Calculate the IST : Indian Standard Time
Given two integer H and R where H is the time in hours at a place X and R is the distance in degrees from place X to India, the task is to find the current time in IST.
UTC (Coordinated Universal Time) is a 24-hour time standard that is used to synchronize world clocks.
Examples:
Input: H = 24, R = 82.50
Output: IST = 5:30
IST = (24/360)* 82.50
= 5.5
= 0.5*60 (i.e 60 minute = 360 degree rotation and 1 minute = 6 degree so, 0.5 hour * 60 = 30)
IST = 5:30
Input: H = 20, R = 150
Output: IST = 8:20
Approach:
- It is known that 1 hour = 60 minute = 360 degree rotation.
- 1 degree rotation = (1 / 360) hour.
- 2 degree rotation = (1 / 360) * 2 hour.
- So, Generalised formula will be:
IST = UTC + (H / 360) * R (UTC = 0 for IST) IST = ( H / 360 ) * R
The answer will be converted in 0:00 form so int part (hour) and float part in IST are separated and the float part is multiplied by 60 to convert it into minutes.
Below is the implementation of the above approach:
C++
// C++ implementation of the approach #include <cmath> #include <iostream> using namespace std; // Function to calculate Indian Standard Time void cal_IST( int h, float r) { float IST = (h * r * 1.0) / 360; // Separate integer part int int_IST = ( int )IST; // Separate float part and return ceil value int float_IST = ceil ((IST - int_IST) * 60); cout << int_IST << ":" << float_IST; } // Driver code int main() { // Number of hours (1 - 24) int h = 20; // Rotations in degrees float r = 150; cal_IST(h, r); return 0; } |
Java
// Java implementation of the approach import java.math.*; class GFG { // Function to calculate Indian Standard Time public static void cal_IST( int h, double r) { double IST = (h * r * 1.0 ) / 360 ; // Separate integer part int int_IST = ( int )IST; // Separate float part and return ceil value int float_IST = ( int )Math.ceil(( int )((IST - int_IST) * 60 )); System.out.println(int_IST + ":" + float_IST); } // Driver code public static void main(String[] args) { // Number of hours (1 - 24) int h = 20 ; // Rotations in degrees double r = 150 ; cal_IST(h, r); } } // This code is contributed by Naman_Garg |
Python3
# Python3 implementation of the approach from math import ceil # Function to calculate Indian Standard Time def cal_IST(h, r) : IST = round ((h * r * 1.0 ) / 360 , 3 ); # Separate integer part int_IST = int (IST); # Separate float part and return ceil value float_IST = ceil((IST - int_IST) * 60 ); print (int_IST, ":" , float_IST); # Driver code if __name__ = = "__main__" : # Number of hours (1 - 24) h = 20 ; # Rotations in degrees r = 150 ; cal_IST(h, r); # This code is contributed by AnkitRai01 |
C#
// C# implementation of the approach using System; class GFG { // Function to calculate Indian Standard Time public static void cal_IST( int h, double r) { double IST = (h * r * 1.0) / 360; // Separate integer part int int_IST = ( int )IST; // Separate float part and return ceil value int float_IST = ( int )Math.Floor(( double )(IST - int_IST) * 60); Console.WriteLine(int_IST + ":" + float_IST); } // Driver code public static void Main(String[] args) { // Number of hours (1 - 24) int h = 20; // Rotations in degrees double r = 150; cal_IST(h, r); } } // This code is contributed by PrinciRaj1992 |
Javascript
<script> // Javascript implementation of the approach // Function to calculate Indian Standard Time function cal_IST(h, r) { let IST = (h * r * 1.0) / 360; // Separate integer part let int_IST = parseInt(IST); // Separate float part and return ceil value let float_IST = Math.ceil(parseInt((IST - int_IST) * 60)); document.write(int_IST + ":" + float_IST); } // Driver code // Number of hours (1 - 24) let h = 20; // Rotations in degrees let r = 150; cal_IST(h, r); // This code is contributed by subhammahato348. </script> |
8:20
Time Complexity: O(1)
Auxiliary Space: O(1)
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