oj.uz

Submission #200451

# Submission time Handle Problem Language Result Execution time Memory
200451 2020-02-06T20:49:34 Z extraterrestrial Strange Device (APIO19_strange_device) C++14
25 / 100
 1356 ms 104556 KB 
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
#define F first
#define S second
#define pb push_back
#define all(x) (x).begin(), (x).end()
#define SZ(x) (int)x.size()
#define int ll

int k, in_group, groups, a, b;

int get_num(int x) {
	int id = x % groups;
	return in_group * id + (x - id) / groups;
}

int scanline(vector<pair<int, int>> &ev) {
	sort(all(ev));
	int cl = -1, balance = 0, res = 0;
	for (auto it : ev) {
		balance -= it.S;
		if (balance == 0) {
			res += it.F - cl;
			cl = -1;
		}
		else {
			if (cl == -1) {
				cl = it.F;
			} 
		}
	}
	return res;
}

mt19937 rnd(chrono::high_resolution_clock::now().time_since_epoch().count());
int slow_solve(int n, int a, int b, vector<pair<int, int>> q) {
	set<pair<int, int>> used;
	for (auto it : q) {
		for (int i = it.F; i <= it.S; i++) {
			int x = (i + i / b) % a, y = i % b;
			used.insert({x, y});
		}
	}
	return SZ(used);
}

signed main() {
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	//while (true) {
		int n = 1;
		a = 123;
		b = rnd() % a;
		cin >> n >> a >> b;
		vector<pair<int, int>> q(n);
		int lim = 10;	
		for (auto &it : q) {
			cin >> it.F >> it.S;
			//it.F = rnd() % lim;
			//it.S = it.F + rnd() % lim;
		}
		groups = __gcd(a, b + 1);
		in_group = a / groups;
		//cout << groups << ' ' << in_group << '\n';
		map<int, vector<pair<int, int>>> have;
		vector<pair<int, int>> ev;
		for (int i = 0; i < n; i++) {
			int l = q[i].F, r = q[i].S;
			int tl = (l % b == 0 ? l : l + (b - l % b)), tr = (r % b == b - 1 ? r : r - r % b - 1);
			int x = ((l - l % b) + ((l - l % b) / b)) % a, y = l % b,  
			x2 = ((r - r % b) + ((r - r % b) / b)) % a, y2 = r % b;
			//cout << i << ' ' << tl << ' ' << tr << '\n';
			tr -= b - 1;
			if (tl > tr && x == x2) {
				//cout << "C0 " << get_num(x) << ' ' << y << ' ' << y2 << '\n';
				have[get_num(x)].pb({y, -1ll});
				have[get_num(x)].pb({y2 + 1, 1ll});
				continue;
			}
			//cout << "OK " << i << '\n';	
			if (tl > l) {
				//cout << "C1 " << get_num(x) << ' ' << y << '\n';
				have[get_num(x)].pb({y, -1ll});
				have[get_num(x)].pb({b, 1ll});
			}
			if (tr < r) {
				//cout << "C2 " << get_num(x) << ' ' << y2 << '\n';
				have[get_num(x2)].pb({0ll, -1ll});
				have[get_num(x2)].pb({y2 + 1, 1ll});
			}
			if (tl > tr) {
				continue;
			}
			tr += b - 1;
			int cx = (tl + tl / b) % a, id = cx % groups, num_in_group = (cx - id) / groups;
			int f = get_num((tl + tl / b) % a), s = get_num((tr + tr / b) % a), cnt = (tr - tl + 1) / b;
			//cout << i << ' ' << (tl + tl / b) % a << ' ' << (tr + tr / b) % a << ' ' <<  f << ' ' << s << '\n';
			/*if (f <= s) {
				cnt = s - f + 1;
			}
			else {
				cnt = in_group - (s - f - 1); 
			}*/
			cnt = min(cnt, in_group);
			//cout << "MAIN_C " << f << ' ' << cnt << ' ' << id << ' ' << num_in_group << ' ' << get_num(cx) << '\n';
			if (num_in_group + cnt - 1 < in_group) {
				ev.pb({get_num(cx), -1});
				ev.pb({get_num(cx) + cnt, 1});
			}
			else {
				ev.pb({get_num(cx), -1});
				ev.pb({get_num(cx) - num_in_group + in_group, 1});
				cnt -= in_group - num_in_group;
				ev.pb({get_num(cx) - num_in_group, -1});
				ev.pb({get_num(cx) - num_in_group + cnt, 1});
			}
		}
		sort(all(ev));
		/*for (auto it : ev) {
			cout << "DB " << it.F << ' ' << it.S << '\n';
		}*/
		int balance = 0, cl = -1, ans = 0;
		for (auto it : ev) {
			balance -= it.S;
			if (balance == 0) {
				while (!have.empty() && have.begin()->F < it.F) {
					have.erase(have.begin());
				}
				ans += (it.F - cl) * b;
				cl = -1;
			}
			else if (balance > 0 && cl == -1) {
				while (!have.empty() && have.begin()->F < it.F) {
					ans += scanline(have.begin()->S);
					have.erase(have.begin());
				}
				cl = it.F;
			}
		}
		//cout << ans << '\n';
		for (auto it : have) {
			ans += scanline(it.S);
		}
		/*if (ans != slow_solve(n, a, b, q)) {
			cout << "ERROR\n";
			cout << n << ' ' << a << ' ' << b << '\n';
			for (auto it : q) {
				cout << it.F << ' ' << it.S << '\n';
			}
			cout << ans << ' ' << slow_solve(n, a, b, q) << '\n';
			cout << '\n';
			exit(0);
		}*/	
	//}
	
