#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<ll,ll> pi;
typedef vector <ll> vi;
typedef vector <pi> vpi;
#define f first
#define s second
#define FOR(i,s,e) for(ll i=s;i<=ll(e);++i)
#define DEC(i,s,e) for(ll i=s;i>=ll(e);--i)
#define pb push_back
#define all(x) (x).begin(), (x).end()
#define lbd(x, y) lower_bound(all(x), y)
#define ubd(x, y) upper_bound(all(x), y)
#define aFOR(i,x) for (auto i: x)
#define mem(x,i) memset(x,i,sizeof x)
#define fast ios_base::sync_with_stdio(false),cin.tie(0)
#define maxn 1000001
typedef long double ld;
int N;
ld X[maxn],Y[maxn];
ld A[maxn],B[maxn];
int main(){
fast;
cin>>N;
FOR(i,0,N-1) cin>>X[i]>>Y[i];
int fi=-1;
FOR(i,0,N-1){
if (X[i] - Y[i] >= 0){
fi = i;
break;
}
}
if (fi == -1){
cout<<"No";
return 0;
}
rotate(X,X+fi,X+N);
rotate(Y,Y+fi,Y+N);
B[0] = X[0] - Y[0];
A[1] = (X[0] - Y[0]) / 2;
FOR(i,1,N - 1){
B[i] = X[i] - Y[i] + A[i];
A[(i + 1) % N] = B[i]/2;
}
ld z = - B[0] + A[0] - Y[0] + X[0];
if (z == 0){
FOR(i,0,N-1){
if (ll(B[i]) % 2 != 0 || ll(B[i]) != B[i] || B[i] < 0){
cout<<"No";
return 0;
}
}
cout<<"Yes";
return 0;
}
ld a = 1;
FOR(i,1,N) a /= 2;
ld k = 1/z - (a * (1/z));
k = 1/k;
FOR(i,0,N-1){
B[i] += k;
k /= 2;
}
int num = 0;
FOR(i,0,N-1){
A[i] = B[(i - 1 + N) % N] / 2;
if (ll(B[i]) != B[i] || ll(B[i]) % 2 != 0 || B[i] < 0 || ll(A[i]) != A[i]){
cout<<"No";
return 0;
}
if (X[i] >= B[i]) num++;
if (A[i] + X[i] < B[i]){
cout<<"No";
return 0;
}
}
if (num == 0) cout<<"No";
else cout<<"Yes";
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
5 ms |
384 KB |
Output is correct |
| 2 |
Correct |
4 ms |
384 KB |
Output is correct |
| 3 |
Correct |
4 ms |
384 KB |
Output is correct |
| 4 |
Correct |
5 ms |
384 KB |
Output is correct |
| 5 |
Correct |
4 ms |
384 KB |
Output is correct |
| 6 |
Correct |
4 ms |
384 KB |
Output is correct |
| 7 |
Correct |
5 ms |
384 KB |
Output is correct |
| 8 |
Correct |
4 ms |
256 KB |
Output is correct |
| 9 |
Correct |
5 ms |
384 KB |
Output is correct |
| 10 |
Correct |
5 ms |
384 KB |
Output is correct |
| 11 |
Correct |
5 ms |
384 KB |
Output is correct |
| 12 |
Correct |
4 ms |
384 KB |
Output is correct |
| 13 |
Correct |
5 ms |
384 KB |
Output is correct |
| 14 |
Correct |
5 ms |
384 KB |
Output is correct |
| 15 |
Correct |
4 ms |
384 KB |
Output is correct |
| 16 |
Correct |
5 ms |
384 KB |
Output is correct |
| 17 |
Correct |
5 ms |
384 KB |
Output is correct |
| 18 |
Correct |
4 ms |
384 KB |
Output is correct |
| 19 |
Correct |
5 ms |
384 KB |
Output is correct |
| 20 |
Correct |
4 ms |
384 KB |
Output is correct |
| 21 |
Correct |
4 ms |
384 KB |
Output is correct |
| 22 |
Correct |
5 ms |
384 KB |
Output is correct |
| 23 |
Correct |
5 ms |
384 KB |
Output is correct |
