Java程序从二维平面中的原点到达形状点(d,0)所需的给定长度的跳跃次数
给定三个正整数a、b和d 。您当前位于无限二维坐标平面上的原点 (0, 0)。您可以在 2D 平面上的任意点上以欧几里得距离跳跃,距离当前位置等于a或b 。任务是找到从 (0, 0) 到达 (d, 0) 所需的最小跳跃次数。
例子:
Input : a = 2, b = 3, d = 1
Output : 2
First jump of length a = 2, (0, 0) -> (1/2, √15/2)
Second jump of length a = 2, (1/2, √15/2) -> (1, 0)
Thus, only two jump are required to reach
(1, 0) from (0, 0).
Input : a = 3, b = 4, d = 11
Output : 3
(0, 0) -> (4, 0) using length b = 4
(4, 0) -> (8, 0) using length b = 4
(8, 0) -> (11, 0) using length a = 3
// Java code to find the minimum number
// of jump required to reach
// (d, 0) from (0, 0).
import java.io.*;
class GFG {
// Return the minimum jump of length either a or b
// required to reach (d, 0) from (0, 0).
static int minJumps(int a, int b, int d)
{
// Assigning maximum of a and b to b
// and assigning minimum of a and b to a.
int temp = a;
a = Math.min(a, b);
b = Math.max(temp, b);
// if d is greater than or equal to b.
if (d >= b)
return (d + b - 1) / b;
// if d is 0
if (d == 0)
return 0;
// if d is equal to a.
if (d == a)
return 1;
// else make triangle, and only 2
// steps required.
return 2;
}
// Driver code
public static void main(String[] args)
{
int a = 3, b = 4, d = 11;
System.out.println(minJumps(a, b, d));
}
}
// This code is contributed by vt_m
输出:
3
有关更多详细信息,请参阅完整文章关于给定长度从二维平面中的原点到达形状点 (d, 0) 所需的跳跃次数!