#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;
#define int ll
int N;
ld X[maxn],Y[maxn];
ld A[maxn],B[maxn];
bool equal(ld a,ld b){
if (abs(a - b) < 0.000001) return 1;
else return 0;
}
int32_t 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 || !equal(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 (!equal(round(B[i]),B[i]) || (ll)round(B[i]) % 2 != 0 || B[i] < 0 || !equal(round(A[i]),A[i])){
cout<<"No";
return 0;
}
B[i] = round(B[i]);
A[i] = round(A[i]);
}
bool done = 0;
while (!done){
done = 1;
FOR(i,0,N-1){
ll send = (ll(min(X[i],B[i])) / 2) * 2;
if (send > 0) done = 0;
B[i] -= send;
X[i] -= send;
X[(i+1) % N] += send / 2;
}
}
FOR(i,0,N-1){
if (X[i] != Y[i]){
cout<<"No";
return 0;
}
}
cout<<"Yes";
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
5 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 |
5 ms |
384 KB |
Output is correct |
6 |
Correct |
5 ms |
384 KB |
Output is correct |
7 |
Correct |
5 ms |
384 KB |
Output is correct |
8 |
Correct |
5 ms |
384 KB |
Output is correct |
9 |
Correct |
4 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 |
4 ms |
384 KB |
Output is correct |
15 |
Correct |
4 ms |
384 KB |
Output is correct |
16 |
Correct |
4 ms |
384 KB |
Output is correct |
17 |
Correct |
5 ms |
384 KB |
Output is correct |
18 |
Correct |
5 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 |
4 ms |
384 KB |
Output is correct |
23 |
Correct |
5 ms |
384 KB |
Output is correct |
24 |
Correct |
4 ms |
384 KB |
Output is correct |
25 |
Correct |
4 ms |
384 KB |
Output is correct |
26 |
Correct |
4 ms |
384 KB |
Output is correct |
27 |
Correct |
4 ms |
384 KB |
Output is correct |
28 |
Correct |
5 ms |
384 KB |
Output is correct |
29 |
Correct |
5 ms |
384 KB |
Output is correct |
30 |
Correct |
4 ms |
384 KB |
Output is correct |
31 |
Correct |
4 ms |
384 KB |
Output is correct |
32 |
Correct |
4 ms |
384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
5 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 |
5 ms |
384 KB |
Output is correct |
6 |
Correct |
5 ms |
384 KB |
Output is correct |
7 |
Correct |
5 ms |
384 KB |
Output is correct |
8 |
Correct |
5 ms |
384 KB |
Output is correct |
9 |
Correct |
4 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 |
4 ms |
384 KB |
Output is correct |
15 |
Correct |
4 ms |
384 KB |
Output is correct |
16 |
Correct |
4 ms |
384 KB |
Output is correct |
17 |
Correct |
5 ms |
384 KB |
Output is correct |
18 |
Correct |
5 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 |
4 ms |
384 KB |
Output is correct |
23 |
Correct |
5 ms |
384 KB |
Output is correct |
24 |
Correct |
4 ms |
384 KB |
Output is correct |
25 |
Correct |
4 ms |
384 KB |
Output is correct |
26 |
Correct |
4 ms |
384 KB |
Output is correct |
27 |
Correct |
4 ms |
384 KB |
Output is correct |
28 |
Correct |
5 ms |
384 KB |
Output is correct |
29 |
Correct |
5 ms |
384 KB |
Output is correct |
30 |
Correct |
4 ms |
384 KB |
Output is correct |
31 |
Correct |
4 ms |
384 KB |
Output is correct |
32 |
Correct |
4 ms |
384 KB |
Output is correct |
33 |
Correct |
5 ms |
384 KB |
Output is correct |
34 |
Correct |
4 ms |
384 KB |
Output is correct |
35 |
Correct |
4 ms |
384 KB |
Output is correct |
36 |
Correct |
5 ms |
384 KB |
Output is correct |
37 |
Correct |
5 ms |
384 KB |
Output is correct |
38 |
Correct |
5 ms |
384 KB |
Output is correct |
39 |
Correct |
5 ms |
384 KB |
Output is correct |
40 |
Correct |
5 ms |
384 KB |
Output is correct |
41 |
Correct |
5 ms |
384 KB |
Output is correct |
42 |
Correct |
5 ms |
384 KB |
Output is correct |
43 |
Correct |
5 ms |
384 KB |
Output is correct |
44 |
Correct |
5 ms |
384 KB |
Output is correct |
45 |
Correct |
4 ms |
384 KB |
Output is correct |
46 |
Correct |
4 ms |
384 KB |
Output is correct |
47 |
Correct |
4 ms |
384 KB |
Output is correct |
48 |
Correct |
5 ms |
384 KB |
Output is correct |
49 |
Correct |
4 ms |
384 KB |
Output is correct |
50 |
Correct |
5 ms |
384 KB |
Output is correct |
51 |
Correct |
5 ms |
384 KB |
Output is correct |
52 |
Correct |
5 ms |
384 KB |
Output is correct |
53 |
Correct |
5 ms |
384 KB |
Output is correct |
54 |
Correct |
4 ms |
384 KB |
Output is correct |
55 |
Correct |
5 ms |
384 KB |
Output is correct |
56 |
Correct |
5 ms |
384 KB |
Output is correct |
57 |
Correct |
4 ms |
384 KB |
Output is correct |
58 |
Correct |
