Submission #639584

# Submission time Handle Problem Language Result Execution time Memory
639584 2022-09-10T16:55:45 Z ghostwriter Strange Device (APIO19_strange_device) C++14
50 / 100
3793 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 mid;
		int cnt;
		ll mrk;
		Node *left, *right;
		Node() : mid(0), cnt(0), mrk(0), left(0), right(0) {}
		Node(ll mid, int cnt, ll mrk, Node *left, Node *right) : mid(mid), 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, ll nl, ll nr) {
		int l = lb(all(v), nl) - v.begin(), r = ub(all(v), nr) - v.begin() - 1;
		if (l > r) return;
		if (l == r) {
			if (nl == nr) return;
			if (nl == v[l]) {
				cur -> left = new Node(0, 0, 0, 0, 0);
				cur -> right = new Node(0, 0, 0, 0, 0);
				cur -> mid = v[l];
				build(cur -> left, nl, v[l]);
				build(cur -> right, v[l] + 1, nr);
				return;
			}
			if (nr == v[l]) {
				cur -> left = new Node(0, 0, 0, 0, 0);
				cur -> right = new Node(0, 0, 0, 0, 0);
				cur -> mid = v[l] - 1;
				build(cur -> left, nl, v[l] - 1);
				build(cur -> right, v[l], nr);
				return;
			}
			return;
		}
		int mid = (l + r) / 2;
		cur -> left = new Node(0, 0, 0, 0, 0);
		cur -> right = new Node(0, 0, 0, 0, 0);
		cur -> mid = v[mid];
		build(cur -> left, nl, v[mid]);
		build(cur -> right, v[mid] + 1, nr);
	}
	void upd(Node *cur, ll l, ll r, ll ql, ll qr, int v) {
		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, l, cur -> mid, ql, qr, v);
		if (cur -> right) upd(cur -> right, cur -> mid + 1, r, 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 || B - (ldb)((ldb)r - l + 1) / C <= 1e-6) {
				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(0, 0, 0, 0, 0);
		build(root, v[0], v[sz(v) - 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 += root -> mrk * (t - pre);
				// debug(i, root -> mrk, pre);
			}
			upd(root, v[0], v[sz(v) - 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 += root -> mrk * (t - pre);
				// debug(i, root -> mrk, 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();
    return 0;
}
/*
3 8 2
5 7
13 23
24 33
*/

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:226:3: note: in expansion of macro 'FOR'
  226 |   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:233:3: note: in expansion of macro 'FOR'
  233 |   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:266:3: note: in expansion of macro 'EACH'
  266 |   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:285:3: note: in expansion of macro 'FOR'
  285 |   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:309:5: note: in expansion of macro 'FOR'
  309 |     FOR(i, 1, n) {
      |     ^~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 69 ms 12440 KB Output is correct
3 Correct 86 ms 18104 KB Output is correct
4 Correct 3 ms 884 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 1236 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 0 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 54 ms 6936 KB Output is correct
16 Correct 37 ms 6900 KB Output is correct
17 Correct 65 ms 8196 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 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 1 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 161 ms 32312 KB Output is correct
3 Correct 208 ms 32088 KB Output is correct
4 Correct 146 ms 30620 KB Output is correct
5 Correct 496 ms 112980 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 780 ms 113068 KB Output is correct
3 Correct 824 ms 113060 KB Output is correct
4 Correct 777 ms 113008 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 780 ms 113068 KB Output is correct
3 Correct 824 ms 113060 KB Output is correct
4 Correct 777 ms 113008 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 2110 ms 372588 KB Output is correct
7 Correct 799 ms 113052 KB Output is correct
8 Correct 1927 ms 372708 KB Output is correct
9 Correct 2307 ms 372880 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 780 ms 113068 KB Output is correct
3 Correct 824 ms 113060 KB Output is correct
4 Correct 777 ms 113008 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 120 ms 24684 KB Output is correct
7 Correct 189 ms 44204 KB Output is correct
