#pragma GCC optimize("O3", "Ofast", "unroll-loops", "fast-math")
#include <bits/stdc++.h>
using namespace std;
#ifdef LOCAL
const long long mod = 1e9 + 7;
#else
const long long mod = 2000000000000021ll;
#endif
#ifdef LOCAL
typedef long long __int128_t;
#endif
struct Modint {
long long x;
Modint() {
x = 0ll;
}
Modint(long long _x) {
while (_x >= mod) {
_x -= mod;
}
while (_x < 0) {
_x += mod;
}
x = _x;
}
Modint(__int128_t _x) {
if (_x >= mod || _x <= -mod) {
_x %= mod;
}
if (_x < 0) {
_x += mod;
}
x = _x;
}
Modint operator+(const Modint& other) const {
return Modint(x + other.x);
}
Modint operator-(const Modint& other) const {
return Modint(x - other.x);
}
Modint operator*(const Modint& other) const {
return Modint((__int128_t)x * other.x);
}
void operator+=(const Modint& other) {
*this = *this + other;
}
void operator-=(const Modint& other) {
*this = *this - other;
}
void operator*=(const Modint& other) {
*this = *this * other;
}
Modint operator^(long long k) const {
Modint tmp = x, res = 1ll;
while (k > 0) {
// cerr << k << '\n';
if (k & 1ll) {
res *= tmp;
}
tmp *= tmp;
k >>= 1;
}
return res;
}
~Modint() {}
};
void solve() {
int n;
cin >> n;
vector<int> a(n), b(n);
for (int i = 0; i < n; ++i) {
cin >> a[i] >> b[i];
}
Modint denom = 1ll;
for (int i = 0; i < n; ++i) {
denom = denom + denom;
}
// cerr << denom.x << '\n';
denom = (denom - 1ll) ^ (mod - 2);
// cerr << (denom * ((1ll << n) - 1)).x << '\n';
vector<long long> x(n);
for (int i = 0; i < n; ++i) {
Modint xmod = 0ll;
for (int j = i; j >= 0; --j) {
xmod = xmod + xmod + (long long)(b[j] - a[j]);
}
for (int j = n - 1; j > i; --j) {
xmod = xmod + xmod + (long long)(b[j] - a[j]);
}
xmod = (Modint(0ll) - xmod) * denom;
if (xmod.x > mod / 2) {
cout << "No\n";
return;
}
x[i] = xmod.x;
}
for (int i = 0, prv = n - 1; i < n; ++i, ++prv) {
if (prv == n) { prv = 0; }
if (x[prv] - 2 * x[i] != b[i] - a[i]) {
cout << "No\n";
return;
}
}
bool change = true;
while (change) {
change = false;
for (int i = 0; i < n; ++i) {
if (x[i] > 0 && a[i] >= 2) {
change = true;
long long trans = min(x[i], a[i] * 1ll / 2);
x[i] -= trans;
a[i] -= 2 * trans;
int nxt = i + 1;
if (nxt == n) {
nxt = 0;
}
a[nxt] += trans;
}
}
}
for (int i = 0; i < n; ++i) {
if (x[i] != 0) {
cout << "No\n";
return;
}
}
cout << "Yes\n";
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
#ifdef LOCAL
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
int T = 1;
cin >> T;
while (T--) {
solve();
cerr << "-----------\n";
cout << "-----------\n";
}
#else
int T = 1;
// cin >> T;
while (T--) {
solve();
}
#endif
return 0;
}
/*
2000000000000021
2000000000000077
2000000000000081
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
344 KB |
Output is correct |
12 |
Correct |
0 ms |
344 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
344 KB |
Output is correct |
17 |
Correct |
0 ms |
344 KB |
Output is correct |
18 |
Correct |
0 ms |
344 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
0 ms |
348 KB |
Output is correct |
30 |
Correct |
0 ms |
348 KB |
Output is correct |
31 |
Correct |
0 ms |
348 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
344 KB |
Output is correct |
12 |
Correct |
0 ms |
344 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
344 KB |
Output is correct |
17 |
Correct |
0 ms |
344 KB |
Output is correct |
18 |
Correct |
0 ms |
344 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
0 ms |
348 KB |
Output is correct |
30 |
Correct |
0 ms |
348 KB |
Output is correct |
31 |
Correct |
0 ms |
348 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
0 ms |
348 KB |
Output is correct |
34 |
