This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
#define int long long
int n;
int a[1000005];
int b[1000005];
int x[1000005];
signed main()
{
cin >> n;
int tot = 0;
for (int i = 0; i < n; i++) {
cin >> a[i] >> b[i];
tot += (1LL << i) * (a[i] - b[i]);
}
if (tot % ((1 << n) - 1)) {
cout << "No\n";
return 0;
}
else x[0] = tot / ((1 << n) - 1);
for (int i = 0; i < n - 1; i++) {
int p = x[i] + a[i] - b[i];
if (p % 2) {
cout << "No\n";
return 0;
}
else x[i+1] = p / 2;
}
bool ok = true;
for (int i = 0; i < n; i++) ok &= (x[i] >= 0);
bool ok2 = false;
for (int i = 0; i < n; i++) ok2 |= (b[i] != 0);
if (!ok2) {
ok2 = true;
for (int i = 0; i < n; i++) ok2 &= (a[i] == 0);
cout << (ok2 ? "Yes" : "No") << '\n';
}
else cout << (ok ? "Yes" : "No") << '\n';
}
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