prog/[실패]양궁대회.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# https://school.programmers.co.kr/learn/courses/30/lessons/92342"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 전체 쏜 화살 개수\n",
    "# 점수를 뺏어서 이기는 방법 -> 화살이 많이 필요함\n",
    "# 다른데서 점수를 획득해서 이기는 방법 -> 점수차를 벌이기 힘듬"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 1 ≤ n ≤ 10\n",
    "# info의 길이 = 11\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "# https://think-tech.tistory.com/70\n",
    "# itertools 에서 combinations with replacement를 이용한 방법 ( 중복조합 뽑기)\n",
    "\n",
    "from itertools import combinations_with_replacement as cr\n",
    "from collections import Counter\n",
    "\n",
    "def solution(n, info):\n",
    "    answer = []\n",
    "    max_point=-1\n",
    "    info=info[::-1]\n",
    "    \n",
    "    for i in cr(range(0,11),n):\n",
    "        ry=0\n",
    "        ap=0\n",
    "        tmp=[0 for _ in range(11)]\n",
    "        \n",
    "        c = Counter(i)\n",
    "        \n",
    "        for j in range(0,11):\n",
    "            if info[j]<c[j]:\n",
    "                ry+=j\n",
    "            elif info[j] != 0:\n",
    "                ap+=j\n",
    "                \n",
    "            tmp[j]=c[j]\n",
    "            \n",
    "        if ry > ap:\n",
    "            dif=ry-ap\n",
    "            if max_point < dif:\n",
    "                max_point=dif\n",
    "                answer=tmp\n",
    "                \n",
    "    if answer :\n",
    "        return answer[::-1]\n",
    "    else :\n",
    "        return [max_point]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
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      "(6, 8, 9, 9, 10) Counter({9: 2, 6: 1, 8: 1, 10: 1})\n",
      "(6, 8, 9, 10, 10) Counter({10: 2, 6: 1, 8: 1, 9: 1})\n",
      "(6, 8, 10, 10, 10) Counter({10: 3, 6: 1, 8: 1})\n",
      "(6, 9, 9, 9, 9) Counter({9: 4, 6: 1})\n",
      "(6, 9, 9, 9, 10) Counter({9: 3, 6: 1, 10: 1})\n",
      "(6, 9, 9, 10, 10) Counter({9: 2, 10: 2, 6: 1})\n",
      "(6, 9, 10, 10, 10) Counter({10: 3, 6: 1, 9: 1})\n",
      "(6, 10, 10, 10, 10) Counter({10: 4, 6: 1})\n",
      "(7, 7, 7, 7, 7) Counter({7: 5})\n",
      "(7, 7, 7, 7, 8) Counter({7: 4, 8: 1})\n",
      "(7, 7, 7, 7, 9) Counter({7: 4, 9: 1})\n",
      "(7, 7, 7, 7, 10) Counter({7: 4, 10: 1})\n",
      "(7, 7, 7, 8, 8) Counter({7: 3, 8: 2})\n",
      "(7, 7, 7, 8, 9) Counter({7: 3, 8: 1, 9: 1})\n",
      "(7, 7, 7, 8, 10) Counter({7: 3, 8: 1, 10: 1})\n",
      "(7, 7, 7, 9, 9) Counter({7: 3, 9: 2})\n",
      "(7, 7, 7, 9, 10) Counter({7: 3, 9: 1, 10: 1})\n",
      "(7, 7, 7, 10, 10) Counter({7: 3, 10: 2})\n",
      "(7, 7, 8, 8, 8) Counter({8: 3, 7: 2})\n",
      "(7, 7, 8, 8, 9) Counter({7: 2, 8: 2, 9: 1})\n",
      "(7, 7, 8, 8, 10) Counter({7: 2, 8: 2, 10: 1})\n",
      "(7, 7, 8, 9, 9) Counter({7: 2, 9: 2, 8: 1})\n",
      "(7, 7, 8, 9, 10) Counter({7: 2, 8: 1, 9: 1, 10: 1})\n",
      "(7, 7, 8, 10, 10) Counter({7: 2, 10: 2, 8: 1})\n",
      "(7, 7, 9, 9, 9) Counter({9: 3, 7: 2})\n",
      "(7, 7, 9, 9, 10) Counter({7: 2, 9: 2, 10: 1})\n",
      "(7, 7, 9, 10, 10) Counter({7: 2, 10: 2, 9: 1})\n",
      "(7, 7, 10, 10, 10) Counter({10: 3, 7: 2})\n",
      "(7, 8, 8, 8, 8) Counter({8: 4, 7: 1})\n",
      "(7, 8, 8, 8, 9) Counter({8: 3, 7: 1, 9: 1})\n",
      "(7, 8, 8, 8, 10) Counter({8: 3, 7: 1, 10: 1})\n",
