oj.uz

Submission #639491

# Submission time Handle Problem Language Result Execution time Memory
639491 2022-09-10T08:47:11 Z ghostwriter Strange Device (APIO19_strange_device) C++14
50 / 100
 2760 ms 524288 KB 
#include <bits/stdc++.h>
using namespace std;
#ifdef LOCAL
#include <debug.h>
#endif
#define st first
#define nd second
#define pb push_back
#define pf push_front
#define _pb pop_back
#define _pf pop_front
#define lb lower_bound
#define ub upper_bound
#define mtp make_tuple
#define all(x) (x).begin(), (x).end()
#define sz(x) (int)(x).size()
typedef long long ll; typedef unsigned long long ull;
typedef double db; typedef long double ldb;
typedef pair<int, int> pi; typedef pair<ll, ll> pll;
typedef vector<int> vi; typedef vector<ll> vll; typedef vector<pi> vpi; typedef vector<pll> vpll;
typedef string str;
template<typename T> T gcd(T a, T b) { return (b == 0? a : gcd(b, a % b)); }
template<typename T> T lcm(T a, T b) { return a / gcd(a, b) * b; }
#define FOR(i, l, r) for (int (i) = (l); (i) <= (r); ++(i))
#define FOS(i, r, l) for (int (i) = (r); (i) >= (l); --(i))
#define EACH(i, x) for (auto &(i) : (x))
#define WHILE while
#define file "TEST"
mt19937 rd(chrono::steady_clock::now().time_since_epoch().count());
ll rand(ll l, ll r) { return uniform_int_distribution<ll>(l, r)(rd); }
/*
    Tran The Bao
    CTL - Da Lat
    Cay ngay cay dem nhung deo duoc cong nhan
*/
const int N = 1e6 + 1;
int n;
ll A, B, S = 0, L = 0;
pll a[N];
namespace subtask1 {
	map<pll, bool> d;
	void solve() {
		int rs = 0;
		FOR(i, 1, n) {
			ll l = a[i].st, r = a[i].nd;
			for (ll t = l; t <= r; ++t) {
				ll x = (t + t / B) % A, y = t % B;
				if (d.count({x, y})) continue;
				d[{x, y}] = 1;
				++rs;
			}
		}
		cout << rs;
	}
}
namespace subtask2 {
	ll rs = 0;
	void solve() {
		ll l = a[1].st, r = a[1].nd;
		ll C = A / gcd(A, B + 1);
		ll pr = max(r - (r % B - l % B + B) % B - 1, l - 1);
		rs += (r - pr) * min((r - l + 1) / B + 1, C);
		rs += (min(B, r - l + 1) - r + pr) * min(r / B - l / B, C);
		cout << rs;
	}
}
struct Query {
	ll l, r, l1, r1;
	Query() {}
	Query(ll l, ll r, ll l1, ll r1) : l(l), r(r), l1(l1), r1(r1) {}
};
struct Event {
	bool type;
	ll t, l1, r1;
	Event() {}
	Event(bool type, ll t, ll l1, ll r1) : type(type), t(t), l1(l1), r1(r1) {}
};
bool cmp(Event &a, Event &b) {
	if (a.t != b.t) return a.t < b.t;
	return a.type < b.type;
}
namespace subtask3456 {
	const int T = 4e6 + 1;
	vector<Query> query;
	vector<Event> e;
	int tr[T], f[T];
	ll rs = 0;
	void upd(int i, int l, int r, int ql, int qr, int v) {
		if (r < ql || l > qr) return;
		if (ql <= l && r <= qr) {
			tr[i] += v;
			f[i] = (tr[i]? r - l + 1 : l != r? f[i * 2] + f[i * 2 + 1] : 0);
			return;
		}
		int mid = l + (r - l) / 2;
		upd(i * 2, l, mid, ql, qr, v);
		upd(i * 2 + 1, mid + 1, r, ql, qr, v);
		f[i] = (tr[i]? r - l + 1 : l != r? f[i * 2] + f[i * 2 + 1] : 0);
	}
	void solve() {
		ll C = A / gcd(A, B + 1);
		FOR(i, 1, n) {
			ll l = a[i].st, r = a[i].nd;
			if ((r - l + 1) >= B * C) {
