// Hallelujah, praise the one who set me free
// Hallelujah, death has lost its grip on me
// You have broken every chain, There's salvation in your name
// Jesus Christ, my living hope
#include <bits/stdc++.h>
using namespace std;
#define REP(i, s, e) for (int i = (s); i < (e); i++)
#define RREP(i, s, e) for (int i = (s); i >= (e); i--)
template <class T>
inline bool mnto(T& a, T b) {return a > b ? a = b, 1 : 0;}
template <class T>
inline bool mxto(T& a, T b) {return a < b ? a = b, 1: 0;}
typedef unsigned long long ull;
typedef long long ll;
typedef long double ld;
#define FI first
#define SE second
typedef pair<int, int> ii;
typedef pair<ll, ll> pll;
typedef tuple<int, int, int> iii;
#define ALL(_a) _a.begin(), _a.end()
#define SZ(_a) (int) _a.size()
#define pb push_back
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<ii> vii;
typedef vector<iii> viii;
#ifndef DEBUG
#define cerr if (0) cerr
#endif
const int INF = 1000000005;
const ll LINF = 1000000000000000005ll;
const int MAXN = 1000005;
const ll MOD = 998244353998244393;
#define submod(x) if (x >= MOD) x -= MOD
int n;
ll a[MAXN], b[MAXN], x[MAXN];
ll fpow(__int128 b, ll p) {
__int128 res = 1;
while (p) {
if (p & 1) {
res = res * b % MOD;
}
b = b * b % MOD;
p >>= 1;
}
return res;
}
int main() {
#ifndef DEBUG
ios::sync_with_stdio(0), cin.tie(0);
#endif
cin >> n;
ll mxa = 0, smb = 0;
REP (i, 0, n) {
cin >> a[i] >> b[i];
mxto(mxa, a[i]);
smb += b[i];
}
bool bad = 0;
REP (i, 0, n) {
if (a[i] != b[i]) {
bad = 1;
break;
}
}
if (!bad) {
cout << "Yes\n";
return 0;
}
if (mxa <= 1 || smb == 0) {
cout << "No\n";
return 0;
}
ll pw = 1;
REP (i, 0, n) {
x[n - 1] += (__int128) (b[i] - a[i] + MOD) * pw % MOD;
submod(x[n - 1]);
pw = pw * 2;
submod(pw);
}
x[n - 1] = (__int128) x[n - 1] * fpow((-pw + 1 + MOD) % MOD, MOD - 2) % MOD;
REP (i, 0, n - 1) {
int prv = i - 1;
if (prv < 0) {
prv += n;
}
x[i] = a[i] - b[i] + x[prv];
if (x[i] % 2 != 0 || x[i] < 0) {
cout << "No\n";
return 0;
}
x[i] /= 2;
}
REP (i, 0, n) {
int prv = i - 1;
if (prv < 0) {
prv += n;
}
if (a[i] - 2 * x[i] + x[prv] != b[i]) {
cout << "No\n";
return 0;
}
}
cout << "Yes\n";
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
0 ms |
464 KB |
Output is correct |
6 |
Correct |
0 ms |
464 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Correct |
0 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
0 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
388 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
0 ms |
340 KB |
Output is correct |
15 |
Correct |
0 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
0 ms |
340 KB |
Output is correct |
18 |
Correct |
0 ms |
340 KB |
Output is correct |
19 |
Correct |
0 ms |
340 KB |
Output is correct |
20 |
Correct |
0 ms |
340 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
0 ms |
340 KB |
Output is correct |
24 |
Correct |
0 ms |
340 KB |
Output is correct |
25 |
Correct |
0 ms |
340 KB |
Output is correct |
26 |
Correct |
0 ms |
340 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
0 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
340 KB |
Output is correct |
31 |
Correct |
0 ms |
340 KB |
Output is correct |
32 |
Correct |
1 ms |
464 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
0 ms |
464 KB |
Output is correct |
