题目描述

PAT1005 继续(3n+1)猜想 (25 分)_PAT
思路:对每一个输入的数字n进行验证,把验证过的数字对应的arr标记为1,然后对这些输入的数字从大到小排序,输出所有arr=0的数字即为关键数字

C++解法
#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;
int arr[10000];
bool cmp(int a, int b) {return a > b;}
int main() {
    int k, n, flag = 0;
    cin >> k;
    vector<int> v(k);
    for (int i = 0; i < k; i++) {
        cin >> n;
        v[i] = n;
        while (n != 1) {
            if (n % 2 != 0) n = 3 * n + 1;
            n = n / 2;
            if (arr[n] == 1) break;
            arr[n] = 1;
        }
    }
    sort(v.begin(), v.end(), cmp);
    for (int i = 0; i < v.size(); i++) {
        if (arr[v[i]] == 0) {
            if (flag == 1) cout << " ";
            cout << v[i];
            flag = 1;
        }
    }
    return 0;
}

PAT1005 继续(3n+1)猜想 (25 分)_PAT刷题笔记_02

Python解法
def callatz(n):
    t = set()
    while n != 1 :
        t.add(n)
        if n % 2 == 0:
            n /= 2
        else:
            n = (n*3+1)/2
    return t

input()
l = list(map(int,set(input().split())))

ts = set()
tl = []

for i in l:
    ss = callatz(i)
    if ts.issubset(ss):
        ts = ss
        tl = [i]
    elif ts.issuperset(ss):
        continue
    else:
        for j in tl:
            if callatz(j).issubset(ss):
                tl.remove(j)
        ts |= ss
        tl.append(i)

tl = sorted(tl, reverse=True)
print(' '.join(str(x) for x in tl))