Dado el ángulo theta, encuentre un tiempo posible (en formato hh:mm) cuando el ángulo entre la manecilla de la hora y la manecilla del reloj sea theta. Si no existe tal tiempo, imprima -1.
Ejemplos:
Input : theta = 90.0 Output : 3:0
Input : theta = 60.0 Output : 2:0
Hemos discutido cómo encontrar el ángulo para un tiempo dado en la publicación a continuación.
Calcular el ángulo entre la manecilla de hora y la manecilla de minutos
En este problema, se nos pide que hagamos lo contrario. Dado que hay 12 posibilidades para la hora y 60 posibilidades para el minuto, recorremos todo el tiempo posible, que es 12*60 = 720, si el ángulo para cualquier tiempo es igual a theta dado, imprimimos ese tiempo.
C++
// C++ program to find time for a given angle.
#include <bits/stdc++.h>
using namespace std;
// function to find angle between
// hour hand and minute hand
float calcAngle(int hh, int mm)
{
// Calculate the angles moved by hour and
// minute hands with reference to 12:00
float hour_angle = 0.5 * (hh*60 + mm);
float minute_angle = 6*mm;
// Find the difference between two angles
float angle = abs(hour_angle - minute_angle);
// Return the smaller angle of two possible
// angles
angle = min(360-angle, angle);
return angle;
}
// function to print all time when angle between
// hour hand and minute hand is theta
void printTime(float theta)
{
for (int hh=0; hh<12; hh++)
{
for (int mm=0; mm<60; mm++)
{
if (calcAngle(hh, mm)==theta)
{
printf("%d:%d\n", hh, mm);
return;
}
}
}
printf("Input angle not valid.\n");
return;
}
// driver code to test above function
int main()
{
float theta = 90.0;
printTime(theta);
return 0;
}
Java
// Java program to find time
// for a given angle.
class GFG
{
// function to find angle between
// hour hand and minute hand
static float calcAngle(int hh, int mm)
{
// Calculate the angles moved by hour and
// minute hands with reference to 12:00
float hour_angle = 0.5f * (hh * 60 + mm);
float minute_angle = 6 * mm;
// Find the difference between two angles
float angle = Math.abs(hour_angle - minute_angle);
// Return the smaller angle of
// two possible angles
angle = Math.min(360-angle, angle);
return angle;
}
// function to print all time when
// angle between hour hand and minute
// hand is theta
static void printTime(float theta)
{
for (int hh = 0; hh < 12; hh++)
{
for (int mm = 0; mm < 60; mm++)
{
if (calcAngle(hh, mm) == theta)
{
System.out.println(hh + ":" + mm);
return;
}
}
}
System.out.println("Input angle not valid.");
return;
}
// Driver code
public static void main (String[] args)
{
float theta = 90.0f;
printTime(theta);
}
}
// This code is contributed by Anant Agarwal.
Python3
# Python 3 program to find time for a
# given angle.
# function to find angle between
# hour hand and minute hand
def calcAngle(hh, mm):
# Calculate the angles moved by
# hour and minute hands with
# reference to 12:00
hour_angle = 0.5 * (hh * 60 + mm)
minute_angle = 6 * mm
# Find the difference between
# two angles
angle = abs(hour_angle - minute_angle)
# Return the smaller angle of two
# possible angles
angle = min(360 - angle, angle)
return angle
# function to print all time when
# angle between hour hand and minute
# hand is theta
def printTime(theta):
for hh in range(0, 12):
for mm in range(0, 60):
if (calcAngle(hh, mm)==theta):
print(hh, ":", mm, sep = "")
return
print("Input angle not valid.")
return
# driver code to test above function
theta = 90.0
printTime(theta)
# This code is contributed by Smitha
C#
// C# program to find time for a given
// angle.
using System;
class GFG {
// function to find angle between
// hour hand and minute hand
static float calcAngle(int hh, int mm)
{
// Calculate the angles moved by hour
// and minute hands with reference
// to 12:00
float hour_angle = 0.5f * (hh * 60 + mm);
float minute_angle = 6 * mm;
// Find the difference between two angles
float angle = Math.Abs(hour_angle
- minute_angle);
// Return the smaller angle of
// two possible angles
angle = Math.Min(360 - angle, angle);
return angle;
}
// function to print all time when
// angle between hour hand and minute
// hand is theta
static void printTime(float theta)
{
for (int hh = 0; hh < 12; hh++)
{
for (int mm = 0; mm < 60; mm++)
{
if (calcAngle(hh, mm) == theta)
{
Console.WriteLine(hh + ":" + mm);
return;
}
}
}
Console.WriteLine("Input angle not valid.");
return;
}
// Driver code
public static void Main ()
{
float theta = 90.0f;
printTime(theta);
}
}
// This code is contributed by vt_m.
PHP
<?php
// PHP program to find
// time for a given angle.
// Function to find angle between
// hour hand and minute hand
function calcAngle($hh, $mm)
{
// Calculate the angles
// moved by hour and minute
// hands with reference to 12:00
$hour_angle = 0.5 * ($hh * 60 + $mm);
$minute_angle = 6 * $mm;
// Find the difference
// between two angles
$angle = abs($hour_angle -
$minute_angle);
// Return the smaller angle
// of two possible angles
$angle = min(360 - $angle, $angle);
return $angle;
}
// function to print all
// time when angle between
// hour hand and minute
// hand is theta
function printTime( $theta)
{
for ($hh = 0; $hh < 12; $hh++)
{
for ($mm = 0; $mm < 60; $mm++)
{
if (calcAngle($hh, $mm) == $theta)
{
echo $hh, ":", $mm;
return;
}
}
}
echo "Input angle not valid.\n";
return;
}
// Driver Code
$theta = 90.0;
printTime($theta);
// This code is contributed by anuj_67.
?>
Javascript
<script>
// JavaScript program to find
// time for a given angle.
// function to find angle between
// hour hand and minute hand
function calcAngle(hh, mm)
{
// Calculate the angles moved by hour and
// minute hands with reference to 12:00
var hour_angle = 0.5 * (hh * 60 + mm);
var minute_angle = 6 * mm;
// Find the difference between two angles
var angle = Math.abs(hour_angle - minute_angle);
// Return the smaller angle of two possible
// angles
angle = Math.min(360 - angle, angle);
return angle;
}
// function to print all time
// when angle between
// hour hand and minute hand is theta
function printTime(theta) {
for (var hh = 0; hh < 12; hh++)
{
for (var mm = 0; mm < 60; mm++)
{
if (calcAngle(hh, mm) === theta)
{
document.write(hh + ":" + mm + "<br>");
return;
}
}
}
document.write("Input angle not valid.<br>");
return;
}
// driver code to test above function
var theta = 90.0;
printTime(theta);
</script>
Producción :
3:0
Complejidad de Tiempo : O(1)
Espacio Auxiliar : O(1)
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Artículo escrito por GeeksforGeeks-1 y traducido por Barcelona Geeks. The original can be accessed here. Licence: CCBY-SA