如果 a+b+c=1000，且 a^2+b^2=c^2（a,b,c 為自然數），如何求出所有a、b、c可能的組合?Java/JavaScript/C/Python耗時對比

 

如果 a+b+c=1000，且 a^2+b^2=c^2（a,b,c 為自然數），如何求出所有a、b、c可能的組合?

不考慮算法優化，十億次循環計算判斷 Java/JavaScript/C/Python 多次測試耗時對比。

 

Java

單次總耗時957毫秒

import java.util.Date;


public class algorithm {
    public static void main(String[] args) {
        long start  = new Date().getTime();
        for (int a = 0; a < 1001; a++) {
            for (int b = 0; b < 1001; b++) {
                for (int c = 0; c < 1001; c++) {
                    if (a + b + c == 1000 && a*a + b*b == c*c){
                        System.out.print(a + " ");
                        System.out.print(b + " ");
                        System.out.print(c + " ");
                        System.out.println(new Date().getTime() - start);
                    }
                }
            }
        }
        System.out.println(new Date().getTime() - start);
    }
}
/*
單位毫秒
0 500 500 3
200 375 425 192
375 200 425 434
500 0 500 524
957
*/

 

JavaScript

單次總耗時1707毫秒

start = new Date().getTime();
// console.log(start)
for (let a = 0; a < 1001; a++) {
    for (let b = 0; b < 1001; b++) {
        for (let c = 0; c < 1001; c++) {
            if (a+b+c == 1000 && a*a + b*b == c*c){
                end = new Date().getTime();
                console.log(a, b, c , end-start);  
            }
        }
    }
}
console.log(new Date().getTime()-start);  // 1708
/*
0 500 500 4
200 375 425 310
375 200 425 624
500 0 500 841
1707
*/

 

C

單次總耗時2744毫秒，比較意外

#include <stdio.h>
#include <time.h>


int main ()
{
    clock_t       start,   finish;   
    double       elapsed_time;
    
    start=clock();

    int a, b, c;
    for (a=0; a<1001; a++){
        for (b=0; b<1001; b++){
            for (c=0; c<1001; c++){
                if (a+b+c == 1000 && a*a + b*b == c*c){
                    finish=clock();   
                    printf("%d %d %d %d\n", a, b, c, finish);
                }
            }
        }
    }
    finish = clock();   
    printf("%d \n", finish);
    return 0;
}
/*
0 500 500 1
200 375 425 546
375 200 425 1019
500 0 500 1360
2744
*/

 

Python

單次總耗時132秒

import time


start = time.time()
for a in range(1001):
    for b in range(1001):
        for c in range(1001):
            if a + b + c == 1000 and a ** 2 + b ** 2 == c ** 2:
                print(a, b, c, time.time()-start)

print(time.time()- start)

"""
0 500 500 0.06199979782104492
200 375 425 25.329999685287476
375 200 425 49.39399981498718
500 0 500 66.0019998550415
132.76599979400635
"""

 

優化后的Pyhton

0.24秒

import math
import time


start = time.time()
for c in range(int(math.sqrt(2) * 1000 - 1000), 1001):
    for a in range(1001 - c):
        b = 1000 - a - c
        if a + b + c == 1000 and a ** 2 + b ** 2 == c ** 2:
            print(a, b, c, time.time()-start)

print(time.time()- start)
"""
200 375 425 0.007999897003173828
375 200 425 0.01900005340576172
0 500 500 0.07599997520446777
500 0 500 0.0819997787475586
0.23999977111816406
"""