-02  6.810e-01  8.110e-01  1.085e+00  3.330e-01  1.570e-01\n",
      "  5.210e-01  1.080e+00  1.990e-01  6.100e-02  8.970e-01  1.660e-01\n",
      "  7.420e-01 -6.400e-02  7.250e-01 -4.600e-02  6.610e-01 -1.700e-02\n",
      "  8.580e-01 -1.260e-01  2.200e-01 -1.310e-01  6.200e-02  1.030e+00\n",
      "  7.990e-01 -1.000e-03 -3.080e-01  7.390e-01  1.093e+00  6.880e-01\n",
      "  8.570e-01 -1.410e-01  7.960e-01  4.530e-01  7.230e-01 -1.650e-01\n",
      "  6.930e-01  1.500e-02  1.012e+00  1.230e-01  5.790e-01  8.040e-01\n",
      "  7.300e-01  1.000e-03  9.860e-01 -0.000e+00  7.700e-02  9.060e-01\n",
      "  1.600e-02 -8.600e-02 -1.700e-01  6.710e-01 -8.000e-03  7.080e-01\n",
      "  5.000e-03 -1.550e-01  1.234e+00 -1.270e-01 -1.130e-01 -1.310e-01\n",
      " -1.660e-01  7.400e-02  9.790e-01 -3.200e-02  6.730e-01  7.840e-01\n",
      " -2.300e-02  2.900e-02  3.600e-02  8.180e-01].\n",
      "收敛容限tol=1e-05条件下, 利用APG算法求解的最终结果为(结果保留3位小数)\n",
      "[ 5.960e-01  9.840e-01  2.680e-01  9.350e-01  2.680e-01  9.500e-02\n",
      " -2.200e-02 -7.300e-02  8.990e-01  8.360e-01 -1.430e-01  1.460e-01\n",
      " -1.280e-01  8.690e-01  7.700e-02  9.380e-01  1.000e-03 -2.900e-02\n",
      "  5.300e-02 -0.000e+00 -5.400e-02  9.660e-01  9.460e-01 -2.240e-01\n",
      "  2.500e-02 -6.000e-03 -1.800e-01  7.980e-01  1.340e-01  7.990e-01\n",
      " -7.200e-02  1.167e+00  8.560e-01  6.600e-02  7.440e-01  4.790e-01\n",
      "  7.990e-01  6.440e-01  9.620e-01 -3.100e-02  1.130e-01 -2.000e-02\n",
      "  7.170e-01 -3.000e-02 -5.500e-02  1.300e-02  3.000e-02  5.000e-02\n",
      "  7.550e-01 -9.000e-03 -2.550e-01  1.111e+00 -0.000e+00 -2.570e-01\n",
      " -6.800e-02 -7.300e-02  5.850e-01  7.750e-01  8.900e-02  6.360e-01\n",
      "  0.000e+00 -1.870e-01  1.540e-01  8.670e-01  7.870e-01  1.055e+00\n",
      "  4.840e-01 -2.500e-02  6.740e-01  6.930e-01  9.830e-01 -3.800e-02\n",
      "  7.980e-01  0.000e+00  2.260e-01  6.530e-01  7.550e-01  2.130e-01\n",
      "  7.900e-01  1.100e-02  7.920e-01  8.700e-01 -9.800e-02  1.002e+00\n",
      " -2.300e-02  1.008e+00  5.200e-02 -3.290e-01 -0.000e+00  8.030e-01\n",
      "  6.460e-01 -7.200e-02  8.900e-01  6.620e-01  7.940e-01 -1.830e-01\n",
      "  7.850e-01 -1.900e-01  6.810e-01  9.870e-01  1.010e+00  5.000e-03\n",
      " -2.600e-01  8.820e-01 -7.600e-02  0.000e+00 -5.300e-02  9.890e-01\n",
      " -3.800e-02 -3.200e-02  7.000e-03  8.880e-01  5.170e-01  7.760e-01\n",
      "  6.000e-03  7.100e-02  9.610e-01 -1.600e-02  1.147e+00 -7.000e-03\n",
      "  9.950e-01  7.060e-01 -1.000e-02  9.860e-01 -2.600e-02 -1.190e-01\n",
      "  6.580e-01 -5.000e-02  1.500e-01  7.340e-01  3.000e-02  3.000e-03\n",
      "  8.320e-01 -3.200e-02 -7.700e-02  1.204e+00 -3.700e-02  0.000e+00\n",
      "  1.510e-01 -7.100e-02 -9.000e-02  1.010e+00 -1.100e-02 -5.500e-02\n",
      "  9.220e-01  8.640e-01 -1.200e-02  8.450e-01  6.360e-01  0.000e+00\n",
      "  7.050e-01  9.170e-01 -4.400e-02 -2.600e-02 -8.200e-02 -1.310e-01\n",
      "  1.410e-01  9.980e-01  9.870e-01  6.350e-01 -0.000e+00  5.230e-01\n",
      "  8.920e-01  6.710e-01  3.000e-02  6.100e-02  6.040e-01  7.330e-01\n",
      "  6.480e-01 -1.340e-01  5.810e-01  7.560e-01  8.220e-01 -1.800e-02\n",
      "  0.000e+00 -1.750e-01 -5.500e-02  7.020e-01 -3.700e-02  8.720e-01\n",
      "  8.120e-01  8.980e-01  1.070e+00  2.190e-01 -0.000e+00  9.290e-01\n",
      "  0.000e+00 -1.540e-01  3.400e-02 -1.500e-02 -9.000e-03 -1.800e-02\n",
      "  9.440e-01  1.026e+00 -1.410e-01  2.050e-01  1.230e-01  3.100e-02\n",
      " -4.000e-03  8.000e-02  9.440e-01  4.200e-02 -7.700e-02  6.160e-01\n",
      " -0.000e+00  7.570e-01  1.124e+00  8.250e-01 -5.700e-02  7.170e-01\n",
      "  6.220e-01  1.750e-01  7.240e-01  8.720e-01  2.800e-02  9.200e-02\n",
      " -0.000e+00  1.025e+00  1.480e-01  6.330e-01  7.500e-01 -2.300e-02\n",
      "  1.390e-01  8.740e-01  6.590e-01  1.660e-01 -9.200e-02 -2.530e-01\n",
      " -2.120e-01  7.010e-01  1.200e-01  3.400e-02  9.740e-01  9.120e-01\n",
      " -1.000e-02 -5.400e-02  7.600e-02  2.300e-02  6.800e-02  1.069e+00\n",
      " -2.300e-01 -5.400e-02 -9.400e-02  7.940e-01  1.100e-01  2.000e-02\n",
      " -5.400e-02  5.100e-02 -1.000e-03 -9.600e-02  1.010e-01 -0.000e+00\n",
      "  1.680e-01  2.530e-01  8.700e-01  8.520e-01  8.000e-03 -4.400e-02\n",
      "  2.370e-01 -6.100e-02 -2.100e-02 -7.800e-02 -1.170e-01 -7.000e-02\n",
      "  8.680e-01  6.520e-01  7.200e-01  1.380e-01 -1.890e-01  6.720e-01\n",
      "  6.000e-01 -0.000e+00 -6.100e-02  0.000e+00  0.000e+00  4.070e-01\n",
      "  6.680e-01  5.810e-01  1.910e-01  9.550e-01  2.600e-02  6.420e-01\n",
      "  3.700e-02  1.410e-01  5.090e-01 -0.000e+00  6.720e-01  2.600e-02\n",
      "  7.980e-01 -2.000e-02  9.000e-02  5.680e-01  1.240e-01 -2.800e-02\n",
      " -2.800e-02  7.780e-01  7.020e-01 -4.800e-02  8.200e-01 -1.110e-01\n",
      "  2.600e-02  1.940e-01  7.600e-02 -1.080e-01  4.900e-01  8.020e-01\n",
      " -0.000e+00  5.150e-01  1.013e+00  8.890e-01  4.940e-01  4.800e-02\n",
      " -2.020e-01  2.800e-02  8.450e-01 -2.170e-01  9.740e-01 -4.300e-02\n",
      " -1.340e-01  7.050e-01  4.310e-01 -8.900e-02  0.000e+00 -1.900e-02\n",
      "  7.860e-01 -2.800e-01  5.100e-02  9.800e-01  7.700e-01 -0.000e+00\n",
      "  7.750e-01  7.600e-02  7.450e-01  1.218e+00 -0.000e+00  5.480e-01\n",
      "  8.000e-02  0.000e+00 -6.400e-02  6.440e-01  2.370e-01  7.690e-01\n",
      " -0.000e+00  9.410e-01  2.060e-01  6.610e-01  1.450e-01  4.820e-01\n",
      "  0.000e+00  7.200e-02  6.000e-03  8.410e-01  6.960e-01  1.010e-01\n",
      "  7.420e-01  5.600e-02 -2.600e-02  9.900e-02  8.830e-01  8.770e-01\n",
      "  6.400e-02 -2.100e-02  7.800e-02  1.040e-01  7.430e-01 -1.080e-01\n",
      "  7.300e-02  7.880e-01  9.000e-03  7.620e-01  6.800e-02 -1.330e-01\n",
      " -5.200e-02  4.000e-03  1.380e-01 -1.090e-01  8.150e-01  1.170e-01\n",
      " -6.700e-02 -0.000e+00  4.700e-02 -1.090e-01  1.024e+00  3.820e-01\n",
      "  8.940e-01  4.000e-03 -1.070e-01  9.000e-03  1.163e+00  8.900e-02\n",
      "  1.000e-03  7.990e-01 -6.400e-02  9.460e-01  9.160e-01 -8.500e-02\n",
      "  9.900e-02 -9.100e-02  9.360e-01  5.640e-01  9.850e-01 -4.200e-02\n",
      "  6.170e-01  2.300e-02 -6.000e-02  2.490e-01  1.800e-02 -9.000e-03\n",
      "  8.000e-02  1.049e+00  8.730e-01  1.710e-01  1.760e-01  5.730e-01\n",
      " -1.000e-01 -7.700e-02  8.340e-01  7.620e-01  6.780e-01  8.500e-02\n",
      "  9.800e-01  1.500e-01  7.000e-03  1.145e+00  8.130e-01  1.143e+00\n",
      " -8.000e-03  7.740e-01  5.930e-01  1.139e+00  0.000e+00 -6.700e-02\n",
      "  8.120e-01  7.220e-01  6.700e-01  5.500e-02  1.480e-01 -4.500e-02\n",
      " -8.100e-02  5.000e-01  0.000e+00  9.090e-01 -3.400e-02 -2.450e-01\n",
      "  7.150e-01  7.020e-01  5.000e-03  6.060e-01  6.320e-01  6.100e-02\n",
      " -0.000e+00 -1.280e-01  6.800e-02  6.250e-01 -1.090e-01 -6.000e-02\n",
      " -2.000e-02  1.120e-01  7.460e-01 -6.600e-02 -1.310e-01 -1.060e-01\n",
      "  7.540e-01  6.460e-01  7.500e-01  6.750e-01 -1.730e-01  7.560e-01\n",
      " -4.100e-02 -5.400e-02  6.170e-01  7.170e-01 -2.500e-02  4.000e-03\n",
      "  6.700e-01  8.400e-02  7.830e-01 -2.850e-01 -0.000e+00  2.060e-01\n",
      " -1.290e-01  2.100e-02  7.100e-02 -1.870e-01  6.840e-01  6.570e-01\n",
      "  2.420e-01 -1.000e-01 -1.250e-01  7.530e-01 -2.300e-02  9.000e-03\n",
      "  2.100e-02  1.500e-01  2.300e-02  5.000e-02 -1.900e-02  9.500e-01\n",
      " -0.000e+00  2.110e-01  1.740e-01  7.150e-01 -3.600e-02  6.050e-01\n",
      "  9.600e-02  8.000e-02  6.390e-01  6.090e-01  1.330e-01  1.119e+00\n",
      "  1.590e-01  1.610e-01  9.160e-01  4.400e-02 -1.620e-01 -5.900e-02\n",
      "  9.360e-01  5.460e-01  8.050e-01 -2.080e-01 -1.110e-01 -5.600e-02\n",