      "(7, 8, 8, 9, 9) Counter({8: 2, 9: 2, 7: 1})\n",
      "(7, 8, 8, 9, 10) Counter({8: 2, 7: 1, 9: 1, 10: 1})\n",
      "(7, 8, 8, 10, 10) Counter({8: 2, 10: 2, 7: 1})\n",
      "(7, 8, 9, 9, 9) Counter({9: 3, 7: 1, 8: 1})\n",
      "(7, 8, 9, 9, 10) Counter({9: 2, 7: 1, 8: 1, 10: 1})\n",
      "(7, 8, 9, 10, 10) Counter({10: 2, 7: 1, 8: 1, 9: 1})\n",
      "(7, 8, 10, 10, 10) Counter({10: 3, 7: 1, 8: 1})\n",
      "(7, 9, 9, 9, 9) Counter({9: 4, 7: 1})\n",
      "(7, 9, 9, 9, 10) Counter({9: 3, 7: 1, 10: 1})\n",
      "(7, 9, 9, 10, 10) Counter({9: 2, 10: 2, 7: 1})\n",
      "(7, 9, 10, 10, 10) Counter({10: 3, 7: 1, 9: 1})\n",
      "(7, 10, 10, 10, 10) Counter({10: 4, 7: 1})\n",
      "(8, 8, 8, 8, 8) Counter({8: 5})\n",
      "(8, 8, 8, 8, 9) Counter({8: 4, 9: 1})\n",
      "(8, 8, 8, 8, 10) Counter({8: 4, 10: 1})\n",
      "(8, 8, 8, 9, 9) Counter({8: 3, 9: 2})\n",
      "(8, 8, 8, 9, 10) Counter({8: 3, 9: 1, 10: 1})\n",
      "(8, 8, 8, 10, 10) Counter({8: 3, 10: 2})\n",
      "(8, 8, 9, 9, 9) Counter({9: 3, 8: 2})\n",
      "(8, 8, 9, 9, 10) Counter({8: 2, 9: 2, 10: 1})\n",
      "(8, 8, 9, 10, 10) Counter({8: 2, 10: 2, 9: 1})\n",
      "(8, 8, 10, 10, 10) Counter({10: 3, 8: 2})\n",
      "(8, 9, 9, 9, 9) Counter({9: 4, 8: 1})\n",
      "(8, 9, 9, 9, 10) Counter({9: 3, 8: 1, 10: 1})\n",
      "(8, 9, 9, 10, 10) Counter({9: 2, 10: 2, 8: 1})\n",
      "(8, 9, 10, 10, 10) Counter({10: 3, 8: 1, 9: 1})\n",
      "(8, 10, 10, 10, 10) Counter({10: 4, 8: 1})\n",
      "(9, 9, 9, 9, 9) Counter({9: 5})\n",
      "(9, 9, 9, 9, 10) Counter({9: 4, 10: 1})\n",
      "(9, 9, 9, 10, 10) Counter({9: 3, 10: 2})\n",
      "(9, 9, 10, 10, 10) Counter({10: 3, 9: 2})\n",
      "(9, 10, 10, 10, 10) Counter({10: 4, 9: 1})\n",
      "(10, 10, 10, 10, 10) Counter({10: 5})\n"
     ]
    }
   ],
   "source": [
    "# combinations_with_replacement 를 통해 만들어진 i와 counter(i)를 확인\n",
    "# i가 (0,0,3,0,10) 일경우 3번째 시도와 5번째 시도에 3점 10점을 냈음을 의미한다.\n",
    "# 그때 counter(i)는 { 0:3,3:1,10:1 } 로 표현 0점을 3발 3점을 1발 10점을 1발 맞췄다.\n",
    "\n",
    "for i in cr(range(0,11),5):\n",
    "    c = Counter(i)\n",
    "    print(i,c)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# https://www.youtube.com/watch?v=dzncNbPMiB4\n",
    "# 비트 쉬프트 연산 << 을 이용한 방법\n",
    "# 이진수 코드를 만들어서 하는 방법이다\n",
    "# 1<<1 => 2(10) / 1<<2 => 4(100) / 1<<3 => 8(1000)\n",
    "# 이진수를 표현하는 방법 bin(i)\n",
    "\n",
    "def solution(n, info):\n",
    "    answer=[0]*11\n",
    "    tmp=[0]*11\n",
    "    max_diff=0\n",
    "    \n",
    "    # 과녁을 못맞추는 경우를 배제한다면 \n",
    "    # 과녁에 맞췄다 못맞췄다라는 2진수의 형태로 표현할 수 있다.\n",
    "    # 아래에 주어진 subset은 이진수 1(2)에서 1111111111(1023)까지를 표현\n",
    "    for subset in range(1,1<<10):\n",
    "        ry=0\n",
    "        ap=0\n",
    "        c=0\n",
    "        \n",
    "        for i in range(10):\n",
    "            # 각 2진수의 자릿수의 값이 1인경우만 라이언이 이긴다고 체크\n",
    "            if subset & (1<<i):\n",
    "                ry += 10-i\n",
    "                tmp[i]=info[i]+1\n",
    "                c+= tmp[i]\n",
    "            else:\n",
    "                tmp[i]=0\n",
    "                \n",
    "                if info[i]:\n",
    "                    ap+= 10 -i\n",
    "                \n",
    "        if c >n: continue\n",
    "        \n",
    "        tmp[10]=n-c\n",
