interp.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "6c9090ce-799b-439d-a432-7e78602b7ac7",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Welcome to JupyROOT 6.26/04\n"
     ]
    }
   ],
   "source": [
    "import ROOT as r"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 239,
   "id": "eb8e43c2-bd8f-4e5c-9cf6-9e214b400a22",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[StairsArtists(stairs=<matplotlib.patches.StepPatch object at 0x7f5b658ff760>, errorbar=None, legend_artist=None)]"
      ]
     },
     "execution_count": 239,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.interpolate import interp1d\n",
    "import numpy as np\n",
    "import hist\n",
    "\n",
    "class AffineMorphTemplate(object):\n",
    "    def __init__(self, hist):\n",
    "        \"\"\"\n",
    "        hist: a numpy-histogram-like tuple of (sumw, edges)\n",
    "        \"\"\"\n",
    "        self.sumw = hist[0]\n",
    "        self.edges = hist[1]\n",
    "        self.varname = hist[2]\n",
    "        self.centers = self.edges[:-1] + np.diff(self.edges) / 2\n",
    "        self.norm = self.sumw.sum()\n",
    "        self.mean = (self.sumw * self.centers).sum() / self.norm\n",
    "        self.cdf = interp1d(\n",
    "            x=self.edges,\n",
    "            y=np.r_[0, np.cumsum(self.sumw / self.norm)],\n",
    "            kind=\"linear\",\n",
    "            assume_sorted=True,\n",
    "            bounds_error=False,\n",
    "            fill_value=(0, 1),\n",
    "        )\n",
    "\n",
    "    def get(self, shift=0.0, smear=1.0):\n",
    "        \"\"\"\n",
    "        Return a shifted and smeard histogram\n",
    "        i.e. new edges = edges * smear + shift\n",
    "        \"\"\"\n",
    "        if not np.isclose(smear, 1.0):\n",
    "            shift += self.mean * (1 - smear)\n",
    "        smeard_edges = (self.edges - shift) / smear\n",
    "        # print(smeard_edges)\n",
    "        return np.diff(self.cdf(smeard_edges)) * self.norm, self.edges, self.varname\n",
    "\n",
    "\n",
    "h = hist.new.Reg(30, 0, 100).Weight().fill(np.random.normal(50,10,10000))\n",
    "norm = h.values().sum()\n",
    "templ = (h.values(), h.axes[0].edges, \"x\", h.variances())\n",
    "hep.histplot(h)\n",
    "hep.histplot(*AffineMorphTemplate(templ).get(shift=20, smear=1.2)[:2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 240,
   "id": "88efb82c-32dc-4df2-af79-8335ce2f9eaf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[StairsArtists(stairs=<matplotlib.patches.StepPatch object at 0x7f5b659ec2b0>, errorbar=None, legend_artist=None)]"
      ]
     },
     "execution_count": 240,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "a0 = AffineMorphTemplate(templ)\n",
    "b0 = AffineMorphTemplate(AffineMorphTemplate(templ).get(shift=20, smear=1.2))\n",
    "a = AffineMorphTemplate(templ).cdf(np.linspace(0, 100, 100))\n",
    "b = AffineMorphTemplate(AffineMorphTemplate(templ).get(shift=20, smear=1.2)).cdf(np.linspace(0, 100, 100))\n",
    "hep.histplot(a)\n",
    "hep.histplot(b)\n",
    "# c = np.mean([a,b], axis=0)\n",
    "# hep.histplot(np.diff(a)*norm)\n",
    "# hep.histplot(np.diff(b)*norm)\n",
    "# hep.histplot(np.diff(c)*norm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 241,
   "id": "a5e79d93-beb4-4606-8ab8-af689e934088",
   "metadata": {},
   "outputs": [
    {
     "ename": "SyntaxError",
     "evalue": "'(' was never closed (3833380665.py, line 2)",
     "output_type": "error",
     "traceback": [
      "\u001b[0;36m  Cell \u001b[0;32mIn[241], line 2\u001b[0;36m\u001b[0m\n\u001b[0;31m    plt.scatter([-1, 1], [a0.cdf(60), a0.cdf(60)]\u001b[0m\n\u001b[0m               ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m '(' was never closed\n"
     ]
    }
   ],
   "source": [
    "a0.cdf(60), b0.cdf(60), b0.cdf(60)/a0.cdf(60)\n",
    "plt.scatter([-1, 1], [a0.cdf(60), a0.cdf(60)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 141,
   "id": "df6e6131-9938-46b3-a639-5578868896ac",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.        , 0.        , 0.        , 1.        ],\n",
       "       [0.00671629, 0.00211857, 0.00597023, 1.        ],\n",
       "       [0.01325242, 0.0042875 , 0.01216179, 1.        ],\n",
       "       [0.0195992 , 0.0065136 , 0.01856304, 1.        ],\n",
       "       [0.0257481 , 0.00880348, 0.02516187, 1.        ],\n",
       "       [0.03169123, 0.0111635 , 0.0319457 , 1.        ],\n",
       "       [0.03742134, 0.01359977, 0.03890155, 1.        ],\n",
       "       [0.04293183, 0.01611812, 0.04601605, 1.        ],\n",
       "       [0.04821682, 0.01872413, 0.05327545, 1.        ],\n",
       "       [0.05327106, 0.02142305, 0.06066574, 1.        ],\n",
       "       [0.05809005, 0.02421988, 0.06817258, 1.        ],\n",
       "       [0.06266993, 0.02711926, 0.07578143, 1.        ],\n",
       "       [0.06700758, 0.03012554, 0.08347751, 1.        ],\n",
       "       [0.07110058, 0.03324274, 0.09124592, 1.        ],\n",
       "       [0.0749472 , 0.03647454, 0.09907158, 1.        ],\n",
       "       [0.07854643, 0.03982428, 0.10693935, 1.        ],\n",
       "       [0.08189796, 0.04329495, 0.11483404, 1.        ],\n",
       "       [0.08500218, 0.04688919, 0.12274041, 1.        ],\n",
       "       [0.08786018, 0.05060929, 0.13064328, 1.        ],\n",
       "       [0.09047371, 0.05445716, 0.13852749, 1.        ]])"
      ]
     },
     "execution_count": 141,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 242,
   "id": "c0916a79-0af2-41f6-ab1d-651d543b29b3",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[9981.334512499998, 9955.202829999998, 9944.003537499997]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "av = h.values()\n",
    "bv = AffineMorphTemplate(templ).get(shift=20, smear=1.2)[:2][0]\n",
    "m1, m2 = 50, 70 \n",
    "hep.histplot([av,bv], zorder=3, color=['purple', 'red'], ls='--')\n",
    "cvs = []\n",
    "# for m in range(50, 70):\n",
    "for m in [55, 62, 65]:\n",
    "    cv = np.array([np.interp(m, [m1, m2], [av[i], bv[i]]) for i in range(len(av))])\n",
    "    # print(cv.sum())\n",
    "    cvs.append(cv)\n",
    "print([cv.sum() for cv in cvs])\n",
    "hep.histplot(cvs, color=plt.colormaps['rainbow'](np.linspace(0, 1, 3+2))[1:-1]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 186,
   "id": "6aea1c26-f6b3-43e1-be80-255562a24dc0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f5b662a7400>]"
      ]
     },
     "execution_count": 186,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "av = h.values()\n",
    "bv = AffineMorphTemplate(templ).get(shift=0, smear=1.5)[:2][0]\n",
    "plt.scatter([-1, 1], [av[20], bv[20]])\n",
    "xn = 0.2\n",
    "\n",
    "plt.scatter(xn, y_new, color='red')\n",
    "plt.plot([-1, 1], [av[20], bv[20]], ls='--')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 777,
   "id": "ceb71014-d169-4434-8a17-d63eb9a34fe7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-1469.0437631809928, 36.61066890280999)"
      ]
     },
     "execution_count": 777,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import scipy.stats\n",
    "\n",
    "hist_dist = scipy.stats.rv_histogram((a0.sumw, a0.edges))\n",
    "hist_dist.fit(b0.sumw)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "cede5020-c26e-48c2-a409-5f3cee829a9a",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "03d53446-cea6-4cce-a944-2aa9a71bfe50",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 193,
   "id": "277979a8-c6cf-434e-9d1f-cc9ccc0136c8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[StairsArtists(stairs=<matplotlib.patches.StepPatch object at 0x7f5b65c7b5e0>, errorbar=<ErrorbarContainer object of 3 artists>, legend_artist=<ErrorbarContainer object of 3 artists>)]"
      ]
     },
     "execution_count": 193,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ah = hist.new.Reg(200, 0, 400).Weight().fill(np.random.normal(175, 15, 1000000))\n",
    "ah.plot(density=True)\n",
    "bh = hist.new.Reg(200, 0, 400).Weight().fill(np.random.normal(175, 35, 1000000))\n",
    "bh.plot(density=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 238,