      " -4.900e-02  4.500e-02  5.400e-02 -2.140e-01  3.800e-02  6.400e-01\n",
      " -3.800e-02  7.190e-01 -6.000e-02  2.330e-01  1.010e-01  8.320e-01\n",
      " -2.020e-01  6.800e-01 -1.530e-01 -3.400e-02  6.510e-01  1.720e-01\n",
      "  2.200e-02  9.450e-01  7.220e-01 -1.650e-01  6.470e-01 -1.140e-01\n",
      " -1.560e-01  9.400e-02  7.640e-01  1.020e-01  9.340e-01  8.460e-01\n",
      "  1.160e-01  6.350e-01  7.520e-01 -1.550e-01  8.660e-01  6.170e-01\n",
      "  9.140e-01  2.700e-02  2.800e-02 -3.000e-03 -2.140e-01  1.164e+00\n",
      "  6.250e-01 -1.430e-01  5.910e-01  1.230e-01 -1.550e-01 -4.700e-02\n",
      "  4.000e-02 -7.000e-03  6.000e-02 -0.000e+00  9.190e-01  4.840e-01\n",
      "  1.088e+00 -1.360e-01  6.670e-01 -3.200e-02  7.970e-01  8.270e-01\n",
      " -1.140e-01  6.370e-01  6.660e-01  1.150e-01 -2.300e-02  6.830e-01\n",
      " -3.800e-02  6.100e-02  0.000e+00  5.350e-01 -9.500e-02  2.600e-02\n",
      " -3.500e-02  8.810e-01  1.820e-01  1.160e-01 -1.720e-01  7.210e-01\n",
      " -2.200e-02 -4.600e-02  1.100e-02  6.900e-02  8.430e-01  1.550e-01\n",
      "  8.470e-01  1.060e-01  9.800e-02 -6.100e-02  0.000e+00 -1.070e-01\n",
      "  1.030e-01  7.900e-01  9.700e-02  8.800e-01 -7.000e-03  7.400e-02\n",
      " -4.000e-03  6.410e-01  5.650e-01  6.300e-02  7.530e-01  8.350e-01\n",
      "  7.980e-01 -3.200e-02  6.130e-01 -5.100e-02 -4.900e-02  5.410e-01\n",
      "  9.490e-01 -2.380e-01  0.000e+00 -2.120e-01  1.014e+00 -2.400e-02\n",
      " -1.240e-01  7.600e-01  1.066e+00  2.100e-02 -3.400e-02  7.520e-01\n",
      "  9.400e-01  6.850e-01  6.900e-01 -1.010e-01 -1.100e-02  1.023e+00\n",
      "  9.500e-01  5.530e-01  9.280e-01  8.300e-02  7.600e-01  1.038e+00\n",
      "  3.300e-02  9.830e-01  1.270e-01  8.210e-01  1.440e-01  4.400e-02\n",
      "  8.100e-02  5.200e-02  9.940e-01  2.660e-01  6.960e-01  1.300e-01\n",
      " -1.200e-02 -0.000e+00  0.000e+00  9.180e-01 -1.280e-01  7.510e-01\n",
      "  6.870e-01 -1.220e-01  7.410e-01  2.350e-01 -9.700e-02  1.024e+00\n",
      "  8.190e-01 -1.050e-01  1.014e+00 -2.000e-03 -2.300e-02  7.010e-01\n",
      "  8.300e-02  1.005e+00  6.190e-01  1.040e-01  1.700e-02 -7.100e-02\n",
      "  8.300e-01  9.050e-01  8.200e-01 -6.100e-02  8.100e-02  0.000e+00\n",
      "  3.000e-02  5.340e-01  2.800e-02  2.080e-01  3.800e-02  8.800e-02\n",
      " -1.000e-01 -6.000e-02  9.020e-01 -3.500e-02  6.320e-01  8.570e-01\n",
      "  7.430e-01 -2.120e-01  8.420e-01 -3.600e-02  1.870e-01  7.420e-01\n",
      "  6.790e-01  7.080e-01 -6.700e-02  3.100e-02 -3.900e-02  9.380e-01\n",
      "  0.000e+00  7.930e-01  1.032e+00  5.290e-01 -2.040e-01 -1.500e-02\n",
      "  1.290e-01  8.830e-01  4.000e-02  4.900e-02  7.030e-01  8.420e-01\n",
      "  0.000e+00  5.000e-03 -5.200e-02 -8.500e-02  9.600e-01  6.130e-01\n",
      " -2.000e-02 -1.400e-02  9.560e-01  3.040e-01 -1.070e-01  8.970e-01\n",
      "  5.900e-02 -2.500e-02  8.300e-02  0.000e+00  9.290e-01  2.200e-02\n",
      " -5.400e-02  7.250e-01  5.910e-01  6.370e-01  2.500e-02 -4.800e-02\n",
      "  9.000e-03  9.240e-01  5.350e-01  0.000e+00  9.790e-01  2.600e-01\n",
      "  2.060e-01  7.430e-01  8.700e-01 -1.410e-01  3.110e-01  9.210e-01\n",
      "  8.660e-01  7.590e-01  1.230e-01  7.310e-01  8.170e-01  1.100e-02\n",
      "  9.350e-01  0.000e+00 -2.700e-02  9.420e-01 -9.700e-02  1.450e-01\n",
      "  6.300e-02  7.530e-01  4.800e-02  0.000e+00 -4.500e-02  9.780e-01\n",
      "  1.500e-01  1.260e-01 -2.990e-01  1.200e-01  6.980e-01  1.700e-02\n",
      " -5.000e-03  6.230e-01 -1.760e-01  8.030e-01 -1.600e-01  8.870e-01\n",
      " -4.300e-02  0.000e+00 -1.100e-02  0.000e+00  8.810e-01 -8.600e-02\n",
      " -2.600e-02 -1.130e-01  5.630e-01  7.730e-01  7.900e-02  1.043e+00\n",
      " -1.360e-01 -1.630e-01  1.050e-01 -7.000e-03 -1.260e-01  8.320e-01\n",
      "  7.820e-01  0.000e+00 -4.800e-02 -5.300e-02  9.930e-01  6.420e-01\n",
      "  8.780e-01 -7.200e-02  5.180e-01  7.110e-01  7.240e-01 -7.900e-02\n",
      "  6.000e-03  1.310e-01  4.300e-02 -2.950e-01  2.300e-02  9.660e-01\n",
      "  1.140e-01 -1.360e-01  9.900e-02 -9.300e-02 -1.900e-02 -2.710e-01\n",
      "  2.080e-01  2.740e-01  1.800e-01  7.120e-01  2.530e-01 -5.100e-02\n",
      " -1.510e-01  7.500e-02 -4.300e-02  4.200e-02  8.240e-01  6.340e-01\n",
      "  7.130e-01 -0.000e+00 -8.600e-02 -2.000e-02 -8.000e-03  9.820e-01\n",
      "  2.500e-02  6.440e-01  8.850e-01  6.000e-03  7.940e-01  8.420e-01\n",
      "  6.120e-01 -5.000e-02 -8.500e-02 -2.600e-02 -3.500e-02  2.400e-02\n",
      " -9.600e-02  8.560e-01  8.710e-01  6.910e-01  6.780e-01  0.000e+00\n",
      "  7.410e-01  7.750e-01  4.000e-02 -5.900e-02  9.190e-01  1.500e-02\n",
      " -4.700e-02  3.900e-01  6.000e-03  0.000e+00  1.021e+00  6.350e-01\n",
      "  1.080e-01  4.330e-01  1.320e-01 -1.760e-01 -1.940e-01  1.700e-02\n",
      "  4.700e-02  6.670e-01 -1.560e-01 -3.300e-02  1.900e-02  3.300e-02\n",
      "  5.880e-01  6.640e-01  0.000e+00  1.027e+00 -8.400e-02 -2.700e-02\n",
      "  3.000e-02  1.400e-01  3.900e-02  7.760e-01 -7.500e-02  2.280e-01\n",
      "  5.300e-02  1.290e-01 -1.280e-01  7.880e-01 -1.310e-01  2.400e-02\n",
      "  7.160e-01  5.600e-02 -6.700e-02  5.530e-01  9.230e-01  8.390e-01\n",
      " -6.100e-02  1.480e-01  3.000e-02 -4.300e-02  9.840e-01  7.750e-01\n",
      " -6.300e-02  6.810e-01  8.110e-01  1.085e+00  3.330e-01  1.570e-01\n",
      "  5.210e-01  1.080e+00  1.990e-01  6.100e-02  8.970e-01  1.660e-01\n",
      "  7.420e-01 -6.400e-02  7.250e-01 -4.600e-02  6.610e-01 -1.700e-02\n",
      "  8.580e-01 -1.260e-01  2.200e-01 -1.310e-01  6.200e-02  1.030e+00\n",
      "  7.990e-01 -1.000e-03 -3.080e-01  7.390e-01  1.093e+00  6.880e-01\n",
      "  8.570e-01 -1.410e-01  7.960e-01  4.530e-01  7.230e-01 -1.650e-01\n",
      "  6.930e-01  1.500e-02  1.012e+00  1.230e-01  5.790e-01  8.040e-01\n",
      "  7.300e-01  1.000e-03  9.860e-01 -0.000e+00  7.700e-02  9.060e-01\n",
      "  1.600e-02 -8.600e-02 -1.700e-01  6.710e-01 -8.000e-03  7.080e-01\n",
      "  5.000e-03 -1.550e-01  1.234e+00 -1.270e-01 -1.130e-01 -1.310e-01\n",
      " -1.660e-01  7.400e-02  9.790e-01 -3.200e-02  6.730e-01  7.840e-01\n",
      " -2.300e-02  2.900e-02  3.600e-02  8.180e-01].\n",
      "收敛容限tol=1e-05条件下, 利用ADMM算法求解的最终结果为(结果保留3位小数)\n",
      "[ 5.960e-01  9.840e-01  2.680e-01  9.350e-01  2.680e-01  9.500e-02\n",
      " -2.200e-02 -7.300e-02  8.990e-01  8.360e-01 -1.430e-01  1.460e-01\n",
      " -1.280e-01  8.690e-01  7.700e-02  9.380e-01  1.000e-03 -2.900e-02\n",
      "  5.300e-02  0.000e+00 -5.400e-02  9.660e-01  9.460e-01 -2.240e-01\n",
      "  2.500e-02 -6.000e-03 -1.800e-01  7.980e-01  1.340e-01  7.990e-01\n",
      " -7.200e-02  1.167e+00  8.560e-01  6.600e-02  7.440e-01  4.790e-01\n",
      "  7.990e-01  6.440e-01  9.620e-01 -3.100e-02  1.130e-01 -2.000e-02\n",
      "  7.170e-01 -3.100e-02 -5.500e-02  1.300e-02  3.000e-02  5.000e-02\n",
      "  7.550e-01 -9.000e-03 -2.550e-01  1.111e+00 -0.000e+00 -2.570e-01\n",
      " -6.800e-02 -7.300e-02  5.850e-01  7.750e-01  8.900e-02  6.360e-01\n",
      "  0.000e+00 -1.870e-01  1.540e-01  8.670e-01  7.870e-01  1.055e+00\n",
      "  4.840e-01 -2.500e-02  6.740e-01  6.930e-01  9.830e-01 -3.800e-02\n",
      "  7.980e-01  0.000e+00  2.260e-01  6.530e-01  7.550e-01  2.130e-01\n",
      "  7.900e-01  1.100e-02  7.920e-01  8.700e-01 -9.800e-02  1.002e+00\n",
      " -2.300e-02  1.008e+00  5.200e-02 -3.290e-01  0.000e+00  8.030e-01\n",
      "  6.460e-01 -7.200e-02  8.900e-01  6.620e-01  7.940e-01 -1.830e-01\n",
      "  7.850e-01 -1.900e-01  6.810e-01  9.870e-01  1.010e+00  5.000e-03\n",
      " -2.600e-01  8.820e-01 -7.600e-02  0.000e+00 -5.300e-02  9.890e-01\n",
      " -3.800e-02 -3.200e-02  7.000e-03  8.880e-01  5.170e-01  7.760e-01\n",
