// AUTHOR->DEV KUDAWLA
//----------------------------------------------------
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
typedef tree<long long, null_type, less<long long>, rb_tree_tag, tree_order_statistics_node_update> ordered_set; // find_by_order(it return an iterator input is a value), order_of_key(input is index)
typedef tree<long long, null_type, less_equal<int>, rb_tree_tag, tree_order_statistics_node_update> ordered_multiset;
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#define ll long long int
#define vl vector<long long>
#define nline cout << "\n"
#define n_digit(n) (int)log10(n) + 1
#define msb(n) (int)(log2(n)) + 1
// it is 1 based
#define pll pair<ll, ll>
#define all(x) x.begin(), x.end()
#define ternary(a, b, c) ((a) ? (b) : (c))
#define yesno(a) a ? cout << "YES" : cout << "NO"
#define sroot(a) sqrt((long double)a)
#define Max(a, b) max((ll)a, (ll)b)
#define Min(a, b) min((ll)a, (ll)b)
//----------------------------------------------------
template <class T1, class T2>
ostream &operator<<(std::ostream &os, pair<T1, T2> &st)
{
cout << "{ " << st.first << " " << st.second << " }";
return os;
}
template <class T>
istream &operator>>(istream &is, vector<T> &v)
{
int n = v.size();
for (int i = 0; i < n; i++)
is >> v[i];
return is;
}
template <class T>
istream &operator>>(istream &is, vector<vector<T>> &v)
{
int n = v.size();
int m = v[0].size();
for (int i = 0; i < n; i++)
for (int j = 0; j < m; j++)
is >> v[i][j];
return is;
}
template <class T>
ostream &operator<<(std::ostream &os, vector<T> &v)
{
int n = v.size();
for (int i = 0; i < n; i++)
os << v[i] << ((i == n - 1) ? "\n" : " ");
return os;
}
template <class T>
ostream &operator<<(std::ostream &os, vector<vector<T>> &v)
{
int n = v.size();
int m = v[0].size();
for (int i = 0; i < n; i++)
{
for (int j = 0; j < m; j++)
os << v[i][j] << " ";
os << "\n";
}
return os;
}
template <class T>
ostream &operator<<(std::ostream &os, set<T> &st)
{
cout << "---------------------------------\n";
for (auto i : st)
cout << i << " ";
nline;
cout << "---------------------------------\n";
return os;
}
template <class T>
ostream &operator<<(std::ostream &os, multiset<T> &st)
{
cout << "---------------------------------\n";
for (auto i : st)
cout << i << " ";
nline;
cout << "---------------------------------\n";
return os;
}
template <class T1, class T2>
ostream &operator<<(std::ostream &os, map<T1, T2> &st)
{
cout << "-------------------------------\n";
auto x = st.begin();
while (x != st.end())
{
cout << x->first;
cout << " -> ";
cout << x->second;
nline;
x++;
}
cout << "-------------------------------\n";
return os;
}
template <class T>
vector<T> add(vector<T> v1, vector<T> v2)
{
vector<T> v3 = v1;
for (ll i = 0; i < v2.size(); i++)
v3.push_back(v2[i]);
return v3;
}
template <int D, typename T>
struct Vector : public vector<Vector<D - 1, T>>
{
static_assert(D >= 1, "Vector dimension must be greater than zero!");
template <typename U, typename... Args>
Vector(U n = U(), Args... args) : vector<Vector<D - 1, T>>(n, Vector<D - 1, T>(args...)) {}
};
template <typename T>
struct Vector<1, T> : public vector<T>
{
template <typename... Args>
Vector(Args... args) : vector<T>(args...) {}
};
inline ll power2(ll n)
{
ll answer = 0;
if (n != 0)
answer = msb(((ll)n) ^ ((ll)(n - 1))) - 1;
return answer;
}
inline ll indexOf(ordered_multiset &st, ll value)
{
return st.order_of_key(value);
}
inline ll valueAt(ordered_multiset &st, ll index)
{
return *st.find_by_order(index);
}
inline ll indexOf(ordered_set &st, ll value)
{
return st.order_of_key(value);
}
inline ll valueAt(ordered_set &st, ll index)
{
return *st.find_by_order(index);
}
template <class T>
void Distinct(T &v, bool sorting = true)
{
if (sorting)
sort(begin(v), end(v));
v.resize(unique(begin(v), end(v)) - begin(v));
}
//----------------------------------------------------
const ll N1 = 1000000007;
const ll N2 = 998244353;
//----------------------------------------------------
// MODULAR ARITHMETIC
inline ll expo(ll a, ll b, ll mod = LONG_LONG_MAX)
{
ll res = 1;
while (b > 0)
{
if (b & 1)
res = ((__int128_t)res * a) % mod;
a = ((__int128_t)a * a) % mod;
b = b >> 1;
}
return res;
}
inline ll mminvprime(ll a, ll b) { return expo(a, b - 2, b); } // FOR PRIME
inline ll mod_add(ll a, ll b, ll m = N1)
{
a = a % m;
b = b % m;
return (((a + b) % m) + m) % m;
}
inline ll mod_mul(ll a, ll b, ll m = N1)
{
a = a % m;
b = b % m;
return (((__int128_t)(a * b) % m) + m) % m;
}
