{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### [881\\. Boats to Save People](https://leetcode.com/problems/boats-to-save-people/)\n",
    "\n",
    "Difficulty: **Medium**  \n",
    "\n",
    "Related Topics: [Two Pointers](https://leetcode.com/tag/two-pointers/), [Greedy](https://leetcode.com/tag/greedy/)\n",
    "\n",
    "\n",
    "The `i`-th person has weight `people[i]`, and each boat can carry a maximum weight of `limit`.\n",
    "\n",
    "Each boat carries at most 2 people at the same time, provided the sum of the weight of those people is at most `limit`.\n",
    "\n",
    "Return the minimum number of boats to carry every given person.  (It is guaranteed each person can be carried by a boat.)\n",
    "\n",
    "\n",
    "**Example 1:**\n",
    "\n",
    "```\n",
    "Input: people = [1,2], limit = 3\n",
    "Output: 1\n",
    "Explanation: 1 boat (1, 2)\n",
    "```\n",
    "\n",
    "\n",
    "**Example 2:**\n",
    "\n",
    "```\n",
    "Input: people = [3,2,2,1], limit = 3\n",
    "Output: 3\n",
    "Explanation: 3 boats (1, 2), (2) and (3)\n",
    "```\n",
    "\n",
    "\n",
    "**Example 3:**\n",
    "\n",
    "```\n",
    "Input: people = [3,5,3,4], limit = 5\n",
    "Output: 4\n",
    "Explanation: 4 boats (3), (3), (4), (5)\n",
    "```\n",
    "\n",
    "**Note**:\n",
    "\n",
    "*   `1 <= people.length <= 50000`\n",
    "*   `1 <= people[i] <= limit <= 30000`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
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   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
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   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "people = [3,5,3,4]\n",
    "limit = 5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "people.sort(reverse=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5\n",
      "4\n",
      "3\n",
      "3\n"
     ]
    }
   ],
   "source": [
    "for p in people:\n",
    "    print(p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[2, 2, 1]\n",
      "[2, 1]\n",
      "3\n"
     ]
    }
   ],
   "source": [
    "people = [3,2,2,1] #3\n",
    "limit = 3\n",
    "people.sort(reverse=True)\n",
    "arr = people\n",
    "boats = 0\n",
    "used_index = []\n",
    "is_used = lambda e: e in used_index\n",
    "\n",
    "i = 0\n",
    "while i < len(arr):\n",
    "    e = arr[i]\n",
    "    if is_used(i):\n",
    "        i += 1\n",
    "        continue\n",
    "    if e == limit:\n",
    "        boats += 1\n",
    "        used_index.append(i)\n",
    "    if e < limit:\n",
    "        used_index.append(i)\n",
    "        target = limit - e\n",
    "        print(arr[i:])\n",
    "        for j, e in enumerate(arr[i:]):\n",
    "            if e <= target:\n",
    "                used_index.append(j+i)\n",
    "                target = target - e\n",
    "                if target == 0:\n",
    "                    break\n",
    "        boats += 1\n",
    "    i += 1\n",
    "\n",
    "print(boats)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[3, 4, 5]"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arr = [3,4,3,5]\n",
    "arr.sort()\n",
    "arr[1:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
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  {
   "cell_type": "code",
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  {
   "cell_type": "code",
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  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[3, 3, 2, 2, 2] \n",
      "\n",
      "i:  0\n",
      "boats 0, left[3, 3, 2, 2, 2], used[0], target 3\n",
      "j+i+1: 1, e 3\n",
      "\n",
      "i:  2\n",
      "boats 1, left[2, 2, 2], used[0, 1, 2], target 4\n",
      "j+i+1: 3, e 2\n",
      "j+i+1: 4, e 2\n",
      "\n",
      "2\n"
     ]
    }
   ],
   "source": [
    "people = [3,2,3,2,2] # 3\n",
    "limit = 6\n",
    "people.sort(reverse=True)\n",
    "arr = people\n",
    "print(arr, \"\\n\")\n",
    "boats = 0\n",
    "used_index = []\n",
    "is_used = lambda e: e in used_index\n",
    "\n",
    "i = 0\n",
    "while i < len(arr):\n",
    "    e = arr[i]\n",
    "    if is_used(i):\n",
    "        i += 1\n",
    "        continue\n",
    "    if e == limit:\n",
    "        boats += 1\n",
    "        used_index.append(i)\n",
    "    if e < limit:\n",
    "        print(\"i: \", i)\n",
    "        used_index.append(i)\n",
    "        target = limit - e\n",
    "        print(f\"boats {boats}, left{arr[i:]}, used{used_index}, target {target}\")\n",
    "        for j, e in enumerate(arr[i:]):\n",
    "            if e <= target:\n",
    "                print(f\"j+i+1: {j+i+1}, e {e}\")\n",
    "                used_index.append(j+i+1)\n",
    "                target = target - e\n",
    "                if target == 0:\n",
    "                    break\n",
    "        boats += 1\n",
    "        print()\n",
    "    i += 1\n",
    "\n",
    "print(boats)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[2, 1] \n",
      "\n",
      "i:  0\n",
      "boats 0, left[1], used[0], target 1\n",
      "j+i+1: 2, e 1\n",
      "\n",
      "1\n"
     ]
    }
   ],
   "source": [
    "people = [1, 2] # 1\n",
    "limit = 3\n",
    "people.sort(reverse=True)\n",
    "arr = people\n",
    "print(arr, \"\\n\")\n",
    "boats = 0\n",
    "used_index = []\n",
    "is_used = lambda e: e in used_index\n",
    "\n",
    "i = 0\n",
    "while i < len(arr):\n",
    "    e = arr[i]\n",
    "    if is_used(i):\n",
    "        i += 1\n",
    "        continue\n",
    "    if e == limit:\n",
    "        boats += 1\n",
    "        used_index.append(i)\n",
    "    if e < limit:\n",
    "        print(\"i: \", i)\n",
    "        used_index.append(i)\n",
    "        target = limit - e\n",
    "        if is_used(i):\n",
    "            i += 1\n",
    "        print(f\"boats {boats}, left{arr[i:]}, used{used_index}, target {target}\")\n",
    "        for j, e in enumerate(arr[i:]):\n",
    "            if e <= target:\n",
    "                print(f\"j+i+1: {j+i+1}, e {e}\")\n",
    "                used_index.append(j+i+1)\n",
    "                target = target - e\n",
    "                if target == 0:\n",
    "                    break\n",
    "        boats += 1\n",
    "        print()\n",
    "    i += 1\n",
    "\n",
    "print(boats)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[2, 1] \n",
      "\n",
      "i:  0\n",