      "  6.000e-03  7.100e-02  9.610e-01 -1.600e-02  1.147e+00 -7.000e-03\n",
      "  9.950e-01  7.060e-01 -1.000e-02  9.860e-01 -2.600e-02 -1.190e-01\n",
      "  6.580e-01 -5.000e-02  1.500e-01  7.340e-01  3.000e-02  3.000e-03\n",
      "  8.320e-01 -3.200e-02 -7.700e-02  1.204e+00 -3.700e-02  0.000e+00\n",
      "  1.510e-01 -7.100e-02 -9.000e-02  1.010e+00 -1.100e-02 -5.500e-02\n",
      "  9.220e-01  8.640e-01 -1.200e-02  8.450e-01  6.360e-01  0.000e+00\n",
      "  7.050e-01  9.170e-01 -4.400e-02 -2.600e-02 -8.200e-02 -1.310e-01\n",
      "  1.410e-01  9.980e-01  9.870e-01  6.350e-01 -0.000e+00  5.230e-01\n",
      "  8.920e-01  6.710e-01  3.000e-02  6.100e-02  6.040e-01  7.330e-01\n",
      "  6.490e-01 -1.340e-01  5.820e-01  7.560e-01  8.220e-01 -1.800e-02\n",
      "  0.000e+00 -1.750e-01 -5.500e-02  7.020e-01 -3.700e-02  8.720e-01\n",
      "  8.120e-01  8.980e-01  1.070e+00  2.190e-01  0.000e+00  9.290e-01\n",
      " -0.000e+00 -1.540e-01  3.400e-02 -1.500e-02 -9.000e-03 -1.800e-02\n",
      "  9.440e-01  1.026e+00 -1.410e-01  2.050e-01  1.230e-01  3.100e-02\n",
      " -4.000e-03  8.000e-02  9.440e-01  4.200e-02 -7.700e-02  6.160e-01\n",
      " -0.000e+00  7.570e-01  1.124e+00  8.250e-01 -5.700e-02  7.170e-01\n",
      "  6.220e-01  1.750e-01  7.240e-01  8.720e-01  2.800e-02  9.200e-02\n",
      "  0.000e+00  1.025e+00  1.480e-01  6.330e-01  7.500e-01 -2.300e-02\n",
      "  1.390e-01  8.750e-01  6.590e-01  1.660e-01 -9.200e-02 -2.530e-01\n",
      " -2.120e-01  7.010e-01  1.200e-01  3.400e-02  9.740e-01  9.120e-01\n",
      " -1.000e-02 -5.400e-02  7.600e-02  2.300e-02  6.800e-02  1.069e+00\n",
      " -2.300e-01 -5.400e-02 -9.400e-02  7.940e-01  1.100e-01  2.000e-02\n",
      " -5.400e-02  5.100e-02 -1.000e-03 -9.600e-02  1.010e-01 -0.000e+00\n",
      "  1.680e-01  2.530e-01  8.700e-01  8.520e-01  8.000e-03 -4.400e-02\n",
      "  2.370e-01 -6.100e-02 -2.100e-02 -7.800e-02 -1.180e-01 -7.000e-02\n",
      "  8.680e-01  6.520e-01  7.200e-01  1.380e-01 -1.890e-01  6.720e-01\n",
      "  6.000e-01 -0.000e+00 -6.100e-02 -0.000e+00  0.000e+00  4.070e-01\n",
      "  6.680e-01  5.810e-01  1.910e-01  9.550e-01  2.600e-02  6.420e-01\n",
      "  3.700e-02  1.410e-01  5.090e-01  0.000e+00  6.720e-01  2.600e-02\n",
      "  7.980e-01 -2.000e-02  9.000e-02  5.680e-01  1.240e-01 -2.800e-02\n",
      " -2.800e-02  7.780e-01  7.020e-01 -4.800e-02  8.200e-01 -1.110e-01\n",
      "  2.600e-02  1.940e-01  7.600e-02 -1.080e-01  4.900e-01  8.020e-01\n",
      " -0.000e+00  5.150e-01  1.013e+00  8.890e-01  4.940e-01  4.800e-02\n",
      " -2.020e-01  2.800e-02  8.450e-01 -2.170e-01  9.740e-01 -4.300e-02\n",
      " -1.340e-01  7.050e-01  4.310e-01 -8.900e-02  0.000e+00 -1.900e-02\n",
      "  7.860e-01 -2.800e-01  5.100e-02  9.800e-01  7.700e-01 -0.000e+00\n",
      "  7.750e-01  7.600e-02  7.450e-01  1.218e+00 -0.000e+00  5.480e-01\n",
      "  8.000e-02  0.000e+00 -6.400e-02  6.440e-01  2.370e-01  7.690e-01\n",
      "  0.000e+00  9.410e-01  2.060e-01  6.610e-01  1.450e-01  4.820e-01\n",
      "  0.000e+00  7.200e-02  6.000e-03  8.410e-01  6.960e-01  1.010e-01\n",
      "  7.420e-01  5.600e-02 -2.600e-02  9.900e-02  8.830e-01  8.770e-01\n",
      "  6.400e-02 -2.100e-02  7.800e-02  1.040e-01  7.430e-01 -1.080e-01\n",
      "  7.300e-02  7.880e-01  9.000e-03  7.620e-01  6.800e-02 -1.330e-01\n",
      " -5.200e-02  4.000e-03  1.380e-01 -1.090e-01  8.150e-01  1.170e-01\n",
      " -6.700e-02  0.000e+00  4.700e-02 -1.090e-01  1.024e+00  3.820e-01\n",
      "  8.940e-01  4.000e-03 -1.070e-01  9.000e-03  1.163e+00  8.900e-02\n",
      "  1.000e-03  7.990e-01 -6.400e-02  9.460e-01  9.160e-01 -8.500e-02\n",
      "  9.900e-02 -9.100e-02  9.360e-01  5.640e-01  9.850e-01 -4.200e-02\n",
      "  6.170e-01  2.300e-02 -6.000e-02  2.490e-01  1.800e-02 -9.000e-03\n",
      "  8.000e-02  1.049e+00  8.730e-01  1.710e-01  1.760e-01  5.730e-01\n",
      " -1.000e-01 -7.700e-02  8.340e-01  7.620e-01  6.780e-01  8.500e-02\n",
      "  9.800e-01  1.500e-01  7.000e-03  1.145e+00  8.130e-01  1.143e+00\n",
      " -8.000e-03  7.740e-01  5.930e-01  1.139e+00  0.000e+00 -6.700e-02\n",
      "  8.120e-01  7.220e-01  6.700e-01  5.500e-02  1.480e-01 -4.500e-02\n",
      " -8.100e-02  5.000e-01  0.000e+00  9.090e-01 -3.400e-02 -2.450e-01\n",
      "  7.150e-01  7.020e-01  5.000e-03  6.060e-01  6.320e-01  6.100e-02\n",
      " -0.000e+00 -1.280e-01  6.800e-02  6.250e-01 -1.090e-01 -6.000e-02\n",
      " -2.000e-02  1.120e-01  7.460e-01 -6.600e-02 -1.310e-01 -1.060e-01\n",
      "  7.540e-01  6.460e-01  7.500e-01  6.750e-01 -1.730e-01  7.560e-01\n",
      " -4.100e-02 -5.400e-02  6.170e-01  7.170e-01 -2.500e-02  4.000e-03\n",
      "  6.700e-01  8.400e-02  7.830e-01 -2.850e-01 -0.000e+00  2.060e-01\n",
      " -1.290e-01  2.100e-02  7.100e-02 -1.870e-01  6.840e-01  6.570e-01\n",
      "  2.420e-01 -1.000e-01 -1.250e-01  7.530e-01 -2.300e-02  9.000e-03\n",
      "  2.100e-02  1.500e-01  2.300e-02  5.000e-02 -1.800e-02  9.500e-01\n",
      "  0.000e+00  2.110e-01  1.740e-01  7.150e-01 -3.600e-02  6.050e-01\n",
      "  9.600e-02  8.000e-02  6.390e-01  6.090e-01  1.330e-01  1.119e+00\n",
      "  1.590e-01  1.610e-01  9.160e-01  4.400e-02 -1.620e-01 -5.900e-02\n",
      "  9.350e-01  5.460e-01  8.050e-01 -2.080e-01 -1.110e-01 -5.600e-02\n",
      " -5.000e-02  4.500e-02  5.400e-02 -2.140e-01  3.800e-02  6.400e-01\n",
      " -3.800e-02  7.190e-01 -6.000e-02  2.330e-01  1.010e-01  8.320e-01\n",
      " -2.020e-01  6.800e-01 -1.530e-01 -3.400e-02  6.510e-01  1.720e-01\n",
      "  2.200e-02  9.450e-01  7.220e-01 -1.650e-01  6.470e-01 -1.140e-01\n",
      " -1.560e-01  9.400e-02  7.640e-01  1.020e-01  9.340e-01  8.460e-01\n",
      "  1.160e-01  6.350e-01  7.520e-01 -1.550e-01  8.660e-01  6.170e-01\n",
      "  9.140e-01  2.700e-02  2.800e-02 -3.000e-03 -2.140e-01  1.164e+00\n",
      "  6.250e-01 -1.430e-01  5.910e-01  1.230e-01 -1.550e-01 -4.700e-02\n",
      "  4.000e-02 -7.000e-03  6.000e-02  0.000e+00  9.190e-01  4.840e-01\n",
      "  1.088e+00 -1.360e-01  6.670e-01 -3.200e-02  7.970e-01  8.270e-01\n",
      " -1.140e-01  6.370e-01  6.670e-01  1.150e-01 -2.300e-02  6.830e-01\n",
      " -3.800e-02  6.100e-02  0.000e+00  5.350e-01 -9.500e-02  2.600e-02\n",
      " -3.500e-02  8.810e-01  1.820e-01  1.160e-01 -1.720e-01  7.210e-01\n",
      " -2.200e-02 -4.600e-02  1.100e-02  6.900e-02  8.430e-01  1.550e-01\n",
      "  8.470e-01  1.060e-01  9.800e-02 -6.100e-02  0.000e+00 -1.070e-01\n",
      "  1.030e-01  7.900e-01  9.700e-02  8.800e-01 -7.000e-03  7.500e-02\n",
      " -4.000e-03  6.410e-01  5.650e-01  6.300e-02  7.530e-01  8.350e-01\n",
      "  7.980e-01 -3.200e-02  6.130e-01 -5.100e-02 -4.900e-02  5.410e-01\n",
      "  9.490e-01 -2.380e-01  0.000e+00 -2.120e-01  1.014e+00 -2.400e-02\n",
      " -1.240e-01  7.600e-01  1.066e+00  2.100e-02 -3.400e-02  7.520e-01\n",
      "  9.400e-01  6.850e-01  6.900e-01 -1.010e-01 -1.100e-02  1.023e+00\n",
      "  9.500e-01  5.530e-01  9.280e-01  8.300e-02  7.600e-01  1.038e+00\n",
      "  3.300e-02  9.830e-01  1.270e-01  8.210e-01  1.440e-01  4.400e-02\n",
      "  8.100e-02  5.200e-02  9.940e-01  2.660e-01  6.950e-01  1.300e-01\n",
      " -1.200e-02 -0.000e+00  0.000e+00  9.180e-01 -1.280e-01  7.510e-01\n",
      "  6.870e-01 -1.220e-01  7.410e-01  2.350e-01 -9.700e-02  1.024e+00\n",
      "  8.190e-01 -1.050e-01  1.014e+00 -2.000e-03 -2.300e-02  7.010e-01\n",
      "  8.300e-02  1.005e+00  6.190e-01  1.040e-01  1.700e-02 -7.100e-02\n",
      "  8.300e-01  9.050e-01  8.200e-01 -6.100e-02  8.100e-02  0.000e+00\n",
      "  3.000e-02  5.340e-01  2.800e-02  2.080e-01  3.800e-02  8.800e-02\n",
      " -1.000e-01 -6.000e-02  9.020e-01 -3.500e-02  6.320e-01  8.570e-01\n",
      "  7.430e-01 -2.120e-01  8.420e-01 -3.600e-02  1.870e-01  7.420e-01\n",
