DCP-470: The Two Giants Back to All Problems

Medium Math > Probability/Expected Value


Background ----- This is a story for kids. The Two Giants live in a part of the world where everything is perfect and they are the best of friends … until they quarrel. Then their beautiful world becomes dark and miserable. What will it take for them to become friends again? Problem ----- Giant-1 had born in a **leap year** and Giant-2 had born in a year which is **not a leap year**. Now they will meet after they solve this simple math. What is the probability that their **N** th birthday is a leap year? Input ------ Input starts with an integer **T (T <= 1000)**, denoting the number of test cases. Each case contains an integer **N (1990 ≤ N ≤ 10^18)** denoting which birthday they are interested in. Output ------- For each case of input, output the case number and two values (the probability of Giant-1's Nth birthday is a leap year and Giant-2's Nth birthday is a leap year) in a seperate line. Print the values rounded to **6th** decimal place. Sample Input ------------ 2 10 12 Sample Output ------------- Case 1: 0.000000 0.320132 Case 2: 0.969072 0.009901


Problem Setter:

Feroz Ahmmed

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Problem Limits

Language Time Limit (seconds)
C 1.00
C++ 1.00
C++14 1.00
C# 2.00
Go 2.00
Java 2.00
JavaScript 2.00
Objective-C 2.00
Perl 2.00
PHP 2.00
Python 2.00
Python3 2.00
Ruby 2.00
VB.Net 2.00

Problem Stats

13/29

Solve/Submission

Ranking

# User Language Timing
01 Trumen Cpp 0.00s
02 _c_k_r_ Cpp 0.01s
03 showmic Cpp14 0.01s
04 mh755628 Cpp 0.01s
05 Morass Cpp14 0.01s
06 Tahmid Cpp14 0.02s
07 njrafi Cpp 0.02s
08 muradhossen Cpp14 0.04s
09 SbrTa Cpp14 0.05s
10 PKP_007 Cpp 0.93s
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