# Back-Story

Every day I travel on the freeway.

When I am more bored than usual I sometimes like to play the following counting game I made up:

* As I join the freeway my count is ```0```
* Add ```1``` for every car that I overtake
* Subtract ```1``` for every car that overtakes me
* Stop counting when I reach my exit

What an easy game! What fun!

# Kata Task

You will be given
* The distance to my exit (km)
* How fast I am going (kph)
* Information about a lot of other cars 
 * Their time (relative to me) as I join the freeway. For example,
   * ```-1.5``` means they already passed my starting point ```1.5``` minutes ago
   * ```2.2``` means they will pass my starting point ```2.2``` minutes from now
 * How fast they are going (kph)

Find what is my "score" as I exit the freeway!

# Notes

* Assume all cars travel at a constant speeds

 Safety Warning 

If you plan to play this "game" remember that it is not really a game. You are in a **real** car.

There may be a temptation to try to beat your previous best score.

Please don't do that...

```python

USER_FILENAME = "<user_code>"
import sys, json, builtins
import math, heapq, bisect, itertools, functools, collections, statistics, fractions, decimal, operator, array, random, re, string, os, pathlib
try:
    import resource as _res
except Exception:
    _res = None
from collections import Counter, defaultdict, deque, OrderedDict
from functools import lru_cache, reduce
from itertools import accumulate, permutations, combinations, product
from math import gcd, ceil, floor, sqrt
from decimal import Decimal
try:
    from typing import *
except Exception:
    pass
try:
    sys.setrecursionlimit(1_000_000)
except Exception:
    pass
try:
    import site as _site
    try:
        _sys_sites = _site.getsitepackages() if hasattr(_site, "getsitepackages") else []
        for _p in _sys_sites:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
    try:
        _usp = _site.getusersitepackages()
        if isinstance(_usp, str):
            _usp = [_usp]
        for _p in _usp:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
except Exception:
    pass

def _disabled_input(*args, **kwargs):
    raise RuntimeError("input() is disabled in callable mode")
builtins.input = _disabled_input

ns = {"__name__": "__judge__"}  # prevent if __name__ == "__main__" blocks
for _k, _v in list(globals().items()):
    if not _k.startswith("_"):
        ns[_k] = _v
_CODE = 'def freeway_game(dist_km_to_exit, my_speed, other_cars):\n    count = 0\n    for (other_start_minute, other_speed) in other_cars:\n        if other_speed == my_speed:\n            continue\n        other_start_time = other_start_minute / 60\n        passing_point = (\n            (other_start_time * my_speed * other_speed) /\n            (other_speed - my_speed)\n        )\n        if 0 < passing_point < dist_km_to_exit:\n            if my_speed > other_speed:\n                count += 1\n            else:\n                count -= 1  \n    return count'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'freeway_game'
if _fn_name:
    if "Solution" in ns:
        try:
            _obj = ns["Solution"]()
            if hasattr(_obj, _fn_name):
                _target = getattr(_obj, _fn_name)
        except Exception:
            _target = None
    if _target is None and _fn_name in ns and callable(ns[_fn_name]):
        _target = ns[_fn_name]
# Fallback: if there's exactly one user-defined function, use it
if _target is None:
    _cands = [v for k, v in ns.items() if callable(v) and getattr(v, "__module__", "") in ("__judge__", "__main__")]
    _user_funcs = [c for c in _cands if getattr(c, "__name__", "").startswith("_") is False]
    if len(_user_funcs) == 1:
        _target = _user_funcs[0]
if _target is None:
    raise RuntimeError(f"Could not resolve callable '{_fn_name}'")

_raw = sys.stdin.read().strip()
if _raw:
    _parsed = json.loads(_raw)
    if isinstance(_parsed, dict):
        _kwargs = _parsed.get("kwargs", {})
        _args = _parsed.get("args", [])
    else:
        _args, _kwargs = _parsed, {}
else:
    _args, _kwargs = [], {}
if not isinstance(_args, (list, tuple)):
    _args = [_args]
_res = _target(*_args, **_kwargs)
try:
    sys.stdout.write(repr(_res) + "\n")
except Exception:
    pass

```

Measured memory_bytes: 5588