	cout << ans << '\n';	
}

Compilation message

strange_device.cpp: In function 'int main()':
strange_device.cpp:99:8: warning: unused variable 'f' [-Wunused-variable]
    int f = get_num((tl + tl / b) % a), s = get_num((tr + tr / b) % a), cnt = (tr - tl + 1) / b;
        ^
strange_device.cpp:99:40: warning: unused variable 's' [-Wunused-variable]
    int f = get_num((tl + tl / b) % a), s = get_num((tr + tr / b) % a), cnt = (tr - tl + 1) / b;
                                        ^
strange_device.cpp:59:7: warning: unused variable 'lim' [-Wunused-variable]
   int lim = 10; 
       ^~~

Subtask #1
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 376 KB Output is correct
2 Correct 12 ms 888 KB Output is correct
3 Correct 11 ms 888 KB Output is correct
4 Correct 5 ms 376 KB Output is correct
5 Correct 5 ms 376 KB Output is correct
6 Incorrect 5 ms 380 KB Output isn't correct
7 Halted 0 ms 0 KB -

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 376 KB Output is correct
2 Correct 5 ms 376 KB Output is correct
3 Correct 5 ms 376 KB Output is correct
4 Correct 5 ms 376 KB Output is correct
5 Correct 5 ms 376 KB Output is correct

Subtask #3
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 248 KB Output is correct
2 Incorrect 6 ms 508 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #4
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 376 KB Output is correct
2 Incorrect 832 ms 49096 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #5
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 376 KB Output is correct
2 Incorrect 832 ms 49096 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #6
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 376 KB Output is correct
2 Incorrect 832 ms 49096 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #7
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 376 KB Output is correct
2 Correct 69 ms 5368 KB Output is correct
3 Correct 69 ms 5424 KB Output is correct
4 Correct 1356 ms 104556 KB Output is correct
5 Correct 79 ms 6904 KB Output is correct
6 Correct 80 ms 6520 KB Output is correct
7 Correct 79 ms 6904 KB Output is correct
8 Correct 110 ms 10360 KB Output is correct
9 Correct 108 ms 10744 KB Output is correct
10 Correct 64 ms 5240 KB Output is correct
11 Correct 77 ms 5544 KB Output is correct
12 Correct 63 ms 5624 KB Output is correct
13 Correct 86 ms 8316 KB Output is correct
14 Correct 606 ms 48440 KB Output is correct
15 Correct 67 ms 5752 KB Output is correct
16 Correct 675 ms 47920 KB Output is correct
17 Correct 1240 ms 98424 KB Output is correct
18 Correct 5 ms 376 KB Output is correct

Subtask #8
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 376 KB Output is correct
2 Correct 12 ms 888 KB Output is correct
3 Correct 11 ms 888 KB Output is correct
4 Correct 5 ms 376 KB Output is correct
5 Correct 5 ms 376 KB Output is correct
6 Incorrect 5 ms 380 KB Output isn't correct
7 Halted 0 ms 0 KB -