QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#200023 | #5141. Identical Parity | PHarr# | WA | 11ms | 3608kb | C++20 | 1.8kb | 2023-10-04 15:07:44 | 2023-10-04 15:07:44 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define int long long
using vi = vector<int>;
using db = long double;
constexpr int inf = 1E18;
int exgcd(int a, int b, int &x, int &y) {
if (b == 0) {
x = 1, y = 0;
return a;
}
int d = exgcd(b, a % b, x, y);
int z = x;
x = y;
y = z - y * (a / b);
return d;
}
//int n , k = 11;
void solve() {
int n, k;
cin >> n >> k;
// cout << n << " : ";
if (n == k and n == 1) {
cout << "Yes\n";
return;
}
if (k % 2 == 0) {
cout << "Yes\n";
return;
}
if (n > k * 10) {
cout << "No\n";
return;
}
if (k == 1) {
cout << "No\n";
return;
}
int a = n / k, b = (n + k - 1) / k, c = n / 2, x0, y0, d;
d = exgcd(a, b, x0, y0);
if (c % d != 0) {
cout << "No\n";
return;
}
int x = c / d * x0, y = c / d * y0, dx = b / d, dy = a / d;
{
int kk = (-x) / dx;
x = x + kk * dx, y = y - kk * dy;
}
for (; y >= 0; x += dx, y -= dy) {
if (x < 0) continue;
if (n % k != 0 and x + y <= k and x <= k - n % k and y <= n % k) {
// cout << a << " * " << x << " + " << b << " * " << y << " = " << c << "\n";
cout << "Yes\n";
return;
} else if (n % k == 0 and x + y <= k and min(x, y) == 0) {
// cout << a << " * " << x << " + " << b << " * " << y << " = " << c << "\n";
cout << "Yes\n";
return;
}
}
cout << "No\n";
return;
}
int32_t main() {
ios::sync_with_stdio(false), cin.tie(nullptr);
int TC;
// n = k;
for (cin >> TC; TC; TC--)
solve();
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 1ms
memory: 3372kb
input:
3 3 1 4 2 5 3
output:
No Yes Yes
result:
ok 3 token(s): yes count is 2, no count is 1
Test #2:
score: -100
Wrong Answer
time: 11ms
memory: 3608kb
input:
100000 1 1 2 1 2 2 3 1 3 2 3 3 4 1 4 2 4 3 4 4 5 1 5 2 5 3 5 4 5 5 6 1 6 2 6 3 6 4 6 5 6 6 7 1 7 2 7 3 7 4 7 5 7 6 7 7 8 1 8 2 8 3 8 4 8 5 8 6 8 7 8 8 9 1 9 2 9 3 9 4 9 5 9 6 9 7 9 8 9 9 10 1 10 2 10 3 10 4 10 5 10 6 10 7 10 8 10 9 10 10 11 1 11 2 11 3 11 4 11 5 11 6 11 7 11 8 11 9 11 10 11 11 12 1 ...
output:
Yes No Yes No Yes Yes No Yes Yes Yes No Yes Yes Yes Yes No Yes No Yes Yes Yes No Yes Yes Yes Yes Yes Yes No Yes No Yes Yes Yes Yes Yes No Yes No Yes Yes Yes Yes Yes Yes No Yes No Yes No Yes Yes Yes Yes Yes No Yes No Yes Yes Yes Yes Yes Yes Yes Yes No Yes No Yes Yes Yes Yes Yes Yes Yes Yes Yes No Yes...
result:
wrong answer expected YES, found NO [19720th token]