Submission #410637

# Submission time Handle Problem Language Result Execution time Memory
410637 2021-05-23T08:10:10 Z dynam1c Strange Device (APIO19_strange_device) C++17
100 / 100
959 ms 97704 KB
//#pragma comment(linker, "/stack:200000000")
//#pragma GCC optimize("Ofast")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
#include <bits/stdc++.h>

using namespace std;
typedef long long ll;

#define endl "\n"
#define all(c) (c).begin(),(c).end()

// when you ponder, divide and conquer

#define lo __int128

lo _gcd(lo x, lo y) {
	if (x == 0) return y;
	return _gcd(y % x, x);
}

signed main() {
	// freopen("input.txt", "r", stdin); freopen("output.txt", "w", stdout);
	std::ios::sync_with_stdio(false);
	cin.tie(0);
	
	ll n, a, b;
	cin >> n >> a >> b;
	lo g = _gcd(b+1, (lo) a*b);
	lo m = (lo) a * b / g;
	vector<pair<lo, int>> evs;
	for (int i = 0; i < n; i++) {
		ll xl, xr;
		cin >> xl >> xr;
		xr++;
		if (xr-xl >= m) {
			cout << ((ll) m) << endl;
			return 0;
		}
		lo l = xl % m;
		lo r = xr % m;
		if (r <= l)
			evs.emplace_back(0, -1), evs.emplace_back(r, 1), evs.emplace_back(l, -1), evs.emplace_back(m, 1);
		else
			evs.emplace_back(l, -1), evs.emplace_back(r, 1);
	}
	sort(all(evs));
	ll res = 0;
	lo p = 0;
	int c = 0;
	for (auto [x, t] : evs) {
		if (c == 0) p = x;
		c -= t;
		if (c == 0) res += x-p;
	}
	cout << res << endl;
}
/* --- PSolving ---
 * Simplifying (getting rid of variables, conditions, code logic, etc.)
 * Reframing
 * Solving a subtask (subgoal, aux. problem, removing a condition or fixing a parameter, etc.)
 * Inducing
 * Divide and conquer
 * Working backwards
 * Visual intuition
 * !! Reductions don't have to be specializations, they can be generalizations
 */
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 7 ms 1484 KB Output is correct
3 Correct 7 ms 1484 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 7 ms 1484 KB Output is correct
17 Correct 81 ms 8616 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 2 ms 332 KB Output is correct
5 Correct 482 ms 66000 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 696 ms 66076 KB Output is correct
3 Correct 745 ms 66020 KB Output is correct
4 Correct 684 ms 66080 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 696 ms 66076 KB Output is correct
3 Correct 745 ms 66020 KB Output is correct
4 Correct 684 ms 66080 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 696 ms 66028 KB Output is correct
7 Correct 744 ms 66084 KB Output is correct
8 Correct 681 ms 66220 KB Output is correct
9 Correct 896 ms 66056 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 696 ms 66076 KB Output is correct
3 Correct 745 ms 66020 KB Output is correct
4 Correct 684 ms 66080 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 64 ms 8612 KB Output is correct
7 Correct 72 ms 8648 KB Output is correct
8 Correct 61 ms 8640 KB Output is correct
9 Correct 65 ms 8624 KB Output is correct
10 Correct 59 ms 8560 KB Output is correct
11 Correct 67 ms 8660 KB Output is correct
12 Correct 62 ms 8628 KB Output is correct
13 Correct 72 ms 8632 KB Output is correct
14 Correct 62 ms 8544 KB Output is correct
15 Correct 82 ms 8564 KB Output is correct
16 Correct 74 ms 8656 KB Output is correct
17 Correct 63 ms 8572 KB Output is correct
18 Correct 806 ms 66240 KB Output is correct
19 Correct 687 ms 66044 KB Output is correct
20 Correct 901 ms 66028 KB Output is correct
21 Correct 86 ms 8672 KB Output is correct
22 Correct 60 ms 8560 KB Output is correct
23 Correct 205 ms 33164 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 75 ms 8640 KB Output is correct
3 Correct 74 ms 8576 KB Output is correct
4 Correct 941 ms 66180 KB Output is correct
5 Correct 75 ms 8724 KB Output is correct