| 24 |
Incorrect |
5 ms |
384 KB |
Output isn't correct |
| 25 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
5 ms |
384 KB |
Output is correct |
| 2 |
Correct |
4 ms |
384 KB |
Output is correct |
| 3 |
Correct |
4 ms |
384 KB |
Output is correct |
| 4 |
Correct |
5 ms |
384 KB |
Output is correct |
| 5 |
Correct |
4 ms |
384 KB |
Output is correct |
| 6 |
Correct |
4 ms |
384 KB |
Output is correct |
| 7 |
Correct |
5 ms |
384 KB |
Output is correct |
| 8 |
Correct |
4 ms |
256 KB |
Output is correct |
| 9 |
Correct |
5 ms |
384 KB |
Output is correct |
| 10 |
Correct |
5 ms |
384 KB |
Output is correct |
| 11 |
Correct |
5 ms |
384 KB |
Output is correct |
| 12 |
Correct |
4 ms |
384 KB |
Output is correct |
| 13 |
Correct |
5 ms |
384 KB |
Output is correct |
| 14 |
Correct |
5 ms |
384 KB |
Output is correct |
| 15 |
Correct |
4 ms |
384 KB |
Output is correct |
| 16 |
Correct |
5 ms |
384 KB |
Output is correct |
| 17 |
Correct |
5 ms |
384 KB |
Output is correct |
| 18 |
Correct |
4 ms |
384 KB |
Output is correct |
| 19 |
Correct |
5 ms |
384 KB |
Output is correct |
| 20 |
Correct |
4 ms |
384 KB |
Output is correct |
| 21 |
Correct |
4 ms |
384 KB |
Output is correct |
| 22 |
Correct |
5 ms |
384 KB |
Output is correct |
| 23 |
Correct |
5 ms |
384 KB |
Output is correct |
| 24 |
Incorrect |
5 ms |
384 KB |
Output isn't correct |
| 25 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
5 ms |
384 KB |
Output is correct |
| 2 |
Correct |
4 ms |
384 KB |
Output is correct |
| 3 |
Correct |
4 ms |
384 KB |
Output is correct |
| 4 |
Correct |
5 ms |
384 KB |
Output is correct |
| 5 |
Correct |
4 ms |
384 KB |
Output is correct |
| 6 |
Correct |
4 ms |
384 KB |
Output is correct |
| 7 |
Correct |
5 ms |
384 KB |
Output is correct |
| 8 |
Correct |
4 ms |
256 KB |
Output is correct |
| 9 |
Correct |
5 ms |
384 KB |
Output is correct |
| 10 |
Correct |
5 ms |
384 KB |
Output is correct |
| 11 |
Correct |
5 ms |
384 KB |
Output is correct |
| 12 |
Correct |
4 ms |
384 KB |
Output is correct |
| 13 |
Correct |
5 ms |
384 KB |
Output is correct |
| 14 |
Correct |
5 ms |
384 KB |
Output is correct |
| 15 |
Correct |
4 ms |
384 KB |
Output is correct |
| 16 |
Correct |
5 ms |
384 KB |
Output is correct |
| 17 |
Correct |
5 ms |
384 KB |
Output is correct |
| 18 |
Correct |
4 ms |
384 KB |
Output is correct |
| 19 |
Correct |
5 ms |
384 KB |
Output is correct |
| 20 |
Correct |
4 ms |
384 KB |
Output is correct |
| 21 |
Correct |
4 ms |
384 KB |
Output is correct |
| 22 |
Correct |
5 ms |
384 KB |
Output is correct |
| 23 |
Correct |
5 ms |
384 KB |
Output is correct |
| 24 |
Incorrect |
5 ms |
384 KB |
Output isn't correct |
| 25 |
Halted |
0 ms |
0 KB |
- |
