QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#756863 | #5141. Identical Parity | PHarr | WA | 11ms | 3728kb | C++23 | 1.2kb | 2024-11-16 22:20:16 | 2024-11-16 22:20:16 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
using i32 = int32_t;
using i64 = long long;
#define int i64
using vi = vector<int>;
using pii = pair<int, int>;
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, y, x);
y -= a / b * x;
return d;
}
void solve() {
int n, k;
cin >> n >> k;
if(k % 2 == 0) {
cout << "Yes\n";
return ;
}
int m = (n + 1) / 2;
int a = (n + k - 1) / k, b = n / k;
int p = n % k, q = k - p; // p is max x, q is max y
int x, y;
int d = exgcd(a, b, x, y);
if (m % d != 0) {
cout << "No\n";
return;
}
x = x * m / d, y = y * m / d;
int dx = b / d, dy = a / d;
while(x >= dx) x -= dx, y += dy;
while(x < 0) x += dx, y -= dy;
while (x <= q) {
if(x + y > k) continue;
if (0 <= y and y <= q) {
cout << "Yes\n";
return;
}
x += dx, y -= dy;
}
cout << "No\n";
return;
}
i32 main() {
std::ios::sync_with_stdio(false);
std::cin.tie(nullptr);
int T;
cin >> T;
while (T--)
solve();
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3728kb
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: 3660kb
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 No 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 [41st token]