      "boats 0, left[1], used[0], target 1\n",
      "j+i+1: 1, e 1\n",
      "\n",
      "1\n"
     ]
    }
   ],
   "source": [
    "#people = [3,5,3,4] # 4\n",
    "#limit = 5\n",
    "people = [1, 2] # 1\n",
    "limit = 3\n",
    "people.sort(reverse=True)\n",
    "arr = people\n",
    "print(arr, \"\\n\")\n",
    "boats = 0\n",
    "used_index = []\n",
    "is_used = lambda e: e in used_index\n",
    "\n",
    "i = 0\n",
    "while i < len(arr):\n",
    "    e = arr[i]\n",
    "    if is_used(i):\n",
    "        i += 1\n",
    "        continue\n",
    "    if e <= limit:\n",
    "        print(\"i: \", i)\n",
    "        used_index.append(i)\n",
    "        target = limit - e\n",
    "        print(f\"boats {boats}, left{arr[i+1:]}, used{used_index}, target {target}\")\n",
    "        for j, e in enumerate(arr[i+1:]):\n",
    "            if e <= target:\n",
    "                print(f\"j+i+1: {j+i+1}, e {e}\")\n",
    "                used_index.append(j+i+1)\n",
    "                target = target - e\n",
    "                if target == 0:\n",
    "                    break\n",
    "        boats += 1\n",
    "        print()\n",
    "    i += 1\n",
    "\n",
    "print(boats)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[3, 3, 2, 2, 2] \n",
      "\n",
      "i:  0\n",
      "boats 0, left[3, 2, 2, 2], used[0], target 3\n",
      "j+i+1: 1, e 3\n",
      "\n",
      "i:  2\n",
      "boats 1, left[2, 2], used[0, 1, 2], target 4\n",
      "j+i+1: 3, e 2\n",
      "\n",
      "i:  4\n",
      "boats 2, left[], used[0, 1, 2, 3, 4], target 4\n",
      "\n",
      "3\n"
     ]
    }
   ],
   "source": [
    "#people = [3,5,3,4] # 4\n",
    "#limit = 5\n",
    "people = [3,2,3,2,2] # 3\n",
    "limit = 6\n",
    "people.sort(reverse=True)\n",
    "arr = people\n",
    "print(arr, \"\\n\")\n",
    "boats = 0\n",
    "used_index = []\n",
    "is_used = lambda e: e in used_index\n",
    "\n",
    "i = 0\n",
    "while i < len(arr):\n",
    "    e = arr[i]\n",
    "    if is_used(i):\n",
    "        i += 1\n",
    "        continue\n",
    "    if e <= limit:\n",
    "        print(\"i: \", i)\n",
    "        used_index.append(i)\n",
    "        target = limit - e\n",
    "        print(f\"boats {boats}, left{arr[i+1:]}, used{used_index}, target {target}\")\n",
    "        for j, e in enumerate(arr[i+1:]):\n",
    "            if e <= target:\n",
    "                print(f\"j+i+1: {j+i+1}, e {e}\")\n",
    "                used_index.append(j+i+1)\n",
    "                target = target - e\n",
    "                break\n",
    "        boats += 1\n",
    "        print()\n",
    "    i += 1\n",
    "\n",
    "print(boats)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[7, 5, 4, 4, 2, 1] \n",
      "\n",
      "i:  0\n",
      "boats 0, left[5, 4, 4, 2, 1], used[0], target 0\n",
      "\n",
      "i:  1\n",
      "boats 1, left[4, 4, 2, 1], used[0, 1], target 2\n",
      "j+i+1: 4, e 2\n",
      "\n",
      "i:  2\n",
      "boats 2, left[4, 2, 1], used[0, 1, 4, 2], target 3\n",
      "j+i+1: 5, e 1\n",
      "\n",
      "i:  3\n",
      "boats 3, left[2, 1], used[0, 1, 4, 2, 5, 3], target 3\n",
      "\n",
      "4\n"
     ]
    }
   ],
   "source": [
    "people = [5,1,7,4,2,4] # 4\n",
    "limit = 7\n",
    "people.sort(reverse=True)\n",
    "arr = people\n",
    "print(arr, \"\\n\")\n",
    "boats = 0\n",
    "used_index = []\n",
    "is_used = lambda e: e in used_index\n",
    "\n",
    "i = 0\n",
    "while i < len(arr):\n",
    "    e = arr[i]\n",
    "    if is_used(i):\n",
    "        i += 1\n",
    "        continue\n",
    "    if e <= limit:\n",
    "        print(\"i: \", i)\n",
    "        used_index.append(i)\n",
    "        target = limit - e\n",
    "        print(f\"boats {boats}, left{arr[i+1:]}, used{used_index}, target {target}\")\n",
    "        for j, e in enumerate(arr[i+1:]):\n",
    "            if is_used(j+i+1):\n",
    "                continue\n",
    "            if e <= target:\n",
    "                print(f\"j+i+1: {j+i+1}, e {e}\")\n",
    "                used_index.append(j+i+1)\n",
    "                break\n",
    "        boats += 1\n",
    "        print()\n",
    "    i += 1\n",
    "\n",
    "print(boats)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
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  {
   "cell_type": "code",
   "execution_count": 114,
   "metadata": {},
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   "source": [
    "a = set([2,3])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 115,
   "metadata": {},
   "outputs": [],
   "source": [
    "a.add(4)"
   ]
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  {
   "cell_type": "code",
   "execution_count": 116,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{2, 3, 4}"
      ]
     },
     "execution_count": 116,
     "metadata": {},
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    }
   ],
   "source": [
    "a"
   ]
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    },
    {
     "ename": "KeyboardInterrupt",
     "evalue": "",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mKeyboardInterrupt\u001b[0m                         Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-119-816222f080dd>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m     21\u001b[0m         \u001b[0;31m#print(f\"boats {boats}, left{arr[i+1:]}, used{used_index}, target {target}\")\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     22\u001b[0m         \u001b[0;32mfor\u001b[0m \u001b[0mj\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0me\u001b[0m \u001b[0;32min\u001b[0m \u001b[0menumerate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0marr\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mi\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 23\u001b[0;31m             \u001b[0;32mif\u001b[0m \u001b[0mis_used\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mj\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0mi\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     24\u001b[0m                 \u001b[0;32mcontinue\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     25\u001b[0m             \u001b[0;32mif\u001b[0m \u001b[0me\u001b[0m \u001b[0;34m<=\u001b[0m \u001b[0mtarget\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m<ipython-input-119-816222f080dd>\u001b[0m in \u001b[0;36m<lambda>\u001b[0;34m(e)\u001b[0m\n\u001b[1;32m      6\u001b[0m \u001b[0mboats\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m \u001b[0mused_index\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m \u001b[0mis_used\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;32mlambda\u001b[0m \u001b[0me\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0me\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mused_index\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      9\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     10\u001b[0m \u001b[0mi\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mKeyboardInterrupt\u001b[0m: "