    "        \n",
    "        if ry - ap == max_diff:\n",
    "            for i in reversed(range(11)):\n",
    "                if tmp[i]>answer[i]:\n",
    "                    max_diff=ry-ap\n",
    "                    answer = tmp[:]\n",
    "                    break\n",
    "                elif tmp[i]<answer[i]:\n",
    "                    break\n",
    "                \n",
    "        elif ry-ap>max_diff:\n",
    "            max_diff = ry-ap\n",
    "            answer=tmp[:]\n",
    "    \n",
    "    if max_diff==0:\n",
    "        answer=[-1]\n",
    "        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2의 0제곱 1\n",
      "2의 1제곱 2\n",
      "2의 2제곱 4\n",
      "2의 3제곱 8\n",
      "2의 4제곱 16\n",
      "2의 5제곱 32\n",
      "2의 6제곱 64\n",
      "2의 7제곱 128\n",
      "2의 8제곱 256\n",
      "2의 9제곱 512\n",
      "2의 10제곱 1024\n"
     ]
    }
   ],
   "source": [
    "for i in range(0,11):\n",
    "    print(f\"2의 {i}제곱\",1 << i ) # 1(2진수이므로 실제 값은 2)을 왼쪽으로 i번 보낸다라는 의미 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "1<<0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'0b101'"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a=5\n",
    "bin(a)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0b1 0b1\n",
      "0b10 0b10\n",
      "0b11 0b1\n",
      "0b11 0b10\n",
      "0b100 0b100\n",
      "0b101 0b1\n",
      "0b101 0b100\n",
      "0b110 0b10\n",
      "0b110 0b100\n",
      "0b111 0b1\n",
      "0b111 0b10\n",
      "0b111 0b100\n",
      "0b1000 0b1000\n",
      "0b1001 0b1\n",
      "0b1001 0b1000\n",
      "0b1010 0b10\n",
      "0b1010 0b1000\n",
      "0b1011 0b1\n",
      "0b1011 0b10\n",
      "0b1011 0b1000\n",
      "0b1100 0b100\n",
      "0b1100 0b1000\n",
      "0b1101 0b1\n",
      "0b1101 0b100\n",
      "0b1101 0b1000\n",
      "0b1110 0b10\n",
      "0b1110 0b100\n",
      "0b1110 0b1000\n",
      "0b1111 0b1\n",
      "0b1111 0b10\n",
      "0b1111 0b100\n",
      "0b1111 0b1000\n",
      "0b10000 0b10000\n",
      "0b10001 0b1\n",
      "0b10001 0b10000\n",
      "0b10010 0b10\n",
      "0b10010 0b10000\n",
      "0b10011 0b1\n",
      "0b10011 0b10\n",
      "0b10011 0b10000\n",
      "0b10100 0b100\n",
      "0b10100 0b10000\n",
      "0b10101 0b1\n",
      "0b10101 0b100\n",
      "0b10101 0b10000\n",
      "0b10110 0b10\n",
      "0b10110 0b100\n",
      "0b10110 0b10000\n",
      "0b10111 0b1\n",
      "0b10111 0b10\n",
      "0b10111 0b100\n",
      "0b10111 0b10000\n",
      "0b11000 0b1000\n",
      "0b11000 0b10000\n",
      "0b11001 0b1\n",
      "0b11001 0b1000\n",
      "0b11001 0b10000\n",
      "0b11010 0b10\n",
      "0b11010 0b1000\n",
      "0b11010 0b10000\n",
      "0b11011 0b1\n",
      "0b11011 0b10\n",
      "0b11011 0b1000\n",
      "0b11011 0b10000\n",
      "0b11100 0b100\n",
      "0b11100 0b1000\n",
      "0b11100 0b10000\n",
      "0b11101 0b1\n",
      "0b11101 0b100\n",
      "0b11101 0b1000\n",
      "0b11101 0b10000\n",
      "0b11110 0b10\n",
      "0b11110 0b100\n",
      "0b11110 0b1000\n",
      "0b11110 0b10000\n",
      "0b11111 0b1\n",
      "0b11111 0b10\n",
      "0b11111 0b100\n",
      "0b11111 0b1000\n",
      "0b11111 0b10000\n",
      "0b100000 0b100000\n",
      "0b100001 0b1\n",
      "0b100001 0b100000\n",
      "0b100010 0b10\n",
      "0b100010 0b100000\n",
