Submission #639613

# Submission time Handle Problem Language Result Execution time Memory
639613 2022-09-10T17:42:29 Z ghostwriter Strange Device (APIO19_strange_device) C++14
70 / 100
2979 ms 372820 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;
	void solve() {
		ll g = gcd(A, B + 1), C;
		if (A / g > 2e18 / B || A / g > 2e18 / 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));
		ll pre = -1;
		EACH(i, b) {
			ll l = i.st, r = i.nd;
			if (pre < l) {
				rs += r - l + 1;
				pre = r;
			}
			else if (r > pre) {
				rs += 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:174:3: note: in expansion of macro 'FOR'
  174 |   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:190:3: note: in expansion of macro 'EACH'
  190 |   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:209:5: note: in expansion of macro 'FOR'
  209 |     FOR(i, 1, n) {
      |     ^~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 69 ms 12408 KB Output is correct
3 Correct 89 ms 17996 KB Output is correct
4 Correct 3 ms 852 KB Output is correct
5 Correct 0 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 1108 KB Output is correct
10 Correct 0 ms 340 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 49 ms 6968 KB Output is correct
16 Correct 33 ms 6860 KB Output is correct
17 Correct 64 ms 8160 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 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 175 ms 32316 KB Output is correct
3 Correct 230 ms 31968 KB Output is correct
4 Correct 145 ms 30504 KB Output is correct
5 Correct 491 ms 113052 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 803 ms 113156 KB Output is correct
3 Correct 844 ms 113104 KB Output is correct
4 Correct 785 ms 113000 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 803 ms 113156 KB Output is correct
3 Correct 844 ms 113104 KB Output is correct
4 Correct 785 ms 113000 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 2143 ms 372820 KB Output is correct
7 Correct 830 ms 113096 KB Output is correct
8 Correct 1931 ms 372680 KB Output is correct
9 Correct 2365 ms 372628 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 803 ms 113156 KB Output is correct
3 Correct 844 ms 113104 KB Output is correct
4 Correct 785 ms 113000 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 130 ms 24632 KB Output is correct
7 Correct 207 ms 44196 KB Output is correct
8 Correct 194 ms 44292 KB Output is correct
9 Correct 179 ms 44232 KB Output is correct
10 Correct 125 ms 23828 KB Output is correct
11 Correct 194 ms 44256 KB Output is correct
12 Correct 192 ms 44216 KB Output is correct
13 Correct 241 ms 44296 KB Output is correct
14 Correct 155 ms 27760 KB Output is correct
15 Correct 243 ms 24860 KB Output is correct
16 Correct 209 ms 27896 KB Output is correct
17 Correct 336 ms 46528 KB Output is correct
18 Correct 2563 ms 372608 KB Output is correct
19 Correct 2388 ms 372640 KB Output is correct
20 Correct 2979 ms 372728 KB Output is correct
21 Correct 281 ms 44264 KB Output is correct
22 Correct 199 ms 44280 KB Output is correct
23 Correct 234 ms 49232 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 123 ms 13484 KB Output is correct
3 Correct 42 ms 4032 KB Output is correct
4 Correct 512 ms 32524 KB Output is correct
5 Correct 39 ms 4028 KB Output is correct
6 Correct 41 ms 3992 KB Output is correct
7 Correct 40 ms 3980 KB Output is correct
8 Correct 245 ms 17416 KB Output is correct
9 Correct 43 ms 4040 KB Output is correct
10 Correct 55 ms 4032 KB Output is correct
11 Correct 55 ms 4036 KB Output is correct
12 Correct 37 ms 4048 KB Output is correct
13 Correct 172 ms 14488 KB Output is correct
14 Correct 1445 ms 126572 KB Output is correct
15 Correct 192 ms 13368 KB Output is correct
16 Correct 390 ms 32512 KB Output is correct
17 Correct 1667 ms 190408 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 69 ms 12408 KB Output is correct
3 Correct 89 ms 17996 KB Output is correct
4 Correct 3 ms 852 KB Output is correct
5 Correct 0 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 1108 KB Output is correct
10 Correct 0 ms 340 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 49 ms 6968 KB Output is correct
16 Correct 33 ms 6860 KB Output is correct
17 Correct 64 ms 8160 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 212 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 175 ms 32316 KB Output is correct
26 Correct 230 ms 31968 KB Output is correct
27 Correct 145 ms 30504 KB Output is correct
28 Correct 491 ms 113052 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 803 ms 113156 KB Output is correct
31 Correct 844 ms 113104 KB Output is correct
32 Correct 785 ms 113000 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 2143 ms 372820 KB Output is correct
35 Correct 830 ms 113096 KB Output is correct
36 Correct 1931 ms 372680 KB Output is correct
37 Correct 2365 ms 372628 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 130 ms 24632 KB Output is correct
40 Correct 207 ms 44196 KB Output is correct
41 Correct 194 ms 44292 KB Output is correct
42 Correct 179 ms 44232 KB Output is correct
43 Correct 125 ms 23828 KB Output is correct
44 Correct 194 ms 44256 KB Output is correct
45 Correct 192 ms 44216 KB Output is correct
46 Correct 241 ms 44296 KB Output is correct
47 Correct 155 ms 27760 KB Output is correct
48 Correct 243 ms 24860 KB Output is correct
49 Correct 209 ms 27896 KB Output is correct
50 Correct 336 ms 46528 KB Output is correct
51 Correct 2563 ms 372608 KB Output is correct
52 Correct 2388 ms 372640 KB Output is correct
53 Correct 2979 ms 372728 KB Output is correct
54 Correct 281 ms 44264 KB Output is correct
55 Correct 199 ms 44280 KB Output is correct
56 Correct 234 ms 49232 KB Output is correct
57 Correct 0 ms 212 KB Output is correct
58 Correct 123 ms 13484 KB Output is correct
59 Correct 42 ms 4032 KB Output is correct
60 Correct 512 ms 32524 KB Output is correct
61 Correct 39 ms 4028 KB Output is correct
62 Correct 41 ms 3992 KB Output is correct
63 Correct 40 ms 3980 KB Output is correct
64 Correct 245 ms 17416 KB Output is correct
65 Correct 43 ms 4040 KB Output is correct
66 Correct 55 ms 4032 KB Output is correct
67 Correct 55 ms 4036 KB Output is correct
68 Correct 37 ms 4048 KB Output is correct
69 Correct 172 ms 14488 KB Output is correct
70 Correct 1445 ms 126572 KB Output is correct
71 Correct 192 ms 13368 KB Output is correct
72 Correct 390 ms 32512 KB Output is correct
73 Correct 1667 ms 190408 KB Output is correct
74 Correct 0 ms 212 KB Output is correct
75 Correct 1 ms 212 KB Output is correct
76 Correct 0 ms 212 KB Output is correct
77 Correct 0 ms 340 KB Output is correct
78 Incorrect 0 ms 468 KB Output isn't correct
79 Halted 0 ms 0 KB -