				cout << B * C;
				return;
			}
		}
		FOR(i, 1, n) {
			ll l = a[i].st, r = a[i].nd;
			if (l % B != 0) {
				ll nr = min(r, l + B - 1 - l % B);
				ll l1 = l / B % C, r1 = nr / B % C;
				if (l1 <= r1) query.pb(Query(l1, r1, l % B, nr % B));
				else {
					query.pb(Query(l1, C - 1, l % B, nr % B));
					query.pb(Query(0, r1, l % B, nr % B));
				}
				l = nr + 1;
			}
			if (l > r) continue;
			if (r % B != B - 1) {
				ll nr = r - (r % B) - 1;
				if (l <= nr) {
					ll l1 = l / B % C, r1 = nr / B % C;
					if (l1 <= r1) query.pb(Query(l1, r1, l % B, nr % B));
					else {
						query.pb(Query(l1, C - 1, l % B, nr % B));
						query.pb(Query(0, r1, l % B, nr % B));
					}
					l = nr + 1;
				}
			}
			if (l > r) continue;
			ll l1 = l / B % C, r1 = r / B % C;
			if (l1 <= r1) query.pb(Query(l1, r1, l % B, r % B));
			else {
				query.pb(Query(l1, C - 1, l % B, r % B));
				query.pb(Query(0, r1, l % B, r % B));
			}
		}
		EACH(i, query) {
			ll l = i.l, r = i.r, l1 = i.l1, r1 = i.r1;
			e.pb(Event(0, l, l1, r1));
			e.pb(Event(1, r, l1, r1));
		}
		sort(all(e), cmp);
		int m = sz(e);
		ll pre = e[0].t - 1;
		FOR(i, 0, m - 1) {
			bool type = e[i].type;
			ll t = e[i].t, l1 = e[i].l1, r1 = e[i].r1;
			if (type == 1 && (i == 0 || e[i - 1].type == 0 || e[i - 1].t != t)) {
				rs += f[1] * (t - pre);
			}
			upd(1, 0, B - 1, l1, r1, type == 0? 1 : -1);
			if (type == 0 && i > 0 && e[i - 1].type == 1) pre = e[i].t - 1;
			if (i < m - 1 && e[i + 1].type == type && e[i + 1].t == t) continue;
			if (type == 0) {
				rs += f[1] * (t - pre);
			}
			pre = t;
		}
		cout << rs;
	}
}
namespace subtask78 {
	struct Node {
		ll l, r;
		int cnt;
		ll mrk;
		Node *left, *right;
		Node() : l(0), r(0), cnt(0), mrk(0), left(0), right(0) {}
		Node(ll l, ll r, int cnt, ll mrk, Node *left, Node *right) : l(l), r(r), cnt(0), mrk(0), left(left), right(right) {}
	};
	vector<Query> query;
	vector<Event> e;
	ll rs = 0;
	Node *root;
	map<ll, bool> c;
	vll v;
	void build(Node *cur) {
		int l = lb(all(v), cur -> l) - v.begin(), r = ub(all(v), cur -> r) - v.begin() - 1;
		if (l > r) return;
		if (l == r) {
			if (cur -> l == v[l]) {
				Node *left = new Node(cur -> l, v[l], 0, 0, 0, 0);
				Node *right = new Node(v[l] + 1, cur -> r, 0, 0, 0, 0);
				cur -> left = left;
				cur -> right = right;
				build(cur -> left);
				build(cur -> right);
				return;		
			}
			if (cur -> r == v[l]) {
				Node left(cur -> l, v[l] - 1, 0, 0, 0, 0);
				Node right(v[l], cur -> r, 0, 0, 0, 0);
				cur -> left = &left;
				cur -> right = &right;
				build(cur -> left);
				build(cur -> right);
				return;		
			}
			return;
		}
		int mid = (l + r) / 2;
		Node *left = new Node(cur -> l, v[mid], 0, 0, 0, 0);
		Node *right = new Node(v[mid] + 1, cur -> r, 0, 0, 0, 0);
		cur -> left = left;
		cur -> right = right;
		build(cur -> left);
		build(cur -> right);
	}
	void upd(Node *cur, ll ql, ll qr, int v) {
		ll l = cur -> l, r = cur -> r;
		if (r < ql || l > qr) return;
		if (ql <= l && r <= qr) {
