title: Highway Billboard Problem
signature: function highway_billboard_problem(m, x, revenue, n, t)
test_code: 
  
  -- SOLUTION CODE
  -- ============================================
  PLACEHOLDER_CODE_BODY
  
  -- TESTING CODE 
  -- ============================================
  function isCorrect(actual, expected)
      if type(expected) ~= type(actual) then
          return false
      end
      
      if type(expected) == 'table' then
          for k,v_expected in pairs(expected) do
              
              if actual[k] == nil then
                  return false
              end
              local v_actual = actual[k]
              if not isCorrect(v_actual, v_expected) then
                  return false
              end
              actual[k]=nil
          end
      
          if next(actual) then 
              return false
          end
          return true
      else
          return actual == expected
      end
  end
  
  function validateSolution(actual, expected)
      return isCorrect(actual,expected)
  end
  
  function driver(m, x, revenue, n, t, expected)
      local exec_result;
      local status, error_msg = pcall(function () 
          exec_result=PLACEHOLDER_FN_NAME(m, x, revenue, n, t) 
      end)
      if status then
          if validateSolution(exec_result,expected) then
              return "PASSED"
          end
          return "FAILED"
      else
          return string.format("ERROR=%s",string.gsub(error_msg,".*:[%d]+: ",""))
      end
  end
      
  function main()
      result = driver(16, {6, 15, 15, 18, 23, 29, 32, 36, 37, 39, 40, 41, 44, 49, 51, 52, 53, 57, 66, 68, 82, 89, 96}, {1, 2, 5, 5, 24, 26, 31, 32, 33, 41, 57, 59, 71, 75, 79, 87, 87, 88, 92, 94, 96, 96, 99}, 12, 12, 2)
      print(string.format("TEST-0...%s",result))
  
      result = driver(39, {76, 60, 88, 46, -20, -78, -22, 54, -18, 92, -42, -66, -90, -72, -48, 22, -72, -42, -46, 94, 82, -78, 14, 86, 10, -64, -78, 66, 78, -36, 50, -20, -40, -12, 10, -46, 56, -18, 4, -76, -64, 74, 22, 34, 4, -2}, {28, 8, -60, 84, 68, -54, -56, 0, -68, -84, -6, 92, -80, -24, 86, -6, -44, 82, 74, 90, -46, 40, 62, 50, -42, 38, 78, 94, 46, -14, -48, 66, 70, 52, 10, -88, 54, -10, 98, 34, 16, -2, -62, -56, -40, 86}, 25, 27, 0)
      print(string.format("TEST-1...%s",result))
  
      result = driver(5, {0, 0, 0, 1, 1, 1, 1, 1, 1, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1, 1}, 9, 6, 0)
      print(string.format("TEST-2...%s",result))
  
      result = driver(10, {21, 69, 30, 10, 71, 72, 71, 78, 30, 9, 72, 10, 7, 87, 30, 46, 56, 74, 73, 60, 86}, {72, 45, 7, 30, 76, 35, 75, 72, 4, 7, 55, 56, 7, 52, 48, 27, 11, 76, 66, 48, 33}, 18, 20, 0)
      print(string.format("TEST-3...%s",result))
  
      result = driver(14, {-76, -76, -66, -64, -62, -60, -52, -48, -42, -28, -14, -6, -6, 16, 20, 20, 38, 46, 58, 60, 70, 72, 86, 98}, {-90, -82, -78, -76, -74, -52, -48, -44, -44, -40, -38, -14, -6, 10, 20, 38, 38, 40, 44, 48, 52, 54, 76, 78}, 15, 17, 0)
      print(string.format("TEST-4...%s",result))
  
      result = driver(32, {1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1}, {0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1}, 28, 36, 0)
      print(string.format("TEST-5...%s",result))
  
      result = driver(2, {16, 38, 72, 82}, {15, 34, 56, 74}, 2, 3, 0)
      print(string.format("TEST-6...%s",result))
  
      result = driver(22, {28, -76, 42, -2, 30, -10, 52, 66, 26, 96, 96, -72, 26, -86, -30, -78, 32, -32, 58, 12, -72, 8, 34, -68, -28, -66}, {68, -38, 34, 20, 40, 78, 52, 80, 58, -12, -18, 10, 40, 34, 20, -32, -8, -46, 8, 62, 94, -30, -94, 26, -40, 64}, 13, 16, 0)
      print(string.format("TEST-7...%s",result))
  
      result = driver(15, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}, 25, 15, 0)
      print(string.format("TEST-8...%s",result))
  
      result = driver(8, {95, 12, 65, 97, 92, 49, 94, 32, 37, 97, 9, 35}, {25, 32, 14, 49, 90, 37, 92, 1, 8, 75, 50, 9}, 9, 8, 0)
      print(string.format("TEST-9...%s",result))
  
  end
  
  main()
source_py: def highway_billboard_problem(m, x, revenue, n, t):
      maxRev = ([0] * (m + 1))
      nxtbb = 0
      for i in range(1, (m + 1)):
          if (nxtbb < n):
              if (x[nxtbb] != i):
                  maxRev[i] = maxRev[(i - 1)]
              else:
                  if (i <= t):
                      maxRev[i] = max(maxRev[(i - 1)], revenue[nxtbb])
                  else:
                      maxRev[i] = max((maxRev[((i - t) - 1)] + revenue[nxtbb]), maxRev[(i - 1)])
                  nxtbb += 1
          else:
              maxRev[i] = maxRev[(i - 1)]
      return maxRev[m]
source_cpp: int highway_billboard_problem(int m, vector<int> x, vector<int> revenue, int n, int t) {
    int maxRev [ m + 1 ];
    memset ( maxRev, 0, sizeof ( maxRev ) );
    int nxtbb = 0;
    for ( int i = 1;
    i <= m;
    i ++ ) {
      if ( nxtbb < n ) {
        if ( x [ nxtbb ] != i ) maxRev [ i ] = maxRev [ i - 1 ];
        else {
          if ( i <= t ) maxRev [ i ] = max ( maxRev [ i - 1 ], revenue [ nxtbb ] );
          else maxRev [ i ] = max ( maxRev [ i - t - 1 ] + revenue [ nxtbb ], maxRev [ i - 1 ] );
          nxtbb ++;
        }
      }
      else maxRev [ i ] = maxRev [ i - 1 ];
    }
    return maxRev [ m ];
  }