Submission #556691

#	Time	Username	Problem	Language	Result	Execution time	Memory
556691		Bungmint	Pairs (IOI07_pairs)	C++17	52 / 100	423 ms	524288 KiB

pairs

// Copyright © 2022 Youngmin Park. All rights reserved.
//#pragma GCC optimize("O3")
//#pragma GCC target("avx2")
#include <bits/stdc++.h>
using namespace std;

using ll = long long;
using vi = vector<int>;
using pii = pair<int, int>;
using vpi = vector<pii>;
using pll = pair<ll, ll>;
using vl = vector<ll>;
using vpl = vector<pll>;
using ld = long double;
template <typename T, size_t SZ>
using ar = array<T, SZ>;
template <typename T>
using pqg = priority_queue<T, vector<T>, greater<T>>;

#define all(v) (v).begin(), (v).end()
#define pb push_back
#define sz(x) (int)(x).size()
#define fi first
#define se second
#define lb lower_bound
#define ub upper_bound

constexpr int INF = 1e9;
constexpr ll LINF = 1e18;
const ld PI = acos((ld)-1.0);
constexpr int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1};
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
template <typename T>
constexpr bool ckmin(T &a, const T &b) { return b < a ? a = b, 1 : 0; }
template <typename T>
constexpr bool ckmax(T &a, const T &b) { return b > a ? a = b, 1 : 0; }

template <typename A, typename B>
ostream &operator<<(ostream &os, const pair<A, B> &p)
{
	return os << '(' << p.first << ", " << p.second << ')';
}
template <typename T_container, typename T = typename enable_if<!is_same<T_container, string>::value, typename T_container::value_type>::type>
ostream &operator<<(ostream &os, const T_container &v)
{
	os << '{';
	string sep;
	for (const T &x : v)
		os << sep << x, sep = ", ";
	return os << '}';
}
template <typename T>
ostream &operator<<(ostream &os, const deque<T> &v) {
	os << vector<T>(all(v));
	return os;
}
template <typename T, typename S, typename C>
ostream &operator<<(ostream &os, priority_queue<T, S, C> pq) {
	vector<T> v;
	while (sz(pq)) {
		v.pb(pq.top());
		pq.pop();
	}
	os << v;
	return os;
}
void dbg_out()
{
	cerr << "\033[0m" << endl;
}
template <typename Head, typename... Tail>
void dbg_out(Head H, Tail... T)
{
	cerr << ' ' << H;
	dbg_out(T...);
}
#ifdef LOCAL
#define dbg(...) cerr << "\033[1;35m(" << #__VA_ARGS__ << "):\033[33m", dbg_out(__VA_ARGS__)
#else
#define dbg(...) 42
#endif

inline namespace RecursiveLambda
{
	template <typename Fun>
	struct y_combinator_result
	{
		Fun fun_;
		template <typename T>
		explicit y_combinator_result(T &&fun) : fun_(forward<T>(fun)) {}
		template <typename... Args>
		decltype(auto) operator()(Args &&...args)
		{
			return fun_(ref(*this), forward<Args>(args)...);
		}
	};
	template <typename Fun>
	decltype(auto) y_combinator(Fun &&fun)
	{
		return y_combinator_result<decay_t<Fun>>(forward<Fun>(fun));
	}
};

class Range {
	struct Iter
	{
		int iter;
		constexpr Iter(int it) noexcept : iter(it) {}
		constexpr void operator++() noexcept { iter++; }
		constexpr bool operator!=(const Iter &other) const noexcept { return iter != other.iter; }
		constexpr int operator*() const noexcept { return iter; }
	};
	const Iter first, last;

public:
	explicit constexpr Range(const int f, const int l) noexcept : first(f), last(max(f, l)) {}
	constexpr Iter begin() const noexcept { return first; }
	constexpr Iter end() const noexcept { return last; }
};

constexpr Range rep(const int l, const int r) noexcept { return Range(l, r); }
constexpr Range rep(const int n) noexcept { return Range(0, n); }

class ReversedRange {
    struct Iter {
        int itr;
        constexpr Iter(const int pos) noexcept : itr(pos) {}
        constexpr void operator++() noexcept { --itr; }
        constexpr bool operator!=(const Iter& other) const noexcept { return itr != other.itr; }
        constexpr int operator*() const noexcept { return itr; }
    };
    const Iter first, last;
 
  public:
    explicit constexpr ReversedRange(const int f, const int l) noexcept
        : first(l - 1), last(min(f, l) - 1) {}
    constexpr Iter begin() const noexcept { return first; }
    constexpr Iter end() const noexcept { return last; }
};
 
constexpr ReversedRange per(const int l, const int r) noexcept { return ReversedRange(l, r); }
constexpr ReversedRange per(const int n) noexcept { return ReversedRange(0, n); }

