A heat wave is a prolonged period of excessively hot weather. While definitions vary, heat waves are always measured relative to the usual weather in the area and relative to normal temperatures for the season. Temperatures that people from a hotter climate consider normal can be termed a heat wave in a cooler area if they are outside the normal climate pattern for that area. For example, the KMI1 (Belgium) and the KNMI2 (the Netherlands) define a heat wave as a period of at least five consecutive days in which the maximum temperature is at least 25 °C (summer days), provided that on at least three days in this period the maximum temperature is at least 30 °C (tropical days). Temperatures are measured one and a half meters above ground level in a so-called Stevenson screen3.

heat wave
The dog days of summer are the hot, sultry days of summer. They were historically the period following the heliacal rising of the star system Sirius, which Hellenistic astrology connected with heat, drought, sudden thunderstorms, lethargy, fever, mad dogs, and bad luck. They are now taken to be the hottest, most uncomfortable part of summer in the Northern Hemisphere.

In common usage, however, people tend to use the term heat wave for periods that do no strictly meet the above criteria. Below are two fictional examples of a real heat wave (left) and a warm period that is not officially accounted as a heat wave (right).

date maximum temperature
July 12 24.7 °C
July 13 25.1 °C
July 14 28.9 °C
July 15 31.0 °C
July 16 28.6 °C
July 17 30.6 °C
July 18 32.4 °C
July 19 23.0 °C
date maximum temperature
August 9 26.0 °C
August 10 24.1 °C
August 11 29.4 °C
August 12 32.8 °C
August 13 34.0 °C
August 14 25.5 °C
August 15 20.1 °C
August 16 19.0 °C

Input

A sequence of floating point numbers, each on a separate line. These numbers represent the maximum temperatures measured in a Stevenson screen over a period of consecutive days. The sequence ends with a line that contains the word stop.

Output

The text heat wave if at least one heat wave was observed during the given period according to the definition of the KMI and KNMI, or the text no heat wave otherwise.

Example

Input:

24.7
25.1
28.9
31.0
28.6
30.6
32.4
23.0
stop

Output:

heat wave

Example

Input:

26.0
24.1
29.4
32.8
34.0
25.5
20.1
19.0
stop

Output:

no heat wave

Epilogue

A blast of hot air passed from south to north through portions of New Ulm and Renville County last Sunday evening. It lasted only a minute or two, but so intense was the heat that people rushed out of their houses believing them to be on fire.

— Minneapolis Tribune, July 10, 1879