      "0b100011 0b1\n",
      "0b100011 0b10\n",
      "0b100011 0b100000\n",
      "0b100100 0b100\n",
      "0b100100 0b100000\n",
      "0b100101 0b1\n",
      "0b100101 0b100\n",
      "0b100101 0b100000\n",
      "0b100110 0b10\n",
      "0b100110 0b100\n",
      "0b100110 0b100000\n",
      "0b100111 0b1\n",
      "0b100111 0b10\n",
      "0b100111 0b100\n",
      "0b100111 0b100000\n",
      "0b101000 0b1000\n",
      "0b101000 0b100000\n",
      "0b101001 0b1\n",
      "0b101001 0b1000\n",
      "0b101001 0b100000\n",
      "0b101010 0b10\n",
      "0b101010 0b1000\n",
      "0b101010 0b100000\n",
      "0b101011 0b1\n",
      "0b101011 0b10\n",
      "0b101011 0b1000\n",
      "0b101011 0b100000\n",
      "0b101100 0b100\n",
      "0b101100 0b1000\n",
      "0b101100 0b100000\n",
      "0b101101 0b1\n",
      "0b101101 0b100\n",
      "0b101101 0b1000\n",
      "0b101101 0b100000\n",
      "0b101110 0b10\n",
      "0b101110 0b100\n",
      "0b101110 0b1000\n",
      "0b101110 0b100000\n",
      "0b101111 0b1\n",
      "0b101111 0b10\n",
      "0b101111 0b100\n",
      "0b101111 0b1000\n",
      "0b101111 0b100000\n",
      "0b110000 0b10000\n",
      "0b110000 0b100000\n",
      "0b110001 0b1\n",
      "0b110001 0b10000\n",
      "0b110001 0b100000\n",
      "0b110010 0b10\n",
      "0b110010 0b10000\n",
      "0b110010 0b100000\n",
      "0b110011 0b1\n",
      "0b110011 0b10\n",
      "0b110011 0b10000\n",
      "0b110011 0b100000\n",
      "0b110100 0b100\n",
      "0b110100 0b10000\n",
      "0b110100 0b100000\n",
      "0b110101 0b1\n",
      "0b110101 0b100\n",
      "0b110101 0b10000\n",
      "0b110101 0b100000\n",
      "0b110110 0b10\n",
      "0b110110 0b100\n",
      "0b110110 0b10000\n",
      "0b110110 0b100000\n",
      "0b110111 0b1\n",
      "0b110111 0b10\n",
      "0b110111 0b100\n",
      "0b110111 0b10000\n",
      "0b110111 0b100000\n",
      "0b111000 0b1000\n",
      "0b111000 0b10000\n",
      "0b111000 0b100000\n",
      "0b111001 0b1\n",
      "0b111001 0b1000\n",
      "0b111001 0b10000\n",
      "0b111001 0b100000\n",
      "0b111010 0b10\n",
      "0b111010 0b1000\n",
      "0b111010 0b10000\n",
      "0b111010 0b100000\n",
      "0b111011 0b1\n",
      "0b111011 0b10\n",
      "0b111011 0b1000\n",
      "0b111011 0b10000\n",
      "0b111011 0b100000\n",
      "0b111100 0b100\n",
      "0b111100 0b1000\n",
      "0b111100 0b10000\n",
      "0b111100 0b100000\n",
      "0b111101 0b1\n",
      "0b111101 0b100\n",
      "0b111101 0b1000\n",
      "0b111101 0b10000\n",
      "0b111101 0b100000\n",
      "0b111110 0b10\n",
      "0b111110 0b100\n",
      "0b111110 0b1000\n",
      "0b111110 0b10000\n",
      "0b111110 0b100000\n",
      "0b111111 0b1\n",
      "0b111111 0b10\n",
      "0b111111 0b100\n",
      "0b111111 0b1000\n",
      "0b111111 0b10000\n",
      "0b111111 0b100000\n",
      "0b1000000 0b1000000\n",
      "0b1000001 0b1\n",
      "0b1000001 0b1000000\n",
      "0b1000010 0b10\n",
      "0b1000010 0b1000000\n",
      "0b1000011 0b1\n",
      "0b1000011 0b10\n",
      "0b1000011 0b1000000\n",
      "0b1000100 0b100\n",
      "0b1000100 0b1000000\n",
      "0b1000101 0b1\n",
      "0b1000101 0b100\n",
      "0b1000101 0b1000000\n",
      "0b1000110 0b10\n",
      "0b1000110 0b100\n",
      "0b1000110 0b1000000\n",
      "0b1000111 0b1\n",