/**
 * Description: 2D Binary Indexed Tree
 * Source: Own
 * Verification: https://cses.fi/problemset/task/1739
 * Time complexity: O(log^2 n) update/query
 * Memory complexity: O(n^2)
 * O-indexing
 */
template <typename T>
struct BIT2D {
    vector<vector<T>> bit;
    int N, M;
    BIT2D(int n, int m) : N(n), M(m) {
        bit.resize(n + 1);
        for (auto &v : bit) v.resize(m + 1);
    }
    void upd(int x, int y, T v) {
        for (x++; x <= N; x += x & -x) {
            for (int i = y + 1; i <= M; i += i & -i) {
                bit[x][i] += v;
            }
        }
    } 
    T query(int x, int y) {
        T res = T();
        for (x++; x; x -= x & -x) {
            for (int i = y + 1; i; i -= i & -i) {
                res += bit[x][i];
            }
        }
        return res;
    }
};

template <typename T>
struct BIT3D {
    vector<vector<vector<T>>> bit;
    int N, M, K;
    BIT3D(int n, int m, int k) : N(n), M(m), K(k) {
        bit.resize(n + 1);
        for (auto &v : bit) {
			v.resize(m + 1);
			for (auto &vv : v) vv.resize(k + 1);
		}
    }
    void upd(int x, int y, int z, T v) {
        for (x++; x <= N; x += x & -x) {
            for (int i = y + 1; i <= M; i += i & -i) {
				for (int j = z + 1; j <= K; j += j & -j) {
					bit[x][i][j] += v;
				}
            }
        }
    } 
    T query(int x, int y, int z) {
        T res = T();
        for (x++; x; x -= x & -x) {
            for (int i = y + 1; i; i -= i & -i) {
				for (int j = z + 1; j; j -= j & -j) {
					res += bit[x][i][j];
				}
            }
        }
        return res;
    }
};

vector<ar<int, 3>> a;
vi xs, ys, zs;
int b, n, d, m;


ll solve1() {
	sort(all(a));
	ll res = 0;
	for (int i : rep(n)) {
		ar<int, 3> targ = a[i];
		targ[0] += d;
		int it = ub(all(a), targ) - a.begin();
		res += it - i - 1;
	}
	return res;
}
ll solve2() {
	for (int i : rep(n)) {
		auto [x, y, _] = a[i];
		xs.pb(x + y), ys.pb(x - y);
		xs.pb(x + y + d), xs.pb(x + y - d);
		ys.pb(x - y + d), ys.pb(x - y - d);
	}
	sort(all(xs)), sort(all(ys));
	xs.resize(unique(all(xs)) - xs.begin());
	ys.resize(unique(all(ys)) - ys.begin());
	BIT2D<int> bit(sz(xs), sz(ys));
	ll res = 0;
	auto getX = [&](int x) -> int { return lb(all(xs), x) - xs.begin(); };
	auto getY = [&](int y) -> int { return lb(all(ys), y) - ys.begin(); };
	for (int i : rep(n)) {
		auto [x, y, _] = a[i];
		bit.upd(getX(x + y), getY(x - y), 1);
	}
	for (int i : rep(n)) {
		auto [x, y, _] = a[i];
		int x1 = (x + y - d), x2 = (x + y + d);
		int y1 = (x - y - d), y2 = (x - y + d);
		x1 = getX(x1), x2 = getX(x2);
		y1 = getY(y1), y2 = getY(y2);
		res += bit.query(x2, y2) - bit.query(x1 - 1, y2) - bit.query(x2, y1 - 1) + bit.query(x1 - 1, y1 - 1);
		res--;
	}
	return res / 2LL;
}
ll solve3() {
	for (int i : rep(n)) {
		auto [x, y, z] = a[i];
		xs.pb(x + y + z), ys.pb(x + y - z), zs.pb(x - y - z);
		xs.pb(x + y + z + d), xs.pb(x + y + z - d);
		ys.pb(x + y - z + d), ys.pb(x + y - z - d);
		zs.pb(x - y - z + d), zs.pb(x - y - z - d);
	}
	sort(all(xs)), sort(all(ys)), sort(all(zs));
	xs.resize(unique(all(xs)) - xs.begin());
	ys.resize(unique(all(ys)) - ys.begin());
	zs.resize(unique(all(zs)) - zs.begin());
	BIT3D<int> bit(sz(xs), sz(ys), sz(zs));
	dbg(xs, ys, zs);
	ll res = 0;
	auto getX = [&](int x) -> int { return lb(all(xs), x) - xs.begin(); };
	auto getY = [&](int y) -> int { return lb(all(ys), y) - ys.begin(); };
	auto getZ = [&](int z) -> int { return lb(all(zs), z) - zs.begin(); };
	for (int i : rep(n)) {
		auto [x, y, z] = a[i];
		dbg(x + y + z, x + y - z, x - y - z);
		bit.upd(getX(x + y + z), getY(x + y - z), getZ(x - y - z), 1);
	}
	for (int i : rep(n)) {
		auto [x, y, z] = a[i];
		int x1 = (x + y + z - d), x2 = (x + y + z + d);
		int y1 = (x + y - z - d), y2 = (x + y - z + d);
		int z1 = (x - y - z - d), z2 = (x - y - z + d);
		x1 = getX(x1), x2 = getX(x2);
		y1 = getY(y1), y2 = getY(y2);
		z1 = getZ(z1), z2 = getZ(z2);
		res += bit.query(x2, y2, z2);
		res -= bit.query(x2, y2, z1 - 1);
		res -= bit.query(x2, y1 - 1, z2);
		res -= bit.query(x1 - 1, y2, z2);
		res += bit.query(x2, y1 - 1, z1 - 1);
		res += bit.query(x1 - 1, y2, z1 - 1);
		res += bit.query(x1 - 1, y1 - 1, z2);
		res -= bit.query(x1 - 1, y1 - 1, z1 - 1);
		res--;
		dbg(res);
	}
	dbg(res);
	return res / 2LL;
}