8 Correct 192 ms 44216 KB Output is correct
9 Correct 175 ms 44200 KB Output is correct
10 Correct 123 ms 24024 KB Output is correct
11 Correct 186 ms 44296 KB Output is correct
12 Correct 176 ms 44216 KB Output is correct
13 Correct 227 ms 44272 KB Output is correct
14 Correct 133 ms 27840 KB Output is correct
15 Correct 209 ms 24880 KB Output is correct
16 Correct 204 ms 27952 KB Output is correct
17 Correct 289 ms 46564 KB Output is correct
18 Correct 2249 ms 372692 KB Output is correct
19 Correct 2120 ms 372744 KB Output is correct
20 Correct 2799 ms 372812 KB Output is correct
21 Correct 258 ms 44268 KB Output is correct
22 Correct 170 ms 44256 KB Output is correct
23 Correct 198 ms 49272 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 121 ms 13504 KB Output is correct
3 Correct 345 ms 53712 KB Output is correct
4 Correct 3793 ms 348332 KB Output is correct
5 Correct 336 ms 54324 KB Output is correct
6 Correct 353 ms 54280 KB Output is correct
7 Correct 321 ms 54308 KB Output is correct
8 Correct 180 ms 17476 KB Output is correct
9 Correct 362 ms 55588 KB Output is correct
10 Correct 349 ms 53524 KB Output is correct
11 Correct 272 ms 53528 KB Output is correct
12 Correct 282 ms 53512 KB Output is correct
13 Correct 175 ms 14380 KB Output is correct
14 Correct 1385 ms 126736 KB Output is correct
15 Correct 135 ms 13288 KB Output is correct
16 Runtime error 1681 ms 524288 KB Execution killed with signal 9
17 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 69 ms 12440 KB Output is correct
3 Correct 86 ms 18104 KB Output is correct
4 Correct 3 ms 884 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 1236 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 0 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 54 ms 6936 KB Output is correct
16 Correct 37 ms 6900 KB Output is correct
17 Correct 65 ms 8196 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 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 1 ms 340 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 161 ms 32312 KB Output is correct
26 Correct 208 ms 32088 KB Output is correct
27 Correct 146 ms 30620 KB Output is correct
28 Correct 496 ms 112980 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 780 ms 113068 KB Output is correct
31 Correct 824 ms 113060 KB Output is correct
32 Correct 777 ms 113008 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 2110 ms 372588 KB Output is correct
35 Correct 799 ms 113052 KB Output is correct
36 Correct 1927 ms 372708 KB Output is correct
37 Correct 2307 ms 372880 KB Output is correct
38 Correct 0 ms 340 KB Output is correct
39 Correct 120 ms 24684 KB Output is correct
40 Correct 189 ms 44204 KB Output is correct
41 Correct 192 ms 44216 KB Output is correct
42 Correct 175 ms 44200 KB Output is correct
43 Correct 123 ms 24024 KB Output is correct
44 Correct 186 ms 44296 KB Output is correct
45 Correct 176 ms 44216 KB Output is correct
46 Correct 227 ms 44272 KB Output is correct
47 Correct 133 ms 27840 KB Output is correct
48 Correct 209 ms 24880 KB Output is correct
49 Correct 204 ms 27952 KB Output is correct
50 Correct 289 ms 46564 KB Output is correct
51 Correct 2249 ms 372692 KB Output is correct
52 Correct 2120 ms 372744 KB Output is correct
53 Correct 2799 ms 372812 KB Output is correct
54 Correct 258 ms 44268 KB Output is correct
55 Correct 170 ms 44256 KB Output is correct
56 Correct 198 ms 49272 KB Output is correct
57 Correct 0 ms 212 KB Output is correct
58 Correct 121 ms 13504 KB Output is correct
59 Correct 345 ms 53712 KB Output is correct
60 Correct 3793 ms 348332 KB Output is correct
61 Correct 336 ms 54324 KB Output is correct
62 Correct 353 ms 54280 KB Output is correct
63 Correct 321 ms 54308 KB Output is correct
64 Correct 180 ms 17476 KB Output is correct
65 Correct 362 ms 55588 KB Output is correct
66 Correct 349 ms 53524 KB Output is correct
67 Correct 272 ms 53528 KB Output is correct
68 Correct 282 ms 53512 KB Output is correct
69 Correct 175 ms 14380 KB Output is correct
70 Correct 1385 ms 126736 KB Output is correct
71 Correct 135 ms 13288 KB Output is correct
72 Runtime error 1681 ms 524288 KB Execution killed with signal 9
73 Halted 0 ms 0 KB -