Submission #639593

# Submission time Handle Problem Language Result Execution time Memory
639593 2022-09-10T17:17:47 Z ghostwriter Strange Device (APIO19_strange_device) C++14
70 / 100
2907 ms 372776 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 = 1e18 + 5;
		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 1 ms 212 KB Output is correct
2 Correct 57 ms 12464 KB Output is correct
3 Correct 88 ms 18104 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 2 ms 468 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 8 ms 1244 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 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 1 ms 340 KB Output is correct
15 Correct 45 ms 7012 KB Output is correct
16 Correct 37 ms 6868 KB Output is correct
17 Correct 66 ms 8128 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 340 KB Output is correct
3 Correct 0 ms 340 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 1 ms 212 KB Output is correct
2 Correct 178 ms 32220 KB Output is correct
3 Correct 208 ms 32052 KB Output is correct
4 Correct 142 ms 30600 KB Output is correct
5 Correct 499 ms 113044 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 224 KB Output is correct
2 Correct 803 ms 113140 KB Output is correct
3 Correct 901 ms 113252 KB Output is correct
4 Correct 823 ms 113044 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 224 KB Output is correct
2 Correct 803 ms 113140 KB Output is correct
3 Correct 901 ms 113252 KB Output is correct
4 Correct 823 ms 113044 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 2221 ms 372712 KB Output is correct
7 Correct 819 ms 113072 KB Output is correct
8 Correct 2016 ms 372700 KB Output is correct
9 Correct 2444 ms 372776 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 224 KB Output is correct
2 Correct 803 ms 113140 KB Output is correct
3 Correct 901 ms 113252 KB Output is correct
4 Correct 823 ms 113044 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 124 ms 24728 KB Output is correct
7 Correct 205 ms 44220 KB Output is correct
8 Correct 187 ms 44216 KB Output is correct
9 Correct 183 ms 44312 KB Output is correct
10 Correct 120 ms 23824 KB Output is correct
11 Correct 197 ms 44284 KB Output is correct
12 Correct 185 ms 44220 KB Output is correct
13 Correct 233 ms 44216 KB Output is correct
14 Correct 144 ms 27744 KB Output is correct
15 Correct 219 ms 24868 KB Output is correct
16 Correct 198 ms 27940 KB Output is correct
17 Correct 301 ms 46616 KB Output is correct
18 Correct 2501 ms 372740 KB Output is correct
19 Correct 2294 ms 372756 KB Output is correct
20 Correct 2907 ms 372688 KB Output is correct
21 Correct 271 ms 44192 KB Output is correct
22 Correct 177 ms 44212 KB Output is correct
23 Correct 199 ms 49280 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 111 ms 13476 KB Output is correct
3 Correct 62 ms 4008 KB Output is correct
4 Correct 595 ms 32548 KB Output is correct
5 Correct 49 ms 4040 KB Output is correct
6 Correct 49 ms 4064 KB Output is correct
7 Correct 52 ms 4008 KB Output is correct
8 Correct 212 ms 17484 KB Output is correct
9 Correct 48 ms 4040 KB Output is correct
10 Correct 51 ms 4092 KB Output is correct
11 Correct 49 ms 4048 KB Output is correct
12 Correct 42 ms 4028 KB Output is correct
13 Correct 196 ms 14380 KB Output is correct
14 Correct 1436 ms 126552 KB Output is correct
15 Correct 150 ms 13380 KB Output is correct
16 Correct 487 ms 69628 KB Output is correct
17 Correct 1816 ms 227612 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 57 ms 12464 KB Output is correct
3 Correct 88 ms 18104 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 2 ms 468 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 8 ms 1244 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 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 1 ms 340 KB Output is correct
15 Correct 45 ms 7012 KB Output is correct
16 Correct 37 ms 6868 KB Output is correct
17 Correct 66 ms 8128 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 340 KB Output is correct
21 Correct 0 ms 340 KB Output is correct
22 Correct 0 ms 340 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 178 ms 32220 KB Output is correct
26 Correct 208 ms 32052 KB Output is correct
27 Correct 142 ms 30600 KB Output is correct
28 Correct 499 ms 113044 KB Output is correct
29 Correct 0 ms 224 KB Output is correct
30 Correct 803 ms 113140 KB Output is correct
31 Correct 901 ms 113252 KB Output is correct
32 Correct 823 ms 113044 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 2221 ms 372712 KB Output is correct
35 Correct 819 ms 113072 KB Output is correct
36 Correct 2016 ms 372700 KB Output is correct
37 Correct 2444 ms 372776 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 124 ms 24728 KB Output is correct
40 Correct 205 ms 44220 KB Output is correct
41 Correct 187 ms 44216 KB Output is correct
42 Correct 183 ms 44312 KB Output is correct
43 Correct 120 ms 23824 KB Output is correct
44 Correct 197 ms 44284 KB Output is correct
45 Correct 185 ms 44220 KB Output is correct
46 Correct 233 ms 44216 KB Output is correct
47 Correct 144 ms 27744 KB Output is correct
48 Correct 219 ms 24868 KB Output is correct
49 Correct 198 ms 27940 KB Output is correct
50 Correct 301 ms 46616 KB Output is correct
51 Correct 2501 ms 372740 KB Output is correct
52 Correct 2294 ms 372756 KB Output is correct
53 Correct 2907 ms 372688 KB Output is correct
54 Correct 271 ms 44192 KB Output is correct
55 Correct 177 ms 44212 KB Output is correct
56 Correct 199 ms 49280 KB Output is correct
57 Correct 0 ms 212 KB Output is correct
58 Correct 111 ms 13476 KB Output is correct
59 Correct 62 ms 4008 KB Output is correct
60 Correct 595 ms 32548 KB Output is correct
61 Correct 49 ms 4040 KB Output is correct
62 Correct 49 ms 4064 KB Output is correct
63 Correct 52 ms 4008 KB Output is correct
64 Correct 212 ms 17484 KB Output is correct
65 Correct 48 ms 4040 KB Output is correct
66 Correct 51 ms 4092 KB Output is correct
67 Correct 49 ms 4048 KB Output is correct
68 Correct 42 ms 4028 KB Output is correct
69 Correct 196 ms 14380 KB Output is correct
70 Correct 1436 ms 126552 KB Output is correct
71 Correct 150 ms 13380 KB Output is correct
72 Correct 487 ms 69628 KB Output is correct
73 Correct 1816 ms 227612 KB Output is correct
74 Correct 1 ms 212 KB Output is correct
75 Correct 0 ms 340 KB Output is correct
76 Correct 1 ms 340 KB Output is correct
77 Correct 1 ms 212 KB Output is correct
78 Incorrect 1 ms 468 KB Output isn't correct
79 Halted 0 ms 0 KB -