   "id": "87fb8eb4-c98a-4054-a48f-5d4aa16bdf3f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html>\n",
       "<div style=\"display:flex; align-items:center;\">\n",
       "<div style=\"width:290px;\">\n",
       "<svg xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"-10 -105 270 120\">\n",
       "<line x1=\"-5\" y1=\"0\" x2=\"255\" y2=\"0\" style=\"fill:none;stroke-width:2;stroke:currentColor\"/>\n",
       "<text text-anchor=\"middle\" x=\"0\" y=\"15\" style=\"fill:currentColor;\">\n",
       "0\n",
       "</text>\n",
       "<text text-anchor=\"middle\" x=\"250\" y=\"15\" style=\"fill:currentColor;\">\n",
       "400\n",
       "</text>\n",
       "<text text-anchor=\"middle\" x=\"125.0\" y=\"15\" style=\"fill:currentColor;\">\n",
       "Axis 0\n",
       "</text>\n",
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       "</svg>\n",
       "</div>\n",
       "<div style=\"flex=grow:1;\">\n",
       "Regular(200, 0, 400, label='Axis 0')<br/>\n",
       "<hr style=\"margin-top:.2em; margin-bottom:.2em;\"/>\n",
       "Weight() Σ=WeightedSum(value=1e+06, variance=1e+06)\n",
       "\n",
       "</div>\n",
       "</div>\n",
       "</html>"
      ],
      "text/plain": [
       "Hist(Regular(200, 0, 400, label='Axis 0'), storage=Weight()) # Sum: WeightedSum(value=1e+06, variance=1e+06)"
      ]
     },
     "execution_count": 238,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bh"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 198,
   "id": "569f1e3d-3234-4485-8b96-e779df0ea718",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(25.0, 175.0)"
      ]
     },
     "execution_count": 198,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mmin, mmax = 0, 1\n",
    "m = 0.5\n",
    "mfrac = (m - mmin)/(mmax-mmin)\n",
    "cmin, cmax = 1 - mfrac, mfrac\n",
    "hep.histplot([ah.values(), bh.values()], density=True)\n",
    "hep.histplot(ah.values()*cmin + bh.values() * cmax, ls='--', density=True)\n",
    "plt.xlim(25, 175)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 180,
   "id": "8c5d2dd1-e46f-4da2-9b00-63696f0ee251",
   "metadata": {},
   "outputs": [
    {
     "ename": "TypeError",
     "evalue": "_Interpolator1D.__call__() missing 1 required positional argument: 'x'",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mTypeError\u001b[0m                                 Traceback (most recent call last)",
      "Cell \u001b[0;32mIn[180], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m \u001b[43ma0\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mcdf\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\n",
      "\u001b[0;31mTypeError\u001b[0m: _Interpolator1D.__call__() missing 1 required positional argument: 'x'"
     ]
    }
   ],
   "source": [
    "a0.cdf()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 243,
   "id": "4e10dac4-6cfa-4237-b303-44137e6117b8",
   "metadata": {},
   "outputs": [],
   "source": [
    "import uproot\n",
    "f = uproot.open('TEMPLATES.root')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 247,
   "id": "e3326b7b-9fc7-40cf-b103-79bc5aa6d072",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['zpqq50',\n",
       " 'zpbb50',\n",
       " 'zpqq250',\n",
       " 'zpbb250',\n",
       " 'zpqq150',\n",
       " 'zpqq75',\n",
       " 'zpqq125',\n",
       " 'zpbb100',\n",
       " 'zpbb125',\n",
       " 'zpqq100',\n",
       " 'zpbb75',\n",
       " 'zpqq200',\n",
       " 'zpbb200',\n",
       " 'zpbb150']"
      ]
     },
     "execution_count": 247,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "list(set([k.split(\"_\")[1] for k in f.keys() if 'zp' in k.split(\"_\")[1]]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 749,
   "id": "83d03834-e48b-46b4-8e63-c45570cedb7a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[StairsArtists(stairs=<matplotlib.patches.StepPatch object at 0x7f5b5278b3d0>, errorbar=<ErrorbarContainer object of 3 artists>, legend_artist=<ErrorbarContainer object of 3 artists>)]"
      ]
     },
     "execution_count": 749,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "params = [50, 75, 100, 125, 150, 200, 250]\n",
    "smp = 'zpqq75'\n",
    "ptbin = 0\n",
    "# region = \"fail\"\n",
    "region = \"pass_lowbvl\"\n",
    "ha = f[f\"SR_{smp}_ptbin{ptbin}_pnmd2prong_0p01_{region}\"].to_hist()\n",
    "hb = f[f\"SR_{'zpqq150'}_ptbin{ptbin}_pnmd2prong_0p01_{region}\"].to_hist()\n",
    "hc = f[f\"SR_{'zpqq125'}_ptbin{ptbin}_pnmd2prong_0p01_{region}\"].to_hist()\n",
    "ha.plot()\n",
    "hb.plot()\n",
    "hc.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "58ab0e25-9164-4805-9242-701c713fcf59",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 804,
   "id": "c5a96193-a63d-4b73-86fe-0f4d62adce0c",
   "metadata": {},
   "outputs": [],
   "source": [
    "import scipy.stats"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1107,
   "id": "eb165c6a-6eaf-44ec-b100-9d394b3e00f3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[StairsArtists(stairs=<matplotlib.patches.StepPatch object at 0x7f5b45eec340>, errorbar=<ErrorbarContainer object of 3 artists>, legend_artist=<ErrorbarContainer object of 3 artists>),\n",
       " StairsArtists(stairs=<matplotlib.patches.StepPatch object at 0x7f5b45e52440>, errorbar=<ErrorbarContainer object of 3 artists>, legend_artist=<ErrorbarContainer object of 3 artists>),\n",
       " StairsArtists(stairs=<matplotlib.patches.StepPatch object at 0x7f5b45e06ec0>, errorbar=<ErrorbarContainer object of 3 artists>, legend_artist=<ErrorbarContainer object of 3 artists>)]"
      ]
     },
     "execution_count": 1107,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def moment_morph(hists, params, param_interp, components=False, vertical_only=False):\n",
    "    # print(params, param_interp)\n",
    "    '''\n",
    "    Pythonic implementation of Moment morphing for `hist` histograms (incl variances): \n",
    "        - http://cds.cern.ch/record/1958015/files/arXiv:1410.7388.pdf \n",
    "        - https://arxiv.org/abs/1410.7388\n",
    "    '''\n",
    "    dists_nom = [scipy.stats.rv_histogram((h.values(), h.axes[0].edges), density=True) for h in hists]\n",
    "    dists_var = [scipy.stats.rv_histogram((h.variances(), h.axes[0].edges), density=True) for h in hists]\n",
    "    out_nom = []\n",
    "    out_var = []\n",
    "    # do twice - for nominals and variances \n",
    "    for dists, out in zip([dists_nom, dists_var], [out_nom, out_var]):\n",
    "        n = len(params)\n",
    "        M = np.empty((n,n))\n",
    "        for i in range(0, n):\n",
    "            for j in range(0, n):\n",
    "                elem = (params[i]-params[0])**j\n",
    "                M[i, j] = elem\n",
    "        Minv = np.linalg.inv(M)\n",
    "        # Minv = abs(Minv)\n",
    "        cis = []\n",
    "        for i in range(0, n):\n",
    "            ci = 0\n",
    "            for j in range(0, n):\n",
    "                ci += (param_interp - params[0])**j * Minv[j, i]\n",
    "            cis.append(ci)\n",
    "            \n",
    "        means = [dist.moment(1) for dist in dists]\n",
    "        sigs = [np.sqrt(dist.stats(moments='v')/2) for dist in dists]\n",
    "        mup = np.sum([c * mu for c, mu in zip(cis, means)])\n",
    "        sigp = np.sum([c * sig for c, sig in zip(cis, sigs)])\n",
    "        \n",
    "        xps, slopes, offsets = [], [], []\n",
    "        for i in range(0, n):\n",
    "            xj = dists[i]._hbins\n",
    "            aij = sigs[i]/sigp\n",
    "            bij = means[i] - aij*mup\n",
    "            xp = xj*aij + bij\n",
    "            slopes.append(aij)\n",
    "            offsets.append(bij)\n",
    "        \n",
    "            xps.append(xp)\n",
    "        # print(cis)\n",
    "        for i, (ci, dist, xp) in enumerate(zip(cis, dists, xps)):\n",
    "            centers = xp[:-1] + np.diff(xp)/2\n",
    "            # For rescale\n",
    "            binwidths = hists[i].axes[0].widths\n",
    "            norm = dist._histogram[0].sum()\n",
    "            if vertical_only:\n",
    "                out.append(ci *  dist.pdf(hists[i].axes[0].centers) * norm * binwidths)\n",
    "            else:\n",
    "                out.append(ci *  dist.pdf(centers) * norm * binwidths)\n",