      "0b1000111 0b10\n",
      "0b1000111 0b100\n",
      "0b1000111 0b1000000\n",
      "0b1001000 0b1000\n",
      "0b1001000 0b1000000\n",
      "0b1001001 0b1\n",
      "0b1001001 0b1000\n",
      "0b1001001 0b1000000\n",
      "0b1001010 0b10\n",
      "0b1001010 0b1000\n",
      "0b1001010 0b1000000\n",
      "0b1001011 0b1\n",
      "0b1001011 0b10\n",
      "0b1001011 0b1000\n",
      "0b1001011 0b1000000\n",
      "0b1001100 0b100\n",
      "0b1001100 0b1000\n",
      "0b1001100 0b1000000\n",
      "0b1001101 0b1\n",
      "0b1001101 0b100\n",
      "0b1001101 0b1000\n",
      "0b1001101 0b1000000\n",
      "0b1001110 0b10\n",
      "0b1001110 0b100\n",
      "0b1001110 0b1000\n",
      "0b1001110 0b1000000\n",
      "0b1001111 0b1\n",
      "0b1001111 0b10\n",
      "0b1001111 0b100\n",
      "0b1001111 0b1000\n",
      "0b1001111 0b1000000\n",
      "0b1010000 0b10000\n",
      "0b1010000 0b1000000\n",
      "0b1010001 0b1\n",
      "0b1010001 0b10000\n",
      "0b1010001 0b1000000\n",
      "0b1010010 0b10\n",
      "0b1010010 0b10000\n",
      "0b1010010 0b1000000\n",
      "0b1010011 0b1\n",
      "0b1010011 0b10\n",
      "0b1010011 0b10000\n",
      "0b1010011 0b1000000\n",
      "0b1010100 0b100\n",
      "0b1010100 0b10000\n",
      "0b1010100 0b1000000\n",
      "0b1010101 0b1\n",
      "0b1010101 0b100\n",
      "0b1010101 0b10000\n",
      "0b1010101 0b1000000\n",
      "0b1010110 0b10\n",
      "0b1010110 0b100\n",
      "0b1010110 0b10000\n",
      "0b1010110 0b1000000\n",
      "0b1010111 0b1\n",
      "0b1010111 0b10\n",
      "0b1010111 0b100\n",
      "0b1010111 0b10000\n",
      "0b1010111 0b1000000\n",
      "0b1011000 0b1000\n",
      "0b1011000 0b10000\n",
      "0b1011000 0b1000000\n",
      "0b1011001 0b1\n",
      "0b1011001 0b1000\n",
      "0b1011001 0b10000\n",
      "0b1011001 0b1000000\n",
      "0b1011010 0b10\n",
      "0b1011010 0b1000\n",
      "0b1011010 0b10000\n",
      "0b1011010 0b1000000\n",
      "0b1011011 0b1\n",
      "0b1011011 0b10\n",
      "0b1011011 0b1000\n",
      "0b1011011 0b10000\n",
      "0b1011011 0b1000000\n",
      "0b1011100 0b100\n",
      "0b1011100 0b1000\n",
      "0b1011100 0b10000\n",
      "0b1011100 0b1000000\n",
      "0b1011101 0b1\n",
      "0b1011101 0b100\n",
      "0b1011101 0b1000\n",
      "0b1011101 0b10000\n",
      "0b1011101 0b1000000\n",
      "0b1011110 0b10\n",
      "0b1011110 0b100\n",
      "0b1011110 0b1000\n",
      "0b1011110 0b10000\n",
      "0b1011110 0b1000000\n",
      "0b1011111 0b1\n",
      "0b1011111 0b10\n",
      "0b1011111 0b100\n",
      "0b1011111 0b1000\n",
      "0b1011111 0b10000\n",
      "0b1011111 0b1000000\n",
      "0b1100000 0b100000\n",
      "0b1100000 0b1000000\n",
      "0b1100001 0b1\n",
      "0b1100001 0b100000\n",
      "0b1100001 0b1000000\n",
      "0b1100010 0b10\n",
      "0b1100010 0b100000\n",
      "0b1100010 0b1000000\n",
      "0b1100011 0b1\n",
      "0b1100011 0b10\n",
      "0b1100011 0b100000\n",
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      "0b11100100 0b100\n",
      "0b11100100 0b100000\n",
      "0b11100100 0b1000000\n",
      "0b11100100 0b10000000\n",
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      "0b11100101 0b100000\n",
      "0b11100101 0b1000000\n",
      "0b11100101 0b10000000\n",