      "  6.790e-01  7.080e-01 -6.700e-02  3.000e-02 -3.900e-02  9.380e-01\n",
      "  0.000e+00  7.930e-01  1.032e+00  5.290e-01 -2.040e-01 -1.500e-02\n",
      "  1.290e-01  8.830e-01  4.000e-02  4.900e-02  7.030e-01  8.420e-01\n",
      "  0.000e+00  5.000e-03 -5.200e-02 -8.500e-02  9.600e-01  6.130e-01\n",
      " -2.000e-02 -1.400e-02  9.560e-01  3.040e-01 -1.070e-01  8.970e-01\n",
      "  5.800e-02 -2.500e-02  8.300e-02  0.000e+00  9.290e-01  2.200e-02\n",
      " -5.400e-02  7.250e-01  5.910e-01  6.370e-01  2.500e-02 -4.800e-02\n",
      "  9.000e-03  9.240e-01  5.350e-01 -0.000e+00  9.790e-01  2.600e-01\n",
      "  2.060e-01  7.430e-01  8.700e-01 -1.410e-01  3.110e-01  9.210e-01\n",
      "  8.660e-01  7.590e-01  1.230e-01  7.310e-01  8.170e-01  1.100e-02\n",
      "  9.350e-01 -0.000e+00 -2.700e-02  9.420e-01 -9.700e-02  1.450e-01\n",
      "  6.300e-02  7.530e-01  4.800e-02  0.000e+00 -4.500e-02  9.780e-01\n",
      "  1.500e-01  1.260e-01 -2.990e-01  1.200e-01  6.980e-01  1.700e-02\n",
      " -5.000e-03  6.230e-01 -1.760e-01  8.030e-01 -1.600e-01  8.870e-01\n",
      " -4.300e-02  0.000e+00 -1.100e-02  0.000e+00  8.810e-01 -8.600e-02\n",
      " -2.600e-02 -1.130e-01  5.630e-01  7.730e-01  7.900e-02  1.043e+00\n",
      " -1.360e-01 -1.630e-01  1.050e-01 -7.000e-03 -1.260e-01  8.320e-01\n",
      "  7.820e-01  0.000e+00 -4.800e-02 -5.300e-02  9.930e-01  6.420e-01\n",
      "  8.780e-01 -7.200e-02  5.180e-01  7.110e-01  7.240e-01 -7.900e-02\n",
      "  6.000e-03  1.310e-01  4.300e-02 -2.950e-01  2.300e-02  9.660e-01\n",
      "  1.140e-01 -1.360e-01  9.900e-02 -9.300e-02 -1.900e-02 -2.720e-01\n",
      "  2.080e-01  2.740e-01  1.800e-01  7.120e-01  2.530e-01 -5.100e-02\n",
      " -1.520e-01  7.500e-02 -4.300e-02  4.200e-02  8.240e-01  6.340e-01\n",
      "  7.130e-01 -0.000e+00 -8.600e-02 -2.000e-02 -8.000e-03  9.820e-01\n",
      "  2.500e-02  6.440e-01  8.850e-01  6.000e-03  7.940e-01  8.420e-01\n",
      "  6.120e-01 -5.000e-02 -8.500e-02 -2.600e-02 -3.500e-02  2.400e-02\n",
      " -9.600e-02  8.560e-01  8.710e-01  6.910e-01  6.780e-01 -0.000e+00\n",
      "  7.410e-01  7.750e-01  4.000e-02 -5.900e-02  9.190e-01  1.500e-02\n",
      " -4.700e-02  3.900e-01  6.000e-03  0.000e+00  1.021e+00  6.350e-01\n",
      "  1.080e-01  4.330e-01  1.320e-01 -1.760e-01 -1.940e-01  1.700e-02\n",
      "  4.700e-02  6.670e-01 -1.560e-01 -3.400e-02  1.900e-02  3.300e-02\n",
      "  5.880e-01  6.640e-01  0.000e+00  1.027e+00 -8.400e-02 -2.700e-02\n",
      "  3.000e-02  1.400e-01  3.900e-02  7.760e-01 -7.500e-02  2.280e-01\n",
      "  5.300e-02  1.290e-01 -1.280e-01  7.880e-01 -1.310e-01  2.400e-02\n",
      "  7.160e-01  5.600e-02 -6.700e-02  5.530e-01  9.230e-01  8.390e-01\n",
      " -6.100e-02  1.480e-01  3.000e-02 -4.300e-02  9.840e-01  7.750e-01\n",
      " -6.300e-02  6.810e-01  8.110e-01  1.085e+00  3.330e-01  1.570e-01\n",
      "  5.210e-01  1.080e+00  1.990e-01  6.100e-02  8.970e-01  1.660e-01\n",
      "  7.420e-01 -6.400e-02  7.250e-01 -4.600e-02  6.610e-01 -1.700e-02\n",
      "  8.580e-01 -1.260e-01  2.200e-01 -1.310e-01  6.200e-02  1.030e+00\n",
      "  7.990e-01 -1.000e-03 -3.080e-01  7.390e-01  1.093e+00  6.880e-01\n",
      "  8.570e-01 -1.410e-01  7.960e-01  4.530e-01  7.230e-01 -1.650e-01\n",
      "  6.930e-01  1.500e-02  1.012e+00  1.230e-01  5.790e-01  8.040e-01\n",
      "  7.300e-01  1.000e-03  9.860e-01 -0.000e+00  7.700e-02  9.060e-01\n",
      "  1.600e-02 -8.600e-02 -1.700e-01  6.710e-01 -8.000e-03  7.080e-01\n",
      "  5.000e-03 -1.550e-01  1.234e+00 -1.270e-01 -1.130e-01 -1.310e-01\n",
      " -1.660e-01  7.400e-02  9.790e-01 -3.200e-02  6.730e-01  7.840e-01\n",
      " -2.300e-02  2.900e-02  3.600e-02  8.180e-01].\n",
      "收敛容限tol=1e-05条件下, 利用PG算法求解的最终结果为(结果保留3位小数)\n",
      "[ 8.300e-01  4.000e-03  7.690e-01  6.410e-01 -2.000e-03 -1.200e-02\n",
      " -4.000e-03 -1.000e-03  6.430e-01  6.460e-01  8.940e-01 -6.000e-03\n",
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      " -2.000e-03  7.420e-01 -6.000e-03  4.000e-03  7.260e-01  8.120e-01\n",
      "  1.800e-02 -1.000e-02 -4.000e-03  2.200e-02].\n",
      "收敛容限tol=1e-05条件下, 利用APG算法求解的最终结果为(结果保留3位小数)\n",
      "[ 8.300e-01  4.000e-03  7.690e-01  6.410e-01 -2.000e-03 -1.200e-02\n",
      " -4.000e-03 -1.000e-03  6.430e-01  6.460e-01  8.940e-01 -6.000e-03\n",
      "  1.400e-02  2.800e-02 -8.000e-03  4.000e-03 -2.000e-03  9.320e-01\n",
      "  9.920e-01  2.000e-03  9.670e-01 -4.000e-03  7.930e-01  8.840e-01\n",
      "  8.490e-01 -5.000e-03  6.580e-01  9.000e-03  6.200e-01  9.350e-01\n",
      " -1.100e-02 -1.000e-03  7.900e-01 -1.400e-02 -1.100e-02 -1.800e-02\n",
      "  7.630e-01 -1.000e-03  1.000e-02  4.000e-03  7.320e-01  8.200e-01\n",
      "  7.960e-01 -6.000e-03  5.000e-03  0.000e+00  6.330e-01 -2.800e-02\n",
      "  9.740e-01 -2.000e-03 -7.000e-03  7.180e-01  9.040e-01  9.850e-01\n",
      "  7.460e-01  3.000e-03  8.720e-01  6.580e-01  7.060e-01  6.940e-01\n",
      " -3.000e-03  1.000e-02  7.980e-01 -1.400e-02  9.820e-01 -0.000e+00\n",
      " -5.000e-03  1.006e+00  6.720e-01  2.000e-03  9.800e-01  1.000e-03\n",
      "  9.000e-03  8.610e-01  8.700e-01  1.000e-03  7.530e-01 -1.000e-02\n",
      "  8.000e-03  4.000e-03  0.000e+00  7.000e-01  9.770e-01 -6.000e-03\n",
      "  1.000e-03 -8.000e-03  6.000e-03  8.080e-01  7.170e-01 -3.000e-03\n",
      "  9.740e-01  8.330e-01  9.000e-03  1.600e-02  8.670e-01 -9.000e-03\n",
      "  6.330e-01  7.340e-01 -5.000e-03  7.000e-03  3.000e-03  8.280e-01\n",
      "  6.000e-03  3.000e-03  6.060e-01  1.300e-02  9.920e-01  0.000e+00\n",
      "  1.100e-02  9.320e-01  1.001e+00  9.780e-01 -7.000e-03  6.480e-01\n",
      "  6.770e-01 -1.200e-02  1.100e-02  3.000e-03  1.000e-03  7.050e-01\n",
      "  7.500e-01 -1.000e-03  8.950e-01  3.000e-03  6.250e-01  8.580e-01\n",
      " -0.000e+00  8.060e-01  0.000e+00  6.950e-01  9.370e-01  7.150e-01\n",
      " -7.000e-03  6.960e-01  8.240e-01  7.100e-01 -3.000e-03  9.050e-01\n",
      "  6.400e-01  6.200e-01 -7.000e-03  5.000e-03 -3.000e-03  7.870e-01\n",
      "  1.300e-02 -7.000e-03 -1.600e-02  1.000e-02 -2.000e-03  6.770e-01\n",
      " -4.000e-03  6.000e-03  9.720e-01 -2.100e-02  6.830e-01  5.000e-03\n",
      "  9.860e-01  9.360e-01  6.000e-03 -7.000e-03 -1.000e-02 -1.000e-02\n",
      "  3.000e-03 -1.100e-02 -7.000e-03  2.400e-02  3.000e-03  7.810e-01\n",
      "  8.610e-01  1.400e-02  1.000e-02  7.960e-01 -2.000e-03  9.620e-01\n",
      "  6.440e-01 -1.700e-02  7.000e-03  7.590e-01  8.450e-01  1.700e-02\n",
      " -9.000e-03  1.300e-02 -1.500e-02  8.400e-01 -4.000e-03 -1.200e-02\n",
      " -1.000e-02  7.720e-01  6.060e-01  9.490e-01  9.700e-01  6.000e-03\n",
      "  1.000e-03  6.920e-01  7.000e-03  9.230e-01 -1.000e-03  7.000e-03\n",
      "  6.140e-01  9.350e-01  9.920e-01  2.100e-02 -1.600e-02  1.500e-02\n",
      "  6.810e-01  1.100e-02 -1.000e-03  5.000e-03  2.000e-02  6.760e-01\n",
      "  2.600e-02  8.730e-01  8.560e-01  7.340e-01 -1.000e-03 -3.000e-03\n",
      " -4.000e-03  6.450e-01  9.000e-03  7.390e-01 -9.000e-03  3.000e-03\n",
      "  8.840e-01  5.850e-01 -8.000e-03 -4.000e-03  2.000e-03  8.590e-01\n",
      "  7.990e-01  3.000e-03 -2.500e-02  4.000e-03 -3.000e-03  7.000e-03\n",
      "  8.530e-01 -4.000e-03  1.000e-02  8.000e-03  9.140e-01  1.500e-02\n",
      " -2.200e-02 -3.000e-03  7.810e-01 -1.000e-03 -4.000e-03  7.060e-01\n",
      "  8.670e-01  7.740e-01  1.800e-02 -1.600e-02  4.000e-03  8.990e-01\n",
      " -2.000e-02  7.490e-01  7.760e-01  8.300e-01  4.000e-03  9.000e-03\n",
      " -2.000e-03 -6.000e-03  4.000e-03 -3.000e-03  8.940e-01  5.000e-03\n",
      " -5.000e-03 -6.000e-03 -0.000e+00  6.160e-01  9.400e-01  9.170e-01\n",
      " -4.000e-03  6.250e-01  9.770e-01  7.000e-03  8.680e-01  9.500e-01\n",
