title: Highway Billboard Problem
signature: def highway_billboard_problem(m, x, revenue, n, t):
test_code: import array
  import bisect
  import collections
  import datetime
  import functools
  import heapq
  import itertools
  import math
  import queue
  import re
  import string
  import sys
  from typing import Any, Dict, List, Optional, Set
  
  
  # SOLUTION CODE
  # ============================================
  PLACEHOLDER_CODE_BODY
  
  # TESTING CODE 
  # ============================================
  def validate_solution(actual, expected):
      return actual == expected
  
  def driver(m, x, revenue, n, t, expected):
      try:
          if validate_solution(PLACEHOLDER_FN_NAME(
              m, x, revenue, n, t),
              expected
          ):
              return "PASSED"
          return "FAILED"
      except Exception as exception_obj:
          return type(exception_obj).__name__
      
  if __name__ == "__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(f"TEST-0...{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(f"TEST-1...{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(f"TEST-2...{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(f"TEST-3...{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(f"TEST-4...{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(f"TEST-5...{result}")
  
      result = driver(2, [16, 38, 72, 82], [15, 34, 56, 74], 2, 3, 0)
      print(f"TEST-6...{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(f"TEST-7...{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(f"TEST-8...{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(f"TEST-9...{result}")
  
      sys.exit(0)
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 ];
  }