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41 lines
1.1 KiB
41 lines
1.1 KiB
#include <bits/stdc++.h>
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using namespace std;
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typedef long long LL;
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LL n, d, e;
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// p^2 -(n-e*d+2)p+n = 0
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bool check(LL num) { //判断num是否时完全平方数
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LL t = LL(sqrt(num));
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return t * t == num;
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}
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int main() {
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int k;
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cin >> k;
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while (k--) {
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cin >> n >> d >> e;
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LL b = e * d - n - 2;
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LL a = 1, c = n;
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//一元二次方程无解的情况
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if (b * b < 4 * a * c) {
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puts("NO");
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continue;
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}
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LL t = b * b - 4 * a * c; // t需要是一个完全平方数
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bool flag = false;
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if (check(t) && (LL(-b + sqrt(t)) % (2 * a) == 0)) {
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LL p = (-b - sqrt(t)) / (2 * a); //两个解，一个是+，另一个就是-，小的在前就是-,大的在后就是+
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//所以这里将符号变了一下
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LL q = n / p;
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if (p) { // p是正整数,0或负数需要否掉
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flag = true;
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printf("%lld %lld\n", p, q);
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}
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}
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if (!flag) puts("NO");
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}
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return 0;
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}
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