      "  6.630e-01  7.740e-01  1.200e-02  9.370e-01  8.320e-01  1.000e-03\n",
      "  9.890e-01  7.590e-01 -7.000e-03  8.620e-01  8.920e-01  9.660e-01\n",
      " -5.000e-03  3.000e-03 -7.000e-03  7.900e-01  9.240e-01  3.000e-03\n",
      "  1.000e-03  0.000e+00 -2.200e-02  1.100e-02  9.260e-01  8.110e-01\n",
      "  1.800e-02 -5.000e-03  2.200e-02  1.400e-02  7.720e-01  2.400e-02\n",
      "  1.000e-02  7.430e-01  6.000e-03  8.270e-01 -1.100e-02  8.700e-01\n",
      "  8.000e-03  7.470e-01  9.050e-01  4.000e-03  9.280e-01  6.420e-01\n",
      "  7.900e-01  0.000e+00  8.960e-01  5.000e-03  2.200e-02  6.000e-03\n",
      "  6.530e-01  8.580e-01  7.300e-01 -1.200e-02 -6.000e-03 -6.000e-03\n",
      "  7.000e-03 -1.400e-02 -1.300e-02  5.000e-03  9.370e-01 -8.000e-03\n",
      "  2.700e-02  2.000e-02  5.000e-03  8.370e-01  1.400e-02 -3.000e-03\n",
      "  6.120e-01 -2.800e-02  8.720e-01  6.010e-01 -2.000e-03 -1.100e-02\n",
      "  1.500e-02  6.730e-01  6.010e-01 -3.000e-03  2.900e-02 -2.900e-02\n",
      "  9.550e-01 -2.000e-03  7.280e-01  6.490e-01 -1.000e-03  9.040e-01\n",
      " -9.000e-03  1.100e-02  7.810e-01  2.000e-03 -7.000e-03  6.490e-01\n",
      "  5.000e-03  6.810e-01  6.000e-03  2.000e-03 -1.200e-02 -8.000e-03\n",
      " -7.000e-03 -1.000e-03  1.200e-02  9.390e-01  8.610e-01  6.250e-01\n",
      " -1.600e-02  4.000e-03  6.120e-01  6.320e-01  9.000e-03  1.700e-02\n",
      " -1.200e-02 -4.000e-03  8.000e-03  6.300e-01  9.510e-01  8.000e-03\n",
      " -1.500e-02 -1.000e-03  7.060e-01  9.130e-01  8.170e-01  1.200e-02\n",
      " -2.000e-03  8.070e-01 -1.400e-02  7.630e-01  9.110e-01  7.190e-01\n",
      "  9.400e-01  9.630e-01  7.000e-03 -2.000e-03  2.000e-03 -8.000e-03\n",
      "  6.530e-01  1.300e-02  6.930e-01 -1.100e-02  8.960e-01  9.000e-03\n",
      "  6.960e-01  7.480e-01  2.000e-03  6.870e-01 -1.300e-02  4.000e-03\n",
      "  7.420e-01  6.260e-01 -9.000e-03  6.810e-01  1.300e-02  1.100e-02\n",
      "  9.230e-01  6.670e-01  1.500e-02  7.250e-01  9.770e-01 -8.000e-03\n",
      "  8.370e-01 -0.000e+00  3.000e-03  9.000e-03 -1.100e-02 -7.000e-03\n",
      "  8.170e-01  1.014e+00  4.000e-03  8.290e-01  7.210e-01 -5.000e-03\n",
      " -3.000e-03  6.640e-01 -2.300e-02  9.660e-01  6.750e-01  2.000e-03\n",
      "  8.170e-01  3.000e-03  5.000e-03  8.410e-01 -5.000e-03  9.800e-01\n",
      "  7.670e-01  3.000e-03  8.170e-01  3.000e-03  1.100e-02  1.100e-02\n",
      "  3.000e-02  9.000e-01 -1.000e-03 -1.000e-03 -1.000e-03  8.730e-01\n",
      "  1.400e-02 -1.000e-03  1.000e-02  1.500e-02 -0.000e+00 -1.200e-02\n",
      "  9.000e-03  2.000e-03  6.950e-01  7.530e-01  9.470e-01 -1.200e-02\n",
      "  7.590e-01 -2.000e-02 -4.000e-03  9.850e-01 -2.000e-03 -1.600e-02\n",
      "  4.000e-03  8.000e-03  7.500e-01  7.790e-01  7.620e-01  8.790e-01\n",
      "  2.600e-02  7.860e-01  1.900e-02 -6.000e-03 -7.000e-03 -1.700e-02\n",
      "  1.000e-03  5.000e-03 -9.000e-03  6.090e-01  9.750e-01  9.240e-01\n",
      "  9.500e-01  6.850e-01  1.000e-03  9.240e-01  1.300e-02  8.280e-01\n",
      "  9.520e-01 -5.000e-03 -9.000e-03  6.430e-01 -2.100e-02  7.530e-01\n",
      "  6.100e-01 -5.000e-03  7.240e-01  1.014e+00  0.000e+00  0.000e+00\n",
      "  3.000e-03  1.100e-02 -1.900e-02  7.000e-03  7.410e-01  5.000e-03\n",
      "  1.000e-03  1.400e-02 -1.200e-02 -8.000e-03 -8.000e-03  9.760e-01\n",
      "  6.000e-03  9.750e-01  7.000e-03  5.000e-03 -3.000e-03 -5.000e-03\n",
      " -1.200e-02  1.000e-02 -8.000e-03  1.700e-02  6.000e-03 -0.000e+00\n",
      " -2.100e-02 -3.000e-03  9.510e-01  1.300e-02 -5.000e-03  9.000e-03\n",
      " -1.500e-02  9.580e-01 -1.600e-02  9.180e-01 -1.100e-02 -1.200e-02\n",
      " -1.900e-02  7.620e-01  6.040e-01  7.590e-01  7.000e-03 -7.000e-03\n",
      " -0.000e+00  6.800e-01  7.140e-01  7.620e-01  4.000e-03  3.000e-03\n",
      "  2.200e-02  9.130e-01  7.760e-01  1.500e-02 -1.000e-02  6.890e-01\n",
      "  2.500e-02  6.570e-01  6.780e-01  6.270e-01  2.300e-02  9.020e-01\n",
      " -1.600e-02  9.820e-01  7.600e-01 -1.000e-03  6.440e-01  6.130e-01\n",
      "  6.590e-01  2.000e-03  9.500e-01 -7.000e-03  4.000e-03  9.220e-01\n",
      "  4.000e-03 -1.000e-02  1.600e-02 -1.200e-02  9.000e-03  8.160e-01\n",
      "  7.610e-01  6.750e-01 -5.000e-03  2.000e-03  8.670e-01  4.000e-03\n",
      "  8.310e-01 -4.000e-03  3.000e-03  6.730e-01  1.300e-02  9.000e-03\n",
      "  7.040e-01  2.000e-02  1.005e+00  7.880e-01  1.400e-02  1.000e-03\n",
      "  7.000e-03  1.000e-03  5.000e-03  1.000e-03  7.350e-01  7.680e-01\n",
      " -1.000e-03  6.370e-01 -1.600e-02  1.800e-02 -2.400e-02  2.000e-03\n",
      " -1.800e-02  9.440e-01  6.360e-01  8.260e-01  1.100e-02 -1.500e-02\n",
      "  7.170e-01  9.480e-01  2.000e-03  6.000e-03 -1.300e-02  6.000e-03\n",
      "  0.000e+00 -1.200e-02  8.150e-01  1.200e-02  5.000e-03 -0.000e+00\n",
      "  1.000e-02  6.000e-03  8.080e-01 -7.000e-03  9.540e-01  9.000e-03\n",
      "  6.830e-01 -2.900e-02  8.070e-01  7.230e-01 -3.000e-03  7.000e-03\n",
      "  8.820e-01  9.900e-01  2.300e-02 -5.000e-03  3.000e-03 -4.000e-03\n",
      "  7.190e-01 -2.000e-03  8.350e-01 -1.700e-02 -1.000e-03  2.000e-02\n",
      "  1.200e-02  3.000e-03  7.300e-01 -1.900e-02 -9.000e-03 -1.200e-02\n",
      " -6.000e-03  6.230e-01 -1.400e-02  6.000e-03  2.000e-03 -2.000e-03\n",
      "  1.300e-02  1.000e-03 -2.600e-02  9.370e-01  8.660e-01  6.000e-03\n",
      " -1.700e-02 -1.000e-03 -8.000e-03  6.080e-01  7.000e-03  6.000e-03\n",
      "  1.500e-02  1.500e-02  8.030e-01  6.810e-01 -1.100e-02  9.060e-01\n",
      "  8.000e-03  7.000e-03 -9.000e-03  6.770e-01  1.100e-02  9.770e-01\n",
      "  6.980e-01 -0.000e+00  8.000e-03  9.630e-01 -1.700e-02  9.570e-01\n",
      "  9.860e-01  7.140e-01  8.510e-01 -6.000e-03  0.000e+00 -1.600e-02\n",
      "  7.940e-01  8.470e-01 -5.000e-03  1.100e-02  6.180e-01 -5.000e-03\n",
      "  8.860e-01  7.360e-01  9.270e-01  7.850e-01  1.000e-03  6.120e-01\n",
      "  5.940e-01  7.630e-01 -2.000e-03 -1.100e-02 -1.000e-02  6.360e-01\n",
      "  8.510e-01  8.840e-01  9.000e-03  1.200e-02  4.000e-03  7.510e-01\n",
      "  6.520e-01  6.720e-01  9.810e-01  1.500e-02  8.290e-01  9.260e-01\n",
      "  2.000e-03 -9.000e-03  7.020e-01  5.000e-03  6.450e-01  6.500e-01\n",
      "  2.000e-02  9.490e-01  8.670e-01  8.550e-01 -5.000e-03 -5.000e-03\n",
      "  6.240e-01  8.020e-01  7.120e-01  0.000e+00  6.000e-03 -1.300e-02\n",
      " -0.000e+00 -2.000e-03  6.420e-01 -1.300e-02  1.800e-02  7.600e-01\n",
      "  6.600e-01 -2.000e-02  1.000e-03  9.740e-01  7.270e-01 -7.000e-03\n",
      "  8.920e-01  9.610e-01 -5.000e-03  9.180e-01 -6.000e-03 -5.000e-03\n",
      "  4.000e-03 -1.900e-02  7.690e-01  6.170e-01  1.000e-03  8.000e-03\n",
      "  1.700e-02  4.000e-03  1.000e-02  7.220e-01 -2.000e-03  1.500e-02\n",
      "  2.300e-02 -1.600e-02  7.550e-01  9.300e-01  1.500e-02  1.200e-02\n",
      " -3.000e-03  1.000e-02  3.000e-03 -5.000e-03  8.710e-01 -2.000e-03\n",
      "  9.570e-01  8.040e-01  6.580e-01  7.710e-01 -1.700e-02  5.000e-03\n",
      "  3.000e-03  2.000e-02  1.100e-02 -6.000e-03  6.780e-01  9.460e-01\n",
      "  7.920e-01  7.210e-01  5.000e-03  1.200e-02  8.630e-01  1.600e-02\n",
      "  6.260e-01 -8.000e-03 -1.300e-02  2.900e-02 -4.000e-03 -2.700e-02\n",
      "  8.330e-01  8.690e-01  8.390e-01 -6.000e-03  2.000e-03  1.200e-02\n",
      " -7.000e-03  6.060e-01 -1.100e-02  8.330e-01 -1.000e-02  6.780e-01\n",
      "  2.500e-02  6.770e-01  9.390e-01  9.770e-01  8.690e-01 -1.700e-02\n",
      "  1.900e-02  1.900e-02  1.200e-02  9.260e-01  1.300e-02  1.003e+00\n",
      " -6.000e-03  4.000e-03  6.220e-01  9.600e-01  9.370e-01  1.400e-02\n",
      "  3.000e-03  7.560e-01 -8.000e-03  8.900e-01  8.040e-01  7.380e-01\n",