			cur -> cnt += v;
			cur -> mrk =
			(cur -> cnt? r - l + 1 : (cur -> left? cur -> left -> mrk : 0) + (cur -> right? cur -> right -> mrk : 0));
			return;
		}
		if (cur -> left) upd(cur -> left, ql, qr, v);
		if (cur -> right) upd(cur -> right, ql, qr, v);
		cur -> mrk = (cur -> cnt? r - l + 1 : (cur -> left? cur -> left -> mrk : 0) + (cur -> right? cur -> right -> mrk : 0));
	}
	void solve() {
		ll C = A / gcd(A, B + 1);
		FOR(i, 1, n) {
			ll l = a[i].st, r = a[i].nd;
			if ((ldb)((ldb)r - l + 1) / C >= B) {
				cout << B * C;
				return;
			}
		}
		FOR(i, 1, n) {
			ll l = a[i].st, r = a[i].nd;
			if (l % B != 0) {
				ll nr = min(r, l + B - 1 - l % B);
				ll l1 = l / B % C, r1 = nr / B % C;
				if (l1 <= r1) query.pb(Query(l1, r1, l % B, nr % B));
				else {
					query.pb(Query(l1, C - 1, l % B, nr % B));
					query.pb(Query(0, r1, l % B, nr % B));
				}
				l = nr + 1;
			}
			if (l > r) continue;
			if (r % B != B - 1) {
				ll nr = r - (r % B) - 1;
				if (l <= nr) {
					ll l1 = l / B % C, r1 = nr / B % C;
					if (l1 <= r1) query.pb(Query(l1, r1, l % B, nr % B));
					else {
						query.pb(Query(l1, C - 1, l % B, nr % B));
						query.pb(Query(0, r1, l % B, nr % B));
					}
					l = nr + 1;
				}
			}
			if (l > r) continue;
			ll l1 = l / B % C, r1 = r / B % C;
			if (l1 <= r1) query.pb(Query(l1, r1, l % B, r % B));
			else {
				query.pb(Query(l1, C - 1, l % B, r % B));
				query.pb(Query(0, r1, l % B, r % B));
			}
		}
		EACH(i, query) {
			ll l = i.l, r = i.r, l1 = i.l1, r1 = i.r1;
			if (!c.count(l1)) {
				v.pb(l1);
				c[l1] = 1;
			}
			if (!c.count(r1)) {
				v.pb(r1);
				c[r1] = 1;
			}
			e.pb(Event(0, l, l1, r1));
			e.pb(Event(1, r, l1, r1));
		}
		sort(all(e), cmp);
		int m = sz(e);
		ll pre = e[0].t - 1;
		sort(all(v));
		root = new Node(v[0], v[sz(v) - 1], 0, 0, 0, 0);
		build(root);
		FOR(i, 0, m - 1) {
			bool type = e[i].type;
			ll t = e[i].t, l1 = e[i].l1, r1 = e[i].r1;
			if (type == 1 && (i == 0 || e[i - 1].type == 0 || e[i - 1].t != t)) {
				rs += root -> mrk * (t - pre);
			}
			upd(root, l1, r1, type == 0? 1 : -1);
			if (type == 0 && i > 0 && e[i - 1].type == 1) pre = e[i].t - 1;
			if (i < m - 1 && e[i + 1].type == type && e[i + 1].t == t) continue;
			if (type == 0) {
				rs += root -> mrk * (t - pre);
			}
			pre = t;
		}
		cout << rs;
	}
}
signed main() {
    ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0);
    // freopen(file".inp", "r", stdin);
    // freopen(file".out", "w", stdout);
    cin >> n >> A >> B;
    FOR(i, 1, n) {
    	cin >> a[i].st >> a[i].nd;
    	S += a[i].nd - a[i].st + 1;
    	L = max(L, a[i].nd - a[i].st + 1);
    }
    if (S <= 1e6) {
    	subtask1::solve();
    	return 0;
    }
    if (n == 1) {
    	subtask2::solve();
    	return 0;
    }
    if (B <= 1e6) {
    	subtask3456::solve();
    	return 0;
    }
    subtask78::solve();
    // cerr << "\nTime: " << setprecision(6) << fixed << (ldb)clock() / CLOCKS_PER_SEC << "ms\n";
    return 0;
}
/*
3 3 3
4 4
7 9
17 18
*/

