1758C - Almost All Multiples - CodeForces Solution


greedy number theory *1400

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Python Code:

for _ in range(int(input())):
    n, x = map(int, input().split())
    if n%x: print(-1)
    else:
        v = [0]*(n+1)
        v[1], v[x] = 1, 1
        ans = [0] *(n+1)
        ans[1]=x
        ans[n] = 1
        while x<n:
            for mul in range(x*2, n+1, x):
                if n%mul==0:
                    ans[x] = mul
                    x = mul
                    break
        for i in range(1,len(ans)):
            if ans[i]: print(ans[i], end=' ')
            else: print(i, end=' ')
        print()

C++ Code:

#include<bits/stdc++.h>
#define ll long long
#define pb push_back
using namespace std;

int n, x;

int main(){
	int t;
	cin >> t;
	while (t--) {
		cin >> n >> x;
		vector<int> a(n + 1);
		a[1] = x, a[n] = 1;
		for (int i = 2; i < n; i++) {
			a[i] = i;
		}
		if (x == n) {
			for (int i = 1; i <= n; i++) cout << a[i] << " ";
			cout << "\n";
			continue;
		}
		
		vector<int> divisors;
		int y = n;
		int fl = 0;
		if (y % x == 0) {
			y = y / x;
		}
		else {
			cout << "-1\n";
			continue;
		}
		int lim = sqrt(y), ind = x;
		for (int i = 2; i <= lim + 1; i++) {
			while (y % i == 0) {
				a[ind] = ind * i;
				ind = ind * i;
				y = y / i;
				divisors.pb(i);
			}
		}

		if (y > 1) a[ind] = ind * y;

		for (int i = 1; i <= n; i++) cout << a[i] << " ";
		cout << "\n";



	}
}


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