#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int MN = 1e6+35;
const int MOD = 1e9+7;
ll A[MN],B[MN],C[MN],F[MN],k[30];
void impos()
{
cout << "No";
exit(0);
}
int main()
{
ios_base::sync_with_stdio(0),cin.tie(0);
int N;
cin >> N;
for(int i=0; i<N; i++) cin >> A[i] >> B[i];
k[0] = 1;
for(int i=1; i<30; i++){
k[i] = k[i-1]*2;
}
for(int i=N-1; i>=0; i--){
for(int j=0; j<30; j++){
if(abs(A[i]-B[i])&k[j]){
if(A[i]>B[i]) F[i+j+1]++;
else F[i+j+1]--;
}
}
}
for(int i=0; i<N+29; i++){
if(F[i]>=0){
F[i+1] += F[i]/2;
F[i]%=2;
}
else{
F[i+1] -= (1-F[i])/2;
F[i]=(-F[i])%2;
}
}
if(F[N+29]<0) impos();
for(int i=N+29; i>=N; i--){
F[i-N] += F[i];
C[N-1] += F[i]*k[i-N];
F[i] = 0;
}
for(int t=0; t<5; t++){
for(int i=0; i<N; i++){
F[i+1] += F[i]/2;
F[i]%=2;
}
F[0] += F[N];
C[N-1] += F[N];
F[N] = 0;
}
F[0]++;
for(int i=0; i<N; i++){
F[i+1] += F[i]/2;
F[i]%=2;
}
ll sum = 0;
for(int i=0; i<=N; i++){
sum += F[i];
}
if(F[N]) C[N-1]++;
if(sum!=1) impos();
if(!F[0]&&!F[N]) impos();
if(C[N-1]%2) impos();
for(int i=0; i<N-1; i++){
C[i] = A[i]-B[i]+C[(i+N-1)%N]/2;
if(C[i]<0||C[i]%2) impos();
}
for(int t=0; t<3; t++){
for(int i=0; i<N; i++){
ll x = min(C[i]/2,A[i]/2)*2;
A[i] -= x;
A[(i+1)%N] += x/2;
C[i] -= x;
}
}
for(int i=0; i<N; i++) if(A[i]!=B[i]) impos();
cout << "Yes";
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
0 ms |
384 KB |
Output is correct |
3 |
Correct |
1 ms |
384 KB |
Output is correct |
4 |
Correct |
0 ms |
384 KB |
Output is correct |
5 |
Correct |
1 ms |
384 KB |
Output is correct |
6 |
Correct |
0 ms |
384 KB |
Output is correct |
7 |
Correct |
0 ms |
384 KB |
Output is correct |
8 |
Correct |
0 ms |
384 KB |
Output is correct |
9 |
Correct |
0 ms |
384 KB |
Output is correct |
10 |
Correct |
0 ms |
384 KB |
Output is correct |
11 |
Correct |
0 ms |
384 KB |
Output is correct |
12 |
Correct |
0 ms |
384 KB |
Output is correct |
13 |
Correct |
1 ms |
384 KB |
Output is correct |
14 |
Correct |
0 ms |
384 KB |
Output is correct |
15 |
Correct |
1 ms |
384 KB |
Output is correct |
16 |
Correct |
0 ms |
384 KB |
Output is correct |
17 |
Correct |
0 ms |
384 KB |
Output is correct |
18 |
Correct |
0 ms |
384 KB |
Output is correct |
19 |
Correct |
1 ms |
384 KB |
Output is correct |
20 |
Correct |
0 ms |
384 KB |
Output is correct |
21 |
Correct |
0 ms |
384 KB |
Output is correct |
22 |
Correct |
0 ms |
384 KB |
Output is correct |
23 |
Correct |
0 ms |
384 KB |
Output is correct |
24 |
Correct |
1 ms |
384 KB |
Output is correct |
25 |
Correct |
1 ms |
384 KB |
Output is correct |
26 |
Correct |
1 ms |
384 KB |
Output is correct |
27 |
Correct |
0 ms |
384 KB |
Output is correct |
28 |
Correct |
0 ms |
384 KB |
Output is correct |
29 |
Correct |
0 ms |
384 KB |
Output is correct |
30 |
Correct |
0 ms |
384 KB |
Output is correct |
31 |
Correct |
0 ms |
384 KB |
Output is correct |
32 |
Correct |
0 ms |
384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
0 ms |
384 KB |
Output is correct |
3 |
Correct |
1 ms |
384 KB |
Output is correct |
4 |
Correct |
0 ms |
384 KB |
Output is correct |
5 |
Correct |
1 ms |
384 KB |
Output is correct |
6 |
Correct |
0 ms |
384 KB |
Output is correct |
7 |
Correct |
0 ms |
384 KB |
Output is correct |
8 |
Correct |
0 ms |
384 KB |
Output is correct |
9 |
Correct |
0 ms |
384 KB |
Output is correct |
10 |
Correct |
0 ms |
384 KB |
Output is correct |
11 |
Correct |
0 ms |
384 KB |
Output is correct |
12 |
Correct |
0 ms |
384 KB |
Output is correct |
13 |
Correct |
1 ms |
384 KB |
Output is correct |
14 |
Correct |