Compilation message

strange_device.cpp: In function 'void subtask1::solve()':
strange_device.cpp:24:31: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
   24 | #define FOR(i, l, r) for (int (i) = (l); (i) <= (r); ++(i))
      |                               ^
strange_device.cpp:44:3: note: in expansion of macro 'FOR'
   44 |   FOR(i, 1, n) {
      |   ^~~
strange_device.cpp: In function 'void subtask3456::solve()':
strange_device.cpp:24:31: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
   24 | #define FOR(i, l, r) for (int (i) = (l); (i) <= (r); ++(i))
      |                               ^
strange_device.cpp:102:3: note: in expansion of macro 'FOR'
  102 |   FOR(i, 1, n) {
      |   ^~~
strange_device.cpp:24:31: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
   24 | #define FOR(i, l, r) for (int (i) = (l); (i) <= (r); ++(i))
      |                               ^
strange_device.cpp:109:3: note: in expansion of macro 'FOR'
  109 |   FOR(i, 1, n) {
      |   ^~~
strange_device.cpp:26:31: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
   26 | #define EACH(i, x) for (auto &(i) : (x))
      |                               ^
strange_device.cpp:142:3: note: in expansion of macro 'EACH'
  142 |   EACH(i, query) {
      |   ^~~~
strange_device.cpp:24:31: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
   24 | #define FOR(i, l, r) for (int (i) = (l); (i) <= (r); ++(i))
      |                               ^
strange_device.cpp:150:3: note: in expansion of macro 'FOR'
  150 |   FOR(i, 0, m - 1) {
      |   ^~~
strange_device.cpp: In function 'void subtask78::solve()':
strange_device.cpp:24:31: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
   24 | #define FOR(i, l, r) for (int (i) = (l); (i) <= (r); ++(i))
      |                               ^
strange_device.cpp:229:3: note: in expansion of macro 'FOR'
  229 |   FOR(i, 1, n) {
      |   ^~~
strange_device.cpp:24:31: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
   24 | #define FOR(i, l, r) for (int (i) = (l); (i) <= (r); ++(i))
      |                               ^
strange_device.cpp:236:3: note: in expansion of macro 'FOR'
  236 |   FOR(i, 1, n) {
      |   ^~~
strange_device.cpp:26:31: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
   26 | #define EACH(i, x) for (auto &(i) : (x))
      |                               ^
strange_device.cpp:269:3: note: in expansion of macro 'EACH'
  269 |   EACH(i, query) {
      |   ^~~~
strange_device.cpp:24:31: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
   24 | #define FOR(i, l, r) for (int (i) = (l); (i) <= (r); ++(i))
      |                               ^
strange_device.cpp:288:3: note: in expansion of macro 'FOR'
  288 |   FOR(i, 0, m - 1) {
      |   ^~~
strange_device.cpp: In function 'int main()':
strange_device.cpp:24:31: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
   24 | #define FOR(i, l, r) for (int (i) = (l); (i) <= (r); ++(i))
      |                               ^
strange_device.cpp:310:5: note: in expansion of macro 'FOR'
  310 |     FOR(i, 1, n) {
      |     ^~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 56 ms 12444 KB Output is correct
3 Correct 83 ms 18100 KB Output is correct
4 Correct 2 ms 852 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 8 ms 1140 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 1 ms 356 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 42 ms 6968 KB Output is correct
16 Correct 36 ms 6864 KB Output is correct
17 Correct 68 ms 8148 KB Output is correct
18 Correct 0 ms 212 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 212 KB Output is correct