void solve()
{
	cin >> b >> n >> d >> m;
	a.resize(n);
	for (int i : rep(n)) for (int j : rep(b)) {
		cin >> a[i][j];
	}
	if (b == 1) cout << solve1() << '\n';
	else if (b == 2) cout << solve2() << '\n';
	else cout << solve3() << '\n';
}

int main()
{
	cin.tie(0)->sync_with_stdio(0);
	cin.exceptions(cin.failbit);
	int testcase = 1;
	// cin >> testcase;
	while (testcase--)
	{
		solve();
	}
#ifdef LOCAL
	cerr << "Time elapsed: " << 1.0 * (double)clock() / CLOCKS_PER_SEC << " s.\n";
#endif
}

Compilation message (stderr)

pairs.cpp: In function 'll solve3()':
pairs.cpp:80:18: warning: statement has no effect [-Wunused-value]
   80 | #define dbg(...) 42
      |                  ^~
pairs.cpp:269:2: note: in expansion of macro 'dbg'
  269 |  dbg(xs, ys, zs);
      |  ^~~
pairs.cpp:80:18: warning: statement has no effect [-Wunused-value]
   80 | #define dbg(...) 42
      |                  ^~
pairs.cpp:276:3: note: in expansion of macro 'dbg'
  276 |   dbg(x + y + z, x + y - z, x - y - z);
      |   ^~~
pairs.cpp:80:18: warning: statement has no effect [-Wunused-value]
   80 | #define dbg(...) 42
      |                  ^~
pairs.cpp:296:3: note: in expansion of macro 'dbg'
  296 |   dbg(res);
      |   ^~~
pairs.cpp:80:18: warning: statement has no effect [-Wunused-value]
   80 | #define dbg(...) 42
      |                  ^~
pairs.cpp:298:2: note: in expansion of macro 'dbg'
  298 |  dbg(res);
      |  ^~~

• Subtask 1: 6 / 6
• Subtask 2: 6 / 6
• Subtask 3: 6 / 6
• Subtask 4: 6 / 6
• Subtask 5: 6 / 6
• Subtask 6: 7 / 7
• Subtask 7: 7 / 7
• Subtask 8: 8 / 8
• Subtask 9: 0 / 8
• Subtask 10: 0 / 10
• Subtask 11: 0 / 10
• Subtask 12: 0 / 10
• Subtask 13: 0 / 10