6 |
Correct |
0 ms |
464 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Correct |
0 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
0 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
388 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
0 ms |
340 KB |
Output is correct |
15 |
Correct |
0 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
0 ms |
340 KB |
Output is correct |
18 |
Correct |
0 ms |
340 KB |
Output is correct |
19 |
Correct |
0 ms |
340 KB |
Output is correct |
20 |
Correct |
0 ms |
340 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
0 ms |
340 KB |
Output is correct |
24 |
Correct |
0 ms |
340 KB |
Output is correct |
25 |
Correct |
0 ms |
340 KB |
Output is correct |
26 |
Correct |
0 ms |
340 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
0 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
340 KB |
Output is correct |
31 |
Correct |
0 ms |
340 KB |
Output is correct |
32 |
Correct |
1 ms |
464 KB |
Output is correct |
33 |
Correct |
0 ms |
340 KB |
Output is correct |
34 |
Correct |
1 ms |
340 KB |
Output is correct |
35 |
Correct |
0 ms |
340 KB |
Output is correct |
36 |
Correct |
1 ms |
340 KB |
Output is correct |
37 |
Correct |
0 ms |
340 KB |
Output is correct |
38 |
Correct |
0 ms |
340 KB |
Output is correct |
39 |
Correct |
1 ms |
340 KB |
Output is correct |
40 |
Correct |
0 ms |
340 KB |
Output is correct |
41 |
Correct |
0 ms |
340 KB |
Output is correct |
42 |
Correct |
0 ms |
340 KB |
Output is correct |
43 |
Correct |
0 ms |
340 KB |
Output is correct |
44 |
Correct |
1 ms |
340 KB |
Output is correct |
45 |
Correct |
1 ms |
340 KB |
Output is correct |
46 |
Correct |
1 ms |
388 KB |
Output is correct |
47 |
Correct |
1 ms |
340 KB |
Output is correct |
48 |
Correct |
0 ms |
340 KB |
Output is correct |
49 |
Correct |
0 ms |
340 KB |
Output is correct |
50 |
Correct |
0 ms |
340 KB |
Output is correct |
51 |
Correct |
0 ms |
340 KB |
Output is correct |
52 |
Correct |
1 ms |
340 KB |
Output is correct |
53 |
Correct |
0 ms |
340 KB |
Output is correct |
54 |
Correct |
1 ms |
340 KB |
Output is correct |
55 |
Correct |
0 ms |
340 KB |
Output is correct |
56 |
Correct |
0 ms |
340 KB |
Output is correct |
57 |
Correct |
0 ms |
340 KB |
Output is correct |
58 |
Correct |
0 ms |
340 KB |
Output is correct |
59 |
Correct |
1 ms |
340 KB |
Output is correct |
60 |
Correct |
0 ms |
332 KB |
Output is correct |
61 |
Correct |
0 ms |
340 KB |
Output is correct |
62 |
Correct |
0 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
0 ms |
464 KB |
Output is correct |
6 |
Correct |
0 ms |
464 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Correct |
0 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
0 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
388 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
0 ms |
340 KB |
Output is correct |
15 |
Correct |
0 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
0 ms |
340 KB |
Output is correct |
18 |
Correct |
0 ms |
340 KB |
Output is correct |
19 |
Correct |
0 ms |
340 KB |
Output is correct |
20 |
Correct |
0 ms |
340 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
0 ms |
340 KB |
Output is correct |
24 |
Correct |
0 ms |
340 KB |
Output is correct |
25 |
Correct |