    "\n",
    "    # Reconstruct hists\n",
    "    if not components:\n",
    "        rh = hists[0].copy()\n",
    "        rh.view().value = np.sum(out_nom, axis=0)\n",
    "        rh.view().variance = np.sum(out_var, axis=0)\n",
    "        try:  # If param value in axis name, rename\n",
    "            rh.axes[0].label = rh.axes[0].label.replace(str(params[0]), str(param_interp))\n",
    "        except:\n",
    "            pass\n",
    "        return rh\n",
    "    else:\n",
    "        to_return = []\n",
    "        for i in range(len(hists)):\n",
    "            rh = hists[i].copy()\n",
    "            rh.view().value = out_nom[i]\n",
    "            rh.view().variance = out_var[i]\n",
    "            to_return.append(rh)\n",
    "        return to_return   \n",
    "\n",
    "out = moment_morph([ha, hb], params=[75, 150], param_interp=75, components=False)\n",
    "hep.histplot(out, zorder=3, ls=':')\n",
    "hep.histplot([ha, hb, hc])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1108,
   "id": "bb218634-91ce-498e-b091-f7a51c53cd30",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/anovak/software/miniforge3/envs/combine/lib/python3.10/site-packages/mplhep/utils.py:199: RuntimeWarning: All sumw are zero!  Cannot compute meaningful error bars\n",
      "  return np.abs(method_fcn(self.values, variances) - self.values)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[StairsArtists(stairs=<matplotlib.patches.StepPatch object at 0x7f5b45de4fa0>, errorbar=<ErrorbarContainer object of 3 artists>, legend_artist=<ErrorbarContainer object of 3 artists>),\n",
       " StairsArtists(stairs=<matplotlib.patches.StepPatch object at 0x7f5b45de6ce0>, errorbar=<ErrorbarContainer object of 3 artists>, legend_artist=<ErrorbarContainer object of 3 artists>)]"
      ]
     },
     "execution_count": 1108,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "params = [50, 75, 100, 125, 150, 200, 250]\n",
    "smp = 'zpqq'\n",
    "ptbin = 0\n",
    "region = \"fail\"\n",
    "# region = \"pass_lowbvl\"\n",
    "h1 = f[f\"SR_{smp}50_ptbin{ptbin}_pnmd2prong_0p01_{region}\"].to_hist()\n",
    "h2 = f[f\"SR_{smp}75_ptbin{ptbin}_pnmd2prong_0p01_{region}\"].to_hist()\n",
    "out = moment_morph([h1, h2], params=[50, 75], param_interp=50, components=True, vertical_only=True)\n",
    "hep.histplot(out, zorder=3, ls=':')\n",
    "hep.histplot([h1, h2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "682162e7-9355-40fd-9f87-48b27a1e16c1",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "8de1aa90-c5f9-4e4d-833b-637824203854",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ae8507e7-1909-4154-b02f-72b3aa7db50b",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 1109,
   "id": "34c9f52d-3c45-4424-a1f1-a4a003649365",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(250,\n",
       " [200, 250],\n",
       " [Hist(Regular(62, 40, 350, name='xaxis', label='SR_zpqq50_ptbin0_pnmd2prong_0p01_fail'), storage=Weight()) # Sum: WeightedSum(value=6371.87, variance=9736.73),\n",
       "  Hist(Regular(62, 40, 350, name='xaxis', label='SR_zpqq75_ptbin0_pnmd2prong_0p01_fail'), storage=Weight()) # Sum: WeightedSum(value=7807.79, variance=20090.1),\n",
       "  Hist(Regular(62, 40, 350, name='xaxis', label='SR_zpqq100_ptbin0_pnmd2prong_0p01_fail'), storage=Weight()) # Sum: WeightedSum(value=7227.35, variance=17284.3),\n",
       "  Hist(Regular(62, 40, 350, name='xaxis', label='SR_zpqq125_ptbin0_pnmd2prong_0p01_fail'), storage=Weight()) # Sum: WeightedSum(value=6684.93, variance=9805.52),\n",
       "  Hist(Regular(62, 40, 350, name='xaxis', label='SR_zpqq150_ptbin0_pnmd2prong_0p01_fail'), storage=Weight()) # Sum: WeightedSum(value=5807.79, variance=9047.13),\n",
       "  Hist(Regular(62, 40, 350, name='xaxis', label='SR_zpqq200_ptbin0_pnmd2prong_0p01_fail'), storage=Weight()) # Sum: WeightedSum(value=2836.43, variance=3986.05),\n",
       "  Hist(Regular(62, 40, 350, name='xaxis', label='SR_zpqq250_ptbin0_pnmd2prong_0p01_fail'), storage=Weight()) # Sum: WeightedSum(value=412.71, variance=610.002)])"
      ]
     },
     "execution_count": 1109,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "interp, nearest, mass_hists"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1110,
   "id": "4e87d675-f548-49ff-bbf7-944c7bbaac7a",
   "metadata": {},
   "outputs": [
    {
     "ename": "IndexError",
     "evalue": "list index out of range",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mIndexError\u001b[0m                                Traceback (most recent call last)",
      "Cell \u001b[0;32mIn[1110], line 3\u001b[0m\n\u001b[1;32m      1\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m h \u001b[38;5;129;01min\u001b[39;00m mass_hists:\n\u001b[1;32m      2\u001b[0m     h\u001b[38;5;241m.\u001b[39mplot(ls\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124m--\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n\u001b[0;32m----> 3\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m h \u001b[38;5;129;01min\u001b[39;00m \u001b[43mmoment_morph\u001b[49m\u001b[43m(\u001b[49m\u001b[43mmass_hists\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mparams\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mnearest\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mparam_interp\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43minterp\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mcomponents\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;28;43;01mTrue\u001b[39;49;00m\u001b[43m)\u001b[49m:\n\u001b[1;32m      4\u001b[0m     h\u001b[38;5;241m.\u001b[39mplot(ls\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124m:\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n",
      "Cell \u001b[0;32mIn[1107], line 69\u001b[0m, in \u001b[0;36mmoment_morph\u001b[0;34m(hists, params, param_interp, components, vertical_only)\u001b[0m\n\u001b[1;32m     67\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m i \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mrange\u001b[39m(\u001b[38;5;28mlen\u001b[39m(hists)):\n\u001b[1;32m     68\u001b[0m     rh \u001b[38;5;241m=\u001b[39m hists[i]\u001b[38;5;241m.\u001b[39mcopy()\n\u001b[0;32m---> 69\u001b[0m     rh\u001b[38;5;241m.\u001b[39mview()\u001b[38;5;241m.\u001b[39mvalue \u001b[38;5;241m=\u001b[39m \u001b[43mout_nom\u001b[49m\u001b[43m[\u001b[49m\u001b[43mi\u001b[49m\u001b[43m]\u001b[49m\n\u001b[1;32m     70\u001b[0m     rh\u001b[38;5;241m.\u001b[39mview()\u001b[38;5;241m.\u001b[39mvariance \u001b[38;5;241m=\u001b[39m out_var[i]\n\u001b[1;32m     71\u001b[0m     to_return\u001b[38;5;241m.\u001b[39mappend(rh)\n",
      "\u001b[0;31mIndexError\u001b[0m: list index out of range"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for h in mass_hists:\n",
    "    h.plot(ls=\"--\")\n",
    "for h in moment_morph(mass_hists, params=nearest, param_interp=interp, components=True):\n",
    "    h.plot(ls=\":\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ecc1b08c-4f38-40e6-ba99-e26f0673e622",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "930a0a79-7f94-4b3a-a1bf-d19d0dc63fa7",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 1131,
   "id": "4de77897-4cb4-4932-bdda-bdb209cab420",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/anovak/software/miniforge3/envs/combine/lib/python3.10/site-packages/scipy/stats/_continuous_distns.py:11527: RuntimeWarning: invalid value encountered in divide\n",
      "  self._hpdf = self._hpdf / float(np.sum(self._hpdf * self._hbin_widths))\n"
     ]
    }
   ],
   "source": [
    "odict = {}\n",
    "params = [50, 75, 100, 125, 150, 200, 250]\n",
    "for smp in [\"zpqq\", \"zpbb\"]:\n",
    "    for ptbin in [0, 1, 2, 3, 4]:\n",
    "        for region in [\"fail\", \"pass_lowbvl\", \"pass_highbvl\"]:\n",
    "            for interp in np.arange(50, 255, 5):\n",
    "                nearest = sorted([params[np.argsort(np.abs(params-interp))[0]], params[np.argsort(np.abs(params-interp))[1]]])\n",
    "                mass_hists = []\n",
    "                # for param in params:\n",
    "                # print(nearest)\n",
    "                for param in nearest:\n",