0 ms |
384 KB |
Output is correct |
15 |
Correct |
1 ms |
384 KB |
Output is correct |
16 |
Correct |
0 ms |
384 KB |
Output is correct |
17 |
Correct |
0 ms |
384 KB |
Output is correct |
18 |
Correct |
0 ms |
384 KB |
Output is correct |
19 |
Correct |
1 ms |
384 KB |
Output is correct |
20 |
Correct |
0 ms |
384 KB |
Output is correct |
21 |
Correct |
0 ms |
384 KB |
Output is correct |
22 |
Correct |
0 ms |
384 KB |
Output is correct |
23 |
Correct |
0 ms |
384 KB |
Output is correct |
24 |
Correct |
1 ms |
384 KB |
Output is correct |
25 |
Correct |
1 ms |
384 KB |
Output is correct |
26 |
Correct |
1 ms |
384 KB |
Output is correct |
27 |
Correct |
0 ms |
384 KB |
Output is correct |
28 |
Correct |
0 ms |
384 KB |
Output is correct |
29 |
Correct |
0 ms |
384 KB |
Output is correct |
30 |
Correct |
0 ms |
384 KB |
Output is correct |
31 |
Correct |
0 ms |
384 KB |
Output is correct |
32 |
Correct |
0 ms |
384 KB |
Output is correct |
33 |
Correct |
0 ms |
384 KB |
Output is correct |
34 |
Correct |
1 ms |
640 KB |
Output is correct |
35 |
Correct |
1 ms |
384 KB |
Output is correct |
36 |
Correct |
1 ms |
384 KB |
Output is correct |
37 |
Correct |
1 ms |
384 KB |
Output is correct |
38 |
Correct |
0 ms |
384 KB |
Output is correct |
39 |
Correct |
0 ms |
384 KB |
Output is correct |
40 |
Correct |
1 ms |
384 KB |
Output is correct |
41 |
Correct |
0 ms |
384 KB |
Output is correct |
42 |
Correct |
0 ms |
384 KB |
Output is correct |
43 |
Correct |
1 ms |
384 KB |
Output is correct |
44 |
Correct |
0 ms |
384 KB |
Output is correct |
45 |
Correct |
1 ms |
384 KB |
Output is correct |
46 |
Correct |
0 ms |
384 KB |
Output is correct |
47 |
Correct |
0 ms |
384 KB |
Output is correct |
48 |
Correct |
0 ms |
384 KB |
Output is correct |
49 |
Correct |
0 ms |
384 KB |
Output is correct |
50 |
Correct |
1 ms |
288 KB |
Output is correct |
51 |
Correct |
0 ms |
384 KB |
Output is correct |
52 |
Correct |
0 ms |
384 KB |
Output is correct |
53 |
Correct |
0 ms |
384 KB |
Output is correct |
54 |
Correct |
0 ms |
384 KB |
Output is correct |
55 |
Correct |
0 ms |
384 KB |
Output is correct |
56 |
Correct |
1 ms |
384 KB |
Output is correct |
57 |
Correct |
1 ms |
384 KB |
Output is correct |
58 |
Correct |
0 ms |
384 KB |
Output is correct |
59 |
Correct |
0 ms |
384 KB |
Output is correct |
60 |
Correct |
0 ms |
384 KB |
Output is correct |
61 |
Correct |
1 ms |
384 KB |
Output is correct |
62 |
Correct |
0 ms |
384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
0 ms |
384 KB |
Output is correct |
3 |
Correct |
1 ms |
384 KB |
Output is correct |
4 |
Correct |
0 ms |
384 KB |
Output is correct |
5 |
Correct |
1 ms |
384 KB |
Output is correct |
6 |
Correct |
0 ms |
384 KB |
Output is correct |
7 |
Correct |
0 ms |
384 KB |
Output is correct |
8 |
Correct |
0 ms |
384 KB |
Output is correct |
9 |
Correct |
0 ms |
384 KB |
Output is correct |
10 |
Correct |
0 ms |
384 KB |
Output is correct |
11 |
Correct |
0 ms |
384 KB |
Output is correct |
12 |
Correct |
0 ms |
384 KB |
Output is correct |
13 |
Correct |
1 ms |
384 KB |
Output is correct |
14 |
Correct |
0 ms |
384 KB |
Output is correct |
15 |
Correct |
1 ms |
384 KB |
Output is correct |
16 |
Correct |
0 ms |
384 KB |
Output is correct |
17 |
Correct |
0 ms |
384 KB |
Output is correct |
18 |
Correct |
0 ms |
384 KB |
Output is correct |
19 |
Correct |
1 ms |
384 KB |
Output is correct |
20 |
Correct |
0 ms |
384 KB |
Output is correct |
21 |
Correct |
0 ms |
384 KB |
Output is correct |
22 |