     ]
    }
   ],
   "source": [
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6,5,7,4,8,3,4,7,6,7,9,9,9,4,6,5,7,5,8,8,8,10,8,6,4,1,5,8,10,1,6,10,2,5,7,8,4,5,6,1,4,2,7,7,3,1,8,1,10,1,9,6,2,3,10,2,4,6,4,3,4,5,4,2,8,9,10,7,7,8,1,4,7,8,2,2,7,6,6,5,9,2,3,6,9,6,4,4,4,3,10,8,9,4,5,3,1,5,7,10,10,3,8,2,2,6,9,4,6,7,4,1,6,7,6,8,6,2,6,3,7,7,5,9,4,10,6,10,6,6,8,4,10,10,2,1,10,3,1,7,8,8,8,1,5,4,9,7,5,5,4,4,7,6,6,5,1,1,10,8,9,1,3,3,3,5,9,5,9,6,4,2,1,6,8,9,5,7,3,1,4,10,9,6,7,9,7,1,10,7,4,1,4,7,1,8,1,4,6,1,1,9,10,2,9,7,10,10,6,9,2,7,10,3,10,7,2,4,1,8,5,9,7,1,4,6,9,2,6,6,7,1,3,8,8,6,1,1,4,3,7,10,7,7,4,4,9,1,3,6,10,1,2,3,5,1,3,6,6,4,7,2,2,3,10,5,4,8,9,2,10,9,4,2,5,9,3,2,8,7,8,5,4,10,3,7,4,1,6,8,9,6,1,4,6,6,10,10,8,2,8,2,4,1,9,6,8,1,2,3,5,2,2,6,2,10,8,10,8,3,9,3,2,4,8,2,9,1,8,7,6,8,6,7,2,3,6,7,6,8,7,4,10,10,3,5,4,1,6,9,3,6,7,2,5,2,4,7,7,10,7,10,8,9,5,3,5,9,5,1,10,1,3,6,7,5,10,10,3,3,4,4,5,3,2,3,5,2,7,8,3,2,6,3,4,5,5,9,2,4,1,10,10,5,1,5,1,1,1,3,1,4,9,10,1,8,3,4,10,4,6,7,8,6,1,3,7,4,6,8,5,3,8,5,8,4,3,9,9,5,4,5,6,3,7,5,5,5,3,1,4,10,7,2,7,5,2,5,9,10,5,8,8,7,3,1,9,4,2,7,6,6,6,3,6,1,5,1,6,3,9,10,1,7,10,7,1,7,1,2,7,7,1,6,9,7,7,3,7,2,9,3,9,1,6,4,4,7,3,10,2,6,7,4,10,8,3,5,6,1,8,8,4,8,5,5,9,4,8,8,3,3,2,7,3,10,3,3,8,7,5,1,8,4,6,4,2,9,5,8,9,5,7,1,1,7,10,10,10,6,5,8,7,9,10,7,4,5,8,8,1,1,3,2,5,1,7,4,2,8,8,7,10,8,4,8,4,10,1,6,7,7,3,5,1,1,10,1,5,8,6,5,9,9,2,9,1,2,2,4,4,1,3,6,4,9,3,2,1,5,8,3,1,3,2,10,1,1,9,2,7,4,5,10,7,3,6,7,9,1,2,10,4,8,4,7,2,8,9,2,2,5,6,8,3,3,6,9,5,2,8,6,9,10,1,8,7,9,1,9,10,3,4,8,1,4,1,6,5,6,1,6,9,10,3,1,9,5,3,1,10,2,6,9,10,1,2,6,10,5,4,1,4,4,4,4,3,5,6,3,8,7,5,2,2,7,1,10,7,7,4,6,3,6,4,10,10,8,9,8,10,2,8,10,6,9,9,1,9,5,7,4,6,6,2,6,2,7,1,4,6,10,1,2,4,4,8,9,2,7,8,10,4,3,8,4,6,7,4,8,10,8,4,5,10,6,2,6,4,10,6,2,1,10,2,7,5,4,8,5,2,3,4,6,9,5,10,4,4,8,4,10,6,7,6,4,7,4,1,2,4,7,3,4,2,7,1,10,3,9,7,7,6,6,9,2,3,1,7,2,8,9,4,8,1,9,10,1,5,6,4,1,7,8,10,2,10,9,1,6,10,7,1,8,3,7,3,10,5,2,3,9,3,10,6,8,1,10,9,10,10,8,4,6,10,1,8,6,7,9,3,10,5,1,9,3,9,3,2,6,1,2,8,6,10,9,4,10,3,9,8,1,8,5,1,10,6,9,9,9,9,1,3,3,5,3,8,2,5,7,5,9,6,3,1,7,3,6,6,4,3,2,9,3,10,9,1,3,7,4,8,8,10,4,7,1,1,8,1,4,8,1,9,4,8,10,7,5,9,3,3,5,4,10,4,10,6,1,5,1,7,6,6,7,2,5,6,1,9,4,10,10,6,7,4,5,8,10,7,4,7,6,5,6,7,2,4,6,3,6,6,6,7,4,8,3,5,9,3,3,10,9,1,4,6,3,7,4,7,6,1,10,4,1,10,10,1,10,3,1,3,2,4,6,10,4,1,8,5,4,10,9,3,3,2,9,7,7,8,3,5,1,4,3,4,3,3,1,2,7,2,2,9,2,9,6,4,7,7,10,4,10,6,9,6,3,4,2,10,5,8,1,10,5,1,3,1,5,1,6,4,1,6,8,6,3,5,10,3,10,4,1,7,1,8,3,1,2,4,2,2,6,10,4,10,2,5,8,4,10,8,3,4,10,8,4,9,2,7,4,9,6,7,9,5,4,7,9,3,3,9,5,5,10,6,3,4,5,6,5,8,10,1,3,9,7,5,2,9,4,1,1,1,5,6,2,4,9,1,1,3,9,7,7,8,10,10,3,9,6,1,2,3,1,1,8,9,10,8,5,6,3,1,10,10,8,3,4,8,10,5,9,5,7,10,8,7,8,9,1,6,6,7,2,4,6,8,3,1,4,6,5,3,1,7,8,1,7,3,2,8,8,6,5,4,2,3,1,1,2,2,1,10,6,4,10,6,3,6,8,9,9,4,2,8,8,6,7,7,5,2,10,4,3,7,1,1,4,10,4,3,3,5,1,7,1,1,6,10,5,5,10,7,10,2,5,6,3,2,8,5,7,2,1,10,10,9,9,4,8,7,3,6,4,7,9,2,7,6,2,6,1,8,2,4,9,4,7,2,4,6,9,4,2,9,1,6,6,4,5,7,8,6,3,1,1,7,10,5,7,6,3,1,2,2,3,9,6,8,1,10,1,9,1,6,6,1,3,9,3,3,6,3,10,3,9,4,7,2,4,7,2,8,3,7,2,9,8,3,8,10,8,7,9,6,10,5,1,9,5,10,2,10,4,8,5,1,9,8,7,6,10,3,4,9,7,8,5,2,3,4,4,2,5,1,4,9,4,10,10,9,1,6,8,2,6,1,6,1,9,1,10,2,6,1,3,9,2,3,10,9,3,2,10,4,4,8,5,8,3,9,6,2,3,1,7,9,1,9,8,8,2,8,4,4,9,9,1,10,6,3,4,8,9,1,6,9,2,6,2,9,8,1,10,7,9,9,4,2,9,3,9,2,10,4,5,8,1,1,6,1,7,1,2,5,8,6,5,9,8,2,1,1,5,9,9,4,4,1,3,9,3,8,6,6,10,1,1,5,10,10,4,8,4,3,10,3,6,3,9,5,3,2,8,3,1,9,4,4,4,5,3,10,2,9,1,5,5,6,4,4,1,9,10,9,1,10,5,3,10,7,4,6,3,3,2,4,4,1,6,1,5,2,2,10,5,10,7,2,2,5,10,8,3,2,2,2,5,4,8,8,5,3,8,4,2,4,9,4,6,3,10,6,1,9,4,10,8,8,4,7,4,6,9,1,2,1,5,7,8,6,2,2,8,10,5,5,3,9,4,7,1,9,2,4,2,10,2,3,4,8,8,9,3,1,4,3,8,1,6,3,3,5,10,6,1,3,2,10,4,9,7,10,4,9,3,7,10,1,1,4,3,10,6,3,2,1,7,9,1,8,5,1,2,8,8,5,7,8,4,5,10,9,8,7,5,8,2,3,7,1,1,8,3,8,7,1,9,8,1,1,9,9,5,2,2,5,7,6,8,1,8,3,9,9,3,9,1,10,8,6,9,8,4,6,7,2,9,1,1,10,10,7,3,1,10,2,7,6,2,10,3,6,8,10,8,5,6,5,5,3,4,3,4,9,4,3,3,10,1,6,2,5,3,3,7,4,1,4,10,5,9,3,10,10,10,10,6,2,10,1,9,8,1,9,10,10,8,5,7,10,10,10,7,7,2,8,3,2,2,4,9,1,4,1,2,5,6,1,4,8,6,4,6,7,10,2,6,7,7,6,3,2,10,8,3,5,5,10,1,10,3,8,8,8,2,1,9,8,6,9,10,6,10,10,10,6,1,2,7,2,5,10,9,2,8,10,9,10,10,8,4,4,5,8,1,3,10,10,3,2,6,3,3,4,9,1,1,6,7,8,10,6,7,4,4,1,10,6,1,2,2,6,8,2,4,7,3,6,4,7,6,6,2,9,4,2,8,9,3,5,6,4,4,7,10,7,9,1,6,6,9,5,8,8,5,4,2,5,6,9,8,3,1,2,8,2,9,8,2,4,5,6,8,1,2,2,8,5,2,9,2,9,9,3,7,4,4,8,3,3,6,4,6,8,7,10,1,6,10,10,6,2,4,6,8,4,9,9,10,7,6,10,9,2,4,10,1,3,6,7,6,4,9,2,3,1,10,8,3,4,6,3,9,7,2,4,2,3,1,10,5,9,9,2,9,1,10,8,10,7,3,2,8,8,6,2,3,5,3,9,9,4,7,3,7,8,2,3,1,10,10,5,7,8,1,10,3,1,3,10,10,5,4,7,8,3,10,4,2,3,9,10,7,2,3,9,8,10,6,2,2,5,6,10,7,10,10,4,4,6,7,3,5,9,3,10,1,3,9,9,2,9,7,10,10,7,10,1,1,1,9,6,2,3,1,5,3,6,3,8,6,6,6,5,3,1,5,2,1,2,10,2,6,7,3,3,8,4,10,7,1,1,7,5,1,10,10,10,8,3,1,5,1,7,5,9,10,2,5,1,7,6,10,2,9,5,4,8,5,7,10,10,5,2,4,6,3,1,2,3,10,10,10,7,5,9,7,6,4,10,10,10,8,10,6,5,8,1,5,8,6,1,6,9,2,3,4,7,8,6,1,1,8,2,4,6,2,7,6,5,1,5,5,9,1,8,3,2,2,2,1,5,3,4,7,8,6,3,1,9,10,3,6,1,1,2,8,8,4,10,2,8,4,8,1,3,6,1,4,3,2,9,2,10,9,2,9,1,2,3,3,9,2,1,4,7,10,7,8,4,7,4,8,4,1,9,4,2,10,1,4,2,7,2,7,3,3,3,1,7,8,1,7,4,10,1,5,6,7,10,4,5,5,8,3,1,1,8,10,9,9,4,7,4,3,5,3,6,4,7,7,6,3,8,4,7,9,9,3,1,4,8,1,1,4,5,7,10,1,6,3,2,3,2,8,10,3,2,5,1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8,5,2,2,10,6,1,3,1,4,9,8,4,6,4,4,3,6,8,8,2,7,2,5,9,8,2,5,9,6,4,4,5,2,8,9,6,2,9,4,10,10,4,7,9,9,2,6,8,9,1,4,7,7,2,2,10,9,3,8,5,2,10,5,2,4,10,1,6,7,6,2,10,8,2,5,8,7,3,3,3,10,9,4,10,9,3,8,4,6,6,8,5,3,8,4,2,3,1,1,9,1,1,2,9,9,2,3,10,6,4,6,7,4,7,9,10,2,10,9,9,5,9,4,8,1,8,6,3,8,5,2,6,3,7,5,10,6,3,6,9,5,5,2,9,8,8,6,7,10,6,10,7,7,2,9,5,8,5,7,3,2,4,6,4,4,4,4,4,1,3,9,5,6,2,1,10,5,3,10,5,4,6,2,6,10,4,4,3,4,10,8,9,4,7,8,5,8,1,7,10,3,5,8,6,7,10,9,3,1,8,1,5,4,10,5,3,7,9,1,1,10,8,2,4,4,10,8,6,4,3,7,4,8,7,10,1,2,10,4,8,4,7,3,1,9,6,8,4,8,1,10,10,8,1,1,2,4,7,5,5,1,8,7,5,6,6,8,8,7,4,1,6,4,1,5,2,6,5,9,10,5,10,10,6,4,6,10,3,4,1,9,5,2,9,5,10,3,2,10,6,8,4,3,10,6,2,7,8,6,4,5,2,8,9,7,1,1,9,10,8,2,8,3,6,6,4,4,1,8,5,4,7,10,4,9,3,3,10,9,5,6,3,8,6,4,10,