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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#756987 | #5141. Identical Parity | frankly6 | WA | 6ms | 3712kb | C++17 | 1.8kb | 2024-11-16 23:16:47 | 2024-11-16 23:16:48 |
Judging History
answer
#include<iostream>
#include<cstdio>
#define int long long
using namespace std;
const int MX=100050;
int T, N, K;
int read()
{
int r=0, f=1; char ch=getchar();
while(ch<'0'||ch>'9') {if(ch=='-') f=-1; ch=getchar();}
while(ch>='0'&&ch<='9') {r=r*10+ch-'0'; ch=getchar();}
return r*f;
}
int exgcd(int a, int b, int &x, int &y)
{
if(b==0){x=1, y=0; return a;}
else{int tmp; int d=exgcd(b,a%b,tmp,x); y=tmp-a/b*x; return d;}
}
signed main()
{
// freopen("testdata.in","r",stdin);
T=read();
while(T--)
{
N=read(), K=read();
if(K%2==0||N==1) cout << "Yes\n";
else
{
int tx, ty;
int a=N/K+1, b=N/K, c=N/2;
int la=N%K, lb=K-N%K;
int d=exgcd(a,b,tx,ty);
if(c%d) {cout << "No\n"; continue;}
a/=d; b/=d; c/=d;
tx=tx*(c%b)%b;
if(tx<0) tx+=b;
ty=(c-a*tx)/b;
if(ty<0||tx>la) {cout << "No\n"; continue;}
// cout << "a=" << a << ", b=" << b << ", c=" << c << ", x=" << tx << ", y=" << ty << '\n';
int L1=-tx*a, R1=(N%K-tx)*a, L2=(N%K+ty-K)*b, R2=ty*b;
// cout << "L1=" << L1 << ", R1=" << R1 << ", L2=" << L2 << ", R2=" << R2 << '\n';
if(L1>R2||R1<L2) {cout << "No\n"; continue;}
if(R1-L1<a*b&&R1/a/b==L1/a/b&&L1%(a*b)) {cout << "No\n"; continue;}
if(R2-L2<a*b&&R2/a/b==L2/a/b&&L2%(a*b)) {cout << "No\n"; continue;}
if(R1>R2&&R2/a/b!=L1/a/b) cout << "Yes\n";
else if(R1/a/b!=L2/a/b) cout << "Yes\n";
else cout << "No\n";
}
}
return (0-0);
}
/*
n/k full length k parts
n-n/k :(n/k+1 same parity)
k-(n-n/k) :(n/k same parity)
n/2 : even
n-n/2 : odd
\det <= 1
*/
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3712kb
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: 6ms
memory: 3636kb
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 No 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 No Yes Yes Yes Yes Yes Yes No Yes No Yes Yes Yes Yes Yes Yes Yes Yes Yes No Yes N...
result:
wrong answer expected YES, found NO [24th token]