5 ms |
384 KB |
Output is correct |
59 |
Correct |
4 ms |
384 KB |
Output is correct |
60 |
Correct |
5 ms |
384 KB |
Output is correct |
61 |
Correct |
4 ms |
384 KB |
Output is correct |
62 |
Correct |
4 ms |
384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
5 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 |
5 ms |
384 KB |
Output is correct |
6 |
Correct |
5 ms |
384 KB |
Output is correct |
7 |
Correct |
5 ms |
384 KB |
Output is correct |
8 |
Correct |
5 ms |
384 KB |
Output is correct |
9 |
Correct |
4 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 |
4 ms |
384 KB |
Output is correct |
15 |
Correct |
4 ms |
384 KB |
Output is correct |
16 |
Correct |
4 ms |
384 KB |
Output is correct |
17 |
Correct |
5 ms |
384 KB |
Output is correct |
18 |
Correct |
5 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 |
4 ms |
384 KB |
Output is correct |
23 |
Correct |
5 ms |
384 KB |
Output is correct |
24 |
Correct |
4 ms |
384 KB |
Output is correct |
25 |
Correct |
4 ms |
384 KB |
Output is correct |
26 |
Correct |
4 ms |
384 KB |
Output is correct |
27 |
Correct |
4 ms |
384 KB |
Output is correct |
28 |
Correct |
5 ms |
384 KB |
Output is correct |
29 |
Correct |
5 ms |
384 KB |
Output is correct |
30 |
Correct |
4 ms |
384 KB |
Output is correct |
31 |
Correct |
4 ms |
384 KB |
Output is correct |
32 |
Correct |
4 ms |
384 KB |
Output is correct |
33 |
Correct |
5 ms |
384 KB |
Output is correct |
34 |
Correct |
4 ms |
384 KB |
Output is correct |
35 |
Correct |
4 ms |
384 KB |
Output is correct |
36 |
Correct |
5 ms |
384 KB |
Output is correct |
37 |
Correct |
5 ms |
384 KB |
Output is correct |
38 |
Correct |
5 ms |
384 KB |
Output is correct |
39 |
Correct |
5 ms |
384 KB |
Output is correct |
40 |
Correct |
5 ms |
384 KB |
Output is correct |
41 |
Correct |
5 ms |
384 KB |
Output is correct |
42 |
Correct |
5 ms |
384 KB |
Output is correct |
43 |
Correct |
5 ms |
384 KB |
Output is correct |
44 |
Correct |
5 ms |
384 KB |
Output is correct |
45 |
Correct |
4 ms |
384 KB |
Output is correct |
46 |
Correct |
4 ms |
384 KB |
Output is correct |
47 |
Correct |
4 ms |
384 KB |
Output is correct |
48 |
Correct |
5 ms |
384 KB |
Output is correct |
49 |
Correct |
4 ms |
384 KB |
Output is correct |
50 |
Correct |
5 ms |
384 KB |
Output is correct |
51 |
Correct |
5 ms |
384 KB |
Output is correct |
52 |
Correct |
5 ms |
384 KB |
Output is correct |
53 |
Correct |
5 ms |
384 KB |
Output is correct |
54 |
Correct |
4 ms |
384 KB |
Output is correct |
55 |
Correct |
5 ms |
384 KB |
Output is correct |
56 |
Correct |
5 ms |
384 KB |
Output is correct |
57 |
Correct |
4 ms |
384 KB |
Output is correct |
58 |
Correct |
5 ms |
384 KB |
Output is correct |
59 |
Correct |
4 ms |
384 KB |
Output is correct |
60 |
Correct |
5 ms |
384 KB |
Output is correct |
61 |
Correct |
4 ms |
384 KB |
Output is correct |
62 |
Correct |
4 ms |
384 KB |
Output is correct |
63 |
Correct |
720 ms |
64260 KB |
Output is correct |
64 |
Correct |
401 ms |
66936 KB |
Output is correct |
65 |
Correct |
824 ms |
64248 KB |
Output is correct |
66 |
Correct |
416 ms |
66808 KB |
Output is correct |
67 |
Correct |
564 ms |
68500 KB |
Output is correct |
68 |
Correct |
593 ms |
70764 KB |
Output is correct |
69 |
Correct |
862 ms |
64504 KB |
Output is correct |
70 |
Correct |
402 ms |
66804 KB |
Output is correct |
71 |
Correct |
514 ms |
68344 KB |
Output is correct |
72 |
Correct |
559 ms |
70648 KB |
Output is correct |
73 |
Correct |
738 ms |
64248 KB |
Output is correct |
74 |
Correct |
426 ms |
66936 KB |
Output is correct |
75 |
Correct |
464 ms |
68216 KB |
Output is correct |
76 |
Correct |
502 ms |
70628 KB |
Output is correct |
77 |
Correct |
739 ms |
64248 KB |
Output is correct |
78 |
Correct |
681 ms |
74616 KB |
Output is correct |
79 |
Correct |
611 ms |
74496 KB |
Output is correct |
80 |
Correct |
728 ms |
74584 KB |
Output is correct |
81 |
Correct |
683 ms |
74616 KB |
Output is correct |
82 |
Correct |
471 ms |
67064 KB |
Output is correct |
83 |
Correct |
380 ms |
35576 KB |
Output is correct |
84 |
Correct |
328 ms |
66936 KB |
Output is correct |
85 |
Correct |
856 ms |
64248 KB |
Output is correct |
86 |
Correct |
826 ms |
64192 KB |
Output is correct |
87 |
Correct |
707 ms |
75640 KB |
Output is correct |
88 |
Correct |
756 ms |
75656 KB |
Output is correct |