1,9,8,1,2,10,10,9,10,4,9,10,7,5,10,8,3,9,10,8,3,8,5,2,2,10,6,4,7,10,3,10,4,10,7,10,5,7,8,1,10,8,2,7,8,1,1,5,4,3,7,5,3,2,5,4,2,4,6,10,7,2,3,4,7,10,7,2,8,5,8,1,4,10,7,4,3,5,9,8,3,6,8,1,7,1,10,7,9,6,9,8,6,9,7,3,2,7,9,2,10,9,10,5,3,2,4,9,6,3,9,3,9,2,3,2,3,5,4,7,2,1,1,8,10,2,7,2,10,4,1,10,6,6,4,8,8,10,7,2,4,2,9,7,7,9,6,1,5,6,3,5,3,8,3,5,2,6,8,4,9,4,3,3,5,6,1,1,7,2,4,8,4,4,8,6,6,10,10,4,8,8,2,1,7,10,8,9,9,7,9,9,5,2,10,7,2,10,6,9,6,8,8,10,4,6,1,10,7,6,9,1,3,10,10,3,9,3,4,8,7,7,2,3,4,5,3,4,10,7,10,8,10,8,7,3,4,9,1,10,9,3,9,1,5,9,9,1,5,9,5,4,10,2,3,7,6,4,2,6,8,1,2,5,7,4,8,2,2,4,5,10,7,8,8,6,5,5,2,7,7,9,7,1,2,4,4,2,9,8,10,9,10,4,9,5,9,9,2,5,6,6,8,6,7,8,4,4,1,8,6,8,5,5,7,9,4,8,7,2,8,9,7,2,9,6,8,6,10,2,10,9,6,10,1,1,1,1,4,4,1,7,3,10,3,7,6,10,5,10,9,3,1,7,3,2,8,1,1,4,9,6,2,5,5,4,3,10,3,10,10,8,9,10,6,10,4,4,4,6,1,8,6,2,2,8,4,7,8,5,9,4,6,8,1,7,10,1,1,1,2,2,9,9,3,5,8,1,5,7,3,7,9,3,4,6,9,3,10,6,10,5,6,7,8,6,6,10,6,10,4,8,6,5,1,9,5,9,9,3,7,9,7,9,5,2,1,9,2,7,4,6,5,3,3,2,6,3,8,9,4,8,8,9,8,9,2,10,3,8,8,5,10,1,4,3,1,6,2,3,6,8,2,2,9,1,6,7,1,5,9,8,8,7,8,6,3,10,8,8,1,3,7,7,5,6,2,10,4,6,1,4,6,2,8,8,10,6,2,4,8,5,5,7,5,4,6,6,3,10,1,10,9,5,7,1,6,2,8,6,5,4,9,8,8,7,6,6,3,2,5,8,7,3,6,1,8,3,5,6,8,1,2,7,3,9,8,10,9,5,10,4,8,8,3,10,2,8,3,2,7,9,6,5,9,10,8,6,6,2,4,4,10,6,3,8,7,3,2,6,1,4,4,3,8,3,5,1,1,8,1,5,10,10,10,2,7,7,6,1,6,5,10,7,10,7,6,9,8,10,6,7,9,9,4,9,2,1,1,10,10,7,8,6,5,8,4,1,8,8,7,3,10,9,8,1,10,6,7,9,6,1,3,4,8,2,2,6,9,6,2,8,4,7,6,4,3,8,5,7,3,10,10,8,6,3,3,10,10,7,9,4,6,5,8,10,6,7,8,6,4,8,8,2,5,8,8,10,1,8,2,1,3,8,10,5,1,1,10,9,6,2,10,3,6,8,8,1,6,3,6,5,1,10,8,7,10,6,2,10,1,1,7,4,6,4,4,8,7,10,4,5,10,10,2,8,8,3,8,10,3,8,10,3,6,10,6,7,7,5,8,3,2,8,6,4,4,5,4,10,6,8,3,2,4,8,8,7,3,8,1,3,3,1,7,6,4,9,10,3,6,10,3,1,7,9,2,7,8,3,3,7,4,1,2,2,8,6,2,3,6,2,5,7,7,6,3,9,3,9,3,8,3,9,9,8,7,8,1,4,8,6,6,2,1,8,7,1,2,6,7,9,2,10,10,1,4,9,1,8,6,9,9,7,9,6,1,6,7,9,2,7,1,9,3,6,8,8,2,8,2,10,6,5,4,3,2,2,9,6,6,2,9,10,7,2,7,10,7,7,6,4,10,10,1,5,3,8,2,6,7,6,4,6,7,9,4,6,4,2,6,3,4,5,10,10,10,3,5,1,2,10,5,4,6,8,10,8,2,5,8,1,1,9,4,9,1,10,7,3,10,4,5,4,7,8,7,4,1,1,9,1,4,8,3,1,3,1,3,3,5,3,3,10,7,3,6,7,9,1,7,3,3,8,2,10,8,3,3,8,6,2,2,9,4,8,5,10,3,7,6,2,10,2,10,10,1,8,6,3,8,6,4,7,10,8,5,6,7,8,9,3,8,5,8,9,1,1,5,1,4,4,3,1,1,5,4,1,6,9,5,10,8,6,9,6,4,7,6,6,3,8,8,4,4,9,2,4,4,6,2,10,4,7,9,9,1,8,9,4,3,10,3,10,6,4,5,7,4,1,10,4,4,5,4,8,5,6,7,2,8,9,2,5,8,10,7,9,8,4,3,3,8,5,1,8,1,6,6,7,2,2,3,1,8,8,5,2,3,4,9,4,1,7,2,1,8,1,8,9,4,1,3,9,5,4,2,6,3,6,3,1,7,4,9,10,7,3,9,5,5,5,10,5,1,9,4,3,5,6,1,2,4,9,4,8,4,4,4,7,9,10,5,8,10,10,3,5,8,5,7,4,9,8,2,7,3,4,8,1,6,4,10,5,9,3,5,6,2,10,8,1,6,7,8,3,10,7,4,5,8,8,4,2,1,8,8,7,10,4,6,8,3,10,2,7,10,3,5,8,8,1,4,6,6,8,7,8,7,3,1,6,7,8,5,2,6,8,5,10,2,3,1,9,5,3,9,9,7,10,5,6,5,10,8,6,1,9,6,4,8,6,5,8,1,7,6,8,10,9,1,5,4,4,10,8,6,1,2,5,9,9,5,2,5,8,1,5,8,7,10,5,8,8,2,4,6,6,1,7,6,10,4,4,6,5,2,5,2,6,6,8,5,10,2,8,6,3,1,2,1,5,7,5,7,8,7,1,8,9,2,2,7,2,1,10,7,3,7,4,4,2,10,5,8,10,7,8,7,1,4,9,4,3,4,1,5,9,7,6,5,7,4,9,7,6,3,8,10,4,3,8,2,2,10,2,1,10,10,4,8,6,3,6,5,1,4,10,3,3,1,9,6,8,7,2,6,1,2,9,10,6,5,5,9,2,10,5,5,3,1,7,8,2,4,3,2,8,7,1,2,4,7,7,7,9,9,10,7,9,5,4,5,1,2,5,1,3,7,9,7,3,5,8,2,10,3,9,10,6,8,2,6,5,8,7,8,4,4,4,8,3,10,8,8,2,6,6,4,7,9,7,2,9,10,9,9,8,8,10,4,6,6,4,3,4,4,1,10,5,1,6,9,10,1,6,9,2,10,8,5,4,3,8,3,8,2,6,8,1,4,6,3,3,4,7,10,4,7,3,10,5,4,1,1,1,4,3,3,1,4,10,1,2,2,6,7,10,3,8,3,3,1,9,3,6,1,6,10,3,7,2,4,4,3,5,5,1,6,2,6,8,4,9,10,1,5,9,3,1,5,10,2,9,6,6,2,9,8,9,6,10,7,2,4,9,8,6,4,2,10,3,10,5,8,2,2,7,5,7,7,4,6,1,9,2,2,2,1,9,8,3,4,7,7,2,9,9,7,1,1,1,7,7,3,5,3,3,7,7,2,2,9,10,4,1,4,2,4,5,10,1,1,3,5,10,3,9,4,10,6,6,7,2,7,3,4,4,4,6,3,1,2,1,7,4,6,4,7,10,8,3,4,2,10,4,6,1,7,8,5,6,2,9,4,8,1,1,1,6,10,8,3,2,3,1,7,2,7,2,10,2,7,7,7,4,7,2,5,7,9,8,8,9,1,8,5,9,3,5,2,5,10,3,2,5,8,2,9,1,5,1,2,7,10,1,7,2,5,9,2,6,9,6,4,5,6,3,9,7,3,8,10,4,5,6,7,7,2,1,3,2,5,2,10,4,7,6,6,7,1,6,10,10,3,2,6,5,7,2,8,7,6,6,7,9,7,8,10,1,2,4,3,9,4,7,7,1,8,7,7,8,1,8,6,10,9,4,1,9,9,5,2,1,4,4,8,4,4,8,5,10,3,8,3,2,1,4,2,10,10,6,5,6,4,6,6,9,2,9,5,9,3,7,2,8,2,5,3,10,6,2,5,1,3,2,9,9,6,7,2,1,3,5,7,3,2,7,4,7,9,3,4,8,3,3,2,9,6,8,9,3,3,4,7,4,10,4,1,10,4,7,1,3,5,8,4,9,10,9,6,6,4,2,1,4,8,6,5,10,4,6,3,4,3,8,7,5,3,3,10,4,6,6,6,4,5,4,2,8,1,8,4,3,1,10,3,4,1,10,4,1,1,4,5,5,2,7,1,4,2,5,4,5,4,8,4,2,4,6,3,5,8,5,3,2,5,7,4,1,5,9,7,8,6,1,7,5,1,7,7,6,1,8,8,4,7,10,8,6,3,10,10,8,10,1,1,4,1,1,9,9,5,6,2,10,3,8,3,5,5,6,8,10,2,7,7,6,4,7,4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8,6,4,10,10,10,9,8,6,7,3,6,10,8,2,7,10,3,7,2,6,3,8,7,6,10,9,10,6,7,5,5,3,10,3,8,6,1,1,4,4,8,1,4,2,6,8,2,2,2,2,9,1,5,7,2,6,7,4,8,10,3,9,7,6,4,9,4,2,8,2,9,5,4,4,8,6,4,5,5,4,4,10,4,3,3,2,3,6,3,6,3,8,6,3,5,3,6,2,1,5,7,1,7,5,9,7,7,2,4,9,4,2,5,5,4,9,3,4,2,6,9,9,4,8,7,6,1,7,1,6,9,4,1,8,10,3,8,2,1,4,2,7,6,3,8,5,5,5,5,5,10,10,9,9,10,9,7,5,10,7,6,10,9,4,8,2,1,9,4,8,2,3,7,6,9,7,10,7,9,2,2,4,2,3,10,8,1,1,1,10,7,2,9,7,3,1,7,9,9,3,2,6,10,9,1,9,10,10,3,8,2,3,2,5,6,2,4,4,9,10,5,6,7,6,5,9,5,7,8,6,5,8,7,9,10,3,8,8,1,10,2,10,2,4,8,3,4,10,5,4,9,10,1,9,2,4,2,6,6,4,7,10,6,10,4,8,6,2,1,9,6,4,10,6,10,1,7,2,9,3,3,2,5,10,6,4,1,1,7,10,7,7,8,3,5,6,2,4,6,1,7,3,9,1,2,1,1,5,7,5,9,2,10,7,7,7,10,9,7,3,8,10,1,2,10,10,1,9,3,1,6,7,10,8,8,1,2,6,8,7,2,6,5,8,2,6,10,8,10,8,4,5,7,6,6,1,1,5,4,10,2,1,3,9,8,6,10,5,8,5,6,3,4,3,8,5,9,3,9,1,1,9,5,3,2,2,2,4,8,2,7,2,3,10,10,1,3,1,10,2,7,6,5,4,5,2,3,3,7,3,3,8,9,8,4,4,6,2,4,7,5,7,4,2,7,7,6,6,2,10,1,9,6,8,10,2,1,7,10,6,1,8,3,5,3,3,7,9,10,3,9,7,9,3,6,4,2,5,6,10,6,6,6,8,8,10,8,9,6,3,9,7,3,5,10,9,4,2,6,1,5,3,1,6,8,7,7,5,1,2,5,3,2,6,8,9,8,3,6,6,2,1,1,5,10,8,2,7,6,7,2,6,10,4,9,2,9,8,6,9,7,7,7,5,10,7,3,6,7,1,2,2,5,3,5,2,5,8,1,2,4,1,5,7,8,7,3,6,5,1,6,9,4,4,9,3,10,7,10,6,6,1,2,10,5,3,2,9,8,8,6,9,8,8,7,9,10,6,1,9,9,4,10,4,7,10,1,1,2,6,10,7,6,9,10,5,3,7,3,2,10,6,4,4,2,2,1,3,4,10,3,5,3,10,1,4,6,9,5,6,1,3,9,1,5,3,6,4,7,1,5,9,3,3,6,9,1,3,8,8,1,4,2,5,10,8,2,4,5,1,6,7,10,7,8,7,2,7,1,10,6,7,6,1,8,8,1,10,6,4,3,9,8,8,1,6,1,7,1,10,9,2,9,9,10,2,7,6,1,5,3,5,4,4,10,10,3,3,9,8,7,6,5,6,3,10,5,8,5,3,3,5,6,10,3,7,5,4,7,10,4,8,8,4,4,1,6,2,4,2,10,2,9,3,6,2,7,2,5,3,1,9,3,7,10,6,10,7,1,6,1,6,7,10,5,10,3,6,8,1,3,9,3,4,3,4,6,7,2,2,8,4,9,7,9,9,10,2,4,1,6,8,3,3,5,5,5,5,2,10,7,1,4,10,1,8,9,5,4,2,1,1,2,8,9,3,5,10,4,7,3,4,9,2,3,10,8,1,2,3,5,10,4,1,1,4,10,5,10,7,6,4,2,9,7,3,4,2,9,7,9,9,5,6,3,10,2,10,1,9,5,3,7,2,9,5,8,8,6,10,4,8,3,10,10,1,1,2,9,3,1,5,2,10,6,2,9,2,6,6,10,2,3,3,9,6,9,4,9,5,10,10,2,3,10,2,3,4,5,6,5,2,1,5,4,8,9,6,10,3,8,5,1,3,2,6,10,6,5,6,8,5,8,9,5,1,1,1,10,1,7,9,4,5,5,5,10,5,10,4,4,2,8,4,4,1,1,1,1,4,9,1,8,3,8,6,3,2,1,6,4,2,10,8,5,9,8,8,1,9,10,9,5,10,5,10,1,4,9,2,10,6,10,2,10,3,7,4,2,1,7,10,5,8,1,5,5,8,1,7,1,6,1,7,7,5,1,10,9,4,2,8,10,