    "                    mass_hists.append(f[f\"SR_{smp}{param}_ptbin{ptbin}_pnmd2prong_0p01_{region}\"].to_hist())\n",
    "\n",
    "                # out = moment_morph(mass_hists, params=params, param_interp=interp)\n",
    "                out = moment_morph(mass_hists, params=nearest, param_interp=interp)\n",
    "                odict[f\"SR_{smp}{interp}_ptbin{ptbin}_pnmd2prong_0p01_{region}\"] = out\n",
    "\n",
    "                # break"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1116,
   "id": "6e436fdd-2136-41cc-b2e6-22e199d5415b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(250,\n",
       " [200, 250],\n",
       " [Hist(Regular(62, 40, 350, name='xaxis', label='SR_zpqq200_ptbin0_pnmd2prong_0p01_fail'), storage=Weight()) # Sum: WeightedSum(value=2836.43, variance=3986.05),\n",
       "  Hist(Regular(62, 40, 350, name='xaxis', label='SR_zpqq250_ptbin0_pnmd2prong_0p01_fail'), storage=Weight()) # Sum: WeightedSum(value=412.71, variance=610.002)])"
      ]
     },
     "execution_count": 1116,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "interp, nearest, mass_hists"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1117,
   "id": "bbf80b73-df54-4007-b608-1febcdd2ee64",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[StairsArtists(stairs=<matplotlib.patches.StepPatch object at 0x7f5b47321ea0>, errorbar=<ErrorbarContainer object of 3 artists>, legend_artist=<ErrorbarContainer object of 3 artists>)],\n",
       " [StairsArtists(stairs=<matplotlib.patches.StepPatch object at 0x7f5b473d5540>, errorbar=<ErrorbarContainer object of 3 artists>, legend_artist=<ErrorbarContainer object of 3 artists>)]]"
      ]
     },
     "execution_count": 1117,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "out.plot(zorder=3, ls='--')\n",
    "[h.plot() for h in mass_hists]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1118,
   "id": "4169d425-a9ef-4187-9f3c-c3f08ee966e4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<html>\n",
       "<div style=\"display:flex; align-items:center;\">\n",
       "<div style=\"width:290px;\">\n",
       "<svg xmlns=\"http://www.w3.org/2000/svg\" viewBox=\"-10 -105 270 120\">\n",
       "<line x1=\"-5\" y1=\"0\" x2=\"255\" y2=\"0\" style=\"fill:none;stroke-width:2;stroke:currentColor\"/>\n",
       "<text text-anchor=\"middle\" x=\"0\" y=\"15\" style=\"fill:currentColor;\">\n",
       "40\n",
       "</text>\n",
       "<text text-anchor=\"middle\" x=\"250\" y=\"15\" style=\"fill:currentColor;\">\n",
       "350\n",
       "</text>\n",
       "<text text-anchor=\"middle\" x=\"125.0\" y=\"15\" style=\"fill:currentColor;\">\n",
       "SR_zpqq60_ptbin0_pnmd2prong_0p01_fail\n",
       "</text>\n",
       "<polyline points=\"  0,0   0,-1.64 4.03226,-1.64 4.03226,-15.6 8.06452,-15.6 8.06452,-15.4 12.0968,-15.4 12.0968,-52 16.129,-52 16.129,-100 20.1613,-100 20.1613,-98.4 24.1935,-98.4 24.1935,-48.8 28.2258,-48.8 28.2258,-35.2 32.2581,-35.2 32.2581,-11.7 36.2903,-11.7 36.2903,-4.3 40.3226,-4.3 40.3226,-2.52 44.3548,-2.52 44.3548,-1.81 48.3871,-1.81 48.3871,-1.56 52.4194,-1.56 52.4194,-1.22 56.4516,-1.22 56.4516,-0.997 60.4839,-0.997 60.4839,-0.431 64.5161,-0.431 64.5161,-0.488 68.5484,-0.488 68.5484,-0.144 72.5806,-0.144 72.5806,-0.0708 76.6129,-0.0708 76.6129,-0 80.6452,-0 80.6452,-0 84.6774,-0 84.6774,-0 88.7097,-0 88.7097,-0 92.7419,-0 92.7419,-0 96.7742,-0 96.7742,-0 100.806,-0 100.806,-0 104.839,-0 104.839,-0 108.871,-0 108.871,-0 112.903,-0 112.903,-0 116.935,-0 116.935,-0 120.968,-0 120.968,-0 125,-0 125,-0 129.032,-0 129.032,-0 133.065,-0 133.065,-0 137.097,-0 137.097,-0 141.129,-0 141.129,-0 145.161,-0 145.161,-0 149.194,-0 149.194,-0 153.226,-0 153.226,-0 157.258,-0 157.258,-0 161.29,-0 161.29,-0 165.323,-0 165.323,-0 169.355,-0 169.355,-0 173.387,-0 173.387,-0 177.419,-0 177.419,-0 181.452,-0 181.452,-0 185.484,-0 185.484,-0 189.516,-0 189.516,-0 193.548,-0 193.548,-0 197.581,-0 197.581,-0 201.613,-0 201.613,-0 205.645,-0 205.645,-0 209.677,-0 209.677,-0 213.71,-0 213.71,-0 217.742,-0 217.742,-0 221.774,-0 221.774,-0 225.806,-0 225.806,-0 229.839,-0 229.839,-0 233.871,-0 233.871,-0 237.903,-0 237.903,-0 241.935,-0 241.935,-0 245.968,-0 245.968,-0 250,-0 250,0\" style=\"fill:none; stroke:currentColor;\"/>\n",
       "</svg>\n",
       "</div>\n",
       "<div style=\"flex=grow:1;\">\n",
       "Regular(62, 40, 350, name='xaxis', label='SR_zpqq60_ptbin0_pnmd2prong_0p01_fail')<br/>\n",
       "<hr style=\"margin-top:.2em; margin-bottom:.2em;\"/>\n",
       "Weight() Σ=WeightedSum(value=6946.66, variance=13411.8)\n",
       "\n",
       "</div>\n",
       "</div>\n",
       "</html>"
      ],
      "text/plain": [
       "Hist(Regular(62, 40, 350, name='xaxis', label='SR_zpqq60_ptbin0_pnmd2prong_0p01_fail'), storage=Weight()) # Sum: WeightedSum(value=6946.66, variance=13411.8)"
      ]
     },
     "execution_count": 1118,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "odict[list(odict.keys())[2]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1121,
   "id": "15f04bf7-ceb4-498e-957a-eef98f3e475b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for interp in np.arange(50, 255, 5):\n",
    "    odict[f'SR_zpqq{interp}_ptbin0_pnmd2prong_0p01_fail'].plot(yerr=False);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1129,
   "id": "7cfca161-0f76-4dc0-825a-0864f7f1b0f3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x1500 with 36 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(6,6, sharex=True, sharey=True, figsize=(15, 15))\n",
    "fig.subplots_adjust(wspace=0, hspace=0)\n",
    "axs = axs.flatten()\n",
    "for interp, ax in zip(np.arange(50, 255, 5), axs):\n",
    "    odict[f'SR_zpqq{interp}_ptbin0_pnmd2prong_0p01_fail'].plot(yerr=False, ax=ax)\n",
    "    ax.set_xlabel(\"\")\n",
    "    ax.set_ylabel(\"\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1130,
   "id": "5a01954d-b720-414b-9096-4272c488b33e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "410"
      ]
     },
     "execution_count": 1130,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(list(odict.keys()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1132,
   "id": "9461f4e4-aff3-4e3c-afd9-d6151cbb8d18",
   "metadata": {},
   "outputs": [],
   "source": [
    "root_file = uproot.recreate(\"signals_interpolated.root\")\n",
    "for k, v in odict.items():\n",
    "    if k not in f.keys():\n",
    "        root_file[k] = v\n",
    "    else:\n",
    "        print(\"Skipping\", k)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1135,
   "id": "0485bebb-c46b-4dea-bda0-36ce49efe9f4",
   "metadata": {},
   "outputs": [],
   "source": [
    "root_file.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4cb6a1dd-06f0-44c3-9b56-97e2210c76ba",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2d887295-d8ae-4fe1-a891-fd3770921907",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 951,
   "id": "6864ae5a-b63a-4548-94e0-9d146af4d423",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'SR_zpqq75_ptbin0_pnmd2prong_0p01_pass_lowbvl'"
      ]
     },
     "execution_count": 951,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ha.copy().axes[0].label"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 940,
   "id": "1a4e20a4-058d-406f-8368-08017bb2e491",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/anovak/software/miniforge3/envs/combine/lib/python3.10/site-packages/mplhep/error_estimation.py:49: RuntimeWarning: divide by zero encountered in divide\n",
      "  counts = sumw / scale\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f5b4e2a4880>"
      ]
     },
     "execution_count": 940,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "out = moment_morph([ha, hb], params=[75, 150], param_interp=110)\n",
    "hep.histplot(ha, color='red', label=\"Ref1 (75)\")\n",
    "# hep.histplot(hc, color='blue', label=\"Ref2 (125)\")\n",
    "hep.histplot(hb, color='green', label=\"Ref3 (150)\")\n",
    "\n",
    "hep.histplot(out, color='magenta', ls='--', label=f\"Interp {mp}\")\n",
    "# om = AffineMorphTemplate((np.sum(out, axis=0)[:-1], hb.axes[0].edges, \"x\"))\n",
    "# hep.histplot(om.get(shift=150), density=True, color='green', ls='--')              \n",
