import math


lookup_dict = {
  "balmag04": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 600.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 427.0
  },
  "utlmag01": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 600.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 446.0
  },
  "utlmag02": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 600.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 486.0
  },
  "utlmag03": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 600.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 492.0
  },
  "utlmag04": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 600.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 414.0
  },
  "mnpmag03": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 600.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 494.0
  },
  "duemag01": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 600.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 488.0
  },
  "trv01": {
    "data_type": "int", "valid_min": 1.0, "valid_max": 24.0, "default_treatment_type": "unk", "observed_cap_min_value": 1.0, "observed_cap_max_value": 24.0
  },
  "trv02": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 12.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 12.0
  },
  "index01": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 999.0
  },
  "index02": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 999.0
  },
  "rvlr75": {
    "data_type": "float", "valid_min": 0.0, "valid_max": 5.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 5.0
  },
  "rvlr77": {
    "data_type": "float", "valid_min": 0.0, "valid_max": 5.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 5.0
  },
  "rev12": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 109.0
  },
  "rev13": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 82.0
  },
  "rev14": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 56.0
  },
  "rev54": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 9.0
  },
  "rev84": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 23.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 23.0
  },
  "bkc14": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 47.0
  },
  "bkc84": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 23.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 23.0
  },
  "ret12": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 42.0
  },
  "evtg04": {
    "data_type": "int", "valid_min": 300.0, "valid_max": 850.0, "default_treatment_type": "unk", "observed_cap_min_value": 300.0, "observed_cap_max_value": 845.0
  },
  "rev201": {
    "data_type": "float", "valid_min": 0.0, "valid_max": 50.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 50.0
  },
  "rev202": {
    "data_type": "float", "valid_min": 0.0, "valid_max": 50.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 50.0
  },
  "rev203": {
    "data_type": "float", "valid_min": 0.0, "valid_max": 50.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 50.0
  },
  "rev223": {
    "data_type": "float", "valid_min": 0.0, "valid_max": 50.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 49.0
  },
  "rev224": {
    "data_type": "float", "valid_min": 0.0, "valid_max": 50.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 47.0
  },
  "rev225": {
    "data_type": "float", "valid_min": 0.0, "valid_max": 50.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 45.0
  },
  "walshr02": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 2.0
  },
  "rev231": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 1000000000.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 18101.0
  },
  "rev232": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 1000000000.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 38963.0
  },
  "rev233": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 1000000000.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 68709.0
  },
  "rev252": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 1000000000.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 13988.0
  },
  "rev253": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 1000000000.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 12347.0
  },
  "all231": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 1000000000.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 38949.0
  },
  "at28a": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 1000000000.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 1330166.0
  },
  "at28b": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 1000000000.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 351273.0
  },
  "at36s": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 999.0
  },
  "bc20s": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 510.0
  },
  "bc21s": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 190.0
  },
  "bc28s": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 1000000000.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 205768.0
  },
  "bc36s": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 999.0
  },
  "bc97a": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 1000000000.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 184747.0
  },
  "bc98a": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 1000000000.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 186395.0
  },
  "bc102s": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 1000000000.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 31000.0
  },
  "bc104s": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 99.0
  },
  "bc107s": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 15.0
  },
  "br20s": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 495.0
  },
  "fi21s": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 162.0
  },
  "fi34s": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 100.0
  },
  "fi35s": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 1000000000.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 70016.0
  },
  "g051s": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 50.0
  },
  "g102s": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 23.0
  },
  "g105s": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 23.0
  },
  "g201a": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 1000000000.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 255142.0
  },
  "g221d": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 1.0
  },
  "g232s": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 21.0
  },
  "g250a": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 13.0
  },
  "g960s": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 17.0
  },
  "g990s": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 10.0
  },
  "mt20s": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 261.0
  },
  "mt34s": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 101.0
  },
  "pb28s": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 1000000000.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 192100.0
  },
  "pb34s": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 100.0
  },
  "re28s": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 1000000000.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 311518.0
  },
  "re36s": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 999.0
  },
  "re102s": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 1000000000.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 41750.0
  },
  "s004s": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 179.0
  },
  "s114s": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 5.0
  },
  "st32s": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 1000000000.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 221686.0
  },
  "g106s": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 590.0
  },
  "g242b": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 3.0
  },
  "us21s": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 153.0
  },
  "us34s": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 101.0
  },
  "g403s": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 5.0
  },
  "g405s": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 3.0
  },
  "g408s": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 3.0
  },
  "g411s": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 8.0
  },
  "g416s": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 23.0
  },
  "g417s": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 23.0
  },
  "agg901": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 3.0
  },
  "agg902": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 3.0
  },
  "agg908": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 1000000000.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 69376.0
  },
  "agg911": {
    "data_type": "float", "valid_min": 0.0, "valid_max": 10000.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 107.0
  },
  "rle904": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 1000000000.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 309634.0
  },
  "p02d": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 99.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 3.0
  },
  "p02h": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 99.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 7.0
  },
  "balmag01": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 600.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 474.0
  },
  "balmag02": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 600.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 516.0
  },
  "cv13": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 100.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 50.0
  },
  "cv17": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 9.0
  },
  "cv21": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 1000000000.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 171153.0
  },
  "cv25": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 100.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 33.0
  },
  "ct319": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 98.0
  },
  "ct320": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 52.0
  },
  "cta11": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 71.0
  },
  "cta20": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 45.0
  },
  "cta21": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 999.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 148.0
  },
  "paymnt08": {
    "data_type": "float", "valid_min": 0.0, "valid_max": 50.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 50.0
  },
  "rev321": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 1000000000.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 234408.0
  },
  "rev322": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 1000000000.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 219698.0
  },
  "bkc321": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 1000000000.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 171024.0
  },
  "bkc322": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 1000000000.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 162590.0
  },
  "bkc323": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 1000000000.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 152068.0
  },
  "bkc324": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 1000000000.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 136763.0
  },
  "bkc327": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 1000000000.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 171143.0
  },
  "bkc328": {
    "data_type": "int", "valid_min": 0.0, "valid_max": 1000000000.0, "default_treatment_type": "unk", "observed_cap_min_value": 0.0, "observed_cap_max_value": 164352.0
  },
  "eads66": {
    "data_type": "float", "valid_min": 300.0, "valid_max": 850.0, "default_treatment_type": "unk", "observed_cap_min_value": 300.0, "observed_cap_max_value": 820.0
  }
}


# 1. Pre-processing: type casting and variable treatment
def pre_processing(input_dict):
    processed = {}
    for var, cfg in lookup_dict.items():
        val = input_dict.get(var)
        # Cast to required type
        try:
            if cfg.get("data_type") == "int":
                val = int(val)
            elif cfg.get("data_type") == "float":
                val = float(val)
        except (ValueError, TypeError):
            val = None
        # Variable treatment
        vmin = cfg.get("valid_min")
        vmax = cfg.get("valid_max")
        if val is not None and not (math.isnan(vmin) or math.isnan(vmax)):
            if cfg.get("default_treatment_type") == "unk":
                if val < vmin or val > vmax:
                    val = float("nan")
            cmin = cfg.get("observed_cap_min_value")
            cmax = cfg.get("observed_cap_max_value")
            if not math.isnan(val):
                if cmin is not None and vmin <= val < cmin:
                    val = cmin
                if cmax is not None and cmax < val <= vmax:
                    val = cmax
        processed[var] = val
    return processed