1,2,4,4,5,7,3,9,3,10,2,6,8,9,5,7,2,8,4,2,5,8,6,3,6,2,4,9,8,1,7,9,4,8,10,9,2,7,4,8,6,8,7,2,8,2,3,2,10,8,4,2,2,9,9,4,2,9,5,4,9,2,8,1,10,1,6,6,6,3,8,5,7,10,10,6,10,9,8,2,5,4,5,6,10,3,1,6,2,1,2,3,3,4,10,5,7,5,3,10,9,9,6,3,1,7,9,9,4,10,1,4,4,10,8,5,6,1,5,5,9,8,4,6,4,9,1,10,7,7,3,6,8,4,7,10,10,8,9,10,1,10,7,8,7,8,10,9,5,4,7,2,2,1,5,9,6,3,10,7,6,4,5,3,6,7,4,8,1,5,6,7,1,3,6,1,10,4,9,1,7,7,10,7,2,8,4,1,6,7,3,9,8,2,3,6,4,7,2,6,7,3,1,5,8,3,10,9,3,9,7,5,4,8,7,10,2,3,10,4,1,7,10,1,3,6,5,3,1,10,1,7,3,7,6,9,4,10,1,1,9,3,8,10,7,8,3,1,8,10,5,10,7,6,8,9,4,6,2,4,8,3,9,10,3,1,6,7,4,4,3,5,5,3,7,6,1,5,8,9,9,8,9,1,8,9,3,6,7,2,4,7,4,3,8,2,9,2,2,4,4,9,2,4,7,4,7,10,7,5,10,8,1,7,4,1,4,9,3,3,9,8,2,8,3,10,1,9,7,6,5,5,2,9,4,10,6,5,6,4,5,6,5,1,3,8,10,9,5,2,7,6,10,1,8,4,10,8,4,10,3,4,5,7,5,3,9,4,2,3,2,4,6,8,9,6,2,8,8,4,6,10,6,4,3,2,2,5,5,10,10,1,6,10,1,1,2,2,6,2,9,4,1,9,7,10,6,9,7,6,3,5,3,3,6,9,7,2,6,10,5,2,4,4,2,8,8,3,7,7,10,1,6,1,7,7,4,8,9,9,9,10,5,5,8,7,6,9,8,2,8,10,5,1,2,6,10,1,7,7,6,10,8,10,10,2,5,5,1,8,7,10,7,8,10,6,4,1,1,2,6,6,1,8,4,1,4,2,3,3,10,5,1,6,10,5,7,3,9,7,4,7,6,4,1,6,2,2,7,5,9,3,2,4,7,4,4,8,8,8,6,10,7,3,7,2,4,8,9,10,6,8,7,10,3,5,7,6,8,5,10,5,6,9,10,1,8,2,3,8,10,1,10,10,5,8,10,5,6,4,6,3,1,10,7,8,3,3,6,1,6,10,9,4,6,5,3,3,7,3,5,6,2,10,1,9,9,10,6,9,9,4,4,6,1,6,7,4,3,9,3,7,2,1,6,6,1,10,9,9,10,6,4,3,7,7,9,5,2,10,5,6,9,1,3,4,1,3,3,9,4,8,10,5,1,7,4,10,3,8,5,8,9,6,6,4,1,7,8,1,3,3,1,8,9,6,6,2,10,7,9,9,6,6,4,9,7,10,9,10,8,1,9,5,5,9,2,4,1,3,9,9,9,1,3,9,5,4,9,1,10,2,4,8,8,8,8,5,6,9,5,1,9,10,3,8,9,9,10,2,3,9,1,7,10,3,7,6,1,9,9,2,7,7,6,1,7,4,7,5,4,6,9,9,7,10,7,2,8,4,8,1,6,8,10,10,1,1,6,5,8,2,3,10,3,7,10,4,3,2,10,4,6,4,7,10,8,1,2,3,1,2,6,2,10,2,1,8,9,4,8,2,3,2,9,10,4,2,4,1,5,7,5,8,9,9,3,8,8,9,9,8,9,3,9,10,1,6,3,2,7,4,4,4,10,1,10,1,9,9,5,3,5,4,1,9,6,3,3,8,6,1,7,6,10,3,6,6,6,1,7,7,4,6,2,9,8,3,10,6,10,6,5,8,9,1,3,8,3,7,6,2,9,3,3,3,2,9,4,7,2,4,3,10,10,6,10,7,1,3,9,3,3,5,3,2,4,5,4,10,7,6,3,6,7,10,1,7,5,8,5,4,1,7,3,6,5,1,2,4,10,4,5,10,7,9,5,9,2,8,9,9,2,7,10,5,4,3,10,3,7,6,6,5,6,1,5,5,7,10,3,2,4,6,6,1,5,2,10,5,3,9,5,5,5,8,10,4,2,7,8,7,4,5,8,6,1,3,3,10,1,7,6,9,3,6,2,2,9,4,3,1,4,2,10,4,4,8,2,8,2,10,1,4,7,6,8,1,2,1,6,10,8,3,10,8,6,6,9,3,5,4,9,9,8,8,9,9,5,4,7,8,7,7,2,8,6,8,9,10,1,2,5,1,2,9,9,4,1,1,7,8,1,6,1,5,6,2,8,9,10,4,1,2,3,6,8,4,5,8,4,10,7,7,2,3,4,7,4,1,1,1,1,2,6,10,1,1,2,1,1,8,2,9,1,9,4,1,7,2,7,5,1,4,7,5,9,10,2,7,9,8,2,7,8,1,4,8,7,7,3,8,8,6,4,6,9,4,4,10,4,7,9,3,3,1,5,2,2,9,5,5,3,3,1,10,2,2,8,9,7,10,2,3,7,10,9,1,5,3,7,8,7,10,10,8,4,4,5,9,2,1,8,1,4,2,5,8,6,4,5,10,8,4,1,3,3,8,5,1,1,10,7,7,9,3,9,10,8,7,1,7,3,8,5,5,1,3,7,6,1,6,1,9,8,10,10,9,5,3,2,2,1,8,4,8,6,6,6,3,3,3,10,4,3,7,1,5,6,7,3,8,8,8,1,2,7,1,2,1,7,1,10,8,6,3,2,1,5,7,5,9,1,9,5,9,1,6,5,4,7,7,9,7,8,7,7,2,7,5,4,8,6,9,6,9,7,2,6,3,7,7,10,6,3,4,5,5,7,1,2,3,6,6,3,5,8,7,9,6,9,7,10,5,1,6,9,9,4,1,7,7,8,6,8,3,6,6,2,5,6,1,4,4,4,8,2,2,2,1,10,4,1,9,10,7,9,6,8,6,6,8,2,7,2,7,7,1,6,1,3,9,6,2,6,7,9,9,1,6,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8,7,6,3,3,2,9,6,6,1,7,5,6,6,5,7,9,7,2,3,9,8,10,4,6,3,8,2,7,10,2,7,9,6,4,1,5,9,8,10,5,2,5,5,2,8,4,4,8,5,1,4,2,8,1,2,4,1,9,7,4,4,4,4,9,3,6,1,2,6,10,3,8,1,10,2,6,4,5,2,6,3,4,1,5,1,10,7,1,8,4,10,5,9,5,6,3,5,1,3,3,10,6,9,5,7,8,4,5,2,7,10,4,6,7,4,3,3,5,6,2,5,4,2,1,3,3,9,2,1,6,7,1,7,2,6,9,6,8,9,3,3,2,3,10,4,8,2,9,9,3,2,6,2,10,1,7,3,1,7,4,10,9,4,1,1,1,9,3,1,4,8,6,4,10,4,1,9,2,5,9,2,1,2,2,2,10,1,10,9,4,1,9,10,6,7,6,1,8,5,3,8,4,1,2,1,8,7,5,1,4,5,4,5,8,2,4,5,9,2,10,8,4,8,4,1,10,5,9,9,5,10,3,9,2,10,10,7,8,5,3,7,3,4,9,4,4,9,8,9,5,1,9,8,8,9,4,6,6,6,1,2,3,7,5,1,3,7,2,8,4,10,9,7,5,8,1,5,4,6,7,7,1,3,4,10,2,3,2,2,7,1,3,2,7,6,5,6,7,2,5,9,2,7,8,9,2,8,8,4,9,7,8,4,5,7,6,3,7,6,4,7,4,4,8,5,4,7,8,2,3,2,9,3,5,5,9,2,10,5,4,3,4,4,2,8,5,3,10,10,4,4,1,7,6,6,4,5,2,10,8,1,7,7,10,4,8,7,9,8,4,7,10,1,10,5,6,8,10,1,10,8,10,1,10,7,7,8,3,3,5,1,4,3,9,9,8,6,4,6,7,6,1,9,9,5,4,1,8,7,4,6,9,8,4,1,5,5,8,3,4,1,10,3,4,8,8,9,9,5,1,7,10,9,7,1,4,1,1,4,7,6,10,3,3,5,3,2,5,8,6,2,1,9,4,1,6,4,10,4,4,5,6,6,1,7,1,10,3,5,4,8,1,6,7,7,8,1,10,4,10,6,10,3,1,3,6,3,6,4,8,9,3,10,9,3,6,1,10,6,4,4,2,3,3,8,10,3,3,2,6,4,2,2,8,8,5,3,9,7,9,3,8,6,2,8,2,2,10,4,4,6,6,5,6,9,3,10,4,9,5,3,4,9,4,3,3,2,1,9,10,6,7,1,6,3,7,1,5,6,7,9,7,1,5,5,9,10,8,4,4,9,5,4,4,5,7,4,10,2,8,4,2,9,10,5,3,9,7,4,6,7,5,7,2,6,1,10,1,5,9,7,1,8,8,2,9,10,2,6,1,5,2,10,3,7,6,7,6,8,10,7,5,6,7,8,2,5,9,10,5,6,2,6,6,4,5,7,8,2,6,2,10,7,9,4,5,10,10,1,7,3,2,5,6,3,8,5,6,5,5,5,3,6,7,8,3,5,5,5,6,9,2,1,4,7,4,10,7,9,1,4,9,5,9,3,6,1,5,6,9,4,2,1,6,5,5,8,10,6,4,4,6,10,9,2,6,8,6,3,10,7,9,5,6,8,1,1,8,5,4,2,7,6,1,5,10,3,3,7,10,4,4,7,4,1,9,3,10,2,9,10,9,3,4,5,5,3,1,8,4,2,4,8,5,10,3,2,2,3,4,8,6,1,10,4,10,10,3,9,5,6,5,5,5,1,4,4,10,9,5,4,5,4,9,7,5,3,9,9,8,8,7,9,6,8,2,6,1,7,9,6,6,9,8,8,8,9,2,6,2,5,1,2,10,5,8,9,5,5,2,4,7,6,5,10,8,2,4,9,1,10,7,5,4,1,3,8,7,10,6,1,10,10,6,1,7,10,5,5,9,1,2,8,10,6,9,1,2,10,6,6,1,8,5,5,3,2,10,10,1,1,3,6,6,3,3,2,3,10,10,5,9,5,9,1,8,1,10,2,1,7,7,9,5,6,8,8,7,5,2,3,10,10,4,8,1,8,3,9,3,9,8,4,10,8,5,1,5,4,1,4,8,1,7,4,1,1,6,5,7,1,3,9,9,7,9,6,3,2,4,3,2,9,3,5,3,10,6,10,6,8,7,2,9,9,6,9,1,7,2,10,6,3,4,7,4,1,6,5,9,10,9,4,6,4,8,4,1,10,10,6,8,6,2,5,1,3,3,9,2,2,3,1,3,6,4,7,3,10,1,7,6,2,10,6,8,4,4,1,10,6,10,2,1,1,1,5,5,6,7,7,5,10,1,2,5,5,6,1,6,1,4,5,10,9,5,9,5,6,5,6,8,3,2,1,2,10,2,2,10,5,6,1,2,1,6,8,6,1,5,2,1,2,6,2,9,5,4,2,6,4,4,8,6,1,5,2,5,7,7,5,8,1,6,1,9,8,8,3,3,2,8,8,4,6,6,3,2,4,4,1,7,3,5,4,3,3,1,1,6,5,4,5,2,4,3,9,1,10,7,2,10,3,5,6,4,2,6,7,4,2,6,8,9,8,1,7,6,5,6,2,7,3,5,3,3,9,3,8,9,10,3,4,9,4,5,1,5,1,10,5,3,3,2,1,1,3,2,10,9,9,6,7,2,7,4,8,7,9,6,5,3,4,1,1,3,6,3,1,2,9,5,1,5,10,4,4,9,2,3,3,5,1,1,10,3,5,9,10,3,4,3,3,9,4,6,8,4,2,3,7,3,1,9,10,4,7,5,9,4,5,3,3,9,5,8,7,3,6,1,4,7,6,1,10,7,7,3,4,7,2,7,3,7,1,2,6,8,3,3,5,7,6,3,5,1,10,8,8,5,9,10,8,7,7,1,5,5,1,3,1,7,3,2,9,1,1,9,10,4,3,4,5,4,6,10,1,3,1,8,9,6,8,4,7,9,8,1,10,1,2,9,3,3,4,5,6,10,2,10,6,1,2,4,1,3,1,4,8,2,9,9,10,4,5,2,2,8,2,9,7,8,6,1,6,2,8,2,1,3,4,2,9,5,6,3,4,7,10,7,9,3,9,7,3,2,2,7,5,6,8,9,10,8,10,7,6,2,3,3,8,7,7,8,9,10,2,7,4,8,10,6,3,7,8,4,5,9,10,2,2,10,4,9,4,7,1,5,4,3,3,4,1,4,8,1,3,6,10,2,9,5,10,10,5,5,10,1,5,9,6,4,8,1,2,8,10,10,4,8,8,5,4,2,10,9,9,5,10,10,4,5,6,3,5,10,3,1,2,7,5,1,9,1,9,7,7,7,2,8,5,9,7,5,2,8,6,4,9,8,8,3,1,2,4,8,4,5,7,3,1,3,2,8,7,5,8,1,3,6,7,7,4,8,7,7,4,5,5,3,7,7,3,7,4,6,10,8,5,3,1,4,1,4,6,6,6,2,6,10,10,4,9,3,6,6,8,2,1,1,6,1,9,8,2,9,4,2,8,2,6,10,1,2,2,8,10,4,2,4,1,3,1,5,4,9,4,10,6,8,2,3,7,9,8,8,5,5,7,9,3,2,4,7,9,3,3,5,8,4,5,5,7,1,2,3,3,4,7,7,10,2,5,8,3,10,4,8,7,7,4,8,7,9,5,2,3,3,6,6,1,4,1,5,10,10,7,2,9,10,8,6,3,2,2,3,10,9,6,8,10,6,7,1,7,6,3,9,5,8,4,3,6,7,9,6,8,6,6,10,1,6,2,8,10,3,4,7,9,6,10,4,2,3,8,7,8,10,4,2,9,2,8,1,6,1,1,7,10,5,2,3,2,1,3,6,10,4,8,