Correct |
0 ms |
384 KB |
Output is correct |
23 |
Correct |
0 ms |
384 KB |
Output is correct |
24 |
Correct |
1 ms |
384 KB |
Output is correct |
25 |
Correct |
1 ms |
384 KB |
Output is correct |
26 |
Correct |
1 ms |
384 KB |
Output is correct |
27 |
Correct |
0 ms |
384 KB |
Output is correct |
28 |
Correct |
0 ms |
384 KB |
Output is correct |
29 |
Correct |
0 ms |
384 KB |
Output is correct |
30 |
Correct |
0 ms |
384 KB |
Output is correct |
31 |
Correct |
0 ms |
384 KB |
Output is correct |
32 |
Correct |
0 ms |
384 KB |
Output is correct |
33 |
Correct |
0 ms |
384 KB |
Output is correct |
34 |
Correct |
1 ms |
640 KB |
Output is correct |
35 |
Correct |
1 ms |
384 KB |
Output is correct |
36 |
Correct |
1 ms |
384 KB |
Output is correct |
37 |
Correct |
1 ms |
384 KB |
Output is correct |
38 |
Correct |
0 ms |
384 KB |
Output is correct |
39 |
Correct |
0 ms |
384 KB |
Output is correct |
40 |
Correct |
1 ms |
384 KB |
Output is correct |
41 |
Correct |
0 ms |
384 KB |
Output is correct |
42 |
Correct |
0 ms |
384 KB |
Output is correct |
43 |
Correct |
1 ms |
384 KB |
Output is correct |
44 |
Correct |
0 ms |
384 KB |
Output is correct |
45 |
Correct |
1 ms |
384 KB |
Output is correct |
46 |
Correct |
0 ms |
384 KB |
Output is correct |
47 |
Correct |
0 ms |
384 KB |
Output is correct |
48 |
Correct |
0 ms |
384 KB |
Output is correct |
49 |
Correct |
0 ms |
384 KB |
Output is correct |
50 |
Correct |
1 ms |
288 KB |
Output is correct |
51 |
Correct |
0 ms |
384 KB |
Output is correct |
52 |
Correct |
0 ms |
384 KB |
Output is correct |
53 |
Correct |
0 ms |
384 KB |
Output is correct |
54 |
Correct |
0 ms |
384 KB |
Output is correct |
55 |
Correct |
0 ms |
384 KB |
Output is correct |
56 |
Correct |
1 ms |
384 KB |
Output is correct |
57 |
Correct |
1 ms |
384 KB |
Output is correct |
58 |
Correct |
0 ms |
384 KB |
Output is correct |
59 |
Correct |
0 ms |
384 KB |
Output is correct |
60 |
Correct |
0 ms |
384 KB |
Output is correct |
61 |
Correct |
1 ms |
384 KB |
Output is correct |
62 |
Correct |
0 ms |
384 KB |
Output is correct |
63 |
Correct |
435 ms |
23772 KB |
Output is correct |
64 |
Correct |
248 ms |
31608 KB |
Output is correct |
65 |
Correct |
472 ms |
31684 KB |
Output is correct |
66 |
Correct |
275 ms |
31608 KB |
Output is correct |
67 |
Correct |
254 ms |
31736 KB |
Output is correct |
68 |
Correct |
305 ms |
31736 KB |
Output is correct |
69 |
Correct |
467 ms |
31608 KB |
Output is correct |
70 |
Correct |
206 ms |
23800 KB |
Output is correct |
71 |
Correct |
229 ms |
23928 KB |
Output is correct |
72 |
Correct |
283 ms |
23956 KB |
Output is correct |
73 |
Correct |
485 ms |
23796 KB |
Output is correct |
74 |
Correct |
210 ms |
26268 KB |
Output is correct |
75 |
Correct |
229 ms |
24824 KB |
Output is correct |
76 |
Correct |
278 ms |
25464 KB |
Output is correct |
77 |
Correct |
440 ms |
24056 KB |
Output is correct |
78 |
Correct |
431 ms |
31624 KB |
Output is correct |
79 |
Correct |
401 ms |
23800 KB |
Output is correct |
80 |
Correct |
424 ms |
31736 KB |
Output is correct |
81 |
Correct |
391 ms |
23928 KB |
Output is correct |
82 |
Correct |
225 ms |
31608 KB |
Output is correct |
83 |
Correct |
173 ms |
23800 KB |
Output is correct |
84 |
Correct |
226 ms |
31736 KB |
Output is correct |
85 |
Correct |
497 ms |
31736 KB |
Output is correct |
86 |
Correct |
464 ms |
23800 KB |
Output is correct |
87 |
Correct |
297 ms |
31736 KB |
Output is correct |
88 |
Correct |
297 ms |
31736 KB |
Output is correct |