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      "0b11100110 0b100000\n",
      "0b11100110 0b1000000\n",
      "0b11100110 0b10000000\n",
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      "0b11100111 0b100000\n",
      "0b11100111 0b1000000\n",
      "0b11100111 0b10000000\n",
      "0b11101000 0b1000\n",
      "0b11101000 0b100000\n",
      "0b11101000 0b1000000\n",
      "0b11101000 0b10000000\n",
      "0b11101001 0b1\n",
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      "0b11101001 0b100000\n",
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      "0b11101001 0b10000000\n",
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      "0b11101010 0b100000\n",
      "0b11101010 0b1000000\n",
      "0b11101010 0b10000000\n",
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      "0b11101011 0b100000\n",
      "0b11101011 0b1000000\n",
      "0b11101011 0b10000000\n",
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      "0b11101100 0b100000\n",
      "0b11101100 0b1000000\n",
      "0b11101100 0b10000000\n",
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      "0b11101101 0b100000\n",
      "0b11101101 0b1000000\n",
      "0b11101101 0b10000000\n",
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      "0b11101110 0b100000\n",
      "0b11101110 0b1000000\n",
      "0b11101110 0b10000000\n",
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      "0b11101111 0b100000\n",
      "0b11101111 0b1000000\n",
      "0b11101111 0b10000000\n",
      "0b11110000 0b10000\n",
      "0b11110000 0b100000\n",
      "0b11110000 0b1000000\n",
      "0b11110000 0b10000000\n",
      "0b11110001 0b1\n",
      "0b11110001 0b10000\n",
      "0b11110001 0b100000\n",
      "0b11110001 0b1000000\n",
      "0b11110001 0b10000000\n",
      "0b11110010 0b10\n",
      "0b11110010 0b10000\n",
      "0b11110010 0b100000\n",
      "0b11110010 0b1000000\n",
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      "0b11110011 0b100000\n",
      "0b11110011 0b1000000\n",
      "0b11110011 0b10000000\n",
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      "0b11110100 0b10000\n",
      "0b11110100 0b100000\n",
      "0b11110100 0b1000000\n",
      "0b11110100 0b10000000\n",
      "0b11110101 0b1\n",
      "0b11110101 0b100\n",
      "0b11110101 0b10000\n",
      "0b11110101 0b100000\n",
      "0b11110101 0b1000000\n",
      "0b11110101 0b10000000\n",
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      "0b11110110 0b10000\n",
      "0b11110110 0b100000\n",
      "0b11110110 0b1000000\n",
      "0b11110110 0b10000000\n",
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      "0b11110111 0b10000\n",
      "0b11110111 0b100000\n",
      "0b11110111 0b1000000\n",
      "0b11110111 0b10000000\n",
      "0b11111000 0b1000\n",
      "0b11111000 0b10000\n",
      "0b11111000 0b100000\n",
      "0b11111000 0b1000000\n",
      "0b11111000 0b10000000\n",
      "0b11111001 0b1\n",
      "0b11111001 0b1000\n",
      "0b11111001 0b10000\n",
      "0b11111001 0b100000\n",
      "0b11111001 0b1000000\n",
      "0b11111001 0b10000000\n",
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      "0b11111010 0b100000\n",
      "0b11111010 0b1000000\n",
      "0b11111010 0b10000000\n",
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      "0b11111011 0b100000\n",
