This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/**
____ ____ ____ __________________ ____ ____ ____
||I || ||c || ||e || || || ||M || ||a || ||n ||
||__|| ||__|| ||__|| ||________________|| ||__|| ||__|| ||__||
|/__\| |/__\| |/__\| |/________________\| |/__\| |/__\| |/__\|
*/
#include <iostream>
#include <chrono>
#include <vector>
#define maxn 1000005
#define maxlog 20
#define INF 1000000010
#define LINF 1000000000000000005
#define endl '\n'
#define pb(x) push_back(x)
#define X first
#define Y second
#define control cout<<"passed"<<endl;
#pragma GCC optimize("O3" , "Ofast" , "unroll-loops" , "fast-math")
#pragma GCC target("avx2")
using namespace std;
typedef pair <int, int> pii;
typedef long long ll;
typedef pair <ll, ll> pll;
typedef pair <int, ll> pil;
typedef pair <ll, int> pli;
typedef long double ld;
std::chrono::high_resolution_clock::time_point startT, currT;
constexpr double TIME_MULT = 1;
double timePassed()
{
using namespace std::chrono;
currT = high_resolution_clock::now();
double time = duration_cast<duration<double>>(currT - startT).count();
return time * TIME_MULT;
}
int v[maxn];
ll n, a[maxn], b[maxn];
int bra0 = 0, brb0 = 0;
void read()
{
cin >> n;
for(int i = 1; i <= n; i++)
cin >> a[i] >> b[i];
for(int i = 1; i <= n; i++)
{
if(a[i] == 0)
bra0++;
if(b[i] == 0)
brb0++;
}
if(brb0 == n)
{
if(bra0 != n)
cout << "No" << endl;
else
cout << "Yes" << endl;
exit(0);
}
for(int i = 1; i <= n - 1; i++)
v[i] = i + 1;
v[n] = 1;
}
bool make_step()
{
bool ret = false;
for(int i = 1; i <= n + 1; i++)
{
if(a[i] <= b[i])
continue;
ret = true;
ll money = (a[i] - b[i] + 1) / 2;
a[i] -= money * 2;
a[v[i]] += money;
}
for(int i = 1; i <= 1; i++)
{
if(a[i] <= b[i])
continue;
ret = true;
ll money = (a[i] - b[i] + 1) / 2;
a[i] -= money * 2;
a[v[i]] += money;
}
return ret;
}
void solve()
{
bool another_one = true;
while(another_one == true)
{
another_one = make_step();
bool lamp = true;
for(int i = 1; i <= n; i++)
if(a[i] != b[i])
lamp = false;
/**cout << "-------------" << endl;
for(int i = 1; i <= n; i++)
cout << a[i] << " ";
cout << endl << "---------------------" << endl;*/
if(lamp == true)
{
cout << "Yes" << endl;
return;
}
}
cout << "No" << endl;
}
int main()
{
/**#ifdef ONLINE_JUDGE
freopen("input.in", "r", stdin);
freopen("output.out", "w", stdout);
#endif*/
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
///startT = std::chrono::high_resolution_clock::now();
read();
solve();
return 0;
}
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