The Moon
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 262144/262144 K (Java/Others)Total Submission(s): 361 Accepted Submission(s): 132
Special Judge
Problem Description
The Moon card shows a large, full moon in the night’s sky, positioned between two large towers. The Moon is a symbol of intuition, dreams, and the unconscious. The light of the moon is dim, compared to the sun, and only vaguely illuminates the path to higher consciousness which winds between the two towers.
Random Six is a FPS game made by VBI(Various Bug Institution). There is a gift named "Beta Pack". Mr. K wants to get a beta pack. Here is the rule.
Step 0. Let initial chance rate $q$ = 2%.
Step 1. Player plays a round of the game with winning rate $p%$.
Step 2. If the player wins, then will go to Step 3 else go to Step 4.
Step 3. Player gets a beta pack with probability $q$. If he doesn’t get it, let $q$ = min(100%, $q$ + 2%) and he will go to Step 1.
Step 4. Let $q$ = min(100%, $q$ + 1.5%) and goto Step 1.
Mr. K has winning rate $p$% , he wants to know what’s the expected number of rounds before he needs to play.
Random Six is a FPS game made by VBI(Various Bug Institution). There is a gift named "Beta Pack". Mr. K wants to get a beta pack. Here is the rule.
Step 0. Let initial chance rate $q$ = 2%.
Step 1. Player plays a round of the game with winning rate $p%$.
Step 2. If the player wins, then will go to Step 3 else go to Step 4.
Step 3. Player gets a beta pack with probability $q$. If he doesn’t get it, let $q$ = min(100%, $q$ + 2%) and he will go to Step 1.
Step 4. Let $q$ = min(100%, $q$ + 1.5%) and goto Step 1.
Mr. K has winning rate $p$% , he wants to know what’s the expected number of rounds before he needs to play.
Input
The first line contains testcase number $T$ ($T$ ≤ 100). For each testcase the first line contains an integer $p$ (1 ≤ $p$ ≤ 100).
Output
For each testcase print Case $i$ : and then print the answer in one line, with absolute or relative error not exceeding $10^6$.
Sample Input
2 50 100
Sample Output
Case 1: 12.9933758002 Case 2: 8.5431270393
Source
642ccpc吉林