2,6,2,2,10,1,5,1,8,2,4,8,9,8,6,3,6,8,7,7,7,7,9,10,7,4,5,5,5,8,9,1,6,3,6,4,7,5,10,6,4,8,7,2,9,7,1,9,1,9,10,8,1,3,10,9,10,2,6,7,1,5,2,7,8,4,10,5,9,5,1,4,9,10,6,2,9,5,4,10,5,5,7,5,5,9,10,5,9,2,8,6,10,2,6,5,6,4,3,7,2,9,7,2,1,2,3,1,2,2,7,4,1,9,6,5,9,10,7,2,9,1,8,7,3,2,9,1,4,4,7,7,8,4,4,9,1,1,4,6,9,10,7,2,5,5,4,4,7,4,6,9,5,6,1,4,9,1,7,3,6,2,2,1,10,5,7,7,1,2,2,10,1,9,8,4,8,3,9,6,3,6,3,10,2,10,1,8,2,1,9,7,9,6,3,7,9,9,4,8,6,5,6,3,10,6,5,9,1,3,9,4,4,7,7,6,8,7,9,3,1,6,7,10,9,6,4,4,8,8,8,1,1,10,5,5,1,1,2,7,6,3,8,5,8,4,7,5,3,7,9,8,8,5,4,10,4,4,2,7,3,5,9,6,10,5,8,2,7,2,10,2,6,1,10,7,2,7,5,4,1,2,1,2,1,2,3,5,10,10,3,7,2,2,1,5,3,10,4,8,8,8,10,5,2,3,9,5,9,4,9,2,1,3,5,9,3,10,7,7,5,2,9,9,8,9,9,9,4,3,5,3,1,7,8,3,4,10,10,9,6,9,4,3,5,7,3,3,4,6,10,1,9,9,3,9,4,4,10,6,4,5,5,1,7,8,4,2,9,7,4,3,8,3,10,6,10,9,1,1,6,5,4,1,10,1,9,5,7,3,2,1,10,1,9,9,1,6,4,1,8,4,6,2,8,3,6,2,1,2,4,5,5,1,1,4,1,2,6,2,1,1,4,5,4,1,1,3,9,5,8,8,8,8,2,1,9,7,5,1,6,5,6,1,8,2,3,10,9,2,1,10,8,1,5,4,2,3,7,5,3,1,3,8,1,2,5,6,6,10,9,7,10,2,5,8,4,9,1,4,2,10,9,10,9,7,7,9,1,6,6,4,8,4,6,2,6,10,3,7,6,8,3,2,3,7,2,2,4,4,3,7,10,9,2,8,3,8,4,7,3,9,6,10,5,8,5,2,8,8,7,6,10,1,3,3,1,7,1,6,7,4,3,5,9,3,4,10,4,7,5,9,1,9,9,7,7,5,10,5,1,9,4,1,9,8,7,4,7,7,1,1,3,5,4,4,9,9,1,2,8,8,2,7,5,9,4,1,8,9,9,3,4,9,4,8,1,1,1,8,10,7,3,3,9,5,5,6,9,1,3,7,10,4,7,7,3,4,2,6,6,5,2,1,8,9,10,10,3,2,7,8,6,1,1,7,1,10,1,5,10,3,7,9,2,6,4,5,10,4,9,4,6,8,5,7,3,10,3,1,3,3,4,2,3,3,9,8,10,1,3,3,2,7,6,4,8,1,3,10,5,6,5,3,9,4,6,7,6,10,2,3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10,2,8,9,5,5,5,2,7,3,10,5,8,1,10,5,8,10,2,1,8,9,4,7,1,2,1,2,2,6,2,7,10,5,4,1,5,3,7,4,5,1,2,10,10,4,1,8,8,4,6,9,5,7,5,3,10,5,1,6,6,1,10,6,7,10,5,1,3,4,6,1,8,3,1,7,9,6,10,8,4,4,2,5,10,5,3,3,6,7,1,4,4,6,5,3,3,5,8,2,7,4,2,4,3,2,4,7,6,2,1,8,7,3,6,10,3,2,2,9,4,4,8,4,10,2,1,3,6,3,3,4,4,10,5,1,7,8,5,5,3,2,1,9,10,4,3,1,10,9,2,1,7,4,9,4,10,9,8,8,8,1,2,5,2,9,3,2,7,6,9,4,3,9,10,4,2,10,3,2,9,3,4,8,1,1,8,5,2,5,9,7,8,3,5,10,5,7,7,8,1,1,6,7,3,6,3,10,1,1,3,9,5,5,5,6,2,4,1,6,6,1,8,2,8,2,10,7,10,2,6,9,7,3,3,7,4,6,9,9,4,6,1,4,6,3,6,1,7,6,8,3,5,7,6,2,9,5,5,8,1,3,6,8,5,7,6,3,2,9,8,10,9,6,7,6,8,9,10,9,2,5,8,7,7,7,2,8,2,1,4,1,2,10,8,10,8,10,2,7,4,3,4,10,10,1,6,2,1,4,5,1,3,10,3,4,2,9,8,7,4,7,8,4,4,5,9,4,1,5,9,5,10,2,9,10,10,8,7,5,1,3,3,3,7,7,1,6,3,10,8,9,9,2,3,4,1,8,3,6,9,6,5,5,5,4,8,6,1,2,10,1,6,2,3,2,4,9,10,10,10,6,6,8,10,4,1,2,5,9,5,7,2,10,6,4,10,9,10,6,2,2,5,8,7,8,5,3,3,2,3,6,9,5,8,2,10,3,6,1,9,4,2,2,8,2,8,8,10,2,5,3,3,1,1,8,9,5,8,9,7,4,1,4,9,2,2,10,6,10,1,1,1,8,4,6,6,4,9,9,10,2,10,1,2,3,5,3,3,3,4,7,3,6,8,1,2,1,8,1,2,5,4,10,6,9,6,3,3,1,9,2,2,7,1,9,2,2,4,2,3,2,7,2,10,7,8,10,8,4,2,1,2,4,8,1,6,10,7,4,7,9,2,4,7,1,8,9,2,6,10,4,9,5,8,9,5,1,1,10,6,9,8,2,7,2,10,9,10,6,9,10,6,10,5,4,10,5,6,1,7,8,1,9,2,8,8,8,7,5,1,6,2,2,3,8,6,7,4,7,10,9,1,2,2,4,1,3,6,3,4,8,2,4,6,7,9,2,9,10,1,2,8,6,5,5,10,5,8,6,1,9,2,5,1,5,8,9,5,7,7,4,2,3,5,3,4,7,8,7,8,7,5,7,10,10,4,8,5,8,6,10,4,8,1,5,5,1,5,4,8,7,6,4,2,3,3,7,1,10,4,3,10,9,3,4,5,5,2,2,9,8,9,4,5,2,9,8,9,3,2,8,4,7,9,8,1,3,2,5,4,10,4,1,1,8,1,2,4,3,5,3,9,1,7,5,6,2,4,10,9,7,10,3,5,5,4,3,8,9,7,1,8,10,5,1,4,10,5,2,7,10,10,1,10,8,4,2,5,7,8,5,1,5,4,6,10,9,9,1,2,7,10,1,2,1,2,9,4,4,2,9,5,6,10,3,7,1,1,8,7,7,9,5,6,8,4,6,8,10,6,5,10,7,5,8,7,2,3,10,9,3,1,9,5,2,5,2,10,6,7,7,9,2,3,2,10,5,2,2,8,5,10,4,4,2,9,10,10,1,10,4,10,10,10,9,10,7,1,4,8,3,2,2,3,9,6,7,7,6,10,8,1,4,3,10,5,1,1,8,4,5,1,4,6,7,5,3,1,10,6,6,2,1,5,4,7,9,10,4,3,1,4,1,3,5,7,9,10,3,3,8,4,8,2,4,8,3,1,1,1,8,4,1,1,4,3,4,10,6,5,1,9,1,6,7,3,5,7,6,9,1,5,10,6,1,10,1,7,9,2,5,4,5,7,5,6,2,4,8,1,8,9,3,3,6,9,10,7,9,6,9,7,3,5,1,3,2,3,6,5,4,7,6,8,8,4,4,2,9,1,10,1,1,10,3,5,8,4,3,8,5,4,10,10,10,10,6,10,1,1,5,10,10,4,5,1,3,1,6,7,9,1,4,3,1,8,3,8,1,7,6,9,8,6,2,3,8,8,7,10,10,9,3,8,4,2,7,3,4,3,3,3,6,2,2,10,9,2,2,2,8,3,8,8,5,8,6,5,8,7,1,8,3,8,10,10,9,8,2,5,1,3,3,3,4,5,7,7,3,9,7,10,6,8,7,5,6,2,3,10,4,2,3,3,2,2,2,7,10,5,9,2,4,1,6,10,8,2,5,10,10,8,4,6,8,8,7,1,8,8,6,4,10,6,3,2,4,7,5,4,8,6,8,7,1,7,6,4,6,9,5,3,3,2,3,4,6,1,3,5,5,7,9,1,3,5,3,3,10,8,6,10,9,2,4,6,7,1,6,2,2,5,10,1,9,8,8,1,6,9,2,5,1,2,9,5,10,4,3,5,6,1,2,10,2,5,10,9,4,9,1,3,1,7,4,5,8,6,2,3,5,10,3,5,9,2,2,4,10,2,8,7,1,4,1,5,1,1,6,2,5,6,8,4,1,7,3,6,6,8,9,3,8,6,2,7,10,9,4,10,4,1,10,2,9,5,7,6,10,9,10,4,6,7,1,8,5,7,9,4,5,5,5,9,8,2,6,2,7,9,4,6,5,5,7,8,8,9,8,8,10,3,7,8,6,2,4,5,7,9,3,1,7,2,6,1,10,6,8,1,2,3,5,2,1,8,6,5,5,2,1,2,9,2,9,6,3,2,3,3,6,10,4,2,6,5,7,3,1,8,10,3,4,8,2,5,9,9,2,7,3,10,10,9,6,10,5,9,7,5,6,2,8,1,6,10,4,6,7,2,9,6,3,5,10,2,6,7,10,5,9,8,3,2,3,5,5,2,3,8,1,2,2,5,7,9,5,10,5,8,7,8,8,7,4,1,6,9,4,5,5,10,9,4,5,6,8,9,7,3,9,9,1,6,1,7,3,2,10,6,1,5,4,2,1,8,1,10,6,6,9,8,6,7,5,9,2,3,3,7,2,10,10,6,7,7,9,6,6,1,1,7,5,5,8,9,4,9,8,1,3,4,2,6,2,2,6,7,3,5,7,2,9,3,4,7,3,2,1,5,10,6,6,8,9,10,3,8,2,10,5,9,1,1,3,3,3,5,8,2,10,3,3,8,5,9,9,10,6,1,8,6,1,8,4,4,4,3,2,5,8,7,6,5,2,8,1,8,7,9,4,7,10,3,10,8,10,10,6,4,5,3,5,5,3,9,5,4,6,9,5,8,7,4,1,3,1,1,2,5,9,9,3,3,3,1,4,2,1,4,6,9,9,4,7,2,3,10,1,5,10,9,2,5,2,1,1,4,4,8,5,9,2,2,5,2,2,3,7,4,10,3,8,10,2,6,10,9,4,1,2,9,6,7,2,9,6,1,3,4,10,3,3,10,2,10,7,5,3,7,6,6,6,8,9,8,4,6,5,5,1,2,2,2,2,5,1,9,8,8,7,1,2,1,10,7,2,1,4,4,8,3,3,1,10,2,8,3,5,7,4,7,1,3,4,8,8,6,6,2,9,1,5,6,5,2,4,9,1,2,6,2,10,2,10,6,7,8,10,3,4,8,6,3,4,3,10,5,6,1,2,6,9,9,10,4,8,5,10,9,1,4,10,3,4,10,8,4,10,6,9,6,5,7,4,8,9,1,5,9,4,7,6,10,4,3,5,10,8,7,1,5,2,2,6,4,4,6,6,1,2,9,9,8,4,7,8,1,3,9,9,6,9,6,7,4,6,3,8,8,1,8,6,3,8,1,2,1,2,4,4,3,2,4,1,6,3,1,1,6,7,9,2,7,4,4,5,3,4,8,7,7,5,1,10,9,2,7,2,5,5,10,3,9,1,8,5,8,10,9,9,10,10,7,4,1,10,7,9,7,4,8,10,1,1,8,10,5,8,10,9,8,4,6,9,5,1,9,10,10,2,8,8,3,10,10,6,3,5,1,1,4,9,1,3,10,10,2,9,8,9,6,3,1,8,10,8,6,8,2,10,2,7,9,10,9,5,5,3,3,1,8,6,2,7,7,4,6,1,9,2,5,4,2,6,2,1,10,2,7,1,7,9,7,10,7,3,6,3,7,1,6,6,9,4,4,1,1,8,2,8,9,2,7,9,6,1,5,7,1,9,10,9,7,8,1,6,7,2,10,5,3,1,6,2,1,3,10,10,2,2,3,8,5,1,3,3,3,1,7,5,3,4,8,6,8,4,6,3,1,2,9,8,5,10,2,6,2,7,10,1,5,5,2,8,7,9,3,4,8,3,2,2,6,8,4,10,2,10,5,4,2,1,8,4,7,1,6,5,6,1,6,3,2,9,7,3,2,6,4,2,4,2,4,6,9,4,9,2,8,1,4,6,8,4,10,2,1,9,10,1,4,10,7,5,7,10,3,1,7,8,3,9,8,3,7,3,3,6,8,8,6,8,6,2,5,1,10,5,8,4,5,1,1,5,6,3,8,8,10,7,3,9,3,2,10,9,5,10,9,5,8,3,4,9,8,7,9,3,4,6,9,9,9,9,4,1,7,5,5,9,3,2,1,10,2,5,2,7,4,10,1,9,1,3,5,9,8,4,4,7,10,3,1,1,7,2,5,7,10,8,6,10,1,3,5,7,7,7,5,4,10,9,9,9,6,2,2,7,10,1,3,2,1,8,8,3,10,1,9,6,10,8,7,10,9,6,10,9,9,3,7,9,2,10,4,10,7,1,8,7,8,10,4,9,1,9,9,4,2,10,3,6,5,1,4,3,3,10,10,9,6,2,8,10,5,10,6,2,10,8,5,9,4,9,4,9,4,4,5,4,1,4,6,2,9,10,8,8,5,6,2,6,7,9,4,3,6,4,10,2,8,5,6,2,2,9,1,5,7,2,10,6,1,7,3,7,6,4,8,6,8,2,4,3,4,3,5,4,10,4,3,6,2,4,10,5,10,2,8,8,3,1,5,5,10,3,10,5,7,5,4,10,8,6,1,4,2,5,6,5,7,5,2,9,5,9,3,4,1,2,2,7,8,6,4,1,10,6,4,9,5,5,2,1,5,4,10,5,2,2,10,10,5,4,2,9,6,