      "0b11111011 0b1000000\n",
      "0b11111011 0b10000000\n",
      "0b11111100 0b100\n",
      "0b11111100 0b1000\n",
      "0b11111100 0b10000\n",
      "0b11111100 0b100000\n",
      "0b11111100 0b1000000\n",
      "0b11111100 0b10000000\n",
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      "0b11111101 0b1000\n",
      "0b11111101 0b10000\n",
      "0b11111101 0b100000\n",
      "0b11111101 0b1000000\n",
      "0b11111101 0b10000000\n",
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      "0b11111110 0b10000\n",
      "0b11111110 0b100000\n",
      "0b11111110 0b1000000\n",
      "0b11111110 0b10000000\n",
      "0b11111111 0b1\n",
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      "0b11111111 0b100\n",
      "0b11111111 0b1000\n",
      "0b11111111 0b10000\n",
      "0b11111111 0b100000\n",
      "0b11111111 0b1000000\n",
      "0b11111111 0b10000000\n",
      "0b100000000 0b100000000\n",
      "0b100000001 0b1\n",
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      "0b100001000 0b100000000\n",
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      "0b100001001 0b1000\n",
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      "0b100001100 0b1000\n",
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      "0b100100000 0b100000\n",
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      "0b1111101111 0b1000000\n",
      "0b1111101111 0b10000000\n",
      "0b1111101111 0b100000000\n",
      "0b1111101111 0b1000000000\n",
      "0b1111110000 0b10000\n",
      "0b1111110000 0b100000\n",
      "0b1111110000 0b1000000\n",
      "0b1111110000 0b10000000\n",
      "0b1111110000 0b100000000\n",
      "0b1111110000 0b1000000000\n",
      "0b1111110001 0b1\n",
      "0b1111110001 0b10000\n",
      "0b1111110001 0b100000\n",
      "0b1111110001 0b1000000\n",
      "0b1111110001 0b10000000\n",
      "0b1111110001 0b100000000\n",
      "0b1111110001 0b1000000000\n",
      "0b1111110010 0b10\n",
      "0b1111110010 0b10000\n",
      "0b1111110010 0b100000\n",
      "0b1111110010 0b1000000\n",
      "0b1111110010 0b10000000\n",
      "0b1111110010 0b100000000\n",
      "0b1111110010 0b1000000000\n",
      "0b1111110011 0b1\n",
      "0b1111110011 0b10\n",
      "0b1111110011 0b10000\n",
      "0b1111110011 0b100000\n",
      "0b1111110011 0b1000000\n",
      "0b1111110011 0b10000000\n",
      "0b1111110011 0b100000000\n",
      "0b1111110011 0b1000000000\n",
      "0b1111110100 0b100\n",
      "0b1111110100 0b10000\n",
      "0b1111110100 0b100000\n",
      "0b1111110100 0b1000000\n",
      "0b1111110100 0b10000000\n",
      "0b1111110100 0b100000000\n",
      "0b1111110100 0b1000000000\n",
      "0b1111110101 0b1\n",
      "0b1111110101 0b100\n",
      "0b1111110101 0b10000\n",
      "0b1111110101 0b100000\n",
      "0b1111110101 0b1000000\n",
      "0b1111110101 0b10000000\n",
      "0b1111110101 0b100000000\n",
      "0b1111110101 0b1000000000\n",
      "0b1111110110 0b10\n",
      "0b1111110110 0b100\n",
      "0b1111110110 0b10000\n",
      "0b1111110110 0b100000\n",
      "0b1111110110 0b1000000\n",
      "0b1111110110 0b10000000\n",
      "0b1111110110 0b100000000\n",
      "0b1111110110 0b1000000000\n",
      "0b1111110111 0b1\n",
      "0b1111110111 0b10\n",
      "0b1111110111 0b100\n",
      "0b1111110111 0b10000\n",
      "0b1111110111 0b100000\n",