6 Correct 73 ms 8584 KB Output is correct
7 Correct 76 ms 8616 KB Output is correct
8 Correct 94 ms 8568 KB Output is correct
9 Correct 71 ms 8652 KB Output is correct
10 Correct 79 ms 8624 KB Output is correct
11 Correct 73 ms 8684 KB Output is correct
12 Correct 66 ms 8600 KB Output is correct
13 Correct 79 ms 8624 KB Output is correct
14 Correct 881 ms 66120 KB Output is correct
15 Correct 80 ms 8548 KB Output is correct
16 Correct 679 ms 66040 KB Output is correct
17 Correct 696 ms 66028 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 7 ms 1484 KB Output is correct
3 Correct 7 ms 1484 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 7 ms 1484 KB Output is correct
17 Correct 81 ms 8616 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 204 KB Output is correct
20 Correct 1 ms 204 KB Output is correct
21 Correct 1 ms 204 KB Output is correct
22 Correct 1 ms 204 KB Output is correct
23 Correct 1 ms 204 KB Output is correct
24 Correct 1 ms 204 KB Output is correct
25 Correct 1 ms 332 KB Output is correct
26 Correct 1 ms 332 KB Output is correct
27 Correct 2 ms 332 KB Output is correct
28 Correct 482 ms 66000 KB Output is correct
29 Correct 1 ms 204 KB Output is correct
30 Correct 696 ms 66076 KB Output is correct
31 Correct 745 ms 66020 KB Output is correct
32 Correct 684 ms 66080 KB Output is correct
33 Correct 1 ms 204 KB Output is correct
34 Correct 696 ms 66028 KB Output is correct
35 Correct 744 ms 66084 KB Output is correct
36 Correct 681 ms 66220 KB Output is correct
37 Correct 896 ms 66056 KB Output is correct
38 Correct 1 ms 204 KB Output is correct
39 Correct 64 ms 8612 KB Output is correct
40 Correct 72 ms 8648 KB Output is correct
41 Correct 61 ms 8640 KB Output is correct
42 Correct 65 ms 8624 KB Output is correct
43 Correct 59 ms 8560 KB Output is correct
44 Correct 67 ms 8660 KB Output is correct
45 Correct 62 ms 8628 KB Output is correct
46 Correct 72 ms 8632 KB Output is correct
47 Correct 62 ms 8544 KB Output is correct
48 Correct 82 ms 8564 KB Output is correct
49 Correct 74 ms 8656 KB Output is correct
50 Correct 63 ms 8572 KB Output is correct
51 Correct 806 ms 66240 KB Output is correct
52 Correct 687 ms 66044 KB Output is correct
53 Correct 901 ms 66028 KB Output is correct
54 Correct 86 ms 8672 KB Output is correct
55 Correct 60 ms 8560 KB Output is correct
56 Correct 205 ms 33164 KB Output is correct
57 Correct 1 ms 204 KB Output is correct
58 Correct 75 ms 8640 KB Output is correct
59 Correct 74 ms 8576 KB Output is correct
60 Correct 941 ms 66180 KB Output is correct
61 Correct 75 ms 8724 KB Output is correct
62 Correct 73 ms 8584 KB Output is correct
63 Correct 76 ms 8616 KB Output is correct
64 Correct 94 ms 8568 KB Output is correct
65 Correct 71 ms 8652 KB Output is correct
66 Correct 79 ms 8624 KB Output is correct
67 Correct 73 ms 8684 KB Output is correct
68 Correct 66 ms 8600 KB Output is correct
69 Correct 79 ms 8624 KB Output is correct
70 Correct 881 ms 66120 KB Output is correct
71 Correct 80 ms 8548 KB Output is correct
72 Correct 679 ms 66040 KB Output is correct
73 Correct 696 ms 66028 KB Output is correct
74 Correct 1 ms 204 KB Output is correct
75 Correct 1 ms 204 KB Output is correct
76 Correct 1 ms 204 KB Output is correct
77 Correct 1 ms 204 KB Output is correct
78 Correct 1 ms 204 KB Output is correct
79 Correct 7 ms 1860 KB Output is correct
80 Correct 944 ms 95768 KB Output is correct
81 Correct 959 ms 95756 KB Output is correct
82 Correct 899 ms 95904 KB Output is correct
83 Correct 893 ms 95656 KB Output is correct
84 Correct 889 ms 97704 KB Output is correct
85 Correct 892 ms 95680 KB Output is correct
86 Correct 200 ms 43024 KB Output is correct
87 Correct 1 ms 332 KB Output is correct