6,9,4,8,5,5,4,6,2,6,3,7,2,6,7,5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10,5,10,2,9,4,10,2,3,1,6,1,2,9,8,5,10,3,10,5,6,7,6,8,1,1,10,9,4,4,2,10,10,2,6,4,6,4,3,1,2,7,10,2,1,8,9,8,2,4,1,4,4,7,5,9,2,10,4,9,3,7,7,4,2,2,5,6,2,10,5,2,9,6,3,7,1,2,9,9,2,10,9,9,4,1,1,8,9,3,1,10,5,6,5,4,4,1,3,3,6,8,9,3,2,10,6,5,4,7,7,3,6,10,7,5,8,9,3,2,3,5,1,8,6,4,5,8,1,7,2,6,6,8,10,1,9,5,8,8,4,8,6,6,3,8,8,6,9,8,2,4,8,5,2,5,6,2,3,9,7,3,3,9,4,9,5,2,5,7,8,2,8,7,6,8,1,6,1,5,2,9,1,3,9,10,4,1,6,4,10,4,4,9,3,2,4,7,3,3,2,7,8,5,2,6,4,7,3,9,5,5,4,1,9,5,1,5,4,1,3,7,10,1,5,7,6,4,1,7,3,5,4,2,5,4,7,5,1,10,10,7,9,4,10,9,2,10,5,9,5,2,6,2,3,10,4,6,1,1,4,9,3,1,4,6,3,10,7,4,5,9,2,6,3,9,5,4,7,6,6,8,9,6,4,3,3,10,9,5,5,10,6,8,9,8,9,6,4,6,4,9,10,1,1,1,7,3,4,8,8,9,3,9,1,2,1,6,6,6,4,9,1,7,8,3,7,6,3,2,10,9,9,6,2,1,8,9,10,4,9,1,6,5,3,7,6,5,4,10,6,4,7,4,4,2,1,5,10,8,7,6,5,2,5,3,1,1,9,10,6,3,7,4,3,5,8,10,10,2,9,10,9,9,9,1,5,7,1,10,3,4,4,3,4,6,9,3,2,7,9,4,2,8,8,5,8,5,10,2,4,9,6,6,9,1,10,5,8,3,4,4,7,1,2,4,6,2,9,5,10,10,3,7,5,3,2,10,5,10,8,10,10,7,5,1,8,2,3,7,2,1,7,7,8,10,10,6,7,3,1,8,1,4,5,3,8,9,2,10,2,1,8,2,5,6,3,2,7,5,4,9,2,7,8,6,4,7,8,4,5,10,6,6,10,5,2,8,6,3,4,1,1,8,7,2,1,5,3,4,6,9,7,6,1,7,6,4,8,2,4,6,3,3,7,7,2,6,4,2,8,8,9,5,6,8,7,9,8,5,2,3,6,3,10,8,10,3,4,10,5,10,5,3,9,3,1,1,2,6,8,1,3,5,3,3,10,5,4,3,2,4,6,6,3,8,1,1,8,2,3,10,4,9,1,7,9,8,7,5,3,3,8,6,8,7,10,4,7,2,10,8,7,5,8,4,10,8,8,5,8,6,9,3,10,1,5,1,8,1,3,4,6,1,3,3,10,6,2,2,8,10,6,10,10,2,4,6,5,3,9,4,4,1,7,4,9,2,4,7,10,8,5,3,7,2,3,2,10,5,4,9,5,6,6,1,4,5,5,5,9,9,6,1,3,6,8,5,2,5,2,3,2,3,7,3,6,10,9,6,1,3,9,6,6,10,4,10,9,4,3,1,9,3,1,4,8,4,8,4,6,1,3,4,2,7,4,9,5,6,3,9,10,9,3,3,3,4,4,5,1,1,1,2,9,4,2,9,4,9,10,5,4,9,4,7,6,9,1,10,4,10,10,3,10,5,4,8,10,2,10,4,5,10,4,4,1,7,6,9,5,4,1,10,4,4,7,7,6,1,10,9,8,2,5,1,9,2,7,7,1,10,9,4,10,7,3,1,9,8,3,5,8,5,8,10,1,5,8,9,2,9,2,9,2,3,1,8,3,7,9,9,2,5,4,5,2,8,6,4,1,3,2,2,5,8,3,5,1,4,7,7,2,3,7,4,7,4,4,2,1,4,5,2,2,6,6,1,3,10,7,7,6,10,7,3,10,6,1,9,9,2,4,9,7,7,1,7,5,4,9,7,7,3,8,6,2,1,9,2,10,1,1,8,1,5,8,5,2,10,7,8,1,10,6,6,5,1,6,2,4,10,1,2,2,5,10,6,7,10,5,10,3,5,7,4,2,5,6,4,8,7,3,6,2,10,1,2,3,10,6,4,2,1,7,10,3,2,3,10,9,10,3,7,8,8,9,3,4,1,9,10,3,3,2,5,5,8,2,3,4,5,9,6,1,7,9,5,3,6,10,7,5,7,10,6,1,9,5,4,2,1,5,3,1,5,1,9,5,2,9,2,10,5,5,5,1,1,6,2,3,1,6,8,9,9,7,3,1,8,8,6,7,2,6,1,10,2,7,9,2,3,4,5,9,3,1,7,8,10,2,7,6,6,10,4,2,1,5,1,3,8,2,4,3,2,2,1,7,7,6,7,9,2,3,7,8,5,8,8,7,3,10,5,7,3,9,5,6,2,8,8,7,5,8,1,6,9,9,9,5,7,10,5,3,10,4,1,10,9,2,6,3,2,4,4,7,5,3,10,5,3,8,1,9,5,1,9,10,2,1,10,2,9,5,9,9,7,9,4,8,2,5,9,7,1,7,6,1,10,6,8,5,9,5,2,4,8,7,8,7,3,9,5,10,6,8,9,2,5,7,10,3,6,8,10,2,7,9,4,10,4,2,3,8,1,3,8,8,8,6,9,3,8,4,9,9,1,8,4,10,7,10,2,6,8,6,2,6,6,9,2,6,4,5,7,7,10,4,1,7,7,1,4,1,8,6,4,1,1,3,2,8,4,3,3,5,9,3,8,8,3,4,1,10,4,1,5,10,6,10,5,10,7,6,5,1,3,7,4,2,2,9,2,8,2,8,5,5,1,4,9,9,2,10,3,4,5,4,3,4,1,6,10,2,4,10,1,5,5,5,2,1,10,3,2,5,6,5,1,7,8,7,1,7,7,6,8,8,3,6,7,7,5,8,1,7,1,5,9,4,1,6,8,10,9,7,1,9,5,7,4,5,8,6,10,5,2,6,7,5,5,5,3,7,3,2,3,1,6,9,5,2,8,9,6,3,5,6,3,3,7,1,8,7,10,7,3,1,2,5,7,1,3,9,1,4,7,2,4,3,9,7,7,8,8,3,6,1,4,2,1,10,4,8,2,2,3,1,6,4,8,10,5,6,4,2,10,5,7,10,3,4,6,1,5,4,10,3,8,9,2,10,7,3,8,4,2,5,2,3,8,8,7,2,5,2,7,9,7,7,3,7,10,7,9,9,8,5,3,3,8,2,3,2,10,6,3,8,10,4,10,10,6,3,6,8,10,5,8,2,3,6,9,9,2,7,5,3,10,3,2,10,1,1,6,5,2,7,6,7,2,1,10,5,6,3,3,3,8,3,4,6,6,8,4,5,8,7,10,4,1,5,8,8,2,8,8,1,4,5,8,1,8,2,9,7,3,10,1,1,1,6,8,1,10,4,3,9,10,9,2,9,7,10,9,8,3,3,9,8,3,5,7,7,1,8,8,8,3,7,3,2,8,9,5,2,5,2,5,7,10,8,1,9,9,3,9,4,1,10,3,2,10,3,7,5,4,4,7,3,7,6,9,7,1,2,9,1,1,10,10,3,3,3,2,3,7,9,4,8,1,8,8,2,7,3,4,3,10,2,4,7,4,9,3,2,9,8,3,9,6,10,10,7,3,9,4,9,6,4,4,4,5,1,7,2,7,6,9,6,8,9,9,7,4,5,9,7,10,3,8,3,10,8,10,6,8,8,2,1,6,2,3,3,6,8,9,7,6,7,10,8,3,8,10,8,3,10,10,9,7,3,8,7,10,4,10,9,8,7,2,4,3,3,6,7,8,6,6,2,9,2,7,1,3,5,3,10,10,8,9,4,10,6,10,4,4,1,6,8,6,7,6,2,8,2,2,10,9,7,5,1,6,5,2,8,1,10,7,8,6,2,1,5,6,6,4,5,6,7,10,1,4,2,4,5,9,1,7,4,4,4,5,9,3,6,1,8,8,1,4,7,4,9,4,3,5,4,4,3,8,2,1,5,3,2,10,3,6,3,7,9,9,9,3,9,3,7,2,5,7,5,3,8,9,4,4,5,9,9,4,5,3,5,2,7,4,9,5,2,3,5,2,10,1,4,6,5,9,8,2,5,9,5,4,7,10,8,6,7,2,6,10,8,8,8,3,10,6,10,9,9,4,5,1,5,3,1,5,5,1,1,10,3,9,4,8,9,6,1,1,8,7,8,10,10,1,8,3,1,9,10,4,2,4,6,10,3,9,2,6,9,9,10,8,1,8,6,1,4,4,2,10,5,1,2,7,5,4,6,3,6,4,10,7,8,9,8,10,10,2,8,9,10,2,5,2,3,3,7,4,2,3,5,2,4,8,8,5,9,5,1,4,2,4,1,4,7,8,8,2,3,8,8,5,7,10,7,2,10,3,4,5,10,5,1,5,3,2,9,7,9,5,2,6,7,1,5,4,3,7,1,6,8,4,6,3,6,8,9,1,6,1,6,10,6,1,10,3,3,3,3,8,3,7,5,9,4,4,10,10,3,8,5,2,2,8,7,8,1,7,6,3,2,5,3,10,5,8,7,2,3,5,10,10,7,1,1,10,3,8,8,9,7,8,6,6,4,10,3,5,4,3,9,8,5,2,7,4,5,1,4,2,2,1,8,10,7,1,4,6,6,8,3,3,5,8,5,5,9,3,5,1,6,4,4,9,5,8,3,2,1,3,1,3,8,3,2,8,6,7,10,5,6,8,3,9,6,5,9,8,7,2,3,4,3,9,1,3,1,8,10,4,6,8,6,8,1,10,4,5,2,1,7,1,10,6,8,1,4,1,5,6,9,2,7,10,10,8,6,9,4,6,3,6,7,4,5,5,7,9,7,10,9,6,9,3,8,10,2,2,8,2,4,1,10,7,3,7,3,5,6,2,10,4,9,7,5,6,7,5,6,2,8,6,6,8,7,1,1,4,4,7,7,3,7,5,5,6,1,4,7,6,7,8,7,4,9,5,2,10,3,10,8,6,7,9,9,1,7,2,1,8,5,5,4,6,3,6,5,9,6,9,6,6,9,10,10,2,4,3,5,4,7,5,3,5,5,4,5,7,4,8,7,10,10,9,4,8,6,7,8,8,2,1,10,6,3,1,1,3,3,1,2,7,10,7,9,6,2,5,4,7,5,1,4,2,8,7,5,5,5,7,6,9,2,1,9,5,1,7,10,3,5,5,6,9,9,9,8,7,1,4,8,9,5,5,10,7,1,7,3,4,3,10,9,8,3,9,10,9,2,6,1,2,7,3,3,2,8,2,3,9,8,1,7,7,10,3,1,2,4,3,1,2,10,8,3,8,3,2,1,9,3,4,10,3,1,3,1,7,8,9,7,8,8,6,9,5,3,6,10,4,9,10,8,5,6,4,2,4,1,4,3,7,3,1,7,10,7,5,3,10,6,2,8,10,5,5,5,8,6,8,1,1,4,10,4,2,9,8,10,5,7,3,2,8,6,6,7,7,9,4,10,1,6,5,5,1,7,6,6,3,9,3,6,9,9,1,5,5,10,4,3,4,5,6,5,9,5,6,7,4,3,2,10,3,9,4,5,2,8,5,4,8,9,9,4,8,1,7,9,3,10,3,6,4,3,10,2,3,5,7,6,3,2,8,7,2,10,5,3,1,9,8,4,3,7,8,7,3,7,8,5,6,10,5,5,9,6,3,1,5,5,5,2,1,3,3,1,6,4,3,2,9,1,8,9,8,5,10,8,3,5,10,10,2,7,7,10,5,1,3,5,8,7,5,6,1,8,9,2,10,8,8,10,6,4,10,3,10,6,7,4,6,3,1,4,9,8,7,1,10,10,5,9,9,2,8,2,1,1,1,3,10,4,1,8,7,10,1,4,6,7,5,2,3,6,10,8,9,10,8,1,4,6,9,1,4,9,5,7,1,10,5,4,8,6,5,8,2,1,4,3,10,3,5,1,10,3,3,4,10,8,1,10,10,1,3,4,4,2,9,10,7,4,3,1,6,4,9,5,9,3,5,9,2,8,5,9,7,7,1,1,8,6,3,4,8,9,7,1,10,8,3,6,9,2,6,5,9,5,1,4,6,10,10,1,8,9,5,5,2,5,1,5,3,3,7,10,2,10,4,9,1,1,6,2,10,3,6,5,10,3,4,10,8,5,9,9,9,10,2,3,4,2,2,1,1,5,6,1,3,4,6,6,4,8,9,2,5,6,5,2,10,2,6,9,1,6,2,10,1,4,2,3,2,7,9,9,5,5,1,4,9,10,7,1,4,6,4,10,1,6,10,9,10,2,5,10,2,1,8,6,9,4,4,2,5,4,10,4,1,9,6,1,2,6,8,1,8,8,10,10,4,7,5,2,1,3,7,6,6,4,9,8,4,9,6,10,6,10,7,8,3,1,4,1,10,7,10,1,1,1,9,3,8,4,4,6,3,7,8,2,9,7,4,7,1,4,4,7,10,9,9,2,3,10,1,6,1,5,5,10,3,5,2,8,3,10,10,3,1,1,3,8,9,1,6,5,4,8,10,7,9,7,6,8,8,7,2,9,2,3,9,2,9,4,10,2,5,7,4,6,9,9,10,8,10,3,2,4,2,8,4,9,9,4,5,10,2,2,9,10,4,1,4,6,7,8,10,7,9,9,5,7,7,6,4,3,2,6,6,2,7,5,4,6,5,6,3,2,1,5,9,3,5,6,2,5,2,6,4,5,4,7,8,1,9,10,2,3,10,2,8,6,7,5,8,10,3,3,10,7,8,5,9,9,6,6,7,1,10,2,4,10,2,6,5,5,8,2,10,2,1,4,9,3,10,7,4,3,10,7,5,