      "  8.910e-01 -1.300e-02  5.000e-03  6.640e-01  2.400e-02  4.000e-03\n",
      "  1.500e-02  6.440e-01  3.000e-03 -2.400e-02  1.700e-02  4.000e-03\n",
      "  6.690e-01  7.730e-01  6.920e-01  6.870e-01  6.000e-03  1.500e-02\n",
      "  7.650e-01  9.000e-03  8.720e-01  8.000e-03 -1.000e-03  7.000e-03\n",
      "  9.000e-03 -1.400e-02  9.330e-01 -5.000e-03  6.700e-01  7.000e-03\n",
      "  8.510e-01  1.000e-02 -1.100e-02  8.970e-01  2.000e-03  9.160e-01\n",
      "  1.100e-02  1.200e-02  9.450e-01  9.420e-01  1.600e-02  4.000e-03\n",
      " -3.000e-03  6.250e-01  8.590e-01  8.540e-01  6.510e-01  6.930e-01\n",
      "  4.000e-03  3.000e-03 -1.600e-02 -6.000e-03  7.840e-01  6.000e-03\n",
      "  9.000e-03  8.330e-01  9.330e-01  6.000e-03  8.060e-01  1.400e-02\n",
      "  9.720e-01  9.400e-01 -1.000e-03  7.550e-01 -6.000e-03  6.350e-01\n",
      " -2.000e-03  8.550e-01  6.620e-01 -0.000e+00 -2.100e-02  9.910e-01\n",
      "  9.000e-03 -1.000e-02  2.400e-02 -1.000e-02  9.000e-03  9.890e-01\n",
      "  5.000e-03  7.340e-01  1.000e-02 -1.000e-02 -7.000e-03  6.520e-01\n",
      "  7.710e-01  8.060e-01  1.800e-02  9.000e-03 -1.600e-02 -9.000e-03\n",
      " -1.900e-02 -1.900e-02  8.210e-01  2.200e-02  7.640e-01  8.920e-01\n",
      " -1.100e-02  6.390e-01  8.520e-01 -1.000e-03  8.200e-01  6.180e-01\n",
      "  9.680e-01  6.560e-01  2.800e-02  1.000e-03  8.020e-01  7.740e-01\n",
      "  9.240e-01 -6.000e-03 -0.000e+00 -1.900e-02 -8.000e-03  1.300e-02\n",
      "  9.340e-01 -5.000e-03 -1.000e-02  8.360e-01  1.600e-02 -4.000e-03\n",
      " -2.000e-03  7.420e-01 -6.000e-03  4.000e-03  7.260e-01  8.120e-01\n",
      "  1.800e-02 -1.000e-02 -4.000e-03  2.200e-02].\n",
      "收敛容限tol=1e-05条件下, 利用ADMM算法求解的最终结果为(结果保留3位小数)\n",
      "[ 8.300e-01  4.000e-03  7.690e-01  6.410e-01 -2.000e-03 -1.200e-02\n",
      " -4.000e-03 -1.000e-03  6.430e-01  6.460e-01  8.940e-01 -6.000e-03\n",
      "  1.400e-02  2.800e-02 -8.000e-03  4.000e-03 -2.000e-03  9.320e-01\n",
      "  9.920e-01  2.000e-03  9.670e-01 -4.000e-03  7.930e-01  8.840e-01\n",
      "  8.490e-01 -5.000e-03  6.580e-01  9.000e-03  6.200e-01  9.350e-01\n",
      " -1.100e-02 -1.000e-03  7.900e-01 -1.400e-02 -1.100e-02 -1.800e-02\n",
      "  7.630e-01 -1.000e-03  1.000e-02  4.000e-03  7.320e-01  8.200e-01\n",
      "  7.960e-01 -6.000e-03  5.000e-03  0.000e+00  6.330e-01 -2.800e-02\n",
      "  9.740e-01 -2.000e-03 -7.000e-03  7.180e-01  9.040e-01  9.850e-01\n",
      "  7.460e-01  3.000e-03  8.720e-01  6.580e-01  7.060e-01  6.940e-01\n",
      " -3.000e-03  1.000e-02  7.980e-01 -1.400e-02  9.820e-01 -0.000e+00\n",
      " -5.000e-03  1.006e+00  6.720e-01  2.000e-03  9.800e-01  1.000e-03\n",
      "  9.000e-03  8.610e-01  8.700e-01  1.000e-03  7.530e-01 -1.000e-02\n",
      "  8.000e-03  4.000e-03  0.000e+00  7.000e-01  9.770e-01 -6.000e-03\n",
      "  1.000e-03 -8.000e-03  5.000e-03  8.080e-01  7.170e-01 -3.000e-03\n",
      "  9.740e-01  8.330e-01  9.000e-03  1.600e-02  8.670e-01 -9.000e-03\n",
      "  6.330e-01  7.340e-01 -5.000e-03  7.000e-03  3.000e-03  8.280e-01\n",
      "  6.000e-03  3.000e-03  6.060e-01  1.300e-02  9.920e-01  0.000e+00\n",
      "  1.100e-02  9.320e-01  1.001e+00  9.780e-01 -7.000e-03  6.480e-01\n",
      "  6.770e-01 -1.200e-02  1.100e-02  3.000e-03  1.000e-03  7.050e-01\n",
      "  7.500e-01 -1.000e-03  8.950e-01  3.000e-03  6.250e-01  8.580e-01\n",
      " -0.000e+00  8.060e-01  0.000e+00  6.950e-01  9.370e-01  7.150e-01\n",
      " -7.000e-03  6.960e-01  8.240e-01  7.100e-01 -3.000e-03  9.050e-01\n",
      "  6.400e-01  6.200e-01 -7.000e-03  5.000e-03 -3.000e-03  7.870e-01\n",
      "  1.300e-02 -7.000e-03 -1.600e-02  1.000e-02 -2.000e-03  6.770e-01\n",
      " -4.000e-03  6.000e-03  9.720e-01 -2.100e-02  6.830e-01  5.000e-03\n",
      "  9.860e-01  9.360e-01  6.000e-03 -7.000e-03 -1.000e-02 -1.000e-02\n",
      "  3.000e-03 -1.100e-02 -7.000e-03  2.400e-02  3.000e-03  7.810e-01\n",
      "  8.610e-01  1.400e-02  1.000e-02  7.960e-01 -2.000e-03  9.620e-01\n",
      "  6.440e-01 -1.700e-02  7.000e-03  7.590e-01  8.450e-01  1.700e-02\n",
      " -9.000e-03  1.300e-02 -1.500e-02  8.400e-01 -4.000e-03 -1.200e-02\n",
      " -1.000e-02  7.720e-01  6.060e-01  9.490e-01  9.700e-01  6.000e-03\n",
      "  1.000e-03  6.920e-01  7.000e-03  9.230e-01 -1.000e-03  7.000e-03\n",
      "  6.140e-01  9.350e-01  9.920e-01  2.100e-02 -1.600e-02  1.500e-02\n",
      "  6.810e-01  1.100e-02 -1.000e-03  5.000e-03  2.000e-02  6.760e-01\n",
      "  2.600e-02  8.730e-01  8.560e-01  7.340e-01 -1.000e-03 -3.000e-03\n",
      " -4.000e-03  6.450e-01  9.000e-03  7.390e-01 -9.000e-03  3.000e-03\n",
      "  8.840e-01  5.850e-01 -8.000e-03 -4.000e-03  2.000e-03  8.590e-01\n",
      "  7.990e-01  3.000e-03 -2.500e-02  4.000e-03 -3.000e-03  7.000e-03\n",
      "  8.530e-01 -4.000e-03  1.000e-02  8.000e-03  9.140e-01  1.500e-02\n",
      " -2.200e-02 -3.000e-03  7.810e-01 -1.000e-03 -4.000e-03  7.060e-01\n",
      "  8.670e-01  7.740e-01  1.800e-02 -1.600e-02  4.000e-03  8.990e-01\n",
      " -2.000e-02  7.490e-01  7.760e-01  8.300e-01  4.000e-03  9.000e-03\n",
      " -2.000e-03 -6.000e-03  4.000e-03 -3.000e-03  8.940e-01  5.000e-03\n",
      " -5.000e-03 -6.000e-03 -0.000e+00  6.160e-01  9.400e-01  9.170e-01\n",
      " -4.000e-03  6.250e-01  9.770e-01  7.000e-03  8.680e-01  9.500e-01\n",
      "  6.630e-01  7.740e-01  1.200e-02  9.370e-01  8.320e-01  1.000e-03\n",
      "  9.890e-01  7.590e-01 -7.000e-03  8.620e-01  8.920e-01  9.660e-01\n",
      " -5.000e-03  3.000e-03 -7.000e-03  7.900e-01  9.240e-01  3.000e-03\n",
      "  1.000e-03  0.000e+00 -2.200e-02  1.100e-02  9.260e-01  8.110e-01\n",
      "  1.800e-02 -5.000e-03  2.200e-02  1.400e-02  7.720e-01  2.400e-02\n",
      "  1.000e-02  7.430e-01  6.000e-03  8.270e-01 -1.100e-02  8.700e-01\n",
      "  8.000e-03  7.470e-01  9.050e-01  4.000e-03  9.280e-01  6.420e-01\n",
      "  7.900e-01  0.000e+00  8.960e-01  5.000e-03  2.200e-02  6.000e-03\n",
      "  6.530e-01  8.580e-01  7.300e-01 -1.200e-02 -6.000e-03 -6.000e-03\n",
      "  7.000e-03 -1.400e-02 -1.300e-02  5.000e-03  9.370e-01 -8.000e-03\n",
      "  2.700e-02  2.000e-02  5.000e-03  8.370e-01  1.400e-02 -3.000e-03\n",
      "  6.120e-01 -2.800e-02  8.720e-01  6.010e-01 -2.000e-03 -1.100e-02\n",
      "  1.500e-02  6.730e-01  6.010e-01 -3.000e-03  2.900e-02 -2.900e-02\n",
      "  9.550e-01 -2.000e-03  7.280e-01  6.490e-01 -1.000e-03  9.040e-01\n",
      " -9.000e-03  1.100e-02  7.810e-01  2.000e-03 -7.000e-03  6.490e-01\n",
      "  5.000e-03  6.810e-01  6.000e-03  2.000e-03 -1.200e-02 -8.000e-03\n",
      " -7.000e-03 -1.000e-03  1.200e-02  9.390e-01  8.610e-01  6.250e-01\n",
      " -1.600e-02  4.000e-03  6.120e-01  6.320e-01  9.000e-03  1.700e-02\n",
      " -1.200e-02 -4.000e-03  8.000e-03  6.300e-01  9.510e-01  8.000e-03\n",
      " -1.500e-02 -1.000e-03  7.060e-01  9.130e-01  8.170e-01  1.200e-02\n",
      " -2.000e-03  8.070e-01 -1.400e-02  7.630e-01  9.110e-01  7.190e-01\n",
      "  9.400e-01  9.630e-01  7.000e-03 -2.000e-03  2.000e-03 -8.000e-03\n",
      "  6.530e-01  1.300e-02  6.930e-01 -1.100e-02  8.960e-01  9.000e-03\n",
      "  6.960e-01  7.480e-01  2.000e-03  6.870e-01 -1.300e-02  4.000e-03\n",
      "  7.420e-01  6.260e-01 -9.000e-03  6.810e-01  1.300e-02  1.100e-02\n",
      "  9.230e-01  6.670e-01  1.500e-02  7.250e-01  9.770e-01 -8.000e-03\n",
      "  8.370e-01 -0.000e+00  3.000e-03  9.000e-03 -1.100e-02 -7.000e-03\n",
      "  8.170e-01  1.014e+00  4.000e-03  8.290e-01  7.210e-01 -5.000e-03\n",
      " -3.000e-03  6.640e-01 -2.300e-02  9.660e-01  6.750e-01  2.000e-03\n",
      "  8.170e-01  3.000e-03  5.000e-03  8.410e-01 -5.000e-03  9.800e-01\n",
      "  7.670e-01  3.000e-03  8.170e-01  3.000e-03  1.100e-02  1.100e-02\n",
      "  3.000e-02  9.000e-01 -1.000e-03 -1.000e-03 -1.000e-03  8.730e-01\n",