      "0b1111110111 0b1000000\n",
      "0b1111110111 0b10000000\n",
      "0b1111110111 0b100000000\n",
      "0b1111110111 0b1000000000\n",
      "0b1111111000 0b1000\n",
      "0b1111111000 0b10000\n",
      "0b1111111000 0b100000\n",
      "0b1111111000 0b1000000\n",
      "0b1111111000 0b10000000\n",
      "0b1111111000 0b100000000\n",
      "0b1111111000 0b1000000000\n",
      "0b1111111001 0b1\n",
      "0b1111111001 0b1000\n",
      "0b1111111001 0b10000\n",
      "0b1111111001 0b100000\n",
      "0b1111111001 0b1000000\n",
      "0b1111111001 0b10000000\n",
      "0b1111111001 0b100000000\n",
      "0b1111111001 0b1000000000\n",
      "0b1111111010 0b10\n",
      "0b1111111010 0b1000\n",
      "0b1111111010 0b10000\n",
      "0b1111111010 0b100000\n",
      "0b1111111010 0b1000000\n",
      "0b1111111010 0b10000000\n",
      "0b1111111010 0b100000000\n",
      "0b1111111010 0b1000000000\n",
      "0b1111111011 0b1\n",
      "0b1111111011 0b10\n",
      "0b1111111011 0b1000\n",
      "0b1111111011 0b10000\n",
      "0b1111111011 0b100000\n",
      "0b1111111011 0b1000000\n",
      "0b1111111011 0b10000000\n",
      "0b1111111011 0b100000000\n",
      "0b1111111011 0b1000000000\n",
      "0b1111111100 0b100\n",
      "0b1111111100 0b1000\n",
      "0b1111111100 0b10000\n",
      "0b1111111100 0b100000\n",
      "0b1111111100 0b1000000\n",
      "0b1111111100 0b10000000\n",
      "0b1111111100 0b100000000\n",
      "0b1111111100 0b1000000000\n",
      "0b1111111101 0b1\n",
      "0b1111111101 0b100\n",
      "0b1111111101 0b1000\n",
      "0b1111111101 0b10000\n",
      "0b1111111101 0b100000\n",
      "0b1111111101 0b1000000\n",
      "0b1111111101 0b10000000\n",
      "0b1111111101 0b100000000\n",
      "0b1111111101 0b1000000000\n",
      "0b1111111110 0b10\n",
      "0b1111111110 0b100\n",
      "0b1111111110 0b1000\n",
      "0b1111111110 0b10000\n",
      "0b1111111110 0b100000\n",
      "0b1111111110 0b1000000\n",
      "0b1111111110 0b10000000\n",
      "0b1111111110 0b100000000\n",
      "0b1111111110 0b1000000000\n",
      "0b1111111111 0b1\n",
      "0b1111111111 0b10\n",
      "0b1111111111 0b100\n",
      "0b1111111111 0b1000\n",
      "0b1111111111 0b10000\n",
      "0b1111111111 0b100000\n",
      "0b1111111111 0b1000000\n",
      "0b1111111111 0b10000000\n",
      "0b1111111111 0b100000000\n",
      "0b1111111111 0b1000000000\n"
     ]
    }
   ],
   "source": [
    "for j in range(1,1<<10):\n",
    "    for i in range(10):\n",
    "        if j & (1 << i):\n",
    "            print(bin(j),bin(1<<i))\n",
    "        #print(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'0b100'"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a=4\n",
    "bin(a)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'0b10000'"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bin(a<<2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "16"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a<<2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3.9.13 64-bit",
   "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": "3.9.13"
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  "orig_nbformat": 4,
  "vscode": {
   "interpreter": {
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 },
 "nbformat": 4,
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}