Submission #639611

# Submission time Handle Problem Language Result Execution time Memory
639611 2022-09-10T17:39:34 Z ghostwriter Strange Device (APIO19_strange_device) C++14
70 / 100
2951 ms 372800 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) 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 56 ms 12492 KB Output is correct
3 Correct 92 ms 18092 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 1232 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 45 ms 6940 KB Output is correct
16 Correct 38 ms 6864 KB Output is correct
17 Correct 75 ms 8108 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
# 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 212 KB Output is correct
4 Correct 0 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 340 KB Output is correct
2 Correct 186 ms 32296 KB Output is correct
3 Correct 201 ms 31996 KB Output is correct
4 Correct 149 ms 30620 KB Output is correct
5 Correct 511 ms 113080 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 783 ms 113104 KB Output is correct
3 Correct 841 ms 113084 KB Output is correct
4 Correct 806 ms 113068 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 783 ms 113104 KB Output is correct
3 Correct 841 ms 113084 KB Output is correct
4 Correct 806 ms 113068 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 2278 ms 372636 KB Output is correct
7 Correct 815 ms 113012 KB Output is correct
8 Correct 1961 ms 372800 KB Output is correct
9 Correct 2434 ms 372700 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 783 ms 113104 KB Output is correct
3 Correct 841 ms 113084 KB Output is correct
4 Correct 806 ms 113068 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 130 ms 24724 KB Output is correct
7 Correct 246 ms 44208 KB Output is correct
8 Correct 183 ms 44200 KB Output is correct
9 Correct 186 ms 44268 KB Output is correct
10 Correct 133 ms 23892 KB Output is correct
11 Correct 192 ms 44200 KB Output is correct
12 Correct 185 ms 44272 KB Output is correct
13 Correct 284 ms 44320 KB Output is correct
14 Correct 134 ms 27856 KB Output is correct
15 Correct 233 ms 24892 KB Output is correct
16 Correct 256 ms 27960 KB Output is correct
17 Correct 312 ms 46648 KB Output is correct
18 Correct 2713 ms 372724 KB Output is correct
19 Correct 2240 ms 372716 KB Output is correct
20 Correct 2951 ms 372628 KB Output is correct
21 Correct 267 ms 44252 KB Output is correct
22 Correct 173 ms 44264 KB Output is correct
23 Correct 232 ms 49304 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 113 ms 13524 KB Output is correct
3 Correct 40 ms 4048 KB Output is correct
4 Correct 447 ms 32540 KB Output is correct
5 Correct 41 ms 4012 KB Output is correct
6 Correct 54 ms 4032 KB Output is correct
7 Correct 41 ms 4040 KB Output is correct
8 Correct 187 ms 17488 KB Output is correct
9 Correct 40 ms 4004 KB Output is correct
10 Correct 47 ms 3968 KB Output is correct
11 Correct 43 ms 4000 KB Output is correct
12 Correct 38 ms 4008 KB Output is correct
13 Correct 167 ms 14460 KB Output is correct
14 Correct 1577 ms 126544 KB Output is correct
15 Correct 139 ms 13380 KB Output is correct
16 Correct 410 ms 32540 KB Output is correct
17 Correct 1635 ms 190416 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 56 ms 12492 KB Output is correct
3 Correct 92 ms 18092 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 1232 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 45 ms 6940 KB Output is correct
16 Correct 38 ms 6864 KB Output is correct
17 Correct 75 ms 8108 KB Output is correct
18 Correct 1 ms 340 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 212 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 340 KB Output is correct
25 Correct 186 ms 32296 KB Output is correct
26 Correct 201 ms 31996 KB Output is correct
27 Correct 149 ms 30620 KB Output is correct
28 Correct 511 ms 113080 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 783 ms 113104 KB Output is correct
31 Correct 841 ms 113084 KB Output is correct
32 Correct 806 ms 113068 KB Output is correct
33 Correct 0 ms 340 KB Output is correct
34 Correct 2278 ms 372636 KB Output is correct
35 Correct 815 ms 113012 KB Output is correct
36 Correct 1961 ms 372800 KB Output is correct
37 Correct 2434 ms 372700 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 130 ms 24724 KB Output is correct
40 Correct 246 ms 44208 KB Output is correct
41 Correct 183 ms 44200 KB Output is correct
42 Correct 186 ms 44268 KB Output is correct
43 Correct 133 ms 23892 KB Output is correct
44 Correct 192 ms 44200 KB Output is correct
45 Correct 185 ms 44272 KB Output is correct
46 Correct 284 ms 44320 KB Output is correct
47 Correct 134 ms 27856 KB Output is correct
48 Correct 233 ms 24892 KB Output is correct
49 Correct 256 ms 27960 KB Output is correct
50 Correct 312 ms 46648 KB Output is correct
51 Correct 2713 ms 372724 KB Output is correct
52 Correct 2240 ms 372716 KB Output is correct
53 Correct 2951 ms 372628 KB Output is correct
54 Correct 267 ms 44252 KB Output is correct
55 Correct 173 ms 44264 KB Output is correct
56 Correct 232 ms 49304 KB Output is correct
57 Correct 1 ms 340 KB Output is correct
58 Correct 113 ms 13524 KB Output is correct
59 Correct 40 ms 4048 KB Output is correct
60 Correct 447 ms 32540 KB Output is correct
61 Correct 41 ms 4012 KB Output is correct
62 Correct 54 ms 4032 KB Output is correct
63 Correct 41 ms 4040 KB Output is correct
64 Correct 187 ms 17488 KB Output is correct
65 Correct 40 ms 4004 KB Output is correct
66 Correct 47 ms 3968 KB Output is correct
67 Correct 43 ms 4000 KB Output is correct
68 Correct 38 ms 4008 KB Output is correct
69 Correct 167 ms 14460 KB Output is correct
70 Correct 1577 ms 126544 KB Output is correct
71 Correct 139 ms 13380 KB Output is correct
72 Correct 410 ms 32540 KB Output is correct
73 Correct 1635 ms 190416 KB Output is correct
74 Correct 0 ms 212 KB Output is correct
75 Correct 0 ms 212 KB Output is correct
76 Correct 0 ms 212 KB Output is correct
77 Correct 0 ms 212 KB Output is correct
78 Incorrect 1 ms 468 KB Output isn't correct
79 Halted 0 ms 0 KB -