#include <bits/stdc++.h>
using namespace std;
#define int long long
#define ll long long
#define pii pair<int, int>
#define ff first
#define ss second
#define pb push_back
#define rep(i, a, b) for (int i = (int)a; i <= (int)b; ++i)
#define rep1(i, a, b) for (int i = (int)a; i >= (int)b; --i)
#define all(x) x.begin(), x.end()
#define sp(x) setprecision(x) << fixed
typedef long double db;
const int N = 1e6 + 5;
const int inf = 1e9;
pair<db, db> f[N];
db ans[N];
bool solve() {
int n; cin >> n;
vector<db> a(n + 1), b(n + 1);
rep(i, 1, n) cin >> a[i] >> b[i];
f[1] = {0.5, (a[1] - b[1]) / 2};
rep(i, 2, n - 1) {
f[i] = {f[i - 1].ff / 2, f[i - 1].ss / 2 + (a[i] - b[i]) / 2};
}
// f[n-1] = ax + b
pair<db, db> tmp = {2, b[n] - a[n]}; // cx + d
// x = (d - b) / (a - c)
assert(f[n - 1].ff != tmp.ff);
ans[n] = (tmp.ss - f[n - 1].ss) / (f[n - 1].ff - tmp.ff);
// cout<<"ax+b="<<sp(4)<<f[n-1].ff<<' '<<f[n-1].ss<<'\n';
// cout<<"cx+d="<<sp(4)<<tmp.ff<<' '<<tmp.ss<<'\n';
//
// cout<<"ans[n]=" << sp(6)<<ans[n]<<'\n';
if (ans[n] < 0 || (int)ans[n] < ans[n]) return false;
rep(i, 1, n - 1) {
ans[i] = f[i].ff * ans[n] + f[i].ss;
if (ans[i] < 0 || (int)ans[i] < ans[i]) return false;
}
return true;
}
main() {
ios_base::sync_with_stdio(0); cin.tie(0);
cout << (solve() ? "Yes" : "No");
}
Compilation message
remittance.cpp:49:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
49 | main() {
| ^~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
316 KB |
Output is correct |
| 2 |
Correct |
0 ms |
332 KB |
Output is correct |
| 3 |
Correct |
0 ms |
324 KB |
Output is correct |
| 4 |
Correct |
1 ms |
316 KB |
Output is correct |
| 5 |
Correct |
1 ms |
332 KB |
Output is correct |
| 6 |
Correct |
0 ms |
320 KB |
Output is correct |
| 7 |
Correct |
0 ms |
332 KB |
Output is correct |
| 8 |
Correct |
0 ms |
332 KB |
Output is correct |
| 9 |
Correct |
1 ms |
332 KB |
Output is correct |
| 10 |
Correct |
1 ms |
332 KB |
Output is correct |
| 11 |
Correct |
1 ms |
332 KB |
Output is correct |
| 12 |
Correct |
1 ms |
332 KB |
Output is correct |
| 13 |
Correct |
1 ms |
332 KB |
Output is correct |
| 14 |
Correct |
1 ms |
332 KB |
Output is correct |
| 15 |
Correct |
1 ms |
332 KB |
Output is correct |
| 16 |
Correct |
0 ms |
332 KB |
Output is correct |
| 17 |
Correct |
1 ms |
332 KB |
Output is correct |
| 18 |
Correct |
0 ms |
332 KB |
Output is correct |
| 19 |
Correct |
1 ms |
332 KB |
Output is correct |
| 20 |
Incorrect |
1 ms |
332 KB |
Output isn't correct |
| 21 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
316 KB |
Output is correct |
| 2 |
Correct |
0 ms |
332 KB |
Output is correct |
| 3 |
Correct |
0 ms |
324 KB |
Output is correct |
| 4 |
Correct |
1 ms |
316 KB |
Output is correct |
| 5 |
Correct |
1 ms |
332 KB |
Output is correct |
| 6 |
Correct |
0 ms |
320 KB |
Output is correct |
| 7 |
Correct |
0 ms |
332 KB |
Output is correct |
| 8 |
Correct |
0 ms |
332 KB |
Output is correct |
| 9 |
Correct |
1 ms |
332 KB |
Output is correct |
| 10 |
Correct |
1 ms |
332 KB |
Output is correct |
| 11 |
Correct |
1 ms |
332 KB |
Output is correct |
| 12 |
Correct |
1 ms |
332 KB |
Output is correct |
| 13 |
Correct |
1 ms |
332 KB |
Output is correct |
| 14 |
Correct |
1 ms |
332 KB |
Output is correct |
| 15 |
Correct |
1 ms |
332 KB |
Output is correct |
| 16 |
Correct |
0 ms |
332 KB |
Output is correct |
| 17 |
Correct |
1 ms |
332 KB |
Output is correct |
| 18 |
Correct |
0 ms |
332 KB |
Output is correct |
| 19 |
Correct |
1 ms |
332 KB |
Output is correct |
| 20 |
Incorrect |
1 ms |
332 KB |
Output isn't correct |
| 21 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
316 KB |
Output is correct |
| 2 |
Correct |
0 ms |
332 KB |
Output is correct |
| 3 |
Correct |
0 ms |
324 KB |
Output is correct |
| 4 |
Correct |
1 ms |
316 KB |
Output is correct |
| 5 |
Correct |
1 ms |
332 KB |
Output is correct |
| 6 |
Correct |
0 ms |
320 KB |
Output is correct |
| 7 |
Correct |
0 ms |
332 KB |
Output is correct |
| 8 |
Correct |
0 ms |
332 KB |
Output is correct |
| 9 |
Correct |
1 ms |
332 KB |
Output is correct |
| 10 |
Correct |
1 ms |
332 KB |
Output is correct |
| 11 |
Correct |
1 ms |
332 KB |
Output is correct |
| 12 |
Correct |
1 ms |
332 KB |
Output is correct |
| 13 |
Correct |
1 ms |
332 KB |
Output is correct |
| 14 |
Correct |
1 ms |
332 KB |
Output is correct |
| 15 |
Correct |
1 ms |
332 KB |
Output is correct |
| 16 |
Correct |
0 ms |
332 KB |
Output is correct |
| 17 |
Correct |
1 ms |
332 KB |
Output is correct |
| 18 |
Correct |
0 ms |
332 KB |
Output is correct |
| 19 |
Correct |
1 ms |
332 KB |
Output is correct |
| 20 |
Incorrect |
1 ms |
332 KB |
Output isn't correct |
| 21 |
Halted |
0 ms |
0 KB |
- |