8,6,6,2,8,10,7,6,3,5,9,4,9,5,6,4,10,7,10,10,9,8,5,8,4,7,5,2,3,1,10,7,6,7,9,10,7,8,3,9,8,7,10,10,2,1,4,7,6,6,10,8,9,4,6,10,1,9,7,9,7,10,2,10,5,9,5,1,5,4,1,1,7,3,4,1,3,6,4,1,7,3,1,3,8,8,5,1,2,3,2,2,8,6,2,10,10,3,7,10,9,4,3,9,2,2,4,9,5,7,4,8,3,9,7,3,6,9,7,3,6,4,8,5,3,3,4,3,8,7,6,8,9,1,1,9,2,8,4,2,6,3,2,3,3,4,5,7,4,7,10,3,3,5,5,6,1,7,2,8,5,8,4,10,10,9,3,6,10,8,6,10,3,5,8,8,8,4,4,2,3,4,1,4,8,2,2,2,8,1,8,3,9,8,6,2,2,1,5,6,7,2,8,8,7,1,3,9,6,1,2,3,3,1,9,10,7,10,4,2,4,8,1,5,7,1,7,2,3,4,6,3,8,10,3,6,1,7,5,3,5,8,6,5,8,5,8,5,6,7,8,2,1,10,9,4,5,8,5,5,9,7,1,10,2,4,1,4,3,10,6,4,7,3,2,10,3,9,3,2,1,10,7,3,3,3,3,7,1,3,7,10,6,6,1,1,10,2,4,3,8,7,2,2,5,5,4,9,10,4,10,8,1,1,3,4,7,2,1,4,8,7,2,4,7,2,10,4,4,1,7,8,10,1,3,10,5,4,4,4,10,3,9,2,9,1,10,4,5,1,7,2,9,8,6,5,5,3,8,10,5,9,9,1,2,7,8,2,4,8,1,6,2,8,4,5,6,3,7,9,8,3,7,6,9,6,5,8,1,5,1,6,5,1,9,5,3,10,10,5,10,6,1,2,9,10,4,5,8,10,6,7,8,2,4,6,4,3,1,10,3,2,3,3,1,2,2,7,1,10,10,2,10,2,4,2,10,9,5,8,10,9,1,1,3,8,3,6,6,6,6,9,8,6,9,5,5,3,7,2,7,9,5,8,4,8,5,1,1,6,9,8,10,9,2,8,10,5,8,3,6,8,1,2,5,5,3,1,4,7,3,3,9,1,6,9,1,7,10,3,6,5,7,10,2,2,7,8,10,7,8,3,5,9,9,7,5,8,3,10,7,6,8,2,10,5,10,9,8,5,7,2,7,5,9,8,4,1,4,4,2,10,9,8,1,2,5,8,4,4,10,2,2,8,10,8,6,2,4,2,1,10,9,5,6,3,7,8,9,4,1,10,6,4,5,4,6,10,10,6,8,4,2,5,6,8,3,6,8,9,3,6,4,5,8,9,3,10,10,3,6,3,2,7,4,5,7,5,1,2,2,4,6,9,5,10,4,4,4,1,1,10,10,3,9,8,3,6,5,1,2,4,4,1,5,1,3,5,1,6,10,9,7,7,5,1,7,8,6,8,4,4,3,3,10,5,2,1,6,6,3,2,9,5,9,6,5,1,2,8,3,9,3,9,10,4,1,9,7,8,3,10,2,4,5,9,7,8,3,4,3,9,7,1,1,6,9,5,9,4,6,5,9,10,2,2,10,7,4,10,1,3,1,7,8,1,3,7,3,3,5,1,8,10,2,3,7,10,1,4,5,2,1,2,9,5,4,7,8,8,10,9,1,9,6,9,3,6,9,7,8,4,8,2,10,7,8,1,2,9,8,8,7,2,2,9,5,2,6,5,4,1,10,8,9,7,8,4,7,5,4,3,6,10,1,10,8,2,5,3,4,6,7,5,4,6,10,7,8,1,9,5,7,7,6,2,3,8,9,3,10,4,2,2,10,1,9,5,5,10,6,3,8,5,3,5,1,5,7,10,8,5,1,7,2,4,8,9,5,6,4,2,5,1,1,9,1,10,5,8,1,9,4,4,7,4,7,9,6,4,8,1,7,6,9,4,2,5,3,2,1,8,2,3,1,10,5,2,3,4,4,5,3,4,3,3,9,1,7,1,3,5,1,3,7,9,5,2,5,3,7,6,7,6,10,10,9,8,8,7,3,9,1,8,1,3,3,2,6,6,9,10,10,4,4,10,9,8,1,4,9,4,1,4,5,1,9,9,2,8,7,1,1,7,10,9,7,7,6,9,10,1,5,2,3,9,4,5,6,3,3,5,6,3,7,6,10,9,10,7,6,9,3,7,2,10,8,9,1,3,5,2,6,3,1,6,5,5,9,9,1,5,6,9,2,7,4,10,1,8,1,1,9,3,2,2,8,6,10,2,5,3,7,3,8,9,10,10,2,3,10,8,2,9,5,5,3,5,4,7,7,2,10,6,1,5,3,1,6,9,7,6,6,2,8,7,3,3,9,5,8,9,5,10,9,2,3,9,5,9,7,9,7,5,1,2,10,4,10,10,5,5,1,3,5,8,1,3,3,6,9,8,7,2,9,2,1,6,10,7,8,7,6,5,2,6,4,3,1,9,9,6,5,5,6,6,8,7,8,9,7,6,6,5,3,3,6,2,6,8,2,2,7,8,10,10,5,6,4,2,7,9,1,2,5,3,8,10,5,10,4,9,6,4,7,7,3,5,1,6,8,7,7,1,4,1,5,9,1,4,6,5,8,3,5,4,4,5,6,7,4,7,9,8,6,10,6,5,1,8,2,9,7,1,4,7,2,5,10,7,4,1,6,1,4,9,5,9,8,4,8,10,9,4,8,4,5,4,10,1,5,3,7,6,6,7,8,8,6,5,10,7,8,3,10,7,10,4,5,4,10,9,6,2,8,1,8,10,4,6,1,6,3,3,1,2,5,3,8,8,10,10,1,2,3,5,9,9,3,7,9,4,9,8,7,10,4,1,1,3,5,5,5,10,1,2,10,5,6,1,4,7,8,8,1,9,3,7,2,6,2,9,7,6,9,8,3,7,5,6,9,10,8,1,6,4,1,4,8,5,10,2,4,4,10,8,8,4,7,8,10,6,9,1,3,8,9,2,10,7,10,1,8,3,6,10,6,5,10,9,4,10,5,10,7,1,5,1,5,3,6,1,3,10,8,8,1,1,6,10,2,4,9,4,3,5,3,1,8,10,8,10,4,2,3,6,7,8,8,2,1,6,2,4,4,10,9,2,9,5,4,7,2,7,10,10,1,7,7,2,8,6,5,5,10,10,10,9,5,8,10,5,9,2,1,10,8,1,4,9,6,7,1,5,9,10,10,1,8,7,7,5,1,3,1,10,5,3,2,5,1,1,4,1,5,4,4,8,2,2,1,4,9,8,7,8,10,8,8,3,5,7,6,1,3,2,1,9,5,4,4,4,2,2,1,3,5,8,2,9,7,4,6,4,4,9,2,2,10,8,1,5,6,5,10,5,5,5,9,7,3,4,1,5,10,7,8,10,7,1,7,2,1,1,8,7,2,4,7,4,1,3,10,2,3,7,9,4,7,9,6,3,3,4,7,6,6,10,5,8,1,5,3,6,8,1,9,3,6,2,9,1,6,9,4,3,5,3,4,5,5,4,5,1,6,5,7,1,9,9,4,2,3,3,2,7,2,8,6,2,2,6,7,6,8,6,10,7,1,3,4,8,1,7,2,5,6,1,9,5,2,10,8,6,5,3,4,7,7,8,1,8,4,8,4,8,7,5,1,3,9,5,8,9,3,1,7,4,1,9,6,4,9,5,6,3,10,6,7,1,8,1,10,8,8,1,6,2,6,6,9,10,4,10,2,3,3,8,3,9,6,2,7,3,1,3,4,3,7,1,9,4,4,7,6,8,6,7,2,3,5,5,7,2,5,9,5,2,3,7,10,2,2,1,9,9,4,2,6,5,1,3,8,3,5,9,1,6,9,4,3,10,2,4,8,3,10,2,5,8,6,6,3,1,6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    "limit = 10\n",
    "people.sort(reverse=True)\n",
    "arr = people\n",
    "#print(arr, \"\\n\")\n",
    "boats = 0\n",
    "used_index = []\n",
    "is_used = lambda e: e in used_index\n",
    "\n",
    "i = 0\n",
    "while i < len(arr):\n",
    "    print(i)\n",
    "    e = arr[i]\n",
    "    if is_used(i):\n",
    "        i += 1\n",
    "        continue\n",
    "    if e <= limit:\n",
    "        #print(\"i: \", i)\n",
    "        used_index.append(i)\n",
    "        target = limit - e\n",
    "        #print(f\"boats {boats}, left{arr[i+1:]}, used{used_index}, target {target}\")\n",
    "        for j, e in enumerate(arr[i+1:]):\n",
    "            if is_used(j+i+1):\n",
    "                continue\n",
    "            if e <= target:\n",
    "                #print(f\"j+i+1: {j+i+1}, e {e}\")\n",
    "                used_index.append(j+i+1)\n",
    "                break\n",
    "        boats += 1\n",
    "        #print()\n",
    "    i += 1\n",
    "\n",
    "print(boats)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "https://leetcode.com/problems/boats-to-save-people\n",
    "\n",
    "\n",
    "Time Limit Exceeded\n",
    "\n",
    "\n",
    "\n",
    "```python\n",
    "class Solution:\n",
    "    def numRescueBoats(self, people: List[int], limit: int) -> int:\n",
    "        people.sort(reverse=True)\n",
    "        arr = people\n",
    "        print(arr, \"\\n\")\n",
    "        boats = 0\n",
    "        used_index = []\n",
    "        is_used = lambda e: e in used_index\n",
    "\n",
    "        i = 0\n",
    "        while i < len(arr):\n",
    "            e = arr[i]\n",
    "            if is_used(i):\n",
    "                i += 1\n",
    "                continue\n",
    "            if e <= limit:\n",
    "                #print(\"i: \", i)\n",
    "                used_index.append(i)\n",
    "                target = limit - e\n",
    "                #print(f\"boats {boats}, left{arr[i+1:]}, used{used_index}, target {target}\")\n",
    "                for j, e in enumerate(arr[i+1:]):\n",
    "                    if is_used(j+i+1):\n",
    "                        continue \n",
    "                    if e <= target:\n",
    "                        #print(f\"j+i+1: {j+i+1}, e {e}\")\n",
    "                        used_index.append(j+i+1)\n",
    "                        #target = target - e\n",
    "                        break\n",
    "                boats += 1\n",
    "                #print()\n",
    "            i += 1\n",
    "        return boats\n",
    "```\n",
    "\n",
    "Spent > 4 hours due to daily work and Lack of concentration\n",
    "\n",
    "Tried > 8 times"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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