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gahui and sousenkyo 3

Time limit1sMemory limit512 MB

Summary
Given preliminary votes p and final votes r, print the character's type (weak, normal, strong, or very strong) based on the ratio p/r.
Level

Easy1 of 10

Topics
Implementation, Math
Solved
No attempts yet

Problem

Gahui is watching the annual character election. After the election, the top 16 characters receive large benefits for one year. For that reason, fans vote passionately to get their favorite characters into the top 16. At least one Cinderella appears in every election, a character who reaches the top 16 with an outstanding result.

Election results are announced twice: a preliminary result and a final result. For character xx:

  • Character xx got pxp_x votes in the preliminary result.
  • Character xx got rxr_x votes in the final result.

vxv_x is defined as px/rxp_x / r_x. The type of character xx is determined by the value of vxv_x.

  • If vx<0.2v_x < 0.2, the type of character xx is weak.
  • If 0.2≤vx<0.40.2 \le v_x < 0.4, the type of character xx is normal.
  • If 0.4≤vx<0.60.4 \le v_x < 0.6, the type of character xx is strong.
  • If 0.6≤vx0.6 \le v_x, the type of character xx is very strong.

Given the preliminary and final results of character xx, print the type of character xx.

Input

The input is one line with two integers pxp_x and rxr_x, separated by a space.

Output

Print the type of character xx.

Constraints

  • 1≤px≤60 0001 \le p_x \le 60\,000
  • 1≤rx≤250 0001 \le r_x \le 250\,000
  • px≤rxp_x \le r_x

Hint

Who can foresee such an unexpected outcome when the final result deviates significantly from the preliminary result?

Examples3

  1. Example 1

    Input
    19 100
    
    Expected output
    weak
    
  2. Example 2

    Input
    16 80
    
    Expected output
    normal
    
  3. Example 3

    Input
    1884 4710
    
    Expected output
    strong