inline ll mod_sub(ll a, ll b, ll m = N1)
{
a = a % m;
b = b % m;
return (((a - b) % m) + m) % m;
}
inline ll mod_div(ll a, ll b, ll m = N1)
{
a = a % m;
b = b % m;
return (mod_mul(a, mminvprime(b, m), m) + m) % m;
} // only for prime m
ll ncr(ll n, ll r, bool mod_version = false, ll mod = N1)
{
ll answer = 0;
if (n >= r)
{
r = Min(r, n - r);
if (mod_version == true)
{
ll a = 1;
for (ll i = n; i >= n - r + 1; i--)
a = mod_mul(a, i, mod);
ll b = 1;
for (ll i = 1; i <= r; i++)
b = mod_mul(b, i, mod);
b = mminvprime(b, mod);
a = mod_mul(a, b, mod);
answer = a;
}
else
{
ll a = 1;
ll b = 1;
for (ll i = n; i >= n - r + 1; i--)
{
a *= i;
b *= (n - i + 1);
ll g = __gcd(a, b);
a /= g, b /= g;
}
answer = a / b;
}
}
return answer;
}
ll factorial(ll n, bool mod_version = false, ll mod = N1)
{
ll answer = 1;
if (mod_version == true)
{
for (int i = 2; i <= n; i++)
answer = mod_mul(answer, i, mod);
}
else
{
for (int i = 2; i <= n; i++)
answer *= i;
}
return answer;
}
bool is_prime(ll a)
{
if (a == 1)
return false;
for (ll i = 2; i * i <= a; i++)
{
if (a % i == 0)
return false;
}
return true;
}
//----------------------------------------------------
map<ll, ll> prime_factors(ll n, bool debug = false)
{
map<ll, ll> answer;
ll a = n;
for (ll i = 2; i * i <= a; i++)
while (a % i == 0)
answer[i]++, a /= i;
if (a > 1)
answer[a]++;
if (debug)
{
for (auto i : answer)
cout << i.first << " -> " << i.second << "\n";
}
return answer;
}
//----------------------------------------------------
const int n_sieve = (20000008); // O(Nlog(log(N)))
// vector<bool> prime_sieve(n_sieve + 1, true);
void initialise_sieve(vector<bool> &prime_sieve)
{
prime_sieve[0] = false;
prime_sieve[1] = false;
for (ll i = 2; i * i < n_sieve; i++)
if (prime_sieve[i] == true)
for (ll j = 2; j * i < n_sieve; j++)
prime_sieve[j * i] = false;
}
//----------------------------------------------------
// #define LOCAL_COMPILER
#ifdef LOCAL_COMPILER
#define dbg(x) \
cerr << "\n" \
<< #x << " -> \n"; \
cout << x << "\n";
#endif
#ifndef LOCAL_COMPILER
#define dbg(x)
#endif
//----------------------------------------------------
// CODE STARTS HERE
const int sz = 10000005;
const int sz1 = 10000005;
long long Fenwick[sz] = {0};
long long Fenwick1[sz1] = {0};
// 1 BASED INDEXING
// ALWAYS DECLARE FENWICK TREE GLOBALLY
struct fenwicktree
{
int n;
vector<long long> v;
fenwicktree(vector<ll> A)
{
v.resize(A.size() + 1, 0);
n = A.size();
for (int i = 0; i < A.size(); i++)
Add(i + 1, A[i]);
}
long long Sum(int i)
{
long long answer = 0;
for (; i > 0; i -= (i & (-i)))
answer += Fenwick[i];
return answer;
}
void Add(int i, long long x)
{
v[i] += x;
for (; i <= n; i += (i & (-i)))
Fenwick[i] += x;
}
void Replace(int i, long long x)
{
long long y = v[i];
v[i] = x;
for (; i <= n; i += (i & (-i)))
Fenwick[i] += x - y;
}
long long RangeSum(int l, int r)
{
return Sum(r) - Sum(l - 1);
}
};
// 1 BASED INDEXING
// ALWAYS DECLARE FENWICK TREE GLOBALLY
struct fenwicktree1
{
int n;
vector<long long> v;
fenwicktree1(vector<ll> A)
{
v.resize(A.size() + 1, 0);
n = A.size();
for (int i = 0; i < A.size(); i++)
Add(i + 1, A[i]);
}
long long Sum(int i)
{
long long answer = 0;
for (; i > 0; i -= (i & (-i)))
answer += Fenwick1[i];
return answer;
}
void Add(int i, long long x)
{
v[i] += x;
for (; i <= n; i += (i & (-i)))
Fenwick1[i] += x;
}
void Replace(int i, long long x)
{
long long y = v[i];
v[i] = x;
for (; i <= n; i += (i & (-i)))
Fenwick1[i] += x - y;
}
long long RangeSum(int l, int r)
{
return Sum(r) - Sum(l - 1);
}
};
//----------------------------------------------------
void solve(bool testCases = true)
{
ll T = 1; //->TEST CASES
if (testCases)
cin >> T;
while (T--)
{
ll n;
cin >> n;
vector<pll> v(n);
for (ll i = 0; i < n; i++)
{
ll a, b;
cin >> a >> b;
v[i] = {b, a};
}
sort(all(v));
reverse(all(v));
unordered_map<ll, ll> D1, D2;
int c1, c2;
{
vl a;
for (ll i = 0; i < n; i++)
a.push_back(v[i].second - v[i].first);
Distinct(a);
for (ll i = 0; i < a.size(); i++)
D1[a[i]] = i + 1;
c1 = a.size();
a.clear();
for (ll i = 0; i < n; i++)
a.push_back(v[i].second + v[i].first);
Distinct(a);
c2 = a.size();
for (ll i = 0; i < a.size(); i++)
D2[a[i]] = i + 1;
}
fenwicktree a(vl(c1, 0));
fenwicktree1 b(vl(c2, 0));
ll answer = 0;
for (ll i = 0; i < n; i++)
{
ll d1 = v[i].second - v[i].first;
ll d2 = v[i].second + v[i].first;
ll p1 = a.RangeSum(1, D1[d1]);
ll p2 = b.RangeSum(D2[d2], c2);
if (p1 + p2 - answer > 0)
continue;
answer++;
a.Add(D1[d1], 1);
b.Add(D2[d2], 1);
}
cout << answer;
nline;
}