0 ms |
340 KB |
Output is correct |
26 |
Correct |
0 ms |
340 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
0 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
340 KB |
Output is correct |
31 |
Correct |
0 ms |
340 KB |
Output is correct |
32 |
Correct |
1 ms |
464 KB |
Output is correct |
33 |
Correct |
0 ms |
340 KB |
Output is correct |
34 |
Correct |
1 ms |
340 KB |
Output is correct |
35 |
Correct |
0 ms |
340 KB |
Output is correct |
36 |
Correct |
1 ms |
340 KB |
Output is correct |
37 |
Correct |
0 ms |
340 KB |
Output is correct |
38 |
Correct |
0 ms |
340 KB |
Output is correct |
39 |
Correct |
1 ms |
340 KB |
Output is correct |
40 |
Correct |
0 ms |
340 KB |
Output is correct |
41 |
Correct |
0 ms |
340 KB |
Output is correct |
42 |
Correct |
0 ms |
340 KB |
Output is correct |
43 |
Correct |
0 ms |
340 KB |
Output is correct |
44 |
Correct |
1 ms |
340 KB |
Output is correct |
45 |
Correct |
1 ms |
340 KB |
Output is correct |
46 |
Correct |
1 ms |
388 KB |
Output is correct |
47 |
Correct |
1 ms |
340 KB |
Output is correct |
48 |
Correct |
0 ms |
340 KB |
Output is correct |
49 |
Correct |
0 ms |
340 KB |
Output is correct |
50 |
Correct |
0 ms |
340 KB |
Output is correct |
51 |
Correct |
0 ms |
340 KB |
Output is correct |
52 |
Correct |
1 ms |
340 KB |
Output is correct |
53 |
Correct |
0 ms |
340 KB |
Output is correct |
54 |
Correct |
1 ms |
340 KB |
Output is correct |
55 |
Correct |
0 ms |
340 KB |
Output is correct |
56 |
Correct |
0 ms |
340 KB |
Output is correct |
57 |
Correct |
0 ms |
340 KB |
Output is correct |
58 |
Correct |
0 ms |
340 KB |
Output is correct |
59 |
Correct |
1 ms |
340 KB |
Output is correct |
60 |
Correct |
0 ms |
332 KB |
Output is correct |
61 |
Correct |
0 ms |
340 KB |
Output is correct |
62 |
Correct |
0 ms |
340 KB |
Output is correct |
63 |
Correct |
196 ms |
35232 KB |
Output is correct |
64 |
Correct |
111 ms |
27668 KB |
Output is correct |
65 |
Correct |
194 ms |
42704 KB |
Output is correct |
66 |
Correct |
105 ms |
27620 KB |
Output is correct |
67 |
Correct |
107 ms |
29012 KB |
Output is correct |
68 |
Correct |
116 ms |
31440 KB |
Output is correct |
69 |
Correct |
245 ms |
43164 KB |
Output is correct |
70 |
Correct |
96 ms |
19892 KB |
Output is correct |
71 |
Correct |
114 ms |
21216 KB |
Output is correct |
72 |
Correct |
112 ms |
23628 KB |
Output is correct |
73 |
Correct |
188 ms |
35292 KB |
Output is correct |
74 |
Correct |
112 ms |
22208 KB |
Output is correct |
75 |
Correct |
108 ms |
22196 KB |
Output is correct |
76 |
Correct |
135 ms |
25024 KB |
Output is correct |
77 |
Correct |
173 ms |
35484 KB |
Output is correct |
78 |
Correct |
135 ms |
27552 KB |
Output is correct |
79 |
Correct |
117 ms |
27564 KB |
Output is correct |
80 |
Correct |
139 ms |
35416 KB |
Output is correct |
81 |
Correct |
142 ms |
27572 KB |
Output is correct |
82 |
Correct |
81 ms |
19836 KB |
Output is correct |
83 |
Correct |
99 ms |
19828 KB |
Output is correct |
84 |
Correct |
78 ms |
19816 KB |
Output is correct |
85 |
Correct |
183 ms |
44236 KB |
Output is correct |
86 |
Correct |
184 ms |
36448 KB |
Output is correct |
87 |
Correct |
117 ms |
28660 KB |
Output is correct |
88 |
Correct |
155 ms |
36464 KB |
Output is correct |