Correct |
0 ms |
348 KB |
Output is correct |
35 |
Correct |
0 ms |
348 KB |
Output is correct |
36 |
Correct |
0 ms |
348 KB |
Output is correct |
37 |
Correct |
0 ms |
348 KB |
Output is correct |
38 |
Correct |
0 ms |
348 KB |
Output is correct |
39 |
Correct |
0 ms |
348 KB |
Output is correct |
40 |
Correct |
0 ms |
348 KB |
Output is correct |
41 |
Correct |
0 ms |
348 KB |
Output is correct |
42 |
Correct |
0 ms |
348 KB |
Output is correct |
43 |
Correct |
0 ms |
348 KB |
Output is correct |
44 |
Correct |
0 ms |
348 KB |
Output is correct |
45 |
Correct |
0 ms |
600 KB |
Output is correct |
46 |
Correct |
0 ms |
348 KB |
Output is correct |
47 |
Correct |
0 ms |
600 KB |
Output is correct |
48 |
Correct |
0 ms |
348 KB |
Output is correct |
49 |
Correct |
0 ms |
360 KB |
Output is correct |
50 |
Correct |
0 ms |
348 KB |
Output is correct |
51 |
Correct |
0 ms |
348 KB |
Output is correct |
52 |
Correct |
0 ms |
348 KB |
Output is correct |
53 |
Correct |
0 ms |
348 KB |
Output is correct |
54 |
Correct |
0 ms |
348 KB |
Output is correct |
55 |
Correct |
0 ms |
348 KB |
Output is correct |
56 |
Correct |
0 ms |
344 KB |
Output is correct |
57 |
Correct |
0 ms |
600 KB |
Output is correct |
58 |
Correct |
0 ms |
348 KB |
Output is correct |
59 |
Correct |
0 ms |
348 KB |
Output is correct |
60 |
Correct |
0 ms |
348 KB |
Output is correct |
61 |
Correct |
0 ms |
348 KB |
Output is correct |
62 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
344 KB |
Output is correct |
12 |
Correct |
0 ms |
344 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
344 KB |
Output is correct |
17 |
Correct |
0 ms |
344 KB |
Output is correct |
18 |
Correct |
0 ms |
344 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
0 ms |
348 KB |
Output is correct |
30 |
Correct |
0 ms |
348 KB |
Output is correct |
31 |
Correct |
0 ms |
348 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
0 ms |
348 KB |
Output is correct |
34 |
Correct |
0 ms |
348 KB |
Output is correct |
35 |
Correct |
0 ms |
348 KB |
Output is correct |
36 |
Correct |
0 ms |
348 KB |
Output is correct |
37 |
Correct |
0 ms |
348 KB |
Output is correct |
38 |
Correct |
0 ms |
348 KB |
Output is correct |
39 |
Correct |
0 ms |
348 KB |
Output is correct |
40 |
Correct |
0 ms |
348 KB |
Output is correct |
41 |
Correct |
0 ms |
348 KB |
Output is correct |
42 |
Correct |
0 ms |
348 KB |
Output is correct |
43 |
Correct |
0 ms |
348 KB |
Output is correct |
44 |
Correct |
0 ms |
348 KB |
Output is correct |
45 |
Correct |
0 ms |
600 KB |
Output is correct |
46 |
Correct |
0 ms |
348 KB |
Output is correct |
47 |
Correct |
0 ms |
600 KB |
Output is correct |
48 |
Correct |
0 ms |
348 KB |
Output is correct |
49 |
Correct |
0 ms |
360 KB |
Output is correct |
50 |
Correct |
0 ms |
348 KB |
Output is correct |
51 |
Correct |
0 ms |
348 KB |
Output is correct |
52 |
Correct |
0 ms |
348 KB |
Output is correct |
53 |
Correct |
0 ms |
348 KB |
Output is correct |
54 |
Correct |
0 ms |
348 KB |
Output is correct |
55 |
Correct |
0 ms |
348 KB |
Output is correct |
56 |
Correct |
0 ms |
344 KB |
Output is correct |
57 |
Correct |
0 ms |
600 KB |
Output is correct |
58 |
Correct |
0 ms |
348 KB |
Output is correct |
59 |
Correct |
0 ms |
348 KB |
Output is correct |
60 |
Correct |
0 ms |
348 KB |
Output is correct |
61 |
Correct |
0 ms |
348 KB |
Output is correct |
62 |
Correct |
0 ms |
348 KB |
Output is correct |
63 |
Correct |
154 ms |
15968 KB |
Output is correct |
64 |
Execution timed out |
1037 ms |
15956 KB |
Time limit exceeded |
65 |
Halted |
0 ms |
0 KB |
- |