Submission #639595

# Submission time Handle Problem Language Result Execution time Memory
639595 2022-09-10T17:19:20 Z ghostwriter Strange Device (APIO19_strange_device) C++14
70 / 100
2790 ms 372760 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 {
	ll rs = 0;
	vpll b;
	bool cmp(pll &a, pll &b) { return a.nd != b.nd? a.nd < b.nd : a.st < b.st; }
	void solve() {
		ll g = gcd(A, B + 1), C;
		if ((ldb)A / g > 1e18 / B) C = 2e18;
		else C = A / g * B;
		FOR(i, 1, n) {
			ll l = a[i].st, r = a[i].nd;
			if (r - l + 1 >= C) {
				cout << C;
				return;
			}
			l %= C;
			r %= C;
			if (l <= r) b.pb({l, r});
			else {
				b.pb({l, C - 1});
				b.pb({0, r});
			}
		}
		sort(all(b), cmp);
		ll pre = -1;
		EACH(i, b) {
			ll l = i.st, r = i.nd;
			if (r == pre) continue;
			rs += min(r - l + 1, r - pre);
			pre = r;
		}
		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:175:3: note: in expansion of macro 'FOR'
  175 |   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:191:3: note: in expansion of macro 'EACH'
  191 |   EACH(i, b) {
      |   ^~~~
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:205:5: note: in expansion of macro 'FOR'
  205 |     FOR(i, 1, n) {
      |     ^~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 55 ms 12488 KB Output is correct
3 Correct 83 ms 17992 KB Output is correct
4 Correct 3 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 1152 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 44 ms 7044 KB Output is correct
16 Correct 32 ms 6888 KB Output is correct
17 Correct 59 ms 8168 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 1 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 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 167 ms 32244 KB Output is correct
3 Correct 202 ms 32044 KB Output is correct
4 Correct 140 ms 30516 KB Output is correct
5 Correct 476 ms 113108 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 776 ms 113148 KB Output is correct
3 Correct 804 ms 113052 KB Output is correct
4 Correct 774 ms 113072 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 776 ms 113148 KB Output is correct
3 Correct 804 ms 113052 KB Output is correct
4 Correct 774 ms 113072 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 2303 ms 372600 KB Output is correct
7 Correct 864 ms 113144 KB Output is correct
8 Correct 1893 ms 372648 KB Output is correct
9 Correct 2303 ms 372628 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 776 ms 113148 KB Output is correct
3 Correct 804 ms 113052 KB Output is correct
4 Correct 774 ms 113072 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 123 ms 24744 KB Output is correct
7 Correct 195 ms 44288 KB Output is correct
8 Correct 184 ms 44220 KB Output is correct
9 Correct 176 ms 44296 KB Output is correct
10 Correct 121 ms 24000 KB Output is correct
11 Correct 190 ms 44312 KB Output is correct
12 Correct 176 ms 44260 KB Output is correct
13 Correct 230 ms 44208 KB Output is correct
14 Correct 132 ms 27780 KB Output is correct
15 Correct 213 ms 24868 KB Output is correct
16 Correct 186 ms 27944 KB Output is correct
17 Correct 297 ms 46656 KB Output is correct
18 Correct 2271 ms 372760 KB Output is correct
19 Correct 2140 ms 372668 KB Output is correct
20 Correct 2790 ms 372688 KB Output is correct
21 Correct 255 ms 44212 KB Output is correct
22 Correct 170 ms 44216 KB Output is correct
23 Correct 197 ms 49308 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 114 ms 13512 KB Output is correct
3 Correct 49 ms 4048 KB Output is correct
4 Correct 535 ms 32448 KB Output is correct
5 Correct 52 ms 4036 KB Output is correct
6 Correct 49 ms 4040 KB Output is correct
7 Correct 50 ms 4072 KB Output is correct
8 Correct 184 ms 17412 KB Output is correct
9 Correct 47 ms 4048 KB Output is correct
10 Correct 49 ms 3996 KB Output is correct
11 Correct 49 ms 4032 KB Output is correct
12 Correct 42 ms 4212 KB Output is correct
13 Correct 170 ms 14480 KB Output is correct
14 Correct 1365 ms 126540 KB Output is correct
15 Correct 135 ms 13380 KB Output is correct
16 Correct 441 ms 32484 KB Output is correct
17 Correct 1559 ms 190732 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 55 ms 12488 KB Output is correct
3 Correct 83 ms 17992 KB Output is correct
4 Correct 3 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 1152 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 44 ms 7044 KB Output is correct
16 Correct 32 ms 6888 KB Output is correct
17 Correct 59 ms 8168 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 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 167 ms 32244 KB Output is correct
26 Correct 202 ms 32044 KB Output is correct
27 Correct 140 ms 30516 KB Output is correct
28 Correct 476 ms 113108 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 776 ms 113148 KB Output is correct
31 Correct 804 ms 113052 KB Output is correct
32 Correct 774 ms 113072 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 2303 ms 372600 KB Output is correct
35 Correct 864 ms 113144 KB Output is correct
36 Correct 1893 ms 372648 KB Output is correct
37 Correct 2303 ms 372628 KB Output is correct
38 Correct 0 ms 340 KB Output is correct
39 Correct 123 ms 24744 KB Output is correct
40 Correct 195 ms 44288 KB Output is correct
41 Correct 184 ms 44220 KB Output is correct
42 Correct 176 ms 44296 KB Output is correct
43 Correct 121 ms 24000 KB Output is correct
44 Correct 190 ms 44312 KB Output is correct
45 Correct 176 ms 44260 KB Output is correct
46 Correct 230 ms 44208 KB Output is correct
47 Correct 132 ms 27780 KB Output is correct
48 Correct 213 ms 24868 KB Output is correct
49 Correct 186 ms 27944 KB Output is correct
50 Correct 297 ms 46656 KB Output is correct
51 Correct 2271 ms 372760 KB Output is correct
52 Correct 2140 ms 372668 KB Output is correct
53 Correct 2790 ms 372688 KB Output is correct
54 Correct 255 ms 44212 KB Output is correct
55 Correct 170 ms 44216 KB Output is correct
56 Correct 197 ms 49308 KB Output is correct
57 Correct 0 ms 212 KB Output is correct
58 Correct 114 ms 13512 KB Output is correct
59 Correct 49 ms 4048 KB Output is correct
60 Correct 535 ms 32448 KB Output is correct
61 Correct 52 ms 4036 KB Output is correct
62 Correct 49 ms 4040 KB Output is correct
63 Correct 50 ms 4072 KB Output is correct
64 Correct 184 ms 17412 KB Output is correct
65 Correct 47 ms 4048 KB Output is correct
66 Correct 49 ms 3996 KB Output is correct
67 Correct 49 ms 4032 KB Output is correct
68 Correct 42 ms 4212 KB Output is correct
69 Correct 170 ms 14480 KB Output is correct
70 Correct 1365 ms 126540 KB Output is correct
71 Correct 135 ms 13380 KB Output is correct
72 Correct 441 ms 32484 KB Output is correct
73 Correct 1559 ms 190732 KB Output is correct
74 Correct 0 ms 340 KB Output is correct
75 Correct 0 ms 212 KB Output is correct
76 Correct 1 ms 340 KB Output is correct
77 Correct 1 ms 224 KB Output is correct
78 Incorrect 1 ms 468 KB Output isn't correct
79 Halted 0 ms 0 KB -