      "  1.400e-02 -1.000e-03  1.000e-02  1.500e-02 -0.000e+00 -1.200e-02\n",
      "  9.000e-03  2.000e-03  6.950e-01  7.530e-01  9.470e-01 -1.200e-02\n",
      "  7.590e-01 -2.000e-02 -4.000e-03  9.850e-01 -2.000e-03 -1.600e-02\n",
      "  4.000e-03  8.000e-03  7.500e-01  7.790e-01  7.620e-01  8.790e-01\n",
      "  2.600e-02  7.860e-01  1.900e-02 -6.000e-03 -7.000e-03 -1.700e-02\n",
      "  1.000e-03  5.000e-03 -9.000e-03  6.090e-01  9.750e-01  9.240e-01\n",
      "  9.500e-01  6.850e-01  1.000e-03  9.240e-01  1.300e-02  8.280e-01\n",
      "  9.520e-01 -5.000e-03 -9.000e-03  6.430e-01 -2.100e-02  7.530e-01\n",
      "  6.100e-01 -5.000e-03  7.240e-01  1.014e+00  0.000e+00  0.000e+00\n",
      "  3.000e-03  1.100e-02 -1.900e-02  7.000e-03  7.410e-01  5.000e-03\n",
      "  1.000e-03  1.400e-02 -1.200e-02 -8.000e-03 -8.000e-03  9.760e-01\n",
      "  6.000e-03  9.750e-01  7.000e-03  5.000e-03 -3.000e-03 -5.000e-03\n",
      " -1.200e-02  1.000e-02 -8.000e-03  1.700e-02  6.000e-03 -0.000e+00\n",
      " -2.100e-02 -3.000e-03  9.510e-01  1.300e-02 -5.000e-03  9.000e-03\n",
      " -1.500e-02  9.580e-01 -1.600e-02  9.180e-01 -1.100e-02 -1.200e-02\n",
      " -1.900e-02  7.620e-01  6.040e-01  7.590e-01  7.000e-03 -7.000e-03\n",
      " -0.000e+00  6.800e-01  7.140e-01  7.620e-01  4.000e-03  3.000e-03\n",
      "  2.200e-02  9.130e-01  7.760e-01  1.500e-02 -1.000e-02  6.890e-01\n",
      "  2.500e-02  6.570e-01  6.780e-01  6.270e-01  2.300e-02  9.020e-01\n",
      " -1.600e-02  9.820e-01  7.600e-01 -1.000e-03  6.440e-01  6.130e-01\n",
      "  6.590e-01  2.000e-03  9.500e-01 -7.000e-03  4.000e-03  9.220e-01\n",
      "  4.000e-03 -1.000e-02  1.600e-02 -1.200e-02  9.000e-03  8.160e-01\n",
      "  7.610e-01  6.750e-01 -5.000e-03  2.000e-03  8.670e-01  4.000e-03\n",
      "  8.310e-01 -4.000e-03  3.000e-03  6.730e-01  1.300e-02  9.000e-03\n",
      "  7.040e-01  2.000e-02  1.005e+00  7.880e-01  1.400e-02  1.000e-03\n",
      "  7.000e-03  1.000e-03  5.000e-03  1.000e-03  7.350e-01  7.680e-01\n",
      " -1.000e-03  6.370e-01 -1.600e-02  1.800e-02 -2.400e-02  2.000e-03\n",
      " -1.800e-02  9.440e-01  6.360e-01  8.260e-01  1.100e-02 -1.500e-02\n",
      "  7.170e-01  9.480e-01  2.000e-03  6.000e-03 -1.300e-02  6.000e-03\n",
      "  0.000e+00 -1.200e-02  8.150e-01  1.200e-02  5.000e-03 -0.000e+00\n",
      "  1.000e-02  6.000e-03  8.080e-01 -7.000e-03  9.540e-01  9.000e-03\n",
      "  6.830e-01 -2.900e-02  8.070e-01  7.230e-01 -3.000e-03  7.000e-03\n",
      "  8.820e-01  9.900e-01  2.300e-02 -5.000e-03  3.000e-03 -4.000e-03\n",
      "  7.190e-01 -2.000e-03  8.350e-01 -1.700e-02 -1.000e-03  2.000e-02\n",
      "  1.200e-02  3.000e-03  7.300e-01 -1.900e-02 -9.000e-03 -1.200e-02\n",
      " -6.000e-03  6.230e-01 -1.400e-02  6.000e-03  2.000e-03 -2.000e-03\n",
      "  1.300e-02  1.000e-03 -2.600e-02  9.370e-01  8.660e-01  6.000e-03\n",
      " -1.700e-02 -1.000e-03 -8.000e-03  6.080e-01  7.000e-03  6.000e-03\n",
      "  1.500e-02  1.500e-02  8.030e-01  6.810e-01 -1.100e-02  9.060e-01\n",
      "  8.000e-03  7.000e-03 -9.000e-03  6.770e-01  1.100e-02  9.770e-01\n",
      "  6.980e-01 -0.000e+00  8.000e-03  9.630e-01 -1.700e-02  9.570e-01\n",
      "  9.860e-01  7.140e-01  8.510e-01 -6.000e-03  0.000e+00 -1.600e-02\n",
      "  7.940e-01  8.470e-01 -5.000e-03  1.100e-02  6.180e-01 -5.000e-03\n",
      "  8.860e-01  7.360e-01  9.270e-01  7.850e-01  1.000e-03  6.120e-01\n",
      "  5.940e-01  7.630e-01 -2.000e-03 -1.100e-02 -1.000e-02  6.360e-01\n",
      "  8.510e-01  8.840e-01  9.000e-03  1.200e-02  4.000e-03  7.510e-01\n",
      "  6.520e-01  6.720e-01  9.810e-01  1.500e-02  8.290e-01  9.260e-01\n",
      "  2.000e-03 -9.000e-03  7.020e-01  5.000e-03  6.450e-01  6.500e-01\n",
      "  2.000e-02  9.490e-01  8.670e-01  8.550e-01 -5.000e-03 -5.000e-03\n",
      "  6.240e-01  8.020e-01  7.120e-01  0.000e+00  6.000e-03 -1.300e-02\n",
      " -0.000e+00 -2.000e-03  6.420e-01 -1.300e-02  1.800e-02  7.600e-01\n",
      "  6.600e-01 -2.000e-02  1.000e-03  9.740e-01  7.270e-01 -7.000e-03\n",
      "  8.920e-01  9.610e-01 -5.000e-03  9.180e-01 -6.000e-03 -5.000e-03\n",
      "  4.000e-03 -1.900e-02  7.690e-01  6.170e-01  1.000e-03  8.000e-03\n",
      "  1.700e-02  4.000e-03  1.000e-02  7.220e-01 -2.000e-03  1.500e-02\n",
      "  2.300e-02 -1.600e-02  7.550e-01  9.300e-01  1.500e-02  1.200e-02\n",
      " -3.000e-03  1.000e-02  3.000e-03 -5.000e-03  8.710e-01 -2.000e-03\n",
      "  9.570e-01  8.040e-01  6.580e-01  7.710e-01 -1.700e-02  5.000e-03\n",
      "  3.000e-03  2.000e-02  1.100e-02 -6.000e-03  6.780e-01  9.460e-01\n",
      "  7.920e-01  7.210e-01  5.000e-03  1.200e-02  8.630e-01  1.600e-02\n",
      "  6.260e-01 -8.000e-03 -1.300e-02  2.900e-02 -4.000e-03 -2.700e-02\n",
      "  8.330e-01  8.690e-01  8.390e-01 -6.000e-03  2.000e-03  1.200e-02\n",
      " -7.000e-03  6.060e-01 -1.100e-02  8.330e-01 -1.000e-02  6.780e-01\n",
      "  2.500e-02  6.770e-01  9.390e-01  9.770e-01  8.690e-01 -1.700e-02\n",
      "  1.900e-02  1.900e-02  1.200e-02  9.260e-01  1.300e-02  1.003e+00\n",
      " -6.000e-03  4.000e-03  6.220e-01  9.600e-01  9.370e-01  1.400e-02\n",
      "  3.000e-03  7.560e-01 -8.000e-03  8.900e-01  8.040e-01  7.380e-01\n",
      "  8.910e-01 -1.300e-02  5.000e-03  6.640e-01  2.400e-02  4.000e-03\n",
      "  1.500e-02  6.440e-01  3.000e-03 -2.400e-02  1.700e-02  4.000e-03\n",
      "  6.690e-01  7.730e-01  6.920e-01  6.870e-01  6.000e-03  1.500e-02\n",
      "  7.650e-01  9.000e-03  8.720e-01  8.000e-03 -1.000e-03  7.000e-03\n",
      "  9.000e-03 -1.400e-02  9.330e-01 -5.000e-03  6.700e-01  7.000e-03\n",
      "  8.510e-01  1.000e-02 -1.100e-02  8.970e-01  2.000e-03  9.160e-01\n",
      "  1.100e-02  1.200e-02  9.450e-01  9.420e-01  1.600e-02  4.000e-03\n",
      " -3.000e-03  6.250e-01  8.590e-01  8.540e-01  6.510e-01  6.930e-01\n",
      "  4.000e-03  3.000e-03 -1.600e-02 -6.000e-03  7.840e-01  6.000e-03\n",
      "  9.000e-03  8.330e-01  9.330e-01  6.000e-03  8.060e-01  1.400e-02\n",
      "  9.720e-01  9.400e-01 -1.000e-03  7.550e-01 -6.000e-03  6.350e-01\n",
      " -2.000e-03  8.550e-01  6.620e-01 -0.000e+00 -2.100e-02  9.910e-01\n",
      "  9.000e-03 -1.000e-02  2.400e-02 -1.000e-02  9.000e-03  9.890e-01\n",
      "  5.000e-03  7.340e-01  1.000e-02 -1.000e-02 -7.000e-03  6.520e-01\n",
      "  7.710e-01  8.060e-01  1.800e-02  9.000e-03 -1.600e-02 -9.000e-03\n",
      " -1.900e-02 -1.900e-02  8.210e-01  2.200e-02  7.640e-01  8.920e-01\n",
      " -1.100e-02  6.390e-01  8.520e-01 -1.000e-03  8.200e-01  6.180e-01\n",
      "  9.680e-01  6.560e-01  2.800e-02  1.000e-03  8.020e-01  7.740e-01\n",
      "  9.240e-01 -6.000e-03 -0.000e+00 -1.900e-02 -8.000e-03  1.300e-02\n",
      "  9.340e-01 -5.000e-03 -1.000e-02  8.360e-01  1.600e-02 -4.000e-03\n",
      " -2.000e-03  7.420e-01 -6.000e-03  4.000e-03  7.260e-01  8.120e-01\n",
      "  1.800e-02 -1.000e-02 -4.000e-03  2.200e-02].\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 1500x1500 with 9 Axes>"
      ],