Subtask #3
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 173 ms 32432 KB Output is correct
3 Correct 200 ms 32088 KB Output is correct
4 Correct 152 ms 30688 KB Output is correct
5 Correct 542 ms 113064 KB Output is correct

Subtask #4
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 797 ms 113008 KB Output is correct
3 Correct 826 ms 113052 KB Output is correct
4 Correct 777 ms 113112 KB Output is correct

Subtask #5
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 797 ms 113008 KB Output is correct
3 Correct 826 ms 113052 KB Output is correct
4 Correct 777 ms 113112 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 2105 ms 372832 KB Output is correct
7 Correct 806 ms 113100 KB Output is correct
8 Correct 1873 ms 372804 KB Output is correct
9 Correct 2313 ms 372624 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 797 ms 113008 KB Output is correct
3 Correct 826 ms 113052 KB Output is correct
4 Correct 777 ms 113112 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 136 ms 24748 KB Output is correct
7 Correct 191 ms 44272 KB Output is correct
8 Correct 178 ms 44232 KB Output is correct
9 Correct 176 ms 44272 KB Output is correct
10 Correct 121 ms 23864 KB Output is correct
11 Correct 189 ms 44220 KB Output is correct
12 Correct 176 ms 44268 KB Output is correct
13 Correct 227 ms 44244 KB Output is correct
14 Correct 134 ms 27832 KB Output is correct
15 Correct 232 ms 24856 KB Output is correct
16 Correct 189 ms 27992 KB Output is correct
17 Correct 284 ms 46580 KB Output is correct
18 Correct 2274 ms 372652 KB Output is correct
19 Correct 2149 ms 372820 KB Output is correct
20 Correct 2760 ms 372716 KB Output is correct
21 Correct 260 ms 44312 KB Output is correct
22 Correct 169 ms 44228 KB Output is correct
23 Correct 193 ms 49244 KB Output is correct

Subtask #7
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 111 ms 13504 KB Output is correct
3 Runtime error 420 ms 524288 KB Execution killed with signal 9
4 Halted 0 ms 0 KB -

Subtask #8
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 56 ms 12444 KB Output is correct
3 Correct 83 ms 18100 KB Output is correct
4 Correct 2 ms 852 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 8 ms 1140 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 1 ms 356 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 42 ms 6968 KB Output is correct
16 Correct 36 ms 6864 KB Output is correct
17 Correct 68 ms 8148 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 340 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 340 KB Output is correct
22 Correct 0 ms 340 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 173 ms 32432 KB Output is correct
26 Correct 200 ms 32088 KB Output is correct
27 Correct 152 ms 30688 KB Output is correct
28 Correct 542 ms 113064 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 797 ms 113008 KB Output is correct
31 Correct 826 ms 113052 KB Output is correct
32 Correct 777 ms 113112 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 2105 ms 372832 KB Output is correct
35 Correct 806 ms 113100 KB Output is correct
36 Correct 1873 ms 372804 KB Output is correct
37 Correct 2313 ms 372624 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 136 ms 24748 KB Output is correct
40 Correct 191 ms 44272 KB Output is correct
41 Correct 178 ms 44232 KB Output is correct
42 Correct 176 ms 44272 KB Output is correct
43 Correct 121 ms 23864 KB Output is correct
44 Correct 189 ms 44220 KB Output is correct
45 Correct 176 ms 44268 KB Output is correct
46 Correct 227 ms 44244 KB Output is correct
47 Correct 134 ms 27832 KB Output is correct
48 Correct 232 ms 24856 KB Output is correct
49 Correct 189 ms 27992 KB Output is correct
50 Correct 284 ms 46580 KB Output is correct
51 Correct 2274 ms 372652 KB Output is correct
52 Correct 2149 ms 372820 KB Output is correct
53 Correct 2760 ms 372716 KB Output is correct
54 Correct 260 ms 44312 KB Output is correct
55 Correct 169 ms 44228 KB Output is correct
56 Correct 193 ms 49244 KB Output is correct
57 Correct 0 ms 212 KB Output is correct
58 Correct 111 ms 13504 KB Output is correct
59 Runtime error 420 ms 524288 KB Execution killed with signal 9
60 Halted 0 ms 0 KB -