    "# hep.histplot(hc, color='orange', ls='--', density=False, label=\"Ref2 (125)\")\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 941,
   "id": "97f41614-769b-42b3-b7d4-309691079020",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(Regular(62, 40, 350, name='xaxis', label='SR_zpqq75_ptbin0_pnmd2prong_0p01_pass_lowbvl'),\n",
       " Regular(62, 40, 350, name='xaxis', label='SR_zpqq150_ptbin0_pnmd2prong_0p01_pass_lowbvl'))"
      ]
     },
     "execution_count": 941,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ha.axes[0], hb.axes[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 942,
   "id": "6541ca90-7d80-4eaa-a466-062262ca26c3",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/anovak/software/miniforge3/envs/combine/lib/python3.10/site-packages/mplhep/error_estimation.py:49: RuntimeWarning: divide by zero encountered in divide\n",
      "  counts = sumw / scale\n",
      "/home/anovak/software/miniforge3/envs/combine/lib/python3.10/site-packages/mplhep/error_estimation.py:49: RuntimeWarning: divide by zero encountered in divide\n",
      "  counts = sumw / scale\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f5b4d43d030>"
      ]
     },
     "execution_count": 942,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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u0tPTxfXr15t9rOKyYoGVEFgJUVzW8v+3YmNjxaRJk2TrKioqxA033CBeeeUVIYQQzz//vOjSpYtITEwUmZmZ4tixY+LNN98UiYmJ0j5eXl5i8+bN0vKuXbvEBx98IE6fPi2ysrLEzp07Re/evcXQoUOt5mfBggUiJiZGtq6srEwcP35cHD9+XHTt2lUsXLhQHD9+XJw9e1ba5tlnnxVJSUkiKytLHDx4UIwePVr4+vqKgoICaZvZs2eLoKAgsXfvXnH06FERHR0toqOjZefKysoSKpVKXLhwwWL+rL3Wjfn+bvJjxlVVVfj444+h0+kQHR1db+tfAEhJSUFERISsymfs2LEoKipCWlpanecqKytDUVGRbCIiIrIXJycnzJ07F+vWrYNOp8OaNWvwwgsvICEhAb1798a4ceOwa9cuhIaG1nkMd3d3/N///R9uu+029O7dG/Pnz8c999yDnTt3Wj33zJkz8c0336CwsFBal5OTg8jISERGRiI3NxevvvoqIiMj8de//lXa5rfffsODDz6IsLAw3H///ejSpQt++ukn+Pn5SdusX78ed999N2JiYjB8+HBotVp8/vnnsvN/9NFHGDNmjOwpphZRbwhj5tSpU0Kj0QhHR0fh5eUldu3aJYQQYuvWrcLFxaXW9oMHDxaLFy8WQggxa9YsMWbMGFm6TqcTAMQ333xT5znj4+MFgFoTS1AaiCUoRGRnbbkERYnuu+8+8fLLL7f6ecvKykRQUJD48ccf69zGbiUoYWFhOHHiBA4fPow5c+YgNjYW6enpNg2azC1duhSFhYXSdPHixRY9HxERkZK98sor8PBo3iPaTZGdnY1ly5bJerFtKY1+dMbFxUVqyTxw4EAcOXIEb7zxBqZNm1Zv61+tVouff/5ZdjxjH//WuuZ1dXVtUEtoIiJq/zQuGoh4Ye9s2FVISAieeuqpVj9vz549pRigpTW7q/vq6mqUlZXJWv8ambf+jY6OxunTp1FQUCBts3v3bnh6eiI8PLy5WSEiIqJ2olElKEuXLsX48eMRFBSEP//8E9u2bUNSUhL+85//wMvLCzNnzsSCBQvg4+MDT09PPPXUU4iOjpa6xx0zZgzCw8PxyCOPYN26dcjLy8Py5csRFxfHEpLWJARg7GDHdMhs8+Gz1WqgiV1BExERNUejApSCggI8+uijyM3NhZeXF/r27Yv//Oc/Uu9569evh4ODA2JiYmQdtRk5Ojpi586dmDNnDqKjo6HRaBAbG4vVq1fb9qrIupISwFLdpcnTVQCA4mJA07r9CxAREQGASgjR5iryioqK4OXlhcLCQnh6eto7O8qn09UEJIYeDy0GKOYYoBCRjZSWliIrKwuhoaFN6qad2g5rr3Vjvr+b3QaF2rjz52vm8/P1ExERkZ1xAJyOzrSEhKUlRESkECxBISKitkUHQGWYao8lSO0EAxQiIiIrZsyYgcmTJzdqH5VKhS+++KJF8tNQ7777LkaOHAlPT0+oVCpcu3at1jYvvfQS/vKXv0CtVsv6MDOVnZ2NCRMmQK1Ww9/fH4sWLUJlZWXLZh4MUNovIfSNY42TkfkyEREpVkVFRZP3LSkpwbhx47Bs2bI6tykvL8fUqVMxZ84ci+lVVVWYMGECysvLcejQIWzZsgWJiYlYsWJFk/PVUAxQ2ivjo8QeHvLHhwMCaj9OTEREDTZy5Eg8/fTTWLx4MXx8fKDVarFy5UopPSQkBABw7733QqVSScsA8OWXX2LAgAFwc3NDjx49sGrVKllphEqlwsaNG3HPPfdAo9HgpZdeQlJSElQqFXbt2oW+ffvCzc0NQ4YMQWpqqtV8PvPMM1iyZInUF5klq1atwvz58xEREWEx/fvvv0d6ejo+/PBD9O/fH+PHj8eaNWuwYcMGlJeX13+zmoEBChERUSNt2bIFGo0Ghw8fxrp167B69Wrs3r0bAHDkyBEAwObNm5GbmystHzhwAI8++ijmzZuH9PR0vPPOO0hMTMRLL70kO/bKlStx77334vTp03j88cel9YsWLcJrr72GI0eOwM/PDxMnTmxWCUtDpKSkICIiAgEmP2zHjh2LoqIipKWltei5+RRPR3D+PNCjh34+P1/+tE7b6waHiNoLAaCknm0s1UibrisAYOkBxPoeSlRD38i2ifr27Yv4+HgAwE033YS33noLe/bswZ133gk/Pz8AgLe3t2ycuVWrVmHJkiWIjY0FAPTo0QNr1qzB4sWLpWMBwEMPPYTHHntMWj5v6A4iPj5e6hh1y5Yt6NatG3bs2IH777+/6RdSj7y8PFlwAkBazsvLa7HzAgxQOgbzR4lNl9kehYjspQRAcwfk7dHE/YpRfxBjRd++fWXLXbt2lY0zZ8nJkydx8OBBWYlJVVUVSktLUVJSArVaDQAYNGiQxf2N49oBgI+PD8LCwnDmzJmmXoLiMUAhIiJqJGdnZ9mySqVCdXW11X2Ki4uxatUqTJkypVaaaY+rGgX1SaXVavHzzz/L1uUbOvQ0LR1qCQxQiIjIPtTQl2RYU1cVj7Hk5DyaXsXTgpydnVFVVSVbN2DAAGRkZKBnz55NOuZPP/2EoKAgAMDVq1fxyy+/oHfv3s3OqzXR0dF46aWXUFBQAH9/fwDA7t274enpifDw8BY9NwMUIiKyDxXqDyQspZsGLf4NOIYdhISEYM+ePRg6dChcXV3RuXNnrFixAnfffTeCgoJw3333wcHBASdPnkRqaipefPHFeo+5evVqdOnSBQEBAXj++efh6+trtX+WvLw85OXlITMzEwBw+vRpdOrUCUFBQfDx8QGg7+PkypUryM7ORlVVFU6cOAEA6NmzJzw8PDBmzBiEh4fjkUcewbp165CXl4fly5cjLi4Orq6uzb5P1vApHiIiIht77bXXsHv3bnTv3h2RkZEA9E+/7Ny5E99//z0GDx6MIUOGYP369QgODm7QMdeuXYt58+Zh4MCByMvLw9dffw0XF5c6t9+0aRMiIyMxa9YsAMDw4cMRGRmJr776StpmxYoViIyMRHx8PIqLixEZGYnIyEgcPXoUAODo6IidO3fC0dER0dHRePjhh/Hoo49i9erVTb01DcbRjNsr0xGM8/Nr+j4xH6HY2kjHHM2YiGzEpqMZ61DTuLaZjV3bgqSkJNx+++24evVqnb29KglHMyYiIqJ2i21QiIiobdFA34cKtWsMUIiIiBRs5MiRaIOtMZqNVTxERESkOAxQiIiISHEYoBAREZHiMEAhIiIixWGAQkRERIrDAIWIiIgUhwEKERG1LTrox/FRwfJggtQuMEAhIiKyYsaMGVYH5bNEpVLhiy++aJH8NNS7776LkSNHwtPTEyqVCteuXau1zUsvvYS//OUvUKvVdXajn52djQkTJkCtVsPf3x+LFi1CZWVly2YeDFCIiIgUq6Kiosn7lpSUYNy4cVi2bFmd25SXl2Pq1KmYM2eOxfSqqipMmDAB5eXlOHToELZs2YLExESsWLGiyflqKAYoREREjTBy5Eg8/fTTWLx4MXx8fKDVarFy5UopPSQkBABw7733QqVSScsA8OWXX2LAgAFwc3NDjx49sGrVKllphEqlwsaNG3HPPfdAo9HgpZdeQlJSElQqFXbt2oW+ffvCzc0NQ4YMQWpqqtV8PvPMM1iyZAmGDBlS5zarVq3C/PnzERERYTH9+++/R3p6Oj788EP0798f48ePx5o1a7BhwwaUl5fXf7OagQEKERHZh4C+DYm1qaCOyaiu9PqO28ye47ds2QKNRoPDhw9j3bp1WL16NXbv3g0AOHLkCABg8+bNyM3NlZYPHDiARx99FPPmzUN6ejreeecdJCYm4qWXXpIde+XKlbj33ntx+vRpPP7449L6RYsW4bXXXsORI0fg5+eHiRMnNquEpSFSUlIQERGBgIAAad3YsWNRVFSEtLS0Fj03x+IhIiL7KAHg0cxj9GjifsXQDzrYRH379kV8fDwA4KabbsJbb72FPXv24M4774Sfnx8AwNvbG1qtVtpn1apVWLJkCWJjY/VZ79EDa9asweLFi6VjAcBDDz2Exx57TFo+f/48ACA+Ph533nknAH2A1K1bN+zYsQP3339/0y+kHnl5ebLgBIC0nJeX12LnBRigkEYDmA5CpWOTeCKi+vTt21e23LVrVxQUFNSxtd7Jkydx8OBBWYlJVVUVSktLUVJSArVaDQAYNGiQxf2jo6OleR8fH4SFheHMmTNNvQTFY4BCRET2oYa+JMMaS7+ZdKgpOTkPyyUh9ZWOqOtJr4ezs7NsWaVSobq62uo+xcXFWLVqFaZMmVIrzc3NTZrXaJpRtGNjWq0WP//8s2xdfn6+lNaSGKAQEZF9qFB/IGEp3TRo8W/AMezA2dkZVVVVsnUDBgxARkYGevbs2aRj/vTTTwgKCgIAXL16Fb/88gt69+7d7LxaEx0djZdeegkFBQXw9/cHAOzevRuenp4IDw9v0XMzQCEiIrKxkJAQ7NmzB0OHDoWrqys6d+6MFStW4O6770ZQUBDuu+8+ODg44OTJk0hNTcWLL75Y7zFXr16NLl26ICAgAM8//zx8fX2t9s+Sl5eHvLw8ZGZmAgBOnz6NTp06ISgoCD4+PgD0fZxcuXIF2dnZqKqqwokTJwAAPXv2hIeHB8aMGYPw8HA88sgjWLduHfLy8rB8+XLExcXB1dW12ffJGj7FQ0REZGOvvfYadu/eje7duyMyMhKA/umXnTt34vvvv8fgwYMxZMgQrF+/HsHBwQ065tq1azFv3jwMHDgQeXl5+Prrr+Hi4lLn9ps2bUJkZCRmzZoFABg+fDgiIyPx1VdfSdusWLECkZGRiI+PR3FxMSIjIxEZGYmjR48CABwdHbFz5044OjoiOjoaDz/8MB599FGsXr26qbemwVRCiGY+bNX6ioqK4OXlhcLCQnh6eto7O8qk0wEehubx+fmAsRV2cbG+YWxD9qtvWyKiBiotLUVWVhZCQ0Nl7S2aRIeap3+a+TROW5CUlITbb78dV69erbO3VyWx9lo35vubVTwdgfmTOkRERArHAIWIiNoWDZrd0RopHwMUIiIiBRs5ciTaYGuMZmMjWSIiIlIcBihERESkOAxQiIio1XTEqoqOxlavMQMUIiJqccau4UtKSuycE2ppxtfYfDiAxmIjWSIianGOjo7w9vaWBtRTq9VQqVR2zhXZkhACJSUlKCgogLe3NxwdHZt1vEYFKAkJCfj888/xv//9D+7u7vjLX/6Cv//97wgLC5O2GTlyJJKTk2X7/e1vf8OmTZuk5ezsbMyZMwf79u2Dh4cHYmNjkZCQACcnxktERO2VcXC5+kb9pbbN29vbJgMJNioiSE5ORlxcHAYPHozKykosW7YMY8aMQXp6umz0xVmzZsm6wTUOIQ3oh5aeMGECtFotDh06hNzcXDz66KNwdnbGyy+/3OwLIiIiZVKpVOjatSv8/f1RUVFh7+xQC3B2dm52yYlRowKU7777TracmJgIf39/HDt2DMOHD5fWq9XqOqOn77//Hunp6fjhhx8QEBCA/v37Y82aNXjuueewcuVKq+MKEBFR2+fo6GizLzFqv5rVSLawsBAApFERjbZu3QpfX1/ccsstWLp0qaxRVEpKCiIiIhBgHBsG+gGUioqKkJaWZvE8ZWVlKCoqkk1ERETUfjW50Ud1dTWeeeYZDB06FLfccou0/qGHHkJwcDACAwNx6tQpPPfcc8jIyMDnn38OQD/8s2lwAkBazsvLs3iuhIQErFq1qqlZJSIiojamyQFKXFwcUlNT8eOPP8rWP/HEE9J8REQEunbtilGjRuHcuXO48cYbm3SupUuXYsGCBdJyUVERunfv3rSMExERkeI1qYpn7ty52LlzJ/bt24du3bpZ3TYqKgoAkJmZCUDfijs/P1+2jXG5rnYrrq6u8PT0lE1ERETUfjUqQBFCYO7cudixYwf27t2L0NDQevc5ceIEAKBr164AgOjoaJw+fVr2mNnu3bvh6emJ8PDwxmSHiIiI2qlGVfHExcVh27Zt+PLLL9GpUyepzYiXlxfc3d1x7tw5bNu2DXfddRe6dOmCU6dOYf78+Rg+fDj69u0LABgzZgzCw8PxyCOPYN26dcjLy8Py5csRFxcHV1dX218hERERtTkq0YhO8+vq9W/z5s2YMWMGLl68iIcffhipqanQ6XTo3r077r33XixfvlxWLfPrr79izpw5SEpKgkajQWxsLNauXdvgjtqKiorg5eWFwsJCVvfURacDPDz088XFgEk/NS2yHxERUT0a8/3dqABFKRigNAADFCIiUpjGfH9zsEAiIiJSHAYoREREpDgMUIiIiEhxGKAQERGR4jBAISIiIsVhgEJERESKwwCFiIiIFIcBChERESkOAxQiIiJSHAYoREREpDgMUIiIiEhxGKAQERGR4jBAISIiIsVhgEJERESKwwCFiIiIFIcBChERESkOAxQiIiJSHAYoREREpDgMUIiIiEhxGKAQERGR4jBAISIiIsVhgEJERESKwwCFiIiIFIcBChERESkOAxQiIiJSHAYoREREpDgMUIiIiEhxGKC0FzodoFLpJ53O3rkhIiJqFgYoREREpDgMUIiIiEhxGKAQERGR4jBAISIiIsVhgEJERESKwwCFiIiIFIcBChERESkOAxQiIiJSHAYoREREpDgMUIiIiEhxGKAQERGR4jBAISIiIsVhgEJERESKwwCFiIiIFIcBChERESlOowKUhIQEDB48GJ06dYK/vz8mT56MjIwM2TalpaWIi4tDly5d4OHhgZiYGOTn58u2yc7OxoQJE6BWq+Hv749FixahsrKy+VdDRERE7UKjApTk5GTExcXhp59+wu7du1FRUYExY8ZAp9NJ28yfPx9ff/01tm/fjuTkZOTk5GDKlClSelVVFSZMmIDy8nIcOnQIW7ZsQWJiIlasWGG7qyIiIqI2TSWEEE3d+dKlS/D390dycjKGDx+OwsJC+Pn5Ydu2bbjvvvsAAP/73//Qu3dvpKSkYMiQIfj2229x9913IycnBwEBAQCATZs24bnnnsOlS5fg4uJS73mLiorg5eWFwsJCeHp6NjX77YtOB3h46OeLi/V/TZc1mqYdp6H7ERER1aMx39/NaoNSWFgIAPDx8QEAHDt2DBUVFRg9erS0Ta9evRAUFISUlBQAQEpKCiIiIqTgBADGjh2LoqIipKWlWTxPWVkZioqKZBMRERG1X00OUKqrq/HMM89g6NChuOWWWwAAeXl5cHFxgbe3t2zbgIAA5OXlSduYBifGdGOaJQkJCfDy8pKm7t27NzXbRERE1AY0OUCJi4tDamoqPv74Y1vmx6KlS5eisLBQmi5evNji5yQiIiL7cWrKTnPnzsXOnTuxf/9+dOvWTVqv1WpRXl6Oa9euyUpR8vPzodVqpW1+/vln2fGMT/kYtzHn6uoKV1fXpmSViIiI2qBGlaAIITB37lzs2LEDe/fuRWhoqCx94MCBcHZ2xp49e6R1GRkZyM7ORnR0NAAgOjoap0+fRkFBgbTN7t274enpifDw8OZcCxEREbUTjSpBiYuLw7Zt2/Dll1+iU6dOUpsRLy8vuLu7w8vLCzNnzsSCBQvg4+MDT09PPPXUU4iOjsaQIUMAAGPGjEF4eDgeeeQRrFu3Dnl5eVi+fDni4uJYSkJEREQAGhmgbNy4EQAwcuRI2frNmzdjxowZAID169fDwcEBMTExKCsrw9ixY/H2229L2zo6OmLnzp2YM2cOoqOjodFoEBsbi9WrVzfvSjoaIYCSkpplk75oZPNERERtULP6QbEX9oMCeX8l9WE/KEREpACt1g8KERERUUto0lM8pDDGsY6M/cvk58tLPtTq1s8TERFRMzBAaQ/Mq2E0GlbNEBFRm8YqHiIiIlIcBihERESkOAxQiIiISHEYoBAREZHiMEAhIiIixWGAQkRERIrDAIWIiIgUhwEKERERKQ4DFCIiIlIcBihERESkOAxQiIiISHEYoFD7oQOgMky6JqQTEZFiMEAhIiIixWGAQkRERIrDAIWIiIgUhwEKERERKQ4DFGpb2NCViKhDYIBC1ul0gEqln3SMCIiIqHUwQCEiIiLFYYBCREREisMAhYiIiBTHyd4ZIBvRaAAh7J0LIiIim2AJChERESkOAxQiIiJSHAYoREREpDgMUIiIiEhxGKAQERGR4jBAISIiIsVhgEJERESKwwCFiIiIFIcBChERESkOAxQiIiJSHAYoREREpDgMUIiIiEhxGKAQERGR4nA0Y2rbBIASw7zOZP11ABqTZZ1Zuum8GoCqRXJHRERNxBIUattKAHgYpgCT9feabRdilh5gsl8JiIhIYRigEBERkeIwQCFlE6ipnjGvpjF33mR+h1naBQD5ZsuDDBM/BUREisM2KFQ3na7uZbUaULVCww1jFY41asNf0zYn7mbbaMyWfQEcaUa+iIioRTX6t+P+/fsxceJEBAYGQqVS4YsvvpClz5gxAyqVSjaNGzdOts2VK1cwffp0eHp6wtvbGzNnzkRxcXGzLoRaQECAfjJd9vDQTyUKabihQU3JinkQQkREbVajAxSdTod+/fphw4YNdW4zbtw45ObmStNHH30kS58+fTrS0tKwe/du7Ny5E/v378cTTzzR+NxTx5IPeTUNERG1W42u4hk/fjzGjx9vdRtXV1dotVqLaWfOnMF3332HI0eOYNCgQQCAf/7zn7jrrrvw6quvIjAwsLFZIltSqwHT0iydrqYU5fx5oEcP++QLsG0JSQmAPob5dNRUExERkSK0SPPApKQk+Pv7IywsDHPmzMHly5eltJSUFHh7e0vBCQCMHj0aDg4OOHz4sMXjlZWVoaioSDZRC1GpAI1GPhlp7FCHooG+oayAbQMUAeBXwyRseFwiIrIJmwco48aNw7/+9S/s2bMHf//735GcnIzx48ejqqoKAJCXlwd/f3/ZPk5OTvDx8UFeXp7FYyYkJMDLy0uaunfvbutsExERkYLY/CmeBx54QJqPiIhA3759ceONNyIpKQmjRo1q0jGXLl2KBQsWSMtFRUUMUoiIiNqxFu8BokePHvD19UVmZiYAQKvVoqCgQLZNZWUlrly5Ume7FVdXV3h6esom6iBKAUw1TKV2zgsREbWaFg9QfvvtN1y+fBldu3YFAERHR+PatWs4duyYtM3evXtRXV2NqKiols4OtTVVAD41TFV2zgsREbWaRlfxFBcXS6UhAJCVlYUTJ07Ax8cHPj4+WLVqFWJiYqDVanHu3DksXrwYPXv2xNixYwEAvXv3xrhx4zBr1ixs2rQJFRUVmDt3Lh544AE+wUNEREQAmlCCcvToUURGRiIyMhIAsGDBAkRGRmLFihVwdHTEqVOncM899+Dmm2/GzJkzMXDgQBw4cACurq7SMbZu3YpevXph1KhRuOuuu3Dbbbfh3Xfftd1VEdVHBSDcMHEkYyIixWl0CcrIkSMhRN3PZf7nP/+p9xg+Pj7Ytm1bY09NZDtqAGn2zgQREdWFw6QRERGR4jBAISIiIsVhgEIdk7Gr+z6GeSIiUhSbd9RGZFNqAMUm87YKJgT0Y/AY54mISFEYoJCyqWDbMXiIiKhNYBUPERERKQ4DFFK2MgAzDFOZXXNCREStiAEKKVslgC2GqdLOeSEiolbDNijUfmhgvcGrabqu5bNDRERNxwCFOiYVgGCTeSIiUhQGKNS21FdK0lBqABdscBwiImoRbINCREREisMSFLJOowGMg0Pq2HCDiIhaB0tQqGO6DmCwYbpu57wQEVEtLEEhZVMDKDCZt5VqAEdN5omISFEYoJCyqQD42TsTRETU2ljFQ0RERIrDAIWUrQxAnGFiV/dERB0GAxRStkoAbxsmdnVPRNRhMEAhIiIixWEjWeq4fO2dASIiqgsDFOqYNAAu2TsTRERUF1bxEBERkeIwQCH70EHfx4nKMN/QNCIi6hAYoFDHdB3ASMPEru6JiBSHbVBI2dwBZJnM20o1gGSTeSIiUhQGKKRsDgBC7J0JIiJqbaziISIiIsVhgELKVg5gkWEqt3NeiIio1TBAIWWrAPCqYaqwc16IiKjVMEAhIiIixWEjWeq41PbOABER1YUBCnVMGrATOCIiBWMVDxERESkOAxQiIiJSHAYo1DGVAphgmErtnBciIqqFbVBI2dwBpJrM20oVgG9M5omISFEYoJCyOQDoY+9MEBFRa2MVDxERESkOS1BI2coBvGKYXwbAxY55ISKiVsMAhZStAsAqw/wiMEAhIuogWMVDTafTASqVftKx1zMiIrIdlqBQ6xAASkyWdRbmnVG7hIRxDxFRh9ToEpT9+/dj4sSJCAwMhEqlwhdffCFLF0JgxYoV6Nq1K9zd3TF69GicPXtWts2VK1cwffp0eHp6wtvbGzNnzkRxcXGzLoQUrgSAh8kUYJIWYFj3hoX9erRQfjTQB03CME9ERIrS6ABFp9OhX79+2LBhg8X0devW4c0338SmTZtw+PBhaDQajB07FqWlNb1hTZ8+HWlpadi9ezd27tyJ/fv344knnmj6VZDyuQHYB2C8vTNCRERtgUoIIZq8s0qFHTt2YPLkyQD0pSeBgYF49tlnsXDhQgBAYWEhAgICkJiYiAceeABnzpxBeHg4jhw5gkGDBgEAvvvuO9x111347bffEBgYWO95i4qK4OXlhcLCQnh6ejY1+22bTgd4eOjni4sBTSsUA5ifE2h8HnQmf42lKPnQl2IYq3h00JeomKYB+tGHVU3PPhER2Vdjvr9t2kg2KysLeXl5GD16tLTOy8sLUVFRSElJAQCkpKTA29tbCk4AYPTo0XBwcMDhw4ctHresrAxFRUWyidoojclkvs7SEzqm29syOCkFMNUwsat7IiLFsWmAkpeXBwAICAiQrQ8ICJDS8vLy4O/vL0t3cnKCj4+PtI25hIQEeHl5SVP37t1tmW1qDRUANhimCjvnBdB3b/+pYWJX90REitMmHjNeunQpCgsLpenixYv2zhI1VjmAuYap3M55ISIixbNpgKLVagEA+fn5svX5+flSmlarRUFBgSy9srISV65ckbYx5+rqCk9PT9lEZFM66KuQVOCjzURECmDTACU0NBRarRZ79uyR1hUVFeHw4cOIjo4GAERHR+PatWs4duyYtM3evXtRXV2NqKgoW2aHiIiI2qhGd9RWXFyMzMxMaTkrKwsnTpyAj48PgoKC8Mwzz+DFF1/ETTfdhNDQULzwwgsIDAyUnvTp3bs3xo0bh1mzZmHTpk2oqKjA3Llz8cADDzToCR4iIiJq/xodoBw9ehS33367tLxgwQIAQGxsLBITE7F48WLodDo88cQTuHbtGm677TZ89913cHNzk/bZunUr5s6di1GjRsHBwQExMTF48803bXA5RERE1B40qx8Ue2E/KGh7/aCY9m1i7DTYdFljZduWuLTG5IeIiGyiMd/fHIuHOiY1agITNeTjBBERkd0xQKHW4Qpgp8l8mR3zAuif1mEpCRGRYjFAodbhBGCCybK9AxQiIlK0NtFRG5HNlQGYYZgYLBERKQ5LUKh1VADYapifbs+MGFQC2GKYtzwwNxER2REDFGoanc76sloNqExG9ysH8JhhfmpLZoyIiNoDBijUNGYDQtZabq1Hn4mIqF1igEL2oQFQVw881tKIiKhDYIBCDadW13TQBuirdYwlJ8YBIs1LUoiIiJqAAQo1nEpVd7UNq3OIiMiG+JgxERERKQ5LUKhjUgMoMMw7AigySdNZ2FYFIiJqRQxQqHW4AvjEZN7eVAD8DPNxAN42STNvRsPBA4mIWh0DFGodTmD/J0RE1GBsg0L0OoB8k+V86Kt8UgFkAXC3R6aIiDo2lqBQ66gEsMMwfy+U9c5zhbwKR2OY+tgnO0REpKyvCWrPygDcb5gvBt95RERkFat4iCwpB7DIMJXbOS9ERB0QAxQiSyoAvGqYKuycFyKiDogBChERESkOAxQiIiJSHAYoREREpDgMUIiIiEhx+LAnNZ1GAwhRs6wzH8TGhAuAzSbz1Cy6ch08EjwAAMVLi6Fx0TQojYiorWCAQq3DGcAMe2eCiIjaCgYoRJa4Q9/VvXGeiIhaFQMUah2VAP5jmB8L5b/zHMCu7omI7EjpXxPUXpQBuNswz67uiYioHvyaILKkHMDLhvllYMNeIqJWxgCFCNCPXmzyQBJ0AFYZ5heBAQoRUStjPyhERESkOAxQiBRIV66DapUKqlUq6Mqt9C9DRNROMUAhIiIixWEbFKI2QAiBkooSadm0VMV0Xu2sbtV8ERG1FAYo1DpcALxlMk+NUlJRInVfby7gtQBpPn9hvqyxr3nwolKpWiyPRES2xACFWoczgDh7Z6L9C3g1QL5sErxwXB4iakvYBoXIEjcAPxumKgAqw2TeXlVnJa2F5C/MR/6z+dLy+afPt86JiYhaEUtQqHVUAThgmB8GwNGOeWkIRwCDDfMKe4hG4ywvBfFT+6F4abG0rCvXSSUn558+jx5v9mjV/BER2QIDFGodpQBuN8wXQ98xGtmESqWqs+rGPJghImorGKAQWVIO4A3D/F/tmREioo6JAQqRJRUAFhvmY+2ZESKijokBCpFCmPZ1UqufEz4dTEQdDAMUIoWoq68T00eFiYg6Cps/Zrxy5UqoVCrZ1KtXLym9tLQUcXFx6NKlCzw8PBATE4P8/HwrRyQiIqKOpkVKUPr06YMffvih5iRONaeZP38+du3ahe3bt8PLywtz587FlClTcPDgwZbIClGbZPp4cP6z+bKndNTOalm390RE7VGLBChOTk7QarW11hcWFuL999/Htm3bcMcddwAANm/ejN69e+Onn37CkCFDWiI7pATOANaZzJNVpo8Ha1w0iugBVleuk6qg2CstEbW0FglQzp49i8DAQLi5uSE6OhoJCQkICgrCsWPHUFFRgdGjR0vb9urVC0FBQUhJSWGA0p65AFhk70y0HxoXDUS8qDfNtLEtEVFbYvMAJSoqComJiQgLC0Nubi5WrVqFYcOGITU1FXl5eXBxcYG3t7dsn4CAAOTl5dV5zLKyMpSVlUnLRUVFts5226DTAR6GRpRst9Oy3ADsM5lvAeYlEkREVMPmAcr48eOl+b59+yIqKgrBwcH45JNP4O7u3qRjJiQkYNWqVbbKItlDFYD/GuYHoG10dT/SMM9CCCKiVtfigwV6e3vj5ptvRmZmJrRaLcrLy3Ht2jXZNvn5+RbbrBgtXboUhYWF0nTx4sUWzjXZXCmAWw1TqZ3z0hg6yAMUnclUWce2xslyDQwRETVAiwcoxcXFOHfuHLp27YqBAwfC2dkZe/bskdIzMjKQnZ2N6OjoOo/h6uoKT09P2UTUoioAbAAQDsC0G5IAAB6G6T9m+5imeQBQ4IM2unIdVKtUUK1SsX0KESmazat4Fi5ciIkTJyI4OBg5OTmIj4+Ho6MjHnzwQXh5eWHmzJlYsGABfHx84OnpiaeeegrR0dFsIEvKUg5grr0zQUTUcdk8QPntt9/w4IMP4vLly/Dz88Ntt92Gn376CX5+fgCA9evXw8HBATExMSgrK8PYsWPx9ttv2zobRM2jhn7UZUBfXWMsRclHzUjMrgDKTPYxtltmx69ERM1m8wDl448/tpru5uaGDRs2YMOGDbY+NZHtqFATiJjSmK0vM0uzEWuPEbcW07GBAAvjAxmondVQqThYEBHZFsfiISKL6hobCJCPD8RO24ioJTBAIbIlVwCfmMybqLdEgoUQREQSBijUOpwBxJvMt1dOAKZaTmpoiYQS5S/MB0RNPk3HCiIiagkMUKh1uABYae9MUFOZjg1kaZmIyNYYoBDZUiWAHYb5e1HnJ8y8RMLSiMVERB0ZAxQlEwIoMentS6ezPN8WVAM4Y5jvjVboItBOygDcb5gvRp2fsFolEgoZsZiISCkYoChZSUnN4IDmerSx+v/rAG4xzBfDpo/kUsPoKnSy7vfNe5Ll48JEpCQMUKj90EHfxTzAIMiCgFflDXHNG+bmP5svrePoykRkb+21oL39yc/XT6bLxcX6Sa3A9go6HaBS6ae2Vh1FRER2xxKUtkKjqb1svo5ahgZ1j0xsnqawWEztrJaVhujKdbKGuVDVLlmpi2nvthxokIhaGgMUonZMpVLV2fiWjXKJSMlYxaMkrBYhIiICwBIUamuU3hDWBcBmk3krlDAgIBGRUjFAodbhDGChyXx75Qxghr0zQUTU9jFAodbhAuAVe2eCrNFVcPBCIlIOBijUMnSA9HiLTtfyVTEVkD9BY96ER43W+cKtBPAfw/xYQFetkwYIzH82v87dlMB08D+lD15IRO0fAxRqHdUAsg3zQbB98+x3Acw1WTb/fm2t9iplAO42OafCqrPM273wcWEiUioGKG2JRqMfn6ctug4g1DCvxMatHZRpPynmfaRw8EIisicGKNQ2lMN6Nc4TAKaipuQkH4Ar9NUtGsN8Uyn9yaFmqKufFA5eSET2xn5QSHl00LcXUaEmCHkD+iDBtOomwLBuKoCDANxM0jQAvKAfWXgCGIoTEbUx/Ldtb0LoRy0G5J2ztfWO2ozXBJhci+EXuRCwaYvVbw2TstugEhFRIzBAsbeSEsDDo/b6gDb+FMUtfSAVf/QwNj4xLJeUAB6NrD6YB+BJwyFMq3FMD2PePKcCwFbD/HToq4lauKpGCAGVIfjSleugEyaP7la08aCTiKgVMUAhZasCcMQwP8AsTQN5kGH+/V8O4DHD/FTbZ82SkooSaAyZ8n/VHyUuNSVJpo/xEhGRdQxQlOT8eaCH4UssP18+WrG6DTxFoVYDxYaRcwt0gPH7+HyW/m9Tvp9LAdxqmC+2tqFCuABxd8UBAMody6EuV0P3sj5y0izTyAIWIiKqGwMUJTENSDQa+XKboILlehMN4AkAG/SLTjNa5vQayKt5GlGjoiuv6VCteGkxNM4awBhLNKYDOGfg7VvfBgDkL8zXB1Uv65Oyns6CprP+/ijxsd3mjA1U6/7xCSAiaiYGKGSdtUdszdNgsmyqB4AsQOpJzXWGPF1AHwy4o/ZzZfZqtlECy9di1jRId0UHjzdrvphNaZw1sgED+eguEVHD8TFjsj9jMHDGQlprNdvQAWKlgFgp9EGRG4B9AMbXsb0vgHWo3VNsFTAiawRGZI3Qt58hIqImYQkKtYxUALcY5s9D/4Ven3UA3q5nG/NqnKYyLZmxVNviCGAkgMGo+8khDfQNcU2VAklbkvSnWM+ndurDqiEiqgsDFLIdJwCxhnlPk/UaNKzbk3+hdoBiGhA0tdnGIAvrTKtqrDW+Nf++NH9yiIiIWgQDFLIdVwCJhvkCGx3TFgHBYsMxGlOgUQH9AISAvg8VU1UA/muYvwVWmZYItNfSAV2FTlaqZT4AodpZDZWqNYaSJqL2hAGKkrTlwQCVSA196YilcXjOw3r7lnLUjI5s1oeKuC6gutXQGVu+SUds5TqgAlI/KB1FwKvylsPGAQeNWHVDRE3BAIVsx/g0DgCozR6ZNi++0OlqetDNb0S3rqb7FRdbfxS7rqeeAQi1WY+v5TopsNBd0wHONYGGae+wgLwztpA3QqQndQJeC9D3e2K3R4+IiNoPBigkZxpkALX7ADH9wi81SzNvTNraGhG8GIOMdN90DH51sH53w8VqbtZAU1mzb4lLCTTC5FjmDWMbnD+TefP+U9oYtbNa9li1rlwnlZzkP5sPqGqXrBgJIVBSUSLtZ3oM83Owaoio42KAQnJ19f8B6IMP0xqov5qlmWpGp2nWO1+xrXVD16HEpQTq8qa1wE17Mg093tPXFeU/mw9NhQZ4GRC+onZnbOYNc9twrYdKpaqz2qa+6pySihLpyR1TrBoiIlMMUMj+nAEsNJmvaIVzqvVdz5c7ltfq8VX3iw46jQ6hb+gHOSxQ193iV+MsbwSrUemXVYtV+hiLtT1ERE3CAIXkHAHcZZj/F/RPrNRVbfMegC9M0kx/7NZXIKEDpCKWCh3wiklaSwUopqU65ZDGxanV46u3BtDUpDeqKsbYMNe8Azeg/oa59tZCBVfmfZ2YOv/0eWkQxfqqhoioY2GAQnJuAHaZLJuWAJh/YbmZpTX0C02nMxxXY7YMRQ6KaO0LthbzhrnWSlAaM4xAY4KFljquFebj+Ji3J6lzP7MSqLaMnc4R2RYDFGp9AQHQFzUYvsR6hALw088XpckHYBBCH8AY1TVv3LY1OAMrR6wEACxSL2ryAHvN0nrNdIiI7IIBCtmBC/QjAxr5Arign/2jQP5le+kS0KOOepEAs6qA/KY/OqTprJGqfzTQWC8BcAFW3b4KALDIZVHDT+IMIN5kvjXa2iiArsLsSR0+mENEDcAApSVYe9zVPE1pdAD8DfP19QZr+h1eYLIfUPsxWrW65nrnuwD/Z/qsbnrNbI9QyJ5zris4sTXz18VSG5KGsPaYtgCw0mTZHgGKtcfGW4ixjQlQ+0mdplYN1YfVLURtHwMUBdGV6+DxqgL+qZp+wVobnM80e+ZxRD5qGtcWA9CoagI1Z6BJnYkYS0iMJSfmy/Uw/dLKf7YZHbVUA+EF4fr5P1EzEKIx3qzrMe01qOk+HzBUUZm0w7HW6RwRUQfDAKW9aGrDSPO0RpxD1vuqk07WuVktAsAfhvnXoH+s2BjUnBOAh+GXs7oAKNHJgxDjF7daDd21S/BYaciCs1nDSmvtU5rR+LZWFUUJkPZ2mn55aX2/+E2CkHIdkKbRr+qN2qUZ5ah5mqjaLM2U+aUIC8cyZyzZMd/OvITHRkw7ctNd1cFfqy9eK8gr0FenmWynOGzfQ6QIDFCaiv/EAA2gWqmvxyl+ulhfZVFXYUYJaqqAzO+Xhwrwr1mhq9DJg5CGliyYVgeZl6o0o9rGvIpC1p29aWmTaYAB6EuRdKgJxJZAH5hYPAn0QZvxcesMkzTze3oZ8vGFLqH+x5ctdcBnqdTLRmQduZk+wu2isVnJoHk1jtpZXdND7VUdxEp9xFUwuwDoXLOf2lkNVYnKJp9f9opL1HIc6t+k5WzYsAEhISFwc3NDVFQUfv75Z3tmR0b3S4G+DYXKMG+e/nuByXy+4VFZ/aTL/AP6n6NCP28lTRQXQ+cM/ZRzHWKlgFgpoPtNJ40RoyvXQQgB3VVdTZ6uyv8Bmi7XSrPyj9PaftK6Os4pY/aYseycV00eI5a2Nx+rp/l0zoBqpX7SORsKFoz3tlwH3TWT18xkXnp96lh2N6mNcjermdKEmSw8rwPcBJBWop/czYoo/qyntKWivObcJabFWWb7LQBQYLKuh/lxrZQk1VXUch+AKybLF3Q1JSw66G9mVs17AVlmxy0wSSuQp2muWZ4H6jmmWbo4Xyz7TOjO/lHzeTn7By6VXIJHggc8Ejww6OU+0iEGvdxHWu+R4IGSihKzz6/88201zez/grFXXI8EDwx6vo+Un0HPWzinlf8pLZHW1o7bUc7Z1q7FnuxWgvLvf/8bCxYswKZNmxAVFYV//OMfGDt2LDIyMuDv71//AZTkeingoa1ZdvSF/mctgIGDgKo/6kwrcfgDHs/rF30TB+GSIa3Pxj74w6Nmv1r9b5gX65eYzZfAcmdpOsh/5ZdY2KYOAvLGjDphFvg4A7hi2LbapL4gFEAl5Ps66xCw0jB2i8iHplxegiKbNw12TEpBdM4AnARwRf/TX+iKgfdv1CdmndcXGhi6ocebAfrgwnDtfTZG1NyHgAB5g9WAAH1/a4Zz6TJSEfCvWwAAF+adh8bZX+p1tpbSEqCPaVGFyePUt4ajpp4rBPpiEGNRSW/gjTzgjQr9PoezIP3E/xn6di49TA5Zl3zo3163GJaNpQPCkPYrgFsNaamGbMCwTZbJcW6BnHn1n+n7z/xnjnnVkel7rBSNoquoqUa8dP0yAhJCpLTuV3yRbfi8DHp3EC52/gPqCv3Nca+o6aTHdB4AcN0wmS7XETuKMlETmKsBXcV1KQ7XVVzvME9iEdmD3QKU119/HbNmzcJjjz0GANi0aRN27dqFDz74AEuWLLFXtpqmBKj51mjEN359BKR/uLUOewXATSbLjibz4QBuQM3DMZdM0kKg7x3W0n4lkAcvZm0SSipK4GH40vR/1b+mp1XUfjojf3a+tK25+vY1FbCx7rqLWuecc75mQd28UhkVAI3xy8elJiLQOGv0Pc0av7ALUBM4LLN0pBLUPM5k+mj1Bci/Fa9D/21nCGiiTNJuhdyLAApNlk+jpvqsk9lhLwO40VK+DKdq6m26jpoqkhEAPjFJGwQpUK3lfujz2wC6Ch1gEhBcr7T+2VJXqKF7WX/xOseaX4HHPj2KkiyV1EOt2z1uKD1ocpMGouYzoQZwvCap6ikBr2R9DjTLNOhSrJYHRT41PyIOPL4feFM/f/SJo0CIO3vFJWoGuwQo5eXlOHbsGJYuXSqtc3BwwOjRo5GSkmKPLMnofimA7sJlaAz/9XUXLtckdgLgBugKa9IxzB3GbwVdSjZ0f+qgGWM4Vsp+oGsX/UKJ/liasYa0b/YD3dVQfxiOalU1js46AryqT0ublgaVuwp+t/gBACo/q8SVb69Ivyar7zFtRVlbtaiGg4fhp62j1U1rhEMWvOhy9CUdxnOW1PMFYcpYLw+g1tg2Jc42DOJM6EzPWSH/SZwfmwoI1JSEPPwzNP303/zqi3mASlXn00GackCsNBxoDvSNeI00Jo2RXPLlwYH5U0bnL9TdVuR8mj5YCAi1fpGTKwFRBvxh0vj2ig6IMMyPrQQ2mqSZBzcyOn2AFW4IwHaY7Jes0/edF27ylNFlk/TfTBv/VsnzY63DvMoq4JKupmDJdL+LOqAC6FLcBdddriP05VB0u+qDDFwEAIx5Zwx8PHzgIByQNuMo8HtJTUBw335oArpIJVuaqprIy6NcA9XVmgEhq8rqfoJMCAFdfs1nu6qiZltNuQbuFTWNf9wr3KAuV8O1whWOwhHuJm14NEUArgLeJd4odyyH7vdLQP712v9T3AA4QHZOXf5l/f0pB1AJ+f8i0zQns/1M/0+5AnBswnErLOTH9LguFs5rum9FHcc1lKDWeVxns7TfL9f85qvU59nicasAVFs5rnleTY9bZXbM30zSqg33qKHHNdtXdtyLJmnCcI/qOq75a/abfF/ZcbMvy0pTdb+ZpOWZHBOo/ZpeNNvX9Li/1qRputm3NkMlRGt1v1kjJycHN9xwAw4dOoTo6Ghp/eLFi5GcnIzDhw/Lti8rK0NZWZm0XFhYiKCgIFy8eBGenp62z6AXoHO4BE21Pjgwnb/kfgnhceHw+9MD6e9k1UrXL+ugqdb/gwx9KhRH3jsC3+u+tdJM549pj6HX3l7QhNf9k1bnqJP+8WZ0zkDY1ZoGEKbHCv9bOHSuOnz+yecYmDfQ4jn/cPsDt8TdAp9iH6S/k17rGEaX3C7Br1R/bSFPheDCPy/o12degtpLXtdQUlGCnm/2rOfmAplPZ9rs6Y2GnjPnVUBTWVdiTu12MDodEBjYvMyZH9e8jxQjJ+i/UKRzuhs2NtaHuKGmFMZYN5GDmuIPky95HAAwFUCeYfkSpF560QP6/7wXDMvGaknjtqbH0UFf/WQsfnsYwEEAN1vYFtAXO0Qa5kMAfAegVx3HvWy4vmALafLX4Q+Xi/At715Huvm+MFkeCOBYncfVOV6Cpkp/X8L/FoK1e9/EPWfv0afV8dm3fE5r+TE7p5XjtkRaWztuRzmnEq6l0CEfXtUB9e9bCJsrKipC9+7dce3aNXh5eVnfWNjB77//LgCIQ4cOydYvWrRI3HrrrbW2j4+P17cq5cSJEydOnDi1+enixYv1xgp2qeLx9fWFo6Mj8s26Js/Pz4dWq621/dKlS7FgwQJpubq6GleuXEGXLl0U8+ieMSpssVKddoD3qH68R9bx/tSP96h+vEf1a6l7JITAn3/+icAGlFDbJUBxcXHBwIEDsWfPHkyePBmAPujYs2cP5s6dW2t7V1dXuLq6ytZ5e3u3Qk4bz9PTk2/4evAe1Y/3yDren/rxHtWP96h+LXGP6q3aMbDbUzwLFixAbGwsBg0ahFtvvRX/+Mc/oNPppKd6iIiIqOOyW4Aybdo0XLp0CStWrEBeXh769++P7777DgENHFeFiIiI2i+7dnU/d+5ci1U6bZGrqyvi4+NrVUVRDd6j+vEeWcf7Uz/eo/rxHtVPCffILo8ZExEREVlj17F4iIiIiCxhgEJERESKwwCFiIiIFIcBSiOtXLkSKpVKNvXq1UtKLy0tRVxcHLp06QIPDw/ExMTU6pCuPdm/fz8mTpyIwMBAqFQqfPHFF7J0IQRWrFiBrl27wt3dHaNHj8bZs2dl21y5cgXTp0+Hp6cnvL29MXPmTBQXmw+f23bVd49mzJhR6z01btw42Tbt+R4lJCRg8ODB6NSpE/z9/TF58mRkZGTItmnI5yo7OxsTJkyAWq2Gv78/Fi1ahMrKusY3aFsaco9GjhxZ6300e/Zs2Tbt+R5t3LgRffv2lfrtiI6Oxrfffiuld/T3UH33R4nvHwYoTdCnTx/k5uZK048//iilzZ8/H19//TW2b9+O5ORk5OTkYMqUKXbMbcvS6XTo168fNmzYYDF93bp1ePPNN7Fp0yYcPnwYGo0GY8eORWlpqbTN9OnTkZaWht27d2Pnzp3Yv38/nnjiida6hBZX3z0CgHHjxsneUx999JEsvT3fo+TkZMTFxeGnn37C7t27UVFRgTFjxkCnqxl5sb7PVVVVFSZMmIDy8nIcOnQIW7ZsQWJiIlasWGGPS7K5htwjAJg1a5bsfbRu3Toprb3fo27dumHt2rU4duwYjh49ijvuuAOTJk1CWloaAL6H6rs/gALfPzYZXKcDiY+PF/369bOYdu3aNeHs7Cy2b98urTtz5owAIFJSUloph/YDQOzYsUNarq6uFlqtVrzyyivSumvXrglXV1fx0UcfCSGESE9PFwDEkSNHpG2+/fZboVKpxO+//95qeW8t5vdICCFiY2PFpEmT6tyno92jgoICAUAkJycLIRr2ufrmm2+Eg4ODyMvLk7bZuHGj8PT0FGVlZa17Aa3A/B4JIcSIESPEvHnz6tyno90jIYTo3LmzeO+99/geqoPx/gihzPcPS1Ca4OzZswgMDESPHj0wffp0ZGdnAwCOHTuGiooKjB49Wtq2V69eCAoKQkpKir2yazdZWVnIy8uT3Q8vLy9ERUVJ9yMlJQXe3t4YNGiQtM3o0aPh4OBQa1Tr9iwpKQn+/v4ICwvDnDlzcPlyzXDpHe0eFRbqh1D18fEB0LDPVUpKCiIiImQdPY4dOxZFRUWyX4jthfk9Mtq6dSt8fX1xyy23YOnSpSgpqRk+uyPdo6qqKnz88cfQ6XSIjo7me8iM+f0xUtr7x64dtbVFUVFRSExMRFhYGHJzc7Fq1SoMGzYMqampyMvLg4uLS61xggICApCXl2f5gO2Y8ZrNewc2vR95eXnw9/eXpTs5OcHHx6fD3LNx48ZhypQpCA0Nxblz57Bs2TKMHz8eKSkpcHR07FD3qLq6Gs888wyGDh2KW265BQAa9LnKy8uz+D4zprUnlu4RADz00EMIDg5GYGAgTp06heeeew4ZGRn4/PPPAXSMe3T69GlER0ejtLQUHh4e2LFjB8LDw3HixAm+h1D3/QGU+f5hgNJI48ePl+b79u2LqKgoBAcH45NPPoG7u7sdc0Zt1QMPPCDNR0REoG/fvrjxxhuRlJSEUaNG2TFnrS8uLg6pqamydl0kV9c9Mm2TFBERga5du2LUqFE4d+4cbrzxxtbOpl2EhYXhxIkTKCwsxKefforY2FgkJyfbO1uKUdf9CQ8PV+T7h1U8zeTt7Y2bb74ZmZmZ0Gq1KC8vx7Vr12Tb5OfnQ6vV2ieDdmS8ZvOW8qb3Q6vVoqCgQJZeWVmJK1eudMh7BgA9evSAr68vMjMzAXScezR37lzs3LkT+/btQ7du3aT1DflcabVai+8zY1p7Udc9siQqKgoAZO+j9n6PXFxc0LNnTwwcOBAJCQno168f3njjDb6HDOq6P5Yo4f3DAKWZiouLce7cOXTt2hUDBw6Es7Mz9uzZI6VnZGQgOztbVs/XUYSGhkKr1cruR1FREQ4fPizdj+joaFy7dg3Hjh2Tttm7dy+qq6ulD0hH89tvv+Hy5cvo2rUrgPZ/j4QQmDt3Lnbs2IG9e/ciNDRUlt6Qz1V0dDROnz4tC+R2794NT09PqQi7LavvHlly4sQJAJC9j9rzPbKkuroaZWVlfA/VwXh/LFHE+6dFmt62Y88++6xISkoSWVlZ4uDBg2L06NHC19dXFBQUCCGEmD17tggKChJ79+4VR48eFdHR0SI6OtrOuW45f/75pzh+/Lg4fvy4ACBef/11cfz4cfHrr78KIYRYu3at8Pb2Fl9++aU4deqUmDRpkggNDRXXr1+XjjFu3DgRGRkpDh8+LH788Udx0003iQcffNBel2Rz1u7Rn3/+KRYuXChSUlJEVlaW+OGHH8SAAQPETTfdJEpLS6VjtOd7NGfOHOHl5SWSkpJEbm6uNJWUlEjb1Pe5qqysFLfccosYM2aMOHHihPjuu++En5+fWLp0qT0uyebqu0eZmZli9erV4ujRoyIrK0t8+eWXokePHmL48OHSMdr7PVqyZIlITk4WWVlZ4tSpU2LJkiVCpVKJ77//XgjB95C1+6PU9w8DlEaaNm2a6Nq1q3BxcRE33HCDmDZtmsjMzJTSr1+/Lp588knRuXNnoVarxb333ityc3PtmOOWtW/fPgGg1hQbGyuE0D9q/MILL4iAgADh6uoqRo0aJTIyMmTHuHz5snjwwQeFh4eH8PT0FI899pj4888/7XA1LcPaPSopKRFjxowRfn5+wtnZWQQHB4tZs2bJHuUTon3fI0v3BoDYvHmztE1DPlcXLlwQ48ePF+7u7sLX11c8++yzoqKiopWvpmXUd4+ys7PF8OHDhY+Pj3B1dRU9e/YUixYtEoWFhbLjtOd79Pjjj4vg4GDh4uIi/Pz8xKhRo6TgRAi+h6zdH6W+fziaMRERESkO26AQERGR4jBAISIiIsVhgEJERESKwwCFiIiIFIcBChERESkOAxQiIiJSHAYoREREpDgMUIiIiEhxGKAQtYCVK1eif//+VreZMWMGJk+e3Cr5UaILFy5ApVJJY34QNYRKpcIXX3zRIsdOSkqCSqWqNahgY/B9bTsMUNqhS5cuYc6cOQgKCoKrqyu0Wi3Gjh2LgwcPAgBCQkKgUqmgUqmgVqsRERGB9957z865bryVK1dK12E6aTQaaZvExMRa6W5ubjbNR1P/Yb7xxhtITExs1D6lpaWIi4tDly5d4OHhgZiYmFojjLZVJ0+exIMPPoju3bvD3d0dvXv3rnOk1bbKVq/fqVOnMGzYMLi5uaF79+5Yt26dLD0tLQ0xMTHSZ/0f//iHja6AqPUwQGmHYmJicPz4cWzZsgW//PILvvrqK4wcORKXL1+Wtlm9ejVyc3ORmpqKhx9+GLNmzcK3335rx1w33sKFC5GbmyubwsPDMXXqVNl2np6esm1+/fVXO+VYzsvLC97e3o3aZ/78+fj666+xfft2JCcnIycnB1OmTGmZDLayY8eOwd/fHx9++CHS0tLw/PPPY+nSpXjrrbeaddzy8nIb5bD5bPH6FRUVYcyYMQgODsaxY8fwyiuvYOXKlXj33XelbUpKStCjRw+sXbsWWq3W1pdB1DpabJQfsourV68KACIpKanObYKDg8X69etl63x8fMT8+fMbdI4RI0ZYHLgsKytLCKEf2Oztt98W48aNE25ubiI0NFRs375ddozDhw+L/v37C1dXVzFw4EDx+eefCwDi+PHj0ja7du0SN910k3BzcxMjR44UmzdvFgDE1atXLebrxIkTAoDYv3+/tG7z5s3Cy8urQddlSXBwsFi9erV44IEHhFqtFoGBgeKtt96SpZveg+DgYCGEEPHx8aJfv35i06ZNolu3bsLd3V1MnTpVXLt2Tdo3NjZWTJo0SVoeMWKEeOqpp8SiRYtE586dRUBAgIiPj5fSr127JpydnWX38syZMwKASElJqfdajIMW7ty5U0RERAhXV1cRFRUlTp8+LW1jvF/fffed6NWrl9BoNGLs2LEiJyenVr5feukl4e/vL7y8vMSqVatERUWFWLhwoejcubO44YYbxAcffCA7f0Nec3NPPvmkuP3226XlxtzXF198UXTt2lWEhIQIIYQ4deqUuP3224Wbm5vw8fERs2bNkg24aNzvlVdeEVqtVvj4+Ignn3xSlJeXS9vk5OSIu+66S7i5uYmQkBCxdetWi58nSxry+jXkNXr77bdF586dRVlZmbTuueeeE2FhYRbP29D8mRoxYoSIi4sTcXFxwtPTU3Tp0kUsX75cVFdXS9v861//EgMHDhQeHh4iICBAPPjggyI/P19Kv3LlinjooYeEr6+vcHNzEz179pTeE2VlZSIuLk5otVrh6uoqgoKCxMsvv9ygvAEQO3bskJatva6nT58WKpVKGm3+8uXLQqVSiWnTpkn7r1mzRgwdOlQIUf/9LywsFG5ubuKbb76R5enzzz8XHh4eQqfTiaysrHrf19QwLEFpZzw8PODh4YEvvvgCZWVl9W5fXV2Nzz77DFevXoWLi0uDzvH555/LSiSmTJmCsLAwBAQESNu88MILiImJwcmTJzF9+nQ88MADOHPmDACguLgYd999N8LDw3Hs2DGsXLkSCxculJ3j4sWLmDJlCiZOnIgTJ07gr3/9K5YsWWI1X++99x5uvvlmDBs2TLa+uLgYwcHB6N69OyZNmoS0tLQGXafRK6+8gn79+uH48eNYsmQJ5s2bh927dwMAjhw5AgDYvHkzcnNzpWUAyMzMxCeffIKvv/4a3333HY4fP44nn3zS6rm2bNkCjUaDw4cPY926dVi9erV0rmPHjqGiogKjR4+Wtu/VqxeCgoKQkpLS4OtZtGgRXnvtNRw5cgR+fn6YOHEiKioqpPSSkhK8+uqr+H//7/9h//79yM7OrvX67N27Fzk5Odi/fz9ef/11xMfH4+6770bnzp1x+PBhzJ49G3/729/w22+/AWjYa25JYWEhfHx8ZOsacl/37NmDjIwM7N69Gzt37oROp8PYsWPRuXNnHDlyBNu3b8cPP/yAuXPnyvbbt28fzp07h3379mHLli1ITEyUVcM9+uijyMnJQVJSEj777DO8++67KCgoaNB9b8zrZ+01SklJwfDhw2Wf17FjxyIjIwNXr15tUF4aYsuWLXBycsLPP/+MN954A6+//rqsKriiogJr1qzByZMn8cUXX+DChQuYMWOGlP7CCy8gPT0d3377Lc6cOYONGzfC19cXAPDmm2/iq6++wieffIKMjAxs3boVISEhjc5jfa9rnz590KVLFyQnJwMADhw4IFsGgOTkZIwcOVJ23Lruv6enJ+6++25s27ZNtv3WrVsxefJkqNXqRl8DWWHvCIls79NPPxWdO3cWbm5u4i9/+YtYunSpOHnypJRuHHJbo9EIJycnAUD4+PiIs2fPNvpcr7/+uvD29hYZGRnSOgBi9uzZsu2ioqLEnDlzhBBCvPPOO6JLly7i+vXrUvrGjRtlvzqWLl0qwsPDZcd47rnn6ixBuX79uujcubP4+9//Llt/6NAhsWXLFnH8+HGRlJQk7r77buHp6SkuXrzYoOsLDg4W48aNk62bNm2aGD9+vOx6TX/RCaH/pe/o6Ch+++03ad23334rHBwcpCHeLZWg3HbbbbLjDB48WDz33HNCCCG2bt0qXFxcauVx8ODBYvHixfVei/HX4ccffyytu3z5snB3dxf//ve/hRBCKqXKzMyUttmwYYMICAiQlmNjY0VwcLCoqqqS1oWFhYlhw4ZJy5WVlUKj0YiPPvpICNGw19zcwYMHhZOTk/jPf/4jrWvofQ0ICJCVMLz77ruic+fOori4WFq3a9cu4eDgIPLy8mTXVVlZKW0zdepU6de2sbTjyJEjUvrZs2cFgAaVUDTk9WvIa3TnnXeKJ554QnaMtLQ0AUCkp6fXOn5TS1B69+4tKzF57rnnRO/evevc58iRIwKAVHoxceJE8dhjj1nc9qmnnhJ33HGH7PgNZfp5a8jrOmXKFBEXFyeEEOKZZ56RSijPnDkjysvLhVqtFt9//70QomH3f8eOHVJpiRA1pSrffvutEEKwBMWGWILSDsXExCAnJwdfffUVxo0bh6SkJAwYMED2S3DRokU4ceIE9u7di6ioKKxfvx49e/Zs1Hm+/fZbLFmyBP/+979x8803y9Kio6NrLRtLUM6cOYO+ffvKGquab3/mzBlERUVZPaapHTt24M8//0RsbGytfR599FH0798fI0aMwOeffw4/Pz+88847Db5Oa9diTVBQEG644QbZftXV1cjIyKhzn759+8qWu3bt2uBf6A1lej0+Pj4ICwuTXY9arcaNN95oNQ99+vSBg0PNv4+AgABERERIy46OjujSpYu0X0Nec1OpqamYNGkS4uPjMWbMGFlaQ+5rRESErIThzJkz6Nevn6wB9dChQ2vt16dPHzg6Olq89oyMDDg5OWHAgAFSes+ePdG5c+c6r6Op6nuNWsOQIUOgUqlkeTp79iyqqqoA6EuEJk6ciKCgIHTq1AkjRowAAGRnZwMA5syZg48//hj9+/fH4sWLcejQIelYM2bMwIkTJxAWFoann34a33//fZPy2JDXdcSIEUhKSgKgLy254447MHz4cCQlJeHIkSOoqKjA0KFDZce1dv/vuusuODs746uvvgIAfPbZZ/D09JSVjJFtMEBpp9zc3HDnnXfihRdewKFDhzBjxgzEx8dL6b6+vujZsyeGDRuG7du34+mnn0Z6enqDj5+eno4HHngAa9eurfUFYg/vvfce7r77blk1kyXOzs6IjIxEZmZmK+WscZydnWXLKpUK1dXVAACtVovy8vJaj0Dm5+fbtCGkpTwIIerdxlreGyM9PR2jRo3CE088geXLlzd6fwCyL6zGsNU1WGKr10+r1dZ68se43FoNYo1VK56enti6dSuOHDmCHTt2AKhplDx+/Hj8+uuvmD9/PnJycjBq1CipWm/AgAHIysrCmjVrcP36ddx///247777WiSvI0eORHp6Os6ePYv09HTcdtttGDlyJJKSkpCcnIxBgwY1qmrGxcUF9913n1TNs23bNkybNg1OTk4tkv+OjAFKBxEeHg6dTmcxrXv37pg2bRqWLl3aoGP98ccfmDhxImJiYjB//nyL2/z000+1lnv37g0A6N27N06dOoXS0tI6t+/duzd+/vlnq8c0ysrKwr59+zBz5sx6815VVYXTp0+ja9eu9W5b13lNrwXQf6kZf1Ways7ORk5Ojmw/BwcHhIWFNfjcpgYOHAhnZ2fs2bNHWpeRkYHs7GyrpRHmTK/n6tWr+OWXX2TX0xIa8poD+sdjb7/9dsTGxuKll16yeKym3NfevXvj5MmTss/AwYMHG/V6hIWFobKyEsePH5fWZWZmNrjdR2NeP2uvUXR0NPbv3y9rN7R7926EhYXZtDTn8OHDtfJ00003wdHREf/73/9w+fJlrF27FsOGDUOvXr0slvT5+fkhNjYWH374If7xj3/InjTy9PTEtGnT8H//93/497//jc8++wxXrlxpVB4b8rpGRESgc+fOePHFF9G/f394eHhg5MiRSE5ORlJSUq32J8ZrNbL0GZk+fTq+++47pKWlYe/evZg+fXqj8k0NwwClnbl8+TLuuOMOfPjhhzh16hSysrKwfft2rFu3DpMmTapzv3nz5uHrr7/G0aNH6z1HTEwM1Go1Vq5ciby8PGky/ZLevn07PvjgA/zyyy+Ij4/Hzz//LDVce+ihh6BSqTBr1iykp6fjm2++wauvvio7x+zZs3H27FksWrQIGRkZ2LZtW519hnzwwQfo2rUrxo8fXytt9erV+P7773H+/Hn897//xcMPP4xff/0Vf/3rX+u9TqODBw9i3bp1+OWXX7BhwwZs374d8+bNk9JDQkKwZ88e5OXlyb6s3NzcEBsbi5MnT+LAgQN4+umncf/99zf5V66XlxdmzpyJBQsWYN++fTh27Bgee+wxREdHY8iQIQ0+zurVq7Fnzx6kpqZixowZ8PX1bfEO4xrymqempuL222/HmDFjsGDBAul9denSJdl2Tbmv06dPl/ZLTU3Fvn378NRTT+GRRx6pt9TNqFevXhg9ejSeeOIJ/Pzzzzh+/DieeOIJuLu7y6pC6tKY18/aa/TQQw/BxcUFM2fORFpaGv7973/jjTfewIIFC6T9y8vLceLECZw4cQLl5eX4/fffceLEiUaVHGZnZ2PBggXIyMjARx99hH/+85/S+z4oKAguLi745z//ifPnz+Orr77CmjVrZPuvWLECX375JTIzM5GWloadO3dKX/Kvv/46PvroI/zvf//DL7/8gu3bt0Or1Tb6sfuGvK4qlQrDhw/H1q1bpWCkb9++KCsrw549e6SqKVP1fUaGDx8OrVaL6dOnIzQ0tFZ1NNmIvRvBkG2VlpaKJUuWiAEDBggvLy+hVqtFWFiYWL58uSgpKRFC1N1obuzYsbLGn3WBhUeMYfaY8YYNG8Sdd94pXF1dRUhIiNTAzCglJUX069dPuLi4iP79+4vPPvusVsOyr7/+WvTs2VO4urqKYcOGiQ8++KBWI9mqqirRrVs3sWzZMot5feaZZ0RQUJBwcXERAQEB4q677hL//e9/671Go+DgYLFq1SoxdepUoVarhVarFW+88YZsm6+++kr07NlTODk51XrM+O233xaBgYHCzc1N3HfffeLKlSvSfpYayc6bN0927EmTJonY2Fhp+fr16+LJJ58UnTt3Fmq1Wtx7771S49D6GBsAfv3116JPnz7CxcVF3HrrrbIG1JYey96xY4cw/Vdhnu+68m7+PqvvNY+Pj7f4vjLeU+M2jb2vRg19zNjUvHnzxIgRI6TlnJwcMX78eOHq6iqCg4PFtm3bhL+/v9i0aVOt81lS3+vXkNdICCFOnjwpbrvtNuHq6ipuuOEGsXbtWlm6saGm+WR6LdaMGDFCPPnkk2L27NnC09NTdO7cWSxbtkzWqHXbtm0iJCREuLq6iujoaPHVV1/JXs81a9aI3r17C3d3d+Hj4yMmTZokzp8/L4TQN27t37+/0Gg0wtPTU4waNarBn0s04jFjo/Xr1wsAUkNWIfSfLScnJ9m2Db3/QgixePFiAUCsWLFCtp6NZG2HAQrZnPk/kIZoyIfa+M+jrn5QWkJTnoBQKnvcP1szBihKcfHiRQFA/PDDDzY5nlJeI0sBJ1FrY6seIqIG2rt3L4qLixEREYHc3FwsXrwYISEhGD58uL2zRtTusA0K1TJ+/Hipwzfz6eWXX7Z39mzmwIEDdV6nh4eHvbPXaLNnz67zWmbPnm3v7LULFRUVWLZsGfr06YN7770Xfn5+SEpKgrOzM7Zu3Vrn/e/Tp4+9sy7Jzs62+r43PiZsD23lHlLrUAlh9vwgdXi///47rl+/bjHNx8enVs+ebdX169fx+++/15ne2H5h7K2goABFRUUW0zw9PeHv79/KOepY/vzzzzoH/nN2dkZwcHAr58iyyspKXLhwoc70kJAQuz0y21buIbUOBihERESkOKziISIiIsVhgEJERESKwwCFiIiIFIcBChERESkOAxQiIiJSHAYoREREpDgMUIiIiEhxGKAQERGR4vx/pRje6un1tsEAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "out = moment_morph([ha, hb], params=[75, 150], param_interp=110, components=True)\n",
    "hep.histplot(ha, color='red', label=\"Ref1 (75)\")\n",
    "# hep.histplot(hc, color='blue', label=\"Ref2 (125)\")\n",
    "hep.histplot(hb, color='green', label=\"Ref3 (150)\")\n",
    "\n",
    "hep.histplot(out, color='magenta', ls='--', label=f\"Interp {mp}\")\n",
    "# om = AffineMorphTemplate((np.sum(out, axis=0)[:-1], hb.axes[0].edges, \"x\"))\n",
    "# hep.histplot(om.get(shift=150), density=True, color='green', ls='--')              \n",
    "# hep.histplot(hc, color='orange', ls='--', density=False, label=\"Ref2 (125)\")\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 894,
   "id": "d8f31ce1-c52d-472f-b921-034f1198d0ea",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f5b57b51300>"
      ]
     },
     "execution_count": 894,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "out = moment_morph([ha, hb], params=[75, 150], param_interp=110, components=True, vertical_only=True)\n",
    "hep.histplot(ha, color='red', label=\"Ref1 (75)\")\n",
    "# hep.histplot(hc, color='blue', label=\"Ref2 (125)\")\n",
    "hep.histplot(hb, color='green', label=\"Ref3 (150)\")\n",
    "\n",
    "hep.histplot(out, hb.axes[0].edges, color='magenta', ls='--', label=f\"Interp {mp}\")\n",
    "# om = AffineMorphTemplate((np.sum(out, axis=0)[:-1], hb.axes[0].edges, \"x\"))\n",
    "# hep.histplot(om.get(shift=150), density=True, color='green', ls='--')              \n",
    "# hep.histplot(hc, color='orange', ls='--', density=False, label=\"Ref2 (125)\")\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "899c0b1e-7337-4aa2-aeec-69b6e62b3e66",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ad950822-7300-4fa1-a0f3-0156d6ff830c",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}