      "image/png": 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2AACJXWUBAI0T9lNlncIadwAAK9c0AgBEruZZ85SOOwBAcLYEd4cPH7bjNpZijTsAQHOtcWd6eVgDgEhi5XgQ2FWWzSkAACGwPLj761//qqVLlwZeX3755erYsaN69OihL774wurbAQAQEQK7CAIAoprBnCcAQCNYPmw89thjSk1NlSStWrVKq1at0ptvvqnMzEzddtttVt8OAAAAACKGEUju6LgDAARn+eYUu3fvDgR3b7zxhi6//HKNHTtWffr00fDhw62+HQAAEcfkYQ0AopbboAMbABA6yzvu2rdvr9zcXEnSihUrdP7550uSTNOUx+Ox+nYAAEQEo8b+gQR3ABCtXFVLJ7hMr8OVAAAigeUddxMmTNBVV12lE088Ufn5+crMzJQkbdy4Uf3797f6ds0mKytLWVlZhI0AEMX8Y0FFRYUFV6PDAgAilZXjgeHyP4KZMk2z2i6zAADUZnnH3YMPPqibbrpJaWlpWrVqlRITEyX5ptBOmzbN6ts1G3aVBQA0266yNNwBQESxcjxwuX2PYC6ZYpNxAEAwlnfcxcbG6tZbb611fMaMGVbfCgCAiFGjoYLkDgCilstwS5IMmfJ4TbnZdRwA0IBm2Yz82Wef1ahRo9S9e3ft3LlTkjRv3jy99tprzXE7AADCH89lAABV77jzyssHOQCAICwP7hYuXKiZM2cqMzNThw8fDqwR165dO82bN8/q2wEAEHF4TAOA6OV2+TruXFUddwAANMTy4O6RRx7RE088obvuuktutztwfOjQodq0aZPVtwMAAACAiGFUW+POQ8cdACAIy4O77du364wzzqh1PD4+XkeOHLH6ds0mKytLaWlpSk9Pd7oUAIBD/GNBRkaGxVfmQQ0AIomV44GraldZwzDlpeMOABCE5cFd3759tXHjxlrH33zzTaWlpVl9u2bDrrIAAGt3lT22yJ1JhwUARBQrxwN3VcedW15VeBgPAAANs3xX2dtuu03Tp09XaWmpTNPUp59+qhdeeEFz5szRokWLrL4dAAARwWBzCgCAJMPwr3HnVYXH63A1AIBwZ3lwd91116myslK33367SkpKdNVVV6lHjx566KGHdMUVV1h9OwAAAACIHMaxNe7K6LgDAARheXAnSTfccINuuOEGHThwQF6vV126dGmO2wAAEJGYKgsAUawquDNkqpyOOwBAEM0S3Pl16tSpOS8PAEDEMAzLl5UFAEQi17GpsuWVBHcAgIZZHtz17dtXRgML+Xz//fdW3xIAAAAAIkO1qbKllR6HiwEAhDvLg7sZM2bUeF1RUaENGzZoxYoVuu2226y+XbPJyspSVlaWPB4GUwCIVv6xoKKiwulSAAAOsnQ8qBbcHSmrbPr1AAAtmmHatNBOVlaW1q9fr6eeesqO21mmsLBQycnJKigoUFJSktPlAAAckJeXp9TU1CaNBeUlhYqbmypJKpiZo+SkZCtLBADYwIrxQAW7pAfTJElvXJKtiwb1sLBCAEBzszsnatY17qrLzMzUrFmzIi64AwDACg0tIwEAiB5vH9ykb9q1k0umcj+4Qh9+3rHWOd2SWynGZUjt+0rJBHsAYKXUtqkaf8J4p8sImW3B3csvv6wOHTrYdTsAAAAACDvv7Hpf/27v79A4XPV1nKKq7wWbbKkJAKLJiG4joju4O+OMM2p0FZimqT179mj//v1asGCB1bcDACDy2LJIBQAgHA3rOkzxpksHv18vT3mZ6hoUOiXGy20YUoe+UlJ3+4sEgBasb3Jfp0toFMuDu1/84hc1XrtcLnXu3FljxozRySefbPXtAACICDUmytqzvCwAIAxd3P9iXdz/Ymm005UAACKB5cHd3XffbfUlAQCIfKxxBwAAAKCRLAnuCgsLQz6XnVkBANHOZK4sAAAAgBBYEty1a9cu6G55pmnKMAx5PB4rbgkAQERhV1kAAAAAjWVJcLd69WorLhNWsrKylJWVRdAIAFHMPxZUVFRYfGU67gAgkjTfeAAAQMMM02SF7IYUFhYqOTlZBQUFTPMFgCiVl5en1NTUJo0FnrISued0kyQdunm72rfvYGWJAAAbWDEeAAAim905keWbU/iVlJQoJydH5eXlNY6ffvrpzXVLAADCFhNlAQAAADSW5cHd/v37dd111+nNN9+s832mngIAAAAAAADBuay+4IwZM3To0CF9/PHHatWqlVasWKGnn35aJ554ov79739bfTsAACIOa1QAAAAACIXlHXfvvPOOXnvtNaWnp8vlcql379664IILlJSUpDlz5uhnP/uZ1bcEACDsGS4mywIAAABoHMs77o4cOaIuXbpIkjp06KD9+/dLkk477TR9/vnnVt8OAAAAAAAAaJEsD+5OOukkffvtt5KkwYMH67HHHtOuXbv06KOPqlu3blbfDgCAiMOG7gAAAABCYflU2RkzZmj37t2SpLvvvlsXXnihnnvuOcXFxWnJkiVW3w4AgIhgVNtX1iC4AwAAABACy4K7X/ziF5o6daquvPJKuVy+Rr4zzjhDO3bs0ObNm9WrVy916tTJqtsBABBZDNa4AwAAANA4lk2VPXr0qH7xi1+oZ8+e+t3vfqetW7dKklq3bq0zzzyT0A4AgCr02wEAAAAIhWXB3cqVK7Vjxw79+te/1osvvqiTTz5ZP/nJT/TMM8/o6NGjVt3GNllZWUpLS1N6errTpQAAHOIfCzIyMpwuBQDgIMYDAIBTDLOZVshevXq1Fi9erH/9619yu9264oordP3112v48OHNcbtmU1hYqOTkZBUUFCgpKcnpcgAADsjLy1NqamrTxoLKMunPvl3X8//fNnXs2NnCCgEAdrBkPAAARDS7cyLLd5X1y8jI0LPPPqvdu3dr7ty5evnll3X22Wc31+0AAAhzx9a4Y28KAAAAAKGwfFfZ6r7//nstWbJES5YsUUFBgc4///zmvB0AAAAAAADQYljecXf06FE988wzysjI0Iknnqhnn31WU6dO1fbt27VixQqrbwcAAAAAAAC0SJZ13K1du1ZPPfWUXnzxRZWXl+sXv/iFVq5cSZcdAADHMU2v0yUAAAAAiACWBXejRo3SoEGDdO+99+rqq69W+/btrbo0AACRzzCCnwMAAAAA1VgW3K1fv15nnnmmVZcDAAAAAAAAoppla9wR2gEAECJ2lQUAAAAQAss3pwAAAMGQ3AEAAAAIzrKpsqhfaUmxKirKFRefoPiE1k6XAwBwBGvcAQAAAGgcOu5ssOmx69X2wb7a8PJfnS4FABAG6LcDAAAAEIpm67jbv3+/vv32WxmGoQEDBqhz587NdSsAAAAAAACgxbG84+7IkSO6/vrr1b17d/3kJz/R6NGj1b17d02ZMkUlJSVW3w4AgMhj0nMHAAAAIDjLg7uZM2fqvffe07///W8dPnxYhw8f1muvvab33ntPv/3tb62+HQAAkcE4tsYdsR0AAACAUFg+VfaVV17Ryy+/rDFjxgSOjRs3Tq1atdLll1+uhQsXWn3LyEGHBQAAAAAAAEJkecddSUmJUlJSah3v0qVLRE2VzcrKUlpamtLT0y24GjsJAkAk8o8FGRkZTpcCAHAQ4wEAwCmWB3cjRozQ3XffrdLS0sCxo0eP6p577tGIESOsvl2zmT59urKzs7Vu3TqnSwEAOMQ/FqxevdrS65qm19LrAQCaV3ONBwAABGP5VNmHHnpIP/3pT9WzZ08NGjRIhmFo48aNSkhI0MqVK62+HQAAEYLuawAAAACNY3lwN3DgQG3dulX/+Mc/tHnzZpmmqSuuuEJXX321WrVqZfXtAAAAAAAAgBbJ8uBOklq1aqUbbrihOS4d2dicAgAAAAAAACGyfI27p59+Wv/5z38Cr2+//Xa1a9dOI0eO1M6dO62+XWQwmB4FAKiGD3IAAAAAhMDy4O4vf/lLYErsRx99pPnz52vu3Lnq1KmTbrnlFqtvBwBAZOBDHAAAAACNZPlU2dzcXPXv31+StGzZMl166aX6n//5H5199tkaM2aM1bcDAAAAAAAAWiTLO+4SExOVn58vSfrvf/+r888/X5KUkJCgo0ePWn07AAAijpepsgAAAABCYHnH3QUXXKCpU6fqjDPO0JYtW/Szn/1MkvT111+rT58+Vt8uovCYBgCQJNPLiAAAAAAgOMs77rKysjRixAjt379fr7zyijp27ChJ+uyzz3TllVdafbuIYIp1jQAg6rHGHQAAAIBGsrzjrl27dpo/f36t4/fcc4/VtwIAICJ5nS4AAAAAQESwvONuxYoV+uCDDwKvs7KyNHjwYF111VU6dOiQ1bcDACDiMFMWAAAAQCgsD+5uu+02FRYWSpI2bdqk3/72txo3bpy+//57zZw50+rbAQAQcUwvPXcAAAAAgrN8quz27duVlpYmSXrllVd00UUX6S9/+Ys+//xzjRs3zurbRRaTBzUAgMSmsgAAAABCYXnHXVxcnEpKSiRJb731lsaOHStJ6tChQ6ATDwCA6EZyBwAAACA4yzvuRo0apZkzZ+rss8/Wp59+qqVLl0qStmzZop49e1p9OwAAIg5r3AEAAAAIheUdd/Pnz1dMTIxefvllLVy4UD169JAkvfnmm/rpT39q9e0AAIg4JnNlAQAAAITA8o67Xr166Y033qh1/MEHH7T6VgAARBSvDLlkyktwBwAAACAElgd31R09elQVFRU1jiUlJTXnLcMcD2oAABHcAQAAAAiJ5VNljxw5optuukldunRRYmKi2rdvX+MrKhmG0xUAAMIIuR0AAACAUFge3N1+++165513tGDBAsXHx2vRokW655571L17dz3zzDNW3y6ooqIipaena/DgwTrttNP0xBNP2F4DAAA1kNwBAAAACIHlU2Vff/11PfPMMxozZoyuv/56jR49Wv3791fv3r313HPP6eqrr7b6lg1q3bq13nvvPbVu3VolJSUaOHCgJkyYoI4dO9paBwAApgxJpkyWTgAAAAAQAss77g4ePKi+fftK8q1nd/DgQUnSqFGjtGbNGqt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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 19
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "## 数据维度 10000",
   "id": "1905bf9a932afd38"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-06-20T12:39:54.825860Z",
     "start_time": "2024-06-20T12:31:16.227660Z"
    }
   },
   "cell_type": "code",
   "source": [
    "iters = int(1e5)\n",
    "tol = 1e-3\n",
    "# 设置画布\n",
    "fig, axs = plt.subplots(3, 3, figsize=(15, 15), sharey='row', sharex='col')\n",
    "plt.rcParams['xtick.direction'] = 'in'\n",
    "plt.rcParams['ytick.direction'] = 'in'\n",
    "plt.subplots_adjust(wspace=0, hspace=0)\n",
    "algorithms = ['PG', 'APG', 'ADMM']\n",
    "data_scales = ['Small', 'Medium', 'Large']\n",
    "np.random.seed(1)\n",
    "\n",
    "for j, num in enumerate([100, 1000, 10000]):\n",
    "    matrixA, vectorb, true_coef = generate_data(num, 5000)\n",
    "    # show_process=False 不输出中间过程\n",
    "    x_pg, y_pg, res_pg, times_pg = pg_lasso(matrixA, vectorb, 0.4, max_iter=iters, tol=tol, plot=False,\n",
    "                                            show_process=False)\n",
    "    x_apg, y_apg, res_apg, times_apg = apg_lasso(matrixA, vectorb, 0.4, max_iter=iters, tol=tol, plot=False,\n",
    "                                                 show_process=False)\n",
    "    # x_admm, y_admm, res_admm, times_admm = admm_lasso(matrixA, vectorb, 0.4, 1, max_iter=iters, tol=tol, plot=False,\n",
    "    #                                                   show_process=False)\n",
    "    Y = [y_pg, y_apg]\n",
    "    RES = [res_pg, res_apg]\n",
    "    TIMES = [times_pg, times_apg]\n",
    "    for i in range(2):\n",
    "        view_plot_2(Y[i], RES[i], TIMES[i], axs[:, j], algorithms[i], data_scales[j])\n",
    "axs[2, 0].set_xlabel('Iteration')\n",
    "axs[2, 1].set_xlabel('Iteration')\n",
    "axs[2, 2].set_xlabel('Iteration')\n",
    "axs[0, 0].set_ylabel('Lasso Values')\n",
    "axs[1, 0].set_ylabel('RES Values')\n",
    "axs[2, 0].set_ylabel('GPU Running Times(s)')\n",
    "\n",
    "plt.legend(loc='upper right')\n",
    "plt.show()"
   ],
   "id": "e06c12768bb1981e",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "在最大迭代次数内, PG算法未达到收敛容限.\n",
      "收敛容限tol=0.001条件下, 利用APG算法求解的最终结果为(结果保留3位小数)\n",
      "[ 0. -0.  0. ...  0. -0. -0.].\n",
      "在最大迭代次数内, PG算法未达到收敛容限.\n",
      "收敛容限tol=0.001条件下, 利用APG算法求解的最终结果为(结果保留3位小数)\n",
      "[ 1.514 -0.    -0.    ... -0.106  1.596 -0.   ].\n",
      "收敛容限tol=0.001条件下, 利用PG算法求解的最终结果为(结果保留3位小数)\n",
      "[ 0.009  0.742 -0.017 ...  0.982  0.812  0.017].\n",
      "收敛容限tol=0.001条件下, 利用APG算法求解的最终结果为(结果保留3位小数)\n",
      "[ 0.009  0.742 -0.017 ...  0.982  0.812  0.017].\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 1500x1500 with 9 Axes>"
      ],
      "image/png": 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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 23
  },
  {
   "metadata": {},
   "cell_type": "code",
   "source": "x_admm, y_admm, res_admm, times_admm = admm_lasso(matrixA, vectorb, 0.4, 1, max_iter=iters, tol=tol, plot=False,show_process=True)",
   "id": "22ceccd774242544",
   "outputs": [],
   "execution_count": null
  },
  {
   "metadata": {},
   "cell_type": "code",
   "outputs": [],
   "execution_count": null,
   "source": "",
   "id": "9c7e90ec628d3c9b"
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}