//--------------------------------------------
// CODE ENDS HERE
}
//----------------------------------------------------
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
//------------------------------------------------
// initialise_sieve(prime_sieve);
//------------------------------------------------
#ifdef LOCAL_COMPILER
std::cout << std::fixed << std::setprecision(25);
std::cerr << std::fixed << std::setprecision(10);
auto start = std::chrono::high_resolution_clock::now();
#endif
solve(false);
#ifdef LOCAL_COMPILER
auto stop = std::chrono::high_resolution_clock::now();
long double duration = std::chrono::duration_cast<std::chrono::nanoseconds>(stop - start).count();
std::cerr << "Time taken : " << duration / 1e9 << "s" << std::endl;
#endif
//------------------------------------------------
return 0;
}
//----------------------------------------------------
Compilation message
lightningrod.cpp: In constructor 'fenwicktree::fenwicktree(std::vector<long long int>)':
lightningrod.cpp:317:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
317 | for (int i = 0; i < A.size(); i++)
| ~~^~~~~~~~~~
lightningrod.cpp: In constructor 'fenwicktree1::fenwicktree1(std::vector<long long int>)':
lightningrod.cpp:356:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
356 | for (int i = 0; i < A.size(); i++)
| ~~^~~~~~~~~~
lightningrod.cpp: In function 'void solve(bool)':
lightningrod.cpp:410:30: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
410 | for (ll i = 0; i < a.size(); i++)
| ~~^~~~~~~~~~
lightningrod.cpp:418:30: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
418 | for (ll i = 0; i < a.size(); i++)
| ~~^~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Runtime error |
1622 ms |
262144 KB |
Execution killed with signal 9 |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 2 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 3 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 4 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 5 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 6 |
Correct |
1 ms |
2516 KB |
Output is correct |
| 7 |
Correct |
1 ms |
2396 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 2 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 3 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 4 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 5 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 6 |
Correct |
1 ms |
2516 KB |
Output is correct |
| 7 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 8 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 9 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 10 |
Correct |
1 ms |
2396 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 2 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 3 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 4 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 5 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 6 |
Correct |
1 ms |
2516 KB |
Output is correct |
| 7 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 8 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 9 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 10 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 11 |
Correct |
2 ms |
2652 KB |
Output is correct |
| 12 |
Correct |
2 ms |
2652 KB |
Output is correct |
| 13 |
Correct |
2 ms |
2652 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 2 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 3 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 4 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 5 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 6 |
Correct |
1 ms |
2516 KB |
Output is correct |
| 7 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 8 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 9 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 10 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 11 |
Correct |
2 ms |
2652 KB |
Output is correct |
| 12 |
Correct |
2 ms |
2652 KB |
Output is correct |
| 13 |
Correct |
2 ms |
2652 KB |
Output is correct |
| 14 |
Correct |
207 ms |
35032 KB |
Output is correct |
| 15 |
Correct |
299 ms |
34028 KB |
Output is correct |
| 16 |
Correct |
262 ms |
32488 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Runtime error |
1920 ms |
262144 KB |
Execution killed with signal 9 |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Runtime error |
1622 ms |
262144 KB |
Execution killed with signal 9 |
| 2 |
Halted |
0 ms |
0 KB |
- |
