oj.uz

Submission #639599

# Submission time Handle Problem Language Result Execution time Memory
639599 2022-09-10T17:25:41 Z ghostwriter Strange Device (APIO19_strange_device) C++14
50 / 100
 2863 ms 372804 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 (A / g > 1e18 / (B + 1)) C = 1e18 + 5;
		else C = A / g * (B + 1);
		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;
			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:204:5: note: in expansion of macro 'FOR'
  204 |     FOR(i, 1, n) {
      |     ^~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 56 ms 12432 KB Output is correct
3 Correct 82 ms 18000 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 11 ms 1364 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 41 ms 7048 KB Output is correct
16 Correct 34 ms 6800 KB Output is correct
17 Correct 66 ms 8200 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 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 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 164 ms 32272 KB Output is correct
3 Correct 200 ms 32052 KB Output is correct
4 Correct 141 ms 30628 KB Output is correct
5 Correct 495 ms 113080 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 796 ms 113072 KB Output is correct
3 Correct 823 ms 113144 KB Output is correct
4 Correct 775 ms 113060 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 796 ms 113072 KB Output is correct
3 Correct 823 ms 113144 KB Output is correct
4 Correct 775 ms 113060 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 2112 ms 372804 KB Output is correct
7 Correct 795 ms 112984 KB Output is correct
8 Correct 1919 ms 372660 KB Output is correct
9 Correct 2340 ms 372804 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 796 ms 113072 KB Output is correct
3 Correct 823 ms 113144 KB Output is correct
4 Correct 775 ms 113060 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 124 ms 24732 KB Output is correct
7 Correct 195 ms 44208 KB Output is correct
8 Correct 179 ms 44412 KB Output is correct
9 Correct 185 ms 44228 KB Output is correct
10 Correct 125 ms 23872 KB Output is correct
11 Correct 192 ms 44220 KB Output is correct
12 Correct 182 ms 44268 KB Output is correct
13 Correct 227 ms 44232 KB Output is correct
14 Correct 152 ms 27828 KB Output is correct
15 Correct 222 ms 24888 KB Output is correct
16 Correct 199 ms 27896 KB Output is correct
17 Correct 292 ms 46576 KB Output is correct
18 Correct 2344 ms 372636 KB Output is correct
19 Correct 2179 ms 372720 KB Output is correct
20 Correct 2863 ms 372612 KB Output is correct
21 Correct 262 ms 44240 KB Output is correct
22 Correct 171 ms 44216 KB Output is correct
23 Correct 194 ms 49280 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 118 ms 13516 KB Output is correct
3 Correct 58 ms 4040 KB Output is correct
4 Incorrect 513 ms 32484 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #8
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 56 ms 12432 KB Output is correct
3 Correct 82 ms 18000 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 11 ms 1364 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 41 ms 7048 KB Output is correct
16 Correct 34 ms 6800 KB Output is correct
17 Correct 66 ms 8200 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 1 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 164 ms 32272 KB Output is correct
26 Correct 200 ms 32052 KB Output is correct
27 Correct 141 ms 30628 KB Output is correct
28 Correct 495 ms 113080 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 796 ms 113072 KB Output is correct
31 Correct 823 ms 113144 KB Output is correct
32 Correct 775 ms 113060 KB Output is correct
33 Correct 0 ms 340 KB Output is correct
34 Correct 2112 ms 372804 KB Output is correct
35 Correct 795 ms 112984 KB Output is correct
36 Correct 1919 ms 372660 KB Output is correct
37 Correct 2340 ms 372804 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 124 ms 24732 KB Output is correct
40 Correct 195 ms 44208 KB Output is correct
41 Correct 179 ms 44412 KB Output is correct
42 Correct 185 ms 44228 KB Output is correct
43 Correct 125 ms 23872 KB Output is correct
44 Correct 192 ms 44220 KB Output is correct
45 Correct 182 ms 44268 KB Output is correct
46 Correct 227 ms 44232 KB Output is correct
47 Correct 152 ms 27828 KB Output is correct
48 Correct 222 ms 24888 KB Output is correct
49 Correct 199 ms 27896 KB Output is correct
50 Correct 292 ms 46576 KB Output is correct
51 Correct 2344 ms 372636 KB Output is correct
52 Correct 2179 ms 372720 KB Output is correct
53 Correct 2863 ms 372612 KB Output is correct
54 Correct 262 ms 44240 KB Output is correct
55 Correct 171 ms 44216 KB Output is correct
56 Correct 194 ms 49280 KB Output is correct
57 Correct 0 ms 212 KB Output is correct
58 Correct 118 ms 13516 KB Output is correct
59 Correct 58 ms 4040 KB Output is correct
60 Incorrect 513 ms 32484 KB Output isn't correct
61 Halted 0 ms 0 KB -